1,1,17,21,0.043883,"\text{Not used}","int(x^2/((x - 1)^2*(x + 1)^2),x)","-\frac{\mathrm{atanh}\left(x\right)}{2}-\frac{x}{2\,\left(x^2-1\right)}","Not used",1,"- atanh(x)/2 - x/(2*(x^2 - 1))","B"
2,1,47,55,0.314346,"\text{Not used}","int(x^2*(a*c - b*c*x)^3*(a + b*x),x)","\frac{a^4\,c^3\,x^3}{3}-\frac{a^3\,b\,c^3\,x^4}{2}+\frac{a\,b^3\,c^3\,x^6}{3}-\frac{b^4\,c^3\,x^7}{7}","Not used",1,"(a^4*c^3*x^3)/3 - (b^4*c^3*x^7)/7 - (a^3*b*c^3*x^4)/2 + (a*b^3*c^3*x^6)/3","B"
3,1,47,55,0.051373,"\text{Not used}","int(x*(a*c - b*c*x)^3*(a + b*x),x)","\frac{a^4\,c^3\,x^2}{2}-\frac{2\,a^3\,b\,c^3\,x^3}{3}+\frac{2\,a\,b^3\,c^3\,x^5}{5}-\frac{b^4\,c^3\,x^6}{6}","Not used",1,"(a^4*c^3*x^2)/2 - (b^4*c^3*x^6)/6 - (2*a^3*b*c^3*x^3)/3 + (2*a*b^3*c^3*x^5)/5","B"
4,1,44,38,0.047959,"\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"
5,1,43,47,0.046045,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x,x)","a^4\,c^3\,\ln\left(x\right)-\frac{b^4\,c^3\,x^4}{4}+\frac{2\,a\,b^3\,c^3\,x^3}{3}-2\,a^3\,b\,c^3\,x","Not used",1,"a^4*c^3*log(x) - (b^4*c^3*x^4)/4 + (2*a*b^3*c^3*x^3)/3 - 2*a^3*b*c^3*x","B"
6,1,45,47,0.042044,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^2,x)","a\,b^3\,c^3\,x^2-\frac{b^4\,c^3\,x^3}{3}-\frac{a^4\,c^3}{x}-2\,a^3\,b\,c^3\,\ln\left(x\right)","Not used",1,"a*b^3*c^3*x^2 - (b^4*c^3*x^3)/3 - (a^4*c^3)/x - 2*a^3*b*c^3*log(x)","B"
7,1,35,18,0.285273,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^3,x)","-\frac{c^3\,\left(a^4-4\,a^3\,b\,x-4\,a\,b^3\,x^3+b^4\,x^4\right)}{2\,x^2}","Not used",1,"-(c^3*(a^4 + b^4*x^4 - 4*a*b^3*x^3 - 4*a^3*b*x))/(2*x^2)","B"
8,1,38,45,0.044950,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^4,x)","-\frac{c^3\,\left(a^4+3\,b^4\,x^4-3\,a^3\,b\,x-6\,a\,b^3\,x^3\,\ln\left(x\right)\right)}{3\,x^3}","Not used",1,"-(c^3*(a^4 + 3*b^4*x^4 - 3*a^3*b*x - 6*a*b^3*x^3*log(x)))/(3*x^3)","B"
9,1,40,50,0.058120,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^5,x)","-\frac{c^3\,\left(3\,a^4+24\,a\,b^3\,x^3+12\,b^4\,x^4\,\ln\left(x\right)-8\,a^3\,b\,x\right)}{12\,x^4}","Not used",1,"-(c^3*(3*a^4 + 24*a*b^3*x^3 + 12*b^4*x^4*log(x) - 8*a^3*b*x))/(12*x^4)","B"
10,1,46,50,0.284970,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^6,x)","-\frac{\frac{a^4\,c^3}{5}-\frac{a^3\,b\,c^3\,x}{2}+a\,b^3\,c^3\,x^3-b^4\,c^3\,x^4}{x^5}","Not used",1,"-((a^4*c^3)/5 - b^4*c^3*x^4 + a*b^3*c^3*x^3 - (a^3*b*c^3*x)/2)/x^5","B"
11,1,47,55,0.285473,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^7,x)","-\frac{\frac{a^4\,c^3}{6}-\frac{2\,a^3\,b\,c^3\,x}{5}+\frac{2\,a\,b^3\,c^3\,x^3}{3}-\frac{b^4\,c^3\,x^4}{2}}{x^6}","Not used",1,"-((a^4*c^3)/6 - (b^4*c^3*x^4)/2 + (2*a*b^3*c^3*x^3)/3 - (2*a^3*b*c^3*x)/5)/x^6","B"
12,1,47,55,0.288687,"\text{Not used}","int(((a*c - b*c*x)^3*(a + b*x))/x^8,x)","-\frac{\frac{a^4\,c^3}{7}-\frac{a^3\,b\,c^3\,x}{3}+\frac{a\,b^3\,c^3\,x^3}{2}-\frac{b^4\,c^3\,x^4}{3}}{x^7}","Not used",1,"-((a^4*c^3)/7 - (b^4*c^3*x^4)/3 + (a*b^3*c^3*x^3)/2 - (a^3*b*c^3*x)/3)/x^7","B"
13,1,75,87,0.029666,"\text{Not used}","int(x^4*(a*c - b*c*x)^4*(a + b*x),x)","\frac{a^5\,c^4\,x^5}{5}-\frac{a^4\,b\,c^4\,x^6}{2}+\frac{2\,a^3\,b^2\,c^4\,x^7}{7}+\frac{a^2\,b^3\,c^4\,x^8}{4}-\frac{a\,b^4\,c^4\,x^9}{3}+\frac{b^5\,c^4\,x^{10}}{10}","Not used",1,"(a^5*c^4*x^5)/5 + (b^5*c^4*x^10)/10 - (a^4*b*c^4*x^6)/2 - (a*b^4*c^4*x^9)/3 + (2*a^3*b^2*c^4*x^7)/7 + (a^2*b^3*c^4*x^8)/4","B"
14,1,75,87,0.029204,"\text{Not used}","int(x^3*(a*c - b*c*x)^4*(a + b*x),x)","\frac{a^5\,c^4\,x^4}{4}-\frac{3\,a^4\,b\,c^4\,x^5}{5}+\frac{a^3\,b^2\,c^4\,x^6}{3}+\frac{2\,a^2\,b^3\,c^4\,x^7}{7}-\frac{3\,a\,b^4\,c^4\,x^8}{8}+\frac{b^5\,c^4\,x^9}{9}","Not used",1,"(a^5*c^4*x^4)/4 + (b^5*c^4*x^9)/9 - (3*a^4*b*c^4*x^5)/5 - (3*a*b^4*c^4*x^8)/8 + (a^3*b^2*c^4*x^6)/3 + (2*a^2*b^3*c^4*x^7)/7","B"
15,1,75,80,0.028156,"\text{Not used}","int(x^2*(a*c - b*c*x)^4*(a + b*x),x)","\frac{a^5\,c^4\,x^3}{3}-\frac{3\,a^4\,b\,c^4\,x^4}{4}+\frac{2\,a^3\,b^2\,c^4\,x^5}{5}+\frac{a^2\,b^3\,c^4\,x^6}{3}-\frac{3\,a\,b^4\,c^4\,x^7}{7}+\frac{b^5\,c^4\,x^8}{8}","Not used",1,"(a^5*c^4*x^3)/3 + (b^5*c^4*x^8)/8 - (3*a^4*b*c^4*x^4)/4 - (3*a*b^4*c^4*x^7)/7 + (2*a^3*b^2*c^4*x^5)/5 + (a^2*b^3*c^4*x^6)/3","B"
16,1,75,59,0.028380,"\text{Not used}","int(x*(a*c - b*c*x)^4*(a + b*x),x)","\frac{a^5\,c^4\,x^2}{2}-a^4\,b\,c^4\,x^3+\frac{a^3\,b^2\,c^4\,x^4}{2}+\frac{2\,a^2\,b^3\,c^4\,x^5}{5}-\frac{a\,b^4\,c^4\,x^6}{2}+\frac{b^5\,c^4\,x^7}{7}","Not used",1,"(a^5*c^4*x^2)/2 + (b^5*c^4*x^7)/7 - a^4*b*c^4*x^3 - (a*b^4*c^4*x^6)/2 + (a^3*b^2*c^4*x^4)/2 + (2*a^2*b^3*c^4*x^5)/5","B"
17,1,72,38,0.027445,"\text{Not used}","int((a*c - b*c*x)^4*(a + b*x),x)","a^5\,c^4\,x-\frac{3\,a^4\,b\,c^4\,x^2}{2}+\frac{2\,a^3\,b^2\,c^4\,x^3}{3}+\frac{a^2\,b^3\,c^4\,x^4}{2}-\frac{3\,a\,b^4\,c^4\,x^5}{5}+\frac{b^5\,c^4\,x^6}{6}","Not used",1,"a^5*c^4*x + (b^5*c^4*x^6)/6 - (3*a^4*b*c^4*x^2)/2 - (3*a*b^4*c^4*x^5)/5 + (2*a^3*b^2*c^4*x^3)/3 + (a^2*b^3*c^4*x^4)/2","B"
18,1,70,76,0.033074,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x,x)","\frac{b^5\,c^4\,x^5}{5}+a^5\,c^4\,\ln\left(x\right)-\frac{3\,a\,b^4\,c^4\,x^4}{4}+a^3\,b^2\,c^4\,x^2+\frac{2\,a^2\,b^3\,c^4\,x^3}{3}-3\,a^4\,b\,c^4\,x","Not used",1,"(b^5*c^4*x^5)/5 + a^5*c^4*log(x) - (3*a*b^4*c^4*x^4)/4 + a^3*b^2*c^4*x^2 + (2*a^2*b^3*c^4*x^3)/3 - 3*a^4*b*c^4*x","B"
19,1,71,73,0.037638,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^2,x)","\frac{b^5\,c^4\,x^4}{4}-\frac{a^5\,c^4}{x}+2\,a^3\,b^2\,c^4\,x-a\,b^4\,c^4\,x^3-3\,a^4\,b\,c^4\,\ln\left(x\right)+a^2\,b^3\,c^4\,x^2","Not used",1,"(b^5*c^4*x^4)/4 - (a^5*c^4)/x + 2*a^3*b^2*c^4*x - a*b^4*c^4*x^3 - 3*a^4*b*c^4*log(x) + a^2*b^3*c^4*x^2","B"
20,1,73,78,0.277856,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^3,x)","\frac{b^5\,c^4\,x^3}{3}-\frac{\frac{a^5\,c^4}{2}-3\,a^4\,b\,c^4\,x}{x^2}+2\,a^2\,b^3\,c^4\,x-\frac{3\,a\,b^4\,c^4\,x^2}{2}+2\,a^3\,b^2\,c^4\,\ln\left(x\right)","Not used",1,"(b^5*c^4*x^3)/3 - ((a^5*c^4)/2 - 3*a^4*b*c^4*x)/x^2 + 2*a^2*b^3*c^4*x - (3*a*b^4*c^4*x^2)/2 + 2*a^3*b^2*c^4*log(x)","B"
21,1,73,78,0.048325,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^4,x)","\frac{b^5\,c^4\,x^2}{2}-\frac{\frac{a^5\,c^4}{3}-\frac{3\,a^4\,b\,c^4\,x}{2}+2\,a^3\,b^2\,c^4\,x^2}{x^3}+2\,a^2\,b^3\,c^4\,\ln\left(x\right)-3\,a\,b^4\,c^4\,x","Not used",1,"(b^5*c^4*x^2)/2 - ((a^5*c^4)/3 + 2*a^3*b^2*c^4*x^2 - (3*a^4*b*c^4*x)/2)/x^3 + 2*a^2*b^3*c^4*log(x) - 3*a*b^4*c^4*x","B"
22,1,60,72,0.292013,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^5,x)","-\frac{c^4\,\left(a^5-4\,b^5\,x^5+4\,a^3\,b^2\,x^2+8\,a^2\,b^3\,x^3-4\,a^4\,b\,x+12\,a\,b^4\,x^4\,\ln\left(x\right)\right)}{4\,x^4}","Not used",1,"-(c^4*(a^5 - 4*b^5*x^5 + 4*a^3*b^2*x^2 + 8*a^2*b^3*x^3 - 4*a^4*b*x + 12*a*b^4*x^4*log(x)))/(4*x^4)","B"
23,1,61,79,0.044958,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^6,x)","-\frac{c^4\,\left(\frac{a^5}{5}-3\,a\,b^4\,x^4+\frac{2\,a^3\,b^2\,x^2}{3}+a^2\,b^3\,x^3-b^5\,x^5\,\ln\left(x\right)-\frac{3\,a^4\,b\,x}{4}\right)}{x^5}","Not used",1,"-(c^4*(a^5/5 - 3*a*b^4*x^4 + (2*a^3*b^2*x^2)/3 + a^2*b^3*x^3 - b^5*x^5*log(x) - (3*a^4*b*x)/4))/x^5","B"
24,1,74,41,0.045602,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^7,x)","-\frac{\frac{a^5\,c^4}{6}-\frac{3\,a^4\,b\,c^4\,x}{5}+\frac{a^3\,b^2\,c^4\,x^2}{2}+\frac{2\,a^2\,b^3\,c^4\,x^3}{3}-\frac{3\,a\,b^4\,c^4\,x^4}{2}+b^5\,c^4\,x^5}{x^6}","Not used",1,"-((a^5*c^4)/6 + b^5*c^4*x^5 - (3*a*b^4*c^4*x^4)/2 + (a^3*b^2*c^4*x^2)/2 + (2*a^2*b^3*c^4*x^3)/3 - (3*a^4*b*c^4*x)/5)/x^6","B"
25,1,75,84,0.288374,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^8,x)","-\frac{\frac{a^5\,c^4}{7}-\frac{a^4\,b\,c^4\,x}{2}+\frac{2\,a^3\,b^2\,c^4\,x^2}{5}+\frac{a^2\,b^3\,c^4\,x^3}{2}-a\,b^4\,c^4\,x^4+\frac{b^5\,c^4\,x^5}{2}}{x^7}","Not used",1,"-((a^5*c^4)/7 + (b^5*c^4*x^5)/2 - a*b^4*c^4*x^4 + (2*a^3*b^2*c^4*x^2)/5 + (a^2*b^3*c^4*x^3)/2 - (a^4*b*c^4*x)/2)/x^7","B"
26,1,75,87,0.291895,"\text{Not used}","int(((a*c - b*c*x)^4*(a + b*x))/x^9,x)","-\frac{\frac{a^5\,c^4}{8}-\frac{3\,a^4\,b\,c^4\,x}{7}+\frac{a^3\,b^2\,c^4\,x^2}{3}+\frac{2\,a^2\,b^3\,c^4\,x^3}{5}-\frac{3\,a\,b^4\,c^4\,x^4}{4}+\frac{b^5\,c^4\,x^5}{3}}{x^8}","Not used",1,"-((a^5*c^4)/8 + (b^5*c^4*x^5)/3 - (3*a*b^4*c^4*x^4)/4 + (a^3*b^2*c^4*x^2)/3 + (2*a^2*b^3*c^4*x^3)/5 - (3*a^4*b*c^4*x)/7)/x^8","B"
27,1,75,87,0.030700,"\text{Not used}","int(x^4*(a*c - b*c*x)^5*(a + b*x),x)","\frac{a^6\,c^5\,x^5}{5}-\frac{2\,a^5\,b\,c^5\,x^6}{3}+\frac{5\,a^4\,b^2\,c^5\,x^7}{7}-\frac{5\,a^2\,b^4\,c^5\,x^9}{9}+\frac{2\,a\,b^5\,c^5\,x^{10}}{5}-\frac{b^6\,c^5\,x^{11}}{11}","Not used",1,"(a^6*c^5*x^5)/5 - (b^6*c^5*x^11)/11 - (2*a^5*b*c^5*x^6)/3 + (2*a*b^5*c^5*x^10)/5 + (5*a^4*b^2*c^5*x^7)/7 - (5*a^2*b^4*c^5*x^9)/9","B"
28,1,75,87,0.029108,"\text{Not used}","int(x^3*(a*c - b*c*x)^5*(a + b*x),x)","\frac{a^6\,c^5\,x^4}{4}-\frac{4\,a^5\,b\,c^5\,x^5}{5}+\frac{5\,a^4\,b^2\,c^5\,x^6}{6}-\frac{5\,a^2\,b^4\,c^5\,x^8}{8}+\frac{4\,a\,b^5\,c^5\,x^9}{9}-\frac{b^6\,c^5\,x^{10}}{10}","Not used",1,"(a^6*c^5*x^4)/4 - (b^6*c^5*x^10)/10 - (4*a^5*b*c^5*x^5)/5 + (4*a*b^5*c^5*x^9)/9 + (5*a^4*b^2*c^5*x^6)/6 - (5*a^2*b^4*c^5*x^8)/8","B"
29,1,74,80,0.028100,"\text{Not used}","int(x^2*(a*c - b*c*x)^5*(a + b*x),x)","\frac{a^6\,c^5\,x^3}{3}-a^5\,b\,c^5\,x^4+a^4\,b^2\,c^5\,x^5-\frac{5\,a^2\,b^4\,c^5\,x^7}{7}+\frac{a\,b^5\,c^5\,x^8}{2}-\frac{b^6\,c^5\,x^9}{9}","Not used",1,"(a^6*c^5*x^3)/3 - (b^6*c^5*x^9)/9 - a^5*b*c^5*x^4 + (a*b^5*c^5*x^8)/2 + a^4*b^2*c^5*x^5 - (5*a^2*b^4*c^5*x^7)/7","B"
30,1,75,59,0.028938,"\text{Not used}","int(x*(a*c - b*c*x)^5*(a + b*x),x)","\frac{a^6\,c^5\,x^2}{2}-\frac{4\,a^5\,b\,c^5\,x^3}{3}+\frac{5\,a^4\,b^2\,c^5\,x^4}{4}-\frac{5\,a^2\,b^4\,c^5\,x^6}{6}+\frac{4\,a\,b^5\,c^5\,x^7}{7}-\frac{b^6\,c^5\,x^8}{8}","Not used",1,"(a^6*c^5*x^2)/2 - (b^6*c^5*x^8)/8 - (4*a^5*b*c^5*x^3)/3 + (4*a*b^5*c^5*x^7)/7 + (5*a^4*b^2*c^5*x^4)/4 - (5*a^2*b^4*c^5*x^6)/6","B"
31,1,72,38,0.027928,"\text{Not used}","int((a*c - b*c*x)^5*(a + b*x),x)","a^6\,c^5\,x-2\,a^5\,b\,c^5\,x^2+\frac{5\,a^4\,b^2\,c^5\,x^3}{3}-a^2\,b^4\,c^5\,x^5+\frac{2\,a\,b^5\,c^5\,x^6}{3}-\frac{b^6\,c^5\,x^7}{7}","Not used",1,"a^6*c^5*x - (b^6*c^5*x^7)/7 - 2*a^5*b*c^5*x^2 + (2*a*b^5*c^5*x^6)/3 + (5*a^4*b^2*c^5*x^3)/3 - a^2*b^4*c^5*x^5","B"
32,1,71,79,0.034118,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x,x)","a^6\,c^5\,\ln\left(x\right)-\frac{b^6\,c^5\,x^6}{6}+\frac{4\,a\,b^5\,c^5\,x^5}{5}+\frac{5\,a^4\,b^2\,c^5\,x^2}{2}-\frac{5\,a^2\,b^4\,c^5\,x^4}{4}-4\,a^5\,b\,c^5\,x","Not used",1,"a^6*c^5*log(x) - (b^6*c^5*x^6)/6 + (4*a*b^5*c^5*x^5)/5 + (5*a^4*b^2*c^5*x^2)/2 - (5*a^2*b^4*c^5*x^4)/4 - 4*a^5*b*c^5*x","B"
33,1,71,75,0.036632,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^2,x)","5\,a^4\,b^2\,c^5\,x-\frac{b^6\,c^5\,x^5}{5}-\frac{a^6\,c^5}{x}+a\,b^5\,c^5\,x^4-4\,a^5\,b\,c^5\,\ln\left(x\right)-\frac{5\,a^2\,b^4\,c^5\,x^3}{3}","Not used",1,"5*a^4*b^2*c^5*x - (b^6*c^5*x^5)/5 - (a^6*c^5)/x + a*b^5*c^5*x^4 - 4*a^5*b*c^5*log(x) - (5*a^2*b^4*c^5*x^3)/3","B"
34,1,75,82,0.035758,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^3,x)","\frac{4\,a\,b^5\,c^5\,x^3}{3}-\frac{b^6\,c^5\,x^4}{4}-\frac{\frac{a^6\,c^5}{2}-4\,a^5\,b\,c^5\,x}{x^2}-\frac{5\,a^2\,b^4\,c^5\,x^2}{2}+5\,a^4\,b^2\,c^5\,\ln\left(x\right)","Not used",1,"(4*a*b^5*c^5*x^3)/3 - (b^6*c^5*x^4)/4 - ((a^6*c^5)/2 - 4*a^5*b*c^5*x)/x^2 - (5*a^2*b^4*c^5*x^2)/2 + 5*a^4*b^2*c^5*log(x)","B"
35,1,74,18,0.055142,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^4,x)","2\,a\,b^5\,c^5\,x^2-\frac{b^6\,c^5\,x^3}{3}-5\,a^2\,b^4\,c^5\,x-\frac{\frac{a^6\,c^5}{3}-2\,a^5\,b\,c^5\,x+5\,a^4\,b^2\,c^5\,x^2}{x^3}","Not used",1,"2*a*b^5*c^5*x^2 - (b^6*c^5*x^3)/3 - 5*a^2*b^4*c^5*x - ((a^6*c^5)/3 + 5*a^4*b^2*c^5*x^2 - 2*a^5*b*c^5*x)/x^3","B"
36,1,73,80,0.047266,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^5,x)","4\,a\,b^5\,c^5\,x-\frac{b^6\,c^5\,x^2}{2}-5\,a^2\,b^4\,c^5\,\ln\left(x\right)-\frac{\frac{a^6\,c^5}{4}-\frac{4\,a^5\,b\,c^5\,x}{3}+\frac{5\,a^4\,b^2\,c^5\,x^2}{2}}{x^4}","Not used",1,"4*a*b^5*c^5*x - (b^6*c^5*x^2)/2 - 5*a^2*b^4*c^5*log(x) - ((a^6*c^5)/4 + (5*a^4*b^2*c^5*x^2)/2 - (4*a^5*b*c^5*x)/3)/x^4","B"
37,1,61,75,0.048616,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^6,x)","-\frac{c^5\,\left(\frac{a^6}{5}+b^6\,x^6+\frac{5\,a^4\,b^2\,x^2}{3}-5\,a^2\,b^4\,x^4-a^5\,b\,x-4\,a\,b^5\,x^5\,\ln\left(x\right)\right)}{x^5}","Not used",1,"-(c^5*(a^6/5 + b^6*x^6 + (5*a^4*b^2*x^2)/3 - 5*a^2*b^4*x^4 - a^5*b*x - 4*a*b^5*x^5*log(x)))/x^5","B"
38,1,62,82,0.059011,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^7,x)","-\frac{c^5\,\left(10\,a^6+240\,a\,b^5\,x^5+75\,a^4\,b^2\,x^2-150\,a^2\,b^4\,x^4+60\,b^6\,x^6\,\ln\left(x\right)-48\,a^5\,b\,x\right)}{60\,x^6}","Not used",1,"-(c^5*(10*a^6 + 240*a*b^5*x^5 + 75*a^4*b^2*x^2 - 150*a^2*b^4*x^4 + 60*b^6*x^6*log(x) - 48*a^5*b*x))/(60*x^6)","B"
39,1,74,41,0.292820,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^8,x)","-\frac{\frac{a^6\,c^5}{7}-\frac{2\,a^5\,b\,c^5\,x}{3}+a^4\,b^2\,c^5\,x^2-\frac{5\,a^2\,b^4\,c^5\,x^4}{3}+2\,a\,b^5\,c^5\,x^5-b^6\,c^5\,x^6}{x^7}","Not used",1,"-((a^6*c^5)/7 - b^6*c^5*x^6 + 2*a*b^5*c^5*x^5 + a^4*b^2*c^5*x^2 - (5*a^2*b^4*c^5*x^4)/3 - (2*a^5*b*c^5*x)/3)/x^7","B"
40,1,75,65,0.045760,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^9,x)","-\frac{\frac{a^6\,c^5}{8}-\frac{4\,a^5\,b\,c^5\,x}{7}+\frac{5\,a^4\,b^2\,c^5\,x^2}{6}-\frac{5\,a^2\,b^4\,c^5\,x^4}{4}+\frac{4\,a\,b^5\,c^5\,x^5}{3}-\frac{b^6\,c^5\,x^6}{2}}{x^8}","Not used",1,"-((a^6*c^5)/8 - (b^6*c^5*x^6)/2 + (4*a*b^5*c^5*x^5)/3 + (5*a^4*b^2*c^5*x^2)/6 - (5*a^2*b^4*c^5*x^4)/4 - (4*a^5*b*c^5*x)/7)/x^8","B"
41,1,74,82,0.045432,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^10,x)","-\frac{\frac{a^6\,c^5}{9}-\frac{a^5\,b\,c^5\,x}{2}+\frac{5\,a^4\,b^2\,c^5\,x^2}{7}-a^2\,b^4\,c^5\,x^4+a\,b^5\,c^5\,x^5-\frac{b^6\,c^5\,x^6}{3}}{x^9}","Not used",1,"-((a^6*c^5)/9 - (b^6*c^5*x^6)/3 + a*b^5*c^5*x^5 + (5*a^4*b^2*c^5*x^2)/7 - a^2*b^4*c^5*x^4 - (a^5*b*c^5*x)/2)/x^9","B"
42,1,75,87,0.046120,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^11,x)","-\frac{\frac{a^6\,c^5}{10}-\frac{4\,a^5\,b\,c^5\,x}{9}+\frac{5\,a^4\,b^2\,c^5\,x^2}{8}-\frac{5\,a^2\,b^4\,c^5\,x^4}{6}+\frac{4\,a\,b^5\,c^5\,x^5}{5}-\frac{b^6\,c^5\,x^6}{4}}{x^{10}}","Not used",1,"-((a^6*c^5)/10 - (b^6*c^5*x^6)/4 + (4*a*b^5*c^5*x^5)/5 + (5*a^4*b^2*c^5*x^2)/8 - (5*a^2*b^4*c^5*x^4)/6 - (4*a^5*b*c^5*x)/9)/x^10","B"
43,1,75,87,0.298418,"\text{Not used}","int(((a*c - b*c*x)^5*(a + b*x))/x^12,x)","-\frac{\frac{a^6\,c^5}{11}-\frac{2\,a^5\,b\,c^5\,x}{5}+\frac{5\,a^4\,b^2\,c^5\,x^2}{9}-\frac{5\,a^2\,b^4\,c^5\,x^4}{7}+\frac{2\,a\,b^5\,c^5\,x^5}{3}-\frac{b^6\,c^5\,x^6}{5}}{x^{11}}","Not used",1,"-((a^6*c^5)/11 - (b^6*c^5*x^6)/5 + (2*a*b^5*c^5*x^5)/3 + (5*a^4*b^2*c^5*x^2)/9 - (5*a^2*b^4*c^5*x^4)/7 - (2*a^5*b*c^5*x)/5)/x^11","B"
44,1,82,113,0.312985,"\text{Not used}","int(((a*c - b*c*x)^6*(a + b*x))/x^8,x)","\frac{c^6\,\left(5\,a\,b^6\,x^6-\frac{a^7}{7}-\frac{9\,a^5\,b^2\,x^2}{5}+\frac{5\,a^4\,b^3\,x^3}{4}+\frac{5\,a^3\,b^4\,x^4}{3}-\frac{9\,a^2\,b^5\,x^5}{2}+b^7\,x^7\,\ln\left(x\right)+\frac{5\,a^6\,b\,x}{6}\right)}{x^7}","Not used",1,"(c^6*(5*a*b^6*x^6 - a^7/7 - (9*a^5*b^2*x^2)/5 + (5*a^4*b^3*x^3)/4 + (5*a^3*b^4*x^4)/3 - (9*a^2*b^5*x^5)/2 + b^7*x^7*log(x) + (5*a^6*b*x)/6))/x^7","B"
45,1,102,41,0.065116,"\text{Not used}","int(((a*c - b*c*x)^6*(a + b*x))/x^9,x)","-\frac{\frac{a^7\,c^6}{8}-\frac{5\,a^6\,b\,c^6\,x}{7}+\frac{3\,a^5\,b^2\,c^6\,x^2}{2}-a^4\,b^3\,c^6\,x^3-\frac{5\,a^3\,b^4\,c^6\,x^4}{4}+3\,a^2\,b^5\,c^6\,x^5-\frac{5\,a\,b^6\,c^6\,x^6}{2}+b^7\,c^6\,x^7}{x^8}","Not used",1,"-((a^7*c^6)/8 + b^7*c^6*x^7 - (5*a*b^6*c^6*x^6)/2 + (3*a^5*b^2*c^6*x^2)/2 - a^4*b^3*c^6*x^3 - (5*a^3*b^4*c^6*x^4)/4 + 3*a^2*b^5*c^6*x^5 - (5*a^6*b*c^6*x)/7)/x^8","B"
46,1,103,65,0.317307,"\text{Not used}","int(((a*c - b*c*x)^6*(a + b*x))/x^10,x)","-\frac{\frac{a^7\,c^6}{9}-\frac{5\,a^6\,b\,c^6\,x}{8}+\frac{9\,a^5\,b^2\,c^6\,x^2}{7}-\frac{5\,a^4\,b^3\,c^6\,x^3}{6}-a^3\,b^4\,c^6\,x^4+\frac{9\,a^2\,b^5\,c^6\,x^5}{4}-\frac{5\,a\,b^6\,c^6\,x^6}{3}+\frac{b^7\,c^6\,x^7}{2}}{x^9}","Not used",1,"-((a^7*c^6)/9 + (b^7*c^6*x^7)/2 - (5*a*b^6*c^6*x^6)/3 + (9*a^5*b^2*c^6*x^2)/7 - (5*a^4*b^3*c^6*x^3)/6 - a^3*b^4*c^6*x^4 + (9*a^2*b^5*c^6*x^5)/4 - (5*a^6*b*c^6*x)/8)/x^9","B"
47,1,103,89,0.063838,"\text{Not used}","int(((a*c - b*c*x)^6*(a + b*x))/x^11,x)","-\frac{\frac{a^7\,c^6}{10}-\frac{5\,a^6\,b\,c^6\,x}{9}+\frac{9\,a^5\,b^2\,c^6\,x^2}{8}-\frac{5\,a^4\,b^3\,c^6\,x^3}{7}-\frac{5\,a^3\,b^4\,c^6\,x^4}{6}+\frac{9\,a^2\,b^5\,c^6\,x^5}{5}-\frac{5\,a\,b^6\,c^6\,x^6}{4}+\frac{b^7\,c^6\,x^7}{3}}{x^{10}}","Not used",1,"-((a^7*c^6)/10 + (b^7*c^6*x^7)/3 - (5*a*b^6*c^6*x^6)/4 + (9*a^5*b^2*c^6*x^2)/8 - (5*a^4*b^3*c^6*x^3)/7 - (5*a^3*b^4*c^6*x^4)/6 + (9*a^2*b^5*c^6*x^5)/5 - (5*a^6*b*c^6*x)/9)/x^10","B"
48,1,102,114,0.064437,"\text{Not used}","int(((a*c - b*c*x)^6*(a + b*x))/x^12,x)","-\frac{\frac{a^7\,c^6}{11}-\frac{a^6\,b\,c^6\,x}{2}+a^5\,b^2\,c^6\,x^2-\frac{5\,a^4\,b^3\,c^6\,x^3}{8}-\frac{5\,a^3\,b^4\,c^6\,x^4}{7}+\frac{3\,a^2\,b^5\,c^6\,x^5}{2}-a\,b^6\,c^6\,x^6+\frac{b^7\,c^6\,x^7}{4}}{x^{11}}","Not used",1,"-((a^7*c^6)/11 + (b^7*c^6*x^7)/4 - a*b^6*c^6*x^6 + a^5*b^2*c^6*x^2 - (5*a^4*b^3*c^6*x^3)/8 - (5*a^3*b^4*c^6*x^4)/7 + (3*a^2*b^5*c^6*x^5)/2 - (a^6*b*c^6*x)/2)/x^11","B"
49,1,103,119,0.067298,"\text{Not used}","int(((a*c - b*c*x)^6*(a + b*x))/x^13,x)","-\frac{\frac{a^7\,c^6}{12}-\frac{5\,a^6\,b\,c^6\,x}{11}+\frac{9\,a^5\,b^2\,c^6\,x^2}{10}-\frac{5\,a^4\,b^3\,c^6\,x^3}{9}-\frac{5\,a^3\,b^4\,c^6\,x^4}{8}+\frac{9\,a^2\,b^5\,c^6\,x^5}{7}-\frac{5\,a\,b^6\,c^6\,x^6}{6}+\frac{b^7\,c^6\,x^7}{5}}{x^{12}}","Not used",1,"-((a^7*c^6)/12 + (b^7*c^6*x^7)/5 - (5*a*b^6*c^6*x^6)/6 + (9*a^5*b^2*c^6*x^2)/10 - (5*a^4*b^3*c^6*x^3)/9 - (5*a^3*b^4*c^6*x^4)/8 + (9*a^2*b^5*c^6*x^5)/7 - (5*a^6*b*c^6*x)/11)/x^12","B"
50,1,74,106,0.199959,"\text{Not used}","int((e*x)^(5/2)/((a*c - b*c*x)*(a + b*x)),x)","\frac{a^{3/2}\,e^{5/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{b^{7/2}\,c}-\frac{a^{3/2}\,e^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{b^{7/2}\,c}-\frac{2\,e\,{\left(e\,x\right)}^{3/2}}{3\,b^2\,c}","Not used",1,"(a^(3/2)*e^(5/2)*atanh((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(b^(7/2)*c) - (a^(3/2)*e^(5/2)*atan((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(b^(7/2)*c) - (2*e*(e*x)^(3/2))/(3*b^2*c)","B"
51,1,73,103,0.146505,"\text{Not used}","int((e*x)^(3/2)/((a*c - b*c*x)*(a + b*x)),x)","\frac{\sqrt{a}\,e^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{b^{5/2}\,c}-\frac{2\,e\,\sqrt{e\,x}}{b^2\,c}+\frac{\sqrt{a}\,e^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{b^{5/2}\,c}","Not used",1,"(a^(1/2)*e^(3/2)*atan((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(b^(5/2)*c) - (2*e*(e*x)^(1/2))/(b^2*c) + (a^(1/2)*e^(3/2)*atanh((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(b^(5/2)*c)","B"
52,1,53,88,0.138498,"\text{Not used}","int((e*x)^(1/2)/((a*c - b*c*x)*(a + b*x)),x)","-\frac{\sqrt{e}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)-\sqrt{e}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{\sqrt{a}\,b^{3/2}\,c}","Not used",1,"-(e^(1/2)*atan((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))) - e^(1/2)*atanh((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(a^(1/2)*b^(3/2)*c)","B"
53,1,46,87,0.401829,"\text{Not used}","int(1/((a*c - b*c*x)*(e*x)^(1/2)*(a + b*x)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)+\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{a^{3/2}\,\sqrt{b}\,c\,\sqrt{e}}","Not used",1,"(atan((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))) + atanh((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(a^(3/2)*b^(1/2)*c*e^(1/2))","B"
54,1,76,106,0.399074,"\text{Not used}","int(1/((a*c - b*c*x)*(e*x)^(3/2)*(a + b*x)),x)","\frac{\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{a^{5/2}\,c\,e^{3/2}}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{a^{5/2}\,c\,e^{3/2}}-\frac{2}{a^2\,c\,e\,\sqrt{e\,x}}","Not used",1,"(b^(1/2)*atanh((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(a^(5/2)*c*e^(3/2)) - (b^(1/2)*atan((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(a^(5/2)*c*e^(3/2)) - 2/(a^2*c*e*(e*x)^(1/2))","B"
55,1,75,107,0.156631,"\text{Not used}","int(1/((a*c - b*c*x)*(e*x)^(5/2)*(a + b*x)),x)","\frac{b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{a^{7/2}\,c\,e^{5/2}}-\frac{2}{3\,a^2\,c\,e\,{\left(e\,x\right)}^{3/2}}+\frac{b^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{e\,x}}{\sqrt{a}\,\sqrt{e}}\right)}{a^{7/2}\,c\,e^{5/2}}","Not used",1,"(b^(3/2)*atan((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(a^(7/2)*c*e^(5/2)) - 2/(3*a^2*c*e*(e*x)^(3/2)) + (b^(3/2)*atanh((b^(1/2)*(e*x)^(1/2))/(a^(1/2)*e^(1/2))))/(a^(7/2)*c*e^(5/2))","B"
56,1,683,156,0.818442,"\text{Not used}","int(-(e*x)^m*(a*x + 1)^4*(2*a*x - 2)^3,x)","\frac{x\,{\left(e\,x\right)}^m\,\left(8\,m^7+280\,m^6+4088\,m^5+32200\,m^4+147392\,m^3+390880\,m^2+554112\,m+322560\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{8\,a^7\,x^8\,{\left(e\,x\right)}^m\,\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{8\,a^6\,x^7\,{\left(e\,x\right)}^m\,\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{24\,a^5\,x^6\,{\left(e\,x\right)}^m\,\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{24\,a^4\,x^5\,{\left(e\,x\right)}^m\,\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{24\,a^3\,x^4\,{\left(e\,x\right)}^m\,\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{24\,a^2\,x^3\,{\left(e\,x\right)}^m\,\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{8\,a\,x^2\,{\left(e\,x\right)}^m\,\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,"(x*(e*x)^m*(554112*m + 390880*m^2 + 147392*m^3 + 32200*m^4 + 4088*m^5 + 280*m^6 + 8*m^7 + 322560))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) - (8*a^7*x^8*(e*x)^m*(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) - (8*a^6*x^7*(e*x)^m*(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) + (24*a^5*x^6*(e*x)^m*(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) + (24*a^4*x^5*(e*x)^m*(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) - (24*a^3*x^4*(e*x)^m*(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) - (24*a^2*x^3*(e*x)^m*(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) + (8*a*x^2*(e*x)^m*(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"
57,1,367,116,0.572339,"\text{Not used}","int((e*x)^m*(a*x + 1)^3*(2*a*x - 2)^2,x)","{\left(e\,x\right)}^m\,\left(\frac{x\,\left(4\,m^5+80\,m^4+620\,m^3+2320\,m^2+4176\,m+2880\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{4\,a\,x^2\,\left(m^5+19\,m^4+137\,m^3+461\,m^2+702\,m+360\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{4\,a^5\,x^6\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{4\,a^4\,x^5\,\left(m^5+16\,m^4+95\,m^3+260\,m^2+324\,m+144\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{8\,a^3\,x^4\,\left(m^5+17\,m^4+107\,m^3+307\,m^2+396\,m+180\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{8\,a^2\,x^3\,\left(m^5+18\,m^4+121\,m^3+372\,m^2+508\,m+240\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}\right)","Not used",1,"(e*x)^m*((x*(4176*m + 2320*m^2 + 620*m^3 + 80*m^4 + 4*m^5 + 2880))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (4*a*x^2*(702*m + 461*m^2 + 137*m^3 + 19*m^4 + m^5 + 360))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (4*a^5*x^6*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (4*a^4*x^5*(324*m + 260*m^2 + 95*m^3 + 16*m^4 + m^5 + 144))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (8*a^3*x^4*(396*m + 307*m^2 + 107*m^3 + 17*m^4 + m^5 + 180))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (8*a^2*x^3*(508*m + 372*m^2 + 121*m^3 + 18*m^4 + m^5 + 240))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
58,1,165,76,0.422740,"\text{Not used}","int(-(e*x)^m*(a*x + 1)^2*(2*a*x - 2),x)","{\left(e\,x\right)}^m\,\left(\frac{x\,\left(2\,m^3+18\,m^2+52\,m+48\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{2\,a\,x^2\,\left(m^3+8\,m^2+19\,m+12\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{2\,a^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{2\,a^2\,x^3\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"(e*x)^m*((x*(52*m + 18*m^2 + 2*m^3 + 48))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (2*a*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (2*a^3*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (2*a^2*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
59,0,-1,86,0.000000,"\text{Not used}","int((e*x)^m/((a*x + 1)*(2*a*x - 2)^2),x)","\int \frac{{\left(e\,x\right)}^m}{\left(a\,x+1\right)\,{\left(2\,a\,x-2\right)}^2} \,d x","Not used",1,"int((e*x)^m/((a*x + 1)*(2*a*x - 2)^2), x)","F"
60,0,-1,86,0.000000,"\text{Not used}","int(-(e*x)^m/((a*x + 1)^2*(2*a*x - 2)^3),x)","\int -\frac{{\left(e\,x\right)}^m}{{\left(a\,x+1\right)}^2\,{\left(2\,a\,x-2\right)}^3} \,d x","Not used",1,"int(-(e*x)^m/((a*x + 1)^2*(2*a*x - 2)^3), x)","F"
61,0,-1,86,0.000000,"\text{Not used}","int((e*x)^m/((a*x + 1)^3*(2*a*x - 2)^4),x)","\int \frac{{\left(e\,x\right)}^m}{{\left(a\,x+1\right)}^3\,{\left(2\,a\,x-2\right)}^4} \,d x","Not used",1,"int((e*x)^m/((a*x + 1)^3*(2*a*x - 2)^4), x)","F"
62,1,723,197,0.890423,"\text{Not used}","int((a*d - b*d*x)^3*(e*x)^m*(a + b*x)^4,x)","\frac{a^7\,d^3\,x\,{\left(e\,x\right)}^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\,d^3\,x^8\,{\left(e\,x\right)}^m\,\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{a\,b^6\,d^3\,x^7\,{\left(e\,x\right)}^m\,\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{a^6\,b\,d^3\,x^2\,{\left(e\,x\right)}^m\,\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}+\frac{3\,a^2\,b^5\,d^3\,x^6\,{\left(e\,x\right)}^m\,\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{3\,a^3\,b^4\,d^3\,x^5\,{\left(e\,x\right)}^m\,\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{3\,a^4\,b^3\,d^3\,x^4\,{\left(e\,x\right)}^m\,\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{3\,a^5\,b^2\,d^3\,x^3\,{\left(e\,x\right)}^m\,\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}","Not used",1,"(a^7*d^3*x*(e*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*d^3*x^8*(e*x)^m*(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) - (a*b^6*d^3*x^7*(e*x)^m*(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) + (a^6*b*d^3*x^2*(e*x)^m*(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) + (3*a^2*b^5*d^3*x^6*(e*x)^m*(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) + (3*a^3*b^4*d^3*x^5*(e*x)^m*(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) - (3*a^4*b^3*d^3*x^4*(e*x)^m*(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) - (3*a^5*b^2*d^3*x^3*(e*x)^m*(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)","B"
63,1,393,143,0.610009,"\text{Not used}","int((a*d - b*d*x)^2*(e*x)^m*(a + b*x)^3,x)","{\left(e\,x\right)}^m\,\left(\frac{b^5\,d^2\,x^6\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^5\,d^2\,x\,\left(m^5+20\,m^4+155\,m^3+580\,m^2+1044\,m+720\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a\,b^4\,d^2\,x^5\,\left(m^5+16\,m^4+95\,m^3+260\,m^2+324\,m+144\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^4\,b\,d^2\,x^2\,\left(m^5+19\,m^4+137\,m^3+461\,m^2+702\,m+360\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{2\,a^2\,b^3\,d^2\,x^4\,\left(m^5+17\,m^4+107\,m^3+307\,m^2+396\,m+180\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{2\,a^3\,b^2\,d^2\,x^3\,\left(m^5+18\,m^4+121\,m^3+372\,m^2+508\,m+240\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}\right)","Not used",1,"(e*x)^m*((b^5*d^2*x^6*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^5*d^2*x*(1044*m + 580*m^2 + 155*m^3 + 20*m^4 + m^5 + 720))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a*b^4*d^2*x^5*(324*m + 260*m^2 + 95*m^3 + 16*m^4 + m^5 + 144))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^4*b*d^2*x^2*(702*m + 461*m^2 + 137*m^3 + 19*m^4 + m^5 + 360))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (2*a^2*b^3*d^2*x^4*(396*m + 307*m^2 + 107*m^3 + 17*m^4 + m^5 + 180))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (2*a^3*b^2*d^2*x^3*(508*m + 372*m^2 + 121*m^3 + 18*m^4 + m^5 + 240))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
64,1,174,85,0.423644,"\text{Not used}","int((a*d - b*d*x)*(e*x)^m*(a + b*x)^2,x)","-{\left(e\,x\right)}^m\,\left(\frac{b^3\,d\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a^3\,d\,x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{a\,b^2\,d\,x^3\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a^2\,b\,d\,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,"-(e*x)^m*((b^3*d*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^3*d*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (a*b^2*d*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^2*b*d*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
65,0,-1,98,0.000000,"\text{Not used}","int((e*x)^m/((a*d - b*d*x)^2*(a + b*x)),x)","\int \frac{{\left(e\,x\right)}^m}{{\left(a\,d-b\,d\,x\right)}^2\,\left(a+b\,x\right)} \,d x","Not used",1,"int((e*x)^m/((a*d - b*d*x)^2*(a + b*x)), x)","F"
66,0,-1,98,0.000000,"\text{Not used}","int((e*x)^m/((a*d - b*d*x)^3*(a + b*x)^2),x)","\int \frac{{\left(e\,x\right)}^m}{{\left(a\,d-b\,d\,x\right)}^3\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((e*x)^m/((a*d - b*d*x)^3*(a + b*x)^2), x)","F"
67,0,-1,98,0.000000,"\text{Not used}","int((e*x)^m/((a*d - b*d*x)^4*(a + b*x)^3),x)","\int \frac{{\left(e\,x\right)}^m}{{\left(a\,d-b\,d\,x\right)}^4\,{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((e*x)^m/((a*d - b*d*x)^4*(a + b*x)^3), x)","F"
68,1,395,145,0.616070,"\text{Not used}","int((a*c - b*c*x)^4*(e*x)^m*(a + b*x),x)","{\left(e\,x\right)}^m\,\left(\frac{b^5\,c^4\,x^6\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^5\,c^4\,x\,\left(m^5+20\,m^4+155\,m^3+580\,m^2+1044\,m+720\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{3\,a\,b^4\,c^4\,x^5\,\left(m^5+16\,m^4+95\,m^3+260\,m^2+324\,m+144\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{3\,a^4\,b\,c^4\,x^2\,\left(m^5+19\,m^4+137\,m^3+461\,m^2+702\,m+360\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{2\,a^2\,b^3\,c^4\,x^4\,\left(m^5+17\,m^4+107\,m^3+307\,m^2+396\,m+180\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{2\,a^3\,b^2\,c^4\,x^3\,\left(m^5+18\,m^4+121\,m^3+372\,m^2+508\,m+240\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}\right)","Not used",1,"(e*x)^m*((b^5*c^4*x^6*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^5*c^4*x*(1044*m + 580*m^2 + 155*m^3 + 20*m^4 + m^5 + 720))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (3*a*b^4*c^4*x^5*(324*m + 260*m^2 + 95*m^3 + 16*m^4 + m^5 + 144))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (3*a^4*b*c^4*x^2*(702*m + 461*m^2 + 137*m^3 + 19*m^4 + m^5 + 360))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (2*a^2*b^3*c^4*x^4*(396*m + 307*m^2 + 107*m^3 + 17*m^4 + m^5 + 180))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (2*a^3*b^2*c^4*x^3*(508*m + 372*m^2 + 121*m^3 + 18*m^4 + m^5 + 240))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
69,1,182,94,0.461332,"\text{Not used}","int((a*c - b*c*x)^3*(e*x)^m*(a + b*x),x)","{\left(e\,x\right)}^m\,\left(\frac{a^4\,c^3\,x\,\left(m^3+11\,m^2+38\,m+40\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}-\frac{b^4\,c^3\,x^5\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}+\frac{2\,a\,b^3\,c^3\,x^4\,\left(m^3+8\,m^2+17\,m+10\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}-\frac{2\,a^3\,b\,c^3\,x^2\,\left(m^3+10\,m^2+29\,m+20\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}\right)","Not used",1,"(e*x)^m*((a^4*c^3*x*(38*m + 11*m^2 + m^3 + 40))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40) - (b^4*c^3*x^5*(14*m + 7*m^2 + m^3 + 8))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40) + (2*a*b^3*c^3*x^4*(17*m + 8*m^2 + m^3 + 10))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40) - (2*a^3*b*c^3*x^2*(29*m + 10*m^2 + m^3 + 20))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40))","B"
70,1,181,93,0.432057,"\text{Not used}","int((a*c - b*c*x)^2*(e*x)^m*(a + b*x),x)","{\left(e\,x\right)}^m\,\left(\frac{a^3\,c^2\,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\,c^2\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a\,b^2\,c^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{a^2\,b\,c^2\,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,"(e*x)^m*((a^3*c^2*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (b^3*c^2*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a*b^2*c^2*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^2*b*c^2*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
71,1,46,42,0.369161,"\text{Not used}","int((a*c - b*c*x)*(e*x)^m*(a + b*x),x)","\frac{c\,x\,{\left(e\,x\right)}^m\,\left(a^2\,m+3\,a^2-b^2\,x^2-b^2\,m\,x^2\right)}{m^2+4\,m+3}","Not used",1,"(c*x*(e*x)^m*(a^2*m + 3*a^2 - b^2*x^2 - b^2*m*x^2))/(4*m + m^2 + 3)","B"
72,0,-1,55,0.000000,"\text{Not used}","int(((e*x)^m*(a + b*x))/(a*c - b*c*x),x)","\int \frac{{\left(e\,x\right)}^m\,\left(a+b\,x\right)}{a\,c-b\,c\,x} \,d x","Not used",1,"int(((e*x)^m*(a + b*x))/(a*c - b*c*x), x)","F"
73,0,-1,66,0.000000,"\text{Not used}","int(((e*x)^m*(a + b*x))/(a*c - b*c*x)^2,x)","\int \frac{{\left(e\,x\right)}^m\,\left(a+b\,x\right)}{{\left(a\,c-b\,c\,x\right)}^2} \,d x","Not used",1,"int(((e*x)^m*(a + b*x))/(a*c - b*c*x)^2, x)","F"
74,0,-1,107,0.000000,"\text{Not used}","int(((a*c - b*c*x)^3*(e*x)^m)/(a + b*x),x)","\int \frac{{\left(a\,c-b\,c\,x\right)}^3\,{\left(e\,x\right)}^m}{a+b\,x} \,d x","Not used",1,"int(((a*c - b*c*x)^3*(e*x)^m)/(a + b*x), x)","F"
75,0,-1,78,0.000000,"\text{Not used}","int(((a*c - b*c*x)^2*(e*x)^m)/(a + b*x),x)","\int \frac{{\left(a\,c-b\,c\,x\right)}^2\,{\left(e\,x\right)}^m}{a+b\,x} \,d x","Not used",1,"int(((a*c - b*c*x)^2*(e*x)^m)/(a + b*x), x)","F"
76,0,-1,52,0.000000,"\text{Not used}","int(((a*c - b*c*x)*(e*x)^m)/(a + b*x),x)","\int \frac{\left(a\,c-b\,c\,x\right)\,{\left(e\,x\right)}^m}{a+b\,x} \,d x","Not used",1,"int(((a*c - b*c*x)*(e*x)^m)/(a + b*x), x)","F"
77,0,-1,48,0.000000,"\text{Not used}","int((e*x)^m/((a*c - b*c*x)*(a + b*x)),x)","\int \frac{{\left(e\,x\right)}^m}{\left(a\,c-b\,c\,x\right)\,\left(a+b\,x\right)} \,d x","Not used",1,"int((e*x)^m/((a*c - b*c*x)*(a + b*x)), x)","F"
78,0,-1,98,0.000000,"\text{Not used}","int((e*x)^m/((a*c - b*c*x)^2*(a + b*x)),x)","\int \frac{{\left(e\,x\right)}^m}{{\left(a\,c-b\,c\,x\right)}^2\,\left(a+b\,x\right)} \,d x","Not used",1,"int((e*x)^m/((a*c - b*c*x)^2*(a + b*x)), x)","F"
79,0,-1,151,0.000000,"\text{Not used}","int((e*x)^m/((a*c - b*c*x)^3*(a + b*x)),x)","\int \frac{{\left(e\,x\right)}^m}{{\left(a\,c-b\,c\,x\right)}^3\,\left(a+b\,x\right)} \,d x","Not used",1,"int((e*x)^m/((a*c - b*c*x)^3*(a + b*x)), x)","F"
80,1,28,33,0.045407,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x),x)","\frac{B\,b\,x^7}{7}+\left(\frac{A\,b}{6}+\frac{B\,a}{6}\right)\,x^6+\frac{A\,a\,x^5}{5}","Not used",1,"x^6*((A*b)/6 + (B*a)/6) + (A*a*x^5)/5 + (B*b*x^7)/7","B"
81,1,28,33,0.301111,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x),x)","\frac{B\,b\,x^6}{6}+\left(\frac{A\,b}{5}+\frac{B\,a}{5}\right)\,x^5+\frac{A\,a\,x^4}{4}","Not used",1,"x^5*((A*b)/5 + (B*a)/5) + (A*a*x^4)/4 + (B*b*x^6)/6","B"
82,1,28,33,0.042829,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x),x)","\frac{B\,b\,x^5}{5}+\left(\frac{A\,b}{4}+\frac{B\,a}{4}\right)\,x^4+\frac{A\,a\,x^3}{3}","Not used",1,"x^4*((A*b)/4 + (B*a)/4) + (A*a*x^3)/3 + (B*b*x^5)/5","B"
83,1,28,33,0.043940,"\text{Not used}","int(x*(A + B*x)*(a + b*x),x)","\frac{B\,b\,x^4}{4}+\left(\frac{A\,b}{3}+\frac{B\,a}{3}\right)\,x^3+\frac{A\,a\,x^2}{2}","Not used",1,"x^3*((A*b)/3 + (B*a)/3) + (A*a*x^2)/2 + (B*b*x^4)/4","B"
84,1,25,28,0.039641,"\text{Not used}","int((A + B*x)*(a + b*x),x)","\frac{B\,b\,x^3}{3}+\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)\,x^2+A\,a\,x","Not used",1,"x^2*((A*b)/2 + (B*a)/2) + A*a*x + (B*b*x^3)/3","B"
85,1,22,24,0.294280,"\text{Not used}","int(((A + B*x)*(a + b*x))/x,x)","x\,\left(A\,b+B\,a\right)+\frac{B\,b\,x^2}{2}+A\,a\,\ln\left(x\right)","Not used",1,"x*(A*b + B*a) + (B*b*x^2)/2 + A*a*log(x)","B"
86,1,22,22,0.303193,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^2,x)","\ln\left(x\right)\,\left(A\,b+B\,a\right)+B\,b\,x-\frac{A\,a}{x}","Not used",1,"log(x)*(A*b + B*a) + B*b*x - (A*a)/x","B"
87,1,25,27,0.037893,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^3,x)","B\,b\,\ln\left(x\right)-\frac{\frac{A\,a}{2}+x\,\left(A\,b+B\,a\right)}{x^2}","Not used",1,"B*b*log(x) - ((A*a)/2 + x*(A*b + B*a))/x^2","B"
88,1,27,31,0.045853,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^4,x)","-\frac{B\,b\,x^2+\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)\,x+\frac{A\,a}{3}}{x^3}","Not used",1,"-((A*a)/3 + x*((A*b)/2 + (B*a)/2) + B*b*x^2)/x^3","B"
89,1,28,33,0.042798,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^5,x)","-\frac{\frac{B\,b\,x^2}{2}+\left(\frac{A\,b}{3}+\frac{B\,a}{3}\right)\,x+\frac{A\,a}{4}}{x^4}","Not used",1,"-((A*a)/4 + x*((A*b)/3 + (B*a)/3) + (B*b*x^2)/2)/x^4","B"
90,1,28,33,0.042932,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^6,x)","-\frac{\frac{B\,b\,x^2}{3}+\left(\frac{A\,b}{4}+\frac{B\,a}{4}\right)\,x+\frac{A\,a}{5}}{x^5}","Not used",1,"-((A*a)/5 + x*((A*b)/4 + (B*a)/4) + (B*b*x^2)/3)/x^5","B"
91,1,51,55,0.062034,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^2,x)","x^6\,\left(\frac{B\,a^2}{6}+\frac{A\,b\,a}{3}\right)+x^7\,\left(\frac{A\,b^2}{7}+\frac{2\,B\,a\,b}{7}\right)+\frac{A\,a^2\,x^5}{5}+\frac{B\,b^2\,x^8}{8}","Not used",1,"x^6*((B*a^2)/6 + (A*a*b)/3) + x^7*((A*b^2)/7 + (2*B*a*b)/7) + (A*a^2*x^5)/5 + (B*b^2*x^8)/8","B"
92,1,51,55,0.054041,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^2,x)","x^5\,\left(\frac{B\,a^2}{5}+\frac{2\,A\,b\,a}{5}\right)+x^6\,\left(\frac{A\,b^2}{6}+\frac{B\,a\,b}{3}\right)+\frac{A\,a^2\,x^4}{4}+\frac{B\,b^2\,x^7}{7}","Not used",1,"x^5*((B*a^2)/5 + (2*A*a*b)/5) + x^6*((A*b^2)/6 + (B*a*b)/3) + (A*a^2*x^4)/4 + (B*b^2*x^7)/7","B"
93,1,51,55,0.057349,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^2,x)","x^4\,\left(\frac{B\,a^2}{4}+\frac{A\,b\,a}{2}\right)+x^5\,\left(\frac{A\,b^2}{5}+\frac{2\,B\,a\,b}{5}\right)+\frac{A\,a^2\,x^3}{3}+\frac{B\,b^2\,x^6}{6}","Not used",1,"x^4*((B*a^2)/4 + (A*a*b)/2) + x^5*((A*b^2)/5 + (2*B*a*b)/5) + (A*a^2*x^3)/3 + (B*b^2*x^6)/6","B"
94,1,51,55,0.051904,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^2,x)","x^3\,\left(\frac{B\,a^2}{3}+\frac{2\,A\,b\,a}{3}\right)+x^4\,\left(\frac{A\,b^2}{4}+\frac{B\,a\,b}{2}\right)+\frac{A\,a^2\,x^2}{2}+\frac{B\,b^2\,x^5}{5}","Not used",1,"x^3*((B*a^2)/3 + (2*A*a*b)/3) + x^4*((A*b^2)/4 + (B*a*b)/2) + (A*a^2*x^2)/2 + (B*b^2*x^5)/5","B"
95,1,47,38,0.051231,"\text{Not used}","int((A + B*x)*(a + b*x)^2,x)","x^2\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)+x^3\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}\right)+\frac{B\,b^2\,x^4}{4}+A\,a^2\,x","Not used",1,"x^2*((B*a^2)/2 + A*a*b) + x^3*((A*b^2)/3 + (2*B*a*b)/3) + (B*b^2*x^4)/4 + A*a^2*x","B"
96,1,45,40,0.044902,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x,x)","x^2\,\left(\frac{A\,b^2}{2}+B\,a\,b\right)+x\,\left(B\,a^2+2\,A\,b\,a\right)+\frac{B\,b^2\,x^3}{3}+A\,a^2\,\ln\left(x\right)","Not used",1,"x^2*((A*b^2)/2 + B*a*b) + x*(B*a^2 + 2*A*a*b) + (B*b^2*x^3)/3 + A*a^2*log(x)","B"
97,1,46,44,0.050854,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^2,x)","\ln\left(x\right)\,\left(B\,a^2+2\,A\,b\,a\right)+x\,\left(A\,b^2+2\,B\,a\,b\right)-\frac{A\,a^2}{x}+\frac{B\,b^2\,x^2}{2}","Not used",1,"log(x)*(B*a^2 + 2*A*a*b) + x*(A*b^2 + 2*B*a*b) - (A*a^2)/x + (B*b^2*x^2)/2","B"
98,1,46,44,0.062551,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^3,x)","\ln\left(x\right)\,\left(A\,b^2+2\,B\,a\,b\right)-\frac{\frac{A\,a^2}{2}+x\,\left(B\,a^2+2\,A\,b\,a\right)}{x^2}+B\,b^2\,x","Not used",1,"log(x)*(A*b^2 + 2*B*a*b) - ((A*a^2)/2 + x*(B*a^2 + 2*A*a*b))/x^2 + B*b^2*x","B"
99,1,48,49,0.321455,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^4,x)","B\,b^2\,\ln\left(x\right)-\frac{x^2\,\left(A\,b^2+2\,B\,a\,b\right)+\frac{A\,a^2}{3}+x\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)}{x^3}","Not used",1,"B*b^2*log(x) - (x^2*(A*b^2 + 2*B*a*b) + (A*a^2)/3 + x*((B*a^2)/2 + A*a*b))/x^3","B"
100,1,49,44,0.040286,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^5,x)","-\frac{x^2\,\left(\frac{A\,b^2}{2}+B\,a\,b\right)+\frac{A\,a^2}{4}+x\,\left(\frac{B\,a^2}{3}+\frac{2\,A\,b\,a}{3}\right)+B\,b^2\,x^3}{x^4}","Not used",1,"-(x^2*((A*b^2)/2 + B*a*b) + (A*a^2)/4 + x*((B*a^2)/3 + (2*A*a*b)/3) + B*b^2*x^3)/x^4","B"
101,1,51,55,0.038953,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^6,x)","-\frac{x^2\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}\right)+\frac{A\,a^2}{5}+x\,\left(\frac{B\,a^2}{4}+\frac{A\,b\,a}{2}\right)+\frac{B\,b^2\,x^3}{2}}{x^5}","Not used",1,"-(x^2*((A*b^2)/3 + (2*B*a*b)/3) + (A*a^2)/5 + x*((B*a^2)/4 + (A*a*b)/2) + (B*b^2*x^3)/2)/x^5","B"
102,1,51,55,0.041824,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^7,x)","-\frac{x^2\,\left(\frac{A\,b^2}{4}+\frac{B\,a\,b}{2}\right)+\frac{A\,a^2}{6}+x\,\left(\frac{B\,a^2}{5}+\frac{2\,A\,b\,a}{5}\right)+\frac{B\,b^2\,x^3}{3}}{x^6}","Not used",1,"-(x^2*((A*b^2)/4 + (B*a*b)/2) + (A*a^2)/6 + x*((B*a^2)/5 + (2*A*a*b)/5) + (B*b^2*x^3)/3)/x^6","B"
103,1,51,55,0.037896,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^8,x)","-\frac{x^2\,\left(\frac{A\,b^2}{5}+\frac{2\,B\,a\,b}{5}\right)+\frac{A\,a^2}{7}+x\,\left(\frac{B\,a^2}{6}+\frac{A\,b\,a}{3}\right)+\frac{B\,b^2\,x^3}{4}}{x^7}","Not used",1,"-(x^2*((A*b^2)/5 + (2*B*a*b)/5) + (A*a^2)/7 + x*((B*a^2)/6 + (A*a*b)/3) + (B*b^2*x^3)/4)/x^7","B"
104,1,69,75,0.037439,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^3,x)","x^6\,\left(\frac{B\,a^3}{6}+\frac{A\,b\,a^2}{2}\right)+x^8\,\left(\frac{A\,b^3}{8}+\frac{3\,B\,a\,b^2}{8}\right)+\frac{A\,a^3\,x^5}{5}+\frac{B\,b^3\,x^9}{9}+\frac{3\,a\,b\,x^7\,\left(A\,b+B\,a\right)}{7}","Not used",1,"x^6*((B*a^3)/6 + (A*a^2*b)/2) + x^8*((A*b^3)/8 + (3*B*a*b^2)/8) + (A*a^3*x^5)/5 + (B*b^3*x^9)/9 + (3*a*b*x^7*(A*b + B*a))/7","B"
105,1,69,75,0.037691,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^3,x)","x^5\,\left(\frac{B\,a^3}{5}+\frac{3\,A\,b\,a^2}{5}\right)+x^7\,\left(\frac{A\,b^3}{7}+\frac{3\,B\,a\,b^2}{7}\right)+\frac{A\,a^3\,x^4}{4}+\frac{B\,b^3\,x^8}{8}+\frac{a\,b\,x^6\,\left(A\,b+B\,a\right)}{2}","Not used",1,"x^5*((B*a^3)/5 + (3*A*a^2*b)/5) + x^7*((A*b^3)/7 + (3*B*a*b^2)/7) + (A*a^3*x^4)/4 + (B*b^3*x^8)/8 + (a*b*x^6*(A*b + B*a))/2","B"
106,1,69,75,0.031935,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^3,x)","x^4\,\left(\frac{B\,a^3}{4}+\frac{3\,A\,b\,a^2}{4}\right)+x^6\,\left(\frac{A\,b^3}{6}+\frac{B\,a\,b^2}{2}\right)+\frac{A\,a^3\,x^3}{3}+\frac{B\,b^3\,x^7}{7}+\frac{3\,a\,b\,x^5\,\left(A\,b+B\,a\right)}{5}","Not used",1,"x^4*((B*a^3)/4 + (3*A*a^2*b)/4) + x^6*((A*b^3)/6 + (B*a*b^2)/2) + (A*a^3*x^3)/3 + (B*b^3*x^7)/7 + (3*a*b*x^5*(A*b + B*a))/5","B"
107,1,68,61,0.032407,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^3,x)","x^3\,\left(\frac{B\,a^3}{3}+A\,b\,a^2\right)+x^5\,\left(\frac{A\,b^3}{5}+\frac{3\,B\,a\,b^2}{5}\right)+\frac{A\,a^3\,x^2}{2}+\frac{B\,b^3\,x^6}{6}+\frac{3\,a\,b\,x^4\,\left(A\,b+B\,a\right)}{4}","Not used",1,"x^3*((B*a^3)/3 + A*a^2*b) + x^5*((A*b^3)/5 + (3*B*a*b^2)/5) + (A*a^3*x^2)/2 + (B*b^3*x^6)/6 + (3*a*b*x^4*(A*b + B*a))/4","B"
108,1,65,38,0.033909,"\text{Not used}","int((A + B*x)*(a + b*x)^3,x)","x^2\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+x^4\,\left(\frac{A\,b^3}{4}+\frac{3\,B\,a\,b^2}{4}\right)+\frac{B\,b^3\,x^5}{5}+A\,a^3\,x+a\,b\,x^3\,\left(A\,b+B\,a\right)","Not used",1,"x^2*((B*a^3)/2 + (3*A*a^2*b)/2) + x^4*((A*b^3)/4 + (3*B*a*b^2)/4) + (B*b^3*x^5)/5 + A*a^3*x + a*b*x^3*(A*b + B*a)","B"
109,1,63,54,0.039101,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x,x)","x\,\left(B\,a^3+3\,A\,b\,a^2\right)+x^3\,\left(\frac{A\,b^3}{3}+B\,a\,b^2\right)+\frac{B\,b^3\,x^4}{4}+A\,a^3\,\ln\left(x\right)+\frac{3\,a\,b\,x^2\,\left(A\,b+B\,a\right)}{2}","Not used",1,"x*(B*a^3 + 3*A*a^2*b) + x^3*((A*b^3)/3 + B*a*b^2) + (B*b^3*x^4)/4 + A*a^3*log(x) + (3*a*b*x^2*(A*b + B*a))/2","B"
110,1,65,65,0.046767,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^2,x)","x^2\,\left(\frac{A\,b^3}{2}+\frac{3\,B\,a\,b^2}{2}\right)+\ln\left(x\right)\,\left(B\,a^3+3\,A\,b\,a^2\right)-\frac{A\,a^3}{x}+\frac{B\,b^3\,x^3}{3}+3\,a\,b\,x\,\left(A\,b+B\,a\right)","Not used",1,"x^2*((A*b^3)/2 + (3*B*a*b^2)/2) + log(x)*(B*a^3 + 3*A*a^2*b) - (A*a^3)/x + (B*b^3*x^3)/3 + 3*a*b*x*(A*b + B*a)","B"
111,1,70,65,0.054262,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^3,x)","\ln\left(x\right)\,\left(3\,B\,a^2\,b+3\,A\,a\,b^2\right)-\frac{x\,\left(B\,a^3+3\,A\,b\,a^2\right)+\frac{A\,a^3}{2}}{x^2}+x\,\left(A\,b^3+3\,B\,a\,b^2\right)+\frac{B\,b^3\,x^2}{2}","Not used",1,"log(x)*(3*A*a*b^2 + 3*B*a^2*b) - (x*(B*a^3 + 3*A*a^2*b) + (A*a^3)/2)/x^2 + x*(A*b^3 + 3*B*a*b^2) + (B*b^3*x^2)/2","B"
112,1,70,64,0.332413,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^4,x)","\ln\left(x\right)\,\left(A\,b^3+3\,B\,a\,b^2\right)-\frac{x^2\,\left(3\,B\,a^2\,b+3\,A\,a\,b^2\right)+x\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+\frac{A\,a^3}{3}}{x^3}+B\,b^3\,x","Not used",1,"log(x)*(A*b^3 + 3*B*a*b^2) - (x^2*(3*A*a*b^2 + 3*B*a^2*b) + x*((B*a^3)/2 + (3*A*a^2*b)/2) + (A*a^3)/3)/x^3 + B*b^3*x","B"
113,1,71,59,0.347728,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^5,x)","B\,b^3\,\ln\left(x\right)-\frac{x^2\,\left(\frac{3\,B\,a^2\,b}{2}+\frac{3\,A\,a\,b^2}{2}\right)+x\,\left(\frac{B\,a^3}{3}+A\,b\,a^2\right)+\frac{A\,a^3}{4}+x^3\,\left(A\,b^3+3\,B\,a\,b^2\right)}{x^4}","Not used",1,"B*b^3*log(x) - (x^2*((3*A*a*b^2)/2 + (3*B*a^2*b)/2) + x*((B*a^3)/3 + A*a^2*b) + (A*a^3)/4 + x^3*(A*b^3 + 3*B*a*b^2))/x^4","B"
114,1,71,44,0.308952,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^6,x)","-\frac{x^2\,\left(B\,a^2\,b+A\,a\,b^2\right)+x\,\left(\frac{B\,a^3}{4}+\frac{3\,A\,b\,a^2}{4}\right)+\frac{A\,a^3}{5}+x^3\,\left(\frac{A\,b^3}{2}+\frac{3\,B\,a\,b^2}{2}\right)+B\,b^3\,x^4}{x^5}","Not used",1,"-(x^2*(A*a*b^2 + B*a^2*b) + x*((B*a^3)/4 + (3*A*a^2*b)/4) + (A*a^3)/5 + x^3*((A*b^3)/2 + (3*B*a*b^2)/2) + B*b^3*x^4)/x^5","B"
115,1,73,75,0.048039,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^7,x)","-\frac{x^2\,\left(\frac{3\,B\,a^2\,b}{4}+\frac{3\,A\,a\,b^2}{4}\right)+x\,\left(\frac{B\,a^3}{5}+\frac{3\,A\,b\,a^2}{5}\right)+\frac{A\,a^3}{6}+x^3\,\left(\frac{A\,b^3}{3}+B\,a\,b^2\right)+\frac{B\,b^3\,x^4}{2}}{x^6}","Not used",1,"-(x^2*((3*A*a*b^2)/4 + (3*B*a^2*b)/4) + x*((B*a^3)/5 + (3*A*a^2*b)/5) + (A*a^3)/6 + x^3*((A*b^3)/3 + B*a*b^2) + (B*b^3*x^4)/2)/x^6","B"
116,1,74,75,0.049499,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^8,x)","-\frac{x^2\,\left(\frac{3\,B\,a^2\,b}{5}+\frac{3\,A\,a\,b^2}{5}\right)+x\,\left(\frac{B\,a^3}{6}+\frac{A\,b\,a^2}{2}\right)+\frac{A\,a^3}{7}+x^3\,\left(\frac{A\,b^3}{4}+\frac{3\,B\,a\,b^2}{4}\right)+\frac{B\,b^3\,x^4}{3}}{x^7}","Not used",1,"-(x^2*((3*A*a*b^2)/5 + (3*B*a^2*b)/5) + x*((B*a^3)/6 + (A*a^2*b)/2) + (A*a^3)/7 + x^3*((A*b^3)/4 + (3*B*a*b^2)/4) + (B*b^3*x^4)/3)/x^7","B"
117,1,74,75,0.048262,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^9,x)","-\frac{x^2\,\left(\frac{B\,a^2\,b}{2}+\frac{A\,a\,b^2}{2}\right)+x\,\left(\frac{B\,a^3}{7}+\frac{3\,A\,b\,a^2}{7}\right)+\frac{A\,a^3}{8}+x^3\,\left(\frac{A\,b^3}{5}+\frac{3\,B\,a\,b^2}{5}\right)+\frac{B\,b^3\,x^4}{4}}{x^8}","Not used",1,"-(x^2*((A*a*b^2)/2 + (B*a^2*b)/2) + x*((B*a^3)/7 + (3*A*a^2*b)/7) + (A*a^3)/8 + x^3*((A*b^3)/5 + (3*B*a*b^2)/5) + (B*b^3*x^4)/4)/x^8","B"
118,1,74,75,0.049355,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^10,x)","-\frac{x^2\,\left(\frac{3\,B\,a^2\,b}{7}+\frac{3\,A\,a\,b^2}{7}\right)+x\,\left(\frac{B\,a^3}{8}+\frac{3\,A\,b\,a^2}{8}\right)+\frac{A\,a^3}{9}+x^3\,\left(\frac{A\,b^3}{6}+\frac{B\,a\,b^2}{2}\right)+\frac{B\,b^3\,x^4}{5}}{x^9}","Not used",1,"-(x^2*((3*A*a*b^2)/7 + (3*B*a^2*b)/7) + x*((B*a^3)/8 + (3*A*a^2*b)/8) + (A*a^3)/9 + x^3*((A*b^3)/6 + (B*a*b^2)/2) + (B*b^3*x^4)/5)/x^9","B"
119,1,107,117,0.320391,"\text{Not used}","int(x^5*(A + B*x)*(a + b*x)^5,x)","x^7\,\left(\frac{B\,a^5}{7}+\frac{5\,A\,b\,a^4}{7}\right)+x^{11}\,\left(\frac{A\,b^5}{11}+\frac{5\,B\,a\,b^4}{11}\right)+\frac{A\,a^5\,x^6}{6}+\frac{B\,b^5\,x^{12}}{12}+\frac{10\,a^2\,b^2\,x^9\,\left(A\,b+B\,a\right)}{9}+\frac{5\,a^3\,b\,x^8\,\left(2\,A\,b+B\,a\right)}{8}+\frac{a\,b^3\,x^{10}\,\left(A\,b+2\,B\,a\right)}{2}","Not used",1,"x^7*((B*a^5)/7 + (5*A*a^4*b)/7) + x^11*((A*b^5)/11 + (5*B*a*b^4)/11) + (A*a^5*x^6)/6 + (B*b^5*x^12)/12 + (10*a^2*b^2*x^9*(A*b + B*a))/9 + (5*a^3*b*x^8*(2*A*b + B*a))/8 + (a*b^3*x^10*(A*b + 2*B*a))/2","B"
120,1,107,117,0.045788,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^5,x)","x^6\,\left(\frac{B\,a^5}{6}+\frac{5\,A\,b\,a^4}{6}\right)+x^{10}\,\left(\frac{A\,b^5}{10}+\frac{B\,a\,b^4}{2}\right)+\frac{A\,a^5\,x^5}{5}+\frac{B\,b^5\,x^{11}}{11}+\frac{5\,a^2\,b^2\,x^8\,\left(A\,b+B\,a\right)}{4}+\frac{5\,a^3\,b\,x^7\,\left(2\,A\,b+B\,a\right)}{7}+\frac{5\,a\,b^3\,x^9\,\left(A\,b+2\,B\,a\right)}{9}","Not used",1,"x^6*((B*a^5)/6 + (5*A*a^4*b)/6) + x^10*((A*b^5)/10 + (B*a*b^4)/2) + (A*a^5*x^5)/5 + (B*b^5*x^11)/11 + (5*a^2*b^2*x^8*(A*b + B*a))/4 + (5*a^3*b*x^7*(2*A*b + B*a))/7 + (5*a*b^3*x^9*(A*b + 2*B*a))/9","B"
121,1,106,112,0.046447,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^5,x)","x^5\,\left(\frac{B\,a^5}{5}+A\,b\,a^4\right)+x^9\,\left(\frac{A\,b^5}{9}+\frac{5\,B\,a\,b^4}{9}\right)+\frac{A\,a^5\,x^4}{4}+\frac{B\,b^5\,x^{10}}{10}+\frac{10\,a^2\,b^2\,x^7\,\left(A\,b+B\,a\right)}{7}+\frac{5\,a^3\,b\,x^6\,\left(2\,A\,b+B\,a\right)}{6}+\frac{5\,a\,b^3\,x^8\,\left(A\,b+2\,B\,a\right)}{8}","Not used",1,"x^5*((B*a^5)/5 + A*a^4*b) + x^9*((A*b^5)/9 + (5*B*a*b^4)/9) + (A*a^5*x^4)/4 + (B*b^5*x^10)/10 + (10*a^2*b^2*x^7*(A*b + B*a))/7 + (5*a^3*b*x^6*(2*A*b + B*a))/6 + (5*a*b^3*x^8*(A*b + 2*B*a))/8","B"
122,1,106,87,0.048147,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^5,x)","x^4\,\left(\frac{B\,a^5}{4}+\frac{5\,A\,b\,a^4}{4}\right)+x^8\,\left(\frac{A\,b^5}{8}+\frac{5\,B\,a\,b^4}{8}\right)+\frac{A\,a^5\,x^3}{3}+\frac{B\,b^5\,x^9}{9}+\frac{5\,a^2\,b^2\,x^6\,\left(A\,b+B\,a\right)}{3}+a^3\,b\,x^5\,\left(2\,A\,b+B\,a\right)+\frac{5\,a\,b^3\,x^7\,\left(A\,b+2\,B\,a\right)}{7}","Not used",1,"x^4*((B*a^5)/4 + (5*A*a^4*b)/4) + x^8*((A*b^5)/8 + (5*B*a*b^4)/8) + (A*a^5*x^3)/3 + (B*b^5*x^9)/9 + (5*a^2*b^2*x^6*(A*b + B*a))/3 + a^3*b*x^5*(2*A*b + B*a) + (5*a*b^3*x^7*(A*b + 2*B*a))/7","B"
123,1,107,61,0.043023,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^5,x)","x^3\,\left(\frac{B\,a^5}{3}+\frac{5\,A\,b\,a^4}{3}\right)+x^7\,\left(\frac{A\,b^5}{7}+\frac{5\,B\,a\,b^4}{7}\right)+\frac{A\,a^5\,x^2}{2}+\frac{B\,b^5\,x^8}{8}+2\,a^2\,b^2\,x^5\,\left(A\,b+B\,a\right)+\frac{5\,a^3\,b\,x^4\,\left(2\,A\,b+B\,a\right)}{4}+\frac{5\,a\,b^3\,x^6\,\left(A\,b+2\,B\,a\right)}{6}","Not used",1,"x^3*((B*a^5)/3 + (5*A*a^4*b)/3) + x^7*((A*b^5)/7 + (5*B*a*b^4)/7) + (A*a^5*x^2)/2 + (B*b^5*x^8)/8 + 2*a^2*b^2*x^5*(A*b + B*a) + (5*a^3*b*x^4*(2*A*b + B*a))/4 + (5*a*b^3*x^6*(A*b + 2*B*a))/6","B"
124,1,103,38,0.062613,"\text{Not used}","int((A + B*x)*(a + b*x)^5,x)","x^2\,\left(\frac{B\,a^5}{2}+\frac{5\,A\,b\,a^4}{2}\right)+x^6\,\left(\frac{A\,b^5}{6}+\frac{5\,B\,a\,b^4}{6}\right)+\frac{B\,b^5\,x^7}{7}+A\,a^5\,x+\frac{5\,a^2\,b^2\,x^4\,\left(A\,b+B\,a\right)}{2}+\frac{5\,a^3\,b\,x^3\,\left(2\,A\,b+B\,a\right)}{3}+a\,b^3\,x^5\,\left(A\,b+2\,B\,a\right)","Not used",1,"x^2*((B*a^5)/2 + (5*A*a^4*b)/2) + x^6*((A*b^5)/6 + (5*B*a*b^4)/6) + (B*b^5*x^7)/7 + A*a^5*x + (5*a^2*b^2*x^4*(A*b + B*a))/2 + (5*a^3*b*x^3*(2*A*b + B*a))/3 + a*b^3*x^5*(A*b + 2*B*a)","B"
125,1,101,80,0.051967,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x,x)","x\,\left(B\,a^5+5\,A\,b\,a^4\right)+x^5\,\left(\frac{A\,b^5}{5}+B\,a\,b^4\right)+\frac{B\,b^5\,x^6}{6}+A\,a^5\,\ln\left(x\right)+\frac{10\,a^2\,b^2\,x^3\,\left(A\,b+B\,a\right)}{3}+\frac{5\,a^3\,b\,x^2\,\left(2\,A\,b+B\,a\right)}{2}+\frac{5\,a\,b^3\,x^4\,\left(A\,b+2\,B\,a\right)}{4}","Not used",1,"x*(B*a^5 + 5*A*a^4*b) + x^5*((A*b^5)/5 + B*a*b^4) + (B*b^5*x^6)/6 + A*a^5*log(x) + (10*a^2*b^2*x^3*(A*b + B*a))/3 + (5*a^3*b*x^2*(2*A*b + B*a))/2 + (5*a*b^3*x^4*(A*b + 2*B*a))/4","B"
126,1,103,105,0.323364,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^2,x)","x^4\,\left(\frac{A\,b^5}{4}+\frac{5\,B\,a\,b^4}{4}\right)+\ln\left(x\right)\,\left(B\,a^5+5\,A\,b\,a^4\right)-\frac{A\,a^5}{x}+\frac{B\,b^5\,x^5}{5}+5\,a^2\,b^2\,x^2\,\left(A\,b+B\,a\right)+5\,a^3\,b\,x\,\left(2\,A\,b+B\,a\right)+\frac{5\,a\,b^3\,x^3\,\left(A\,b+2\,B\,a\right)}{3}","Not used",1,"x^4*((A*b^5)/4 + (5*B*a*b^4)/4) + log(x)*(B*a^5 + 5*A*a^4*b) - (A*a^5)/x + (B*b^5*x^5)/5 + 5*a^2*b^2*x^2*(A*b + B*a) + 5*a^3*b*x*(2*A*b + B*a) + (5*a*b^3*x^3*(A*b + 2*B*a))/3","B"
127,1,108,108,0.313979,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^3,x)","\ln\left(x\right)\,\left(5\,B\,a^4\,b+10\,A\,a^3\,b^2\right)-\frac{x\,\left(B\,a^5+5\,A\,b\,a^4\right)+\frac{A\,a^5}{2}}{x^2}+x^3\,\left(\frac{A\,b^5}{3}+\frac{5\,B\,a\,b^4}{3}\right)+\frac{B\,b^5\,x^4}{4}+10\,a^2\,b^2\,x\,\left(A\,b+B\,a\right)+\frac{5\,a\,b^3\,x^2\,\left(A\,b+2\,B\,a\right)}{2}","Not used",1,"log(x)*(10*A*a^3*b^2 + 5*B*a^4*b) - (x*(B*a^5 + 5*A*a^4*b) + (A*a^5)/2)/x^2 + x^3*((A*b^5)/3 + (5*B*a*b^4)/3) + (B*b^5*x^4)/4 + 10*a^2*b^2*x*(A*b + B*a) + (5*a*b^3*x^2*(A*b + 2*B*a))/2","B"
128,1,114,108,0.059699,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^4,x)","x^2\,\left(\frac{A\,b^5}{2}+\frac{5\,B\,a\,b^4}{2}\right)-\frac{x\,\left(\frac{B\,a^5}{2}+\frac{5\,A\,b\,a^4}{2}\right)+\frac{A\,a^5}{3}+x^2\,\left(5\,B\,a^4\,b+10\,A\,a^3\,b^2\right)}{x^3}+\ln\left(x\right)\,\left(10\,B\,a^3\,b^2+10\,A\,a^2\,b^3\right)+\frac{B\,b^5\,x^3}{3}+5\,a\,b^3\,x\,\left(A\,b+2\,B\,a\right)","Not used",1,"x^2*((A*b^5)/2 + (5*B*a*b^4)/2) - (x*((B*a^5)/2 + (5*A*a^4*b)/2) + (A*a^5)/3 + x^2*(10*A*a^3*b^2 + 5*B*a^4*b))/x^3 + log(x)*(10*A*a^2*b^3 + 10*B*a^3*b^2) + (B*b^5*x^3)/3 + 5*a*b^3*x*(A*b + 2*B*a)","B"
129,1,117,107,0.069110,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^5,x)","x\,\left(A\,b^5+5\,B\,a\,b^4\right)+\ln\left(x\right)\,\left(10\,B\,a^2\,b^3+5\,A\,a\,b^4\right)-\frac{x\,\left(\frac{B\,a^5}{3}+\frac{5\,A\,b\,a^4}{3}\right)+\frac{A\,a^5}{4}+x^2\,\left(\frac{5\,B\,a^4\,b}{2}+5\,A\,a^3\,b^2\right)+x^3\,\left(10\,B\,a^3\,b^2+10\,A\,a^2\,b^3\right)}{x^4}+\frac{B\,b^5\,x^2}{2}","Not used",1,"x*(A*b^5 + 5*B*a*b^4) + log(x)*(10*B*a^2*b^3 + 5*A*a*b^4) - (x*((B*a^5)/3 + (5*A*a^4*b)/3) + (A*a^5)/4 + x^2*(5*A*a^3*b^2 + (5*B*a^4*b)/2) + x^3*(10*A*a^2*b^3 + 10*B*a^3*b^2))/x^4 + (B*b^5*x^2)/2","B"
130,1,116,104,0.346792,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^6,x)","\ln\left(x\right)\,\left(A\,b^5+5\,B\,a\,b^4\right)-\frac{x\,\left(\frac{B\,a^5}{4}+\frac{5\,A\,b\,a^4}{4}\right)+\frac{A\,a^5}{5}+x^4\,\left(10\,B\,a^2\,b^3+5\,A\,a\,b^4\right)+x^2\,\left(\frac{5\,B\,a^4\,b}{3}+\frac{10\,A\,a^3\,b^2}{3}\right)+x^3\,\left(5\,B\,a^3\,b^2+5\,A\,a^2\,b^3\right)}{x^5}+B\,b^5\,x","Not used",1,"log(x)*(A*b^5 + 5*B*a*b^4) - (x*((B*a^5)/4 + (5*A*a^4*b)/4) + (A*a^5)/5 + x^4*(10*B*a^2*b^3 + 5*A*a*b^4) + x^2*((10*A*a^3*b^2)/3 + (5*B*a^4*b)/3) + x^3*(5*A*a^2*b^3 + 5*B*a^3*b^2))/x^5 + B*b^5*x","B"
131,1,117,85,0.356126,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^7,x)","B\,b^5\,\ln\left(x\right)-\frac{x\,\left(\frac{B\,a^5}{5}+A\,b\,a^4\right)+\frac{A\,a^5}{6}+x^4\,\left(5\,B\,a^2\,b^3+\frac{5\,A\,a\,b^4}{2}\right)+x^2\,\left(\frac{5\,B\,a^4\,b}{4}+\frac{5\,A\,a^3\,b^2}{2}\right)+x^5\,\left(A\,b^5+5\,B\,a\,b^4\right)+x^3\,\left(\frac{10\,B\,a^3\,b^2}{3}+\frac{10\,A\,a^2\,b^3}{3}\right)}{x^6}","Not used",1,"B*b^5*log(x) - (x*((B*a^5)/5 + A*a^4*b) + (A*a^5)/6 + x^4*(5*B*a^2*b^3 + (5*A*a*b^4)/2) + x^2*((5*A*a^3*b^2)/2 + (5*B*a^4*b)/4) + x^5*(A*b^5 + 5*B*a*b^4) + x^3*((10*A*a^2*b^3)/3 + (10*B*a^3*b^2)/3))/x^6","B"
132,1,118,44,0.071262,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^8,x)","-\frac{x\,\left(\frac{B\,a^5}{6}+\frac{5\,A\,b\,a^4}{6}\right)+\frac{A\,a^5}{7}+x^2\,\left(B\,a^4\,b+2\,A\,a^3\,b^2\right)+x^4\,\left(\frac{10\,B\,a^2\,b^3}{3}+\frac{5\,A\,a\,b^4}{3}\right)+x^5\,\left(\frac{A\,b^5}{2}+\frac{5\,B\,a\,b^4}{2}\right)+x^3\,\left(\frac{5\,B\,a^3\,b^2}{2}+\frac{5\,A\,a^2\,b^3}{2}\right)+B\,b^5\,x^6}{x^7}","Not used",1,"-(x*((B*a^5)/6 + (5*A*a^4*b)/6) + (A*a^5)/7 + x^2*(2*A*a^3*b^2 + B*a^4*b) + x^4*((10*B*a^2*b^3)/3 + (5*A*a*b^4)/3) + x^5*((A*b^5)/2 + (5*B*a*b^4)/2) + x^3*((5*A*a^2*b^3)/2 + (5*B*a^3*b^2)/2) + B*b^5*x^6)/x^7","B"
133,1,120,70,0.069513,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^9,x)","-\frac{x\,\left(\frac{B\,a^5}{7}+\frac{5\,A\,b\,a^4}{7}\right)+\frac{A\,a^5}{8}+x^4\,\left(\frac{5\,B\,a^2\,b^3}{2}+\frac{5\,A\,a\,b^4}{4}\right)+x^2\,\left(\frac{5\,B\,a^4\,b}{6}+\frac{5\,A\,a^3\,b^2}{3}\right)+x^5\,\left(\frac{A\,b^5}{3}+\frac{5\,B\,a\,b^4}{3}\right)+x^3\,\left(2\,B\,a^3\,b^2+2\,A\,a^2\,b^3\right)+\frac{B\,b^5\,x^6}{2}}{x^8}","Not used",1,"-(x*((B*a^5)/7 + (5*A*a^4*b)/7) + (A*a^5)/8 + x^4*((5*B*a^2*b^3)/2 + (5*A*a*b^4)/4) + x^2*((5*A*a^3*b^2)/3 + (5*B*a^4*b)/6) + x^5*((A*b^5)/3 + (5*B*a*b^4)/3) + x^3*(2*A*a^2*b^3 + 2*B*a^3*b^2) + (B*b^5*x^6)/2)/x^8","B"
134,1,119,115,0.073725,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^10,x)","-\frac{x\,\left(\frac{B\,a^5}{8}+\frac{5\,A\,b\,a^4}{8}\right)+\frac{A\,a^5}{9}+x^4\,\left(2\,B\,a^2\,b^3+A\,a\,b^4\right)+x^2\,\left(\frac{5\,B\,a^4\,b}{7}+\frac{10\,A\,a^3\,b^2}{7}\right)+x^5\,\left(\frac{A\,b^5}{4}+\frac{5\,B\,a\,b^4}{4}\right)+x^3\,\left(\frac{5\,B\,a^3\,b^2}{3}+\frac{5\,A\,a^2\,b^3}{3}\right)+\frac{B\,b^5\,x^6}{3}}{x^9}","Not used",1,"-(x*((B*a^5)/8 + (5*A*a^4*b)/8) + (A*a^5)/9 + x^4*(2*B*a^2*b^3 + A*a*b^4) + x^2*((10*A*a^3*b^2)/7 + (5*B*a^4*b)/7) + x^5*((A*b^5)/4 + (5*B*a*b^4)/4) + x^3*((5*A*a^2*b^3)/3 + (5*B*a^3*b^2)/3) + (B*b^5*x^6)/3)/x^9","B"
135,1,119,117,0.327281,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^11,x)","-\frac{x\,\left(\frac{B\,a^5}{9}+\frac{5\,A\,b\,a^4}{9}\right)+\frac{A\,a^5}{10}+x^4\,\left(\frac{5\,B\,a^2\,b^3}{3}+\frac{5\,A\,a\,b^4}{6}\right)+x^2\,\left(\frac{5\,B\,a^4\,b}{8}+\frac{5\,A\,a^3\,b^2}{4}\right)+x^5\,\left(\frac{A\,b^5}{5}+B\,a\,b^4\right)+x^3\,\left(\frac{10\,B\,a^3\,b^2}{7}+\frac{10\,A\,a^2\,b^3}{7}\right)+\frac{B\,b^5\,x^6}{4}}{x^{10}}","Not used",1,"-(x*((B*a^5)/9 + (5*A*a^4*b)/9) + (A*a^5)/10 + x^4*((5*B*a^2*b^3)/3 + (5*A*a*b^4)/6) + x^2*((5*A*a^3*b^2)/4 + (5*B*a^4*b)/8) + x^5*((A*b^5)/5 + B*a*b^4) + x^3*((10*A*a^2*b^3)/7 + (10*B*a^3*b^2)/7) + (B*b^5*x^6)/4)/x^10","B"
136,1,120,117,0.322751,"\text{Not used}","int(((A + B*x)*(a + b*x)^5)/x^12,x)","-\frac{x\,\left(\frac{B\,a^5}{10}+\frac{A\,b\,a^4}{2}\right)+\frac{A\,a^5}{11}+x^4\,\left(\frac{10\,B\,a^2\,b^3}{7}+\frac{5\,A\,a\,b^4}{7}\right)+x^2\,\left(\frac{5\,B\,a^4\,b}{9}+\frac{10\,A\,a^3\,b^2}{9}\right)+x^5\,\left(\frac{A\,b^5}{6}+\frac{5\,B\,a\,b^4}{6}\right)+x^3\,\left(\frac{5\,B\,a^3\,b^2}{4}+\frac{5\,A\,a^2\,b^3}{4}\right)+\frac{B\,b^5\,x^6}{5}}{x^{11}}","Not used",1,"-(x*((B*a^5)/10 + (A*a^4*b)/2) + (A*a^5)/11 + x^4*((10*B*a^2*b^3)/7 + (5*A*a*b^4)/7) + x^2*((10*A*a^3*b^2)/9 + (5*B*a^4*b)/9) + x^5*((A*b^5)/6 + (5*B*a*b^4)/6) + x^3*((5*A*a^2*b^3)/4 + (5*B*a^3*b^2)/4) + (B*b^5*x^6)/5)/x^11","B"
137,1,211,229,0.138022,"\text{Not used}","int(x^10*(A + B*x)*(a + b*x)^10,x)","x^{12}\,\left(\frac{B\,a^{10}}{12}+\frac{5\,A\,b\,a^9}{6}\right)+x^{21}\,\left(\frac{A\,b^{10}}{21}+\frac{10\,B\,a\,b^9}{21}\right)+\frac{A\,a^{10}\,x^{11}}{11}+\frac{B\,b^{10}\,x^{22}}{22}+\frac{15\,a^7\,b^2\,x^{14}\,\left(8\,A\,b+3\,B\,a\right)}{14}+2\,a^6\,b^3\,x^{15}\,\left(7\,A\,b+4\,B\,a\right)+\frac{21\,a^5\,b^4\,x^{16}\,\left(6\,A\,b+5\,B\,a\right)}{8}+\frac{42\,a^4\,b^5\,x^{17}\,\left(5\,A\,b+6\,B\,a\right)}{17}+\frac{5\,a^3\,b^6\,x^{18}\,\left(4\,A\,b+7\,B\,a\right)}{3}+\frac{15\,a^2\,b^7\,x^{19}\,\left(3\,A\,b+8\,B\,a\right)}{19}+\frac{5\,a^8\,b\,x^{13}\,\left(9\,A\,b+2\,B\,a\right)}{13}+\frac{a\,b^8\,x^{20}\,\left(2\,A\,b+9\,B\,a\right)}{4}","Not used",1,"x^12*((B*a^10)/12 + (5*A*a^9*b)/6) + x^21*((A*b^10)/21 + (10*B*a*b^9)/21) + (A*a^10*x^11)/11 + (B*b^10*x^22)/22 + (15*a^7*b^2*x^14*(8*A*b + 3*B*a))/14 + 2*a^6*b^3*x^15*(7*A*b + 4*B*a) + (21*a^5*b^4*x^16*(6*A*b + 5*B*a))/8 + (42*a^4*b^5*x^17*(5*A*b + 6*B*a))/17 + (5*a^3*b^6*x^18*(4*A*b + 7*B*a))/3 + (15*a^2*b^7*x^19*(3*A*b + 8*B*a))/19 + (5*a^8*b*x^13*(9*A*b + 2*B*a))/13 + (a*b^8*x^20*(2*A*b + 9*B*a))/4","B"
138,1,211,231,0.375359,"\text{Not used}","int(x^9*(A + B*x)*(a + b*x)^10,x)","x^{11}\,\left(\frac{B\,a^{10}}{11}+\frac{10\,A\,b\,a^9}{11}\right)+x^{20}\,\left(\frac{A\,b^{10}}{20}+\frac{B\,a\,b^9}{2}\right)+\frac{A\,a^{10}\,x^{10}}{10}+\frac{B\,b^{10}\,x^{21}}{21}+\frac{15\,a^7\,b^2\,x^{13}\,\left(8\,A\,b+3\,B\,a\right)}{13}+\frac{15\,a^6\,b^3\,x^{14}\,\left(7\,A\,b+4\,B\,a\right)}{7}+\frac{14\,a^5\,b^4\,x^{15}\,\left(6\,A\,b+5\,B\,a\right)}{5}+\frac{21\,a^4\,b^5\,x^{16}\,\left(5\,A\,b+6\,B\,a\right)}{8}+\frac{30\,a^3\,b^6\,x^{17}\,\left(4\,A\,b+7\,B\,a\right)}{17}+\frac{5\,a^2\,b^7\,x^{18}\,\left(3\,A\,b+8\,B\,a\right)}{6}+\frac{5\,a^8\,b\,x^{12}\,\left(9\,A\,b+2\,B\,a\right)}{12}+\frac{5\,a\,b^8\,x^{19}\,\left(2\,A\,b+9\,B\,a\right)}{19}","Not used",1,"x^11*((B*a^10)/11 + (10*A*a^9*b)/11) + x^20*((A*b^10)/20 + (B*a*b^9)/2) + (A*a^10*x^10)/10 + (B*b^10*x^21)/21 + (15*a^7*b^2*x^13*(8*A*b + 3*B*a))/13 + (15*a^6*b^3*x^14*(7*A*b + 4*B*a))/7 + (14*a^5*b^4*x^15*(6*A*b + 5*B*a))/5 + (21*a^4*b^5*x^16*(5*A*b + 6*B*a))/8 + (30*a^3*b^6*x^17*(4*A*b + 7*B*a))/17 + (5*a^2*b^7*x^18*(3*A*b + 8*B*a))/6 + (5*a^8*b*x^12*(9*A*b + 2*B*a))/12 + (5*a*b^8*x^19*(2*A*b + 9*B*a))/19","B"
139,1,210,240,0.107881,"\text{Not used}","int(x^8*(A + B*x)*(a + b*x)^10,x)","x^{10}\,\left(\frac{B\,a^{10}}{10}+A\,b\,a^9\right)+x^{19}\,\left(\frac{A\,b^{10}}{19}+\frac{10\,B\,a\,b^9}{19}\right)+\frac{A\,a^{10}\,x^9}{9}+\frac{B\,b^{10}\,x^{20}}{20}+\frac{5\,a^7\,b^2\,x^{12}\,\left(8\,A\,b+3\,B\,a\right)}{4}+\frac{30\,a^6\,b^3\,x^{13}\,\left(7\,A\,b+4\,B\,a\right)}{13}+3\,a^5\,b^4\,x^{14}\,\left(6\,A\,b+5\,B\,a\right)+\frac{14\,a^4\,b^5\,x^{15}\,\left(5\,A\,b+6\,B\,a\right)}{5}+\frac{15\,a^3\,b^6\,x^{16}\,\left(4\,A\,b+7\,B\,a\right)}{8}+\frac{15\,a^2\,b^7\,x^{17}\,\left(3\,A\,b+8\,B\,a\right)}{17}+\frac{5\,a^8\,b\,x^{11}\,\left(9\,A\,b+2\,B\,a\right)}{11}+\frac{5\,a\,b^8\,x^{18}\,\left(2\,A\,b+9\,B\,a\right)}{18}","Not used",1,"x^10*((B*a^10)/10 + A*a^9*b) + x^19*((A*b^10)/19 + (10*B*a*b^9)/19) + (A*a^10*x^9)/9 + (B*b^10*x^20)/20 + (5*a^7*b^2*x^12*(8*A*b + 3*B*a))/4 + (30*a^6*b^3*x^13*(7*A*b + 4*B*a))/13 + 3*a^5*b^4*x^14*(6*A*b + 5*B*a) + (14*a^4*b^5*x^15*(5*A*b + 6*B*a))/5 + (15*a^3*b^6*x^16*(4*A*b + 7*B*a))/8 + (15*a^2*b^7*x^17*(3*A*b + 8*B*a))/17 + (5*a^8*b*x^11*(9*A*b + 2*B*a))/11 + (5*a*b^8*x^18*(2*A*b + 9*B*a))/18","B"
140,1,211,215,0.113726,"\text{Not used}","int(x^7*(A + B*x)*(a + b*x)^10,x)","x^9\,\left(\frac{B\,a^{10}}{9}+\frac{10\,A\,b\,a^9}{9}\right)+x^{18}\,\left(\frac{A\,b^{10}}{18}+\frac{5\,B\,a\,b^9}{9}\right)+\frac{A\,a^{10}\,x^8}{8}+\frac{B\,b^{10}\,x^{19}}{19}+\frac{15\,a^7\,b^2\,x^{11}\,\left(8\,A\,b+3\,B\,a\right)}{11}+\frac{5\,a^6\,b^3\,x^{12}\,\left(7\,A\,b+4\,B\,a\right)}{2}+\frac{42\,a^5\,b^4\,x^{13}\,\left(6\,A\,b+5\,B\,a\right)}{13}+3\,a^4\,b^5\,x^{14}\,\left(5\,A\,b+6\,B\,a\right)+2\,a^3\,b^6\,x^{15}\,\left(4\,A\,b+7\,B\,a\right)+\frac{15\,a^2\,b^7\,x^{16}\,\left(3\,A\,b+8\,B\,a\right)}{16}+\frac{a^8\,b\,x^{10}\,\left(9\,A\,b+2\,B\,a\right)}{2}+\frac{5\,a\,b^8\,x^{17}\,\left(2\,A\,b+9\,B\,a\right)}{17}","Not used",1,"x^9*((B*a^10)/9 + (10*A*a^9*b)/9) + x^18*((A*b^10)/18 + (5*B*a*b^9)/9) + (A*a^10*x^8)/8 + (B*b^10*x^19)/19 + (15*a^7*b^2*x^11*(8*A*b + 3*B*a))/11 + (5*a^6*b^3*x^12*(7*A*b + 4*B*a))/2 + (42*a^5*b^4*x^13*(6*A*b + 5*B*a))/13 + 3*a^4*b^5*x^14*(5*A*b + 6*B*a) + 2*a^3*b^6*x^15*(4*A*b + 7*B*a) + (15*a^2*b^7*x^16*(3*A*b + 8*B*a))/16 + (a^8*b*x^10*(9*A*b + 2*B*a))/2 + (5*a*b^8*x^17*(2*A*b + 9*B*a))/17","B"
141,1,210,191,0.111337,"\text{Not used}","int(x^6*(A + B*x)*(a + b*x)^10,x)","x^8\,\left(\frac{B\,a^{10}}{8}+\frac{5\,A\,b\,a^9}{4}\right)+x^{17}\,\left(\frac{A\,b^{10}}{17}+\frac{10\,B\,a\,b^9}{17}\right)+\frac{A\,a^{10}\,x^7}{7}+\frac{B\,b^{10}\,x^{18}}{18}+\frac{3\,a^7\,b^2\,x^{10}\,\left(8\,A\,b+3\,B\,a\right)}{2}+\frac{30\,a^6\,b^3\,x^{11}\,\left(7\,A\,b+4\,B\,a\right)}{11}+\frac{7\,a^5\,b^4\,x^{12}\,\left(6\,A\,b+5\,B\,a\right)}{2}+\frac{42\,a^4\,b^5\,x^{13}\,\left(5\,A\,b+6\,B\,a\right)}{13}+\frac{15\,a^3\,b^6\,x^{14}\,\left(4\,A\,b+7\,B\,a\right)}{7}+a^2\,b^7\,x^{15}\,\left(3\,A\,b+8\,B\,a\right)+\frac{5\,a^8\,b\,x^9\,\left(9\,A\,b+2\,B\,a\right)}{9}+\frac{5\,a\,b^8\,x^{16}\,\left(2\,A\,b+9\,B\,a\right)}{16}","Not used",1,"x^8*((B*a^10)/8 + (5*A*a^9*b)/4) + x^17*((A*b^10)/17 + (10*B*a*b^9)/17) + (A*a^10*x^7)/7 + (B*b^10*x^18)/18 + (3*a^7*b^2*x^10*(8*A*b + 3*B*a))/2 + (30*a^6*b^3*x^11*(7*A*b + 4*B*a))/11 + (7*a^5*b^4*x^12*(6*A*b + 5*B*a))/2 + (42*a^4*b^5*x^13*(5*A*b + 6*B*a))/13 + (15*a^3*b^6*x^14*(4*A*b + 7*B*a))/7 + a^2*b^7*x^15*(3*A*b + 8*B*a) + (5*a^8*b*x^9*(9*A*b + 2*B*a))/9 + (5*a*b^8*x^16*(2*A*b + 9*B*a))/16","B"
142,1,211,163,0.102169,"\text{Not used}","int(x^5*(A + B*x)*(a + b*x)^10,x)","x^7\,\left(\frac{B\,a^{10}}{7}+\frac{10\,A\,b\,a^9}{7}\right)+x^{16}\,\left(\frac{A\,b^{10}}{16}+\frac{5\,B\,a\,b^9}{8}\right)+\frac{A\,a^{10}\,x^6}{6}+\frac{B\,b^{10}\,x^{17}}{17}+\frac{5\,a^7\,b^2\,x^9\,\left(8\,A\,b+3\,B\,a\right)}{3}+3\,a^6\,b^3\,x^{10}\,\left(7\,A\,b+4\,B\,a\right)+\frac{42\,a^5\,b^4\,x^{11}\,\left(6\,A\,b+5\,B\,a\right)}{11}+\frac{7\,a^4\,b^5\,x^{12}\,\left(5\,A\,b+6\,B\,a\right)}{2}+\frac{30\,a^3\,b^6\,x^{13}\,\left(4\,A\,b+7\,B\,a\right)}{13}+\frac{15\,a^2\,b^7\,x^{14}\,\left(3\,A\,b+8\,B\,a\right)}{14}+\frac{5\,a^8\,b\,x^8\,\left(9\,A\,b+2\,B\,a\right)}{8}+\frac{a\,b^8\,x^{15}\,\left(2\,A\,b+9\,B\,a\right)}{3}","Not used",1,"x^7*((B*a^10)/7 + (10*A*a^9*b)/7) + x^16*((A*b^10)/16 + (5*B*a*b^9)/8) + (A*a^10*x^6)/6 + (B*b^10*x^17)/17 + (5*a^7*b^2*x^9*(8*A*b + 3*B*a))/3 + 3*a^6*b^3*x^10*(7*A*b + 4*B*a) + (42*a^5*b^4*x^11*(6*A*b + 5*B*a))/11 + (7*a^4*b^5*x^12*(5*A*b + 6*B*a))/2 + (30*a^3*b^6*x^13*(4*A*b + 7*B*a))/13 + (15*a^2*b^7*x^14*(3*A*b + 8*B*a))/14 + (5*a^8*b*x^8*(9*A*b + 2*B*a))/8 + (a*b^8*x^15*(2*A*b + 9*B*a))/3","B"
143,1,211,139,0.101155,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^10,x)","x^6\,\left(\frac{B\,a^{10}}{6}+\frac{5\,A\,b\,a^9}{3}\right)+x^{15}\,\left(\frac{A\,b^{10}}{15}+\frac{2\,B\,a\,b^9}{3}\right)+\frac{A\,a^{10}\,x^5}{5}+\frac{B\,b^{10}\,x^{16}}{16}+\frac{15\,a^7\,b^2\,x^8\,\left(8\,A\,b+3\,B\,a\right)}{8}+\frac{10\,a^6\,b^3\,x^9\,\left(7\,A\,b+4\,B\,a\right)}{3}+\frac{21\,a^5\,b^4\,x^{10}\,\left(6\,A\,b+5\,B\,a\right)}{5}+\frac{42\,a^4\,b^5\,x^{11}\,\left(5\,A\,b+6\,B\,a\right)}{11}+\frac{5\,a^3\,b^6\,x^{12}\,\left(4\,A\,b+7\,B\,a\right)}{2}+\frac{15\,a^2\,b^7\,x^{13}\,\left(3\,A\,b+8\,B\,a\right)}{13}+\frac{5\,a^8\,b\,x^7\,\left(9\,A\,b+2\,B\,a\right)}{7}+\frac{5\,a\,b^8\,x^{14}\,\left(2\,A\,b+9\,B\,a\right)}{14}","Not used",1,"x^6*((B*a^10)/6 + (5*A*a^9*b)/3) + x^15*((A*b^10)/15 + (2*B*a*b^9)/3) + (A*a^10*x^5)/5 + (B*b^10*x^16)/16 + (15*a^7*b^2*x^8*(8*A*b + 3*B*a))/8 + (10*a^6*b^3*x^9*(7*A*b + 4*B*a))/3 + (21*a^5*b^4*x^10*(6*A*b + 5*B*a))/5 + (42*a^4*b^5*x^11*(5*A*b + 6*B*a))/11 + (5*a^3*b^6*x^12*(4*A*b + 7*B*a))/2 + (15*a^2*b^7*x^13*(3*A*b + 8*B*a))/13 + (5*a^8*b*x^7*(9*A*b + 2*B*a))/7 + (5*a*b^8*x^14*(2*A*b + 9*B*a))/14","B"
144,1,211,112,0.104210,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^10,x)","x^5\,\left(\frac{B\,a^{10}}{5}+2\,A\,b\,a^9\right)+x^{14}\,\left(\frac{A\,b^{10}}{14}+\frac{5\,B\,a\,b^9}{7}\right)+\frac{A\,a^{10}\,x^4}{4}+\frac{B\,b^{10}\,x^{15}}{15}+\frac{15\,a^7\,b^2\,x^7\,\left(8\,A\,b+3\,B\,a\right)}{7}+\frac{15\,a^6\,b^3\,x^8\,\left(7\,A\,b+4\,B\,a\right)}{4}+\frac{14\,a^5\,b^4\,x^9\,\left(6\,A\,b+5\,B\,a\right)}{3}+\frac{21\,a^4\,b^5\,x^{10}\,\left(5\,A\,b+6\,B\,a\right)}{5}+\frac{30\,a^3\,b^6\,x^{11}\,\left(4\,A\,b+7\,B\,a\right)}{11}+\frac{5\,a^2\,b^7\,x^{12}\,\left(3\,A\,b+8\,B\,a\right)}{4}+\frac{5\,a^8\,b\,x^6\,\left(9\,A\,b+2\,B\,a\right)}{6}+\frac{5\,a\,b^8\,x^{13}\,\left(2\,A\,b+9\,B\,a\right)}{13}","Not used",1,"x^5*((B*a^10)/5 + 2*A*a^9*b) + x^14*((A*b^10)/14 + (5*B*a*b^9)/7) + (A*a^10*x^4)/4 + (B*b^10*x^15)/15 + (15*a^7*b^2*x^7*(8*A*b + 3*B*a))/7 + (15*a^6*b^3*x^8*(7*A*b + 4*B*a))/4 + (14*a^5*b^4*x^9*(6*A*b + 5*B*a))/3 + (21*a^4*b^5*x^10*(5*A*b + 6*B*a))/5 + (30*a^3*b^6*x^11*(4*A*b + 7*B*a))/11 + (5*a^2*b^7*x^12*(3*A*b + 8*B*a))/4 + (5*a^8*b*x^6*(9*A*b + 2*B*a))/6 + (5*a*b^8*x^13*(2*A*b + 9*B*a))/13","B"
145,1,210,87,0.105175,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^10,x)","x^4\,\left(\frac{B\,a^{10}}{4}+\frac{5\,A\,b\,a^9}{2}\right)+x^{13}\,\left(\frac{A\,b^{10}}{13}+\frac{10\,B\,a\,b^9}{13}\right)+\frac{A\,a^{10}\,x^3}{3}+\frac{B\,b^{10}\,x^{14}}{14}+\frac{5\,a^7\,b^2\,x^6\,\left(8\,A\,b+3\,B\,a\right)}{2}+\frac{30\,a^6\,b^3\,x^7\,\left(7\,A\,b+4\,B\,a\right)}{7}+\frac{21\,a^5\,b^4\,x^8\,\left(6\,A\,b+5\,B\,a\right)}{4}+\frac{14\,a^4\,b^5\,x^9\,\left(5\,A\,b+6\,B\,a\right)}{3}+3\,a^3\,b^6\,x^{10}\,\left(4\,A\,b+7\,B\,a\right)+\frac{15\,a^2\,b^7\,x^{11}\,\left(3\,A\,b+8\,B\,a\right)}{11}+a^8\,b\,x^5\,\left(9\,A\,b+2\,B\,a\right)+\frac{5\,a\,b^8\,x^{12}\,\left(2\,A\,b+9\,B\,a\right)}{12}","Not used",1,"x^4*((B*a^10)/4 + (5*A*a^9*b)/2) + x^13*((A*b^10)/13 + (10*B*a*b^9)/13) + (A*a^10*x^3)/3 + (B*b^10*x^14)/14 + (5*a^7*b^2*x^6*(8*A*b + 3*B*a))/2 + (30*a^6*b^3*x^7*(7*A*b + 4*B*a))/7 + (21*a^5*b^4*x^8*(6*A*b + 5*B*a))/4 + (14*a^4*b^5*x^9*(5*A*b + 6*B*a))/3 + 3*a^3*b^6*x^10*(4*A*b + 7*B*a) + (15*a^2*b^7*x^11*(3*A*b + 8*B*a))/11 + a^8*b*x^5*(9*A*b + 2*B*a) + (5*a*b^8*x^12*(2*A*b + 9*B*a))/12","B"
146,1,211,61,0.109716,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^10,x)","x^3\,\left(\frac{B\,a^{10}}{3}+\frac{10\,A\,b\,a^9}{3}\right)+x^{12}\,\left(\frac{A\,b^{10}}{12}+\frac{5\,B\,a\,b^9}{6}\right)+\frac{A\,a^{10}\,x^2}{2}+\frac{B\,b^{10}\,x^{13}}{13}+3\,a^7\,b^2\,x^5\,\left(8\,A\,b+3\,B\,a\right)+5\,a^6\,b^3\,x^6\,\left(7\,A\,b+4\,B\,a\right)+6\,a^5\,b^4\,x^7\,\left(6\,A\,b+5\,B\,a\right)+\frac{21\,a^4\,b^5\,x^8\,\left(5\,A\,b+6\,B\,a\right)}{4}+\frac{10\,a^3\,b^6\,x^9\,\left(4\,A\,b+7\,B\,a\right)}{3}+\frac{3\,a^2\,b^7\,x^{10}\,\left(3\,A\,b+8\,B\,a\right)}{2}+\frac{5\,a^8\,b\,x^4\,\left(9\,A\,b+2\,B\,a\right)}{4}+\frac{5\,a\,b^8\,x^{11}\,\left(2\,A\,b+9\,B\,a\right)}{11}","Not used",1,"x^3*((B*a^10)/3 + (10*A*a^9*b)/3) + x^12*((A*b^10)/12 + (5*B*a*b^9)/6) + (A*a^10*x^2)/2 + (B*b^10*x^13)/13 + 3*a^7*b^2*x^5*(8*A*b + 3*B*a) + 5*a^6*b^3*x^6*(7*A*b + 4*B*a) + 6*a^5*b^4*x^7*(6*A*b + 5*B*a) + (21*a^4*b^5*x^8*(5*A*b + 6*B*a))/4 + (10*a^3*b^6*x^9*(4*A*b + 7*B*a))/3 + (3*a^2*b^7*x^10*(3*A*b + 8*B*a))/2 + (5*a^8*b*x^4*(9*A*b + 2*B*a))/4 + (5*a*b^8*x^11*(2*A*b + 9*B*a))/11","B"
147,1,208,38,0.374734,"\text{Not used}","int((A + B*x)*(a + b*x)^10,x)","x^2\,\left(\frac{B\,a^{10}}{2}+5\,A\,b\,a^9\right)+x^{11}\,\left(\frac{A\,b^{10}}{11}+\frac{10\,B\,a\,b^9}{11}\right)+\frac{B\,b^{10}\,x^{12}}{12}+A\,a^{10}\,x+\frac{15\,a^7\,b^2\,x^4\,\left(8\,A\,b+3\,B\,a\right)}{4}+6\,a^6\,b^3\,x^5\,\left(7\,A\,b+4\,B\,a\right)+7\,a^5\,b^4\,x^6\,\left(6\,A\,b+5\,B\,a\right)+6\,a^4\,b^5\,x^7\,\left(5\,A\,b+6\,B\,a\right)+\frac{15\,a^3\,b^6\,x^8\,\left(4\,A\,b+7\,B\,a\right)}{4}+\frac{5\,a^2\,b^7\,x^9\,\left(3\,A\,b+8\,B\,a\right)}{3}+\frac{5\,a^8\,b\,x^3\,\left(9\,A\,b+2\,B\,a\right)}{3}+\frac{a\,b^8\,x^{10}\,\left(2\,A\,b+9\,B\,a\right)}{2}","Not used",1,"x^2*((B*a^10)/2 + 5*A*a^9*b) + x^11*((A*b^10)/11 + (10*B*a*b^9)/11) + (B*b^10*x^12)/12 + A*a^10*x + (15*a^7*b^2*x^4*(8*A*b + 3*B*a))/4 + 6*a^6*b^3*x^5*(7*A*b + 4*B*a) + 7*a^5*b^4*x^6*(6*A*b + 5*B*a) + 6*a^4*b^5*x^7*(5*A*b + 6*B*a) + (15*a^3*b^6*x^8*(4*A*b + 7*B*a))/4 + (5*a^2*b^7*x^9*(3*A*b + 8*B*a))/3 + (5*a^8*b*x^3*(9*A*b + 2*B*a))/3 + (a*b^8*x^10*(2*A*b + 9*B*a))/2","B"
148,1,205,148,0.370122,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x,x)","x\,\left(B\,a^{10}+10\,A\,b\,a^9\right)+x^{10}\,\left(\frac{A\,b^{10}}{10}+B\,a\,b^9\right)+\frac{B\,b^{10}\,x^{11}}{11}+A\,a^{10}\,\ln\left(x\right)+5\,a^7\,b^2\,x^3\,\left(8\,A\,b+3\,B\,a\right)+\frac{15\,a^6\,b^3\,x^4\,\left(7\,A\,b+4\,B\,a\right)}{2}+\frac{42\,a^5\,b^4\,x^5\,\left(6\,A\,b+5\,B\,a\right)}{5}+7\,a^4\,b^5\,x^6\,\left(5\,A\,b+6\,B\,a\right)+\frac{30\,a^3\,b^6\,x^7\,\left(4\,A\,b+7\,B\,a\right)}{7}+\frac{15\,a^2\,b^7\,x^8\,\left(3\,A\,b+8\,B\,a\right)}{8}+\frac{5\,a^8\,b\,x^2\,\left(9\,A\,b+2\,B\,a\right)}{2}+\frac{5\,a\,b^8\,x^9\,\left(2\,A\,b+9\,B\,a\right)}{9}","Not used",1,"x*(B*a^10 + 10*A*a^9*b) + x^10*((A*b^10)/10 + B*a*b^9) + (B*b^10*x^11)/11 + A*a^10*log(x) + 5*a^7*b^2*x^3*(8*A*b + 3*B*a) + (15*a^6*b^3*x^4*(7*A*b + 4*B*a))/2 + (42*a^5*b^4*x^5*(6*A*b + 5*B*a))/5 + 7*a^4*b^5*x^6*(5*A*b + 6*B*a) + (30*a^3*b^6*x^7*(4*A*b + 7*B*a))/7 + (15*a^2*b^7*x^8*(3*A*b + 8*B*a))/8 + (5*a^8*b*x^2*(9*A*b + 2*B*a))/2 + (5*a*b^8*x^9*(2*A*b + 9*B*a))/9","B"
149,1,207,217,0.114310,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^2,x)","x^9\,\left(\frac{A\,b^{10}}{9}+\frac{10\,B\,a\,b^9}{9}\right)+\ln\left(x\right)\,\left(B\,a^{10}+10\,A\,b\,a^9\right)-\frac{A\,a^{10}}{x}+\frac{B\,b^{10}\,x^{10}}{10}+\frac{15\,a^7\,b^2\,x^2\,\left(8\,A\,b+3\,B\,a\right)}{2}+10\,a^6\,b^3\,x^3\,\left(7\,A\,b+4\,B\,a\right)+\frac{21\,a^5\,b^4\,x^4\,\left(6\,A\,b+5\,B\,a\right)}{2}+\frac{42\,a^4\,b^5\,x^5\,\left(5\,A\,b+6\,B\,a\right)}{5}+5\,a^3\,b^6\,x^6\,\left(4\,A\,b+7\,B\,a\right)+\frac{15\,a^2\,b^7\,x^7\,\left(3\,A\,b+8\,B\,a\right)}{7}+5\,a^8\,b\,x\,\left(9\,A\,b+2\,B\,a\right)+\frac{5\,a\,b^8\,x^8\,\left(2\,A\,b+9\,B\,a\right)}{8}","Not used",1,"x^9*((A*b^10)/9 + (10*B*a*b^9)/9) + log(x)*(B*a^10 + 10*A*a^9*b) - (A*a^10)/x + (B*b^10*x^10)/10 + (15*a^7*b^2*x^2*(8*A*b + 3*B*a))/2 + 10*a^6*b^3*x^3*(7*A*b + 4*B*a) + (21*a^5*b^4*x^4*(6*A*b + 5*B*a))/2 + (42*a^4*b^5*x^5*(5*A*b + 6*B*a))/5 + 5*a^3*b^6*x^6*(4*A*b + 7*B*a) + (15*a^2*b^7*x^7*(3*A*b + 8*B*a))/7 + 5*a^8*b*x*(9*A*b + 2*B*a) + (5*a*b^8*x^8*(2*A*b + 9*B*a))/8","B"
150,1,211,216,0.363639,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^3,x)","\ln\left(x\right)\,\left(10\,B\,a^9\,b+45\,A\,a^8\,b^2\right)-\frac{x\,\left(B\,a^{10}+10\,A\,b\,a^9\right)+\frac{A\,a^{10}}{2}}{x^2}+x^8\,\left(\frac{A\,b^{10}}{8}+\frac{5\,B\,a\,b^9}{4}\right)+\frac{B\,b^{10}\,x^9}{9}+15\,a^6\,b^3\,x^2\,\left(7\,A\,b+4\,B\,a\right)+14\,a^5\,b^4\,x^3\,\left(6\,A\,b+5\,B\,a\right)+\frac{21\,a^4\,b^5\,x^4\,\left(5\,A\,b+6\,B\,a\right)}{2}+6\,a^3\,b^6\,x^5\,\left(4\,A\,b+7\,B\,a\right)+\frac{5\,a^2\,b^7\,x^6\,\left(3\,A\,b+8\,B\,a\right)}{2}+15\,a^7\,b^2\,x\,\left(8\,A\,b+3\,B\,a\right)+\frac{5\,a\,b^8\,x^7\,\left(2\,A\,b+9\,B\,a\right)}{7}","Not used",1,"log(x)*(45*A*a^8*b^2 + 10*B*a^9*b) - (x*(B*a^10 + 10*A*a^9*b) + (A*a^10)/2)/x^2 + x^8*((A*b^10)/8 + (5*B*a*b^9)/4) + (B*b^10*x^9)/9 + 15*a^6*b^3*x^2*(7*A*b + 4*B*a) + 14*a^5*b^4*x^3*(6*A*b + 5*B*a) + (21*a^4*b^5*x^4*(5*A*b + 6*B*a))/2 + 6*a^3*b^6*x^5*(4*A*b + 7*B*a) + (5*a^2*b^7*x^6*(3*A*b + 8*B*a))/2 + 15*a^7*b^2*x*(8*A*b + 3*B*a) + (5*a*b^8*x^7*(2*A*b + 9*B*a))/7","B"
151,1,215,216,0.360969,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^4,x)","x^7\,\left(\frac{A\,b^{10}}{7}+\frac{10\,B\,a\,b^9}{7}\right)-\frac{x\,\left(\frac{B\,a^{10}}{2}+5\,A\,b\,a^9\right)+\frac{A\,a^{10}}{3}+x^2\,\left(10\,B\,a^9\,b+45\,A\,a^8\,b^2\right)}{x^3}+\ln\left(x\right)\,\left(45\,B\,a^8\,b^2+120\,A\,a^7\,b^3\right)+\frac{B\,b^{10}\,x^8}{8}+21\,a^5\,b^4\,x^2\,\left(6\,A\,b+5\,B\,a\right)+14\,a^4\,b^5\,x^3\,\left(5\,A\,b+6\,B\,a\right)+\frac{15\,a^3\,b^6\,x^4\,\left(4\,A\,b+7\,B\,a\right)}{2}+3\,a^2\,b^7\,x^5\,\left(3\,A\,b+8\,B\,a\right)+30\,a^6\,b^3\,x\,\left(7\,A\,b+4\,B\,a\right)+\frac{5\,a\,b^8\,x^6\,\left(2\,A\,b+9\,B\,a\right)}{6}","Not used",1,"x^7*((A*b^10)/7 + (10*B*a*b^9)/7) - (x*((B*a^10)/2 + 5*A*a^9*b) + (A*a^10)/3 + x^2*(45*A*a^8*b^2 + 10*B*a^9*b))/x^3 + log(x)*(120*A*a^7*b^3 + 45*B*a^8*b^2) + (B*b^10*x^8)/8 + 21*a^5*b^4*x^2*(6*A*b + 5*B*a) + 14*a^4*b^5*x^3*(5*A*b + 6*B*a) + (15*a^3*b^6*x^4*(4*A*b + 7*B*a))/2 + 3*a^2*b^7*x^5*(3*A*b + 8*B*a) + 30*a^6*b^3*x*(7*A*b + 4*B*a) + (5*a*b^8*x^6*(2*A*b + 9*B*a))/6","B"
152,1,217,215,0.093129,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^5,x)","x^6\,\left(\frac{A\,b^{10}}{6}+\frac{5\,B\,a\,b^9}{3}\right)-\frac{x\,\left(\frac{B\,a^{10}}{3}+\frac{10\,A\,b\,a^9}{3}\right)+\frac{A\,a^{10}}{4}+x^2\,\left(5\,B\,a^9\,b+\frac{45\,A\,a^8\,b^2}{2}\right)+x^3\,\left(45\,B\,a^8\,b^2+120\,A\,a^7\,b^3\right)}{x^4}+\ln\left(x\right)\,\left(120\,B\,a^7\,b^3+210\,A\,a^6\,b^4\right)+\frac{B\,b^{10}\,x^7}{7}+21\,a^4\,b^5\,x^2\,\left(5\,A\,b+6\,B\,a\right)+10\,a^3\,b^6\,x^3\,\left(4\,A\,b+7\,B\,a\right)+\frac{15\,a^2\,b^7\,x^4\,\left(3\,A\,b+8\,B\,a\right)}{4}+42\,a^5\,b^4\,x\,\left(6\,A\,b+5\,B\,a\right)+a\,b^8\,x^5\,\left(2\,A\,b+9\,B\,a\right)","Not used",1,"x^6*((A*b^10)/6 + (5*B*a*b^9)/3) - (x*((B*a^10)/3 + (10*A*a^9*b)/3) + (A*a^10)/4 + x^2*((45*A*a^8*b^2)/2 + 5*B*a^9*b) + x^3*(120*A*a^7*b^3 + 45*B*a^8*b^2))/x^4 + log(x)*(210*A*a^6*b^4 + 120*B*a^7*b^3) + (B*b^10*x^7)/7 + 21*a^4*b^5*x^2*(5*A*b + 6*B*a) + 10*a^3*b^6*x^3*(4*A*b + 7*B*a) + (15*a^2*b^7*x^4*(3*A*b + 8*B*a))/4 + 42*a^5*b^4*x*(6*A*b + 5*B*a) + a*b^8*x^5*(2*A*b + 9*B*a)","B"
153,1,221,218,0.081382,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^6,x)","x^5\,\left(\frac{A\,b^{10}}{5}+2\,B\,a\,b^9\right)-\frac{x\,\left(\frac{B\,a^{10}}{4}+\frac{5\,A\,b\,a^9}{2}\right)+\frac{A\,a^{10}}{5}+x^2\,\left(\frac{10\,B\,a^9\,b}{3}+15\,A\,a^8\,b^2\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{2}+60\,A\,a^7\,b^3\right)+x^4\,\left(120\,B\,a^7\,b^3+210\,A\,a^6\,b^4\right)}{x^5}+\ln\left(x\right)\,\left(210\,B\,a^6\,b^4+252\,A\,a^5\,b^5\right)+\frac{B\,b^{10}\,x^6}{6}+15\,a^3\,b^6\,x^2\,\left(4\,A\,b+7\,B\,a\right)+5\,a^2\,b^7\,x^3\,\left(3\,A\,b+8\,B\,a\right)+42\,a^4\,b^5\,x\,\left(5\,A\,b+6\,B\,a\right)+\frac{5\,a\,b^8\,x^4\,\left(2\,A\,b+9\,B\,a\right)}{4}","Not used",1,"x^5*((A*b^10)/5 + 2*B*a*b^9) - (x*((B*a^10)/4 + (5*A*a^9*b)/2) + (A*a^10)/5 + x^2*(15*A*a^8*b^2 + (10*B*a^9*b)/3) + x^3*(60*A*a^7*b^3 + (45*B*a^8*b^2)/2) + x^4*(210*A*a^6*b^4 + 120*B*a^7*b^3))/x^5 + log(x)*(252*A*a^5*b^5 + 210*B*a^6*b^4) + (B*b^10*x^6)/6 + 15*a^3*b^6*x^2*(4*A*b + 7*B*a) + 5*a^2*b^7*x^3*(3*A*b + 8*B*a) + 42*a^4*b^5*x*(5*A*b + 6*B*a) + (5*a*b^8*x^4*(2*A*b + 9*B*a))/4","B"
154,1,224,218,0.081026,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^7,x)","x^4\,\left(\frac{A\,b^{10}}{4}+\frac{5\,B\,a\,b^9}{2}\right)-\frac{x\,\left(\frac{B\,a^{10}}{5}+2\,A\,b\,a^9\right)+\frac{A\,a^{10}}{6}+x^2\,\left(\frac{5\,B\,a^9\,b}{2}+\frac{45\,A\,a^8\,b^2}{4}\right)+x^3\,\left(15\,B\,a^8\,b^2+40\,A\,a^7\,b^3\right)+x^4\,\left(60\,B\,a^7\,b^3+105\,A\,a^6\,b^4\right)+x^5\,\left(210\,B\,a^6\,b^4+252\,A\,a^5\,b^5\right)}{x^6}+\ln\left(x\right)\,\left(252\,B\,a^5\,b^5+210\,A\,a^4\,b^6\right)+\frac{B\,b^{10}\,x^5}{5}+\frac{15\,a^2\,b^7\,x^2\,\left(3\,A\,b+8\,B\,a\right)}{2}+30\,a^3\,b^6\,x\,\left(4\,A\,b+7\,B\,a\right)+\frac{5\,a\,b^8\,x^3\,\left(2\,A\,b+9\,B\,a\right)}{3}","Not used",1,"x^4*((A*b^10)/4 + (5*B*a*b^9)/2) - (x*((B*a^10)/5 + 2*A*a^9*b) + (A*a^10)/6 + x^2*((45*A*a^8*b^2)/4 + (5*B*a^9*b)/2) + x^3*(40*A*a^7*b^3 + 15*B*a^8*b^2) + x^4*(105*A*a^6*b^4 + 60*B*a^7*b^3) + x^5*(252*A*a^5*b^5 + 210*B*a^6*b^4))/x^6 + log(x)*(210*A*a^4*b^6 + 252*B*a^5*b^5) + (B*b^10*x^5)/5 + (15*a^2*b^7*x^2*(3*A*b + 8*B*a))/2 + 30*a^3*b^6*x*(4*A*b + 7*B*a) + (5*a*b^8*x^3*(2*A*b + 9*B*a))/3","B"
155,1,227,216,0.081958,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^8,x)","x^3\,\left(\frac{A\,b^{10}}{3}+\frac{10\,B\,a\,b^9}{3}\right)-\frac{x\,\left(\frac{B\,a^{10}}{6}+\frac{5\,A\,b\,a^9}{3}\right)+\frac{A\,a^{10}}{7}+x^2\,\left(2\,B\,a^9\,b+9\,A\,a^8\,b^2\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{4}+30\,A\,a^7\,b^3\right)+x^4\,\left(40\,B\,a^7\,b^3+70\,A\,a^6\,b^4\right)+x^5\,\left(105\,B\,a^6\,b^4+126\,A\,a^5\,b^5\right)+x^6\,\left(252\,B\,a^5\,b^5+210\,A\,a^4\,b^6\right)}{x^7}+\ln\left(x\right)\,\left(210\,B\,a^4\,b^6+120\,A\,a^3\,b^7\right)+\frac{B\,b^{10}\,x^4}{4}+15\,a^2\,b^7\,x\,\left(3\,A\,b+8\,B\,a\right)+\frac{5\,a\,b^8\,x^2\,\left(2\,A\,b+9\,B\,a\right)}{2}","Not used",1,"x^3*((A*b^10)/3 + (10*B*a*b^9)/3) - (x*((B*a^10)/6 + (5*A*a^9*b)/3) + (A*a^10)/7 + x^2*(9*A*a^8*b^2 + 2*B*a^9*b) + x^3*(30*A*a^7*b^3 + (45*B*a^8*b^2)/4) + x^4*(70*A*a^6*b^4 + 40*B*a^7*b^3) + x^5*(126*A*a^5*b^5 + 105*B*a^6*b^4) + x^6*(210*A*a^4*b^6 + 252*B*a^5*b^5))/x^7 + log(x)*(120*A*a^3*b^7 + 210*B*a^4*b^6) + (B*b^10*x^4)/4 + 15*a^2*b^7*x*(3*A*b + 8*B*a) + (5*a*b^8*x^2*(2*A*b + 9*B*a))/2","B"
156,1,230,216,0.083344,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^9,x)","x^2\,\left(\frac{A\,b^{10}}{2}+5\,B\,a\,b^9\right)-\frac{x\,\left(\frac{B\,a^{10}}{7}+\frac{10\,A\,b\,a^9}{7}\right)+\frac{A\,a^{10}}{8}+x^2\,\left(\frac{5\,B\,a^9\,b}{3}+\frac{15\,A\,a^8\,b^2}{2}\right)+x^3\,\left(9\,B\,a^8\,b^2+24\,A\,a^7\,b^3\right)+x^4\,\left(30\,B\,a^7\,b^3+\frac{105\,A\,a^6\,b^4}{2}\right)+x^5\,\left(70\,B\,a^6\,b^4+84\,A\,a^5\,b^5\right)+x^6\,\left(126\,B\,a^5\,b^5+105\,A\,a^4\,b^6\right)+x^7\,\left(210\,B\,a^4\,b^6+120\,A\,a^3\,b^7\right)}{x^8}+\ln\left(x\right)\,\left(120\,B\,a^3\,b^7+45\,A\,a^2\,b^8\right)+\frac{B\,b^{10}\,x^3}{3}+5\,a\,b^8\,x\,\left(2\,A\,b+9\,B\,a\right)","Not used",1,"x^2*((A*b^10)/2 + 5*B*a*b^9) - (x*((B*a^10)/7 + (10*A*a^9*b)/7) + (A*a^10)/8 + x^2*((15*A*a^8*b^2)/2 + (5*B*a^9*b)/3) + x^3*(24*A*a^7*b^3 + 9*B*a^8*b^2) + x^4*((105*A*a^6*b^4)/2 + 30*B*a^7*b^3) + x^5*(84*A*a^5*b^5 + 70*B*a^6*b^4) + x^6*(105*A*a^4*b^6 + 126*B*a^5*b^5) + x^7*(120*A*a^3*b^7 + 210*B*a^4*b^6))/x^8 + log(x)*(45*A*a^2*b^8 + 120*B*a^3*b^7) + (B*b^10*x^3)/3 + 5*a*b^8*x*(2*A*b + 9*B*a)","B"
157,1,232,215,0.360046,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^10,x)","x\,\left(A\,b^{10}+10\,B\,a\,b^9\right)+\ln\left(x\right)\,\left(45\,B\,a^2\,b^8+10\,A\,a\,b^9\right)-\frac{x\,\left(\frac{B\,a^{10}}{8}+\frac{5\,A\,b\,a^9}{4}\right)+\frac{A\,a^{10}}{9}+x^2\,\left(\frac{10\,B\,a^9\,b}{7}+\frac{45\,A\,a^8\,b^2}{7}\right)+x^3\,\left(\frac{15\,B\,a^8\,b^2}{2}+20\,A\,a^7\,b^3\right)+x^4\,\left(24\,B\,a^7\,b^3+42\,A\,a^6\,b^4\right)+x^6\,\left(84\,B\,a^5\,b^5+70\,A\,a^4\,b^6\right)+x^7\,\left(105\,B\,a^4\,b^6+60\,A\,a^3\,b^7\right)+x^8\,\left(120\,B\,a^3\,b^7+45\,A\,a^2\,b^8\right)+x^5\,\left(\frac{105\,B\,a^6\,b^4}{2}+63\,A\,a^5\,b^5\right)}{x^9}+\frac{B\,b^{10}\,x^2}{2}","Not used",1,"x*(A*b^10 + 10*B*a*b^9) + log(x)*(45*B*a^2*b^8 + 10*A*a*b^9) - (x*((B*a^10)/8 + (5*A*a^9*b)/4) + (A*a^10)/9 + x^2*((45*A*a^8*b^2)/7 + (10*B*a^9*b)/7) + x^3*(20*A*a^7*b^3 + (15*B*a^8*b^2)/2) + x^4*(42*A*a^6*b^4 + 24*B*a^7*b^3) + x^6*(70*A*a^4*b^6 + 84*B*a^5*b^5) + x^7*(60*A*a^3*b^7 + 105*B*a^4*b^6) + x^8*(45*A*a^2*b^8 + 120*B*a^3*b^7) + x^5*(63*A*a^5*b^5 + (105*B*a^6*b^4)/2))/x^9 + (B*b^10*x^2)/2","B"
158,1,231,216,0.374668,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^11,x)","\ln\left(x\right)\,\left(A\,b^{10}+10\,B\,a\,b^9\right)-\frac{x\,\left(\frac{B\,a^{10}}{9}+\frac{10\,A\,b\,a^9}{9}\right)+\frac{A\,a^{10}}{10}+x^2\,\left(\frac{5\,B\,a^9\,b}{4}+\frac{45\,A\,a^8\,b^2}{8}\right)+x^9\,\left(45\,B\,a^2\,b^8+10\,A\,a\,b^9\right)+x^4\,\left(20\,B\,a^7\,b^3+35\,A\,a^6\,b^4\right)+x^8\,\left(60\,B\,a^3\,b^7+\frac{45\,A\,a^2\,b^8}{2}\right)+x^7\,\left(70\,B\,a^4\,b^6+40\,A\,a^3\,b^7\right)+x^6\,\left(63\,B\,a^5\,b^5+\frac{105\,A\,a^4\,b^6}{2}\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{7}+\frac{120\,A\,a^7\,b^3}{7}\right)+x^5\,\left(42\,B\,a^6\,b^4+\frac{252\,A\,a^5\,b^5}{5}\right)}{x^{10}}+B\,b^{10}\,x","Not used",1,"log(x)*(A*b^10 + 10*B*a*b^9) - (x*((B*a^10)/9 + (10*A*a^9*b)/9) + (A*a^10)/10 + x^2*((45*A*a^8*b^2)/8 + (5*B*a^9*b)/4) + x^9*(45*B*a^2*b^8 + 10*A*a*b^9) + x^4*(35*A*a^6*b^4 + 20*B*a^7*b^3) + x^8*((45*A*a^2*b^8)/2 + 60*B*a^3*b^7) + x^7*(40*A*a^3*b^7 + 70*B*a^4*b^6) + x^6*((105*A*a^4*b^6)/2 + 63*B*a^5*b^5) + x^3*((120*A*a^7*b^3)/7 + (45*B*a^8*b^2)/7) + x^5*((252*A*a^5*b^5)/5 + 42*B*a^6*b^4))/x^10 + B*b^10*x","B"
159,1,232,153,0.406722,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^12,x)","B\,b^{10}\,\ln\left(x\right)-\frac{x\,\left(\frac{B\,a^{10}}{10}+A\,b\,a^9\right)+\frac{A\,a^{10}}{11}+x^2\,\left(\frac{10\,B\,a^9\,b}{9}+5\,A\,a^8\,b^2\right)+x^9\,\left(\frac{45\,B\,a^2\,b^8}{2}+5\,A\,a\,b^9\right)+x^{10}\,\left(A\,b^{10}+10\,B\,a\,b^9\right)+x^8\,\left(40\,B\,a^3\,b^7+15\,A\,a^2\,b^8\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{8}+15\,A\,a^7\,b^3\right)+x^5\,\left(35\,B\,a^6\,b^4+42\,A\,a^5\,b^5\right)+x^7\,\left(\frac{105\,B\,a^4\,b^6}{2}+30\,A\,a^3\,b^7\right)+x^4\,\left(\frac{120\,B\,a^7\,b^3}{7}+30\,A\,a^6\,b^4\right)+x^6\,\left(\frac{252\,B\,a^5\,b^5}{5}+42\,A\,a^4\,b^6\right)}{x^{11}}","Not used",1,"B*b^10*log(x) - (x*((B*a^10)/10 + A*a^9*b) + (A*a^10)/11 + x^2*(5*A*a^8*b^2 + (10*B*a^9*b)/9) + x^9*((45*B*a^2*b^8)/2 + 5*A*a*b^9) + x^10*(A*b^10 + 10*B*a*b^9) + x^8*(15*A*a^2*b^8 + 40*B*a^3*b^7) + x^3*(15*A*a^7*b^3 + (45*B*a^8*b^2)/8) + x^5*(42*A*a^5*b^5 + 35*B*a^6*b^4) + x^7*(30*A*a^3*b^7 + (105*B*a^4*b^6)/2) + x^4*(30*A*a^6*b^4 + (120*B*a^7*b^3)/7) + x^6*(42*A*a^4*b^6 + (252*B*a^5*b^5)/5))/x^11","B"
160,1,233,44,0.151303,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^13,x)","-\frac{x\,\left(\frac{B\,a^{10}}{11}+\frac{10\,A\,b\,a^9}{11}\right)+\frac{A\,a^{10}}{12}+x^2\,\left(B\,a^9\,b+\frac{9\,A\,a^8\,b^2}{2}\right)+x^9\,\left(15\,B\,a^2\,b^8+\frac{10\,A\,a\,b^9}{3}\right)+x^{10}\,\left(\frac{A\,b^{10}}{2}+5\,B\,a\,b^9\right)+x^3\,\left(5\,B\,a^8\,b^2+\frac{40\,A\,a^7\,b^3}{3}\right)+x^5\,\left(30\,B\,a^6\,b^4+36\,A\,a^5\,b^5\right)+x^7\,\left(42\,B\,a^4\,b^6+24\,A\,a^3\,b^7\right)+x^6\,\left(42\,B\,a^5\,b^5+35\,A\,a^4\,b^6\right)+x^8\,\left(30\,B\,a^3\,b^7+\frac{45\,A\,a^2\,b^8}{4}\right)+x^4\,\left(15\,B\,a^7\,b^3+\frac{105\,A\,a^6\,b^4}{4}\right)+B\,b^{10}\,x^{11}}{x^{12}}","Not used",1,"-(x*((B*a^10)/11 + (10*A*a^9*b)/11) + (A*a^10)/12 + x^2*((9*A*a^8*b^2)/2 + B*a^9*b) + x^9*(15*B*a^2*b^8 + (10*A*a*b^9)/3) + x^10*((A*b^10)/2 + 5*B*a*b^9) + x^3*((40*A*a^7*b^3)/3 + 5*B*a^8*b^2) + x^5*(36*A*a^5*b^5 + 30*B*a^6*b^4) + x^7*(24*A*a^3*b^7 + 42*B*a^4*b^6) + x^6*(35*A*a^4*b^6 + 42*B*a^5*b^5) + x^8*((45*A*a^2*b^8)/4 + 30*B*a^3*b^7) + x^4*((105*A*a^6*b^4)/4 + 15*B*a^7*b^3) + B*b^10*x^11)/x^12","B"
161,1,235,72,0.409583,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^14,x)","-\frac{x\,\left(\frac{B\,a^{10}}{12}+\frac{5\,A\,b\,a^9}{6}\right)+\frac{A\,a^{10}}{13}+x^9\,\left(\frac{45\,B\,a^2\,b^8}{4}+\frac{5\,A\,a\,b^9}{2}\right)+x^2\,\left(\frac{10\,B\,a^9\,b}{11}+\frac{45\,A\,a^8\,b^2}{11}\right)+x^{10}\,\left(\frac{A\,b^{10}}{3}+\frac{10\,B\,a\,b^9}{3}\right)+x^3\,\left(\frac{9\,B\,a^8\,b^2}{2}+12\,A\,a^7\,b^3\right)+x^8\,\left(24\,B\,a^3\,b^7+9\,A\,a^2\,b^8\right)+x^7\,\left(35\,B\,a^4\,b^6+20\,A\,a^3\,b^7\right)+x^6\,\left(36\,B\,a^5\,b^5+30\,A\,a^4\,b^6\right)+x^4\,\left(\frac{40\,B\,a^7\,b^3}{3}+\frac{70\,A\,a^6\,b^4}{3}\right)+x^5\,\left(\frac{105\,B\,a^6\,b^4}{4}+\frac{63\,A\,a^5\,b^5}{2}\right)+\frac{B\,b^{10}\,x^{11}}{2}}{x^{13}}","Not used",1,"-(x*((B*a^10)/12 + (5*A*a^9*b)/6) + (A*a^10)/13 + x^9*((45*B*a^2*b^8)/4 + (5*A*a*b^9)/2) + x^2*((45*A*a^8*b^2)/11 + (10*B*a^9*b)/11) + x^10*((A*b^10)/3 + (10*B*a*b^9)/3) + x^3*(12*A*a^7*b^3 + (9*B*a^8*b^2)/2) + x^8*(9*A*a^2*b^8 + 24*B*a^3*b^7) + x^7*(20*A*a^3*b^7 + 35*B*a^4*b^6) + x^6*(30*A*a^4*b^6 + 36*B*a^5*b^5) + x^4*((70*A*a^6*b^4)/3 + (40*B*a^7*b^3)/3) + x^5*((63*A*a^5*b^5)/2 + (105*B*a^6*b^4)/4) + (B*b^10*x^11)/2)/x^13","B"
162,1,235,101,0.136685,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^15,x)","-\frac{x\,\left(\frac{B\,a^{10}}{13}+\frac{10\,A\,b\,a^9}{13}\right)+\frac{A\,a^{10}}{14}+x^9\,\left(9\,B\,a^2\,b^8+2\,A\,a\,b^9\right)+x^2\,\left(\frac{5\,B\,a^9\,b}{6}+\frac{15\,A\,a^8\,b^2}{4}\right)+x^{10}\,\left(\frac{A\,b^{10}}{4}+\frac{5\,B\,a\,b^9}{2}\right)+x^4\,\left(12\,B\,a^7\,b^3+21\,A\,a^6\,b^4\right)+x^8\,\left(20\,B\,a^3\,b^7+\frac{15\,A\,a^2\,b^8}{2}\right)+x^5\,\left(\frac{70\,B\,a^6\,b^4}{3}+28\,A\,a^5\,b^5\right)+x^7\,\left(30\,B\,a^4\,b^6+\frac{120\,A\,a^3\,b^7}{7}\right)+x^6\,\left(\frac{63\,B\,a^5\,b^5}{2}+\frac{105\,A\,a^4\,b^6}{4}\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{11}+\frac{120\,A\,a^7\,b^3}{11}\right)+\frac{B\,b^{10}\,x^{11}}{3}}{x^{14}}","Not used",1,"-(x*((B*a^10)/13 + (10*A*a^9*b)/13) + (A*a^10)/14 + x^9*(9*B*a^2*b^8 + 2*A*a*b^9) + x^2*((15*A*a^8*b^2)/4 + (5*B*a^9*b)/6) + x^10*((A*b^10)/4 + (5*B*a*b^9)/2) + x^4*(21*A*a^6*b^4 + 12*B*a^7*b^3) + x^8*((15*A*a^2*b^8)/2 + 20*B*a^3*b^7) + x^5*(28*A*a^5*b^5 + (70*B*a^6*b^4)/3) + x^7*((120*A*a^3*b^7)/7 + 30*B*a^4*b^6) + x^6*((105*A*a^4*b^6)/4 + (63*B*a^5*b^5)/2) + x^3*((120*A*a^7*b^3)/11 + (45*B*a^8*b^2)/11) + (B*b^10*x^11)/3)/x^14","B"
163,1,235,130,0.134605,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^16,x)","-\frac{x\,\left(\frac{B\,a^{10}}{14}+\frac{5\,A\,b\,a^9}{7}\right)+\frac{A\,a^{10}}{15}+x^9\,\left(\frac{15\,B\,a^2\,b^8}{2}+\frac{5\,A\,a\,b^9}{3}\right)+x^2\,\left(\frac{10\,B\,a^9\,b}{13}+\frac{45\,A\,a^8\,b^2}{13}\right)+x^{10}\,\left(\frac{A\,b^{10}}{5}+2\,B\,a\,b^9\right)+x^3\,\left(\frac{15\,B\,a^8\,b^2}{4}+10\,A\,a^7\,b^3\right)+x^6\,\left(28\,B\,a^5\,b^5+\frac{70\,A\,a^4\,b^6}{3}\right)+x^7\,\left(\frac{105\,B\,a^4\,b^6}{4}+15\,A\,a^3\,b^7\right)+x^5\,\left(21\,B\,a^6\,b^4+\frac{126\,A\,a^5\,b^5}{5}\right)+x^8\,\left(\frac{120\,B\,a^3\,b^7}{7}+\frac{45\,A\,a^2\,b^8}{7}\right)+x^4\,\left(\frac{120\,B\,a^7\,b^3}{11}+\frac{210\,A\,a^6\,b^4}{11}\right)+\frac{B\,b^{10}\,x^{11}}{4}}{x^{15}}","Not used",1,"-(x*((B*a^10)/14 + (5*A*a^9*b)/7) + (A*a^10)/15 + x^9*((15*B*a^2*b^8)/2 + (5*A*a*b^9)/3) + x^2*((45*A*a^8*b^2)/13 + (10*B*a^9*b)/13) + x^10*((A*b^10)/5 + 2*B*a*b^9) + x^3*(10*A*a^7*b^3 + (15*B*a^8*b^2)/4) + x^6*((70*A*a^4*b^6)/3 + 28*B*a^5*b^5) + x^7*(15*A*a^3*b^7 + (105*B*a^4*b^6)/4) + x^5*((126*A*a^5*b^5)/5 + 21*B*a^6*b^4) + x^8*((45*A*a^2*b^8)/7 + (120*B*a^3*b^7)/7) + x^4*((210*A*a^6*b^4)/11 + (120*B*a^7*b^3)/11) + (B*b^10*x^11)/4)/x^15","B"
164,1,235,159,0.387381,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^17,x)","-\frac{x\,\left(\frac{B\,a^{10}}{15}+\frac{2\,A\,b\,a^9}{3}\right)+\frac{A\,a^{10}}{16}+x^2\,\left(\frac{5\,B\,a^9\,b}{7}+\frac{45\,A\,a^8\,b^2}{14}\right)+x^9\,\left(\frac{45\,B\,a^2\,b^8}{7}+\frac{10\,A\,a\,b^9}{7}\right)+x^{10}\,\left(\frac{A\,b^{10}}{6}+\frac{5\,B\,a\,b^9}{3}\right)+x^4\,\left(10\,B\,a^7\,b^3+\frac{35\,A\,a^6\,b^4}{2}\right)+x^8\,\left(15\,B\,a^3\,b^7+\frac{45\,A\,a^2\,b^8}{8}\right)+x^7\,\left(\frac{70\,B\,a^4\,b^6}{3}+\frac{40\,A\,a^3\,b^7}{3}\right)+x^6\,\left(\frac{126\,B\,a^5\,b^5}{5}+21\,A\,a^4\,b^6\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{13}+\frac{120\,A\,a^7\,b^3}{13}\right)+x^5\,\left(\frac{210\,B\,a^6\,b^4}{11}+\frac{252\,A\,a^5\,b^5}{11}\right)+\frac{B\,b^{10}\,x^{11}}{5}}{x^{16}}","Not used",1,"-(x*((B*a^10)/15 + (2*A*a^9*b)/3) + (A*a^10)/16 + x^2*((45*A*a^8*b^2)/14 + (5*B*a^9*b)/7) + x^9*((45*B*a^2*b^8)/7 + (10*A*a*b^9)/7) + x^10*((A*b^10)/6 + (5*B*a*b^9)/3) + x^4*((35*A*a^6*b^4)/2 + 10*B*a^7*b^3) + x^8*((45*A*a^2*b^8)/8 + 15*B*a^3*b^7) + x^7*((40*A*a^3*b^7)/3 + (70*B*a^4*b^6)/3) + x^6*(21*A*a^4*b^6 + (126*B*a^5*b^5)/5) + x^3*((120*A*a^7*b^3)/13 + (45*B*a^8*b^2)/13) + x^5*((252*A*a^5*b^5)/11 + (210*B*a^6*b^4)/11) + (B*b^10*x^11)/5)/x^16","B"
165,1,235,188,0.137265,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^18,x)","-\frac{x\,\left(\frac{B\,a^{10}}{16}+\frac{5\,A\,b\,a^9}{8}\right)+\frac{A\,a^{10}}{17}+x^2\,\left(\frac{2\,B\,a^9\,b}{3}+3\,A\,a^8\,b^2\right)+x^9\,\left(\frac{45\,B\,a^2\,b^8}{8}+\frac{5\,A\,a\,b^9}{4}\right)+x^{10}\,\left(\frac{A\,b^{10}}{7}+\frac{10\,B\,a\,b^9}{7}\right)+x^7\,\left(21\,B\,a^4\,b^6+12\,A\,a^3\,b^7\right)+x^8\,\left(\frac{40\,B\,a^3\,b^7}{3}+5\,A\,a^2\,b^8\right)+x^5\,\left(\frac{35\,B\,a^6\,b^4}{2}+21\,A\,a^5\,b^5\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{14}+\frac{60\,A\,a^7\,b^3}{7}\right)+x^4\,\left(\frac{120\,B\,a^7\,b^3}{13}+\frac{210\,A\,a^6\,b^4}{13}\right)+x^6\,\left(\frac{252\,B\,a^5\,b^5}{11}+\frac{210\,A\,a^4\,b^6}{11}\right)+\frac{B\,b^{10}\,x^{11}}{6}}{x^{17}}","Not used",1,"-(x*((B*a^10)/16 + (5*A*a^9*b)/8) + (A*a^10)/17 + x^2*(3*A*a^8*b^2 + (2*B*a^9*b)/3) + x^9*((45*B*a^2*b^8)/8 + (5*A*a*b^9)/4) + x^10*((A*b^10)/7 + (10*B*a*b^9)/7) + x^7*(12*A*a^3*b^7 + 21*B*a^4*b^6) + x^8*(5*A*a^2*b^8 + (40*B*a^3*b^7)/3) + x^5*(21*A*a^5*b^5 + (35*B*a^6*b^4)/2) + x^3*((60*A*a^7*b^3)/7 + (45*B*a^8*b^2)/14) + x^4*((210*A*a^6*b^4)/13 + (120*B*a^7*b^3)/13) + x^6*((210*A*a^4*b^6)/11 + (252*B*a^5*b^5)/11) + (B*b^10*x^11)/6)/x^17","B"
166,1,235,229,0.385959,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^19,x)","-\frac{x\,\left(\frac{B\,a^{10}}{17}+\frac{10\,A\,b\,a^9}{17}\right)+\frac{A\,a^{10}}{18}+x^9\,\left(5\,B\,a^2\,b^8+\frac{10\,A\,a\,b^9}{9}\right)+x^2\,\left(\frac{5\,B\,a^9\,b}{8}+\frac{45\,A\,a^8\,b^2}{16}\right)+x^{10}\,\left(\frac{A\,b^{10}}{8}+\frac{5\,B\,a\,b^9}{4}\right)+x^3\,\left(3\,B\,a^8\,b^2+8\,A\,a^7\,b^3\right)+x^8\,\left(12\,B\,a^3\,b^7+\frac{9\,A\,a^2\,b^8}{2}\right)+x^6\,\left(21\,B\,a^5\,b^5+\frac{35\,A\,a^4\,b^6}{2}\right)+x^4\,\left(\frac{60\,B\,a^7\,b^3}{7}+15\,A\,a^6\,b^4\right)+x^7\,\left(\frac{210\,B\,a^4\,b^6}{11}+\frac{120\,A\,a^3\,b^7}{11}\right)+x^5\,\left(\frac{210\,B\,a^6\,b^4}{13}+\frac{252\,A\,a^5\,b^5}{13}\right)+\frac{B\,b^{10}\,x^{11}}{7}}{x^{18}}","Not used",1,"-(x*((B*a^10)/17 + (10*A*a^9*b)/17) + (A*a^10)/18 + x^9*(5*B*a^2*b^8 + (10*A*a*b^9)/9) + x^2*((45*A*a^8*b^2)/16 + (5*B*a^9*b)/8) + x^10*((A*b^10)/8 + (5*B*a*b^9)/4) + x^3*(8*A*a^7*b^3 + 3*B*a^8*b^2) + x^8*((9*A*a^2*b^8)/2 + 12*B*a^3*b^7) + x^6*((35*A*a^4*b^6)/2 + 21*B*a^5*b^5) + x^4*(15*A*a^6*b^4 + (60*B*a^7*b^3)/7) + x^7*((120*A*a^3*b^7)/11 + (210*B*a^4*b^6)/11) + x^5*((252*A*a^5*b^5)/13 + (210*B*a^6*b^4)/13) + (B*b^10*x^11)/7)/x^18","B"
167,1,234,227,0.135787,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^20,x)","-\frac{x\,\left(\frac{B\,a^{10}}{18}+\frac{5\,A\,b\,a^9}{9}\right)+\frac{A\,a^{10}}{19}+x^9\,\left(\frac{9\,B\,a^2\,b^8}{2}+A\,a\,b^9\right)+x^2\,\left(\frac{10\,B\,a^9\,b}{17}+\frac{45\,A\,a^8\,b^2}{17}\right)+x^{10}\,\left(\frac{A\,b^{10}}{9}+\frac{10\,B\,a\,b^9}{9}\right)+x^4\,\left(8\,B\,a^7\,b^3+14\,A\,a^6\,b^4\right)+x^5\,\left(15\,B\,a^6\,b^4+18\,A\,a^5\,b^5\right)+x^7\,\left(\frac{35\,B\,a^4\,b^6}{2}+10\,A\,a^3\,b^7\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{16}+\frac{15\,A\,a^7\,b^3}{2}\right)+x^8\,\left(\frac{120\,B\,a^3\,b^7}{11}+\frac{45\,A\,a^2\,b^8}{11}\right)+x^6\,\left(\frac{252\,B\,a^5\,b^5}{13}+\frac{210\,A\,a^4\,b^6}{13}\right)+\frac{B\,b^{10}\,x^{11}}{8}}{x^{19}}","Not used",1,"-(x*((B*a^10)/18 + (5*A*a^9*b)/9) + (A*a^10)/19 + x^9*((9*B*a^2*b^8)/2 + A*a*b^9) + x^2*((45*A*a^8*b^2)/17 + (10*B*a^9*b)/17) + x^10*((A*b^10)/9 + (10*B*a*b^9)/9) + x^4*(14*A*a^6*b^4 + 8*B*a^7*b^3) + x^5*(18*A*a^5*b^5 + 15*B*a^6*b^4) + x^7*(10*A*a^3*b^7 + (35*B*a^4*b^6)/2) + x^3*((15*A*a^7*b^3)/2 + (45*B*a^8*b^2)/16) + x^8*((45*A*a^2*b^8)/11 + (120*B*a^3*b^7)/11) + x^6*((210*A*a^4*b^6)/13 + (252*B*a^5*b^5)/13) + (B*b^10*x^11)/8)/x^19","B"
168,1,234,229,0.134979,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/x^21,x)","-\frac{x\,\left(\frac{B\,a^{10}}{19}+\frac{10\,A\,b\,a^9}{19}\right)+\frac{A\,a^{10}}{20}+x^2\,\left(\frac{5\,B\,a^9\,b}{9}+\frac{5\,A\,a^8\,b^2}{2}\right)+x^9\,\left(\frac{45\,B\,a^2\,b^8}{11}+\frac{10\,A\,a\,b^9}{11}\right)+x^{10}\,\left(\frac{A\,b^{10}}{10}+B\,a\,b^9\right)+x^8\,\left(10\,B\,a^3\,b^7+\frac{15\,A\,a^2\,b^8}{4}\right)+x^6\,\left(18\,B\,a^5\,b^5+15\,A\,a^4\,b^6\right)+x^5\,\left(14\,B\,a^6\,b^4+\frac{84\,A\,a^5\,b^5}{5}\right)+x^4\,\left(\frac{15\,B\,a^7\,b^3}{2}+\frac{105\,A\,a^6\,b^4}{8}\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2}{17}+\frac{120\,A\,a^7\,b^3}{17}\right)+x^7\,\left(\frac{210\,B\,a^4\,b^6}{13}+\frac{120\,A\,a^3\,b^7}{13}\right)+\frac{B\,b^{10}\,x^{11}}{9}}{x^{20}}","Not used",1,"-(x*((B*a^10)/19 + (10*A*a^9*b)/19) + (A*a^10)/20 + x^2*((5*A*a^8*b^2)/2 + (5*B*a^9*b)/9) + x^9*((45*B*a^2*b^8)/11 + (10*A*a*b^9)/11) + x^10*((A*b^10)/10 + B*a*b^9) + x^8*((15*A*a^2*b^8)/4 + 10*B*a^3*b^7) + x^6*(15*A*a^4*b^6 + 18*B*a^5*b^5) + x^5*((84*A*a^5*b^5)/5 + 14*B*a^6*b^4) + x^4*((105*A*a^6*b^4)/8 + (15*B*a^7*b^3)/2) + x^3*((120*A*a^7*b^3)/17 + (45*B*a^8*b^2)/17) + x^7*((120*A*a^3*b^7)/13 + (210*B*a^4*b^6)/13) + (B*b^10*x^11)/9)/x^20","B"
169,1,331,114,0.325690,"\text{Not used}","int(x^3*(a + b*x)*(c + d*x)^16,x)","x^5\,\left(\frac{b\,c^{16}}{5}+\frac{16\,a\,d\,c^{15}}{5}\right)+x^{20}\,\left(\frac{a\,d^{16}}{20}+\frac{4\,b\,c\,d^{15}}{5}\right)+\frac{a\,c^{16}\,x^4}{4}+\frac{b\,d^{16}\,x^{21}}{21}+\frac{4\,c^{14}\,d\,x^6\,\left(15\,a\,d+2\,b\,c\right)}{3}+\frac{8\,c\,d^{14}\,x^{19}\,\left(2\,a\,d+15\,b\,c\right)}{19}+\frac{40\,c^{13}\,d^2\,x^7\,\left(14\,a\,d+3\,b\,c\right)}{7}+\frac{35\,c^{12}\,d^3\,x^8\,\left(13\,a\,d+4\,b\,c\right)}{2}+\frac{364\,c^{11}\,d^4\,x^9\,\left(12\,a\,d+5\,b\,c\right)}{9}+\frac{364\,c^{10}\,d^5\,x^{10}\,\left(11\,a\,d+6\,b\,c\right)}{5}+104\,c^9\,d^6\,x^{11}\,\left(10\,a\,d+7\,b\,c\right)+\frac{715\,c^8\,d^7\,x^{12}\,\left(9\,a\,d+8\,b\,c\right)}{6}+110\,c^7\,d^8\,x^{13}\,\left(8\,a\,d+9\,b\,c\right)+\frac{572\,c^6\,d^9\,x^{14}\,\left(7\,a\,d+10\,b\,c\right)}{7}+\frac{728\,c^5\,d^{10}\,x^{15}\,\left(6\,a\,d+11\,b\,c\right)}{15}+\frac{91\,c^4\,d^{11}\,x^{16}\,\left(5\,a\,d+12\,b\,c\right)}{4}+\frac{140\,c^3\,d^{12}\,x^{17}\,\left(4\,a\,d+13\,b\,c\right)}{17}+\frac{20\,c^2\,d^{13}\,x^{18}\,\left(3\,a\,d+14\,b\,c\right)}{9}","Not used",1,"x^5*((b*c^16)/5 + (16*a*c^15*d)/5) + x^20*((a*d^16)/20 + (4*b*c*d^15)/5) + (a*c^16*x^4)/4 + (b*d^16*x^21)/21 + (4*c^14*d*x^6*(15*a*d + 2*b*c))/3 + (8*c*d^14*x^19*(2*a*d + 15*b*c))/19 + (40*c^13*d^2*x^7*(14*a*d + 3*b*c))/7 + (35*c^12*d^3*x^8*(13*a*d + 4*b*c))/2 + (364*c^11*d^4*x^9*(12*a*d + 5*b*c))/9 + (364*c^10*d^5*x^10*(11*a*d + 6*b*c))/5 + 104*c^9*d^6*x^11*(10*a*d + 7*b*c) + (715*c^8*d^7*x^12*(9*a*d + 8*b*c))/6 + 110*c^7*d^8*x^13*(8*a*d + 9*b*c) + (572*c^6*d^9*x^14*(7*a*d + 10*b*c))/7 + (728*c^5*d^10*x^15*(6*a*d + 11*b*c))/15 + (91*c^4*d^11*x^16*(5*a*d + 12*b*c))/4 + (140*c^3*d^12*x^17*(4*a*d + 13*b*c))/17 + (20*c^2*d^13*x^18*(3*a*d + 14*b*c))/9","B"
170,1,331,88,0.538590,"\text{Not used}","int(x^2*(a + b*x)*(c + d*x)^16,x)","x^4\,\left(\frac{b\,c^{16}}{4}+4\,a\,d\,c^{15}\right)+x^{19}\,\left(\frac{a\,d^{16}}{19}+\frac{16\,b\,c\,d^{15}}{19}\right)+\frac{a\,c^{16}\,x^3}{3}+\frac{b\,d^{16}\,x^{20}}{20}+\frac{8\,c^{14}\,d\,x^5\,\left(15\,a\,d+2\,b\,c\right)}{5}+\frac{4\,c\,d^{14}\,x^{18}\,\left(2\,a\,d+15\,b\,c\right)}{9}+\frac{20\,c^{13}\,d^2\,x^6\,\left(14\,a\,d+3\,b\,c\right)}{3}+20\,c^{12}\,d^3\,x^7\,\left(13\,a\,d+4\,b\,c\right)+\frac{91\,c^{11}\,d^4\,x^8\,\left(12\,a\,d+5\,b\,c\right)}{2}+\frac{728\,c^{10}\,d^5\,x^9\,\left(11\,a\,d+6\,b\,c\right)}{9}+\frac{572\,c^9\,d^6\,x^{10}\,\left(10\,a\,d+7\,b\,c\right)}{5}+130\,c^8\,d^7\,x^{11}\,\left(9\,a\,d+8\,b\,c\right)+\frac{715\,c^7\,d^8\,x^{12}\,\left(8\,a\,d+9\,b\,c\right)}{6}+88\,c^6\,d^9\,x^{13}\,\left(7\,a\,d+10\,b\,c\right)+52\,c^5\,d^{10}\,x^{14}\,\left(6\,a\,d+11\,b\,c\right)+\frac{364\,c^4\,d^{11}\,x^{15}\,\left(5\,a\,d+12\,b\,c\right)}{15}+\frac{35\,c^3\,d^{12}\,x^{16}\,\left(4\,a\,d+13\,b\,c\right)}{4}+\frac{40\,c^2\,d^{13}\,x^{17}\,\left(3\,a\,d+14\,b\,c\right)}{17}","Not used",1,"x^4*((b*c^16)/4 + 4*a*c^15*d) + x^19*((a*d^16)/19 + (16*b*c*d^15)/19) + (a*c^16*x^3)/3 + (b*d^16*x^20)/20 + (8*c^14*d*x^5*(15*a*d + 2*b*c))/5 + (4*c*d^14*x^18*(2*a*d + 15*b*c))/9 + (20*c^13*d^2*x^6*(14*a*d + 3*b*c))/3 + 20*c^12*d^3*x^7*(13*a*d + 4*b*c) + (91*c^11*d^4*x^8*(12*a*d + 5*b*c))/2 + (728*c^10*d^5*x^9*(11*a*d + 6*b*c))/9 + (572*c^9*d^6*x^10*(10*a*d + 7*b*c))/5 + 130*c^8*d^7*x^11*(9*a*d + 8*b*c) + (715*c^7*d^8*x^12*(8*a*d + 9*b*c))/6 + 88*c^6*d^9*x^13*(7*a*d + 10*b*c) + 52*c^5*d^10*x^14*(6*a*d + 11*b*c) + (364*c^4*d^11*x^15*(5*a*d + 12*b*c))/15 + (35*c^3*d^12*x^16*(4*a*d + 13*b*c))/4 + (40*c^2*d^13*x^17*(3*a*d + 14*b*c))/17","B"
171,1,331,62,0.281706,"\text{Not used}","int(x*(a + b*x)*(c + d*x)^16,x)","x^3\,\left(\frac{b\,c^{16}}{3}+\frac{16\,a\,d\,c^{15}}{3}\right)+x^{18}\,\left(\frac{a\,d^{16}}{18}+\frac{8\,b\,c\,d^{15}}{9}\right)+\frac{a\,c^{16}\,x^2}{2}+\frac{b\,d^{16}\,x^{19}}{19}+2\,c^{14}\,d\,x^4\,\left(15\,a\,d+2\,b\,c\right)+\frac{8\,c\,d^{14}\,x^{17}\,\left(2\,a\,d+15\,b\,c\right)}{17}+8\,c^{13}\,d^2\,x^5\,\left(14\,a\,d+3\,b\,c\right)+\frac{70\,c^{12}\,d^3\,x^6\,\left(13\,a\,d+4\,b\,c\right)}{3}+52\,c^{11}\,d^4\,x^7\,\left(12\,a\,d+5\,b\,c\right)+91\,c^{10}\,d^5\,x^8\,\left(11\,a\,d+6\,b\,c\right)+\frac{1144\,c^9\,d^6\,x^9\,\left(10\,a\,d+7\,b\,c\right)}{9}+143\,c^8\,d^7\,x^{10}\,\left(9\,a\,d+8\,b\,c\right)+130\,c^7\,d^8\,x^{11}\,\left(8\,a\,d+9\,b\,c\right)+\frac{286\,c^6\,d^9\,x^{12}\,\left(7\,a\,d+10\,b\,c\right)}{3}+56\,c^5\,d^{10}\,x^{13}\,\left(6\,a\,d+11\,b\,c\right)+26\,c^4\,d^{11}\,x^{14}\,\left(5\,a\,d+12\,b\,c\right)+\frac{28\,c^3\,d^{12}\,x^{15}\,\left(4\,a\,d+13\,b\,c\right)}{3}+\frac{5\,c^2\,d^{13}\,x^{16}\,\left(3\,a\,d+14\,b\,c\right)}{2}","Not used",1,"x^3*((b*c^16)/3 + (16*a*c^15*d)/3) + x^18*((a*d^16)/18 + (8*b*c*d^15)/9) + (a*c^16*x^2)/2 + (b*d^16*x^19)/19 + 2*c^14*d*x^4*(15*a*d + 2*b*c) + (8*c*d^14*x^17*(2*a*d + 15*b*c))/17 + 8*c^13*d^2*x^5*(14*a*d + 3*b*c) + (70*c^12*d^3*x^6*(13*a*d + 4*b*c))/3 + 52*c^11*d^4*x^7*(12*a*d + 5*b*c) + 91*c^10*d^5*x^8*(11*a*d + 6*b*c) + (1144*c^9*d^6*x^9*(10*a*d + 7*b*c))/9 + 143*c^8*d^7*x^10*(9*a*d + 8*b*c) + 130*c^7*d^8*x^11*(8*a*d + 9*b*c) + (286*c^6*d^9*x^12*(7*a*d + 10*b*c))/3 + 56*c^5*d^10*x^13*(6*a*d + 11*b*c) + 26*c^4*d^11*x^14*(5*a*d + 12*b*c) + (28*c^3*d^12*x^15*(4*a*d + 13*b*c))/3 + (5*c^2*d^13*x^16*(3*a*d + 14*b*c))/2","B"
172,1,328,38,0.548853,"\text{Not used}","int((a + b*x)*(c + d*x)^16,x)","x^2\,\left(\frac{b\,c^{16}}{2}+8\,a\,d\,c^{15}\right)+x^{17}\,\left(\frac{a\,d^{16}}{17}+\frac{16\,b\,c\,d^{15}}{17}\right)+\frac{b\,d^{16}\,x^{18}}{18}+a\,c^{16}\,x+\frac{8\,c^{14}\,d\,x^3\,\left(15\,a\,d+2\,b\,c\right)}{3}+\frac{c\,d^{14}\,x^{16}\,\left(2\,a\,d+15\,b\,c\right)}{2}+10\,c^{13}\,d^2\,x^4\,\left(14\,a\,d+3\,b\,c\right)+28\,c^{12}\,d^3\,x^5\,\left(13\,a\,d+4\,b\,c\right)+\frac{182\,c^{11}\,d^4\,x^6\,\left(12\,a\,d+5\,b\,c\right)}{3}+104\,c^{10}\,d^5\,x^7\,\left(11\,a\,d+6\,b\,c\right)+143\,c^9\,d^6\,x^8\,\left(10\,a\,d+7\,b\,c\right)+\frac{1430\,c^8\,d^7\,x^9\,\left(9\,a\,d+8\,b\,c\right)}{9}+143\,c^7\,d^8\,x^{10}\,\left(8\,a\,d+9\,b\,c\right)+104\,c^6\,d^9\,x^{11}\,\left(7\,a\,d+10\,b\,c\right)+\frac{182\,c^5\,d^{10}\,x^{12}\,\left(6\,a\,d+11\,b\,c\right)}{3}+28\,c^4\,d^{11}\,x^{13}\,\left(5\,a\,d+12\,b\,c\right)+10\,c^3\,d^{12}\,x^{14}\,\left(4\,a\,d+13\,b\,c\right)+\frac{8\,c^2\,d^{13}\,x^{15}\,\left(3\,a\,d+14\,b\,c\right)}{3}","Not used",1,"x^2*((b*c^16)/2 + 8*a*c^15*d) + x^17*((a*d^16)/17 + (16*b*c*d^15)/17) + (b*d^16*x^18)/18 + a*c^16*x + (8*c^14*d*x^3*(15*a*d + 2*b*c))/3 + (c*d^14*x^16*(2*a*d + 15*b*c))/2 + 10*c^13*d^2*x^4*(14*a*d + 3*b*c) + 28*c^12*d^3*x^5*(13*a*d + 4*b*c) + (182*c^11*d^4*x^6*(12*a*d + 5*b*c))/3 + 104*c^10*d^5*x^7*(11*a*d + 6*b*c) + 143*c^9*d^6*x^8*(10*a*d + 7*b*c) + (1430*c^8*d^7*x^9*(9*a*d + 8*b*c))/9 + 143*c^7*d^8*x^10*(8*a*d + 9*b*c) + 104*c^6*d^9*x^11*(7*a*d + 10*b*c) + (182*c^5*d^10*x^12*(6*a*d + 11*b*c))/3 + 28*c^4*d^11*x^13*(5*a*d + 12*b*c) + 10*c^3*d^12*x^14*(4*a*d + 13*b*c) + (8*c^2*d^13*x^15*(3*a*d + 14*b*c))/3","B"
173,1,36,12,0.030093,"\text{Not used}","int(x^2*(3*x + 2)*(x + 2)^5,x)","\frac{x^9}{3}+4\,x^8+20\,x^7+\frac{160\,x^6}{3}+80\,x^5+64\,x^4+\frac{64\,x^3}{3}","Not used",1,"(64*x^3)/3 + 64*x^4 + 80*x^5 + (160*x^6)/3 + 20*x^7 + 4*x^8 + x^9/3","B"
174,1,120,108,0.044957,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x),x)","x^4\,\left(\frac{A}{4\,b}-\frac{B\,a}{4\,b^2}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^5-A\,a^4\,b\right)}{b^6}+\frac{B\,x^5}{5\,b}+\frac{a^2\,x^2\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{2\,b^2}-\frac{a\,x^3\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{3\,b}-\frac{a^3\,x\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{b^3}","Not used",1,"x^4*(A/(4*b) - (B*a)/(4*b^2)) - (log(a + b*x)*(B*a^5 - A*a^4*b))/b^6 + (B*x^5)/(5*b) + (a^2*x^2*(A/b - (B*a)/b^2))/(2*b^2) - (a*x^3*(A/b - (B*a)/b^2))/(3*b) - (a^3*x*(A/b - (B*a)/b^2))/b^3","B"
175,1,94,87,0.292082,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x),x)","x^3\,\left(\frac{A}{3\,b}-\frac{B\,a}{3\,b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4-A\,a^3\,b\right)}{b^5}+\frac{B\,x^4}{4\,b}-\frac{a\,x^2\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{2\,b}+\frac{a^2\,x\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{b^2}","Not used",1,"x^3*(A/(3*b) - (B*a)/(3*b^2)) + (log(a + b*x)*(B*a^4 - A*a^3*b))/b^5 + (B*x^4)/(4*b) - (a*x^2*(A/b - (B*a)/b^2))/(2*b) + (a^2*x*(A/b - (B*a)/b^2))/b^2","B"
176,1,72,66,0.297148,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x),x)","x^2\,\left(\frac{A}{2\,b}-\frac{B\,a}{2\,b^2}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^3-A\,a^2\,b\right)}{b^4}+\frac{B\,x^3}{3\,b}-\frac{a\,x\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{b}","Not used",1,"x^2*(A/(2*b) - (B*a)/(2*b^2)) - (log(a + b*x)*(B*a^3 - A*a^2*b))/b^4 + (B*x^3)/(3*b) - (a*x*(A/b - (B*a)/b^2))/b","B"
177,1,46,45,0.058480,"\text{Not used}","int((x*(A + B*x))/(a + b*x),x)","x\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)+\frac{B\,x^2}{2\,b}+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2-A\,a\,b\right)}{b^3}","Not used",1,"x*(A/b - (B*a)/b^2) + (B*x^2)/(2*b) + (log(a + b*x)*(B*a^2 - A*a*b))/b^3","B"
178,1,25,25,0.044839,"\text{Not used}","int((A + B*x)/(a + b*x),x)","\frac{B\,x}{b}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-B\,a\right)}{b^2}","Not used",1,"(B*x)/b + (log(a + b*x)*(A*b - B*a))/b^2","B"
179,1,28,30,0.115224,"\text{Not used}","int((A + B*x)/(x*(a + b*x)),x)","\frac{A\,\ln\left(x\right)}{a}-\ln\left(a+b\,x\right)\,\left(\frac{A}{a}-\frac{B}{b}\right)","Not used",1,"(A*log(x))/a - log(a + b*x)*(A/a - B/b)","B"
180,1,33,43,0.094665,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x)),x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)\,\left(A\,b-B\,a\right)}{a^2}-\frac{A}{a\,x}","Not used",1,"(2*atanh((2*b*x)/a + 1)*(A*b - B*a))/a^2 - A/(a*x)","B"
181,1,74,62,0.359594,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x)),x)","-\frac{\frac{A}{2\,a}-\frac{x\,\left(A\,b-B\,a\right)}{a^2}}{x^2}-\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,\left(A\,b-B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(A\,b^2-B\,a\,b\right)}\right)\,\left(A\,b-B\,a\right)}{a^3}","Not used",1,"- (A/(2*a) - (x*(A*b - B*a))/a^2)/x^2 - (2*b*atanh((b*(A*b - B*a)*(a + 2*b*x))/(a*(A*b^2 - B*a*b)))*(A*b - B*a))/a^3","B"
182,1,96,86,0.088720,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x)),x)","\frac{2\,b^2\,\mathrm{atanh}\left(\frac{b^2\,\left(A\,b-B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(A\,b^3-B\,a\,b^2\right)}\right)\,\left(A\,b-B\,a\right)}{a^4}-\frac{\frac{A}{3\,a}-\frac{x\,\left(A\,b-B\,a\right)}{2\,a^2}+\frac{b\,x^2\,\left(A\,b-B\,a\right)}{a^3}}{x^3}","Not used",1,"(2*b^2*atanh((b^2*(A*b - B*a)*(a + 2*b*x))/(a*(A*b^3 - B*a*b^2)))*(A*b - B*a))/a^4 - (A/(3*a) - (x*(A*b - B*a))/(2*a^2) + (b*x^2*(A*b - B*a))/a^3)/x^3","B"
183,1,116,106,0.349139,"\text{Not used}","int((A + B*x)/(x^5*(a + b*x)),x)","-\frac{\frac{A}{4\,a}-\frac{x\,\left(A\,b-B\,a\right)}{3\,a^2}-\frac{b^2\,x^3\,\left(A\,b-B\,a\right)}{a^4}+\frac{b\,x^2\,\left(A\,b-B\,a\right)}{2\,a^3}}{x^4}-\frac{2\,b^3\,\mathrm{atanh}\left(\frac{b^3\,\left(A\,b-B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(A\,b^4-B\,a\,b^3\right)}\right)\,\left(A\,b-B\,a\right)}{a^5}","Not used",1,"- (A/(4*a) - (x*(A*b - B*a))/(3*a^2) - (b^2*x^3*(A*b - B*a))/a^4 + (b*x^2*(A*b - B*a))/(2*a^3))/x^4 - (2*b^3*atanh((b^3*(A*b - B*a)*(a + 2*b*x))/(a*(A*b^4 - B*a*b^3)))*(A*b - B*a))/a^5","B"
184,1,173,113,0.322135,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x)^2,x)","x\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{A}{b^2}-\frac{2\,B\,a}{b^3}\right)}{b}+\frac{B\,a^2}{b^4}\right)}{b}-\frac{a^2\,\left(\frac{A}{b^2}-\frac{2\,B\,a}{b^3}\right)}{b^2}\right)+x^3\,\left(\frac{A}{3\,b^2}-\frac{2\,B\,a}{3\,b^3}\right)-x^2\,\left(\frac{a\,\left(\frac{A}{b^2}-\frac{2\,B\,a}{b^3}\right)}{b}+\frac{B\,a^2}{2\,b^4}\right)+\frac{\ln\left(a+b\,x\right)\,\left(5\,B\,a^4-4\,A\,a^3\,b\right)}{b^6}+\frac{B\,x^4}{4\,b^2}+\frac{B\,a^5-A\,a^4\,b}{b\,\left(x\,b^6+a\,b^5\right)}","Not used",1,"x*((2*a*((2*a*(A/b^2 - (2*B*a)/b^3))/b + (B*a^2)/b^4))/b - (a^2*(A/b^2 - (2*B*a)/b^3))/b^2) + x^3*(A/(3*b^2) - (2*B*a)/(3*b^3)) - x^2*((a*(A/b^2 - (2*B*a)/b^3))/b + (B*a^2)/(2*b^4)) + (log(a + b*x)*(5*B*a^4 - 4*A*a^3*b))/b^6 + (B*x^4)/(4*b^2) + (B*a^5 - A*a^4*b)/(b*(a*b^5 + b^6*x))","B"
185,1,115,90,0.052065,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x)^2,x)","x^2\,\left(\frac{A}{2\,b^2}-\frac{B\,a}{b^3}\right)-x\,\left(\frac{2\,a\,\left(\frac{A}{b^2}-\frac{2\,B\,a}{b^3}\right)}{b}+\frac{B\,a^2}{b^4}\right)-\frac{\ln\left(a+b\,x\right)\,\left(4\,B\,a^3-3\,A\,a^2\,b\right)}{b^5}+\frac{B\,x^3}{3\,b^2}-\frac{B\,a^4-A\,a^3\,b}{b\,\left(x\,b^5+a\,b^4\right)}","Not used",1,"x^2*(A/(2*b^2) - (B*a)/b^3) - x*((2*a*(A/b^2 - (2*B*a)/b^3))/b + (B*a^2)/b^4) - (log(a + b*x)*(4*B*a^3 - 3*A*a^2*b))/b^5 + (B*x^3)/(3*b^2) - (B*a^4 - A*a^3*b)/(b*(a*b^4 + b^5*x))","B"
186,1,77,69,0.325211,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x)^2,x)","x\,\left(\frac{A}{b^2}-\frac{2\,B\,a}{b^3}\right)+\frac{B\,x^2}{2\,b^2}+\frac{B\,a^3-A\,a^2\,b}{b\,\left(x\,b^4+a\,b^3\right)}+\frac{\ln\left(a+b\,x\right)\,\left(3\,B\,a^2-2\,A\,a\,b\right)}{b^4}","Not used",1,"x*(A/b^2 - (2*B*a)/b^3) + (B*x^2)/(2*b^2) + (B*a^3 - A*a^2*b)/(b*(a*b^3 + b^4*x)) + (log(a + b*x)*(3*B*a^2 - 2*A*a*b))/b^4","B"
187,1,54,45,0.312367,"\text{Not used}","int((x*(A + B*x))/(a + b*x)^2,x)","\frac{B\,x}{b^2}-\frac{B\,a^2-A\,a\,b}{b\,\left(x\,b^3+a\,b^2\right)}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-2\,B\,a\right)}{b^3}","Not used",1,"(B*x)/b^2 - (B*a^2 - A*a*b)/(b*(a*b^2 + b^3*x)) + (log(a + b*x)*(A*b - 2*B*a))/b^3","B"
188,1,32,32,0.043943,"\text{Not used}","int((A + B*x)/(a + b*x)^2,x)","\frac{B\,\ln\left(a+b\,x\right)}{b^2}-\frac{A\,b-B\,a}{b^2\,\left(a+b\,x\right)}","Not used",1,"(B*log(a + b*x))/b^2 - (A*b - B*a)/(b^2*(a + b*x))","B"
189,1,39,42,0.061916,"\text{Not used}","int((A + B*x)/(x*(a + b*x)^2),x)","\frac{A\,b-B\,a}{a\,b\,\left(a+b\,x\right)}-\frac{2\,A\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^2}","Not used",1,"(A*b - B*a)/(a*b*(a + b*x)) - (2*A*atanh((2*b*x)/a + 1))/a^2","B"
190,1,58,65,0.346083,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x)^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)\,\left(2\,A\,b-B\,a\right)}{a^3}-\frac{\frac{A}{a}+\frac{x\,\left(2\,A\,b-B\,a\right)}{a^2}}{b\,x^2+a\,x}","Not used",1,"(2*atanh((2*b*x)/a + 1)*(2*A*b - B*a))/a^3 - (A/a + (x*(2*A*b - B*a))/a^2)/(a*x + b*x^2)","B"
191,1,104,85,0.102136,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x)^2),x)","\frac{\frac{x\,\left(3\,A\,b-2\,B\,a\right)}{2\,a^2}-\frac{A}{2\,a}+\frac{b\,x^2\,\left(3\,A\,b-2\,B\,a\right)}{a^3}}{b\,x^3+a\,x^2}-\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,\left(3\,A\,b-2\,B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(3\,A\,b^2-2\,B\,a\,b\right)}\right)\,\left(3\,A\,b-2\,B\,a\right)}{a^4}","Not used",1,"((x*(3*A*b - 2*B*a))/(2*a^2) - A/(2*a) + (b*x^2*(3*A*b - 2*B*a))/a^3)/(a*x^2 + b*x^3) - (2*b*atanh((b*(3*A*b - 2*B*a)*(a + 2*b*x))/(a*(3*A*b^2 - 2*B*a*b)))*(3*A*b - 2*B*a))/a^4","B"
192,1,131,113,0.377847,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x)^2),x)","\frac{2\,b^2\,\mathrm{atanh}\left(\frac{b^2\,\left(4\,A\,b-3\,B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(4\,A\,b^3-3\,B\,a\,b^2\right)}\right)\,\left(4\,A\,b-3\,B\,a\right)}{a^5}-\frac{\frac{A}{3\,a}-\frac{x\,\left(4\,A\,b-3\,B\,a\right)}{6\,a^2}+\frac{b^2\,x^3\,\left(4\,A\,b-3\,B\,a\right)}{a^4}+\frac{b\,x^2\,\left(4\,A\,b-3\,B\,a\right)}{2\,a^3}}{b\,x^4+a\,x^3}","Not used",1,"(2*b^2*atanh((b^2*(4*A*b - 3*B*a)*(a + 2*b*x))/(a*(4*A*b^3 - 3*B*a*b^2)))*(4*A*b - 3*B*a))/a^5 - (A/(3*a) - (x*(4*A*b - 3*B*a))/(6*a^2) + (b^2*x^3*(4*A*b - 3*B*a))/a^4 + (b*x^2*(4*A*b - 3*B*a))/(2*a^3))/(a*x^3 + b*x^4)","B"
193,1,147,116,0.073006,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x)^3,x)","x^2\,\left(\frac{A}{2\,b^3}-\frac{3\,B\,a}{2\,b^4}\right)-x\,\left(\frac{3\,a\,\left(\frac{A}{b^3}-\frac{3\,B\,a}{b^4}\right)}{b}+\frac{3\,B\,a^2}{b^5}\right)-\frac{x\,\left(5\,B\,a^4-4\,A\,a^3\,b\right)+\frac{9\,B\,a^5-7\,A\,a^4\,b}{2\,b}}{a^2\,b^5+2\,a\,b^6\,x+b^7\,x^2}-\frac{\ln\left(a+b\,x\right)\,\left(10\,B\,a^3-6\,A\,a^2\,b\right)}{b^6}+\frac{B\,x^3}{3\,b^3}","Not used",1,"x^2*(A/(2*b^3) - (3*B*a)/(2*b^4)) - x*((3*a*(A/b^3 - (3*B*a)/b^4))/b + (3*B*a^2)/b^5) - (x*(5*B*a^4 - 4*A*a^3*b) + (9*B*a^5 - 7*A*a^4*b)/(2*b))/(a^2*b^5 + b^7*x^2 + 2*a*b^6*x) - (log(a + b*x)*(10*B*a^3 - 6*A*a^2*b))/b^6 + (B*x^3)/(3*b^3)","B"
194,1,108,94,0.072732,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x)^3,x)","\frac{x\,\left(4\,B\,a^3-3\,A\,a^2\,b\right)+\frac{7\,B\,a^4-5\,A\,a^3\,b}{2\,b}}{a^2\,b^4+2\,a\,b^5\,x+b^6\,x^2}+x\,\left(\frac{A}{b^3}-\frac{3\,B\,a}{b^4}\right)+\frac{B\,x^2}{2\,b^3}+\frac{\ln\left(a+b\,x\right)\,\left(6\,B\,a^2-3\,A\,a\,b\right)}{b^5}","Not used",1,"(x*(4*B*a^3 - 3*A*a^2*b) + (7*B*a^4 - 5*A*a^3*b)/(2*b))/(a^2*b^4 + b^6*x^2 + 2*a*b^5*x) + x*(A/b^3 - (3*B*a)/b^4) + (B*x^2)/(2*b^3) + (log(a + b*x)*(6*B*a^2 - 3*A*a*b))/b^5","B"
195,1,85,71,0.332735,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x)^3,x)","\frac{B\,x}{b^3}-\frac{\frac{5\,B\,a^3-3\,A\,a^2\,b}{2\,b}+x\,\left(3\,B\,a^2-2\,A\,a\,b\right)}{a^2\,b^3+2\,a\,b^4\,x+b^5\,x^2}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-3\,B\,a\right)}{b^4}","Not used",1,"(B*x)/b^3 - ((5*B*a^3 - 3*A*a^2*b)/(2*b) + x*(3*B*a^2 - 2*A*a*b))/(a^2*b^3 + b^5*x^2 + 2*a*b^4*x) + (log(a + b*x)*(A*b - 3*B*a))/b^4","B"
196,1,63,55,0.312681,"\text{Not used}","int((x*(A + B*x))/(a + b*x)^3,x)","\frac{\frac{3\,B\,a^2-A\,a\,b}{2\,b^3}-\frac{x\,\left(A\,b-2\,B\,a\right)}{b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{B\,\ln\left(a+b\,x\right)}{b^3}","Not used",1,"((3*B*a^2 - A*a*b)/(2*b^3) - (x*(A*b - 2*B*a))/b^2)/(a^2 + b^2*x^2 + 2*a*b*x) + (B*log(a + b*x))/b^3","B"
197,1,39,28,0.281356,"\text{Not used}","int((A + B*x)/(a + b*x)^3,x)","-\frac{\frac{A\,b+B\,a}{2\,b^2}+\frac{B\,x}{b}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"-((A*b + B*a)/(2*b^2) + (B*x)/b)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
198,1,61,57,0.319239,"\text{Not used}","int((A + B*x)/(x*(a + b*x)^3),x)","\frac{\frac{3\,A\,b-B\,a}{2\,a\,b}+\frac{A\,b\,x}{a^2}}{a^2+2\,a\,b\,x+b^2\,x^2}-\frac{2\,A\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^3}","Not used",1,"((3*A*b - B*a)/(2*a*b) + (A*b*x)/a^2)/(a^2 + b^2*x^2 + 2*a*b*x) - (2*A*atanh((2*b*x)/a + 1))/a^3","B"
199,1,87,88,0.099693,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x)^3),x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)\,\left(3\,A\,b-B\,a\right)}{a^4}-\frac{\frac{A}{a}+\frac{3\,x\,\left(3\,A\,b-B\,a\right)}{2\,a^2}+\frac{b\,x^2\,\left(3\,A\,b-B\,a\right)}{a^3}}{a^2\,x+2\,a\,b\,x^2+b^2\,x^3}","Not used",1,"(2*atanh((2*b*x)/a + 1)*(3*A*b - B*a))/a^4 - (A/a + (3*x*(3*A*b - B*a))/(2*a^2) + (b*x^2*(3*A*b - B*a))/a^3)/(a^2*x + b^2*x^3 + 2*a*b*x^2)","B"
200,1,136,110,0.117170,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x)^3),x)","\frac{\frac{x\,\left(2\,A\,b-B\,a\right)}{a^2}-\frac{A}{2\,a}+\frac{3\,b^2\,x^3\,\left(2\,A\,b-B\,a\right)}{a^4}+\frac{9\,b\,x^2\,\left(2\,A\,b-B\,a\right)}{2\,a^3}}{a^2\,x^2+2\,a\,b\,x^3+b^2\,x^4}-\frac{6\,b\,\mathrm{atanh}\left(\frac{3\,b\,\left(2\,A\,b-B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(6\,A\,b^2-3\,B\,a\,b\right)}\right)\,\left(2\,A\,b-B\,a\right)}{a^5}","Not used",1,"((x*(2*A*b - B*a))/a^2 - A/(2*a) + (3*b^2*x^3*(2*A*b - B*a))/a^4 + (9*b*x^2*(2*A*b - B*a))/(2*a^3))/(a^2*x^2 + b^2*x^4 + 2*a*b*x^3) - (6*b*atanh((3*b*(2*A*b - B*a)*(a + 2*b*x))/(a*(6*A*b^2 - 3*B*a*b)))*(2*A*b - B*a))/a^5","B"
201,1,164,140,0.382353,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x)^3),x)","\frac{4\,b^2\,\mathrm{atanh}\left(\frac{2\,b^2\,\left(5\,A\,b-3\,B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(10\,A\,b^3-6\,B\,a\,b^2\right)}\right)\,\left(5\,A\,b-3\,B\,a\right)}{a^6}-\frac{\frac{A}{3\,a}-\frac{x\,\left(5\,A\,b-3\,B\,a\right)}{6\,a^2}+\frac{3\,b^2\,x^3\,\left(5\,A\,b-3\,B\,a\right)}{a^4}+\frac{2\,b^3\,x^4\,\left(5\,A\,b-3\,B\,a\right)}{a^5}+\frac{2\,b\,x^2\,\left(5\,A\,b-3\,B\,a\right)}{3\,a^3}}{a^2\,x^3+2\,a\,b\,x^4+b^2\,x^5}","Not used",1,"(4*b^2*atanh((2*b^2*(5*A*b - 3*B*a)*(a + 2*b*x))/(a*(10*A*b^3 - 6*B*a*b^2)))*(5*A*b - 3*B*a))/a^6 - (A/(3*a) - (x*(5*A*b - 3*B*a))/(6*a^2) + (3*b^2*x^3*(5*A*b - 3*B*a))/a^4 + (2*b^3*x^4*(5*A*b - 3*B*a))/a^5 + (2*b*x^2*(5*A*b - 3*B*a))/(3*a^3))/(a^2*x^3 + b^2*x^5 + 2*a*b*x^4)","B"
202,1,557,177,0.440094,"\text{Not used}","int(x^3*(a + b*x)^2*(c + d*x)^16,x)","x^6\,\left(20\,a^2\,c^{14}\,d^2+\frac{16\,a\,b\,c^{15}\,d}{3}+\frac{b^2\,c^{16}}{6}\right)+x^{20}\,\left(\frac{a^2\,d^{16}}{20}+\frac{8\,a\,b\,c\,d^{15}}{5}+6\,b^2\,c^2\,d^{14}\right)+\frac{a^2\,c^{16}\,x^4}{4}+\frac{b^2\,d^{16}\,x^{22}}{22}+\frac{2\,a\,c^{15}\,x^5\,\left(8\,a\,d+b\,c\right)}{5}+\frac{2\,b\,d^{15}\,x^{21}\,\left(a\,d+8\,b\,c\right)}{21}+\frac{16\,c^{13}\,d\,x^7\,\left(35\,a^2\,d^2+15\,a\,b\,c\,d+b^2\,c^2\right)}{7}+\frac{16\,c\,d^{13}\,x^{19}\,\left(a^2\,d^2+15\,a\,b\,c\,d+35\,b^2\,c^2\right)}{19}+220\,c^7\,d^7\,x^{13}\,\left(4\,a^2\,d^2+9\,a\,b\,c\,d+4\,b^2\,c^2\right)+\frac{182\,c^{10}\,d^4\,x^{10}\,\left(22\,a^2\,d^2+24\,a\,b\,c\,d+5\,b^2\,c^2\right)}{5}+\frac{91\,c^4\,d^{10}\,x^{16}\,\left(5\,a^2\,d^2+24\,a\,b\,c\,d+22\,b^2\,c^2\right)}{4}+\frac{5\,c^{12}\,d^2\,x^8\,\left(91\,a^2\,d^2+56\,a\,b\,c\,d+6\,b^2\,c^2\right)}{2}+\frac{56\,c^{11}\,d^3\,x^9\,\left(78\,a^2\,d^2+65\,a\,b\,c\,d+10\,b^2\,c^2\right)}{9}+\frac{208\,c^9\,d^5\,x^{11}\,\left(55\,a^2\,d^2+77\,a\,b\,c\,d+21\,b^2\,c^2\right)}{11}+\frac{143\,c^8\,d^6\,x^{12}\,\left(45\,a^2\,d^2+80\,a\,b\,c\,d+28\,b^2\,c^2\right)}{6}+\frac{143\,c^6\,d^8\,x^{14}\,\left(28\,a^2\,d^2+80\,a\,b\,c\,d+45\,b^2\,c^2\right)}{7}+\frac{208\,c^5\,d^9\,x^{15}\,\left(21\,a^2\,d^2+77\,a\,b\,c\,d+55\,b^2\,c^2\right)}{15}+\frac{56\,c^3\,d^{11}\,x^{17}\,\left(10\,a^2\,d^2+65\,a\,b\,c\,d+78\,b^2\,c^2\right)}{17}+\frac{10\,c^2\,d^{12}\,x^{18}\,\left(6\,a^2\,d^2+56\,a\,b\,c\,d+91\,b^2\,c^2\right)}{9}","Not used",1,"x^6*((b^2*c^16)/6 + 20*a^2*c^14*d^2 + (16*a*b*c^15*d)/3) + x^20*((a^2*d^16)/20 + 6*b^2*c^2*d^14 + (8*a*b*c*d^15)/5) + (a^2*c^16*x^4)/4 + (b^2*d^16*x^22)/22 + (2*a*c^15*x^5*(8*a*d + b*c))/5 + (2*b*d^15*x^21*(a*d + 8*b*c))/21 + (16*c^13*d*x^7*(35*a^2*d^2 + b^2*c^2 + 15*a*b*c*d))/7 + (16*c*d^13*x^19*(a^2*d^2 + 35*b^2*c^2 + 15*a*b*c*d))/19 + 220*c^7*d^7*x^13*(4*a^2*d^2 + 4*b^2*c^2 + 9*a*b*c*d) + (182*c^10*d^4*x^10*(22*a^2*d^2 + 5*b^2*c^2 + 24*a*b*c*d))/5 + (91*c^4*d^10*x^16*(5*a^2*d^2 + 22*b^2*c^2 + 24*a*b*c*d))/4 + (5*c^12*d^2*x^8*(91*a^2*d^2 + 6*b^2*c^2 + 56*a*b*c*d))/2 + (56*c^11*d^3*x^9*(78*a^2*d^2 + 10*b^2*c^2 + 65*a*b*c*d))/9 + (208*c^9*d^5*x^11*(55*a^2*d^2 + 21*b^2*c^2 + 77*a*b*c*d))/11 + (143*c^8*d^6*x^12*(45*a^2*d^2 + 28*b^2*c^2 + 80*a*b*c*d))/6 + (143*c^6*d^8*x^14*(28*a^2*d^2 + 45*b^2*c^2 + 80*a*b*c*d))/7 + (208*c^5*d^9*x^15*(21*a^2*d^2 + 55*b^2*c^2 + 77*a*b*c*d))/15 + (56*c^3*d^11*x^17*(10*a^2*d^2 + 78*b^2*c^2 + 65*a*b*c*d))/17 + (10*c^2*d^12*x^18*(6*a^2*d^2 + 91*b^2*c^2 + 56*a*b*c*d))/9","B"
203,1,557,137,0.635618,"\text{Not used}","int(x^2*(a + b*x)^2*(c + d*x)^16,x)","x^5\,\left(24\,a^2\,c^{14}\,d^2+\frac{32\,a\,b\,c^{15}\,d}{5}+\frac{b^2\,c^{16}}{5}\right)+x^{19}\,\left(\frac{a^2\,d^{16}}{19}+\frac{32\,a\,b\,c\,d^{15}}{19}+\frac{120\,b^2\,c^2\,d^{14}}{19}\right)+\frac{a^2\,c^{16}\,x^3}{3}+\frac{b^2\,d^{16}\,x^{21}}{21}+\frac{a\,c^{15}\,x^4\,\left(8\,a\,d+b\,c\right)}{2}+\frac{b\,d^{15}\,x^{20}\,\left(a\,d+8\,b\,c\right)}{10}+\frac{8\,c^{13}\,d\,x^6\,\left(35\,a^2\,d^2+15\,a\,b\,c\,d+b^2\,c^2\right)}{3}+\frac{8\,c\,d^{13}\,x^{18}\,\left(a^2\,d^2+15\,a\,b\,c\,d+35\,b^2\,c^2\right)}{9}+\frac{715\,c^7\,d^7\,x^{12}\,\left(4\,a^2\,d^2+9\,a\,b\,c\,d+4\,b^2\,c^2\right)}{3}+\frac{364\,c^{10}\,d^4\,x^9\,\left(22\,a^2\,d^2+24\,a\,b\,c\,d+5\,b^2\,c^2\right)}{9}+\frac{364\,c^4\,d^{10}\,x^{15}\,\left(5\,a^2\,d^2+24\,a\,b\,c\,d+22\,b^2\,c^2\right)}{15}+\frac{20\,c^{12}\,d^2\,x^7\,\left(91\,a^2\,d^2+56\,a\,b\,c\,d+6\,b^2\,c^2\right)}{7}+7\,c^{11}\,d^3\,x^8\,\left(78\,a^2\,d^2+65\,a\,b\,c\,d+10\,b^2\,c^2\right)+\frac{104\,c^9\,d^5\,x^{10}\,\left(55\,a^2\,d^2+77\,a\,b\,c\,d+21\,b^2\,c^2\right)}{5}+26\,c^8\,d^6\,x^{11}\,\left(45\,a^2\,d^2+80\,a\,b\,c\,d+28\,b^2\,c^2\right)+22\,c^6\,d^8\,x^{13}\,\left(28\,a^2\,d^2+80\,a\,b\,c\,d+45\,b^2\,c^2\right)+\frac{104\,c^5\,d^9\,x^{14}\,\left(21\,a^2\,d^2+77\,a\,b\,c\,d+55\,b^2\,c^2\right)}{7}+\frac{7\,c^3\,d^{11}\,x^{16}\,\left(10\,a^2\,d^2+65\,a\,b\,c\,d+78\,b^2\,c^2\right)}{2}+\frac{20\,c^2\,d^{12}\,x^{17}\,\left(6\,a^2\,d^2+56\,a\,b\,c\,d+91\,b^2\,c^2\right)}{17}","Not used",1,"x^5*((b^2*c^16)/5 + 24*a^2*c^14*d^2 + (32*a*b*c^15*d)/5) + x^19*((a^2*d^16)/19 + (120*b^2*c^2*d^14)/19 + (32*a*b*c*d^15)/19) + (a^2*c^16*x^3)/3 + (b^2*d^16*x^21)/21 + (a*c^15*x^4*(8*a*d + b*c))/2 + (b*d^15*x^20*(a*d + 8*b*c))/10 + (8*c^13*d*x^6*(35*a^2*d^2 + b^2*c^2 + 15*a*b*c*d))/3 + (8*c*d^13*x^18*(a^2*d^2 + 35*b^2*c^2 + 15*a*b*c*d))/9 + (715*c^7*d^7*x^12*(4*a^2*d^2 + 4*b^2*c^2 + 9*a*b*c*d))/3 + (364*c^10*d^4*x^9*(22*a^2*d^2 + 5*b^2*c^2 + 24*a*b*c*d))/9 + (364*c^4*d^10*x^15*(5*a^2*d^2 + 22*b^2*c^2 + 24*a*b*c*d))/15 + (20*c^12*d^2*x^7*(91*a^2*d^2 + 6*b^2*c^2 + 56*a*b*c*d))/7 + 7*c^11*d^3*x^8*(78*a^2*d^2 + 10*b^2*c^2 + 65*a*b*c*d) + (104*c^9*d^5*x^10*(55*a^2*d^2 + 21*b^2*c^2 + 77*a*b*c*d))/5 + 26*c^8*d^6*x^11*(45*a^2*d^2 + 28*b^2*c^2 + 80*a*b*c*d) + 22*c^6*d^8*x^13*(28*a^2*d^2 + 45*b^2*c^2 + 80*a*b*c*d) + (104*c^5*d^9*x^14*(21*a^2*d^2 + 55*b^2*c^2 + 77*a*b*c*d))/7 + (7*c^3*d^11*x^16*(10*a^2*d^2 + 78*b^2*c^2 + 65*a*b*c*d))/2 + (20*c^2*d^12*x^17*(6*a^2*d^2 + 91*b^2*c^2 + 56*a*b*c*d))/17","B"
204,1,557,98,0.625943,"\text{Not used}","int(x*(a + b*x)^2*(c + d*x)^16,x)","x^4\,\left(30\,a^2\,c^{14}\,d^2+8\,a\,b\,c^{15}\,d+\frac{b^2\,c^{16}}{4}\right)+x^{18}\,\left(\frac{a^2\,d^{16}}{18}+\frac{16\,a\,b\,c\,d^{15}}{9}+\frac{20\,b^2\,c^2\,d^{14}}{3}\right)+\frac{a^2\,c^{16}\,x^2}{2}+\frac{b^2\,d^{16}\,x^{20}}{20}+\frac{2\,a\,c^{15}\,x^3\,\left(8\,a\,d+b\,c\right)}{3}+\frac{2\,b\,d^{15}\,x^{19}\,\left(a\,d+8\,b\,c\right)}{19}+\frac{16\,c^{13}\,d\,x^5\,\left(35\,a^2\,d^2+15\,a\,b\,c\,d+b^2\,c^2\right)}{5}+\frac{16\,c\,d^{13}\,x^{17}\,\left(a^2\,d^2+15\,a\,b\,c\,d+35\,b^2\,c^2\right)}{17}+260\,c^7\,d^7\,x^{11}\,\left(4\,a^2\,d^2+9\,a\,b\,c\,d+4\,b^2\,c^2\right)+\frac{91\,c^{10}\,d^4\,x^8\,\left(22\,a^2\,d^2+24\,a\,b\,c\,d+5\,b^2\,c^2\right)}{2}+26\,c^4\,d^{10}\,x^{14}\,\left(5\,a^2\,d^2+24\,a\,b\,c\,d+22\,b^2\,c^2\right)+\frac{10\,c^{12}\,d^2\,x^6\,\left(91\,a^2\,d^2+56\,a\,b\,c\,d+6\,b^2\,c^2\right)}{3}+8\,c^{11}\,d^3\,x^7\,\left(78\,a^2\,d^2+65\,a\,b\,c\,d+10\,b^2\,c^2\right)+\frac{208\,c^9\,d^5\,x^9\,\left(55\,a^2\,d^2+77\,a\,b\,c\,d+21\,b^2\,c^2\right)}{9}+\frac{143\,c^8\,d^6\,x^{10}\,\left(45\,a^2\,d^2+80\,a\,b\,c\,d+28\,b^2\,c^2\right)}{5}+\frac{143\,c^6\,d^8\,x^{12}\,\left(28\,a^2\,d^2+80\,a\,b\,c\,d+45\,b^2\,c^2\right)}{6}+16\,c^5\,d^9\,x^{13}\,\left(21\,a^2\,d^2+77\,a\,b\,c\,d+55\,b^2\,c^2\right)+\frac{56\,c^3\,d^{11}\,x^{15}\,\left(10\,a^2\,d^2+65\,a\,b\,c\,d+78\,b^2\,c^2\right)}{15}+\frac{5\,c^2\,d^{12}\,x^{16}\,\left(6\,a^2\,d^2+56\,a\,b\,c\,d+91\,b^2\,c^2\right)}{4}","Not used",1,"x^4*((b^2*c^16)/4 + 30*a^2*c^14*d^2 + 8*a*b*c^15*d) + x^18*((a^2*d^16)/18 + (20*b^2*c^2*d^14)/3 + (16*a*b*c*d^15)/9) + (a^2*c^16*x^2)/2 + (b^2*d^16*x^20)/20 + (2*a*c^15*x^3*(8*a*d + b*c))/3 + (2*b*d^15*x^19*(a*d + 8*b*c))/19 + (16*c^13*d*x^5*(35*a^2*d^2 + b^2*c^2 + 15*a*b*c*d))/5 + (16*c*d^13*x^17*(a^2*d^2 + 35*b^2*c^2 + 15*a*b*c*d))/17 + 260*c^7*d^7*x^11*(4*a^2*d^2 + 4*b^2*c^2 + 9*a*b*c*d) + (91*c^10*d^4*x^8*(22*a^2*d^2 + 5*b^2*c^2 + 24*a*b*c*d))/2 + 26*c^4*d^10*x^14*(5*a^2*d^2 + 22*b^2*c^2 + 24*a*b*c*d) + (10*c^12*d^2*x^6*(91*a^2*d^2 + 6*b^2*c^2 + 56*a*b*c*d))/3 + 8*c^11*d^3*x^7*(78*a^2*d^2 + 10*b^2*c^2 + 65*a*b*c*d) + (208*c^9*d^5*x^9*(55*a^2*d^2 + 21*b^2*c^2 + 77*a*b*c*d))/9 + (143*c^8*d^6*x^10*(45*a^2*d^2 + 28*b^2*c^2 + 80*a*b*c*d))/5 + (143*c^6*d^8*x^12*(28*a^2*d^2 + 45*b^2*c^2 + 80*a*b*c*d))/6 + 16*c^5*d^9*x^13*(21*a^2*d^2 + 55*b^2*c^2 + 77*a*b*c*d) + (56*c^3*d^11*x^15*(10*a^2*d^2 + 78*b^2*c^2 + 65*a*b*c*d))/15 + (5*c^2*d^12*x^16*(6*a^2*d^2 + 91*b^2*c^2 + 56*a*b*c*d))/4","B"
205,1,94,87,0.044880,"\text{Not used}","int((x^3*(c + d*x))/(a + b*x),x)","x^3\,\left(\frac{c}{3\,b}-\frac{a\,d}{3\,b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(a^4\,d-a^3\,b\,c\right)}{b^5}+\frac{d\,x^4}{4\,b}-\frac{a\,x^2\,\left(\frac{c}{b}-\frac{a\,d}{b^2}\right)}{2\,b}+\frac{a^2\,x\,\left(\frac{c}{b}-\frac{a\,d}{b^2}\right)}{b^2}","Not used",1,"x^3*(c/(3*b) - (a*d)/(3*b^2)) + (log(a + b*x)*(a^4*d - a^3*b*c))/b^5 + (d*x^4)/(4*b) - (a*x^2*(c/b - (a*d)/b^2))/(2*b) + (a^2*x*(c/b - (a*d)/b^2))/b^2","B"
206,1,72,66,0.049633,"\text{Not used}","int((x^2*(c + d*x))/(a + b*x),x)","x^2\,\left(\frac{c}{2\,b}-\frac{a\,d}{2\,b^2}\right)-\frac{\ln\left(a+b\,x\right)\,\left(a^3\,d-a^2\,b\,c\right)}{b^4}+\frac{d\,x^3}{3\,b}-\frac{a\,x\,\left(\frac{c}{b}-\frac{a\,d}{b^2}\right)}{b}","Not used",1,"x^2*(c/(2*b) - (a*d)/(2*b^2)) - (log(a + b*x)*(a^3*d - a^2*b*c))/b^4 + (d*x^3)/(3*b) - (a*x*(c/b - (a*d)/b^2))/b","B"
207,1,46,45,0.054371,"\text{Not used}","int((x*(c + d*x))/(a + b*x),x)","x\,\left(\frac{c}{b}-\frac{a\,d}{b^2}\right)+\frac{d\,x^2}{2\,b}+\frac{\ln\left(a+b\,x\right)\,\left(a^2\,d-a\,b\,c\right)}{b^3}","Not used",1,"x*(c/b - (a*d)/b^2) + (d*x^2)/(2*b) + (log(a + b*x)*(a^2*d - a*b*c))/b^3","B"
208,1,26,25,0.041527,"\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"
209,1,28,30,0.351946,"\text{Not used}","int((c + d*x)/(x*(a + b*x)),x)","\frac{c\,\ln\left(x\right)}{a}-\ln\left(a+b\,x\right)\,\left(\frac{c}{a}-\frac{d}{b}\right)","Not used",1,"(c*log(x))/a - log(a + b*x)*(c/a - d/b)","B"
210,1,33,43,0.331604,"\text{Not used}","int((c + d*x)/(x^2*(a + b*x)),x)","-\frac{c}{a\,x}-\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)\,\left(a\,d-b\,c\right)}{a^2}","Not used",1,"- c/(a*x) - (2*atanh((2*b*x)/a + 1)*(a*d - b*c))/a^2","B"
211,1,73,62,0.082170,"\text{Not used}","int((c + d*x)/(x^3*(a + b*x)),x)","-\frac{\frac{c}{2\,a}+\frac{x\,\left(a\,d-b\,c\right)}{a^2}}{x^2}-\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,\left(a\,d-b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(b^2\,c-a\,b\,d\right)}\right)\,\left(a\,d-b\,c\right)}{a^3}","Not used",1,"- (c/(2*a) + (x*(a*d - b*c))/a^2)/x^2 - (2*b*atanh((b*(a*d - b*c)*(a + 2*b*x))/(a*(b^2*c - a*b*d)))*(a*d - b*c))/a^3","B"
212,1,97,86,0.347629,"\text{Not used}","int((c + d*x)/(x^4*(a + b*x)),x)","\frac{2\,b^2\,\mathrm{atanh}\left(\frac{b^2\,\left(a\,d-b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(b^3\,c-a\,b^2\,d\right)}\right)\,\left(a\,d-b\,c\right)}{a^4}-\frac{\frac{c}{3\,a}+\frac{x\,\left(a\,d-b\,c\right)}{2\,a^2}-\frac{b\,x^2\,\left(a\,d-b\,c\right)}{a^3}}{x^3}","Not used",1,"(2*b^2*atanh((b^2*(a*d - b*c)*(a + 2*b*x))/(a*(b^3*c - a*b^2*d)))*(a*d - b*c))/a^4 - (c/(3*a) + (x*(a*d - b*c))/(2*a^2) - (b*x^2*(a*d - b*c))/a^3)/x^3","B"
213,1,181,117,0.051203,"\text{Not used}","int((x^3*(c + d*x)^2)/(a + b*x),x)","x^3\,\left(\frac{c^2}{3\,b}+\frac{a\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)}{3\,b}\right)-x^4\,\left(\frac{a\,d^2}{4\,b^2}-\frac{c\,d}{2\,b}\right)-\frac{\ln\left(a+b\,x\right)\,\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^3\,b^2\,c^2\right)}{b^6}+\frac{d^2\,x^5}{5\,b}-\frac{a\,x^2\,\left(\frac{c^2}{b}+\frac{a\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)}{b}\right)}{2\,b}+\frac{a^2\,x\,\left(\frac{c^2}{b}+\frac{a\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)}{b}\right)}{b^2}","Not used",1,"x^3*(c^2/(3*b) + (a*((a*d^2)/b^2 - (2*c*d)/b))/(3*b)) - x^4*((a*d^2)/(4*b^2) - (c*d)/(2*b)) - (log(a + b*x)*(a^5*d^2 + a^3*b^2*c^2 - 2*a^4*b*c*d))/b^6 + (d^2*x^5)/(5*b) - (a*x^2*(c^2/b + (a*((a*d^2)/b^2 - (2*c*d)/b))/b))/(2*b) + (a^2*x*(c^2/b + (a*((a*d^2)/b^2 - (2*c*d)/b))/b))/b^2","B"
214,1,141,94,0.043988,"\text{Not used}","int((x^2*(c + d*x)^2)/(a + b*x),x)","x^2\,\left(\frac{c^2}{2\,b}+\frac{a\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)}{2\,b}\right)-x^3\,\left(\frac{a\,d^2}{3\,b^2}-\frac{2\,c\,d}{3\,b}\right)+\frac{\ln\left(a+b\,x\right)\,\left(a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2\right)}{b^5}+\frac{d^2\,x^4}{4\,b}-\frac{a\,x\,\left(\frac{c^2}{b}+\frac{a\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)}{b}\right)}{b}","Not used",1,"x^2*(c^2/(2*b) + (a*((a*d^2)/b^2 - (2*c*d)/b))/(2*b)) - x^3*((a*d^2)/(3*b^2) - (2*c*d)/(3*b)) + (log(a + b*x)*(a^4*d^2 + a^2*b^2*c^2 - 2*a^3*b*c*d))/b^5 + (d^2*x^4)/(4*b) - (a*x*(c^2/b + (a*((a*d^2)/b^2 - (2*c*d)/b))/b))/b","B"
215,1,100,71,0.053286,"\text{Not used}","int((x*(c + d*x)^2)/(a + b*x),x)","x\,\left(\frac{c^2}{b}+\frac{a\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)}{b}\right)-x^2\,\left(\frac{a\,d^2}{2\,b^2}-\frac{c\,d}{b}\right)-\frac{\ln\left(a+b\,x\right)\,\left(a^3\,d^2-2\,a^2\,b\,c\,d+a\,b^2\,c^2\right)}{b^4}+\frac{d^2\,x^3}{3\,b}","Not used",1,"x*(c^2/b + (a*((a*d^2)/b^2 - (2*c*d)/b))/b) - x^2*((a*d^2)/(2*b^2) - (c*d)/b) - (log(a + b*x)*(a^3*d^2 + a*b^2*c^2 - 2*a^2*b*c*d))/b^4 + (d^2*x^3)/(3*b)","B"
216,1,62,49,0.057994,"\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"
217,1,49,42,0.394462,"\text{Not used}","int((c + d*x)^2/(x*(a + b*x)),x)","\frac{d^2\,x}{b}-\ln\left(a+b\,x\right)\,\left(\frac{c^2}{a}+\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)+\frac{c^2\,\ln\left(x\right)}{a}","Not used",1,"(d^2*x)/b - log(a + b*x)*(c^2/a + (a*d^2)/b^2 - (2*c*d)/b) + (c^2*log(x))/a","B"
218,1,58,51,0.408381,"\text{Not used}","int((c + d*x)^2/(x^2*(a + b*x)),x)","\ln\left(a+b\,x\right)\,\left(\frac{d^2}{b}+\frac{b\,c^2}{a^2}-\frac{2\,c\,d}{a}\right)-\frac{c^2}{a\,x}+\frac{c\,\ln\left(x\right)\,\left(2\,a\,d-b\,c\right)}{a^2}","Not used",1,"log(a + b*x)*(d^2/b + (b*c^2)/a^2 - (2*c*d)/a) - c^2/(a*x) + (c*log(x)*(2*a*d - b*c))/a^2","B"
219,1,89,67,0.380715,"\text{Not used}","int((c + d*x)^2/(x^3*(a + b*x)),x)","-\frac{\frac{c^2}{2\,a}+\frac{c\,x\,\left(2\,a\,d-b\,c\right)}{a^2}}{x^2}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,d-b\,c\right)}^2\,\left(a+2\,b\,x\right)}{a\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{a^3}","Not used",1,"- (c^2/(2*a) + (c*x*(2*a*d - b*c))/a^2)/x^2 - (2*atanh(((a*d - b*c)^2*(a + 2*b*x))/(a*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))*(a*d - b*c)^2)/a^3","B"
220,1,123,90,0.119319,"\text{Not used}","int((c + d*x)^2/(x^4*(a + b*x)),x)","\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,{\left(a\,d-b\,c\right)}^2\,\left(a+2\,b\,x\right)}{a\,\left(a^2\,b\,d^2-2\,a\,b^2\,c\,d+b^3\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{a^4}-\frac{\frac{c^2}{3\,a}+\frac{x^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{a^3}+\frac{c\,x\,\left(2\,a\,d-b\,c\right)}{2\,a^2}}{x^3}","Not used",1,"(2*b*atanh((b*(a*d - b*c)^2*(a + 2*b*x))/(a*(b^3*c^2 + a^2*b*d^2 - 2*a*b^2*c*d)))*(a*d - b*c)^2)/a^4 - (c^2/(3*a) + (x^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/a^3 + (c*x*(2*a*d - b*c))/(2*a^2))/x^3","B"
221,1,160,114,0.416434,"\text{Not used}","int((c + d*x)^2/(x^5*(a + b*x)),x)","-\frac{\frac{c^2}{4\,a}+\frac{x^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{2\,a^3}-\frac{b\,x^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{a^4}+\frac{c\,x\,\left(2\,a\,d-b\,c\right)}{3\,a^2}}{x^4}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{b^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+2\,b\,x\right)}{a\,\left(a^2\,b^2\,d^2-2\,a\,b^3\,c\,d+b^4\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{a^5}","Not used",1,"- (c^2/(4*a) + (x^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(2*a^3) - (b*x^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/a^4 + (c*x*(2*a*d - b*c))/(3*a^2))/x^4 - (2*b^2*atanh((b^2*(a*d - b*c)^2*(a + 2*b*x))/(a*(b^4*c^2 + a^2*b^2*d^2 - 2*a*b^3*c*d)))*(a*d - b*c)^2)/a^5","B"
222,1,288,152,0.064981,"\text{Not used}","int((x^3*(c + d*x)^3)/(a + b*x),x)","x^3\,\left(\frac{c^3}{3\,b}-\frac{a\,\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)}{3\,b}\right)-x^5\,\left(\frac{a\,d^3}{5\,b^2}-\frac{3\,c\,d^2}{5\,b}\right)+x^4\,\left(\frac{3\,c^2\,d}{4\,b}+\frac{a\,\left(\frac{a\,d^3}{b^2}-\frac{3\,c\,d^2}{b}\right)}{4\,b}\right)+\frac{\ln\left(a+b\,x\right)\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}{b^7}+\frac{d^3\,x^6}{6\,b}-\frac{a\,x^2\,\left(\frac{c^3}{b}-\frac{a\,\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)}{b}\right)}{2\,b}+\frac{a^2\,x\,\left(\frac{c^3}{b}-\frac{a\,\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)}{b}\right)}{b^2}","Not used",1,"x^3*(c^3/(3*b) - (a*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b))/(3*b)) - x^5*((a*d^3)/(5*b^2) - (3*c*d^2)/(5*b)) + x^4*((3*c^2*d)/(4*b) + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/(4*b)) + (log(a + b*x)*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2))/b^7 + (d^3*x^6)/(6*b) - (a*x^2*(c^3/b - (a*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b))/b))/(2*b) + (a^2*x*(c^3/b - (a*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b))/b))/b^2","B"
223,1,231,129,0.055950,"\text{Not used}","int((x^2*(c + d*x)^3)/(a + b*x),x)","x^2\,\left(\frac{c^3}{2\,b}-\frac{a\,\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)}{2\,b}\right)-x^4\,\left(\frac{a\,d^3}{4\,b^2}-\frac{3\,c\,d^2}{4\,b}\right)+x^3\,\left(\frac{c^2\,d}{b}+\frac{a\,\left(\frac{a\,d^3}{b^2}-\frac{3\,c\,d^2}{b}\right)}{3\,b}\right)-\frac{\ln\left(a+b\,x\right)\,\left(a^5\,d^3-3\,a^4\,b\,c\,d^2+3\,a^3\,b^2\,c^2\,d-a^2\,b^3\,c^3\right)}{b^6}+\frac{d^3\,x^5}{5\,b}-\frac{a\,x\,\left(\frac{c^3}{b}-\frac{a\,\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)}{b}\right)}{b}","Not used",1,"x^2*(c^3/(2*b) - (a*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b))/(2*b)) - x^4*((a*d^3)/(4*b^2) - (3*c*d^2)/(4*b)) + x^3*((c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/(3*b)) - (log(a + b*x)*(a^5*d^3 - a^2*b^3*c^3 + 3*a^3*b^2*c^2*d - 3*a^4*b*c*d^2))/b^6 + (d^3*x^5)/(5*b) - (a*x*(c^3/b - (a*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b))/b))/b","B"
224,1,172,106,0.329536,"\text{Not used}","int((x*(c + d*x)^3)/(a + b*x),x)","x^2\,\left(\frac{3\,c^2\,d}{2\,b}+\frac{a\,\left(\frac{a\,d^3}{b^2}-\frac{3\,c\,d^2}{b}\right)}{2\,b}\right)-x^3\,\left(\frac{a\,d^3}{3\,b^2}-\frac{c\,d^2}{b}\right)+x\,\left(\frac{c^3}{b}-\frac{a\,\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)}{b}\right)+\frac{d^3\,x^4}{4\,b}+\frac{\ln\left(a+b\,x\right)\,\left(a^4\,d^3-3\,a^3\,b\,c\,d^2+3\,a^2\,b^2\,c^2\,d-a\,b^3\,c^3\right)}{b^5}","Not used",1,"x^2*((3*c^2*d)/(2*b) + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/(2*b)) - x^3*((a*d^3)/(3*b^2) - (c*d^2)/b) + x*(c^3/b - (a*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b))/b) + (d^3*x^4)/(4*b) + (log(a + b*x)*(a^4*d^3 - a*b^3*c^3 + 3*a^2*b^2*c^2*d - 3*a^3*b*c*d^2))/b^5","B"
225,1,118,73,0.079119,"\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"
226,1,65,64,0.142913,"\text{Not used}","int((c + d*x)^3/(x*(a + b*x)),x)","\frac{d^3\,x^2}{2\,b}-x\,\left(\frac{a\,d^3}{b^2}-\frac{3\,c\,d^2}{b}\right)+\frac{c^3\,\ln\left(x\right)}{a}+\frac{\ln\left(a+b\,x\right)\,{\left(a\,d-b\,c\right)}^3}{a\,b^3}","Not used",1,"(d^3*x^2)/(2*b) - x*((a*d^3)/b^2 - (3*c*d^2)/b) + (c^3*log(x))/a + (log(a + b*x)*(a*d - b*c)^3)/(a*b^3)","B"
227,1,88,61,0.420151,"\text{Not used}","int((c + d*x)^3/(x^2*(a + b*x)),x)","\frac{d^3\,x}{b}-\frac{c^3}{a\,x}+\frac{c^2\,\ln\left(x\right)\,\left(3\,a\,d-b\,c\right)}{a^2}-\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)}{a^2\,b^2}","Not used",1,"(d^3*x)/b - c^3/(a*x) + (c^2*log(x)*(3*a*d - b*c))/a^2 - (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))/(a^2*b^2)","B"
228,1,84,85,0.458869,"\text{Not used}","int((c + d*x)^3/(x^3*(a + b*x)),x)","\frac{\ln\left(a+b\,x\right)\,{\left(a\,d-b\,c\right)}^3}{a^3\,b}-\frac{\frac{c^3}{2\,a}+\frac{c^2\,x\,\left(3\,a\,d-b\,c\right)}{a^2}}{x^2}+\frac{c\,\ln\left(x\right)\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{a^3}","Not used",1,"(log(a + b*x)*(a*d - b*c)^3)/(a^3*b) - (c^3/(2*a) + (c^2*x*(3*a*d - b*c))/a^2)/x^2 + (c*log(x)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/a^3","B"
229,1,137,103,0.394587,"\text{Not used}","int((c + d*x)^3/(x^4*(a + b*x)),x)","-\frac{\frac{c^3}{3\,a}+\frac{c^2\,x\,\left(3\,a\,d-b\,c\right)}{2\,a^2}+\frac{c\,x^2\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{a^3}}{x^3}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,d-b\,c\right)}^3\,\left(a+2\,b\,x\right)}{a\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{a^4}","Not used",1,"- (c^3/(3*a) + (c^2*x*(3*a*d - b*c))/(2*a^2) + (c*x^2*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/a^3)/x^3 - (2*atanh(((a*d - b*c)^3*(a + 2*b*x))/(a*(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)^3)/a^4","B"
230,1,186,124,0.137581,"\text{Not used}","int((c + d*x)^3/(x^5*(a + b*x)),x)","-\frac{\frac{c^3}{4\,a}+\frac{x^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{a^4}+\frac{c^2\,x\,\left(3\,a\,d-b\,c\right)}{3\,a^2}+\frac{c\,x^2\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{2\,a^3}}{x^4}-\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,{\left(a\,d-b\,c\right)}^3\,\left(a+2\,b\,x\right)}{a\,\left(-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{a^5}","Not used",1,"- (c^3/(4*a) + (x^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/a^4 + (c^2*x*(3*a*d - b*c))/(3*a^2) + (c*x^2*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/(2*a^3))/x^4 - (2*b*atanh((b*(a*d - b*c)^3*(a + 2*b*x))/(a*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)))*(a*d - b*c)^3)/a^5","B"
231,1,238,150,0.421159,"\text{Not used}","int((c + d*x)^3/(x^6*(a + b*x)),x)","\frac{2\,b^2\,\mathrm{atanh}\left(\frac{b^2\,{\left(a\,d-b\,c\right)}^3\,\left(a+2\,b\,x\right)}{a\,\left(-a^3\,b^2\,d^3+3\,a^2\,b^3\,c\,d^2-3\,a\,b^4\,c^2\,d+b^5\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{a^6}-\frac{\frac{c^3}{5\,a}+\frac{x^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{2\,a^4}+\frac{c^2\,x\,\left(3\,a\,d-b\,c\right)}{4\,a^2}+\frac{c\,x^2\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{3\,a^3}-\frac{b\,x^4\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{a^5}}{x^5}","Not used",1,"(2*b^2*atanh((b^2*(a*d - b*c)^3*(a + 2*b*x))/(a*(b^5*c^3 - a^3*b^2*d^3 + 3*a^2*b^3*c*d^2 - 3*a*b^4*c^2*d)))*(a*d - b*c)^3)/a^6 - (c^3/(5*a) + (x^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(2*a^4) + (c^2*x*(3*a*d - b*c))/(4*a^2) + (c*x^2*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/(3*a^3) - (b*x^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/a^5)/x^5","B"
232,1,174,145,0.495289,"\text{Not used}","int(x^5/((a + b*x)*(c + d*x)),x)","x^2\,\left(\frac{{\left(a\,d+b\,c\right)}^2}{2\,b^3\,d^3}-\frac{a\,c}{2\,b^2\,d^2}\right)-x\,\left(\frac{\left(a\,d+b\,c\right)\,\left(\frac{{\left(a\,d+b\,c\right)}^2}{b^3\,d^3}-\frac{a\,c}{b^2\,d^2}\right)}{b\,d}-\frac{a\,c\,\left(a\,d+b\,c\right)}{b^3\,d^3}\right)-\frac{a^5\,\ln\left(a+b\,x\right)}{b^6\,c-a\,b^5\,d}+\frac{x^4}{4\,b\,d}-\frac{c^5\,\ln\left(c+d\,x\right)}{d^5\,\left(a\,d-b\,c\right)}-\frac{x^3\,\left(a\,d+b\,c\right)}{3\,b^2\,d^2}","Not used",1,"x^2*((a*d + b*c)^2/(2*b^3*d^3) - (a*c)/(2*b^2*d^2)) - x*(((a*d + b*c)*((a*d + b*c)^2/(b^3*d^3) - (a*c)/(b^2*d^2)))/(b*d) - (a*c*(a*d + b*c))/(b^3*d^3)) - (a^5*log(a + b*x))/(b^6*c - a*b^5*d) + x^4/(4*b*d) - (c^5*log(c + d*x))/(d^5*(a*d - b*c)) - (x^3*(a*d + b*c))/(3*b^2*d^2)","B"
233,1,106,109,0.469020,"\text{Not used}","int(x^4/((a + b*x)*(c + d*x)),x)","x\,\left(\frac{{\left(a\,d+b\,c\right)}^2}{b^3\,d^3}-\frac{a\,c}{b^2\,d^2}\right)+\frac{x^3}{3\,b\,d}-\frac{a^4\,\ln\left(a+b\,x\right)}{b^4\,\left(a\,d-b\,c\right)}+\frac{c^4\,\ln\left(c+d\,x\right)}{d^4\,\left(a\,d-b\,c\right)}-\frac{x^2\,\left(a\,d+b\,c\right)}{2\,b^2\,d^2}","Not used",1,"x*((a*d + b*c)^2/(b^3*d^3) - (a*c)/(b^2*d^2)) + x^3/(3*b*d) - (a^4*log(a + b*x))/(b^4*(a*d - b*c)) + (c^4*log(c + d*x))/(d^4*(a*d - b*c)) - (x^2*(a*d + b*c))/(2*b^2*d^2)","B"
234,1,78,77,0.191459,"\text{Not used}","int(x^3/((a + b*x)*(c + d*x)),x)","\frac{x^2}{2\,b\,d}-\frac{a^3\,\ln\left(a+b\,x\right)}{b^4\,c-a\,b^3\,d}-\frac{x\,\left(a\,d+b\,c\right)}{b^2\,d^2}-\frac{c^3\,\ln\left(c+d\,x\right)}{d^3\,\left(a\,d-b\,c\right)}","Not used",1,"x^2/(2*b*d) - (a^3*log(a + b*x))/(b^4*c - a*b^3*d) - (x*(a*d + b*c))/(b^2*d^2) - (c^3*log(c + d*x))/(d^3*(a*d - b*c))","B"
235,1,61,56,0.437636,"\text{Not used}","int(x^2/((a + b*x)*(c + d*x)),x)","-\frac{a^2\,d^2\,\ln\left(a+b\,x\right)-b^2\,c^2\,\ln\left(c+d\,x\right)-a\,b\,d^2\,x+b^2\,c\,d\,x}{b^2\,d^2\,\left(a\,d-b\,c\right)}","Not used",1,"-(a^2*d^2*log(a + b*x) - b^2*c^2*log(c + d*x) - a*b*d^2*x + b^2*c*d*x)/(b^2*d^2*(a*d - b*c))","B"
236,1,37,44,0.124446,"\text{Not used}","int(x/((a + b*x)*(c + d*x)),x)","\frac{a\,d\,\ln\left(a+b\,x\right)-b\,c\,\ln\left(c+d\,x\right)}{b\,d\,\left(a\,d-b\,c\right)}","Not used",1,"(a*d*log(a + b*x) - b*c*log(c + d*x))/(b*d*(a*d - b*c))","B"
237,1,25,36,0.351287,"\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"
238,1,52,53,0.492433,"\text{Not used}","int(1/(x*(a + b*x)*(c + d*x)),x)","\frac{\ln\left(x\right)}{a\,c}+\frac{b\,\ln\left(a+b\,x\right)}{a^2\,d-a\,b\,c}+\frac{d\,\ln\left(c+d\,x\right)}{b\,c^2-a\,c\,d}","Not used",1,"log(x)/(a*c) + (b*log(a + b*x))/(a^2*d - a*b*c) + (d*log(c + d*x))/(b*c^2 - a*c*d)","B"
239,1,78,76,0.212499,"\text{Not used}","int(1/(x^2*(a + b*x)*(c + d*x)),x)","\frac{d^2\,\ln\left(c+d\,x\right)}{c^2\,\left(a\,d-b\,c\right)}-\frac{1}{a\,c\,x}-\frac{b^2\,\ln\left(a+b\,x\right)}{a^3\,d-a^2\,b\,c}-\frac{\ln\left(x\right)\,\left(a\,d+b\,c\right)}{a^2\,c^2}","Not used",1,"(d^2*log(c + d*x))/(c^2*(a*d - b*c)) - 1/(a*c*x) - (b^2*log(a + b*x))/(a^3*d - a^2*b*c) - (log(x)*(a*d + b*c))/(a^2*c^2)","B"
240,1,107,107,0.247762,"\text{Not used}","int(1/(x^3*(a + b*x)*(c + d*x)),x)","\frac{b^3\,\ln\left(a+b\,x\right)}{a^3\,\left(a\,d-b\,c\right)}-\frac{\frac{1}{2\,a\,c}-\frac{x\,\left(a\,d+b\,c\right)}{a^2\,c^2}}{x^2}-\frac{d^3\,\ln\left(c+d\,x\right)}{c^3\,\left(a\,d-b\,c\right)}+\frac{\ln\left(x\right)\,\left(a^2\,d^2+a\,b\,c\,d+b^2\,c^2\right)}{a^3\,c^3}","Not used",1,"(b^3*log(a + b*x))/(a^3*(a*d - b*c)) - (1/(2*a*c) - (x*(a*d + b*c))/(a^2*c^2))/x^2 - (d^3*log(c + d*x))/(c^3*(a*d - b*c)) + (log(x)*(a^2*d^2 + b^2*c^2 + a*b*c*d))/(a^3*c^3)","B"
241,1,153,144,0.552879,"\text{Not used}","int(1/(x^4*(a + b*x)*(c + d*x)),x)","\frac{d^4\,\ln\left(c+d\,x\right)}{c^4\,\left(a\,d-b\,c\right)}-\frac{b^4\,\ln\left(a+b\,x\right)}{a^5\,d-a^4\,b\,c}-\frac{\ln\left(x\right)\,\left(a^3\,d^3+a^2\,b\,c\,d^2+a\,b^2\,c^2\,d+b^3\,c^3\right)}{a^4\,c^4}-\frac{\frac{1}{3\,a\,c}-\frac{x\,\left(a\,d+b\,c\right)}{2\,a^2\,c^2}+\frac{x^2\,\left(a^2\,d^2+a\,b\,c\,d+b^2\,c^2\right)}{a^3\,c^3}}{x^3}","Not used",1,"(d^4*log(c + d*x))/(c^4*(a*d - b*c)) - (b^4*log(a + b*x))/(a^5*d - a^4*b*c) - (log(x)*(a^3*d^3 + b^3*c^3 + a*b^2*c^2*d + a^2*b*c*d^2))/(a^4*c^4) - (1/(3*a*c) - (x*(a*d + b*c))/(2*a^2*c^2) + (x^2*(a^2*d^2 + b^2*c^2 + a*b*c*d))/(a^3*c^3))/x^3","B"
242,1,205,147,0.606209,"\text{Not used}","int(x^5/((a + b*x)*(c + d*x)^2),x)","\frac{x^3}{3\,b\,d^2}-\frac{a^5\,\ln\left(a+b\,x\right)}{a^2\,b^4\,d^2-2\,a\,b^5\,c\,d+b^6\,c^2}-\frac{\ln\left(c+d\,x\right)\,\left(4\,b\,c^5-5\,a\,c^4\,d\right)}{a^2\,d^7-2\,a\,b\,c\,d^6+b^2\,c^2\,d^5}-x\,\left(\frac{b\,c^2+2\,a\,d\,c}{b^2\,d^4}-\frac{{\left(a\,d^2+2\,b\,c\,d\right)}^2}{b^3\,d^6}\right)-\frac{x^2\,\left(a\,d^2+2\,b\,c\,d\right)}{2\,b^2\,d^4}+\frac{b^3\,c^5}{d\,\left(x\,b^3\,d^5+c\,b^3\,d^4\right)\,\left(a\,d-b\,c\right)}","Not used",1,"x^3/(3*b*d^2) - (a^5*log(a + b*x))/(b^6*c^2 + a^2*b^4*d^2 - 2*a*b^5*c*d) - (log(c + d*x)*(4*b*c^5 - 5*a*c^4*d))/(a^2*d^7 + b^2*c^2*d^5 - 2*a*b*c*d^6) - x*((b*c^2 + 2*a*c*d)/(b^2*d^4) - (a*d^2 + 2*b*c*d)^2/(b^3*d^6)) - (x^2*(a*d^2 + 2*b*c*d))/(2*b^2*d^4) + (b^3*c^5)/(d*(b^3*c*d^4 + b^3*d^5*x)*(a*d - b*c))","B"
243,1,144,110,0.551447,"\text{Not used}","int(x^4/((a + b*x)*(c + d*x)^2),x)","\frac{\ln\left(c+d\,x\right)\,\left(3\,b\,c^4-4\,a\,c^3\,d\right)}{a^2\,d^6-2\,a\,b\,c\,d^5+b^2\,c^2\,d^4}+\frac{x^2}{2\,b\,d^2}+\frac{a^4\,\ln\left(a+b\,x\right)}{b^3\,{\left(a\,d-b\,c\right)}^2}-\frac{x\,\left(a\,d^2+2\,b\,c\,d\right)}{b^2\,d^4}-\frac{b^2\,c^4}{d\,\left(x\,b^2\,d^4+c\,b^2\,d^3\right)\,\left(a\,d-b\,c\right)}","Not used",1,"(log(c + d*x)*(3*b*c^4 - 4*a*c^3*d))/(a^2*d^6 + b^2*c^2*d^4 - 2*a*b*c*d^5) + x^2/(2*b*d^2) + (a^4*log(a + b*x))/(b^3*(a*d - b*c)^2) - (x*(a*d^2 + 2*b*c*d))/(b^2*d^4) - (b^2*c^4)/(d*(b^2*c*d^3 + b^2*d^4*x)*(a*d - b*c))","B"
244,1,131,91,0.524236,"\text{Not used}","int(x^3/((a + b*x)*(c + d*x)^2),x)","\frac{x}{b\,d^2}-\frac{\ln\left(c+d\,x\right)\,\left(2\,b\,c^3-3\,a\,c^2\,d\right)}{a^2\,d^5-2\,a\,b\,c\,d^4+b^2\,c^2\,d^3}-\frac{a^3\,\ln\left(a+b\,x\right)}{a^2\,b^2\,d^2-2\,a\,b^3\,c\,d+b^4\,c^2}+\frac{b\,c^3}{d\,\left(b\,x\,d^3+b\,c\,d^2\right)\,\left(a\,d-b\,c\right)}","Not used",1,"x/(b*d^2) - (log(c + d*x)*(2*b*c^3 - 3*a*c^2*d))/(a^2*d^5 + b^2*c^2*d^3 - 2*a*b*c*d^4) - (a^3*log(a + b*x))/(b^4*c^2 + a^2*b^2*d^2 - 2*a*b^3*c*d) + (b*c^3)/(d*(b*c*d^2 + b*d^3*x)*(a*d - b*c))","B"
245,1,80,77,0.224351,"\text{Not used}","int(x^2/((a + b*x)*(c + d*x)^2),x)","\frac{a^2\,\ln\left(a+b\,x\right)}{b\,{\left(a\,d-b\,c\right)}^2}-\frac{c^2}{d^2\,\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}-\frac{c\,\ln\left(c+d\,x\right)\,\left(2\,a\,d-b\,c\right)}{d^2\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(a^2*log(a + b*x))/(b*(a*d - b*c)^2) - c^2/(d^2*(a*d - b*c)*(c + d*x)) - (c*log(c + d*x)*(2*a*d - b*c))/(d^2*(a*d - b*c)^2)","B"
246,1,49,61,0.393739,"\text{Not used}","int(x/((a + b*x)*(c + d*x)^2),x)","\frac{a\,\ln\left(\frac{c+d\,x}{a+b\,x}\right)}{{\left(a\,d-b\,c\right)}^2}+\frac{c}{d\,\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}","Not used",1,"(a*log((c + d*x)/(a + b*x)))/(a*d - b*c)^2 + c/(d*(a*d - b*c)*(c + d*x))","B"
247,1,47,56,0.129749,"\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"
248,1,116,87,0.649744,"\text{Not used}","int(1/(x*(a + b*x)*(c + d*x)^2),x)","\frac{\ln\left(x\right)}{a\,c^2}-\frac{\ln\left(c+d\,x\right)\,\left(a\,d^2-2\,b\,c\,d\right)}{a^2\,c^2\,d^2-2\,a\,b\,c^3\,d+b^2\,c^4}-\frac{b^2\,\ln\left(a+b\,x\right)}{a^3\,d^2-2\,a^2\,b\,c\,d+a\,b^2\,c^2}+\frac{d}{c\,\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}","Not used",1,"log(x)/(a*c^2) - (log(c + d*x)*(a*d^2 - 2*b*c*d))/(b^2*c^4 + a^2*c^2*d^2 - 2*a*b*c^3*d) - (b^2*log(a + b*x))/(a^3*d^2 + a*b^2*c^2 - 2*a^2*b*c*d) + d/(c*(a*d - b*c)*(c + d*x))","B"
249,1,157,110,0.714912,"\text{Not used}","int(1/(x^2*(a + b*x)*(c + d*x)^2),x)","\frac{b^3\,\ln\left(a+b\,x\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2}-\frac{\frac{1}{a\,c}+\frac{x\,\left(2\,a\,d^2-b\,c\,d\right)}{a\,c^2\,\left(a\,d-b\,c\right)}}{d\,x^2+c\,x}+\frac{\ln\left(c+d\,x\right)\,\left(2\,a\,d^3-3\,b\,c\,d^2\right)}{a^2\,c^3\,d^2-2\,a\,b\,c^4\,d+b^2\,c^5}-\frac{\ln\left(x\right)\,\left(2\,a\,d+b\,c\right)}{a^2\,c^3}","Not used",1,"(b^3*log(a + b*x))/(a^4*d^2 + a^2*b^2*c^2 - 2*a^3*b*c*d) - (1/(a*c) + (x*(2*a*d^2 - b*c*d))/(a*c^2*(a*d - b*c)))/(c*x + d*x^2) + (log(c + d*x)*(2*a*d^3 - 3*b*c*d^2))/(b^2*c^5 + a^2*c^3*d^2 - 2*a*b*c^4*d) - (log(x)*(2*a*d + b*c))/(a^2*c^3)","B"
250,1,207,144,0.747186,"\text{Not used}","int(1/(x^3*(a + b*x)*(c + d*x)^2),x)","\frac{\ln\left(x\right)\,\left(3\,a^2\,d^2+2\,a\,b\,c\,d+b^2\,c^2\right)}{a^3\,c^4}-\frac{b^4\,\ln\left(a+b\,x\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^3\,b^2\,c^2}-\frac{\ln\left(c+d\,x\right)\,\left(3\,a\,d^4-4\,b\,c\,d^3\right)}{a^2\,c^4\,d^2-2\,a\,b\,c^5\,d+b^2\,c^6}-\frac{\frac{1}{2\,a\,c}-\frac{x\,\left(3\,a\,d+2\,b\,c\right)}{2\,a^2\,c^2}+\frac{x^2\,\left(-3\,a^2\,d^3+a\,b\,c\,d^2+b^2\,c^2\,d\right)}{a^2\,c^3\,\left(a\,d-b\,c\right)}}{d\,x^3+c\,x^2}","Not used",1,"(log(x)*(3*a^2*d^2 + b^2*c^2 + 2*a*b*c*d))/(a^3*c^4) - (b^4*log(a + b*x))/(a^5*d^2 + a^3*b^2*c^2 - 2*a^4*b*c*d) - (log(c + d*x)*(3*a*d^4 - 4*b*c*d^3))/(b^2*c^6 + a^2*c^4*d^2 - 2*a*b*c^5*d) - (1/(2*a*c) - (x*(3*a*d + 2*b*c))/(2*a^2*c^2) + (x^2*(b^2*c^2*d - 3*a^2*d^3 + a*b*c*d^2))/(a^2*c^3*(a*d - b*c)))/(c*x^2 + d*x^3)","B"
251,1,293,161,0.661379,"\text{Not used}","int(x^5/((a + b*x)*(c + d*x)^3),x)","\frac{\frac{x\,\left(4\,b^3\,c^5-5\,a\,b^2\,c^4\,d\right)}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}+\frac{7\,b^3\,c^6-9\,a\,b^2\,c^5\,d}{2\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b^2\,c^2\,d^4+2\,b^2\,c\,d^5\,x+b^2\,d^6\,x^2}-\frac{a^5\,\ln\left(a+b\,x\right)}{-a^3\,b^3\,d^3+3\,a^2\,b^4\,c\,d^2-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{x^2}{2\,b\,d^3}-\frac{\ln\left(c+d\,x\right)\,\left(10\,a^2\,c^3\,d^2-15\,a\,b\,c^4\,d+6\,b^2\,c^5\right)}{a^3\,d^8-3\,a^2\,b\,c\,d^7+3\,a\,b^2\,c^2\,d^6-b^3\,c^3\,d^5}-\frac{x\,\left(a\,d^3+3\,b\,c\,d^2\right)}{b^2\,d^6}","Not used",1,"((x*(4*b^3*c^5 - 5*a*b^2*c^4*d))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (7*b^3*c^6 - 9*a*b^2*c^5*d)/(2*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(b^2*c^2*d^4 + b^2*d^6*x^2 + 2*b^2*c*d^5*x) - (a^5*log(a + b*x))/(b^6*c^3 - a^3*b^3*d^3 + 3*a^2*b^4*c*d^2 - 3*a*b^5*c^2*d) + x^2/(2*b*d^3) - (log(c + d*x)*(6*b^2*c^5 + 10*a^2*c^3*d^2 - 15*a*b*c^4*d))/(a^3*d^8 - b^3*c^3*d^5 + 3*a*b^2*c^2*d^6 - 3*a^2*b*c*d^7) - (x*(a*d^3 + 3*b*c*d^2))/(b^2*d^6)","B"
252,1,258,140,0.594939,"\text{Not used}","int(x^4/((a + b*x)*(c + d*x)^3),x)","\frac{x}{b\,d^3}-\frac{\frac{5\,b^2\,c^5-7\,a\,b\,c^4\,d}{2\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{c^2\,x\,\left(3\,b^2\,c^2-4\,a\,b\,c\,d\right)}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{b\,c^2\,d^3+2\,b\,c\,d^4\,x+b\,d^5\,x^2}+\frac{a^4\,\ln\left(a+b\,x\right)}{-a^3\,b^2\,d^3+3\,a^2\,b^3\,c\,d^2-3\,a\,b^4\,c^2\,d+b^5\,c^3}+\frac{\ln\left(c+d\,x\right)\,\left(6\,a^2\,c^2\,d^2-8\,a\,b\,c^3\,d+3\,b^2\,c^4\right)}{a^3\,d^7-3\,a^2\,b\,c\,d^6+3\,a\,b^2\,c^2\,d^5-b^3\,c^3\,d^4}","Not used",1,"x/(b*d^3) - ((5*b^2*c^5 - 7*a*b*c^4*d)/(2*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (c^2*x*(3*b^2*c^2 - 4*a*b*c*d))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(b*c^2*d^3 + b*d^5*x^2 + 2*b*c*d^4*x) + (a^4*log(a + b*x))/(b^5*c^3 - a^3*b^2*d^3 + 3*a^2*b^3*c*d^2 - 3*a*b^4*c^2*d) + (log(c + d*x)*(3*b^2*c^4 + 6*a^2*c^2*d^2 - 8*a*b*c^3*d))/(a^3*d^7 - b^3*c^3*d^4 + 3*a*b^2*c^2*d^5 - 3*a^2*b*c*d^6)","B"
253,1,232,128,0.796320,"\text{Not used}","int(x^3/((a + b*x)*(c + d*x)^3),x)","\frac{\frac{3\,b\,c^4-5\,a\,c^3\,d}{2\,d^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{c^2\,x\,\left(3\,a\,d-2\,b\,c\right)}{d^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{c^2+2\,c\,d\,x+d^2\,x^2}-\frac{a^3\,\ln\left(a+b\,x\right)}{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}-\frac{\ln\left(c+d\,x\right)\,\left(3\,a^2\,c\,d^2-3\,a\,b\,c^2\,d+b^2\,c^3\right)}{a^3\,d^6-3\,a^2\,b\,c\,d^5+3\,a\,b^2\,c^2\,d^4-b^3\,c^3\,d^3}","Not used",1,"((3*b*c^4 - 5*a*c^3*d)/(2*d^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (c^2*x*(3*a*d - 2*b*c))/(d^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(c^2 + d^2*x^2 + 2*c*d*x) - (a^3*log(a + b*x))/(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d) - (log(c + d*x)*(b^2*c^3 + 3*a^2*c*d^2 - 3*a*b*c^2*d))/(a^3*d^6 - b^3*c^3*d^3 + 3*a*b^2*c^2*d^4 - 3*a^2*b*c*d^5)","B"
254,1,198,100,0.439510,"\text{Not used}","int(x^2/((a + b*x)*(c + d*x)^3),x)","\frac{\frac{c^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{c\,x\,\left(2\,a\,d-b\,c\right)}{d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{c^2+2\,c\,d\,x+d^2\,x^2}-\frac{2\,a^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,"((c^2*(3*a*d - b*c))/(2*d^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (c*x*(2*a*d - b*c))/(d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(c^2 + d^2*x^2 + 2*c*d*x) - (2*a^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"
255,1,185,85,0.156505,"\text{Not used}","int(x/((a + b*x)*(c + d*x)^3),x)","\frac{2\,a\,b\,\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}-\frac{\frac{b\,c^2+a\,d\,c}{2\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{a\,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}","Not used",1,"(2*a*b*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*c^2 + a*c*d)/(2*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (a*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)","B"
256,1,183,82,0.139574,"\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"
257,1,235,134,0.871734,"\text{Not used}","int(1/(x*(a + b*x)*(c + d*x)^3),x)","\frac{\frac{3\,a\,d^2-5\,b\,c\,d}{2\,c\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d^2\,x\,\left(a\,d-2\,b\,c\right)}{c^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{c^2+2\,c\,d\,x+d^2\,x^2}+\frac{b^3\,\ln\left(a+b\,x\right)}{a^4\,d^3-3\,a^3\,b\,c\,d^2+3\,a^2\,b^2\,c^2\,d-a\,b^3\,c^3}+\frac{\ln\left(c+d\,x\right)\,\left(a^2\,d^3-3\,a\,b\,c\,d^2+3\,b^2\,c^2\,d\right)}{-a^3\,c^3\,d^3+3\,a^2\,b\,c^4\,d^2-3\,a\,b^2\,c^5\,d+b^3\,c^6}+\frac{\ln\left(x\right)}{a\,c^3}","Not used",1,"((3*a*d^2 - 5*b*c*d)/(2*c*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (d^2*x*(a*d - 2*b*c))/(c^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(c^2 + d^2*x^2 + 2*c*d*x) + (b^3*log(a + b*x))/(a^4*d^3 - a*b^3*c^3 + 3*a^2*b^2*c^2*d - 3*a^3*b*c*d^2) + (log(c + d*x)*(a^2*d^3 + 3*b^2*c^2*d - 3*a*b*c*d^2))/(b^3*c^6 - a^3*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d) + log(x)/(a*c^3)","B"
258,1,302,160,0.930824,"\text{Not used}","int(1/(x^2*(a + b*x)*(c + d*x)^3),x)","-\frac{\frac{1}{a\,c}+\frac{x^2\,\left(3\,a^2\,d^4-5\,a\,b\,c\,d^3+b^2\,c^2\,d^2\right)}{a\,c^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(9\,a^2\,d^3-15\,a\,b\,c\,d^2+4\,b^2\,c^2\,d\right)}{2\,a\,c^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{c^2\,x+2\,c\,d\,x^2+d^2\,x^3}-\frac{b^4\,\ln\left(a+b\,x\right)}{a^5\,d^3-3\,a^4\,b\,c\,d^2+3\,a^3\,b^2\,c^2\,d-a^2\,b^3\,c^3}-\frac{\ln\left(c+d\,x\right)\,\left(3\,a^2\,d^4-8\,a\,b\,c\,d^3+6\,b^2\,c^2\,d^2\right)}{-a^3\,c^4\,d^3+3\,a^2\,b\,c^5\,d^2-3\,a\,b^2\,c^6\,d+b^3\,c^7}-\frac{\ln\left(x\right)\,\left(3\,a\,d+b\,c\right)}{a^2\,c^4}","Not used",1,"- (1/(a*c) + (x^2*(3*a^2*d^4 + b^2*c^2*d^2 - 5*a*b*c*d^3))/(a*c^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(9*a^2*d^3 + 4*b^2*c^2*d - 15*a*b*c*d^2))/(2*a*c^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(c^2*x + d^2*x^3 + 2*c*d*x^2) - (b^4*log(a + b*x))/(a^5*d^3 - a^2*b^3*c^3 + 3*a^3*b^2*c^2*d - 3*a^4*b*c*d^2) - (log(c + d*x)*(3*a^2*d^4 + 6*b^2*c^2*d^2 - 8*a*b*c*d^3))/(b^3*c^7 - a^3*c^4*d^3 + 3*a^2*b*c^5*d^2 - 3*a*b^2*c^6*d) - (log(x)*(3*a*d + b*c))/(a^2*c^4)","B"
259,1,374,165,0.095677,"\text{Not used}","int((x^4*(c + d*x)^2)/(a + b*x)^2,x)","x^3\,\left(\frac{c^2}{3\,b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{3\,b}-\frac{a^2\,d^2}{3\,b^4}\right)+x^2\,\left(\frac{a^2\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{2\,b^2}-\frac{a\,\left(\frac{c^2}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b}-\frac{a^2\,d^2}{b^4}\right)}{b}\right)-x^4\,\left(\frac{a\,d^2}{2\,b^3}-\frac{c\,d}{2\,b^2}\right)-x\,\left(\frac{2\,a\,\left(\frac{a^2\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b^2}-\frac{2\,a\,\left(\frac{c^2}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b}-\frac{a^2\,d^2}{b^4}\right)}{b}\right)}{b}+\frac{a^2\,\left(\frac{c^2}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b}-\frac{a^2\,d^2}{b^4}\right)}{b^2}\right)-\frac{a^6\,d^2-2\,a^5\,b\,c\,d+a^4\,b^2\,c^2}{b\,\left(x\,b^7+a\,b^6\right)}-\frac{\ln\left(a+b\,x\right)\,\left(6\,a^5\,d^2-10\,a^4\,b\,c\,d+4\,a^3\,b^2\,c^2\right)}{b^7}+\frac{d^2\,x^5}{5\,b^2}","Not used",1,"x^3*(c^2/(3*b^2) + (2*a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/(3*b) - (a^2*d^2)/(3*b^4)) + x^2*((a^2*((2*a*d^2)/b^3 - (2*c*d)/b^2))/(2*b^2) - (a*(c^2/b^2 + (2*a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b - (a^2*d^2)/b^4))/b) - x^4*((a*d^2)/(2*b^3) - (c*d)/(2*b^2)) - x*((2*a*((a^2*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b^2 - (2*a*(c^2/b^2 + (2*a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b - (a^2*d^2)/b^4))/b))/b + (a^2*(c^2/b^2 + (2*a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b - (a^2*d^2)/b^4))/b^2) - (a^6*d^2 + a^4*b^2*c^2 - 2*a^5*b*c*d)/(b*(a*b^6 + b^7*x)) - (log(a + b*x)*(6*a^5*d^2 + 4*a^3*b^2*c^2 - 10*a^4*b*c*d))/b^7 + (d^2*x^5)/(5*b^2)","B"
260,1,236,136,0.075603,"\text{Not used}","int((x^3*(c + d*x)^2)/(a + b*x)^2,x)","x\,\left(\frac{a^2\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b^2}-\frac{2\,a\,\left(\frac{c^2}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b}-\frac{a^2\,d^2}{b^4}\right)}{b}\right)+x^2\,\left(\frac{c^2}{2\,b^2}+\frac{a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b}-\frac{a^2\,d^2}{2\,b^4}\right)-x^3\,\left(\frac{2\,a\,d^2}{3\,b^3}-\frac{2\,c\,d}{3\,b^2}\right)+\frac{a^5\,d^2-2\,a^4\,b\,c\,d+a^3\,b^2\,c^2}{b\,\left(x\,b^6+a\,b^5\right)}+\frac{\ln\left(a+b\,x\right)\,\left(5\,a^4\,d^2-8\,a^3\,b\,c\,d+3\,a^2\,b^2\,c^2\right)}{b^6}+\frac{d^2\,x^4}{4\,b^2}","Not used",1,"x*((a^2*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b^2 - (2*a*(c^2/b^2 + (2*a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b - (a^2*d^2)/b^4))/b) + x^2*(c^2/(2*b^2) + (a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b - (a^2*d^2)/(2*b^4)) - x^3*((2*a*d^2)/(3*b^3) - (2*c*d)/(3*b^2)) + (a^5*d^2 + a^3*b^2*c^2 - 2*a^4*b*c*d)/(b*(a*b^5 + b^6*x)) + (log(a + b*x)*(5*a^4*d^2 + 3*a^2*b^2*c^2 - 8*a^3*b*c*d))/b^6 + (d^2*x^4)/(4*b^2)","B"
261,1,158,104,0.347336,"\text{Not used}","int((x^2*(c + d*x)^2)/(a + b*x)^2,x)","x\,\left(\frac{c^2}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)}{b}-\frac{a^2\,d^2}{b^4}\right)-x^2\,\left(\frac{a\,d^2}{b^3}-\frac{c\,d}{b^2}\right)-\frac{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2}{b\,\left(x\,b^5+a\,b^4\right)}-\frac{\ln\left(a+b\,x\right)\,\left(4\,a^3\,d^2-6\,a^2\,b\,c\,d+2\,a\,b^2\,c^2\right)}{b^5}+\frac{d^2\,x^3}{3\,b^2}","Not used",1,"x*(c^2/b^2 + (2*a*((2*a*d^2)/b^3 - (2*c*d)/b^2))/b - (a^2*d^2)/b^4) - x^2*((a*d^2)/b^3 - (c*d)/b^2) - (a^4*d^2 + a^2*b^2*c^2 - 2*a^3*b*c*d)/(b*(a*b^4 + b^5*x)) - (log(a + b*x)*(4*a^3*d^2 + 2*a*b^2*c^2 - 6*a^2*b*c*d))/b^5 + (d^2*x^3)/(3*b^2)","B"
262,1,105,77,0.073071,"\text{Not used}","int((x*(c + d*x)^2)/(a + b*x)^2,x)","\frac{\ln\left(a+b\,x\right)\,\left(3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{b^4}-x\,\left(\frac{2\,a\,d^2}{b^3}-\frac{2\,c\,d}{b^2}\right)+\frac{d^2\,x^2}{2\,b^2}+\frac{a^3\,d^2-2\,a^2\,b\,c\,d+a\,b^2\,c^2}{b\,\left(x\,b^4+a\,b^3\right)}","Not used",1,"(log(a + b*x)*(3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/b^4 - x*((2*a*d^2)/b^3 - (2*c*d)/b^2) + (d^2*x^2)/(2*b^2) + (a^3*d^2 + a*b^2*c^2 - 2*a^2*b*c*d)/(b*(a*b^3 + b^4*x))","B"
263,1,71,51,0.359951,"\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"
264,1,69,58,0.446697,"\text{Not used}","int((c + d*x)^2/(x*(a + b*x)^2),x)","\frac{c^2\,\ln\left(x\right)}{a^2}-\ln\left(a+b\,x\right)\,\left(\frac{c^2}{a^2}-\frac{d^2}{b^2}\right)+\frac{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}{a\,b^2\,\left(a+b\,x\right)}","Not used",1,"(c^2*log(x))/a^2 - log(a + b*x)*(c^2/a^2 - d^2/b^2) + (a^2*d^2 + b^2*c^2 - 2*a*b*c*d)/(a*b^2*(a + b*x))","B"
265,1,101,73,0.390340,"\text{Not used}","int((c + d*x)^2/(x^2*(a + b*x)^2),x)","\frac{4\,c\,\mathrm{atanh}\left(\frac{2\,c\,\left(a\,d-b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(2\,b\,c^2-2\,a\,c\,d\right)}\right)\,\left(a\,d-b\,c\right)}{a^3}-\frac{\frac{c^2}{a}+\frac{x\,\left(a^2\,d^2-2\,a\,b\,c\,d+2\,b^2\,c^2\right)}{a^2\,b}}{b\,x^2+a\,x}","Not used",1,"(4*c*atanh((2*c*(a*d - b*c)*(a + 2*b*x))/(a*(2*b*c^2 - 2*a*c*d)))*(a*d - b*c))/a^3 - (c^2/a + (x*(a^2*d^2 + 2*b^2*c^2 - 2*a*b*c*d))/(a^2*b))/(a*x + b*x^2)","B"
266,1,143,103,0.146684,"\text{Not used}","int((c + d*x)^2/(x^3*(a + b*x)^2),x)","-\frac{\frac{c^2}{2\,a}-\frac{x^2\,\left(a^2\,d^2-4\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a^3}+\frac{c\,x\,\left(4\,a\,d-3\,b\,c\right)}{2\,a^2}}{b\,x^3+a\,x^2}-\frac{2\,\mathrm{atanh}\left(\frac{\left(a\,d-b\,c\right)\,\left(a\,d-3\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(a^2\,d^2-4\,a\,b\,c\,d+3\,b^2\,c^2\right)}\right)\,\left(a\,d-b\,c\right)\,\left(a\,d-3\,b\,c\right)}{a^4}","Not used",1,"- (c^2/(2*a) - (x^2*(a^2*d^2 + 3*b^2*c^2 - 4*a*b*c*d))/a^3 + (c*x*(4*a*d - 3*b*c))/(2*a^2))/(a*x^2 + b*x^3) - (2*atanh(((a*d - b*c)*(a*d - 3*b*c)*(a + 2*b*x))/(a*(a^2*d^2 + 3*b^2*c^2 - 4*a*b*c*d)))*(a*d - b*c)*(a*d - 3*b*c))/a^4","B"
267,1,180,132,0.437687,"\text{Not used}","int((c + d*x)^2/(x^4*(a + b*x)^2),x)","\frac{4\,b\,\mathrm{atanh}\left(\frac{2\,b\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(2\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+4\,b^3\,c^2\right)}\right)\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{a^5}-\frac{\frac{c^2}{3\,a}+\frac{x^2\,\left(a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2\right)}{a^3}+\frac{2\,b\,x^3\,\left(a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2\right)}{a^4}+\frac{c\,x\,\left(3\,a\,d-2\,b\,c\right)}{3\,a^2}}{b\,x^4+a\,x^3}","Not used",1,"(4*b*atanh((2*b*(a*d - b*c)*(a*d - 2*b*c)*(a + 2*b*x))/(a*(4*b^3*c^2 + 2*a^2*b*d^2 - 6*a*b^2*c*d)))*(a*d - b*c)*(a*d - 2*b*c))/a^5 - (c^2/(3*a) + (x^2*(a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d))/a^3 + (2*b*x^3*(a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d))/a^4 + (c*x*(3*a*d - 2*b*c))/(3*a^2))/(a*x^3 + b*x^4)","B"
268,1,224,167,0.472786,"\text{Not used}","int((c + d*x)^2/(x^5*(a + b*x)^2),x)","-\frac{\frac{c^2}{4\,a}+\frac{x^2\,\left(3\,a^2\,d^2-8\,a\,b\,c\,d+5\,b^2\,c^2\right)}{6\,a^3}-\frac{b\,x^3\,\left(3\,a^2\,d^2-8\,a\,b\,c\,d+5\,b^2\,c^2\right)}{2\,a^4}+\frac{c\,x\,\left(8\,a\,d-5\,b\,c\right)}{12\,a^2}-\frac{b^2\,x^4\,\left(3\,a^2\,d^2-8\,a\,b\,c\,d+5\,b^2\,c^2\right)}{a^5}}{b\,x^5+a\,x^4}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{b^2\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-5\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(3\,a^2\,b^2\,d^2-8\,a\,b^3\,c\,d+5\,b^4\,c^2\right)}\right)\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-5\,b\,c\right)}{a^6}","Not used",1,"- (c^2/(4*a) + (x^2*(3*a^2*d^2 + 5*b^2*c^2 - 8*a*b*c*d))/(6*a^3) - (b*x^3*(3*a^2*d^2 + 5*b^2*c^2 - 8*a*b*c*d))/(2*a^4) + (c*x*(8*a*d - 5*b*c))/(12*a^2) - (b^2*x^4*(3*a^2*d^2 + 5*b^2*c^2 - 8*a*b*c*d))/a^5)/(a*x^4 + b*x^5) - (2*b^2*atanh((b^2*(a*d - b*c)*(3*a*d - 5*b*c)*(a + 2*b*x))/(a*(5*b^4*c^2 + 3*a^2*b^2*d^2 - 8*a*b^3*c*d)))*(a*d - b*c)*(3*a*d - 5*b*c))/a^6","B"
269,1,688,200,0.108230,"\text{Not used}","int((x^4*(c + d*x)^3)/(a + b*x)^2,x)","x^3\,\left(\frac{c^3}{3\,b^2}-\frac{2\,a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{3\,b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{3\,b^2}\right)-x^5\,\left(\frac{2\,a\,d^3}{5\,b^3}-\frac{3\,c\,d^2}{5\,b^2}\right)-x\,\left(\frac{a^2\,\left(\frac{c^3}{b^2}-\frac{2\,a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b^2}\right)}{b^2}-\frac{2\,a\,\left(\frac{a^2\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b^2}+\frac{2\,a\,\left(\frac{c^3}{b^2}-\frac{2\,a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b^2}\right)}{b}\right)}{b}\right)+x^4\,\left(\frac{3\,c^2\,d}{4\,b^2}+\frac{a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{2\,b}-\frac{a^2\,d^3}{4\,b^4}\right)-x^2\,\left(\frac{a^2\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{2\,b^2}+\frac{a\,\left(\frac{c^3}{b^2}-\frac{2\,a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b^2}\right)}{b}\right)+\frac{\ln\left(a+b\,x\right)\,\left(7\,a^6\,d^3-18\,a^5\,b\,c\,d^2+15\,a^4\,b^2\,c^2\,d-4\,a^3\,b^3\,c^3\right)}{b^8}+\frac{a^7\,d^3-3\,a^6\,b\,c\,d^2+3\,a^5\,b^2\,c^2\,d-a^4\,b^3\,c^3}{b\,\left(x\,b^8+a\,b^7\right)}+\frac{d^3\,x^6}{6\,b^2}","Not used",1,"x^3*(c^3/(3*b^2) - (2*a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/(3*b) + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/(3*b^2)) - x^5*((2*a*d^3)/(5*b^3) - (3*c*d^2)/(5*b^2)) - x*((a^2*(c^3/b^2 - (2*a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b^2))/b^2 - (2*a*((a^2*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b^2 + (2*a*(c^3/b^2 - (2*a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b^2))/b))/b) + x^4*((3*c^2*d)/(4*b^2) + (a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/(2*b) - (a^2*d^3)/(4*b^4)) - x^2*((a^2*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/(2*b^2) + (a*(c^3/b^2 - (2*a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b^2))/b) + (log(a + b*x)*(7*a^6*d^3 - 4*a^3*b^3*c^3 + 15*a^4*b^2*c^2*d - 18*a^5*b*c*d^2))/b^8 + (a^7*d^3 - a^4*b^3*c^3 + 3*a^5*b^2*c^2*d - 3*a^6*b*c*d^2)/(b*(a*b^7 + b^8*x)) + (d^3*x^6)/(6*b^2)","B"
270,1,438,164,0.091627,"\text{Not used}","int((x^3*(c + d*x)^3)/(a + b*x)^2,x)","x^2\,\left(\frac{c^3}{2\,b^2}-\frac{a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{2\,b^2}\right)-x^4\,\left(\frac{a\,d^3}{2\,b^3}-\frac{3\,c\,d^2}{4\,b^2}\right)-x\,\left(\frac{a^2\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b^2}+\frac{2\,a\,\left(\frac{c^3}{b^2}-\frac{2\,a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b^2}\right)}{b}\right)+x^3\,\left(\frac{c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{3\,b}-\frac{a^2\,d^3}{3\,b^4}\right)-\frac{\ln\left(a+b\,x\right)\,\left(6\,a^5\,d^3-15\,a^4\,b\,c\,d^2+12\,a^3\,b^2\,c^2\,d-3\,a^2\,b^3\,c^3\right)}{b^7}-\frac{a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3}{b\,\left(x\,b^7+a\,b^6\right)}+\frac{d^3\,x^5}{5\,b^2}","Not used",1,"x^2*(c^3/(2*b^2) - (a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/(2*b^2)) - x^4*((a*d^3)/(2*b^3) - (3*c*d^2)/(4*b^2)) - x*((a^2*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b^2 + (2*a*(c^3/b^2 - (2*a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b^2))/b) + x^3*((c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/(3*b) - (a^2*d^3)/(3*b^4)) - (log(a + b*x)*(6*a^5*d^3 - 3*a^2*b^3*c^3 + 12*a^3*b^2*c^2*d - 15*a^4*b*c*d^2))/b^7 - (a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)/(b*(a*b^6 + b^7*x)) + (d^3*x^5)/(5*b^2)","B"
271,1,281,136,0.085373,"\text{Not used}","int((x^2*(c + d*x)^3)/(a + b*x)^2,x)","x\,\left(\frac{c^3}{b^2}-\frac{2\,a\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b^2}\right)-x^3\,\left(\frac{2\,a\,d^3}{3\,b^3}-\frac{c\,d^2}{b^2}\right)+x^2\,\left(\frac{3\,c^2\,d}{2\,b^2}+\frac{a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{2\,b^4}\right)+\frac{a^5\,d^3-3\,a^4\,b\,c\,d^2+3\,a^3\,b^2\,c^2\,d-a^2\,b^3\,c^3}{b\,\left(x\,b^6+a\,b^5\right)}+\frac{d^3\,x^4}{4\,b^2}+\frac{\ln\left(a+b\,x\right)\,\left(5\,a^4\,d^3-12\,a^3\,b\,c\,d^2+9\,a^2\,b^2\,c^2\,d-2\,a\,b^3\,c^3\right)}{b^6}","Not used",1,"x*(c^3/b^2 - (2*a*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4))/b + (a^2*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b^2) - x^3*((2*a*d^3)/(3*b^3) - (c*d^2)/b^2) + x^2*((3*c^2*d)/(2*b^2) + (a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/(2*b^4)) + (a^5*d^3 - a^2*b^3*c^3 + 3*a^3*b^2*c^2*d - 3*a^4*b*c*d^2)/(b*(a*b^5 + b^6*x)) + (d^3*x^4)/(4*b^2) + (log(a + b*x)*(5*a^4*d^3 - 2*a*b^3*c^3 + 9*a^2*b^2*c^2*d - 12*a^3*b*c*d^2))/b^6","B"
272,1,188,103,0.073440,"\text{Not used}","int((x*(c + d*x)^3)/(a + b*x)^2,x)","x\,\left(\frac{3\,c^2\,d}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)}{b}-\frac{a^2\,d^3}{b^4}\right)-x^2\,\left(\frac{a\,d^3}{b^3}-\frac{3\,c\,d^2}{2\,b^2}\right)-\frac{a^4\,d^3-3\,a^3\,b\,c\,d^2+3\,a^2\,b^2\,c^2\,d-a\,b^3\,c^3}{b\,\left(x\,b^5+a\,b^4\right)}+\frac{d^3\,x^3}{3\,b^2}-\frac{\ln\left(a+b\,x\right)\,\left(4\,a^3\,d^3-9\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{b^5}","Not used",1,"x*((3*c^2*d)/b^2 + (2*a*((2*a*d^3)/b^3 - (3*c*d^2)/b^2))/b - (a^2*d^3)/b^4) - x^2*((a*d^3)/b^3 - (3*c*d^2)/(2*b^2)) - (a^4*d^3 - a*b^3*c^3 + 3*a^2*b^2*c^2*d - 3*a^3*b*c*d^2)/(b*(a*b^4 + b^5*x)) + (d^3*x^3)/(3*b^2) - (log(a + b*x)*(4*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 9*a^2*b*c*d^2))/b^5","B"
273,1,123,75,0.377369,"\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"
274,1,109,74,0.417317,"\text{Not used}","int((c + d*x)^3/(x*(a + b*x)^2),x)","\frac{d^3\,x}{b^2}-\ln\left(a+b\,x\right)\,\left(\frac{c^3}{a^2}+\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)+\frac{c^3\,\ln\left(x\right)}{a^2}-\frac{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}{a\,b\,\left(x\,b^3+a\,b^2\right)}","Not used",1,"(d^3*x)/b^2 - log(a + b*x)*(c^3/a^2 + (2*a*d^3)/b^3 - (3*c*d^2)/b^2) + (c^3*log(x))/a^2 - (a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)/(a*b*(a*b^2 + b^3*x))","B"
275,1,118,87,0.485124,"\text{Not used}","int((c + d*x)^3/(x^2*(a + b*x)^2),x)","\ln\left(a+b\,x\right)\,\left(\frac{d^3}{b^2}+\frac{2\,b\,c^3}{a^3}-\frac{3\,c^2\,d}{a^2}\right)-\frac{\frac{c^3}{a}-\frac{x\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}{a^2\,b^2}}{b\,x^2+a\,x}+\frac{c^2\,\ln\left(x\right)\,\left(3\,a\,d-2\,b\,c\right)}{a^3}","Not used",1,"log(a + b*x)*(d^3/b^2 + (2*b*c^3)/a^3 - (3*c^2*d)/a^2) - (c^3/a - (x*(a^3*d^3 - 2*b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a^2*b^2))/(a*x + b*x^2) + (c^2*log(x)*(3*a*d - 2*b*c))/a^3","B"
276,1,156,97,0.139973,"\text{Not used}","int((c + d*x)^3/(x^3*(a + b*x)^2),x)","-\frac{\frac{c^3}{2\,a}+\frac{3\,c^2\,x\,\left(2\,a\,d-b\,c\right)}{2\,a^2}+\frac{x^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-3\,b^3\,c^3\right)}{a^3\,b}}{b\,x^3+a\,x^2}-\frac{6\,c\,\mathrm{atanh}\left(\frac{3\,c\,{\left(a\,d-b\,c\right)}^2\,\left(a+2\,b\,x\right)}{a\,\left(3\,a^2\,c\,d^2-6\,a\,b\,c^2\,d+3\,b^2\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{a^4}","Not used",1,"- (c^3/(2*a) + (3*c^2*x*(2*a*d - b*c))/(2*a^2) + (x^2*(a^3*d^3 - 3*b^3*c^3 + 6*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a^3*b))/(a*x^2 + b*x^3) - (6*c*atanh((3*c*(a*d - b*c)^2*(a + 2*b*x))/(a*(3*b^2*c^3 + 3*a^2*c*d^2 - 6*a*b*c^2*d)))*(a*d - b*c)^2)/a^4","B"
277,1,209,132,0.438105,"\text{Not used}","int((c + d*x)^3/(x^4*(a + b*x)^2),x)","-\frac{\frac{c^3}{3\,a}-\frac{x^3\,\left(a^3\,d^3-6\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d-4\,b^3\,c^3\right)}{a^4}+\frac{c^2\,x\,\left(9\,a\,d-4\,b\,c\right)}{6\,a^2}+\frac{c\,x^2\,\left(6\,a^2\,d^2-9\,a\,b\,c\,d+4\,b^2\,c^2\right)}{2\,a^3}}{b\,x^4+a\,x^3}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,d-b\,c\right)}^2\,\left(a\,d-4\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(a^3\,d^3-6\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d-4\,b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\left(a\,d-4\,b\,c\right)}{a^5}","Not used",1,"- (c^3/(3*a) - (x^3*(a^3*d^3 - 4*b^3*c^3 + 9*a*b^2*c^2*d - 6*a^2*b*c*d^2))/a^4 + (c^2*x*(9*a*d - 4*b*c))/(6*a^2) + (c*x^2*(6*a^2*d^2 + 4*b^2*c^2 - 9*a*b*c*d))/(2*a^3))/(a*x^3 + b*x^4) - (2*atanh(((a*d - b*c)^2*(a*d - 4*b*c)*(a + 2*b*x))/(a*(a^3*d^3 - 4*b^3*c^3 + 9*a*b^2*c^2*d - 6*a^2*b*c*d^2)))*(a*d - b*c)^2*(a*d - 4*b*c))/a^5","B"
278,1,263,162,0.508430,"\text{Not used}","int((c + d*x)^3/(x^5*(a + b*x)^2),x)","-\frac{\frac{c^3}{4\,a}+\frac{x^3\,\left(2\,a^3\,d^3-9\,a^2\,b\,c\,d^2+12\,a\,b^2\,c^2\,d-5\,b^3\,c^3\right)}{2\,a^4}+\frac{c^2\,x\,\left(12\,a\,d-5\,b\,c\right)}{12\,a^2}+\frac{c\,x^2\,\left(9\,a^2\,d^2-12\,a\,b\,c\,d+5\,b^2\,c^2\right)}{6\,a^3}+\frac{b\,x^4\,\left(2\,a^3\,d^3-9\,a^2\,b\,c\,d^2+12\,a\,b^2\,c^2\,d-5\,b^3\,c^3\right)}{a^5}}{b\,x^5+a\,x^4}-\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a\,d-5\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(-2\,a^3\,b\,d^3+9\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+5\,b^4\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a\,d-5\,b\,c\right)}{a^6}","Not used",1,"- (c^3/(4*a) + (x^3*(2*a^3*d^3 - 5*b^3*c^3 + 12*a*b^2*c^2*d - 9*a^2*b*c*d^2))/(2*a^4) + (c^2*x*(12*a*d - 5*b*c))/(12*a^2) + (c*x^2*(9*a^2*d^2 + 5*b^2*c^2 - 12*a*b*c*d))/(6*a^3) + (b*x^4*(2*a^3*d^3 - 5*b^3*c^3 + 12*a*b^2*c^2*d - 9*a^2*b*c*d^2))/a^5)/(a*x^4 + b*x^5) - (2*b*atanh((b*(a*d - b*c)^2*(2*a*d - 5*b*c)*(a + 2*b*x))/(a*(5*b^4*c^3 - 2*a^3*b*d^3 + 9*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d)))*(a*d - b*c)^2*(2*a*d - 5*b*c))/a^6","B"
279,1,314,199,0.515385,"\text{Not used}","int((c + d*x)^3/(x^6*(a + b*x)^2),x)","\frac{6\,b^2\,\mathrm{atanh}\left(\frac{3\,b^2\,{\left(a\,d-b\,c\right)}^2\,\left(a\,d-2\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(-3\,a^3\,b^2\,d^3+12\,a^2\,b^3\,c\,d^2-15\,a\,b^4\,c^2\,d+6\,b^5\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\left(a\,d-2\,b\,c\right)}{a^7}-\frac{\frac{c^3}{5\,a}+\frac{x^3\,\left(a^3\,d^3-4\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}{2\,a^4}+\frac{3\,c^2\,x\,\left(5\,a\,d-2\,b\,c\right)}{20\,a^2}-\frac{3\,b^2\,x^5\,\left(a^3\,d^3-4\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}{a^6}+\frac{c\,x^2\,\left(4\,a^2\,d^2-5\,a\,b\,c\,d+2\,b^2\,c^2\right)}{4\,a^3}-\frac{3\,b\,x^4\,\left(a^3\,d^3-4\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}{2\,a^5}}{b\,x^6+a\,x^5}","Not used",1,"(6*b^2*atanh((3*b^2*(a*d - b*c)^2*(a*d - 2*b*c)*(a + 2*b*x))/(a*(6*b^5*c^3 - 3*a^3*b^2*d^3 + 12*a^2*b^3*c*d^2 - 15*a*b^4*c^2*d)))*(a*d - b*c)^2*(a*d - 2*b*c))/a^7 - (c^3/(5*a) + (x^3*(a^3*d^3 - 2*b^3*c^3 + 5*a*b^2*c^2*d - 4*a^2*b*c*d^2))/(2*a^4) + (3*c^2*x*(5*a*d - 2*b*c))/(20*a^2) - (3*b^2*x^5*(a^3*d^3 - 2*b^3*c^3 + 5*a*b^2*c^2*d - 4*a^2*b*c*d^2))/a^6 + (c*x^2*(4*a^2*d^2 + 2*b^2*c^2 - 5*a*b*c*d))/(4*a^3) - (3*b*x^4*(a^3*d^3 - 2*b^3*c^3 + 5*a*b^2*c^2*d - 4*a^2*b*c*d^2))/(2*a^5))/(a*x^5 + b*x^6)","B"
280,1,344,179,0.722112,"\text{Not used}","int(x^6/((a + b*x)^2*(c + d*x)^2),x)","x\,\left(\frac{4\,{\left(a\,d+b\,c\right)}^2}{b^4\,d^4}-\frac{a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2}{b^4\,d^4}\right)-\frac{\frac{a^6\,c\,d^5+a\,b^5\,c^6}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(a^6\,d^6+b^6\,c^6\right)}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(c\,b^5\,d^4+a\,b^4\,d^5\right)+b^5\,d^5\,x^2+a\,b^4\,c\,d^4}+\frac{\ln\left(a+b\,x\right)\,\left(4\,a^6\,d-6\,a^5\,b\,c\right)}{-a^3\,b^5\,d^3+3\,a^2\,b^6\,c\,d^2-3\,a\,b^7\,c^2\,d+b^8\,c^3}+\frac{\ln\left(c+d\,x\right)\,\left(4\,b\,c^6-6\,a\,c^5\,d\right)}{a^3\,d^8-3\,a^2\,b\,c\,d^7+3\,a\,b^2\,c^2\,d^6-b^3\,c^3\,d^5}+\frac{x^3}{3\,b^2\,d^2}-\frac{x^2\,\left(a\,d+b\,c\right)}{b^3\,d^3}","Not used",1,"x*((4*(a*d + b*c)^2)/(b^4*d^4) - (a^2*d^2 + b^2*c^2 + 4*a*b*c*d)/(b^4*d^4)) - ((a*b^5*c^6 + a^6*c*d^5)/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(a^6*d^6 + b^6*c^6))/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(a*b^4*d^5 + b^5*c*d^4) + b^5*d^5*x^2 + a*b^4*c*d^4) + (log(a + b*x)*(4*a^6*d - 6*a^5*b*c))/(b^8*c^3 - a^3*b^5*d^3 + 3*a^2*b^6*c*d^2 - 3*a*b^7*c^2*d) + (log(c + d*x)*(4*b*c^6 - 6*a*c^5*d))/(a^3*d^8 - b^3*c^3*d^5 + 3*a*b^2*c^2*d^6 - 3*a^2*b*c*d^7) + x^3/(3*b^2*d^2) - (x^2*(a*d + b*c))/(b^3*d^3)","B"
281,1,334,142,0.641166,"\text{Not used}","int(x^5/((a + b*x)^2*(c + d*x)^2),x)","\frac{\frac{a^5\,c\,d^4+a\,b^4\,c^5}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(a\,d+b\,c\right)\,\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)}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(c\,b^4\,d^3+a\,b^3\,d^4\right)+b^4\,d^4\,x^2+a\,b^3\,c\,d^3}-\frac{\ln\left(a+b\,x\right)\,\left(3\,a^5\,d-5\,a^4\,b\,c\right)}{-a^3\,b^4\,d^3+3\,a^2\,b^5\,c\,d^2-3\,a\,b^6\,c^2\,d+b^7\,c^3}-\frac{\ln\left(c+d\,x\right)\,\left(3\,b\,c^5-5\,a\,c^4\,d\right)}{a^3\,d^7-3\,a^2\,b\,c\,d^6+3\,a\,b^2\,c^2\,d^5-b^3\,c^3\,d^4}+\frac{x^2}{2\,b^2\,d^2}-\frac{2\,x\,\left(a\,d+b\,c\right)}{b^3\,d^3}","Not used",1,"((a*b^4*c^5 + a^5*c*d^4)/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(a*d + b*c)*(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))/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(a*b^3*d^4 + b^4*c*d^3) + b^4*d^4*x^2 + a*b^3*c*d^3) - (log(a + b*x)*(3*a^5*d - 5*a^4*b*c))/(b^7*c^3 - a^3*b^4*d^3 + 3*a^2*b^5*c*d^2 - 3*a*b^6*c^2*d) - (log(c + d*x)*(3*b*c^5 - 5*a*c^4*d))/(a^3*d^7 - b^3*c^3*d^4 + 3*a*b^2*c^2*d^5 - 3*a^2*b*c*d^6) + x^2/(2*b^2*d^2) - (2*x*(a*d + b*c))/(b^3*d^3)","B"
282,1,274,124,0.597092,"\text{Not used}","int(x^4/((a + b*x)^2*(c + d*x)^2),x)","\frac{x}{b^2\,d^2}-\frac{\frac{x\,\left(a^4\,d^4+b^4\,c^4\right)}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{a\,c\,\left(a^3\,d^3+b^3\,c^3\right)}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(c\,b^3\,d^2+a\,b^2\,d^3\right)+b^3\,d^3\,x^2+a\,b^2\,c\,d^2}+\frac{\ln\left(a+b\,x\right)\,\left(2\,a^4\,d-4\,a^3\,b\,c\right)}{-a^3\,b^3\,d^3+3\,a^2\,b^4\,c\,d^2-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{\ln\left(c+d\,x\right)\,\left(2\,b\,c^4-4\,a\,c^3\,d\right)}{a^3\,d^6-3\,a^2\,b\,c\,d^5+3\,a\,b^2\,c^2\,d^4-b^3\,c^3\,d^3}","Not used",1,"x/(b^2*d^2) - ((x*(a^4*d^4 + b^4*c^4))/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (a*c*(a^3*d^3 + b^3*c^3))/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(a*b^2*d^3 + b^3*c*d^2) + b^3*d^3*x^2 + a*b^2*c*d^2) + (log(a + b*x)*(2*a^4*d - 4*a^3*b*c))/(b^6*c^3 - a^3*b^3*d^3 + 3*a^2*b^4*c*d^2 - 3*a*b^5*c^2*d) + (log(c + d*x)*(2*b*c^4 - 4*a*c^3*d))/(a^3*d^6 - b^3*c^3*d^3 + 3*a*b^2*c^2*d^4 - 3*a^2*b*c*d^5)","B"
283,1,258,112,0.533004,"\text{Not used}","int(x^3/((a + b*x)^2*(c + d*x)^2),x)","\frac{\frac{a\,c\,\left(a^2\,d^2+b^2\,c^2\right)}{b^2\,d^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(a\,d+b\,c\right)\,\left(a^2\,d^2-a\,b\,c\,d+b^2\,c^2\right)}{b^2\,d^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b\,d\,x^2+\left(a\,d+b\,c\right)\,x+a\,c}-\frac{\ln\left(a+b\,x\right)\,\left(a^3\,d-3\,a^2\,b\,c\right)}{-a^3\,b^2\,d^3+3\,a^2\,b^3\,c\,d^2-3\,a\,b^4\,c^2\,d+b^5\,c^3}-\frac{\ln\left(c+d\,x\right)\,\left(b\,c^3-3\,a\,c^2\,d\right)}{a^3\,d^5-3\,a^2\,b\,c\,d^4+3\,a\,b^2\,c^2\,d^3-b^3\,c^3\,d^2}","Not used",1,"((a*c*(a^2*d^2 + b^2*c^2))/(b^2*d^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(a*d + b*c)*(a^2*d^2 + b^2*c^2 - a*b*c*d))/(b^2*d^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(a*c + x*(a*d + b*c) + b*d*x^2) - (log(a + b*x)*(a^3*d - 3*a^2*b*c))/(b^5*c^3 - a^3*b^2*d^3 + 3*a^2*b^3*c*d^2 - 3*a*b^4*c^2*d) - (log(c + d*x)*(b*c^3 - 3*a*c^2*d))/(a^3*d^5 - b^3*c^3*d^2 + 3*a*b^2*c^2*d^3 - 3*a^2*b*c*d^4)","B"
284,1,208,91,0.446404,"\text{Not used}","int(x^2/((a + b*x)^2*(c + d*x)^2),x)","\frac{4\,a\,c\,\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}-\frac{\frac{x\,\left(a^2\,d^2+b^2\,c^2\right)}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{a\,c\,\left(a\,d+b\,c\right)}{b\,d\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b\,d\,x^2+\left(a\,d+b\,c\right)\,x+a\,c}","Not used",1,"(4*a*c*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 - ((x*(a^2*d^2 + b^2*c^2))/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (a*c*(a*d + b*c))/(b*d*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(a*c + x*(a*d + b*c) + b*d*x^2)","B"
285,1,147,88,0.160454,"\text{Not used}","int(x/((a + b*x)^2*(c + d*x)^2),x)","\frac{\frac{2\,a\,c}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}+\frac{x\,\left(a\,d+b\,c\right)}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{b\,d\,x^2+\left(a\,d+b\,c\right)\,x+a\,c}-\frac{2\,\mathrm{atanh}\left(\frac{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a\,d+b\,c+2\,b\,d\,x\right)}{{\left(a\,d-b\,c\right)}^3}\right)\,\left(a\,d+b\,c\right)}{{\left(a\,d-b\,c\right)}^3}","Not used",1,"((2*a*c)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (x*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*c + x*(a*d + b*c) + b*d*x^2) - (2*atanh(((a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a*d + b*c + 2*b*d*x))/(a*d - b*c)^3)*(a*d + b*c))/(a*d - b*c)^3","B"
286,1,74,81,0.444519,"\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"
287,1,183,123,0.878353,"\text{Not used}","int(1/(x*(a + b*x)^2*(c + d*x)^2),x)","\frac{\frac{a^2\,d^2+b^2\,c^2}{a\,c\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{b\,d\,x\,\left(a\,d+b\,c\right)}{a\,c\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b\,d\,x^2+\left(a\,d+b\,c\right)\,x+a\,c}+\frac{\ln\left(x\right)}{a^2\,c^2}-\frac{b^2\,\ln\left(a+b\,x\right)\,\left(3\,a\,d-b\,c\right)}{a^2\,{\left(a\,d-b\,c\right)}^3}-\frac{d^2\,\ln\left(c+d\,x\right)\,\left(a\,d-3\,b\,c\right)}{c^2\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((a^2*d^2 + b^2*c^2)/(a*c*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (b*d*x*(a*d + b*c))/(a*c*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(a*c + x*(a*d + b*c) + b*d*x^2) + log(x)/(a^2*c^2) - (b^2*log(a + b*x)*(3*a*d - b*c))/(a^2*(a*d - b*c)^3) - (d^2*log(c + d*x)*(a*d - 3*b*c))/(c^2*(a*d - b*c)^3)","B"
288,1,304,144,0.934631,"\text{Not used}","int(1/(x^2*(a + b*x)^2*(c + d*x)^2),x)","-\frac{\frac{1}{a\,c}+\frac{2\,x^2\,\left(a^2\,b\,d^3-a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}{a^2\,c^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(a\,d+b\,c\right)\,\left(2\,a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2\right)}{a^2\,c^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b\,d\,x^3+\left(a\,d+b\,c\right)\,x^2+a\,c\,x}-\frac{\ln\left(a+b\,x\right)\,\left(2\,b^4\,c-4\,a\,b^3\,d\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3}-\frac{\ln\left(c+d\,x\right)\,\left(2\,a\,d^4-4\,b\,c\,d^3\right)}{-a^3\,c^3\,d^3+3\,a^2\,b\,c^4\,d^2-3\,a\,b^2\,c^5\,d+b^3\,c^6}-\frac{2\,\ln\left(x\right)\,\left(a\,d+b\,c\right)}{a^3\,c^3}","Not used",1,"- (1/(a*c) + (2*x^2*(a^2*b*d^3 + b^3*c^2*d - a*b^2*c*d^2))/(a^2*c^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(a*d + b*c)*(2*a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d))/(a^2*c^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x^2*(a*d + b*c) + a*c*x + b*d*x^3) - (log(a + b*x)*(2*b^4*c - 4*a*b^3*d))/(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2) - (log(c + d*x)*(2*a*d^4 - 4*b*c*d^3))/(b^3*c^6 - a^3*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d) - (2*log(x)*(a*d + b*c))/(a^3*c^3)","B"
289,1,367,178,1.058328,"\text{Not used}","int(1/(x^3*(a + b*x)^2*(c + d*x)^2),x)","\frac{\ln\left(a+b\,x\right)\,\left(3\,b^5\,c-5\,a\,b^4\,d\right)}{a^7\,d^3-3\,a^6\,b\,c\,d^2+3\,a^5\,b^2\,c^2\,d-a^4\,b^3\,c^3}-\frac{\frac{1}{2\,a\,c}-\frac{3\,x\,\left(a\,d+b\,c\right)}{2\,a^2\,c^2}+\frac{x^2\,\left(-6\,a^4\,d^4+a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2+a\,b^3\,c^3\,d-6\,b^4\,c^4\right)}{2\,a^3\,c^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{x^3\,\left(a\,d+b\,c\right)\,\left(3\,a^2\,b\,d^3-5\,a\,b^2\,c\,d^2+3\,b^3\,c^2\,d\right)}{a^3\,c^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b\,d\,x^4+\left(a\,d+b\,c\right)\,x^3+a\,c\,x^2}+\frac{\ln\left(c+d\,x\right)\,\left(3\,a\,d^5-5\,b\,c\,d^4\right)}{-a^3\,c^4\,d^3+3\,a^2\,b\,c^5\,d^2-3\,a\,b^2\,c^6\,d+b^3\,c^7}+\frac{\ln\left(x\right)\,\left(3\,a^2\,d^2+4\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a^4\,c^4}","Not used",1,"(log(a + b*x)*(3*b^5*c - 5*a*b^4*d))/(a^7*d^3 - a^4*b^3*c^3 + 3*a^5*b^2*c^2*d - 3*a^6*b*c*d^2) - (1/(2*a*c) - (3*x*(a*d + b*c))/(2*a^2*c^2) + (x^2*(6*a^2*b^2*c^2*d^2 - 6*b^4*c^4 - 6*a^4*d^4 + a*b^3*c^3*d + a^3*b*c*d^3))/(2*a^3*c^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (x^3*(a*d + b*c)*(3*a^2*b*d^3 + 3*b^3*c^2*d - 5*a*b^2*c*d^2))/(a^3*c^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x^3*(a*d + b*c) + a*c*x^2 + b*d*x^4) + (log(c + d*x)*(3*a*d^5 - 5*b*c*d^4))/(b^3*c^7 - a^3*c^4*d^3 + 3*a^2*b*c^5*d^2 - 3*a*b^2*c^6*d) + (log(x)*(3*a^2*d^2 + 3*b^2*c^2 + 4*a*b*c*d))/(a^4*c^4)","B"
290,1,543,231,0.623571,"\text{Not used}","int(x^7/((a + b*x)^2*(c + d*x)^3),x)","\frac{x^3}{3\,b^2\,d^3}-\frac{\frac{2\,a^7\,c^2\,d^6+13\,a^2\,b^5\,c^7\,d-9\,a\,b^6\,c^8}{2\,b\,d\,\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{x^2\,\left(a^7\,d^7+7\,a\,b^6\,c^6\,d-5\,b^7\,c^7\right)}{b\,\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{x\,\left(4\,a^7\,c\,d^7+14\,a^2\,b^5\,c^6\,d^2+3\,a\,b^6\,c^7\,d-9\,b^7\,c^8\right)}{2\,b\,d\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{x^2\,\left(2\,c\,b^5\,d^6+a\,b^4\,d^7\right)+x\,\left(b^5\,c^2\,d^5+2\,a\,b^4\,c\,d^6\right)+b^5\,d^7\,x^3+a\,b^4\,c^2\,d^5}-x\,\left(\frac{a^2\,d^3+6\,a\,b\,c\,d^2+3\,b^2\,c^2\,d}{b^4\,d^6}-\frac{{\left(2\,a\,d+3\,b\,c\right)}^2}{b^4\,d^5}\right)-\ln\left(c+d\,x\right)\,\left(\frac{21\,c^5}{d^6\,{\left(a\,d-b\,c\right)}^2}+\frac{14\,b\,c^6}{d^6\,{\left(a\,d-b\,c\right)}^3}+\frac{3\,b^2\,c^7}{d^6\,{\left(a\,d-b\,c\right)}^4}\right)-\frac{\ln\left(a+b\,x\right)\,\left(4\,a^7\,d-7\,a^6\,b\,c\right)}{a^4\,b^5\,d^4-4\,a^3\,b^6\,c\,d^3+6\,a^2\,b^7\,c^2\,d^2-4\,a\,b^8\,c^3\,d+b^9\,c^4}-\frac{x^2\,\left(2\,a\,d+3\,b\,c\right)}{2\,b^3\,d^4}","Not used",1,"x^3/(3*b^2*d^3) - ((2*a^7*c^2*d^6 - 9*a*b^6*c^8 + 13*a^2*b^5*c^7*d)/(2*b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (x^2*(a^7*d^7 - 5*b^7*c^7 + 7*a*b^6*c^6*d))/(b*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (x*(4*a^7*c*d^7 - 9*b^7*c^8 + 14*a^2*b^5*c^6*d^2 + 3*a*b^6*c^7*d))/(2*b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/(x^2*(a*b^4*d^7 + 2*b^5*c*d^6) + x*(b^5*c^2*d^5 + 2*a*b^4*c*d^6) + b^5*d^7*x^3 + a*b^4*c^2*d^5) - x*((a^2*d^3 + 3*b^2*c^2*d + 6*a*b*c*d^2)/(b^4*d^6) - (2*a*d + 3*b*c)^2/(b^4*d^5)) - log(c + d*x)*((21*c^5)/(d^6*(a*d - b*c)^2) + (14*b*c^6)/(d^6*(a*d - b*c)^3) + (3*b^2*c^7)/(d^6*(a*d - b*c)^4)) - (log(a + b*x)*(4*a^7*d - 7*a^6*b*c))/(b^9*c^4 + a^4*b^5*d^4 - 4*a^3*b^6*c*d^3 + 6*a^2*b^7*c^2*d^2 - 4*a*b^8*c^3*d) - (x^2*(2*a*d + 3*b*c))/(2*b^3*d^4)","B"
291,1,508,198,0.826337,"\text{Not used}","int(x^6/((a + b*x)^2*(c + d*x)^3),x)","\frac{\frac{2\,a^6\,c^2\,d^5+11\,a^2\,b^4\,c^6\,d-7\,a\,b^5\,c^7}{2\,b\,d\,\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{x^2\,\left(a^6\,d^6+6\,a\,b^5\,c^5\,d-4\,b^6\,c^6\right)}{b\,\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{x\,\left(4\,a^6\,c\,d^6+12\,a^2\,b^4\,c^5\,d^2+3\,a\,b^5\,c^6\,d-7\,b^6\,c^7\right)}{2\,b\,d\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{x^2\,\left(2\,c\,b^4\,d^5+a\,b^3\,d^6\right)+x\,\left(b^4\,c^2\,d^4+2\,a\,b^3\,c\,d^5\right)+b^4\,d^6\,x^3+a\,b^3\,c^2\,d^4}+\frac{\ln\left(c+d\,x\right)\,\left(15\,a^2\,c^4\,d^2-18\,a\,b\,c^5\,d+6\,b^2\,c^6\right)}{a^4\,d^9-4\,a^3\,b\,c\,d^8+6\,a^2\,b^2\,c^2\,d^7-4\,a\,b^3\,c^3\,d^6+b^4\,c^4\,d^5}+\frac{x^2}{2\,b^2\,d^3}+\frac{\ln\left(a+b\,x\right)\,\left(3\,a^6\,d-6\,a^5\,b\,c\right)}{a^4\,b^4\,d^4-4\,a^3\,b^5\,c\,d^3+6\,a^2\,b^6\,c^2\,d^2-4\,a\,b^7\,c^3\,d+b^8\,c^4}-\frac{x\,\left(2\,a\,d+3\,b\,c\right)}{b^3\,d^4}","Not used",1,"((2*a^6*c^2*d^5 - 7*a*b^5*c^7 + 11*a^2*b^4*c^6*d)/(2*b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (x^2*(a^6*d^6 - 4*b^6*c^6 + 6*a*b^5*c^5*d))/(b*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (x*(4*a^6*c*d^6 - 7*b^6*c^7 + 12*a^2*b^4*c^5*d^2 + 3*a*b^5*c^6*d))/(2*b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/(x^2*(a*b^3*d^6 + 2*b^4*c*d^5) + x*(b^4*c^2*d^4 + 2*a*b^3*c*d^5) + b^4*d^6*x^3 + a*b^3*c^2*d^4) + (log(c + d*x)*(6*b^2*c^6 + 15*a^2*c^4*d^2 - 18*a*b*c^5*d))/(a^4*d^9 + b^4*c^4*d^5 - 4*a*b^3*c^3*d^6 + 6*a^2*b^2*c^2*d^7 - 4*a^3*b*c*d^8) + x^2/(2*b^2*d^3) + (log(a + b*x)*(3*a^6*d - 6*a^5*b*c))/(b^8*c^4 + a^4*b^4*d^4 - 4*a^3*b^5*c*d^3 + 6*a^2*b^6*c^2*d^2 - 4*a*b^7*c^3*d) - (x*(2*a*d + 3*b*c))/(b^3*d^4)","B"
292,1,488,173,0.745843,"\text{Not used}","int(x^5/((a + b*x)^2*(c + d*x)^3),x)","\frac{x}{b^2\,d^3}-\frac{\ln\left(c+d\,x\right)\,\left(10\,a^2\,c^3\,d^2-10\,a\,b\,c^4\,d+3\,b^2\,c^5\right)}{a^4\,d^8-4\,a^3\,b\,c\,d^7+6\,a^2\,b^2\,c^2\,d^6-4\,a\,b^3\,c^3\,d^5+b^4\,c^4\,d^4}-\frac{\frac{x^2\,\left(a^5\,d^5+5\,a\,b^4\,c^4\,d-3\,b^5\,c^5\right)}{b\,\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{a\,c^2\,\left(2\,a^4\,d^4+9\,a\,b^3\,c^3\,d-5\,b^4\,c^4\right)}{2\,b\,d\,\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{c\,x\,\left(4\,a^5\,d^5+10\,a^2\,b^3\,c^3\,d^2+3\,a\,b^4\,c^4\,d-5\,b^5\,c^5\right)}{2\,b\,d\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{x^2\,\left(2\,c\,b^3\,d^4+a\,b^2\,d^5\right)+x\,\left(b^3\,c^2\,d^3+2\,a\,b^2\,c\,d^4\right)+b^3\,d^5\,x^3+a\,b^2\,c^2\,d^3}-\frac{\ln\left(a+b\,x\right)\,\left(2\,a^5\,d-5\,a^4\,b\,c\right)}{a^4\,b^3\,d^4-4\,a^3\,b^4\,c\,d^3+6\,a^2\,b^5\,c^2\,d^2-4\,a\,b^6\,c^3\,d+b^7\,c^4}","Not used",1,"x/(b^2*d^3) - (log(c + d*x)*(3*b^2*c^5 + 10*a^2*c^3*d^2 - 10*a*b*c^4*d))/(a^4*d^8 + b^4*c^4*d^4 - 4*a*b^3*c^3*d^5 + 6*a^2*b^2*c^2*d^6 - 4*a^3*b*c*d^7) - ((x^2*(a^5*d^5 - 3*b^5*c^5 + 5*a*b^4*c^4*d))/(b*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (a*c^2*(2*a^4*d^4 - 5*b^4*c^4 + 9*a*b^3*c^3*d))/(2*b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (c*x*(4*a^5*d^5 - 5*b^5*c^5 + 10*a^2*b^3*c^3*d^2 + 3*a*b^4*c^4*d))/(2*b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/(x^2*(a*b^2*d^5 + 2*b^3*c*d^4) + x*(b^3*c^2*d^3 + 2*a*b^2*c*d^4) + b^3*d^5*x^3 + a*b^2*c^2*d^3) - (log(a + b*x)*(2*a^5*d - 5*a^4*b*c))/(b^7*c^4 + a^4*b^3*d^4 - 4*a^3*b^4*c*d^3 + 6*a^2*b^5*c^2*d^2 - 4*a*b^6*c^3*d)","B"
293,1,468,164,0.790039,"\text{Not used}","int(x^4/((a + b*x)^2*(c + d*x)^3),x)","\frac{\frac{x^2\,\left(a^4\,d^4+4\,a\,b^3\,c^3\,d-2\,b^4\,c^4\right)}{b^2\,d^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{a\,c^2\,\left(2\,a^3\,d^3+7\,a\,b^2\,c^2\,d-3\,b^3\,c^3\right)}{2\,b^2\,d^3\,\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{c\,x\,\left(4\,a^4\,d^4+8\,a^2\,b^2\,c^2\,d^2+3\,a\,b^3\,c^3\,d-3\,b^4\,c^4\right)}{2\,b^2\,d^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{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{a^4\,d\,\ln\left(a+b\,x\right)}{a^4\,b^2\,d^4-4\,a^3\,b^3\,c\,d^3+6\,a^2\,b^4\,c^2\,d^2-4\,a\,b^5\,c^3\,d+b^6\,c^4}+\frac{c^2\,\ln\left(c+d\,x\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{d^3\,{\left(a\,d-b\,c\right)}^4}-\frac{4\,a^3\,b\,c\,\ln\left(a+b\,x\right)}{a^4\,b^2\,d^4-4\,a^3\,b^3\,c\,d^3+6\,a^2\,b^4\,c^2\,d^2-4\,a\,b^5\,c^3\,d+b^6\,c^4}","Not used",1,"((x^2*(a^4*d^4 - 2*b^4*c^4 + 4*a*b^3*c^3*d))/(b^2*d^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (a*c^2*(2*a^3*d^3 - 3*b^3*c^3 + 7*a*b^2*c^2*d))/(2*b^2*d^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (c*x*(4*a^4*d^4 - 3*b^4*c^4 + 8*a^2*b^2*c^2*d^2 + 3*a*b^3*c^3*d))/(2*b^2*d^3*(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) + (a^4*d*log(a + b*x))/(b^6*c^4 + a^4*b^2*d^4 - 4*a^3*b^3*c*d^3 + 6*a^2*b^4*c^2*d^2 - 4*a*b^5*c^3*d) + (c^2*log(c + d*x)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(d^3*(a*d - b*c)^4) - (4*a^3*b*c*log(a + b*x))/(b^6*c^4 + a^4*b^2*d^4 - 4*a^3*b^3*c*d^3 + 6*a^2*b^4*c^2*d^2 - 4*a*b^5*c^3*d)","B"
294,1,396,129,0.551557,"\text{Not used}","int(x^3/((a + b*x)^2*(c + d*x)^3),x)","\frac{6\,a^2\,c\,\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{x^2\,\left(a^3\,d^3+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{b\,d\,\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{c\,x\,\left(4\,a^3\,d^3+6\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{2\,b\,d^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{a\,c^2\,\left(2\,a^2\,d^2+5\,a\,b\,c\,d-b^2\,c^2\right)}{2\,b\,d^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)}}{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}","Not used",1,"(6*a^2*c*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 - ((x^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d))/(b*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (c*x*(4*a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d + 6*a^2*b*c*d^2))/(2*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)) + (a*c^2*(2*a^2*d^2 - b^2*c^2 + 5*a*b*c*d))/(2*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)))/(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)","B"
295,1,386,124,0.563287,"\text{Not used}","int(x^2/((a + b*x)^2*(c + d*x)^3),x)","\frac{\frac{a\,d\,x^2\,\left(a\,d+2\,b\,c\right)}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}+\frac{a\,c^2\,\left(5\,a\,d+b\,c\right)}{2\,d\,\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{c\,x\,\left(8\,a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{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{2\,a\,\mathrm{atanh}\left(\frac{a\,\left(a\,d+2\,b\,c\right)\,\left(a^4\,d^4-2\,a^3\,b\,c\,d^3+2\,a\,b^3\,c^3\,d-b^4\,c^4\right)}{\left(d\,a^2+2\,b\,c\,a\right)\,{\left(a\,d-b\,c\right)}^4}+\frac{2\,a\,b\,d\,x\,\left(a\,d+2\,b\,c\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)}{\left(d\,a^2+2\,b\,c\,a\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(a\,d+2\,b\,c\right)}{{\left(a\,d-b\,c\right)}^4}","Not used",1,"((a*d*x^2*(a*d + 2*b*c))/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2) + (a*c^2*(5*a*d + b*c))/(2*d*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (c*x*(8*a^2*d^2 + b^2*c^2 + 3*a*b*c*d))/(2*d*(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) - (2*a*atanh((a*(a*d + 2*b*c)*(a^4*d^4 - b^4*c^4 + 2*a*b^3*c^3*d - 2*a^3*b*c*d^3))/((a^2*d + 2*a*b*c)*(a*d - b*c)^4) + (2*a*b*d*x*(a*d + 2*b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/((a^2*d + 2*a*b*c)*(a*d - b*c)^4))*(a*d + 2*b*c))/(a*d - b*c)^4","B"
296,1,377,121,0.572480,"\text{Not used}","int(x/((a + b*x)^2*(c + d*x)^3),x)","\frac{2\,b\,\mathrm{atanh}\left(\frac{b\,\left(2\,a\,d+b\,c\right)\,\left(a^4\,d^4-2\,a^3\,b\,c\,d^3+2\,a\,b^3\,c^3\,d-b^4\,c^4\right)}{\left(c\,b^2+2\,a\,d\,b\right)\,{\left(a\,d-b\,c\right)}^4}+\frac{2\,b^2\,d\,x\,\left(2\,a\,d+b\,c\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)}{\left(c\,b^2+2\,a\,d\,b\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(2\,a\,d+b\,c\right)}{{\left(a\,d-b\,c\right)}^4}-\frac{\frac{d\,a^2\,c+5\,b\,a\,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{x\,\left(2\,a\,d+b\,c\right)\,\left(a\,d+3\,b\,c\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{b\,d\,x^2\,\left(2\,a\,d+b\,c\right)}{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}","Not used",1,"(2*b*atanh((b*(2*a*d + b*c)*(a^4*d^4 - b^4*c^4 + 2*a*b^3*c^3*d - 2*a^3*b*c*d^3))/((b^2*c + 2*a*b*d)*(a*d - b*c)^4) + (2*b^2*d*x*(2*a*d + b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/((b^2*c + 2*a*b*d)*(a*d - b*c)^4))*(2*a*d + b*c))/(a*d - b*c)^4 - ((5*a*b*c^2 + a^2*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)) + (x*(2*a*d + b*c)*(a*d + 3*b*c))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (b*d*x^2*(2*a*d + b*c))/(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)","B"
297,1,329,110,0.216312,"\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"
298,1,459,172,1.148950,"\text{Not used}","int(1/(x*(a + b*x)^2*(c + d*x)^3),x)","\frac{\ln\left(x\right)}{a^2\,c^3}-\frac{\ln\left(c+d\,x\right)\,\left(a^2\,d^4-4\,a\,b\,c\,d^3+6\,b^2\,c^2\,d^2\right)}{a^4\,c^3\,d^4-4\,a^3\,b\,c^4\,d^3+6\,a^2\,b^2\,c^5\,d^2-4\,a\,b^3\,c^6\,d+b^4\,c^7}-\frac{\frac{-3\,a^3\,d^3+7\,a^2\,b\,c\,d^2+2\,b^3\,c^3}{2\,a\,c\,\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{x\,\left(-2\,a^3\,d^4+3\,a^2\,b\,c\,d^3+7\,a\,b^2\,c^2\,d^2+4\,b^3\,c^3\,d\right)}{2\,a\,c^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{b\,d^2\,x^2\,\left(-a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)}{a\,c^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)}}{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{\ln\left(a+b\,x\right)\,\left(b^4\,c-4\,a\,b^3\,d\right)}{a^6\,d^4-4\,a^5\,b\,c\,d^3+6\,a^4\,b^2\,c^2\,d^2-4\,a^3\,b^3\,c^3\,d+a^2\,b^4\,c^4}","Not used",1,"log(x)/(a^2*c^3) - (log(c + d*x)*(a^2*d^4 + 6*b^2*c^2*d^2 - 4*a*b*c*d^3))/(b^4*c^7 + a^4*c^3*d^4 - 4*a^3*b*c^4*d^3 + 6*a^2*b^2*c^5*d^2 - 4*a*b^3*c^6*d) - ((2*b^3*c^3 - 3*a^3*d^3 + 7*a^2*b*c*d^2)/(2*a*c*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (x*(4*b^3*c^3*d - 2*a^3*d^4 + 7*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3))/(2*a*c^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (b*d^2*x^2*(b^2*c^2 - a^2*d^2 + 3*a*b*c*d))/(a*c^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) - (log(a + b*x)*(b^4*c - 4*a*b^3*d))/(a^6*d^4 + a^2*b^4*c^4 - 4*a^3*b^3*c^3*d + 6*a^4*b^2*c^2*d^2 - 4*a^5*b*c*d^3)","B"
299,1,535,195,1.273180,"\text{Not used}","int(1/(x^2*(a + b*x)^2*(c + d*x)^3),x)","\frac{\ln\left(c+d\,x\right)\,\left(3\,a^2\,d^5-10\,a\,b\,c\,d^4+10\,b^2\,c^2\,d^3\right)}{a^4\,c^4\,d^4-4\,a^3\,b\,c^5\,d^3+6\,a^2\,b^2\,c^6\,d^2-4\,a\,b^3\,c^7\,d+b^4\,c^8}-\frac{\frac{1}{a\,c}+\frac{x\,\left(9\,a^4\,d^4-19\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2+2\,a\,b^3\,c^3\,d-4\,b^4\,c^4\right)}{2\,a^2\,c^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{x^2\,\left(-6\,a^4\,d^5+5\,a^3\,b\,c\,d^4+15\,a^2\,b^2\,c^2\,d^3-10\,a\,b^3\,c^3\,d^2+8\,b^4\,c^4\,d\right)}{2\,a^2\,c^3\,\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{b\,d^2\,x^3\,\left(3\,a^3\,d^3-7\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}{a^2\,c^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{x^2\,\left(b\,c^2+2\,a\,d\,c\right)+x^3\,\left(a\,d^2+2\,b\,c\,d\right)+b\,d^2\,x^4+a\,c^2\,x}+\frac{\ln\left(a+b\,x\right)\,\left(2\,b^5\,c-5\,a\,b^4\,d\right)}{a^7\,d^4-4\,a^6\,b\,c\,d^3+6\,a^5\,b^2\,c^2\,d^2-4\,a^4\,b^3\,c^3\,d+a^3\,b^4\,c^4}-\frac{\ln\left(x\right)\,\left(3\,a\,d+2\,b\,c\right)}{a^3\,c^4}","Not used",1,"(log(c + d*x)*(3*a^2*d^5 + 10*b^2*c^2*d^3 - 10*a*b*c*d^4))/(b^4*c^8 + a^4*c^4*d^4 - 4*a^3*b*c^5*d^3 + 6*a^2*b^2*c^6*d^2 - 4*a*b^3*c^7*d) - (1/(a*c) + (x*(9*a^4*d^4 - 4*b^4*c^4 + 6*a^2*b^2*c^2*d^2 + 2*a*b^3*c^3*d - 19*a^3*b*c*d^3))/(2*a^2*c^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (x^2*(8*b^4*c^4*d - 6*a^4*d^5 - 10*a*b^3*c^3*d^2 + 15*a^2*b^2*c^2*d^3 + 5*a^3*b*c*d^4))/(2*a^2*c^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (b*d^2*x^3*(3*a^3*d^3 - 2*b^3*c^3 + 3*a*b^2*c^2*d - 7*a^2*b*c*d^2))/(a^2*c^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/(x^2*(b*c^2 + 2*a*c*d) + x^3*(a*d^2 + 2*b*c*d) + b*d^2*x^4 + a*c^2*x) + (log(a + b*x)*(2*b^5*c - 5*a*b^4*d))/(a^7*d^4 + a^3*b^4*c^4 - 4*a^4*b^3*c^3*d + 6*a^5*b^2*c^2*d^2 - 4*a^6*b*c*d^3) - (log(x)*(3*a*d + 2*b*c))/(a^3*c^4)","B"
300,1,602,228,1.313096,"\text{Not used}","int(1/(x^3*(a + b*x)^2*(c + d*x)^3),x)","\frac{\frac{x\,\left(4\,a\,d+3\,b\,c\right)}{2\,a^2\,c^2}-\frac{1}{2\,a\,c}+\frac{x^2\,\left(18\,a^5\,d^5-32\,a^4\,b\,c\,d^4+a^3\,b^2\,c^2\,d^3+13\,a^2\,b^3\,c^3\,d^2-6\,b^5\,c^5\right)}{2\,a^3\,c^3\,\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\,x^3\,\left(4\,a^5\,d^6-2\,a^4\,b\,c\,d^5-10\,a^3\,b^2\,c^2\,d^4+5\,a^2\,b^3\,c^3\,d^3+3\,a\,b^4\,c^4\,d^2-4\,b^5\,c^5\,d\right)}{2\,a^3\,c^4\,\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\,d^2\,x^4\,\left(2\,a^4\,d^4-4\,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)}{a^3\,c^4\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{x^3\,\left(b\,c^2+2\,a\,d\,c\right)+x^4\,\left(a\,d^2+2\,b\,c\,d\right)+a\,c^2\,x^2+b\,d^2\,x^5}-\frac{\ln\left(c+d\,x\right)\,\left(6\,a^2\,d^6-18\,a\,b\,c\,d^5+15\,b^2\,c^2\,d^4\right)}{a^4\,c^5\,d^4-4\,a^3\,b\,c^6\,d^3+6\,a^2\,b^2\,c^7\,d^2-4\,a\,b^3\,c^8\,d+b^4\,c^9}-\frac{\ln\left(a+b\,x\right)\,\left(3\,b^6\,c-6\,a\,b^5\,d\right)}{a^8\,d^4-4\,a^7\,b\,c\,d^3+6\,a^6\,b^2\,c^2\,d^2-4\,a^5\,b^3\,c^3\,d+a^4\,b^4\,c^4}+\frac{\ln\left(x\right)\,\left(6\,a^2\,d^2+6\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a^4\,c^5}","Not used",1,"((x*(4*a*d + 3*b*c))/(2*a^2*c^2) - 1/(2*a*c) + (x^2*(18*a^5*d^5 - 6*b^5*c^5 + 13*a^2*b^3*c^3*d^2 + a^3*b^2*c^2*d^3 - 32*a^4*b*c*d^4))/(2*a^3*c^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (3*x^3*(4*a^5*d^6 - 4*b^5*c^5*d + 3*a*b^4*c^4*d^2 + 5*a^2*b^3*c^3*d^3 - 10*a^3*b^2*c^2*d^4 - 2*a^4*b*c*d^5))/(2*a^3*c^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (3*b*d^2*x^4*(2*a^4*d^4 - b^4*c^4 + a^2*b^2*c^2*d^2 + a*b^3*c^3*d - 4*a^3*b*c*d^3))/(a^3*c^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/(x^3*(b*c^2 + 2*a*c*d) + x^4*(a*d^2 + 2*b*c*d) + a*c^2*x^2 + b*d^2*x^5) - (log(c + d*x)*(6*a^2*d^6 + 15*b^2*c^2*d^4 - 18*a*b*c*d^5))/(b^4*c^9 + a^4*c^5*d^4 - 4*a^3*b*c^6*d^3 + 6*a^2*b^2*c^7*d^2 - 4*a*b^3*c^8*d) - (log(a + b*x)*(3*b^6*c - 6*a*b^5*d))/(a^8*d^4 + a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3) + (log(x)*(6*a^2*d^2 + 3*b^2*c^2 + 6*a*b*c*d))/(a^4*c^5)","B"
301,1,352,196,0.118237,"\text{Not used}","int((x^3*(c + d*x)^3)/(a + b*x)^3,x)","\frac{x\,\left(6\,a^5\,d^3-15\,a^4\,b\,c\,d^2+12\,a^3\,b^2\,c^2\,d-3\,a^2\,b^3\,c^3\right)+\frac{11\,a^6\,d^3-27\,a^5\,b\,c\,d^2+21\,a^4\,b^2\,c^2\,d-5\,a^3\,b^3\,c^3}{2\,b}}{a^2\,b^6+2\,a\,b^7\,x+b^8\,x^2}-x^3\,\left(\frac{a\,d^3}{b^4}-\frac{c\,d^2}{b^3}\right)+x\,\left(\frac{c^3}{b^3}-\frac{3\,a\,\left(\frac{3\,c^2\,d}{b^3}+\frac{3\,a\,\left(\frac{3\,a\,d^3}{b^4}-\frac{3\,c\,d^2}{b^3}\right)}{b}-\frac{3\,a^2\,d^3}{b^5}\right)}{b}-\frac{a^3\,d^3}{b^6}+\frac{3\,a^2\,\left(\frac{3\,a\,d^3}{b^4}-\frac{3\,c\,d^2}{b^3}\right)}{b^2}\right)+x^2\,\left(\frac{3\,c^2\,d}{2\,b^3}+\frac{3\,a\,\left(\frac{3\,a\,d^3}{b^4}-\frac{3\,c\,d^2}{b^3}\right)}{2\,b}-\frac{3\,a^2\,d^3}{2\,b^5}\right)+\frac{d^3\,x^4}{4\,b^3}+\frac{\ln\left(a+b\,x\right)\,\left(15\,a^4\,d^3-30\,a^3\,b\,c\,d^2+18\,a^2\,b^2\,c^2\,d-3\,a\,b^3\,c^3\right)}{b^7}","Not used",1,"(x*(6*a^5*d^3 - 3*a^2*b^3*c^3 + 12*a^3*b^2*c^2*d - 15*a^4*b*c*d^2) + (11*a^6*d^3 - 5*a^3*b^3*c^3 + 21*a^4*b^2*c^2*d - 27*a^5*b*c*d^2)/(2*b))/(a^2*b^6 + b^8*x^2 + 2*a*b^7*x) - x^3*((a*d^3)/b^4 - (c*d^2)/b^3) + x*(c^3/b^3 - (3*a*((3*c^2*d)/b^3 + (3*a*((3*a*d^3)/b^4 - (3*c*d^2)/b^3))/b - (3*a^2*d^3)/b^5))/b - (a^3*d^3)/b^6 + (3*a^2*((3*a*d^3)/b^4 - (3*c*d^2)/b^3))/b^2) + x^2*((3*c^2*d)/(2*b^3) + (3*a*((3*a*d^3)/b^4 - (3*c*d^2)/b^3))/(2*b) - (3*a^2*d^3)/(2*b^5)) + (d^3*x^4)/(4*b^3) + (log(a + b*x)*(15*a^4*d^3 - 3*a*b^3*c^3 + 18*a^2*b^2*c^2*d - 30*a^3*b*c*d^2))/b^7","B"
302,1,248,156,0.388120,"\text{Not used}","int((x^2*(c + d*x)^3)/(a + b*x)^3,x)","x\,\left(\frac{3\,c^2\,d}{b^3}+\frac{3\,a\,\left(\frac{3\,a\,d^3}{b^4}-\frac{3\,c\,d^2}{b^3}\right)}{b}-\frac{3\,a^2\,d^3}{b^5}\right)-x^2\,\left(\frac{3\,a\,d^3}{2\,b^4}-\frac{3\,c\,d^2}{2\,b^3}\right)-\frac{x\,\left(5\,a^4\,d^3-12\,a^3\,b\,c\,d^2+9\,a^2\,b^2\,c^2\,d-2\,a\,b^3\,c^3\right)+\frac{3\,\left(3\,a^5\,d^3-7\,a^4\,b\,c\,d^2+5\,a^3\,b^2\,c^2\,d-a^2\,b^3\,c^3\right)}{2\,b}}{a^2\,b^5+2\,a\,b^6\,x+b^7\,x^2}+\frac{d^3\,x^3}{3\,b^3}-\frac{\ln\left(a+b\,x\right)\,\left(10\,a^3\,d^3-18\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{b^6}","Not used",1,"x*((3*c^2*d)/b^3 + (3*a*((3*a*d^3)/b^4 - (3*c*d^2)/b^3))/b - (3*a^2*d^3)/b^5) - x^2*((3*a*d^3)/(2*b^4) - (3*c*d^2)/(2*b^3)) - (x*(5*a^4*d^3 - 2*a*b^3*c^3 + 9*a^2*b^2*c^2*d - 12*a^3*b*c*d^2) + (3*(3*a^5*d^3 - a^2*b^3*c^3 + 5*a^3*b^2*c^2*d - 7*a^4*b*c*d^2))/(2*b))/(a^2*b^5 + b^7*x^2 + 2*a*b^6*x) + (d^3*x^3)/(3*b^3) - (log(a + b*x)*(10*a^3*d^3 - b^3*c^3 + 9*a*b^2*c^2*d - 18*a^2*b*c*d^2))/b^6","B"
303,1,180,114,0.387358,"\text{Not used}","int((x*(c + d*x)^3)/(a + b*x)^3,x)","\frac{x\,\left(4\,a^3\,d^3-9\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3\right)+\frac{7\,a^4\,d^3-15\,a^3\,b\,c\,d^2+9\,a^2\,b^2\,c^2\,d-a\,b^3\,c^3}{2\,b}}{a^2\,b^4+2\,a\,b^5\,x+b^6\,x^2}-x\,\left(\frac{3\,a\,d^3}{b^4}-\frac{3\,c\,d^2}{b^3}\right)+\frac{\ln\left(a+b\,x\right)\,\left(6\,a^2\,d^3-9\,a\,b\,c\,d^2+3\,b^2\,c^2\,d\right)}{b^5}+\frac{d^3\,x^2}{2\,b^3}","Not used",1,"(x*(4*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 9*a^2*b*c*d^2) + (7*a^4*d^3 - a*b^3*c^3 + 9*a^2*b^2*c^2*d - 15*a^3*b*c*d^2)/(2*b))/(a^2*b^4 + b^6*x^2 + 2*a*b^5*x) - x*((3*a*d^3)/b^4 - (3*c*d^2)/b^3) + (log(a + b*x)*(6*a^2*d^3 + 3*b^2*c^2*d - 9*a*b*c*d^2))/b^5 + (d^3*x^2)/(2*b^3)","B"
304,1,130,78,0.126012,"\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"
305,1,131,93,0.239766,"\text{Not used}","int((c + d*x)^3/(x*(a + b*x)^3),x)","\frac{\frac{3\,\left(a^3\,d^3-a^2\,b\,c\,d^2-a\,b^2\,c^2\,d+b^3\,c^3\right)}{2\,a\,b^3}+\frac{x\,\left(2\,a^3\,d^3-3\,a^2\,b\,c\,d^2+b^3\,c^3\right)}{a^2\,b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}-\ln\left(a+b\,x\right)\,\left(\frac{c^3}{a^3}-\frac{d^3}{b^3}\right)+\frac{c^3\,\ln\left(x\right)}{a^3}","Not used",1,"((3*(a^3*d^3 + b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2))/(2*a*b^3) + (x*(2*a^3*d^3 + b^3*c^3 - 3*a^2*b*c*d^2))/(a^2*b^2))/(a^2 + b^2*x^2 + 2*a*b*x) - log(a + b*x)*(c^3/a^3 - d^3/b^3) + (c^3*log(x))/a^3","B"
306,1,169,112,0.124945,"\text{Not used}","int((c + d*x)^3/(x^2*(a + b*x)^3),x)","\frac{6\,c^2\,\mathrm{atanh}\left(\frac{3\,c^2\,\left(a\,d-b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(3\,b\,c^3-3\,a\,c^2\,d\right)}\right)\,\left(a\,d-b\,c\right)}{a^4}-\frac{\frac{c^3}{a}+\frac{x^2\,\left(a^3\,d^3-3\,a\,b^2\,c^2\,d+3\,b^3\,c^3\right)}{a^3\,b}+\frac{x\,\left(a^3\,d^3+3\,a^2\,b\,c\,d^2-9\,a\,b^2\,c^2\,d+9\,b^3\,c^3\right)}{2\,a^2\,b^2}}{a^2\,x+2\,a\,b\,x^2+b^2\,x^3}","Not used",1,"(6*c^2*atanh((3*c^2*(a*d - b*c)*(a + 2*b*x))/(a*(3*b*c^3 - 3*a*c^2*d)))*(a*d - b*c))/a^4 - (c^3/a + (x^2*(a^3*d^3 + 3*b^3*c^3 - 3*a*b^2*c^2*d))/(a^3*b) + (x*(a^3*d^3 + 9*b^3*c^3 - 9*a*b^2*c^2*d + 3*a^2*b*c*d^2))/(2*a^2*b^2))/(a^2*x + b^2*x^3 + 2*a*b*x^2)","B"
307,1,211,137,0.454464,"\text{Not used}","int((c + d*x)^3/(x^3*(a + b*x)^3),x)","-\frac{\frac{c^3}{2\,a}+\frac{c^2\,x\,\left(3\,a\,d-2\,b\,c\right)}{a^2}+\frac{x^2\,\left(a^3\,d^3-9\,a^2\,b\,c\,d^2+27\,a\,b^2\,c^2\,d-18\,b^3\,c^3\right)}{2\,a^3\,b}-\frac{3\,b\,c\,x^3\,\left(a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2\right)}{a^4}}{a^2\,x^2+2\,a\,b\,x^3+b^2\,x^4}-\frac{6\,c\,\mathrm{atanh}\left(\frac{3\,c\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)\,\left(a+2\,b\,x\right)}{a\,\left(3\,a^2\,c\,d^2-9\,a\,b\,c^2\,d+6\,b^2\,c^3\right)}\right)\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{a^5}","Not used",1,"- (c^3/(2*a) + (c^2*x*(3*a*d - 2*b*c))/a^2 + (x^2*(a^3*d^3 - 18*b^3*c^3 + 27*a*b^2*c^2*d - 9*a^2*b*c*d^2))/(2*a^3*b) - (3*b*c*x^3*(a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d))/a^4)/(a^2*x^2 + b^2*x^4 + 2*a*b*x^3) - (6*c*atanh((3*c*(a*d - b*c)*(a*d - 2*b*c)*(a + 2*b*x))/(a*(6*b^2*c^3 + 3*a^2*c*d^2 - 9*a*b*c^2*d)))*(a*d - b*c)*(a*d - 2*b*c))/a^5","B"
308,1,289,193,0.525739,"\text{Not used}","int((c + d*x)^3/(x^4*(a + b*x)^3),x)","-\frac{\frac{c^3}{3\,a}-\frac{3\,x^3\,\left(a^3\,d^3-9\,a^2\,b\,c\,d^2+18\,a\,b^2\,c^2\,d-10\,b^3\,c^3\right)}{2\,a^4}+\frac{c^2\,x\,\left(9\,a\,d-5\,b\,c\right)}{6\,a^2}+\frac{c\,x^2\,\left(9\,a^2\,d^2-18\,a\,b\,c\,d+10\,b^2\,c^2\right)}{3\,a^3}-\frac{b\,x^4\,\left(a^3\,d^3-9\,a^2\,b\,c\,d^2+18\,a\,b^2\,c^2\,d-10\,b^3\,c^3\right)}{a^5}}{a^2\,x^3+2\,a\,b\,x^4+b^2\,x^5}-\frac{2\,\mathrm{atanh}\left(\frac{\left(a\,d-b\,c\right)\,\left(a+2\,b\,x\right)\,\left(a^2\,d^2-8\,a\,b\,c\,d+10\,b^2\,c^2\right)}{a\,\left(a^3\,d^3-9\,a^2\,b\,c\,d^2+18\,a\,b^2\,c^2\,d-10\,b^3\,c^3\right)}\right)\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-8\,a\,b\,c\,d+10\,b^2\,c^2\right)}{a^6}","Not used",1,"- (c^3/(3*a) - (3*x^3*(a^3*d^3 - 10*b^3*c^3 + 18*a*b^2*c^2*d - 9*a^2*b*c*d^2))/(2*a^4) + (c^2*x*(9*a*d - 5*b*c))/(6*a^2) + (c*x^2*(9*a^2*d^2 + 10*b^2*c^2 - 18*a*b*c*d))/(3*a^3) - (b*x^4*(a^3*d^3 - 10*b^3*c^3 + 18*a*b^2*c^2*d - 9*a^2*b*c*d^2))/a^5)/(a^2*x^3 + b^2*x^5 + 2*a*b*x^4) - (2*atanh(((a*d - b*c)*(a + 2*b*x)*(a^2*d^2 + 10*b^2*c^2 - 8*a*b*c*d))/(a*(a^3*d^3 - 10*b^3*c^3 + 18*a*b^2*c^2*d - 9*a^2*b*c*d^2)))*(a*d - b*c)*(a^2*d^2 + 10*b^2*c^2 - 8*a*b*c*d))/a^6","B"
309,1,880,245,1.012350,"\text{Not used}","int(x^7/((a + b*x)^3*(c + d*x)^3),x)","\frac{\frac{x^3\,\left(a\,d+b\,c\right)\,\left(4\,a^6\,d^6-11\,a^5\,b\,c\,d^5+11\,a^4\,b^2\,c^2\,d^4-11\,a^3\,b^3\,c^3\,d^3+11\,a^2\,b^4\,c^4\,d^2-11\,a\,b^5\,c^5\,d+4\,b^6\,c^6\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{7\,a^8\,c^2\,d^6-13\,a^7\,b\,c^3\,d^5-13\,a^3\,b^5\,c^7\,d+7\,a^2\,b^6\,c^8}{2\,b\,d\,\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{x^2\,\left(7\,a^8\,d^8+3\,a^7\,b\,c\,d^7-28\,a^6\,b^2\,c^2\,d^6-28\,a^2\,b^6\,c^6\,d^2+3\,a\,b^7\,c^7\,d+7\,b^8\,c^8\right)}{2\,b\,d\,\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{x\,\left(a\,d+b\,c\right)\,\left(7\,a^7\,c\,d^6-16\,a^6\,b\,c^2\,d^5+9\,a^5\,b^2\,c^3\,d^4-9\,a^4\,b^3\,c^4\,d^3+9\,a^3\,b^4\,c^5\,d^2-16\,a^2\,b^5\,c^6\,d+7\,a\,b^6\,c^7\right)}{b\,d\,\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)}}{x^3\,\left(2\,c\,b^6\,d^5+2\,a\,b^5\,d^6\right)+x\,\left(2\,a^2\,b^4\,c\,d^5+2\,a\,b^5\,c^2\,d^4\right)+x^2\,\left(a^2\,b^4\,d^6+4\,a\,b^5\,c\,d^5+b^6\,c^2\,d^4\right)+b^6\,d^6\,x^4+a^2\,b^4\,c^2\,d^4}-\frac{\ln\left(a+b\,x\right)\,\left(6\,a^7\,d^2-21\,a^6\,b\,c\,d+21\,a^5\,b^2\,c^2\right)}{-a^5\,b^5\,d^5+5\,a^4\,b^6\,c\,d^4-10\,a^3\,b^7\,c^2\,d^3+10\,a^2\,b^8\,c^3\,d^2-5\,a\,b^9\,c^4\,d+b^{10}\,c^5}+\frac{x^2}{2\,b^3\,d^3}-\frac{\ln\left(c+d\,x\right)\,\left(21\,a^2\,c^5\,d^2-21\,a\,b\,c^6\,d+6\,b^2\,c^7\right)}{a^5\,d^{10}-5\,a^4\,b\,c\,d^9+10\,a^3\,b^2\,c^2\,d^8-10\,a^2\,b^3\,c^3\,d^7+5\,a\,b^4\,c^4\,d^6-b^5\,c^5\,d^5}-\frac{3\,x\,\left(a\,d+b\,c\right)}{b^4\,d^4}","Not used",1,"((x^3*(a*d + b*c)*(4*a^6*d^6 + 4*b^6*c^6 + 11*a^2*b^4*c^4*d^2 - 11*a^3*b^3*c^3*d^3 + 11*a^4*b^2*c^2*d^4 - 11*a*b^5*c^5*d - 11*a^5*b*c*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) + (7*a^2*b^6*c^8 + 7*a^8*c^2*d^6 - 13*a^3*b^5*c^7*d - 13*a^7*b*c^3*d^5)/(2*b*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*(7*a^8*d^8 + 7*b^8*c^8 - 28*a^2*b^6*c^6*d^2 - 28*a^6*b^2*c^2*d^6 + 3*a*b^7*c^7*d + 3*a^7*b*c*d^7))/(2*b*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*(a*d + b*c)*(7*a*b^6*c^7 + 7*a^7*c*d^6 - 16*a^2*b^5*c^6*d - 16*a^6*b*c^2*d^5 + 9*a^3*b^4*c^5*d^2 - 9*a^4*b^3*c^4*d^3 + 9*a^5*b^2*c^3*d^4))/(b*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^3*(2*a*b^5*d^6 + 2*b^6*c*d^5) + x*(2*a*b^5*c^2*d^4 + 2*a^2*b^4*c*d^5) + x^2*(a^2*b^4*d^6 + b^6*c^2*d^4 + 4*a*b^5*c*d^5) + b^6*d^6*x^4 + a^2*b^4*c^2*d^4) - (log(a + b*x)*(6*a^7*d^2 + 21*a^5*b^2*c^2 - 21*a^6*b*c*d))/(b^10*c^5 - a^5*b^5*d^5 + 5*a^4*b^6*c*d^4 + 10*a^2*b^8*c^3*d^2 - 10*a^3*b^7*c^2*d^3 - 5*a*b^9*c^4*d) + x^2/(2*b^3*d^3) - (log(c + d*x)*(6*b^2*c^7 + 21*a^2*c^5*d^2 - 21*a*b*c^6*d))/(a^5*d^10 - b^5*c^5*d^5 + 5*a*b^4*c^4*d^6 - 10*a^2*b^3*c^3*d^7 + 10*a^3*b^2*c^2*d^8 - 5*a^4*b*c*d^9) - (3*x*(a*d + b*c))/(b^4*d^4)","B"
310,1,780,222,0.878084,"\text{Not used}","int(x^6/((a + b*x)^3*(c + d*x)^3),x)","\frac{x}{b^3\,d^3}-\frac{\frac{3\,x^3\,\left(a^6\,d^6-2\,a^5\,b\,c\,d^5-2\,a\,b^5\,c^5\,d+b^6\,c^6\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{x^2\,\left(5\,a^7\,d^7+a^6\,b\,c\,d^6-24\,a^5\,b^2\,c^2\,d^5-24\,a^2\,b^5\,c^5\,d^2+a\,b^6\,c^6\,d+5\,b^7\,c^7\right)}{2\,b\,d\,\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{a^2\,c^2\,\left(5\,a^5\,d^5-11\,a^4\,b\,c\,d^4-11\,a\,b^4\,c^4\,d+5\,b^5\,c^5\right)}{2\,b\,d\,\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{a\,c\,x\,\left(-5\,a^6\,d^6+8\,a^5\,b\,c\,d^5+6\,a^4\,b^2\,c^2\,d^4+6\,a^2\,b^4\,c^4\,d^2+8\,a\,b^5\,c^5\,d-5\,b^6\,c^6\right)}{b\,d\,\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)}}{x^3\,\left(2\,c\,b^5\,d^4+2\,a\,b^4\,d^5\right)+x\,\left(2\,a^2\,b^3\,c\,d^4+2\,a\,b^4\,c^2\,d^3\right)+x^2\,\left(a^2\,b^3\,d^5+4\,a\,b^4\,c\,d^4+b^5\,c^2\,d^3\right)+b^5\,d^5\,x^4+a^2\,b^3\,c^2\,d^3}+\frac{\ln\left(a+b\,x\right)\,\left(3\,a^6\,d^2-12\,a^5\,b\,c\,d+15\,a^4\,b^2\,c^2\right)}{-a^5\,b^4\,d^5+5\,a^4\,b^5\,c\,d^4-10\,a^3\,b^6\,c^2\,d^3+10\,a^2\,b^7\,c^3\,d^2-5\,a\,b^8\,c^4\,d+b^9\,c^5}+\frac{\ln\left(c+d\,x\right)\,\left(15\,a^2\,c^4\,d^2-12\,a\,b\,c^5\,d+3\,b^2\,c^6\right)}{a^5\,d^9-5\,a^4\,b\,c\,d^8+10\,a^3\,b^2\,c^2\,d^7-10\,a^2\,b^3\,c^3\,d^6+5\,a\,b^4\,c^4\,d^5-b^5\,c^5\,d^4}","Not used",1,"x/(b^3*d^3) - ((3*x^3*(a^6*d^6 + b^6*c^6 - 2*a*b^5*c^5*d - 2*a^5*b*c*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) + (x^2*(5*a^7*d^7 + 5*b^7*c^7 - 24*a^2*b^5*c^5*d^2 - 24*a^5*b^2*c^2*d^5 + a*b^6*c^6*d + a^6*b*c*d^6))/(2*b*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)) + (a^2*c^2*(5*a^5*d^5 + 5*b^5*c^5 - 11*a*b^4*c^4*d - 11*a^4*b*c*d^4))/(2*b*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)) - (a*c*x*(6*a^2*b^4*c^4*d^2 - 5*b^6*c^6 - 5*a^6*d^6 + 6*a^4*b^2*c^2*d^4 + 8*a*b^5*c^5*d + 8*a^5*b*c*d^5))/(b*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^3*(2*a*b^4*d^5 + 2*b^5*c*d^4) + x*(2*a*b^4*c^2*d^3 + 2*a^2*b^3*c*d^4) + x^2*(a^2*b^3*d^5 + b^5*c^2*d^3 + 4*a*b^4*c*d^4) + b^5*d^5*x^4 + a^2*b^3*c^2*d^3) + (log(a + b*x)*(3*a^6*d^2 + 15*a^4*b^2*c^2 - 12*a^5*b*c*d))/(b^9*c^5 - a^5*b^4*d^5 + 5*a^4*b^5*c*d^4 + 10*a^2*b^7*c^3*d^2 - 10*a^3*b^6*c^2*d^3 - 5*a*b^8*c^4*d) + (log(c + d*x)*(3*b^2*c^6 + 15*a^2*c^4*d^2 - 12*a*b*c^5*d))/(a^5*d^9 - b^5*c^5*d^4 + 5*a*b^4*c^4*d^5 - 10*a^2*b^3*c^3*d^6 + 10*a^3*b^2*c^2*d^7 - 5*a^4*b*c*d^8)","B"
311,1,759,213,1.374367,"\text{Not used}","int(x^5/((a + b*x)^3*(c + d*x)^3),x)","\frac{\frac{3\,a^2\,c^2\,\left(a^4\,d^4-3\,a^3\,b\,c\,d^3-3\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{2\,b^3\,d^3\,\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{x^2\,\left(-3\,a^6\,d^6+a^5\,b\,c\,d^5+20\,a^4\,b^2\,c^2\,d^4+20\,a^2\,b^4\,c^4\,d^2+a\,b^5\,c^5\,d-3\,b^6\,c^6\right)}{2\,b^3\,d^3\,\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{x^3\,\left(a\,d+b\,c\right)\,\left(2\,a^4\,d^4-7\,a^3\,b\,c\,d^3+7\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+2\,b^4\,c^4\right)}{b^2\,d^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{a\,c\,x\,\left(a\,d+b\,c\right)\,\left(3\,a^4\,d^4-10\,a^3\,b\,c\,d^3+5\,a^2\,b^2\,c^2\,d^2-10\,a\,b^3\,c^3\,d+3\,b^4\,c^4\right)}{b^3\,d^3\,\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)}}{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{\ln\left(a+b\,x\right)\,\left(a^5\,d^2-5\,a^4\,b\,c\,d+10\,a^3\,b^2\,c^2\right)}{-a^5\,b^3\,d^5+5\,a^4\,b^4\,c\,d^4-10\,a^3\,b^5\,c^2\,d^3+10\,a^2\,b^6\,c^3\,d^2-5\,a\,b^7\,c^4\,d+b^8\,c^5}-\frac{\ln\left(c+d\,x\right)\,\left(10\,a^2\,c^3\,d^2-5\,a\,b\,c^4\,d+b^2\,c^5\right)}{a^5\,d^8-5\,a^4\,b\,c\,d^7+10\,a^3\,b^2\,c^2\,d^6-10\,a^2\,b^3\,c^3\,d^5+5\,a\,b^4\,c^4\,d^4-b^5\,c^5\,d^3}","Not used",1,"((3*a^2*c^2*(a^4*d^4 + b^4*c^4 - 3*a*b^3*c^3*d - 3*a^3*b*c*d^3))/(2*b^3*d^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)) - (x^2*(20*a^2*b^4*c^4*d^2 - 3*b^6*c^6 - 3*a^6*d^6 + 20*a^4*b^2*c^2*d^4 + a*b^5*c^5*d + a^5*b*c*d^5))/(2*b^3*d^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)) + (x^3*(a*d + b*c)*(2*a^4*d^4 + 2*b^4*c^4 + 7*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 7*a^3*b*c*d^3))/(b^2*d^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*c*x*(a*d + b*c)*(3*a^4*d^4 + 3*b^4*c^4 + 5*a^2*b^2*c^2*d^2 - 10*a*b^3*c^3*d - 10*a^3*b*c*d^3))/(b^3*d^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)))/(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) - (log(a + b*x)*(a^5*d^2 + 10*a^3*b^2*c^2 - 5*a^4*b*c*d))/(b^8*c^5 - a^5*b^3*d^5 + 5*a^4*b^4*c*d^4 + 10*a^2*b^6*c^3*d^2 - 10*a^3*b^5*c^2*d^3 - 5*a*b^7*c^4*d) - (log(c + d*x)*(b^2*c^5 + 10*a^2*c^3*d^2 - 5*a*b*c^4*d))/(a^5*d^8 - b^5*c^5*d^3 + 5*a*b^4*c^4*d^4 - 10*a^2*b^3*c^3*d^5 + 10*a^3*b^2*c^2*d^6 - 5*a^4*b*c*d^7)","B"
312,1,678,169,0.715078,"\text{Not used}","int(x^4/((a + b*x)^3*(c + d*x)^3),x)","\frac{\frac{x^2\,\left(-a^5\,d^5+3\,a^4\,b\,c\,d^4+16\,a^3\,b^2\,c^2\,d^3+16\,a^2\,b^3\,c^3\,d^2+3\,a\,b^4\,c^4\,d-b^5\,c^5\right)}{2\,b^2\,d^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{x^3\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{b\,d\,\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{a^2\,c^2\,\left(a^3\,d^3-7\,a^2\,b\,c\,d^2-7\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{2\,b^2\,d^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{a\,c\,x\,\left(-a^4\,d^4+6\,a^3\,b\,c\,d^3+8\,a^2\,b^2\,c^2\,d^2+6\,a\,b^3\,c^3\,d-b^4\,c^4\right)}{b^2\,d^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)}}{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\,a^2\,c^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,"((x^2*(16*a^2*b^3*c^3*d^2 - b^5*c^5 - a^5*d^5 + 16*a^3*b^2*c^2*d^3 + 3*a*b^4*c^4*d + 3*a^4*b*c*d^4))/(2*b^2*d^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)) - (x^3*(a^4*d^4 + b^4*c^4 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(b*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)) - (a^2*c^2*(a^3*d^3 + b^3*c^3 - 7*a*b^2*c^2*d - 7*a^2*b*c*d^2))/(2*b^2*d^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*c*x*(8*a^2*b^2*c^2*d^2 - b^4*c^4 - a^4*d^4 + 6*a*b^3*c^3*d + 6*a^3*b*c*d^3))/(b^2*d^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)))/(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*a^2*c^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"
313,1,532,155,0.673337,"\text{Not used}","int(x^3/((a + b*x)^3*(c + d*x)^3),x)","\frac{6\,a\,c\,\mathrm{atanh}\left(\frac{\left(a\,d+b\,c+2\,b\,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)}{{\left(a\,d-b\,c\right)}^5}\right)\,\left(a\,d+b\,c\right)}{{\left(a\,d-b\,c\right)}^5}-\frac{\frac{x^2\,\left(a^4\,d^4+5\,a^3\,b\,c\,d^3+24\,a^2\,b^2\,c^2\,d^2+5\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{2\,b\,d\,\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{a^2\,c^2\,\left(a^2\,d^2+10\,a\,b\,c\,d+b^2\,c^2\right)}{2\,b\,d\,\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{3\,a\,b\,c\,d\,x^3\,\left(a\,d+b\,c\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{a\,c\,x\,\left(a\,d+b\,c\right)\,\left(a^2\,d^2+7\,a\,b\,c\,d+b^2\,c^2\right)}{b\,d\,\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)}}{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}","Not used",1,"(6*a*c*atanh(((a*d + b*c + 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))/(a*d - b*c)^5 - ((x^2*(a^4*d^4 + b^4*c^4 + 24*a^2*b^2*c^2*d^2 + 5*a*b^3*c^3*d + 5*a^3*b*c*d^3))/(2*b*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)) + (a^2*c^2*(a^2*d^2 + b^2*c^2 + 10*a*b*c*d))/(2*b*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)) + (3*a*b*c*d*x^3*(a*d + b*c))/(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*c*x*(a*d + b*c)*(a^2*d^2 + b^2*c^2 + 7*a*b*c*d))/(b*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)","B"
314,1,569,180,0.680383,"\text{Not used}","int(x^2/((a + b*x)^3*(c + d*x)^3),x)","\frac{\frac{3\,\left(d\,a^3\,c^2+b\,a^2\,c^3\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{3\,x^2\,\left(a\,d+b\,c\right)\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{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{b\,d\,x^3\,\left(a^2\,d^2+4\,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}+\frac{a\,c\,x\,\left(5\,a^2\,d^2+8\,a\,b\,c\,d+5\,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{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^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^5}","Not used",1,"((3*(a^2*b*c^3 + a^3*c^2*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) + (3*x^2*(a*d + b*c)*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(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)) + (b*d*x^3*(a^2*d^2 + b^2*c^2 + 4*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) + (a*c*x*(5*a^2*d^2 + 5*b^2*c^2 + 8*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) - (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^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(a*d - b*c)^5","B"
315,1,495,157,0.663523,"\text{Not used}","int(x/((a + b*x)^3*(c + d*x)^3),x)","\frac{6\,b\,d\,\mathrm{atanh}\left(\frac{\left(a\,d+b\,c+2\,b\,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)}{{\left(a\,d-b\,c\right)}^5}\right)\,\left(a\,d+b\,c\right)}{{\left(a\,d-b\,c\right)}^5}-\frac{\frac{a^3\,c\,d^2+10\,a^2\,b\,c^2\,d+a\,b^2\,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\,x^2\,\left(a^2\,b\,d^3+2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}{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{x\,\left(a\,d+b\,c\right)\,\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}+\frac{3\,b^2\,d^2\,x^3\,\left(a\,d+b\,c\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}","Not used",1,"(6*b*d*atanh(((a*d + b*c + 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))/(a*d - b*c)^5 - ((a*b^2*c^3 + a^3*c*d^2 + 10*a^2*b*c^2*d)/(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*x^2*(a^2*b*d^3 + b^3*c^2*d + 2*a*b^2*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)) + (x*(a*d + b*c)*(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) + (3*b^2*d^2*x^3*(a*d + b*c))/(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)","B"
316,1,542,143,0.312123,"\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"
317,1,624,221,1.443303,"\text{Not used}","int(1/(x*(a + b*x)^3*(c + d*x)^3),x)","\frac{\frac{3\,\left(a^4\,d^4-3\,a^3\,b\,c\,d^3-3\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{2\,a\,c\,\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{x^2\,\left(-4\,a^4\,b\,d^5+13\,a^3\,b^2\,c\,d^4+18\,a^2\,b^3\,c^2\,d^3+13\,a\,b^4\,c^3\,d^2-4\,b^5\,c^4\,d\right)}{2\,a^2\,c^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{x\,\left(-a^5\,d^5+a^4\,b\,c\,d^4+9\,a^3\,b^2\,c^2\,d^3+9\,a^2\,b^3\,c^3\,d^2+a\,b^4\,c^4\,d-b^5\,c^5\right)}{a^2\,c^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{b\,d\,x^3\,\left(a^3\,b\,d^4-4\,a^2\,b^2\,c\,d^3-4\,a\,b^3\,c^2\,d^2+b^4\,c^3\,d\right)}{a^2\,c^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)}}{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{\ln\left(x\right)}{a^3\,c^3}+\frac{b^3\,\ln\left(a+b\,x\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{a^3\,{\left(a\,d-b\,c\right)}^5}-\frac{d^3\,\ln\left(c+d\,x\right)\,\left(a^2\,d^2-5\,a\,b\,c\,d+10\,b^2\,c^2\right)}{c^3\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"((3*(a^4*d^4 + b^4*c^4 - 3*a*b^3*c^3*d - 3*a^3*b*c*d^3))/(2*a*c*(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*(13*a*b^4*c^3*d^2 - 4*b^5*c^4*d - 4*a^4*b*d^5 + 13*a^3*b^2*c*d^4 + 18*a^2*b^3*c^2*d^3))/(2*a^2*c^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)) - (x*(9*a^2*b^3*c^3*d^2 - b^5*c^5 - a^5*d^5 + 9*a^3*b^2*c^2*d^3 + a*b^4*c^4*d + a^4*b*c*d^4))/(a^2*c^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)) + (b*d*x^3*(a^3*b*d^4 + b^4*c^3*d - 4*a*b^3*c^2*d^2 - 4*a^2*b^2*c*d^3))/(a^2*c^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)))/(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) + log(x)/(a^3*c^3) + (b^3*log(a + b*x)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(a^3*(a*d - b*c)^5) - (d^3*log(c + d*x)*(a^2*d^2 + 10*b^2*c^2 - 5*a*b*c*d))/(c^3*(a*d - b*c)^5)","B"
318,1,823,242,1.644065,"\text{Not used}","int(1/(x^2*(a + b*x)^3*(c + d*x)^3),x)","-\frac{\frac{1}{a\,c}+\frac{3\,x^4\,\left(a^4\,b^2\,d^6-3\,a^3\,b^3\,c\,d^5+2\,a^2\,b^4\,c^2\,d^4-3\,a\,b^5\,c^3\,d^3+b^6\,c^4\,d^2\right)}{a^3\,c^3\,\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{x^2\,\left(3\,a^6\,d^6-20\,a^4\,b^2\,c^2\,d^4+16\,a^3\,b^3\,c^3\,d^3-20\,a^2\,b^4\,c^4\,d^2+3\,b^6\,c^6\right)}{a^3\,c^3\,\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{3\,x^3\,\left(-4\,a^5\,b\,d^6+9\,a^4\,b^2\,c\,d^5+a^3\,b^3\,c^2\,d^4+a^2\,b^4\,c^3\,d^3+9\,a\,b^5\,c^4\,d^2-4\,b^6\,c^5\,d\right)}{2\,a^3\,c^3\,\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{x\,\left(9\,a^5\,d^5-23\,a^4\,b\,c\,d^4+8\,a^3\,b^2\,c^2\,d^3+8\,a^2\,b^3\,c^3\,d^2-23\,a\,b^4\,c^4\,d+9\,b^5\,c^5\right)}{2\,a^2\,c^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)}}{x^3\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)+x^2\,\left(2\,d\,a^2\,c+2\,b\,a\,c^2\right)+x^4\,\left(2\,c\,b^2\,d+2\,a\,b\,d^2\right)+a^2\,c^2\,x+b^2\,d^2\,x^5}-\frac{\ln\left(a+b\,x\right)\,\left(15\,a^2\,b^4\,d^2-12\,a\,b^5\,c\,d+3\,b^6\,c^2\right)}{a^9\,d^5-5\,a^8\,b\,c\,d^4+10\,a^7\,b^2\,c^2\,d^3-10\,a^6\,b^3\,c^3\,d^2+5\,a^5\,b^4\,c^4\,d-a^4\,b^5\,c^5}-\frac{\ln\left(c+d\,x\right)\,\left(3\,a^2\,d^6-12\,a\,b\,c\,d^5+15\,b^2\,c^2\,d^4\right)}{-a^5\,c^4\,d^5+5\,a^4\,b\,c^5\,d^4-10\,a^3\,b^2\,c^6\,d^3+10\,a^2\,b^3\,c^7\,d^2-5\,a\,b^4\,c^8\,d+b^5\,c^9}-\frac{3\,\ln\left(x\right)\,\left(a\,d+b\,c\right)}{a^4\,c^4}","Not used",1,"- (1/(a*c) + (3*x^4*(a^4*b^2*d^6 + b^6*c^4*d^2 - 3*a*b^5*c^3*d^3 - 3*a^3*b^3*c*d^5 + 2*a^2*b^4*c^2*d^4))/(a^3*c^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)) + (x^2*(3*a^6*d^6 + 3*b^6*c^6 - 20*a^2*b^4*c^4*d^2 + 16*a^3*b^3*c^3*d^3 - 20*a^4*b^2*c^2*d^4))/(a^3*c^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)) - (3*x^3*(9*a*b^5*c^4*d^2 - 4*b^6*c^5*d - 4*a^5*b*d^6 + 9*a^4*b^2*c*d^5 + a^2*b^4*c^3*d^3 + a^3*b^3*c^2*d^4))/(2*a^3*c^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)) + (x*(9*a^5*d^5 + 9*b^5*c^5 + 8*a^2*b^3*c^3*d^2 + 8*a^3*b^2*c^2*d^3 - 23*a*b^4*c^4*d - 23*a^4*b*c*d^4))/(2*a^2*c^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)))/(x^3*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d) + x^2*(2*a*b*c^2 + 2*a^2*c*d) + x^4*(2*a*b*d^2 + 2*b^2*c*d) + a^2*c^2*x + b^2*d^2*x^5) - (log(a + b*x)*(3*b^6*c^2 + 15*a^2*b^4*d^2 - 12*a*b^5*c*d))/(a^9*d^5 - a^4*b^5*c^5 + 5*a^5*b^4*c^4*d - 10*a^6*b^3*c^3*d^2 + 10*a^7*b^2*c^2*d^3 - 5*a^8*b*c*d^4) - (log(c + d*x)*(3*a^2*d^6 + 15*b^2*c^2*d^4 - 12*a*b*c*d^5))/(b^5*c^9 - a^5*c^4*d^5 + 5*a^4*b*c^5*d^4 + 10*a^2*b^3*c^7*d^2 - 10*a^3*b^2*c^6*d^3 - 5*a*b^4*c^8*d) - (3*log(x)*(a*d + b*c))/(a^4*c^4)","B"
319,1,27,39,0.060287,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a + b*x),x)","\frac{2\,x^{9/2}\,\left(143\,A\,a+117\,A\,b\,x+117\,B\,a\,x+99\,B\,b\,x^2\right)}{1287}","Not used",1,"(2*x^(9/2)*(143*A*a + 117*A*b*x + 117*B*a*x + 99*B*b*x^2))/1287","B"
320,1,27,39,0.047958,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x),x)","\frac{2\,x^{7/2}\,\left(99\,A\,a+77\,A\,b\,x+77\,B\,a\,x+63\,B\,b\,x^2\right)}{693}","Not used",1,"(2*x^(7/2)*(99*A*a + 77*A*b*x + 77*B*a*x + 63*B*b*x^2))/693","B"
321,1,27,39,0.051711,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x),x)","\frac{2\,x^{5/2}\,\left(63\,A\,a+45\,A\,b\,x+45\,B\,a\,x+35\,B\,b\,x^2\right)}{315}","Not used",1,"(2*x^(5/2)*(63*A*a + 45*A*b*x + 45*B*a*x + 35*B*b*x^2))/315","B"
322,1,27,39,0.343043,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x),x)","\frac{2\,x^{3/2}\,\left(35\,A\,a+21\,A\,b\,x+21\,B\,a\,x+15\,B\,b\,x^2\right)}{105}","Not used",1,"(2*x^(3/2)*(35*A*a + 21*A*b*x + 21*B*a*x + 15*B*b*x^2))/105","B"
323,1,27,37,0.047614,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(15\,A\,a+5\,A\,b\,x+5\,B\,a\,x+3\,B\,b\,x^2\right)}{15}","Not used",1,"(2*x^(1/2)*(15*A*a + 5*A*b*x + 5*B*a*x + 3*B*b*x^2))/15","B"
324,1,27,35,0.344434,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^(3/2),x)","\frac{6\,A\,b\,x-6\,A\,a+6\,B\,a\,x+2\,B\,b\,x^2}{3\,\sqrt{x}}","Not used",1,"(6*A*b*x - 6*A*a + 6*B*a*x + 2*B*b*x^2)/(3*x^(1/2))","B"
325,1,27,35,0.338314,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^(5/2),x)","-\frac{2\,A\,a+6\,A\,b\,x+6\,B\,a\,x-6\,B\,b\,x^2}{3\,x^{3/2}}","Not used",1,"-(2*A*a + 6*A*b*x + 6*B*a*x - 6*B*b*x^2)/(3*x^(3/2))","B"
326,1,28,37,0.035587,"\text{Not used}","int(((A + B*x)*(a + b*x))/x^(7/2),x)","-\frac{2\,B\,b\,x^2+\left(\frac{2\,A\,b}{3}+\frac{2\,B\,a}{3}\right)\,x+\frac{2\,A\,a}{5}}{x^{5/2}}","Not used",1,"-((2*A*a)/5 + x*((2*A*b)/3 + (2*B*a)/3) + 2*B*b*x^2)/x^(5/2)","B"
327,1,51,63,0.370219,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a + b*x)^2,x)","x^{11/2}\,\left(\frac{2\,B\,a^2}{11}+\frac{4\,A\,b\,a}{11}\right)+x^{13/2}\,\left(\frac{2\,A\,b^2}{13}+\frac{4\,B\,a\,b}{13}\right)+\frac{2\,A\,a^2\,x^{9/2}}{9}+\frac{2\,B\,b^2\,x^{15/2}}{15}","Not used",1,"x^(11/2)*((2*B*a^2)/11 + (4*A*a*b)/11) + x^(13/2)*((2*A*b^2)/13 + (4*B*a*b)/13) + (2*A*a^2*x^(9/2))/9 + (2*B*b^2*x^(15/2))/15","B"
328,1,51,63,0.055235,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x)^2,x)","x^{9/2}\,\left(\frac{2\,B\,a^2}{9}+\frac{4\,A\,b\,a}{9}\right)+x^{11/2}\,\left(\frac{2\,A\,b^2}{11}+\frac{4\,B\,a\,b}{11}\right)+\frac{2\,A\,a^2\,x^{7/2}}{7}+\frac{2\,B\,b^2\,x^{13/2}}{13}","Not used",1,"x^(9/2)*((2*B*a^2)/9 + (4*A*a*b)/9) + x^(11/2)*((2*A*b^2)/11 + (4*B*a*b)/11) + (2*A*a^2*x^(7/2))/7 + (2*B*b^2*x^(13/2))/13","B"
329,1,51,63,0.058004,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x)^2,x)","x^{7/2}\,\left(\frac{2\,B\,a^2}{7}+\frac{4\,A\,b\,a}{7}\right)+x^{9/2}\,\left(\frac{2\,A\,b^2}{9}+\frac{4\,B\,a\,b}{9}\right)+\frac{2\,A\,a^2\,x^{5/2}}{5}+\frac{2\,B\,b^2\,x^{11/2}}{11}","Not used",1,"x^(7/2)*((2*B*a^2)/7 + (4*A*a*b)/7) + x^(9/2)*((2*A*b^2)/9 + (4*B*a*b)/9) + (2*A*a^2*x^(5/2))/5 + (2*B*b^2*x^(11/2))/11","B"
330,1,51,63,0.057741,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x)^2,x)","x^{5/2}\,\left(\frac{2\,B\,a^2}{5}+\frac{4\,A\,b\,a}{5}\right)+x^{7/2}\,\left(\frac{2\,A\,b^2}{7}+\frac{4\,B\,a\,b}{7}\right)+\frac{2\,A\,a^2\,x^{3/2}}{3}+\frac{2\,B\,b^2\,x^{9/2}}{9}","Not used",1,"x^(5/2)*((2*B*a^2)/5 + (4*A*a*b)/5) + x^(7/2)*((2*A*b^2)/7 + (4*B*a*b)/7) + (2*A*a^2*x^(3/2))/3 + (2*B*b^2*x^(9/2))/9","B"
331,1,51,61,0.055999,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^(1/2),x)","x^{3/2}\,\left(\frac{2\,B\,a^2}{3}+\frac{4\,A\,b\,a}{3}\right)+x^{5/2}\,\left(\frac{2\,A\,b^2}{5}+\frac{4\,B\,a\,b}{5}\right)+2\,A\,a^2\,\sqrt{x}+\frac{2\,B\,b^2\,x^{7/2}}{7}","Not used",1,"x^(3/2)*((2*B*a^2)/3 + (4*A*a*b)/3) + x^(5/2)*((2*A*b^2)/5 + (4*B*a*b)/5) + 2*A*a^2*x^(1/2) + (2*B*b^2*x^(7/2))/7","B"
332,1,51,59,0.055316,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^(3/2),x)","\sqrt{x}\,\left(2\,B\,a^2+4\,A\,b\,a\right)+x^{3/2}\,\left(\frac{2\,A\,b^2}{3}+\frac{4\,B\,a\,b}{3}\right)-\frac{2\,A\,a^2}{\sqrt{x}}+\frac{2\,B\,b^2\,x^{5/2}}{5}","Not used",1,"x^(1/2)*(2*B*a^2 + 4*A*a*b) + x^(3/2)*((2*A*b^2)/3 + (4*B*a*b)/3) - (2*A*a^2)/x^(1/2) + (2*B*b^2*x^(5/2))/5","B"
333,1,51,59,0.057052,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^(5/2),x)","-\frac{6\,B\,a^2\,x+2\,A\,a^2-12\,B\,a\,b\,x^2+12\,A\,a\,b\,x-2\,B\,b^2\,x^3-6\,A\,b^2\,x^2}{3\,x^{3/2}}","Not used",1,"-(2*A*a^2 - 6*A*b^2*x^2 - 2*B*b^2*x^3 + 6*B*a^2*x - 12*B*a*b*x^2 + 12*A*a*b*x)/(3*x^(3/2))","B"
334,1,52,59,0.060793,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/x^(7/2),x)","2\,B\,b^2\,\sqrt{x}-\frac{x^2\,\left(2\,A\,b^2+4\,B\,a\,b\right)+\frac{2\,A\,a^2}{5}+x\,\left(\frac{2\,B\,a^2}{3}+\frac{4\,A\,b\,a}{3}\right)}{x^{5/2}}","Not used",1,"2*B*b^2*x^(1/2) - (x^2*(2*A*b^2 + 4*B*a*b) + (2*A*a^2)/5 + x*((2*B*a^2)/3 + (4*A*a*b)/3))/x^(5/2)","B"
335,1,69,85,0.343181,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a + b*x)^3,x)","x^{11/2}\,\left(\frac{2\,B\,a^3}{11}+\frac{6\,A\,b\,a^2}{11}\right)+x^{15/2}\,\left(\frac{2\,A\,b^3}{15}+\frac{2\,B\,a\,b^2}{5}\right)+\frac{2\,A\,a^3\,x^{9/2}}{9}+\frac{2\,B\,b^3\,x^{17/2}}{17}+\frac{6\,a\,b\,x^{13/2}\,\left(A\,b+B\,a\right)}{13}","Not used",1,"x^(11/2)*((2*B*a^3)/11 + (6*A*a^2*b)/11) + x^(15/2)*((2*A*b^3)/15 + (2*B*a*b^2)/5) + (2*A*a^3*x^(9/2))/9 + (2*B*b^3*x^(17/2))/17 + (6*a*b*x^(13/2)*(A*b + B*a))/13","B"
336,1,69,85,0.034467,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x)^3,x)","x^{9/2}\,\left(\frac{2\,B\,a^3}{9}+\frac{2\,A\,b\,a^2}{3}\right)+x^{13/2}\,\left(\frac{2\,A\,b^3}{13}+\frac{6\,B\,a\,b^2}{13}\right)+\frac{2\,A\,a^3\,x^{7/2}}{7}+\frac{2\,B\,b^3\,x^{15/2}}{15}+\frac{6\,a\,b\,x^{11/2}\,\left(A\,b+B\,a\right)}{11}","Not used",1,"x^(9/2)*((2*B*a^3)/9 + (2*A*a^2*b)/3) + x^(13/2)*((2*A*b^3)/13 + (6*B*a*b^2)/13) + (2*A*a^3*x^(7/2))/7 + (2*B*b^3*x^(15/2))/15 + (6*a*b*x^(11/2)*(A*b + B*a))/11","B"
337,1,69,85,0.034529,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x)^3,x)","x^{7/2}\,\left(\frac{2\,B\,a^3}{7}+\frac{6\,A\,b\,a^2}{7}\right)+x^{11/2}\,\left(\frac{2\,A\,b^3}{11}+\frac{6\,B\,a\,b^2}{11}\right)+\frac{2\,A\,a^3\,x^{5/2}}{5}+\frac{2\,B\,b^3\,x^{13/2}}{13}+\frac{2\,a\,b\,x^{9/2}\,\left(A\,b+B\,a\right)}{3}","Not used",1,"x^(7/2)*((2*B*a^3)/7 + (6*A*a^2*b)/7) + x^(11/2)*((2*A*b^3)/11 + (6*B*a*b^2)/11) + (2*A*a^3*x^(5/2))/5 + (2*B*b^3*x^(13/2))/13 + (2*a*b*x^(9/2)*(A*b + B*a))/3","B"
338,1,69,85,0.039187,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x)^3,x)","x^{5/2}\,\left(\frac{2\,B\,a^3}{5}+\frac{6\,A\,b\,a^2}{5}\right)+x^{9/2}\,\left(\frac{2\,A\,b^3}{9}+\frac{2\,B\,a\,b^2}{3}\right)+\frac{2\,A\,a^3\,x^{3/2}}{3}+\frac{2\,B\,b^3\,x^{11/2}}{11}+\frac{6\,a\,b\,x^{7/2}\,\left(A\,b+B\,a\right)}{7}","Not used",1,"x^(5/2)*((2*B*a^3)/5 + (6*A*a^2*b)/5) + x^(9/2)*((2*A*b^3)/9 + (2*B*a*b^2)/3) + (2*A*a^3*x^(3/2))/3 + (2*B*b^3*x^(11/2))/11 + (6*a*b*x^(7/2)*(A*b + B*a))/7","B"
339,1,69,83,0.033818,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^(1/2),x)","x^{3/2}\,\left(\frac{2\,B\,a^3}{3}+2\,A\,b\,a^2\right)+x^{7/2}\,\left(\frac{2\,A\,b^3}{7}+\frac{6\,B\,a\,b^2}{7}\right)+2\,A\,a^3\,\sqrt{x}+\frac{2\,B\,b^3\,x^{9/2}}{9}+\frac{6\,a\,b\,x^{5/2}\,\left(A\,b+B\,a\right)}{5}","Not used",1,"x^(3/2)*((2*B*a^3)/3 + 2*A*a^2*b) + x^(7/2)*((2*A*b^3)/7 + (6*B*a*b^2)/7) + 2*A*a^3*x^(1/2) + (2*B*b^3*x^(9/2))/9 + (6*a*b*x^(5/2)*(A*b + B*a))/5","B"
340,1,69,79,0.037185,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^(3/2),x)","\sqrt{x}\,\left(2\,B\,a^3+6\,A\,b\,a^2\right)+x^{5/2}\,\left(\frac{2\,A\,b^3}{5}+\frac{6\,B\,a\,b^2}{5}\right)-\frac{2\,A\,a^3}{\sqrt{x}}+\frac{2\,B\,b^3\,x^{7/2}}{7}+2\,a\,b\,x^{3/2}\,\left(A\,b+B\,a\right)","Not used",1,"x^(1/2)*(2*B*a^3 + 6*A*a^2*b) + x^(5/2)*((2*A*b^3)/5 + (6*B*a*b^2)/5) - (2*A*a^3)/x^(1/2) + (2*B*b^3*x^(7/2))/7 + 2*a*b*x^(3/2)*(A*b + B*a)","B"
341,1,70,81,0.065006,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^(5/2),x)","x^{3/2}\,\left(\frac{2\,A\,b^3}{3}+2\,B\,a\,b^2\right)-\frac{x\,\left(2\,B\,a^3+6\,A\,b\,a^2\right)+\frac{2\,A\,a^3}{3}}{x^{3/2}}+\frac{2\,B\,b^3\,x^{5/2}}{5}+6\,a\,b\,\sqrt{x}\,\left(A\,b+B\,a\right)","Not used",1,"x^(3/2)*((2*A*b^3)/3 + 2*B*a*b^2) - (x*(2*B*a^3 + 6*A*a^2*b) + (2*A*a^3)/3)/x^(3/2) + (2*B*b^3*x^(5/2))/5 + 6*a*b*x^(1/2)*(A*b + B*a)","B"
342,1,75,81,0.065397,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/x^(7/2),x)","-\frac{10\,B\,a^3\,x+6\,A\,a^3+90\,B\,a^2\,b\,x^2+30\,A\,a^2\,b\,x-90\,B\,a\,b^2\,x^3+90\,A\,a\,b^2\,x^2-10\,B\,b^3\,x^4-30\,A\,b^3\,x^3}{15\,x^{5/2}}","Not used",1,"-(6*A*a^3 - 30*A*b^3*x^3 - 10*B*b^3*x^4 + 10*B*a^3*x + 30*A*a^2*b*x + 90*A*a*b^2*x^2 + 90*B*a^2*b*x^2 - 90*B*a*b^2*x^3)/(15*x^(5/2))","B"
343,1,32,44,0.359051,"\text{Not used}","int(-(x^(1/2)*(3*x - 2)^3)/(x + 1)^2,x)","575\,\mathrm{atan}\left(\sqrt{x}\right)-\frac{125\,\sqrt{x}}{x+1}-450\,\sqrt{x}+72\,x^{3/2}-\frac{54\,x^{5/2}}{5}","Not used",1,"575*atan(x^(1/2)) - (125*x^(1/2))/(x + 1) - 450*x^(1/2) + 72*x^(3/2) - (54*x^(5/2))/5","B"
344,1,151,136,0.060378,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x),x)","x^{7/2}\,\left(\frac{2\,A}{7\,b}-\frac{2\,B\,a}{7\,b^2}\right)+\frac{2\,B\,x^{9/2}}{9\,b}+\frac{a^2\,x^{3/2}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)}{3\,b^2}-\frac{a^3\,\sqrt{x}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)}{b^3}-\frac{2\,a^{7/2}\,\mathrm{atan}\left(\frac{a^{7/2}\,\sqrt{b}\,\sqrt{x}\,\left(A\,b-B\,a\right)}{B\,a^5-A\,a^4\,b}\right)\,\left(A\,b-B\,a\right)}{b^{11/2}}-\frac{a\,x^{5/2}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)}{5\,b}","Not used",1,"x^(7/2)*((2*A)/(7*b) - (2*B*a)/(7*b^2)) + (2*B*x^(9/2))/(9*b) + (a^2*x^(3/2)*((2*A)/b - (2*B*a)/b^2))/(3*b^2) - (a^3*x^(1/2)*((2*A)/b - (2*B*a)/b^2))/b^3 - (2*a^(7/2)*atan((a^(7/2)*b^(1/2)*x^(1/2)*(A*b - B*a))/(B*a^5 - A*a^4*b))*(A*b - B*a))/b^(11/2) - (a*x^(5/2)*((2*A)/b - (2*B*a)/b^2))/(5*b)","B"
345,1,125,113,0.356463,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x),x)","x^{5/2}\,\left(\frac{2\,A}{5\,b}-\frac{2\,B\,a}{5\,b^2}\right)+\frac{2\,B\,x^{7/2}}{7\,b}+\frac{a^2\,\sqrt{x}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)}{b^2}+\frac{2\,a^{5/2}\,\mathrm{atan}\left(\frac{a^{5/2}\,\sqrt{b}\,\sqrt{x}\,\left(A\,b-B\,a\right)}{B\,a^4-A\,a^3\,b}\right)\,\left(A\,b-B\,a\right)}{b^{9/2}}-\frac{a\,x^{3/2}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)}{3\,b}","Not used",1,"x^(5/2)*((2*A)/(5*b) - (2*B*a)/(5*b^2)) + (2*B*x^(7/2))/(7*b) + (a^2*x^(1/2)*((2*A)/b - (2*B*a)/b^2))/b^2 + (2*a^(5/2)*atan((a^(5/2)*b^(1/2)*x^(1/2)*(A*b - B*a))/(B*a^4 - A*a^3*b))*(A*b - B*a))/b^(9/2) - (a*x^(3/2)*((2*A)/b - (2*B*a)/b^2))/(3*b)","B"
346,1,101,90,0.077072,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x),x)","x^{3/2}\,\left(\frac{2\,A}{3\,b}-\frac{2\,B\,a}{3\,b^2}\right)+\frac{2\,B\,x^{5/2}}{5\,b}-\frac{2\,a^{3/2}\,\mathrm{atan}\left(\frac{a^{3/2}\,\sqrt{b}\,\sqrt{x}\,\left(A\,b-B\,a\right)}{B\,a^3-A\,a^2\,b}\right)\,\left(A\,b-B\,a\right)}{b^{7/2}}-\frac{a\,\sqrt{x}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)}{b}","Not used",1,"x^(3/2)*((2*A)/(3*b) - (2*B*a)/(3*b^2)) + (2*B*x^(5/2))/(5*b) - (2*a^(3/2)*atan((a^(3/2)*b^(1/2)*x^(1/2)*(A*b - B*a))/(B*a^3 - A*a^2*b))*(A*b - B*a))/b^(7/2) - (a*x^(1/2)*((2*A)/b - (2*B*a)/b^2))/b","B"
347,1,76,69,0.387355,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x),x)","\sqrt{x}\,\left(\frac{2\,A}{b}-\frac{2\,B\,a}{b^2}\right)+\frac{2\,B\,x^{3/2}}{3\,b}+\frac{2\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\sqrt{x}\,\left(A\,b-B\,a\right)}{B\,a^2-A\,a\,b}\right)\,\left(A\,b-B\,a\right)}{b^{5/2}}","Not used",1,"x^(1/2)*((2*A)/b - (2*B*a)/b^2) + (2*B*x^(3/2))/(3*b) + (2*a^(1/2)*atan((a^(1/2)*b^(1/2)*x^(1/2)*(A*b - B*a))/(B*a^2 - A*a*b))*(A*b - B*a))/b^(5/2)","B"
348,1,37,49,0.361766,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x)),x)","\frac{2\,B\,\sqrt{x}}{b}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-B\,a\right)}{\sqrt{a}\,b^{3/2}}","Not used",1,"(2*B*x^(1/2))/b + (2*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - B*a))/(a^(1/2)*b^(3/2))","B"
349,1,50,49,0.075451,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x)),x)","\frac{2\,B\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}-\frac{2\,A\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{2\,A}{a\,\sqrt{x}}","Not used",1,"(2*B*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(a^(1/2)*b^(1/2)) - (2*A*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/a^(3/2) - (2*A)/(a*x^(1/2))","B"
350,1,54,69,0.387651,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x)),x)","\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-B\,a\right)}{a^{5/2}}-\frac{\frac{2\,A}{3\,a}-\frac{2\,x\,\left(A\,b-B\,a\right)}{a^2}}{x^{3/2}}","Not used",1,"(2*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - B*a))/a^(5/2) - ((2*A)/(3*a) - (2*x*(A*b - B*a))/a^2)/x^(3/2)","B"
351,1,71,90,0.398584,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x)),x)","-\frac{\frac{2\,A}{5\,a}-\frac{2\,x\,\left(A\,b-B\,a\right)}{3\,a^2}+\frac{2\,b\,x^2\,\left(A\,b-B\,a\right)}{a^3}}{x^{5/2}}-\frac{2\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-B\,a\right)}{a^{7/2}}","Not used",1,"- ((2*A)/(5*a) - (2*x*(A*b - B*a))/(3*a^2) + (2*b*x^2*(A*b - B*a))/a^3)/x^(5/2) - (2*b^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - B*a))/a^(7/2)","B"
352,1,90,113,0.419749,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + b*x)),x)","\frac{2\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-B\,a\right)}{a^{9/2}}-\frac{\frac{2\,A}{7\,a}-\frac{2\,x\,\left(A\,b-B\,a\right)}{5\,a^2}-\frac{2\,b^2\,x^3\,\left(A\,b-B\,a\right)}{a^4}+\frac{2\,b\,x^2\,\left(A\,b-B\,a\right)}{3\,a^3}}{x^{7/2}}","Not used",1,"(2*b^(5/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - B*a))/a^(9/2) - ((2*A)/(7*a) - (2*x*(A*b - B*a))/(5*a^2) - (2*b^2*x^3*(A*b - B*a))/a^4 + (2*b*x^2*(A*b - B*a))/(3*a^3))/x^(7/2)","B"
353,1,109,136,0.451775,"\text{Not used}","int((A + B*x)/(x^(11/2)*(a + b*x)),x)","-\frac{\frac{2\,A}{9\,a}-\frac{2\,x\,\left(A\,b-B\,a\right)}{7\,a^2}-\frac{2\,b^2\,x^3\,\left(A\,b-B\,a\right)}{3\,a^4}+\frac{2\,b^3\,x^4\,\left(A\,b-B\,a\right)}{a^5}+\frac{2\,b\,x^2\,\left(A\,b-B\,a\right)}{5\,a^3}}{x^{9/2}}-\frac{2\,b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-B\,a\right)}{a^{11/2}}","Not used",1,"- ((2*A)/(9*a) - (2*x*(A*b - B*a))/(7*a^2) - (2*b^2*x^3*(A*b - B*a))/(3*a^4) + (2*b^3*x^4*(A*b - B*a))/a^5 + (2*b*x^2*(A*b - B*a))/(5*a^3))/x^(9/2) - (2*b^(7/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - B*a))/a^(11/2)","B"
354,1,209,154,0.394081,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x)^2,x)","\sqrt{x}\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,A}{b^2}-\frac{4\,B\,a}{b^3}\right)}{b}+\frac{2\,B\,a^2}{b^4}\right)}{b}-\frac{a^2\,\left(\frac{2\,A}{b^2}-\frac{4\,B\,a}{b^3}\right)}{b^2}\right)+x^{5/2}\,\left(\frac{2\,A}{5\,b^2}-\frac{4\,B\,a}{5\,b^3}\right)-x^{3/2}\,\left(\frac{2\,a\,\left(\frac{2\,A}{b^2}-\frac{4\,B\,a}{b^3}\right)}{3\,b}+\frac{2\,B\,a^2}{3\,b^4}\right)+\frac{2\,B\,x^{7/2}}{7\,b^2}-\frac{\sqrt{x}\,\left(B\,a^4-A\,a^3\,b\right)}{x\,b^6+a\,b^5}+\frac{a^{5/2}\,\mathrm{atan}\left(\frac{a^{5/2}\,\sqrt{b}\,\sqrt{x}\,\left(7\,A\,b-9\,B\,a\right)}{9\,B\,a^4-7\,A\,a^3\,b}\right)\,\left(7\,A\,b-9\,B\,a\right)}{b^{11/2}}","Not used",1,"x^(1/2)*((2*a*((2*a*((2*A)/b^2 - (4*B*a)/b^3))/b + (2*B*a^2)/b^4))/b - (a^2*((2*A)/b^2 - (4*B*a)/b^3))/b^2) + x^(5/2)*((2*A)/(5*b^2) - (4*B*a)/(5*b^3)) - x^(3/2)*((2*a*((2*A)/b^2 - (4*B*a)/b^3))/(3*b) + (2*B*a^2)/(3*b^4)) + (2*B*x^(7/2))/(7*b^2) - (x^(1/2)*(B*a^4 - A*a^3*b))/(a*b^5 + b^6*x) + (a^(5/2)*atan((a^(5/2)*b^(1/2)*x^(1/2)*(7*A*b - 9*B*a))/(9*B*a^4 - 7*A*a^3*b))*(7*A*b - 9*B*a))/b^(11/2)","B"
355,1,146,130,0.063628,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x)^2,x)","x^{3/2}\,\left(\frac{2\,A}{3\,b^2}-\frac{4\,B\,a}{3\,b^3}\right)-\sqrt{x}\,\left(\frac{2\,a\,\left(\frac{2\,A}{b^2}-\frac{4\,B\,a}{b^3}\right)}{b}+\frac{2\,B\,a^2}{b^4}\right)+\frac{2\,B\,x^{5/2}}{5\,b^2}+\frac{\sqrt{x}\,\left(B\,a^3-A\,a^2\,b\right)}{x\,b^5+a\,b^4}-\frac{a^{3/2}\,\mathrm{atan}\left(\frac{a^{3/2}\,\sqrt{b}\,\sqrt{x}\,\left(5\,A\,b-7\,B\,a\right)}{7\,B\,a^3-5\,A\,a^2\,b}\right)\,\left(5\,A\,b-7\,B\,a\right)}{b^{9/2}}","Not used",1,"x^(3/2)*((2*A)/(3*b^2) - (4*B*a)/(3*b^3)) - x^(1/2)*((2*a*((2*A)/b^2 - (4*B*a)/b^3))/b + (2*B*a^2)/b^4) + (2*B*x^(5/2))/(5*b^2) + (x^(1/2)*(B*a^3 - A*a^2*b))/(a*b^4 + b^5*x) - (a^(3/2)*atan((a^(3/2)*b^(1/2)*x^(1/2)*(5*A*b - 7*B*a))/(7*B*a^3 - 5*A*a^2*b))*(5*A*b - 7*B*a))/b^(9/2)","B"
356,1,107,108,0.085701,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x)^2,x)","\sqrt{x}\,\left(\frac{2\,A}{b^2}-\frac{4\,B\,a}{b^3}\right)-\frac{\sqrt{x}\,\left(B\,a^2-A\,a\,b\right)}{x\,b^4+a\,b^3}+\frac{2\,B\,x^{3/2}}{3\,b^2}+\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\sqrt{x}\,\left(3\,A\,b-5\,B\,a\right)}{5\,B\,a^2-3\,A\,a\,b}\right)\,\left(3\,A\,b-5\,B\,a\right)}{b^{7/2}}","Not used",1,"x^(1/2)*((2*A)/b^2 - (4*B*a)/b^3) - (x^(1/2)*(B*a^2 - A*a*b))/(a*b^3 + b^4*x) + (2*B*x^(3/2))/(3*b^2) + (a^(1/2)*atan((a^(1/2)*b^(1/2)*x^(1/2)*(3*A*b - 5*B*a))/(5*B*a^2 - 3*A*a*b))*(3*A*b - 5*B*a))/b^(7/2)","B"
357,1,62,85,0.393779,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x)^2,x)","\frac{2\,B\,\sqrt{x}}{b^2}-\frac{\sqrt{x}\,\left(A\,b-B\,a\right)}{x\,b^3+a\,b^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-3\,B\,a\right)}{\sqrt{a}\,b^{5/2}}","Not used",1,"(2*B*x^(1/2))/b^2 - (x^(1/2)*(A*b - B*a))/(a*b^2 + b^3*x) + (atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - 3*B*a))/(a^(1/2)*b^(5/2))","B"
358,1,51,63,0.415686,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x)^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b+B\,a\right)}{a^{3/2}\,b^{3/2}}+\frac{\sqrt{x}\,\left(A\,b-B\,a\right)}{a\,b\,\left(a+b\,x\right)}","Not used",1,"(atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b + B*a))/(a^(3/2)*b^(3/2)) + (x^(1/2)*(A*b - B*a))/(a*b*(a + b*x))","B"
359,1,65,88,0.431166,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x)^2),x)","-\frac{\frac{2\,A}{a}+\frac{x\,\left(3\,A\,b-B\,a\right)}{a^2}}{a\,\sqrt{x}+b\,x^{3/2}}-\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(3\,A\,b-B\,a\right)}{a^{5/2}\,\sqrt{b}}","Not used",1,"- ((2*A)/a + (x*(3*A*b - B*a))/a^2)/(a*x^(1/2) + b*x^(3/2)) - (atan((b^(1/2)*x^(1/2))/a^(1/2))*(3*A*b - B*a))/(a^(5/2)*b^(1/2))","B"
360,1,81,107,0.428383,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x)^2),x)","\frac{\frac{2\,x\,\left(5\,A\,b-3\,B\,a\right)}{3\,a^2}-\frac{2\,A}{3\,a}+\frac{b\,x^2\,\left(5\,A\,b-3\,B\,a\right)}{a^3}}{a\,x^{3/2}+b\,x^{5/2}}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(5\,A\,b-3\,B\,a\right)}{a^{7/2}}","Not used",1,"((2*x*(5*A*b - 3*B*a))/(3*a^2) - (2*A)/(3*a) + (b*x^2*(5*A*b - 3*B*a))/a^3)/(a*x^(3/2) + b*x^(5/2)) + (b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(5*A*b - 3*B*a))/a^(7/2)","B"
361,1,103,131,0.431775,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x)^2),x)","-\frac{\frac{2\,A}{5\,a}-\frac{2\,x\,\left(7\,A\,b-5\,B\,a\right)}{15\,a^2}+\frac{b^2\,x^3\,\left(7\,A\,b-5\,B\,a\right)}{a^4}+\frac{2\,b\,x^2\,\left(7\,A\,b-5\,B\,a\right)}{3\,a^3}}{a\,x^{5/2}+b\,x^{7/2}}-\frac{b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(7\,A\,b-5\,B\,a\right)}{a^{9/2}}","Not used",1,"- ((2*A)/(5*a) - (2*x*(7*A*b - 5*B*a))/(15*a^2) + (b^2*x^3*(7*A*b - 5*B*a))/a^4 + (2*b*x^2*(7*A*b - 5*B*a))/(3*a^3))/(a*x^(5/2) + b*x^(7/2)) - (b^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(7*A*b - 5*B*a))/a^(9/2)","B"
362,1,121,153,0.461126,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + b*x)^2),x)","\frac{\frac{2\,x\,\left(9\,A\,b-7\,B\,a\right)}{35\,a^2}-\frac{2\,A}{7\,a}+\frac{2\,b^2\,x^3\,\left(9\,A\,b-7\,B\,a\right)}{3\,a^4}+\frac{b^3\,x^4\,\left(9\,A\,b-7\,B\,a\right)}{a^5}-\frac{2\,b\,x^2\,\left(9\,A\,b-7\,B\,a\right)}{15\,a^3}}{a\,x^{7/2}+b\,x^{9/2}}+\frac{b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(9\,A\,b-7\,B\,a\right)}{a^{11/2}}","Not used",1,"((2*x*(9*A*b - 7*B*a))/(35*a^2) - (2*A)/(7*a) + (2*b^2*x^3*(9*A*b - 7*B*a))/(3*a^4) + (b^3*x^4*(9*A*b - 7*B*a))/a^5 - (2*b*x^2*(9*A*b - 7*B*a))/(15*a^3))/(a*x^(7/2) + b*x^(9/2)) + (b^(5/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(9*A*b - 7*B*a))/a^(11/2)","B"
363,1,183,169,0.405052,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x)^3,x)","x^{3/2}\,\left(\frac{2\,A}{3\,b^3}-\frac{2\,B\,a}{b^4}\right)-\frac{x^{3/2}\,\left(\frac{13\,A\,a^2\,b^2}{4}-\frac{17\,B\,a^3\,b}{4}\right)-\sqrt{x}\,\left(\frac{15\,B\,a^4}{4}-\frac{11\,A\,a^3\,b}{4}\right)}{a^2\,b^5+2\,a\,b^6\,x+b^7\,x^2}-\sqrt{x}\,\left(\frac{3\,a\,\left(\frac{2\,A}{b^3}-\frac{6\,B\,a}{b^4}\right)}{b}+\frac{6\,B\,a^2}{b^5}\right)+\frac{2\,B\,x^{5/2}}{5\,b^3}-\frac{7\,a^{3/2}\,\mathrm{atan}\left(\frac{a^{3/2}\,\sqrt{b}\,\sqrt{x}\,\left(5\,A\,b-9\,B\,a\right)}{9\,B\,a^3-5\,A\,a^2\,b}\right)\,\left(5\,A\,b-9\,B\,a\right)}{4\,b^{11/2}}","Not used",1,"x^(3/2)*((2*A)/(3*b^3) - (2*B*a)/b^4) - (x^(3/2)*((13*A*a^2*b^2)/4 - (17*B*a^3*b)/4) - x^(1/2)*((15*B*a^4)/4 - (11*A*a^3*b)/4))/(a^2*b^5 + b^7*x^2 + 2*a*b^6*x) - x^(1/2)*((3*a*((2*A)/b^3 - (6*B*a)/b^4))/b + (6*B*a^2)/b^5) + (2*B*x^(5/2))/(5*b^3) - (7*a^(3/2)*atan((a^(3/2)*b^(1/2)*x^(1/2)*(5*A*b - 9*B*a))/(9*B*a^3 - 5*A*a^2*b))*(5*A*b - 9*B*a))/(4*b^(11/2))","B"
364,1,143,147,0.419784,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x)^3,x)","\frac{x^{3/2}\,\left(\frac{9\,A\,a\,b^2}{4}-\frac{13\,B\,a^2\,b}{4}\right)-\sqrt{x}\,\left(\frac{11\,B\,a^3}{4}-\frac{7\,A\,a^2\,b}{4}\right)}{a^2\,b^4+2\,a\,b^5\,x+b^6\,x^2}+\sqrt{x}\,\left(\frac{2\,A}{b^3}-\frac{6\,B\,a}{b^4}\right)+\frac{2\,B\,x^{3/2}}{3\,b^3}+\frac{5\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\sqrt{x}\,\left(3\,A\,b-7\,B\,a\right)}{7\,B\,a^2-3\,A\,a\,b}\right)\,\left(3\,A\,b-7\,B\,a\right)}{4\,b^{9/2}}","Not used",1,"(x^(3/2)*((9*A*a*b^2)/4 - (13*B*a^2*b)/4) - x^(1/2)*((11*B*a^3)/4 - (7*A*a^2*b)/4))/(a^2*b^4 + b^6*x^2 + 2*a*b^5*x) + x^(1/2)*((2*A)/b^3 - (6*B*a)/b^4) + (2*B*x^(3/2))/(3*b^3) + (5*a^(1/2)*atan((a^(1/2)*b^(1/2)*x^(1/2)*(3*A*b - 7*B*a))/(7*B*a^2 - 3*A*a*b))*(3*A*b - 7*B*a))/(4*b^(9/2))","B"
365,1,96,123,0.433819,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x)^3,x)","\frac{\sqrt{x}\,\left(\frac{7\,B\,a^2}{4}-\frac{3\,A\,a\,b}{4}\right)-x^{3/2}\,\left(\frac{5\,A\,b^2}{4}-\frac{9\,B\,a\,b}{4}\right)}{a^2\,b^3+2\,a\,b^4\,x+b^5\,x^2}+\frac{2\,B\,\sqrt{x}}{b^3}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-5\,B\,a\right)}{4\,\sqrt{a}\,b^{7/2}}","Not used",1,"(x^(1/2)*((7*B*a^2)/4 - (3*A*a*b)/4) - x^(3/2)*((5*A*b^2)/4 - (9*B*a*b)/4))/(a^2*b^3 + b^5*x^2 + 2*a*b^4*x) + (2*B*x^(1/2))/b^3 + (3*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - 5*B*a))/(4*a^(1/2)*b^(7/2))","B"
366,1,84,100,0.450250,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b+3\,B\,a\right)}{4\,a^{3/2}\,b^{5/2}}-\frac{\frac{\sqrt{x}\,\left(A\,b+3\,B\,a\right)}{4\,b^2}-\frac{x^{3/2}\,\left(A\,b-5\,B\,a\right)}{4\,a\,b}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"(atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b + 3*B*a))/(4*a^(3/2)*b^(5/2)) - ((x^(1/2)*(A*b + 3*B*a))/(4*b^2) - (x^(3/2)*(A*b - 5*B*a))/(4*a*b))/(a^2 + b^2*x^2 + 2*a*b*x)","B"
367,1,84,100,0.126641,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x)^3),x)","\frac{\frac{x^{3/2}\,\left(3\,A\,b+B\,a\right)}{4\,a^2}+\frac{\sqrt{x}\,\left(5\,A\,b-B\,a\right)}{4\,a\,b}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(3\,A\,b+B\,a\right)}{4\,a^{5/2}\,b^{3/2}}","Not used",1,"((x^(3/2)*(3*A*b + B*a))/(4*a^2) + (x^(1/2)*(5*A*b - B*a))/(4*a*b))/(a^2 + b^2*x^2 + 2*a*b*x) + (atan((b^(1/2)*x^(1/2))/a^(1/2))*(3*A*b + B*a))/(4*a^(5/2)*b^(3/2))","B"
368,1,116,126,0.472977,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x)^3),x)","-\frac{\frac{2\,A}{a}+\frac{5\,x\,\left(5\,A\,b-B\,a\right)}{4\,a^2}+\frac{3\,b\,x^2\,\left(5\,A\,b-B\,a\right)}{4\,a^3}}{a^2\,\sqrt{x}+b^2\,x^{5/2}+2\,a\,b\,x^{3/2}}-\frac{3\,\mathrm{atan}\left(\frac{3\,\sqrt{b}\,\sqrt{x}\,\left(5\,A\,b-B\,a\right)}{\sqrt{a}\,\left(15\,A\,b-3\,B\,a\right)}\right)\,\left(5\,A\,b-B\,a\right)}{4\,a^{7/2}\,\sqrt{b}}","Not used",1,"- ((2*A)/a + (5*x*(5*A*b - B*a))/(4*a^2) + (3*b*x^2*(5*A*b - B*a))/(4*a^3))/(a^2*x^(1/2) + b^2*x^(5/2) + 2*a*b*x^(3/2)) - (3*atan((3*b^(1/2)*x^(1/2)*(5*A*b - B*a))/(a^(1/2)*(15*A*b - 3*B*a)))*(5*A*b - B*a))/(4*a^(7/2)*b^(1/2))","B"
369,1,114,147,0.454591,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x)^3),x)","\frac{\frac{2\,x\,\left(7\,A\,b-3\,B\,a\right)}{3\,a^2}-\frac{2\,A}{3\,a}+\frac{5\,b^2\,x^3\,\left(7\,A\,b-3\,B\,a\right)}{4\,a^4}+\frac{25\,b\,x^2\,\left(7\,A\,b-3\,B\,a\right)}{12\,a^3}}{a^2\,x^{3/2}+b^2\,x^{7/2}+2\,a\,b\,x^{5/2}}+\frac{5\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(7\,A\,b-3\,B\,a\right)}{4\,a^{9/2}}","Not used",1,"((2*x*(7*A*b - 3*B*a))/(3*a^2) - (2*A)/(3*a) + (5*b^2*x^3*(7*A*b - 3*B*a))/(4*a^4) + (25*b*x^2*(7*A*b - 3*B*a))/(12*a^3))/(a^2*x^(3/2) + b^2*x^(7/2) + 2*a*b*x^(5/2)) + (5*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(7*A*b - 3*B*a))/(4*a^(9/2))","B"
370,1,135,169,0.479560,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x)^3),x)","-\frac{\frac{2\,A}{5\,a}-\frac{2\,x\,\left(9\,A\,b-5\,B\,a\right)}{15\,a^2}+\frac{35\,b^2\,x^3\,\left(9\,A\,b-5\,B\,a\right)}{12\,a^4}+\frac{7\,b^3\,x^4\,\left(9\,A\,b-5\,B\,a\right)}{4\,a^5}+\frac{14\,b\,x^2\,\left(9\,A\,b-5\,B\,a\right)}{15\,a^3}}{a^2\,x^{5/2}+b^2\,x^{9/2}+2\,a\,b\,x^{7/2}}-\frac{7\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(9\,A\,b-5\,B\,a\right)}{4\,a^{11/2}}","Not used",1,"- ((2*A)/(5*a) - (2*x*(9*A*b - 5*B*a))/(15*a^2) + (35*b^2*x^3*(9*A*b - 5*B*a))/(12*a^4) + (7*b^3*x^4*(9*A*b - 5*B*a))/(4*a^5) + (14*b*x^2*(9*A*b - 5*B*a))/(15*a^3))/(a^2*x^(5/2) + b^2*x^(9/2) + 2*a*b*x^(7/2)) - (7*b^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(9*A*b - 5*B*a))/(4*a^(11/2))","B"
371,1,417,125,0.754519,"\text{Not used}","int(x^m*(A + B*x)*(a + b*x)^4,x)","\frac{B\,b^4\,x^m\,x^6\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^3\,x^m\,x^2\,\left(4\,A\,b+B\,a\right)\,\left(m^5+19\,m^4+137\,m^3+461\,m^2+702\,m+360\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{b^3\,x^m\,x^5\,\left(A\,b+4\,B\,a\right)\,\left(m^5+16\,m^4+95\,m^3+260\,m^2+324\,m+144\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{A\,a^4\,x\,x^m\,\left(m^5+20\,m^4+155\,m^3+580\,m^2+1044\,m+720\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{2\,a\,b^2\,x^m\,x^4\,\left(2\,A\,b+3\,B\,a\right)\,\left(m^5+17\,m^4+107\,m^3+307\,m^2+396\,m+180\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{2\,a^2\,b\,x^m\,x^3\,\left(3\,A\,b+2\,B\,a\right)\,\left(m^5+18\,m^4+121\,m^3+372\,m^2+508\,m+240\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}","Not used",1,"(B*b^4*x^m*x^6*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^3*x^m*x^2*(4*A*b + B*a)*(702*m + 461*m^2 + 137*m^3 + 19*m^4 + m^5 + 360))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (b^3*x^m*x^5*(A*b + 4*B*a)*(324*m + 260*m^2 + 95*m^3 + 16*m^4 + m^5 + 144))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (A*a^4*x*x^m*(1044*m + 580*m^2 + 155*m^3 + 20*m^4 + m^5 + 720))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (2*a*b^2*x^m*x^4*(2*A*b + 3*B*a)*(396*m + 307*m^2 + 107*m^3 + 17*m^4 + m^5 + 180))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (2*a^2*b*x^m*x^3*(3*A*b + 2*B*a)*(508*m + 372*m^2 + 121*m^3 + 18*m^4 + m^5 + 240))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)","B"
372,1,289,96,0.601085,"\text{Not used}","int(x^m*(A + B*x)*(a + b*x)^3,x)","\frac{A\,a^3\,x\,x^m\,\left(m^4+14\,m^3+71\,m^2+154\,m+120\right)}{m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120}+\frac{B\,b^3\,x^m\,x^5\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}{m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120}+\frac{a^2\,x^m\,x^2\,\left(3\,A\,b+B\,a\right)\,\left(m^4+13\,m^3+59\,m^2+107\,m+60\right)}{m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120}+\frac{b^2\,x^m\,x^4\,\left(A\,b+3\,B\,a\right)\,\left(m^4+11\,m^3+41\,m^2+61\,m+30\right)}{m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120}+\frac{3\,a\,b\,x^m\,x^3\,\left(A\,b+B\,a\right)\,\left(m^4+12\,m^3+49\,m^2+78\,m+40\right)}{m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120}","Not used",1,"(A*a^3*x*x^m*(154*m + 71*m^2 + 14*m^3 + m^4 + 120))/(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120) + (B*b^3*x^m*x^5*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))/(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120) + (a^2*x^m*x^2*(3*A*b + B*a)*(107*m + 59*m^2 + 13*m^3 + m^4 + 60))/(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120) + (b^2*x^m*x^4*(A*b + 3*B*a)*(61*m + 41*m^2 + 11*m^3 + m^4 + 30))/(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120) + (3*a*b*x^m*x^3*(A*b + B*a)*(78*m + 49*m^2 + 12*m^3 + m^4 + 40))/(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)","B"
373,1,177,71,0.510679,"\text{Not used}","int(x^m*(A + B*x)*(a + b*x)^2,x)","x^m\,\left(\frac{B\,b^2\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{A\,a^2\,x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{a\,x^2\,\left(2\,A\,b+B\,a\right)\,\left(m^3+8\,m^2+19\,m+12\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{b\,x^3\,\left(A\,b+2\,B\,a\right)\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"x^m*((B*b^2*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (A*a^2*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (a*x^2*(2*A*b + B*a)*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (b*x^3*(A*b + 2*B*a)*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
374,1,95,45,0.443370,"\text{Not used}","int(x^m*(A + B*x)*(a + b*x),x)","x^m\,\left(\frac{x^2\,\left(A\,b+B\,a\right)\,\left(m^2+4\,m+3\right)}{m^3+6\,m^2+11\,m+6}+\frac{B\,b\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}+\frac{A\,a\,x\,\left(m^2+5\,m+6\right)}{m^3+6\,m^2+11\,m+6}\right)","Not used",1,"x^m*((x^2*(A*b + B*a)*(4*m + m^2 + 3))/(11*m + 6*m^2 + m^3 + 6) + (B*b*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6) + (A*a*x*(5*m + m^2 + 6))/(11*m + 6*m^2 + m^3 + 6))","B"
375,0,-1,56,0.000000,"\text{Not used}","int((x^m*(A + B*x))/(a + b*x),x)","\int \frac{x^m\,\left(A+B\,x\right)}{a+b\,x} \,d x","Not used",1,"int((x^m*(A + B*x))/(a + b*x), x)","F"
376,0,-1,73,0.000000,"\text{Not used}","int((x^m*(A + B*x))/(a + b*x)^2,x)","\int \frac{x^m\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((x^m*(A + B*x))/(a + b*x)^2, x)","F"
377,0,-1,81,0.000000,"\text{Not used}","int((x^m*(A + B*x))/(a + b*x)^3,x)","\int \frac{x^m\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((x^m*(A + B*x))/(a + b*x)^3, x)","F"
378,1,781,231,1.206565,"\text{Not used}","int(x^m*(a + b*x)^2*(c + d*x)^5,x)","\frac{b^2\,d^5\,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{c^3\,x^m\,x^3\,\left(10\,a^2\,d^2+10\,a\,b\,c\,d+b^2\,c^2\right)\,\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{d^3\,x^m\,x^6\,\left(a^2\,d^2+10\,a\,b\,c\,d+10\,b^2\,c^2\right)\,\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{a^2\,c^5\,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{a\,c^4\,x^m\,x^2\,\left(5\,a\,d+2\,b\,c\right)\,\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}+\frac{b\,d^4\,x^m\,x^7\,\left(2\,a\,d+5\,b\,c\right)\,\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{5\,c\,d^2\,x^m\,x^5\,\left(a^2\,d^2+4\,a\,b\,c\,d+2\,b^2\,c^2\right)\,\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{5\,c^2\,d\,x^m\,x^4\,\left(2\,a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)\,\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}","Not used",1,"(b^2*d^5*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) + (c^3*x^m*x^3*(10*a^2*d^2 + b^2*c^2 + 10*a*b*c*d)*(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) + (d^3*x^m*x^6*(a^2*d^2 + 10*b^2*c^2 + 10*a*b*c*d)*(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) + (a^2*c^5*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) + (a*c^4*x^m*x^2*(5*a*d + 2*b*c)*(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*d^4*x^m*x^7*(2*a*d + 5*b*c)*(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) + (5*c*d^2*x^m*x^5*(a^2*d^2 + 2*b^2*c^2 + 4*a*b*c*d)*(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) + (5*c^2*d*x^m*x^4*(2*a^2*d^2 + b^2*c^2 + 4*a*b*c*d)*(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)","B"
379,0,-1,127,0.000000,"\text{Not used}","int((x^m*(c + d*x)^3)/(a + b*x),x)","\int \frac{x^m\,{\left(c+d\,x\right)}^3}{a+b\,x} \,d x","Not used",1,"int((x^m*(c + d*x)^3)/(a + b*x), x)","F"
380,0,-1,99,0.000000,"\text{Not used}","int((x^m*(c + d*x)^2)/(a + b*x),x)","\int \frac{x^m\,{\left(c+d\,x\right)}^2}{a+b\,x} \,d x","Not used",1,"int((x^m*(c + d*x)^2)/(a + b*x), x)","F"
381,0,-1,56,0.000000,"\text{Not used}","int((x^m*(c + d*x))/(a + b*x),x)","\int \frac{x^m\,\left(c+d\,x\right)}{a+b\,x} \,d x","Not used",1,"int((x^m*(c + d*x))/(a + b*x), x)","F"
382,0,-1,82,0.000000,"\text{Not used}","int(x^m/((a + b*x)*(c + d*x)),x)","\int \frac{x^m}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int(x^m/((a + b*x)*(c + d*x)), x)","F"
383,0,-1,125,0.000000,"\text{Not used}","int(x^m/((a + b*x)*(c + d*x)^2),x)","\int \frac{x^m}{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int(x^m/((a + b*x)*(c + d*x)^2), x)","F"
384,0,-1,206,0.000000,"\text{Not used}","int(x^m/((a + b*x)*(c + d*x)^3),x)","\int \frac{x^m}{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int(x^m/((a + b*x)*(c + d*x)^3), x)","F"
385,0,-1,36,0.000000,"\text{Not used}","int((b^2*x^m)/(b + a*x^2)^2,x)","\int \frac{b^2\,x^m}{{\left(a\,x^2+b\right)}^2} \,d x","Not used",1,"int((b^2*x^m)/(b + a*x^2)^2, x)","F"
386,0,-1,36,0.000000,"\text{Not used}","int(x^m/(((a^(1/2)*x)/(-b)^(1/2) - 1)^2*((a^(1/2)*x)/(-b)^(1/2) + 1)^2),x)","\int \frac{x^m}{{\left(\frac{\sqrt{a}\,x}{\sqrt{-b}}-1\right)}^2\,{\left(\frac{\sqrt{a}\,x}{\sqrt{-b}}+1\right)}^2} \,d x","Not used",1,"int(x^m/(((a^(1/2)*x)/(-b)^(1/2) - 1)^2*((a^(1/2)*x)/(-b)^(1/2) + 1)^2), x)","F"
387,1,137,151,0.075064,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^(1/2),x)","\frac{\left(20\,B\,a^2-8\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^6}+\frac{2\,B\,{\left(a+b\,x\right)}^{13/2}}{13\,b^6}+\frac{\left(2\,A\,b-10\,B\,a\right)\,{\left(a+b\,x\right)}^{11/2}}{11\,b^6}-\frac{\left(2\,B\,a^5-2\,A\,a^4\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^6}+\frac{\left(10\,B\,a^4-8\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^6}-\frac{\left(20\,B\,a^3-12\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^6}","Not used",1,"((20*B*a^2 - 8*A*a*b)*(a + b*x)^(9/2))/(9*b^6) + (2*B*(a + b*x)^(13/2))/(13*b^6) + ((2*A*b - 10*B*a)*(a + b*x)^(11/2))/(11*b^6) - ((2*B*a^5 - 2*A*a^4*b)*(a + b*x)^(3/2))/(3*b^6) + ((10*B*a^4 - 8*A*a^3*b)*(a + b*x)^(5/2))/(5*b^6) - ((20*B*a^3 - 12*A*a^2*b)*(a + b*x)^(7/2))/(7*b^6)","B"
388,1,111,122,0.050567,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^(1/2),x)","\frac{\left(12\,B\,a^2-6\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}+\frac{2\,B\,{\left(a+b\,x\right)}^{11/2}}{11\,b^5}+\frac{\left(2\,A\,b-8\,B\,a\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^5}+\frac{\left(2\,B\,a^4-2\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^5}-\frac{\left(8\,B\,a^3-6\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}","Not used",1,"((12*B*a^2 - 6*A*a*b)*(a + b*x)^(7/2))/(7*b^5) + (2*B*(a + b*x)^(11/2))/(11*b^5) + ((2*A*b - 8*B*a)*(a + b*x)^(9/2))/(9*b^5) + ((2*B*a^4 - 2*A*a^3*b)*(a + b*x)^(3/2))/(3*b^5) - ((8*B*a^3 - 6*A*a^2*b)*(a + b*x)^(5/2))/(5*b^5)","B"
389,1,85,95,0.073799,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^(1/2),x)","\frac{\left(6\,B\,a^2-4\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}+\frac{2\,B\,{\left(a+b\,x\right)}^{9/2}}{9\,b^4}+\frac{\left(2\,A\,b-6\,B\,a\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}-\frac{\left(2\,B\,a^3-2\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^4}","Not used",1,"((6*B*a^2 - 4*A*a*b)*(a + b*x)^(5/2))/(5*b^4) + (2*B*(a + b*x)^(9/2))/(9*b^4) + ((2*A*b - 6*B*a)*(a + b*x)^(7/2))/(7*b^4) - ((2*B*a^3 - 2*A*a^2*b)*(a + b*x)^(3/2))/(3*b^4)","B"
390,1,52,67,0.069268,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^(1/2),x)","\frac{2\,{\left(a+b\,x\right)}^{3/2}\,\left(35\,B\,a^2+15\,B\,{\left(a+b\,x\right)}^2-35\,A\,a\,b+21\,A\,b\,\left(a+b\,x\right)-42\,B\,a\,\left(a+b\,x\right)\right)}{105\,b^3}","Not used",1,"(2*(a + b*x)^(3/2)*(35*B*a^2 + 15*B*(a + b*x)^2 - 35*A*a*b + 21*A*b*(a + b*x) - 42*B*a*(a + b*x)))/(105*b^3)","B"
391,1,29,42,0.047631,"\text{Not used}","int((A + B*x)*(a + b*x)^(1/2),x)","\frac{2\,{\left(a+b\,x\right)}^{3/2}\,\left(5\,A\,b-5\,B\,a+3\,B\,\left(a+b\,x\right)\right)}{15\,b^2}","Not used",1,"(2*(a + b*x)^(3/2)*(5*A*b - 5*B*a + 3*B*(a + b*x)))/(15*b^2)","B"
392,1,45,54,0.073813,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x,x)","2\,A\,\sqrt{a+b\,x}+\frac{2\,B\,{\left(a+b\,x\right)}^{3/2}}{3\,b}+A\,\sqrt{a}\,\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)^(1/2) + A*a^(1/2)*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i + (2*B*(a + b*x)^(3/2))/(3*b)","B"
393,1,49,71,0.410396,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^2,x)","2\,B\,\sqrt{a+b\,x}-\frac{\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b+2\,B\,a\right)}{\sqrt{a}}-\frac{A\,\sqrt{a+b\,x}}{x}","Not used",1,"2*B*(a + b*x)^(1/2) - (atanh((a + b*x)^(1/2)/a^(1/2))*(A*b + 2*B*a))/a^(1/2) - (A*(a + b*x)^(1/2))/x","B"
394,1,94,82,0.121380,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^3,x)","\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-4\,B\,a\right)}{4\,a^{3/2}}-\frac{\left(\frac{A\,b^2}{4}-B\,a\,b\right)\,\sqrt{a+b\,x}+\frac{\left(A\,b^2+4\,B\,a\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{4\,a}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}","Not used",1,"(b*atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 4*B*a))/(4*a^(3/2)) - (((A*b^2)/4 - B*a*b)*(a + b*x)^(1/2) + ((A*b^2 + 4*B*a*b)*(a + b*x)^(3/2))/(4*a))/((a + b*x)^2 - 2*a*(a + b*x) + a^2)","B"
395,1,129,112,0.438137,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^4,x)","\frac{\left(\frac{A\,b^3}{8}-\frac{B\,a\,b^2}{4}\right)\,\sqrt{a+b\,x}-\frac{\left(A\,b^3-2\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^{5/2}}{8\,a^2}+\frac{A\,b^3\,{\left(a+b\,x\right)}^{3/2}}{3\,a}}{3\,a\,{\left(a+b\,x\right)}^2-3\,a^2\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^3+a^3}-\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-2\,B\,a\right)}{8\,a^{5/2}}","Not used",1,"(((A*b^3)/8 - (B*a*b^2)/4)*(a + b*x)^(1/2) - ((A*b^3 - 2*B*a*b^2)*(a + b*x)^(5/2))/(8*a^2) + (A*b^3*(a + b*x)^(3/2))/(3*a))/(3*a*(a + b*x)^2 - 3*a^2*(a + b*x) - (a + b*x)^3 + a^3) - (b^2*atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 2*B*a))/(8*a^(5/2))","B"
396,1,178,146,0.439130,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^5,x)","\frac{b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(5\,A\,b-8\,B\,a\right)}{64\,a^{7/2}}-\frac{\left(\frac{5\,A\,b^4}{64}-\frac{B\,a\,b^3}{8}\right)\,\sqrt{a+b\,x}-\frac{11\,\left(5\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{5/2}}{192\,a^2}+\frac{\left(5\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{7/2}}{64\,a^3}+\frac{\left(73\,A\,b^4-40\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{3/2}}{192\,a}}{{\left(a+b\,x\right)}^4-4\,a^3\,\left(a+b\,x\right)-4\,a\,{\left(a+b\,x\right)}^3+6\,a^2\,{\left(a+b\,x\right)}^2+a^4}","Not used",1,"(b^3*atanh((a + b*x)^(1/2)/a^(1/2))*(5*A*b - 8*B*a))/(64*a^(7/2)) - (((5*A*b^4)/64 - (B*a*b^3)/8)*(a + b*x)^(1/2) - (11*(5*A*b^4 - 8*B*a*b^3)*(a + b*x)^(5/2))/(192*a^2) + ((5*A*b^4 - 8*B*a*b^3)*(a + b*x)^(7/2))/(64*a^3) + ((73*A*b^4 - 40*B*a*b^3)*(a + b*x)^(3/2))/(192*a))/((a + b*x)^4 - 4*a^3*(a + b*x) - 4*a*(a + b*x)^3 + 6*a^2*(a + b*x)^2 + a^4)","B"
397,1,217,177,0.451682,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^6,x)","\frac{\left(\frac{7\,A\,b^5}{128}-\frac{5\,B\,a\,b^4}{64}\right)\,\sqrt{a+b\,x}-\frac{\left(7\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{5/2}}{15\,a^2}+\frac{7\,\left(7\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{7/2}}{192\,a^3}-\frac{\left(7\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{9/2}}{128\,a^4}+\frac{\left(79\,A\,b^5-58\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{3/2}}{192\,a}}{5\,a\,{\left(a+b\,x\right)}^4-5\,a^4\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^5-10\,a^2\,{\left(a+b\,x\right)}^3+10\,a^3\,{\left(a+b\,x\right)}^2+a^5}-\frac{b^4\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(7\,A\,b-10\,B\,a\right)}{128\,a^{9/2}}","Not used",1,"(((7*A*b^5)/128 - (5*B*a*b^4)/64)*(a + b*x)^(1/2) - ((7*A*b^5 - 10*B*a*b^4)*(a + b*x)^(5/2))/(15*a^2) + (7*(7*A*b^5 - 10*B*a*b^4)*(a + b*x)^(7/2))/(192*a^3) - ((7*A*b^5 - 10*B*a*b^4)*(a + b*x)^(9/2))/(128*a^4) + ((79*A*b^5 - 58*B*a*b^4)*(a + b*x)^(3/2))/(192*a))/(5*a*(a + b*x)^4 - 5*a^4*(a + b*x) - (a + b*x)^5 - 10*a^2*(a + b*x)^3 + 10*a^3*(a + b*x)^2 + a^5) - (b^4*atanh((a + b*x)^(1/2)/a^(1/2))*(7*A*b - 10*B*a))/(128*a^(9/2))","B"
398,1,137,151,0.060403,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^(3/2),x)","\frac{\left(20\,B\,a^2-8\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{11/2}}{11\,b^6}+\frac{2\,B\,{\left(a+b\,x\right)}^{15/2}}{15\,b^6}+\frac{\left(2\,A\,b-10\,B\,a\right)\,{\left(a+b\,x\right)}^{13/2}}{13\,b^6}-\frac{\left(2\,B\,a^5-2\,A\,a^4\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^6}+\frac{\left(10\,B\,a^4-8\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^6}-\frac{\left(20\,B\,a^3-12\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^6}","Not used",1,"((20*B*a^2 - 8*A*a*b)*(a + b*x)^(11/2))/(11*b^6) + (2*B*(a + b*x)^(15/2))/(15*b^6) + ((2*A*b - 10*B*a)*(a + b*x)^(13/2))/(13*b^6) - ((2*B*a^5 - 2*A*a^4*b)*(a + b*x)^(5/2))/(5*b^6) + ((10*B*a^4 - 8*A*a^3*b)*(a + b*x)^(7/2))/(7*b^6) - ((20*B*a^3 - 12*A*a^2*b)*(a + b*x)^(9/2))/(9*b^6)","B"
399,1,111,122,0.360091,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^(3/2),x)","\frac{\left(12\,B\,a^2-6\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^5}+\frac{2\,B\,{\left(a+b\,x\right)}^{13/2}}{13\,b^5}+\frac{\left(2\,A\,b-8\,B\,a\right)\,{\left(a+b\,x\right)}^{11/2}}{11\,b^5}+\frac{\left(2\,B\,a^4-2\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}-\frac{\left(8\,B\,a^3-6\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}","Not used",1,"((12*B*a^2 - 6*A*a*b)*(a + b*x)^(9/2))/(9*b^5) + (2*B*(a + b*x)^(13/2))/(13*b^5) + ((2*A*b - 8*B*a)*(a + b*x)^(11/2))/(11*b^5) + ((2*B*a^4 - 2*A*a^3*b)*(a + b*x)^(5/2))/(5*b^5) - ((8*B*a^3 - 6*A*a^2*b)*(a + b*x)^(7/2))/(7*b^5)","B"
400,1,85,95,0.065473,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^(3/2),x)","\frac{\left(6\,B\,a^2-4\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}+\frac{2\,B\,{\left(a+b\,x\right)}^{11/2}}{11\,b^4}+\frac{\left(2\,A\,b-6\,B\,a\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^4}-\frac{\left(2\,B\,a^3-2\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}","Not used",1,"((6*B*a^2 - 4*A*a*b)*(a + b*x)^(7/2))/(7*b^4) + (2*B*(a + b*x)^(11/2))/(11*b^4) + ((2*A*b - 6*B*a)*(a + b*x)^(9/2))/(9*b^4) - ((2*B*a^3 - 2*A*a^2*b)*(a + b*x)^(5/2))/(5*b^4)","B"
401,1,52,67,0.057911,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^(3/2),x)","\frac{2\,{\left(a+b\,x\right)}^{5/2}\,\left(63\,B\,a^2+35\,B\,{\left(a+b\,x\right)}^2-63\,A\,a\,b+45\,A\,b\,\left(a+b\,x\right)-90\,B\,a\,\left(a+b\,x\right)\right)}{315\,b^3}","Not used",1,"(2*(a + b*x)^(5/2)*(63*B*a^2 + 35*B*(a + b*x)^2 - 63*A*a*b + 45*A*b*(a + b*x) - 90*B*a*(a + b*x)))/(315*b^3)","B"
402,1,29,42,0.039933,"\text{Not used}","int((A + B*x)*(a + b*x)^(3/2),x)","\frac{2\,{\left(a+b\,x\right)}^{5/2}\,\left(7\,A\,b-7\,B\,a+5\,B\,\left(a+b\,x\right)\right)}{35\,b^2}","Not used",1,"(2*(a + b*x)^(5/2)*(7*A*b - 7*B*a + 5*B*(a + b*x)))/(35*b^2)","B"
403,1,95,69,0.385498,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x,x)","\left(\frac{2\,A\,b-2\,B\,a}{3\,b}+\frac{2\,B\,a}{3\,b}\right)\,{\left(a+b\,x\right)}^{3/2}+\frac{2\,B\,{\left(a+b\,x\right)}^{5/2}}{5\,b}+a\,\left(\frac{2\,A\,b-2\,B\,a}{b}+\frac{2\,B\,a}{b}\right)\,\sqrt{a+b\,x}+A\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"((2*A*b - 2*B*a)/(3*b) + (2*B*a)/(3*b))*(a + b*x)^(3/2) + A*a^(3/2)*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i + (2*B*(a + b*x)^(5/2))/(5*b) + a*((2*A*b - 2*B*a)/b + (2*B*a)/b)*(a + b*x)^(1/2)","B"
404,1,96,95,0.396553,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^2,x)","\left(2\,A\,b+2\,B\,a\right)\,\sqrt{a+b\,x}+\frac{2\,B\,{\left(a+b\,x\right)}^{3/2}}{3}+2\,\mathrm{atan}\left(\frac{2\,\left(3\,A\,b+2\,B\,a\right)\,\sqrt{-\frac{a}{4}}\,\sqrt{a+b\,x}}{2\,B\,a^2+3\,A\,b\,a}\right)\,\left(3\,A\,b+2\,B\,a\right)\,\sqrt{-\frac{a}{4}}-\frac{A\,a\,\sqrt{a+b\,x}}{x}","Not used",1,"(2*A*b + 2*B*a)*(a + b*x)^(1/2) + (2*B*(a + b*x)^(3/2))/3 + 2*atan((2*(3*A*b + 2*B*a)*(-a/4)^(1/2)*(a + b*x)^(1/2))/(2*B*a^2 + 3*A*a*b))*(3*A*b + 2*B*a)*(-a/4)^(1/2) - (A*a*(a + b*x)^(1/2))/x","B"
405,1,127,107,0.115293,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^3,x)","\frac{\left(B\,a^2\,b+\frac{3\,A\,a\,b^2}{4}\right)\,\sqrt{a+b\,x}-\left(\frac{5\,A\,b^2}{4}+B\,a\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}+2\,B\,b\,\sqrt{a+b\,x}-\frac{3\,b\,\mathrm{atanh}\left(\frac{3\,b\,\left(A\,b+4\,B\,a\right)\,\sqrt{a+b\,x}}{2\,\sqrt{a}\,\left(\frac{3\,A\,b^2}{2}+6\,B\,a\,b\right)}\right)\,\left(A\,b+4\,B\,a\right)}{4\,\sqrt{a}}","Not used",1,"(((3*A*a*b^2)/4 + B*a^2*b)*(a + b*x)^(1/2) - ((5*A*b^2)/4 + B*a*b)*(a + b*x)^(3/2))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) + 2*B*b*(a + b*x)^(1/2) - (3*b*atanh((3*b*(A*b + 4*B*a)*(a + b*x)^(1/2))/(2*a^(1/2)*((3*A*b^2)/2 + 6*B*a*b)))*(A*b + 4*B*a))/(4*a^(1/2))","B"
406,1,138,112,0.436337,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^4,x)","\frac{\left(\frac{A\,b^3}{3}-2\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^{3/2}+\left(\frac{3\,B\,a^2\,b^2}{4}-\frac{A\,a\,b^3}{8}\right)\,\sqrt{a+b\,x}+\frac{\left(A\,b^3+10\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^{5/2}}{8\,a}}{3\,a\,{\left(a+b\,x\right)}^2-3\,a^2\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^3+a^3}+\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-6\,B\,a\right)}{8\,a^{3/2}}","Not used",1,"(((A*b^3)/3 - 2*B*a*b^2)*(a + b*x)^(3/2) + ((3*B*a^2*b^2)/4 - (A*a*b^3)/8)*(a + b*x)^(1/2) + ((A*b^3 + 10*B*a*b^2)*(a + b*x)^(5/2))/(8*a))/(3*a*(a + b*x)^2 - 3*a^2*(a + b*x) - (a + b*x)^3 + a^3) + (b^2*atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 6*B*a))/(8*a^(3/2))","B"
407,1,177,146,0.444039,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^5,x)","-\frac{\left(\frac{11\,A\,b^4}{64}-\frac{11\,B\,a\,b^3}{24}\right)\,{\left(a+b\,x\right)}^{3/2}+\left(\frac{B\,a^2\,b^3}{8}-\frac{3\,A\,a\,b^4}{64}\right)\,\sqrt{a+b\,x}-\frac{\left(3\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{7/2}}{64\,a^2}+\frac{\left(33\,A\,b^4+40\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{5/2}}{192\,a}}{{\left(a+b\,x\right)}^4-4\,a^3\,\left(a+b\,x\right)-4\,a\,{\left(a+b\,x\right)}^3+6\,a^2\,{\left(a+b\,x\right)}^2+a^4}-\frac{b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(3\,A\,b-8\,B\,a\right)}{64\,a^{5/2}}","Not used",1,"- (((11*A*b^4)/64 - (11*B*a*b^3)/24)*(a + b*x)^(3/2) + ((B*a^2*b^3)/8 - (3*A*a*b^4)/64)*(a + b*x)^(1/2) - ((3*A*b^4 - 8*B*a*b^3)*(a + b*x)^(7/2))/(64*a^2) + ((33*A*b^4 + 40*B*a*b^3)*(a + b*x)^(5/2))/(192*a))/((a + b*x)^4 - 4*a^3*(a + b*x) - 4*a*(a + b*x)^3 + 6*a^2*(a + b*x)^2 + a^4) - (b^3*atanh((a + b*x)^(1/2)/a^(1/2))*(3*A*b - 8*B*a))/(64*a^(5/2))","B"
408,1,203,172,0.435599,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^6,x)","\frac{\left(\frac{7\,A\,b^5}{64}-\frac{7\,B\,a\,b^4}{32}\right)\,{\left(a+b\,x\right)}^{3/2}+\left(\frac{3\,B\,a^2\,b^4}{64}-\frac{3\,A\,a\,b^5}{128}\right)\,\sqrt{a+b\,x}-\frac{7\,\left(A\,b^5-2\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{7/2}}{64\,a^2}+\frac{3\,\left(A\,b^5-2\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{9/2}}{128\,a^3}+\frac{A\,b^5\,{\left(a+b\,x\right)}^{5/2}}{5\,a}}{5\,a\,{\left(a+b\,x\right)}^4-5\,a^4\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^5-10\,a^2\,{\left(a+b\,x\right)}^3+10\,a^3\,{\left(a+b\,x\right)}^2+a^5}+\frac{3\,b^4\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-2\,B\,a\right)}{128\,a^{7/2}}","Not used",1,"(((7*A*b^5)/64 - (7*B*a*b^4)/32)*(a + b*x)^(3/2) + ((3*B*a^2*b^4)/64 - (3*A*a*b^5)/128)*(a + b*x)^(1/2) - (7*(A*b^5 - 2*B*a*b^4)*(a + b*x)^(7/2))/(64*a^2) + (3*(A*b^5 - 2*B*a*b^4)*(a + b*x)^(9/2))/(128*a^3) + (A*b^5*(a + b*x)^(5/2))/(5*a))/(5*a*(a + b*x)^4 - 5*a^4*(a + b*x) - (a + b*x)^5 - 10*a^2*(a + b*x)^3 + 10*a^3*(a + b*x)^2 + a^5) + (3*b^4*atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 2*B*a))/(128*a^(7/2))","B"
409,1,253,208,0.157873,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^7,x)","-\frac{\left(\frac{119\,A\,b^6}{1536}-\frac{17\,B\,a\,b^5}{128}\right)\,{\left(a+b\,x\right)}^{3/2}+\left(\frac{3\,B\,a^2\,b^5}{128}-\frac{7\,A\,a\,b^6}{512}\right)\,\sqrt{a+b\,x}-\frac{33\,\left(7\,A\,b^6-12\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{7/2}}{1280\,a^2}+\frac{17\,\left(7\,A\,b^6-12\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{9/2}}{1536\,a^3}-\frac{\left(7\,A\,b^6-12\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{11/2}}{512\,a^4}+\frac{\left(281\,A\,b^6-116\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{5/2}}{1280\,a}}{{\left(a+b\,x\right)}^6-6\,a^5\,\left(a+b\,x\right)-6\,a\,{\left(a+b\,x\right)}^5+15\,a^2\,{\left(a+b\,x\right)}^4-20\,a^3\,{\left(a+b\,x\right)}^3+15\,a^4\,{\left(a+b\,x\right)}^2+a^6}-\frac{b^5\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(7\,A\,b-12\,B\,a\right)}{512\,a^{9/2}}","Not used",1,"- (((119*A*b^6)/1536 - (17*B*a*b^5)/128)*(a + b*x)^(3/2) + ((3*B*a^2*b^5)/128 - (7*A*a*b^6)/512)*(a + b*x)^(1/2) - (33*(7*A*b^6 - 12*B*a*b^5)*(a + b*x)^(7/2))/(1280*a^2) + (17*(7*A*b^6 - 12*B*a*b^5)*(a + b*x)^(9/2))/(1536*a^3) - ((7*A*b^6 - 12*B*a*b^5)*(a + b*x)^(11/2))/(512*a^4) + ((281*A*b^6 - 116*B*a*b^5)*(a + b*x)^(5/2))/(1280*a))/((a + b*x)^6 - 6*a^5*(a + b*x) - 6*a*(a + b*x)^5 + 15*a^2*(a + b*x)^4 - 20*a^3*(a + b*x)^3 + 15*a^4*(a + b*x)^2 + a^6) - (b^5*atanh((a + b*x)^(1/2)/a^(1/2))*(7*A*b - 12*B*a))/(512*a^(9/2))","B"
410,1,137,151,0.371163,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x)^(5/2),x)","\frac{\left(20\,B\,a^2-8\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{13/2}}{13\,b^6}+\frac{2\,B\,{\left(a+b\,x\right)}^{17/2}}{17\,b^6}+\frac{\left(2\,A\,b-10\,B\,a\right)\,{\left(a+b\,x\right)}^{15/2}}{15\,b^6}-\frac{\left(2\,B\,a^5-2\,A\,a^4\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^6}+\frac{\left(10\,B\,a^4-8\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^6}-\frac{\left(20\,B\,a^3-12\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{11/2}}{11\,b^6}","Not used",1,"((20*B*a^2 - 8*A*a*b)*(a + b*x)^(13/2))/(13*b^6) + (2*B*(a + b*x)^(17/2))/(17*b^6) + ((2*A*b - 10*B*a)*(a + b*x)^(15/2))/(15*b^6) - ((2*B*a^5 - 2*A*a^4*b)*(a + b*x)^(7/2))/(7*b^6) + ((10*B*a^4 - 8*A*a^3*b)*(a + b*x)^(9/2))/(9*b^6) - ((20*B*a^3 - 12*A*a^2*b)*(a + b*x)^(11/2))/(11*b^6)","B"
411,1,111,122,0.051130,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x)^(5/2),x)","\frac{\left(12\,B\,a^2-6\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{11/2}}{11\,b^5}+\frac{2\,B\,{\left(a+b\,x\right)}^{15/2}}{15\,b^5}+\frac{\left(2\,A\,b-8\,B\,a\right)\,{\left(a+b\,x\right)}^{13/2}}{13\,b^5}+\frac{\left(2\,B\,a^4-2\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}-\frac{\left(8\,B\,a^3-6\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^5}","Not used",1,"((12*B*a^2 - 6*A*a*b)*(a + b*x)^(11/2))/(11*b^5) + (2*B*(a + b*x)^(15/2))/(15*b^5) + ((2*A*b - 8*B*a)*(a + b*x)^(13/2))/(13*b^5) + ((2*B*a^4 - 2*A*a^3*b)*(a + b*x)^(7/2))/(7*b^5) - ((8*B*a^3 - 6*A*a^2*b)*(a + b*x)^(9/2))/(9*b^5)","B"
412,1,85,95,0.071533,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x)^(5/2),x)","\frac{\left(6\,B\,a^2-4\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^4}+\frac{2\,B\,{\left(a+b\,x\right)}^{13/2}}{13\,b^4}+\frac{\left(2\,A\,b-6\,B\,a\right)\,{\left(a+b\,x\right)}^{11/2}}{11\,b^4}-\frac{\left(2\,B\,a^3-2\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}","Not used",1,"((6*B*a^2 - 4*A*a*b)*(a + b*x)^(9/2))/(9*b^4) + (2*B*(a + b*x)^(13/2))/(13*b^4) + ((2*A*b - 6*B*a)*(a + b*x)^(11/2))/(11*b^4) - ((2*B*a^3 - 2*A*a^2*b)*(a + b*x)^(7/2))/(7*b^4)","B"
413,1,52,67,0.382371,"\text{Not used}","int(x*(A + B*x)*(a + b*x)^(5/2),x)","\frac{2\,{\left(a+b\,x\right)}^{7/2}\,\left(99\,B\,a^2+63\,B\,{\left(a+b\,x\right)}^2-99\,A\,a\,b+77\,A\,b\,\left(a+b\,x\right)-154\,B\,a\,\left(a+b\,x\right)\right)}{693\,b^3}","Not used",1,"(2*(a + b*x)^(7/2)*(99*B*a^2 + 63*B*(a + b*x)^2 - 99*A*a*b + 77*A*b*(a + b*x) - 154*B*a*(a + b*x)))/(693*b^3)","B"
414,1,29,42,0.043701,"\text{Not used}","int((A + B*x)*(a + b*x)^(5/2),x)","\frac{2\,{\left(a+b\,x\right)}^{7/2}\,\left(9\,A\,b-9\,B\,a+7\,B\,\left(a+b\,x\right)\right)}{63\,b^2}","Not used",1,"(2*(a + b*x)^(7/2)*(9*A*b - 9*B*a + 7*B*(a + b*x)))/(63*b^2)","B"
415,1,128,86,0.055056,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x,x)","\left(\frac{2\,A\,b-2\,B\,a}{5\,b}+\frac{2\,B\,a}{5\,b}\right)\,{\left(a+b\,x\right)}^{5/2}+a^2\,\left(\frac{2\,A\,b-2\,B\,a}{b}+\frac{2\,B\,a}{b}\right)\,\sqrt{a+b\,x}+\frac{2\,B\,{\left(a+b\,x\right)}^{7/2}}{7\,b}+\frac{a\,\left(\frac{2\,A\,b-2\,B\,a}{b}+\frac{2\,B\,a}{b}\right)\,{\left(a+b\,x\right)}^{3/2}}{3}+A\,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*b - 2*B*a)/(5*b) + (2*B*a)/(5*b))*(a + b*x)^(5/2) + a^2*((2*A*b - 2*B*a)/b + (2*B*a)/b)*(a + b*x)^(1/2) + A*a^(5/2)*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i + (2*B*(a + b*x)^(7/2))/(7*b) + (a*((2*A*b - 2*B*a)/b + (2*B*a)/b)*(a + b*x)^(3/2))/3","B"
416,1,100,118,0.106434,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^2,x)","\left(\frac{2\,A\,b}{3}+\frac{2\,B\,a}{3}\right)\,{\left(a+b\,x\right)}^{3/2}+\left(2\,a\,\left(2\,A\,b+2\,B\,a\right)-2\,B\,a^2\right)\,\sqrt{a+b\,x}+\frac{2\,B\,{\left(a+b\,x\right)}^{5/2}}{5}-\frac{A\,a^2\,\sqrt{a+b\,x}}{x}+a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\left(5\,A\,b+2\,B\,a\right)\,1{}\mathrm{i}","Not used",1,"((2*A*b)/3 + (2*B*a)/3)*(a + b*x)^(3/2) + (2*a*(2*A*b + 2*B*a) - 2*B*a^2)*(a + b*x)^(1/2) + (2*B*(a + b*x)^(5/2))/5 + a^(3/2)*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*(5*A*b + 2*B*a)*1i - (A*a^2*(a + b*x)^(1/2))/x","B"
417,1,162,133,0.423745,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^3,x)","\left(2\,A\,b^2+4\,B\,a\,b\right)\,\sqrt{a+b\,x}-\frac{\left(B\,a^2\,b+\frac{9\,A\,a\,b^2}{4}\right)\,{\left(a+b\,x\right)}^{3/2}-\left(B\,a^3\,b+\frac{7\,A\,a^2\,b^2}{4}\right)\,\sqrt{a+b\,x}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}+\frac{2\,B\,b\,{\left(a+b\,x\right)}^{3/2}}{3}+2\,b\,\mathrm{atan}\left(\frac{2\,b\,\left(3\,A\,b+4\,B\,a\right)\,\sqrt{-\frac{25\,a}{64}}\,\sqrt{a+b\,x}}{5\,B\,a^2\,b+\frac{15\,A\,a\,b^2}{4}}\right)\,\left(3\,A\,b+4\,B\,a\right)\,\sqrt{-\frac{25\,a}{64}}","Not used",1,"(2*A*b^2 + 4*B*a*b)*(a + b*x)^(1/2) - (((9*A*a*b^2)/4 + B*a^2*b)*(a + b*x)^(3/2) - ((7*A*a^2*b^2)/4 + B*a^3*b)*(a + b*x)^(1/2))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) + (2*B*b*(a + b*x)^(3/2))/3 + 2*b*atan((2*b*(3*A*b + 4*B*a)*(-(25*a)/64)^(1/2)*(a + b*x)^(1/2))/((15*A*a*b^2)/4 + 5*B*a^2*b))*(3*A*b + 4*B*a)*(-(25*a)/64)^(1/2)","B"
418,1,182,139,0.437564,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^4,x)","\frac{\left(\frac{11\,A\,b^3}{8}+\frac{9\,B\,a\,b^2}{4}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(\frac{7\,B\,a^3\,b^2}{4}+\frac{5\,A\,a^2\,b^3}{8}\right)\,\sqrt{a+b\,x}-\left(4\,B\,a^2\,b^2+\frac{5\,A\,a\,b^3}{3}\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,a\,{\left(a+b\,x\right)}^2-3\,a^2\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^3+a^3}+2\,B\,b^2\,\sqrt{a+b\,x}-\frac{5\,b^2\,\mathrm{atanh}\left(\frac{5\,b^2\,\left(A\,b+6\,B\,a\right)\,\sqrt{a+b\,x}}{4\,\sqrt{a}\,\left(\frac{5\,A\,b^3}{4}+\frac{15\,B\,a\,b^2}{2}\right)}\right)\,\left(A\,b+6\,B\,a\right)}{8\,\sqrt{a}}","Not used",1,"(((11*A*b^3)/8 + (9*B*a*b^2)/4)*(a + b*x)^(5/2) + ((5*A*a^2*b^3)/8 + (7*B*a^3*b^2)/4)*(a + b*x)^(1/2) - (4*B*a^2*b^2 + (5*A*a*b^3)/3)*(a + b*x)^(3/2))/(3*a*(a + b*x)^2 - 3*a^2*(a + b*x) - (a + b*x)^3 + a^3) + 2*B*b^2*(a + b*x)^(1/2) - (5*b^2*atanh((5*b^2*(A*b + 6*B*a)*(a + b*x)^(1/2))/(4*a^(1/2)*((5*A*b^3)/4 + (15*B*a*b^2)/2)))*(A*b + 6*B*a))/(8*a^(1/2))","B"
419,1,177,142,0.445020,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^5,x)","\frac{5\,b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-8\,B\,a\right)}{64\,a^{3/2}}-\frac{\left(\frac{73\,A\,b^4}{192}-\frac{73\,B\,a\,b^3}{24}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(\frac{5\,A\,a^2\,b^4}{64}-\frac{5\,B\,a^3\,b^3}{8}\right)\,\sqrt{a+b\,x}+\left(\frac{55\,B\,a^2\,b^3}{24}-\frac{55\,A\,a\,b^4}{192}\right)\,{\left(a+b\,x\right)}^{3/2}+\frac{\left(5\,A\,b^4+88\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{7/2}}{64\,a}}{{\left(a+b\,x\right)}^4-4\,a^3\,\left(a+b\,x\right)-4\,a\,{\left(a+b\,x\right)}^3+6\,a^2\,{\left(a+b\,x\right)}^2+a^4}","Not used",1,"(5*b^3*atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 8*B*a))/(64*a^(3/2)) - (((73*A*b^4)/192 - (73*B*a*b^3)/24)*(a + b*x)^(5/2) + ((5*A*a^2*b^4)/64 - (5*B*a^3*b^3)/8)*(a + b*x)^(1/2) + ((55*B*a^2*b^3)/24 - (55*A*a*b^4)/192)*(a + b*x)^(3/2) + ((5*A*b^4 + 88*B*a*b^3)*(a + b*x)^(7/2))/(64*a))/((a + b*x)^4 - 4*a^3*(a + b*x) - 4*a*(a + b*x)^3 + 6*a^2*(a + b*x)^2 + a^4)","B"
420,1,217,177,0.134697,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^6,x)","\frac{\left(\frac{A\,b^5}{5}-\frac{2\,B\,a\,b^4}{3}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(\frac{3\,A\,a^2\,b^5}{128}-\frac{5\,B\,a^3\,b^4}{64}\right)\,\sqrt{a+b\,x}+\left(\frac{35\,B\,a^2\,b^4}{96}-\frac{7\,A\,a\,b^5}{64}\right)\,{\left(a+b\,x\right)}^{3/2}-\frac{\left(3\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{9/2}}{128\,a^2}+\frac{\left(21\,A\,b^5+58\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{7/2}}{192\,a}}{5\,a\,{\left(a+b\,x\right)}^4-5\,a^4\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^5-10\,a^2\,{\left(a+b\,x\right)}^3+10\,a^3\,{\left(a+b\,x\right)}^2+a^5}-\frac{b^4\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(3\,A\,b-10\,B\,a\right)}{128\,a^{5/2}}","Not used",1,"(((A*b^5)/5 - (2*B*a*b^4)/3)*(a + b*x)^(5/2) + ((3*A*a^2*b^5)/128 - (5*B*a^3*b^4)/64)*(a + b*x)^(1/2) + ((35*B*a^2*b^4)/96 - (7*A*a*b^5)/64)*(a + b*x)^(3/2) - ((3*A*b^5 - 10*B*a*b^4)*(a + b*x)^(9/2))/(128*a^2) + ((21*A*b^5 + 58*B*a*b^4)*(a + b*x)^(7/2))/(192*a))/(5*a*(a + b*x)^4 - 5*a^4*(a + b*x) - (a + b*x)^5 - 10*a^2*(a + b*x)^3 + 10*a^3*(a + b*x)^2 + a^5) - (b^4*atanh((a + b*x)^(1/2)/a^(1/2))*(3*A*b - 10*B*a))/(128*a^(5/2))","B"
421,1,254,208,0.467645,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^7,x)","\frac{b^5\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(5\,A\,b-12\,B\,a\right)}{512\,a^{7/2}}-\frac{\left(\frac{33\,A\,b^6}{256}-\frac{99\,B\,a\,b^5}{320}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(\frac{5\,A\,a^2\,b^6}{512}-\frac{3\,B\,a^3\,b^5}{128}\right)\,\sqrt{a+b\,x}+\left(\frac{17\,B\,a^2\,b^5}{128}-\frac{85\,A\,a\,b^6}{1536}\right)\,{\left(a+b\,x\right)}^{3/2}-\frac{17\,\left(5\,A\,b^6-12\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{9/2}}{1536\,a^2}+\frac{\left(5\,A\,b^6-12\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{11/2}}{512\,a^3}+\frac{\left(165\,A\,b^6+116\,B\,a\,b^5\right)\,{\left(a+b\,x\right)}^{7/2}}{1280\,a}}{{\left(a+b\,x\right)}^6-6\,a^5\,\left(a+b\,x\right)-6\,a\,{\left(a+b\,x\right)}^5+15\,a^2\,{\left(a+b\,x\right)}^4-20\,a^3\,{\left(a+b\,x\right)}^3+15\,a^4\,{\left(a+b\,x\right)}^2+a^6}","Not used",1,"(b^5*atanh((a + b*x)^(1/2)/a^(1/2))*(5*A*b - 12*B*a))/(512*a^(7/2)) - (((33*A*b^6)/256 - (99*B*a*b^5)/320)*(a + b*x)^(5/2) + ((5*A*a^2*b^6)/512 - (3*B*a^3*b^5)/128)*(a + b*x)^(1/2) + ((17*B*a^2*b^5)/128 - (85*A*a*b^6)/1536)*(a + b*x)^(3/2) - (17*(5*A*b^6 - 12*B*a*b^5)*(a + b*x)^(9/2))/(1536*a^2) + ((5*A*b^6 - 12*B*a*b^5)*(a + b*x)^(11/2))/(512*a^3) + ((165*A*b^6 + 116*B*a*b^5)*(a + b*x)^(7/2))/(1280*a))/((a + b*x)^6 - 6*a^5*(a + b*x) - 6*a*(a + b*x)^5 + 15*a^2*(a + b*x)^4 - 20*a^3*(a + b*x)^3 + 15*a^4*(a + b*x)^2 + a^6)","B"
422,1,279,232,0.147563,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^8,x)","\frac{\left(\frac{283\,A\,b^7}{3072}-\frac{283\,B\,a\,b^6}{1536}\right)\,{\left(a+b\,x\right)}^{5/2}+\left(\frac{5\,A\,a^2\,b^7}{1024}-\frac{5\,B\,a^3\,b^6}{512}\right)\,\sqrt{a+b\,x}+\left(\frac{25\,B\,a^2\,b^6}{384}-\frac{25\,A\,a\,b^7}{768}\right)\,{\left(a+b\,x\right)}^{3/2}-\frac{283\,\left(A\,b^7-2\,B\,a\,b^6\right)\,{\left(a+b\,x\right)}^{9/2}}{3072\,a^2}+\frac{25\,\left(A\,b^7-2\,B\,a\,b^6\right)\,{\left(a+b\,x\right)}^{11/2}}{768\,a^3}-\frac{5\,\left(A\,b^7-2\,B\,a\,b^6\right)\,{\left(a+b\,x\right)}^{13/2}}{1024\,a^4}+\frac{A\,b^7\,{\left(a+b\,x\right)}^{7/2}}{7\,a}}{7\,a\,{\left(a+b\,x\right)}^6-7\,a^6\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^7-21\,a^2\,{\left(a+b\,x\right)}^5+35\,a^3\,{\left(a+b\,x\right)}^4-35\,a^4\,{\left(a+b\,x\right)}^3+21\,a^5\,{\left(a+b\,x\right)}^2+a^7}-\frac{5\,b^6\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-2\,B\,a\right)}{1024\,a^{9/2}}","Not used",1,"(((283*A*b^7)/3072 - (283*B*a*b^6)/1536)*(a + b*x)^(5/2) + ((5*A*a^2*b^7)/1024 - (5*B*a^3*b^6)/512)*(a + b*x)^(1/2) + ((25*B*a^2*b^6)/384 - (25*A*a*b^7)/768)*(a + b*x)^(3/2) - (283*(A*b^7 - 2*B*a*b^6)*(a + b*x)^(9/2))/(3072*a^2) + (25*(A*b^7 - 2*B*a*b^6)*(a + b*x)^(11/2))/(768*a^3) - (5*(A*b^7 - 2*B*a*b^6)*(a + b*x)^(13/2))/(1024*a^4) + (A*b^7*(a + b*x)^(7/2))/(7*a))/(7*a*(a + b*x)^6 - 7*a^6*(a + b*x) - (a + b*x)^7 - 21*a^2*(a + b*x)^5 + 35*a^3*(a + b*x)^4 - 35*a^4*(a + b*x)^3 + 21*a^5*(a + b*x)^2 + a^7) - (5*b^6*atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 2*B*a))/(1024*a^(9/2))","B"
423,1,137,149,0.060851,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x)^(1/2),x)","\frac{\left(20\,B\,a^2-8\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^6}+\frac{2\,B\,{\left(a+b\,x\right)}^{11/2}}{11\,b^6}+\frac{\left(2\,A\,b-10\,B\,a\right)\,{\left(a+b\,x\right)}^{9/2}}{9\,b^6}-\frac{\left(2\,B\,a^5-2\,A\,a^4\,b\right)\,\sqrt{a+b\,x}}{b^6}+\frac{\left(10\,B\,a^4-8\,A\,a^3\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^6}-\frac{\left(20\,B\,a^3-12\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^6}","Not used",1,"((20*B*a^2 - 8*A*a*b)*(a + b*x)^(7/2))/(7*b^6) + (2*B*(a + b*x)^(11/2))/(11*b^6) + ((2*A*b - 10*B*a)*(a + b*x)^(9/2))/(9*b^6) - ((2*B*a^5 - 2*A*a^4*b)*(a + b*x)^(1/2))/b^6 + ((10*B*a^4 - 8*A*a^3*b)*(a + b*x)^(3/2))/(3*b^6) - ((20*B*a^3 - 12*A*a^2*b)*(a + b*x)^(5/2))/(5*b^6)","B"
424,1,110,120,0.364409,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x)^(1/2),x)","\frac{\left(12\,B\,a^2-6\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}+\frac{2\,B\,{\left(a+b\,x\right)}^{9/2}}{9\,b^5}+\frac{\left(2\,A\,b-8\,B\,a\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}+\frac{\left(2\,B\,a^4-2\,A\,a^3\,b\right)\,\sqrt{a+b\,x}}{b^5}-\frac{\left(8\,B\,a^3-6\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^5}","Not used",1,"((12*B*a^2 - 6*A*a*b)*(a + b*x)^(5/2))/(5*b^5) + (2*B*(a + b*x)^(9/2))/(9*b^5) + ((2*A*b - 8*B*a)*(a + b*x)^(7/2))/(7*b^5) + ((2*B*a^4 - 2*A*a^3*b)*(a + b*x)^(1/2))/b^5 - ((8*B*a^3 - 6*A*a^2*b)*(a + b*x)^(3/2))/(3*b^5)","B"
425,1,85,93,0.068927,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x)^(1/2),x)","\frac{\left(6\,B\,a^2-4\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^4}+\frac{2\,B\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}+\frac{\left(2\,A\,b-6\,B\,a\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}-\frac{\left(2\,B\,a^3-2\,A\,a^2\,b\right)\,\sqrt{a+b\,x}}{b^4}","Not used",1,"((6*B*a^2 - 4*A*a*b)*(a + b*x)^(3/2))/(3*b^4) + (2*B*(a + b*x)^(7/2))/(7*b^4) + ((2*A*b - 6*B*a)*(a + b*x)^(5/2))/(5*b^4) - ((2*B*a^3 - 2*A*a^2*b)*(a + b*x)^(1/2))/b^4","B"
426,1,52,65,0.377565,"\text{Not used}","int((x*(A + B*x))/(a + b*x)^(1/2),x)","\frac{2\,\sqrt{a+b\,x}\,\left(15\,B\,a^2+3\,B\,{\left(a+b\,x\right)}^2-15\,A\,a\,b+5\,A\,b\,\left(a+b\,x\right)-10\,B\,a\,\left(a+b\,x\right)\right)}{15\,b^3}","Not used",1,"(2*(a + b*x)^(1/2)*(15*B*a^2 + 3*B*(a + b*x)^2 - 15*A*a*b + 5*A*b*(a + b*x) - 10*B*a*(a + b*x)))/(15*b^3)","B"
427,1,28,40,0.046004,"\text{Not used}","int((A + B*x)/(a + b*x)^(1/2),x)","\frac{2\,\sqrt{a+b\,x}\,\left(3\,A\,b-3\,B\,a+B\,\left(a+b\,x\right)\right)}{3\,b^2}","Not used",1,"(2*(a + b*x)^(1/2)*(3*A*b - 3*B*a + B*(a + b*x)))/(3*b^2)","B"
428,1,32,40,0.071779,"\text{Not used}","int((A + B*x)/(x*(a + b*x)^(1/2)),x)","\frac{2\,B\,\sqrt{a+b\,x}}{b}-\frac{2\,A\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"(2*B*(a + b*x)^(1/2))/b - (2*A*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(1/2)","B"
429,1,41,49,0.412948,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x)^(1/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(A\,b-2\,B\,a\right)}{a^{3/2}}-\frac{A\,\sqrt{a+b\,x}}{a\,x}","Not used",1,"(atanh((a + b*x)^(1/2)/a^(1/2))*(A*b - 2*B*a))/a^(3/2) - (A*(a + b*x)^(1/2))/(a*x)","B"
430,1,100,84,0.115060,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x)^(1/2)),x)","-\frac{\frac{\left(5\,A\,b^2-4\,B\,a\,b\right)\,\sqrt{a+b\,x}}{4\,a}-\frac{\left(3\,A\,b^2-4\,B\,a\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{4\,a^2}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(3\,A\,b-4\,B\,a\right)}{4\,a^{5/2}}","Not used",1,"- (((5*A*b^2 - 4*B*a*b)*(a + b*x)^(1/2))/(4*a) - ((3*A*b^2 - 4*B*a*b)*(a + b*x)^(3/2))/(4*a^2))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) - (b*atanh((a + b*x)^(1/2)/a^(1/2))*(3*A*b - 4*B*a))/(4*a^(5/2))","B"
431,1,145,115,0.118719,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x)^(1/2)),x)","\frac{\frac{\left(5\,A\,b^3-6\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^{5/2}}{8\,a^3}-\frac{\left(5\,A\,b^3-6\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,a^2}+\frac{\left(11\,A\,b^3-10\,B\,a\,b^2\right)\,\sqrt{a+b\,x}}{8\,a}}{3\,a\,{\left(a+b\,x\right)}^2-3\,a^2\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^3+a^3}+\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(5\,A\,b-6\,B\,a\right)}{8\,a^{7/2}}","Not used",1,"(((5*A*b^3 - 6*B*a*b^2)*(a + b*x)^(5/2))/(8*a^3) - ((5*A*b^3 - 6*B*a*b^2)*(a + b*x)^(3/2))/(3*a^2) + ((11*A*b^3 - 10*B*a*b^2)*(a + b*x)^(1/2))/(8*a))/(3*a*(a + b*x)^2 - 3*a^2*(a + b*x) - (a + b*x)^3 + a^3) + (b^2*atanh((a + b*x)^(1/2)/a^(1/2))*(5*A*b - 6*B*a))/(8*a^(7/2))","B"
432,1,181,146,0.440889,"\text{Not used}","int((A + B*x)/(x^5*(a + b*x)^(1/2)),x)","\frac{\frac{73\,\left(7\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{3/2}}{192\,a^2}-\frac{55\,\left(7\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{5/2}}{192\,a^3}+\frac{5\,\left(7\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^{7/2}}{64\,a^4}-\frac{\left(93\,A\,b^4-88\,B\,a\,b^3\right)\,\sqrt{a+b\,x}}{64\,a}}{{\left(a+b\,x\right)}^4-4\,a^3\,\left(a+b\,x\right)-4\,a\,{\left(a+b\,x\right)}^3+6\,a^2\,{\left(a+b\,x\right)}^2+a^4}-\frac{5\,b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(7\,A\,b-8\,B\,a\right)}{64\,a^{9/2}}","Not used",1,"((73*(7*A*b^4 - 8*B*a*b^3)*(a + b*x)^(3/2))/(192*a^2) - (55*(7*A*b^4 - 8*B*a*b^3)*(a + b*x)^(5/2))/(192*a^3) + (5*(7*A*b^4 - 8*B*a*b^3)*(a + b*x)^(7/2))/(64*a^4) - ((93*A*b^4 - 88*B*a*b^3)*(a + b*x)^(1/2))/(64*a))/((a + b*x)^4 - 4*a^3*(a + b*x) - 4*a*(a + b*x)^3 + 6*a^2*(a + b*x)^2 + a^4) - (5*b^3*atanh((a + b*x)^(1/2)/a^(1/2))*(7*A*b - 8*B*a))/(64*a^(9/2))","B"
433,1,221,177,0.140262,"\text{Not used}","int((A + B*x)/(x^6*(a + b*x)^(1/2)),x)","\frac{\frac{7\,\left(9\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{5/2}}{15\,a^3}-\frac{79\,\left(9\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{3/2}}{192\,a^2}-\frac{49\,\left(9\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{7/2}}{192\,a^4}+\frac{7\,\left(9\,A\,b^5-10\,B\,a\,b^4\right)\,{\left(a+b\,x\right)}^{9/2}}{128\,a^5}+\frac{\left(193\,A\,b^5-186\,B\,a\,b^4\right)\,\sqrt{a+b\,x}}{128\,a}}{5\,a\,{\left(a+b\,x\right)}^4-5\,a^4\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^5-10\,a^2\,{\left(a+b\,x\right)}^3+10\,a^3\,{\left(a+b\,x\right)}^2+a^5}+\frac{7\,b^4\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(9\,A\,b-10\,B\,a\right)}{128\,a^{11/2}}","Not used",1,"((7*(9*A*b^5 - 10*B*a*b^4)*(a + b*x)^(5/2))/(15*a^3) - (79*(9*A*b^5 - 10*B*a*b^4)*(a + b*x)^(3/2))/(192*a^2) - (49*(9*A*b^5 - 10*B*a*b^4)*(a + b*x)^(7/2))/(192*a^4) + (7*(9*A*b^5 - 10*B*a*b^4)*(a + b*x)^(9/2))/(128*a^5) + ((193*A*b^5 - 186*B*a*b^4)*(a + b*x)^(1/2))/(128*a))/(5*a*(a + b*x)^4 - 5*a^4*(a + b*x) - (a + b*x)^5 - 10*a^2*(a + b*x)^3 + 10*a^3*(a + b*x)^2 + a^5) + (7*b^4*atanh((a + b*x)^(1/2)/a^(1/2))*(9*A*b - 10*B*a))/(128*a^(11/2))","B"
434,1,135,147,0.382936,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x)^(3/2),x)","\frac{\left(20\,B\,a^2-8\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^6}+\frac{2\,B\,{\left(a+b\,x\right)}^{9/2}}{9\,b^6}+\frac{\left(2\,A\,b-10\,B\,a\right)\,{\left(a+b\,x\right)}^{7/2}}{7\,b^6}+\frac{2\,B\,a^5-2\,A\,a^4\,b}{b^6\,\sqrt{a+b\,x}}+\frac{\left(10\,B\,a^4-8\,A\,a^3\,b\right)\,\sqrt{a+b\,x}}{b^6}-\frac{\left(20\,B\,a^3-12\,A\,a^2\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^6}","Not used",1,"((20*B*a^2 - 8*A*a*b)*(a + b*x)^(5/2))/(5*b^6) + (2*B*(a + b*x)^(9/2))/(9*b^6) + ((2*A*b - 10*B*a)*(a + b*x)^(7/2))/(7*b^6) + (2*B*a^5 - 2*A*a^4*b)/(b^6*(a + b*x)^(1/2)) + ((10*B*a^4 - 8*A*a^3*b)*(a + b*x)^(1/2))/b^6 - ((20*B*a^3 - 12*A*a^2*b)*(a + b*x)^(3/2))/(3*b^6)","B"
435,1,111,116,0.055254,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x)^(3/2),x)","\frac{\left(12\,B\,a^2-6\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^5}+\frac{2\,B\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}+\frac{\left(2\,A\,b-8\,B\,a\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}-\frac{2\,B\,a^4-2\,A\,a^3\,b}{b^5\,\sqrt{a+b\,x}}-\frac{\left(8\,B\,a^3-6\,A\,a^2\,b\right)\,\sqrt{a+b\,x}}{b^5}","Not used",1,"((12*B*a^2 - 6*A*a*b)*(a + b*x)^(3/2))/(3*b^5) + (2*B*(a + b*x)^(7/2))/(7*b^5) + ((2*A*b - 8*B*a)*(a + b*x)^(5/2))/(5*b^5) - (2*B*a^4 - 2*A*a^3*b)/(b^5*(a + b*x)^(1/2)) - ((8*B*a^3 - 6*A*a^2*b)*(a + b*x)^(1/2))/b^5","B"
436,1,83,91,0.077157,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x)^(3/2),x)","\frac{\left(6\,B\,a^2-4\,A\,a\,b\right)\,\sqrt{a+b\,x}}{b^4}+\frac{2\,B\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}+\frac{\left(2\,A\,b-6\,B\,a\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^4}+\frac{2\,B\,a^3-2\,A\,a^2\,b}{b^4\,\sqrt{a+b\,x}}","Not used",1,"((6*B*a^2 - 4*A*a*b)*(a + b*x)^(1/2))/b^4 + (2*B*(a + b*x)^(5/2))/(5*b^4) + ((2*A*b - 6*B*a)*(a + b*x)^(3/2))/(3*b^4) + (2*B*a^3 - 2*A*a^2*b)/(b^4*(a + b*x)^(1/2))","B"
437,1,52,63,0.063421,"\text{Not used}","int((x*(A + B*x))/(a + b*x)^(3/2),x)","\frac{2\,B\,{\left(a+b\,x\right)}^2-6\,B\,a^2+6\,A\,a\,b+6\,A\,b\,\left(a+b\,x\right)-12\,B\,a\,\left(a+b\,x\right)}{3\,b^3\,\sqrt{a+b\,x}}","Not used",1,"(2*B*(a + b*x)^2 - 6*B*a^2 + 6*A*a*b + 6*A*b*(a + b*x) - 12*B*a*(a + b*x))/(3*b^3*(a + b*x)^(1/2))","B"
438,1,25,38,0.369847,"\text{Not used}","int((A + B*x)/(a + b*x)^(3/2),x)","\frac{4\,B\,a-2\,A\,b+2\,B\,b\,x}{b^2\,\sqrt{a+b\,x}}","Not used",1,"(4*B*a - 2*A*b + 2*B*b*x)/(b^2*(a + b*x)^(1/2))","B"
439,1,42,50,0.091633,"\text{Not used}","int((A + B*x)/(x*(a + b*x)^(3/2)),x)","\frac{2\,\left(A\,b-B\,a\right)}{a\,b\,\sqrt{a+b\,x}}-\frac{2\,A\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"(2*(A*b - B*a))/(a*b*(a + b*x)^(1/2)) - (2*A*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(3/2)","B"
440,1,82,73,0.423268,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x)^(3/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(3\,A\,b-2\,B\,a\right)}{a^{5/2}}-\frac{\frac{2\,\left(A\,b-B\,a\right)}{a}-\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(a+b\,x\right)}{a^2}}{a\,\sqrt{a+b\,x}-{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(atanh((a + b*x)^(1/2)/a^(1/2))*(3*A*b - 2*B*a))/a^(5/2) - ((2*(A*b - B*a))/a - ((3*A*b - 2*B*a)*(a + b*x))/a^2)/(a*(a + b*x)^(1/2) - (a + b*x)^(3/2))","B"
441,1,123,110,0.433741,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x)^(3/2)),x)","\frac{\frac{2\,\left(A\,b^2-B\,a\,b\right)}{a}-\frac{5\,\left(5\,A\,b^2-4\,B\,a\,b\right)\,\left(a+b\,x\right)}{4\,a^2}+\frac{3\,\left(5\,A\,b^2-4\,B\,a\,b\right)\,{\left(a+b\,x\right)}^2}{4\,a^3}}{{\left(a+b\,x\right)}^{5/2}-2\,a\,{\left(a+b\,x\right)}^{3/2}+a^2\,\sqrt{a+b\,x}}-\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(5\,A\,b-4\,B\,a\right)}{4\,a^{7/2}}","Not used",1,"((2*(A*b^2 - B*a*b))/a - (5*(5*A*b^2 - 4*B*a*b)*(a + b*x))/(4*a^2) + (3*(5*A*b^2 - 4*B*a*b)*(a + b*x)^2)/(4*a^3))/((a + b*x)^(5/2) - 2*a*(a + b*x)^(3/2) + a^2*(a + b*x)^(1/2)) - (3*b*atanh((a + b*x)^(1/2)/a^(1/2))*(5*A*b - 4*B*a))/(4*a^(7/2))","B"
442,1,172,143,0.130631,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x)^(3/2)),x)","\frac{5\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(7\,A\,b-6\,B\,a\right)}{8\,a^{9/2}}-\frac{\frac{2\,\left(A\,b^3-B\,a\,b^2\right)}{a}-\frac{11\,\left(7\,A\,b^3-6\,B\,a\,b^2\right)\,\left(a+b\,x\right)}{8\,a^2}+\frac{5\,\left(7\,A\,b^3-6\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^2}{3\,a^3}-\frac{5\,\left(7\,A\,b^3-6\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^3}{8\,a^4}}{3\,a\,{\left(a+b\,x\right)}^{5/2}-{\left(a+b\,x\right)}^{7/2}+a^3\,\sqrt{a+b\,x}-3\,a^2\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(5*b^2*atanh((a + b*x)^(1/2)/a^(1/2))*(7*A*b - 6*B*a))/(8*a^(9/2)) - ((2*(A*b^3 - B*a*b^2))/a - (11*(7*A*b^3 - 6*B*a*b^2)*(a + b*x))/(8*a^2) + (5*(7*A*b^3 - 6*B*a*b^2)*(a + b*x)^2)/(3*a^3) - (5*(7*A*b^3 - 6*B*a*b^2)*(a + b*x)^3)/(8*a^4))/(3*a*(a + b*x)^(5/2) - (a + b*x)^(7/2) + a^3*(a + b*x)^(1/2) - 3*a^2*(a + b*x)^(3/2))","B"
443,1,207,174,0.458635,"\text{Not used}","int((A + B*x)/(x^5*(a + b*x)^(3/2)),x)","\frac{\frac{2\,\left(A\,b^4-B\,a\,b^3\right)}{a}-\frac{93\,\left(9\,A\,b^4-8\,B\,a\,b^3\right)\,\left(a+b\,x\right)}{64\,a^2}+\frac{511\,\left(9\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^2}{192\,a^3}-\frac{385\,\left(9\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^3}{192\,a^4}+\frac{35\,\left(9\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^4}{64\,a^5}}{{\left(a+b\,x\right)}^{9/2}-4\,a\,{\left(a+b\,x\right)}^{7/2}+a^4\,\sqrt{a+b\,x}-4\,a^3\,{\left(a+b\,x\right)}^{3/2}+6\,a^2\,{\left(a+b\,x\right)}^{5/2}}-\frac{35\,b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(9\,A\,b-8\,B\,a\right)}{64\,a^{11/2}}","Not used",1,"((2*(A*b^4 - B*a*b^3))/a - (93*(9*A*b^4 - 8*B*a*b^3)*(a + b*x))/(64*a^2) + (511*(9*A*b^4 - 8*B*a*b^3)*(a + b*x)^2)/(192*a^3) - (385*(9*A*b^4 - 8*B*a*b^3)*(a + b*x)^3)/(192*a^4) + (35*(9*A*b^4 - 8*B*a*b^3)*(a + b*x)^4)/(64*a^5))/((a + b*x)^(9/2) - 4*a*(a + b*x)^(7/2) + a^4*(a + b*x)^(1/2) - 4*a^3*(a + b*x)^(3/2) + 6*a^2*(a + b*x)^(5/2)) - (35*b^3*atanh((a + b*x)^(1/2)/a^(1/2))*(9*A*b - 8*B*a))/(64*a^(11/2))","B"
444,1,131,147,0.074278,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x)^(5/2),x)","\frac{\left(20\,B\,a^2-8\,A\,a\,b\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^6}+\frac{2\,B\,{\left(a+b\,x\right)}^{7/2}}{7\,b^6}-\frac{\left(10\,B\,a^4-8\,A\,a^3\,b\right)\,\left(a+b\,x\right)-\frac{2\,B\,a^5}{3}+\frac{2\,A\,a^4\,b}{3}}{b^6\,{\left(a+b\,x\right)}^{3/2}}+\frac{\left(2\,A\,b-10\,B\,a\right)\,{\left(a+b\,x\right)}^{5/2}}{5\,b^6}-\frac{\left(20\,B\,a^3-12\,A\,a^2\,b\right)\,\sqrt{a+b\,x}}{b^6}","Not used",1,"((20*B*a^2 - 8*A*a*b)*(a + b*x)^(3/2))/(3*b^6) + (2*B*(a + b*x)^(7/2))/(7*b^6) - ((10*B*a^4 - 8*A*a^3*b)*(a + b*x) - (2*B*a^5)/3 + (2*A*a^4*b)/3)/(b^6*(a + b*x)^(3/2)) + ((2*A*b - 10*B*a)*(a + b*x)^(5/2))/(5*b^6) - ((20*B*a^3 - 12*A*a^2*b)*(a + b*x)^(1/2))/b^6","B"
445,1,103,118,0.408207,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x)^(5/2),x)","\frac{\left(12\,B\,a^2-6\,A\,a\,b\right)\,\sqrt{a+b\,x}}{b^5}+\frac{2\,B\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}+\frac{\left(8\,B\,a^3-6\,A\,a^2\,b\right)\,\left(a+b\,x\right)-\frac{2\,B\,a^4}{3}+\frac{2\,A\,a^3\,b}{3}}{b^5\,{\left(a+b\,x\right)}^{3/2}}+\frac{\left(2\,A\,b-8\,B\,a\right)\,{\left(a+b\,x\right)}^{3/2}}{3\,b^5}","Not used",1,"((12*B*a^2 - 6*A*a*b)*(a + b*x)^(1/2))/b^5 + (2*B*(a + b*x)^(5/2))/(5*b^5) + ((8*B*a^3 - 6*A*a^2*b)*(a + b*x) - (2*B*a^4)/3 + (2*A*a^3*b)/3)/(b^5*(a + b*x)^(3/2)) + ((2*A*b - 8*B*a)*(a + b*x)^(3/2))/(3*b^5)","B"
446,1,79,91,0.081074,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x)^(5/2),x)","\frac{2\,B\,a^3+2\,B\,{\left(a+b\,x\right)}^3+6\,A\,b\,{\left(a+b\,x\right)}^2-18\,B\,a\,{\left(a+b\,x\right)}^2-18\,B\,a^2\,\left(a+b\,x\right)-2\,A\,a^2\,b+12\,A\,a\,b\,\left(a+b\,x\right)}{3\,b^4\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(2*B*a^3 + 2*B*(a + b*x)^3 + 6*A*b*(a + b*x)^2 - 18*B*a*(a + b*x)^2 - 18*B*a^2*(a + b*x) - 2*A*a^2*b + 12*A*a*b*(a + b*x))/(3*b^4*(a + b*x)^(3/2))","B"
447,1,52,63,0.372801,"\text{Not used}","int((x*(A + B*x))/(a + b*x)^(5/2),x)","\frac{6\,B\,{\left(a+b\,x\right)}^2-2\,B\,a^2+2\,A\,a\,b-6\,A\,b\,\left(a+b\,x\right)+12\,B\,a\,\left(a+b\,x\right)}{3\,b^3\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(6*B*(a + b*x)^2 - 2*B*a^2 + 2*A*a*b - 6*A*b*(a + b*x) + 12*B*a*(a + b*x))/(3*b^3*(a + b*x)^(3/2))","B"
448,1,29,40,0.040962,"\text{Not used}","int((A + B*x)/(a + b*x)^(5/2),x)","-\frac{2\,A\,b-2\,B\,a+6\,B\,\left(a+b\,x\right)}{3\,b^2\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"-(2*A*b - 2*B*a + 6*B*(a + b*x))/(3*b^2*(a + b*x)^(3/2))","B"
449,1,56,67,0.413563,"\text{Not used}","int((A + B*x)/(x*(a + b*x)^(5/2)),x)","\frac{\frac{2\,\left(A\,b-B\,a\right)}{3\,a}+\frac{2\,A\,b\,\left(a+b\,x\right)}{a^2}}{b\,{\left(a+b\,x\right)}^{3/2}}-\frac{2\,A\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"((2*(A*b - B*a))/(3*a) + (2*A*b*(a + b*x))/a^2)/(b*(a + b*x)^(3/2)) - (2*A*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(5/2)","B"
450,1,103,98,0.421692,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x)^(5/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(5\,A\,b-2\,B\,a\right)}{a^{7/2}}-\frac{\frac{2\,\left(A\,b-B\,a\right)}{3\,a}+\frac{2\,\left(5\,A\,b-2\,B\,a\right)\,\left(a+b\,x\right)}{3\,a^2}-\frac{\left(5\,A\,b-2\,B\,a\right)\,{\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,"(atanh((a + b*x)^(1/2)/a^(1/2))*(5*A*b - 2*B*a))/a^(7/2) - ((2*(A*b - B*a))/(3*a) + (2*(5*A*b - 2*B*a)*(a + b*x))/(3*a^2) - ((5*A*b - 2*B*a)*(a + b*x)^2)/a^3)/(a*(a + b*x)^(3/2) - (a + b*x)^(5/2))","B"
451,1,147,136,0.449697,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x)^(5/2)),x)","\frac{\frac{2\,\left(A\,b^2-B\,a\,b\right)}{3\,a}+\frac{2\,\left(7\,A\,b^2-4\,B\,a\,b\right)\,\left(a+b\,x\right)}{3\,a^2}-\frac{25\,\left(7\,A\,b^2-4\,B\,a\,b\right)\,{\left(a+b\,x\right)}^2}{12\,a^3}+\frac{5\,\left(7\,A\,b^2-4\,B\,a\,b\right)\,{\left(a+b\,x\right)}^3}{4\,a^4}}{{\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{5\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(7\,A\,b-4\,B\,a\right)}{4\,a^{9/2}}","Not used",1,"((2*(A*b^2 - B*a*b))/(3*a) + (2*(7*A*b^2 - 4*B*a*b)*(a + b*x))/(3*a^2) - (25*(7*A*b^2 - 4*B*a*b)*(a + b*x)^2)/(12*a^3) + (5*(7*A*b^2 - 4*B*a*b)*(a + b*x)^3)/(4*a^4))/((a + b*x)^(7/2) - 2*a*(a + b*x)^(5/2) + a^2*(a + b*x)^(3/2)) - (5*b*atanh((a + b*x)^(1/2)/a^(1/2))*(7*A*b - 4*B*a))/(4*a^(9/2))","B"
452,1,198,171,0.136587,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x)^(5/2)),x)","\frac{35\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(3\,A\,b-2\,B\,a\right)}{8\,a^{11/2}}-\frac{\frac{2\,\left(A\,b^3-B\,a\,b^2\right)}{3\,a}+\frac{2\,\left(3\,A\,b^3-2\,B\,a\,b^2\right)\,\left(a+b\,x\right)}{a^2}-\frac{77\,\left(3\,A\,b^3-2\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^2}{8\,a^3}+\frac{35\,\left(3\,A\,b^3-2\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^3}{3\,a^4}-\frac{35\,\left(3\,A\,b^3-2\,B\,a\,b^2\right)\,{\left(a+b\,x\right)}^4}{8\,a^5}}{3\,a\,{\left(a+b\,x\right)}^{7/2}-{\left(a+b\,x\right)}^{9/2}+a^3\,{\left(a+b\,x\right)}^{3/2}-3\,a^2\,{\left(a+b\,x\right)}^{5/2}}","Not used",1,"(35*b^2*atanh((a + b*x)^(1/2)/a^(1/2))*(3*A*b - 2*B*a))/(8*a^(11/2)) - ((2*(A*b^3 - B*a*b^2))/(3*a) + (2*(3*A*b^3 - 2*B*a*b^2)*(a + b*x))/a^2 - (77*(3*A*b^3 - 2*B*a*b^2)*(a + b*x)^2)/(8*a^3) + (35*(3*A*b^3 - 2*B*a*b^2)*(a + b*x)^3)/(3*a^4) - (35*(3*A*b^3 - 2*B*a*b^2)*(a + b*x)^4)/(8*a^5))/(3*a*(a + b*x)^(7/2) - (a + b*x)^(9/2) + a^3*(a + b*x)^(3/2) - 3*a^2*(a + b*x)^(5/2))","B"
453,1,233,202,0.468886,"\text{Not used}","int((A + B*x)/(x^5*(a + b*x)^(5/2)),x)","\frac{\frac{2\,\left(A\,b^4-B\,a\,b^3\right)}{3\,a}+\frac{2\,\left(11\,A\,b^4-8\,B\,a\,b^3\right)\,\left(a+b\,x\right)}{3\,a^2}-\frac{279\,\left(11\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^2}{64\,a^3}+\frac{511\,\left(11\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^3}{64\,a^4}-\frac{385\,\left(11\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^4}{64\,a^5}+\frac{105\,\left(11\,A\,b^4-8\,B\,a\,b^3\right)\,{\left(a+b\,x\right)}^5}{64\,a^6}}{{\left(a+b\,x\right)}^{11/2}-4\,a\,{\left(a+b\,x\right)}^{9/2}+a^4\,{\left(a+b\,x\right)}^{3/2}-4\,a^3\,{\left(a+b\,x\right)}^{5/2}+6\,a^2\,{\left(a+b\,x\right)}^{7/2}}-\frac{105\,b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)\,\left(11\,A\,b-8\,B\,a\right)}{64\,a^{13/2}}","Not used",1,"((2*(A*b^4 - B*a*b^3))/(3*a) + (2*(11*A*b^4 - 8*B*a*b^3)*(a + b*x))/(3*a^2) - (279*(11*A*b^4 - 8*B*a*b^3)*(a + b*x)^2)/(64*a^3) + (511*(11*A*b^4 - 8*B*a*b^3)*(a + b*x)^3)/(64*a^4) - (385*(11*A*b^4 - 8*B*a*b^3)*(a + b*x)^4)/(64*a^5) + (105*(11*A*b^4 - 8*B*a*b^3)*(a + b*x)^5)/(64*a^6))/((a + b*x)^(11/2) - 4*a*(a + b*x)^(9/2) + a^4*(a + b*x)^(3/2) - 4*a^3*(a + b*x)^(5/2) + 6*a^2*(a + b*x)^(7/2)) - (105*b^3*atanh((a + b*x)^(1/2)/a^(1/2))*(11*A*b - 8*B*a))/(64*a^(13/2))","B"
454,1,59,71,0.160472,"\text{Not used}","int((a + b*x)^2/(x^2*(c + d*x)^(1/2)),x)","\frac{2\,b^2\,\sqrt{c+d\,x}}{d}+\frac{a\,\mathrm{atanh}\left(\frac{\sqrt{c+d\,x}}{\sqrt{c}}\right)\,\left(a\,d-4\,b\,c\right)}{c^{3/2}}-\frac{a^2\,\sqrt{c+d\,x}}{c\,x}","Not used",1,"(2*b^2*(c + d*x)^(1/2))/d + (a*atanh((c + d*x)^(1/2)/c^(1/2))*(a*d - 4*b*c))/c^(3/2) - (a^2*(c + d*x)^(1/2))/(c*x)","B"
455,1,567,209,0.100346,"\text{Not used}","int((x^3*(c + d*x)^(5/2))/(a + b*x),x)","\left(\frac{6\,c^2}{7\,b\,d^3}+\frac{\left(\frac{6\,c}{b\,d^3}+\frac{2\,\left(a\,d^4-b\,c\,d^3\right)}{b^2\,d^6}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{7\,b\,d^3}\right)\,{\left(c+d\,x\right)}^{7/2}-\left(\frac{2\,c^3}{5\,b\,d^3}+\frac{\left(\frac{6\,c^2}{b\,d^3}+\frac{\left(\frac{6\,c}{b\,d^3}+\frac{2\,\left(a\,d^4-b\,c\,d^3\right)}{b^2\,d^6}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{b\,d^3}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{5\,b\,d^3}\right)\,{\left(c+d\,x\right)}^{5/2}-\left(\frac{2\,c}{3\,b\,d^3}+\frac{2\,\left(a\,d^4-b\,c\,d^3\right)}{9\,b^2\,d^6}\right)\,{\left(c+d\,x\right)}^{9/2}+\frac{2\,{\left(c+d\,x\right)}^{11/2}}{11\,b\,d^3}+\frac{2\,a^3\,\mathrm{atan}\left(\frac{a^3\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{5/2}\,\sqrt{c+d\,x}}{a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{5/2}}{b^{13/2}}-\frac{\left(\frac{2\,c^3}{b\,d^3}+\frac{\left(\frac{6\,c^2}{b\,d^3}+\frac{\left(\frac{6\,c}{b\,d^3}+\frac{2\,\left(a\,d^4-b\,c\,d^3\right)}{b^2\,d^6}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{b\,d^3}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{b\,d^3}\right)\,{\left(a\,d^4-b\,c\,d^3\right)}^2\,\sqrt{c+d\,x}}{b^2\,d^6}+\frac{\left(\frac{2\,c^3}{b\,d^3}+\frac{\left(\frac{6\,c^2}{b\,d^3}+\frac{\left(\frac{6\,c}{b\,d^3}+\frac{2\,\left(a\,d^4-b\,c\,d^3\right)}{b^2\,d^6}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{b\,d^3}\right)\,\left(a\,d^4-b\,c\,d^3\right)}{b\,d^3}\right)\,\left(a\,d^4-b\,c\,d^3\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,b\,d^3}","Not used",1,"((6*c^2)/(7*b*d^3) + (((6*c)/(b*d^3) + (2*(a*d^4 - b*c*d^3))/(b^2*d^6))*(a*d^4 - b*c*d^3))/(7*b*d^3))*(c + d*x)^(7/2) - ((2*c^3)/(5*b*d^3) + (((6*c^2)/(b*d^3) + (((6*c)/(b*d^3) + (2*(a*d^4 - b*c*d^3))/(b^2*d^6))*(a*d^4 - b*c*d^3))/(b*d^3))*(a*d^4 - b*c*d^3))/(5*b*d^3))*(c + d*x)^(5/2) - ((2*c)/(3*b*d^3) + (2*(a*d^4 - b*c*d^3))/(9*b^2*d^6))*(c + d*x)^(9/2) + (2*(c + d*x)^(11/2))/(11*b*d^3) + (2*a^3*atan((a^3*b^(1/2)*(a*d - b*c)^(5/2)*(c + d*x)^(1/2))/(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2))*(a*d - b*c)^(5/2))/b^(13/2) - (((2*c^3)/(b*d^3) + (((6*c^2)/(b*d^3) + (((6*c)/(b*d^3) + (2*(a*d^4 - b*c*d^3))/(b^2*d^6))*(a*d^4 - b*c*d^3))/(b*d^3))*(a*d^4 - b*c*d^3))/(b*d^3))*(a*d^4 - b*c*d^3)^2*(c + d*x)^(1/2))/(b^2*d^6) + (((2*c^3)/(b*d^3) + (((6*c^2)/(b*d^3) + (((6*c)/(b*d^3) + (2*(a*d^4 - b*c*d^3))/(b^2*d^6))*(a*d^4 - b*c*d^3))/(b*d^3))*(a*d^4 - b*c*d^3))/(b*d^3))*(a*d^4 - b*c*d^3)*(c + d*x)^(3/2))/(3*b*d^3)","B"
456,1,397,169,0.399236,"\text{Not used}","int((x^2*(c + d*x)^(5/2))/(a + b*x),x)","\left(\frac{2\,c^2}{5\,b\,d^2}+\frac{\left(\frac{4\,c}{b\,d^2}+\frac{2\,\left(a\,d^3-b\,c\,d^2\right)}{b^2\,d^4}\right)\,\left(a\,d^3-b\,c\,d^2\right)}{5\,b\,d^2}\right)\,{\left(c+d\,x\right)}^{5/2}-\left(\frac{4\,c}{7\,b\,d^2}+\frac{2\,\left(a\,d^3-b\,c\,d^2\right)}{7\,b^2\,d^4}\right)\,{\left(c+d\,x\right)}^{7/2}+\frac{2\,{\left(c+d\,x\right)}^{9/2}}{9\,b\,d^2}-\frac{2\,a^2\,\mathrm{atan}\left(\frac{a^2\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{5/2}\,\sqrt{c+d\,x}}{a^5\,d^3-3\,a^4\,b\,c\,d^2+3\,a^3\,b^2\,c^2\,d-a^2\,b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{5/2}}{b^{11/2}}-\frac{\left(\frac{2\,c^2}{b\,d^2}+\frac{\left(\frac{4\,c}{b\,d^2}+\frac{2\,\left(a\,d^3-b\,c\,d^2\right)}{b^2\,d^4}\right)\,\left(a\,d^3-b\,c\,d^2\right)}{b\,d^2}\right)\,\left(a\,d^3-b\,c\,d^2\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,b\,d^2}+\frac{\left(\frac{2\,c^2}{b\,d^2}+\frac{\left(\frac{4\,c}{b\,d^2}+\frac{2\,\left(a\,d^3-b\,c\,d^2\right)}{b^2\,d^4}\right)\,\left(a\,d^3-b\,c\,d^2\right)}{b\,d^2}\right)\,{\left(a\,d^3-b\,c\,d^2\right)}^2\,\sqrt{c+d\,x}}{b^2\,d^4}","Not used",1,"((2*c^2)/(5*b*d^2) + (((4*c)/(b*d^2) + (2*(a*d^3 - b*c*d^2))/(b^2*d^4))*(a*d^3 - b*c*d^2))/(5*b*d^2))*(c + d*x)^(5/2) - ((4*c)/(7*b*d^2) + (2*(a*d^3 - b*c*d^2))/(7*b^2*d^4))*(c + d*x)^(7/2) + (2*(c + d*x)^(9/2))/(9*b*d^2) - (2*a^2*atan((a^2*b^(1/2)*(a*d - b*c)^(5/2)*(c + d*x)^(1/2))/(a^5*d^3 - a^2*b^3*c^3 + 3*a^3*b^2*c^2*d - 3*a^4*b*c*d^2))*(a*d - b*c)^(5/2))/b^(11/2) - (((2*c^2)/(b*d^2) + (((4*c)/(b*d^2) + (2*(a*d^3 - b*c*d^2))/(b^2*d^4))*(a*d^3 - b*c*d^2))/(b*d^2))*(a*d^3 - b*c*d^2)*(c + d*x)^(3/2))/(3*b*d^2) + (((2*c^2)/(b*d^2) + (((4*c)/(b*d^2) + (2*(a*d^3 - b*c*d^2))/(b^2*d^4))*(a*d^3 - b*c*d^2))/(b*d^2))*(a*d^3 - b*c*d^2)^2*(c + d*x)^(1/2))/(b^2*d^4)","B"
457,1,246,135,0.395254,"\text{Not used}","int((x*(c + d*x)^(5/2))/(a + b*x),x)","\frac{2\,{\left(c+d\,x\right)}^{7/2}}{7\,b\,d}-\left(\frac{2\,c}{5\,b\,d}+\frac{2\,\left(a\,d^2-b\,c\,d\right)}{5\,b^2\,d^2}\right)\,{\left(c+d\,x\right)}^{5/2}+\frac{2\,a\,\mathrm{atan}\left(\frac{a\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{5/2}\,\sqrt{c+d\,x}}{a^4\,d^3-3\,a^3\,b\,c\,d^2+3\,a^2\,b^2\,c^2\,d-a\,b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{5/2}}{b^{9/2}}-\frac{{\left(a\,d^2-b\,c\,d\right)}^2\,\left(\frac{2\,c}{b\,d}+\frac{2\,\left(a\,d^2-b\,c\,d\right)}{b^2\,d^2}\right)\,\sqrt{c+d\,x}}{b^2\,d^2}+\frac{\left(a\,d^2-b\,c\,d\right)\,\left(\frac{2\,c}{b\,d}+\frac{2\,\left(a\,d^2-b\,c\,d\right)}{b^2\,d^2}\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,b\,d}","Not used",1,"(2*(c + d*x)^(7/2))/(7*b*d) - ((2*c)/(5*b*d) + (2*(a*d^2 - b*c*d))/(5*b^2*d^2))*(c + d*x)^(5/2) + (2*a*atan((a*b^(1/2)*(a*d - b*c)^(5/2)*(c + d*x)^(1/2))/(a^4*d^3 - a*b^3*c^3 + 3*a^2*b^2*c^2*d - 3*a^3*b*c*d^2))*(a*d - b*c)^(5/2))/b^(9/2) - ((a*d^2 - b*c*d)^2*((2*c)/(b*d) + (2*(a*d^2 - b*c*d))/(b^2*d^2))*(c + d*x)^(1/2))/(b^2*d^2) + ((a*d^2 - b*c*d)*((2*c)/(b*d) + (2*(a*d^2 - b*c*d))/(b^2*d^2))*(c + d*x)^(3/2))/(3*b*d)","B"
458,1,130,112,0.401628,"\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"
459,1,2048,118,0.767819,"\text{Not used}","int((c + d*x)^(5/2)/(x*(a + b*x)),x)","\frac{2\,d\,{\left(c+d\,x\right)}^{3/2}}{3\,b}-\frac{2\,d\,\left(a\,d-2\,b\,c\right)\,\sqrt{c+d\,x}}{b^2}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}+\frac{\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}+\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{c^5}\,\sqrt{c+d\,x}}{a\,b^3}\right)\,\sqrt{c^5}}{a}\right)\,\sqrt{c^5}\,1{}\mathrm{i}}{a}+\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}-\frac{\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}-\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{c^5}\,\sqrt{c+d\,x}}{a\,b^3}\right)\,\sqrt{c^5}}{a}\right)\,\sqrt{c^5}\,1{}\mathrm{i}}{a}}{\frac{16\,\left(a^5\,c^3\,d^8-6\,a^4\,b\,c^4\,d^7+15\,a^3\,b^2\,c^5\,d^6-19\,a^2\,b^3\,c^6\,d^5+12\,a\,b^4\,c^7\,d^4-3\,b^5\,c^8\,d^3\right)}{b^3}-\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}+\frac{\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}+\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{c^5}\,\sqrt{c+d\,x}}{a\,b^3}\right)\,\sqrt{c^5}}{a}\right)\,\sqrt{c^5}}{a}+\frac{\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}-\frac{\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}-\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{c^5}\,\sqrt{c+d\,x}}{a\,b^3}\right)\,\sqrt{c^5}}{a}\right)\,\sqrt{c^5}}{a}}\right)\,\sqrt{c^5}\,2{}\mathrm{i}}{a}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}+\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,x}}{a\,b^8}\right)}{a\,b^5}\right)\,1{}\mathrm{i}}{a\,b^5}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}-\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,x}}{a\,b^8}\right)}{a\,b^5}\right)\,1{}\mathrm{i}}{a\,b^5}}{\frac{16\,\left(a^5\,c^3\,d^8-6\,a^4\,b\,c^4\,d^7+15\,a^3\,b^2\,c^5\,d^6-19\,a^2\,b^3\,c^6\,d^5+12\,a\,b^4\,c^7\,d^4-3\,b^5\,c^8\,d^3\right)}{b^3}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}+\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,x}}{a\,b^8}\right)}{a\,b^5}\right)}{a\,b^5}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\sqrt{c+d\,x}\,\left(a^6\,d^8-6\,a^5\,b\,c\,d^7+15\,a^4\,b^2\,c^2\,d^6-20\,a^3\,b^3\,c^3\,d^5+15\,a^2\,b^4\,c^4\,d^4-6\,a\,b^5\,c^5\,d^3+2\,b^6\,c^6\,d^2\right)}{b^3}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\frac{8\,\left(a^4\,b^3\,c\,d^5-3\,a^3\,b^4\,c^2\,d^4+2\,a^2\,b^5\,c^3\,d^3\right)}{b^3}-\frac{8\,\left(a^3\,b^5\,d^3-2\,a^2\,b^6\,c\,d^2\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\sqrt{c+d\,x}}{a\,b^8}\right)}{a\,b^5}\right)}{a\,b^5}}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,2{}\mathrm{i}}{a\,b^5}","Not used",1,"(atan(((((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 + (((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 + (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(c^5)^(1/2)*(c + d*x)^(1/2))/(a*b^3))*(c^5)^(1/2))/a)*(c^5)^(1/2)*1i)/a + (((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 - (((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 - (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(c^5)^(1/2)*(c + d*x)^(1/2))/(a*b^3))*(c^5)^(1/2))/a)*(c^5)^(1/2)*1i)/a)/((16*(a^5*c^3*d^8 - 3*b^5*c^8*d^3 + 12*a*b^4*c^7*d^4 - 6*a^4*b*c^4*d^7 - 19*a^2*b^3*c^6*d^5 + 15*a^3*b^2*c^5*d^6))/b^3 - (((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 + (((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 + (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(c^5)^(1/2)*(c + d*x)^(1/2))/(a*b^3))*(c^5)^(1/2))/a)*(c^5)^(1/2))/a + (((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 - (((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 - (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(c^5)^(1/2)*(c + d*x)^(1/2))/(a*b^3))*(c^5)^(1/2))/a)*(c^5)^(1/2))/a))*(c^5)^(1/2)*2i)/a + (2*d*(c + d*x)^(3/2))/(3*b) + (atan((((-b^5*(a*d - b*c)^5)^(1/2)*((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 + ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 + (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(-b^5*(a*d - b*c)^5)^(1/2)*(c + d*x)^(1/2))/(a*b^8)))/(a*b^5))*1i)/(a*b^5) + ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 - ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 - (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(-b^5*(a*d - b*c)^5)^(1/2)*(c + d*x)^(1/2))/(a*b^8)))/(a*b^5))*1i)/(a*b^5))/((16*(a^5*c^3*d^8 - 3*b^5*c^8*d^3 + 12*a*b^4*c^7*d^4 - 6*a^4*b*c^4*d^7 - 19*a^2*b^3*c^6*d^5 + 15*a^3*b^2*c^5*d^6))/b^3 - ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 + ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 + (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(-b^5*(a*d - b*c)^5)^(1/2)*(c + d*x)^(1/2))/(a*b^8)))/(a*b^5)))/(a*b^5) + ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(c + d*x)^(1/2)*(a^6*d^8 + 2*b^6*c^6*d^2 - 6*a*b^5*c^5*d^3 + 15*a^2*b^4*c^4*d^4 - 20*a^3*b^3*c^3*d^5 + 15*a^4*b^2*c^2*d^6 - 6*a^5*b*c*d^7))/b^3 - ((-b^5*(a*d - b*c)^5)^(1/2)*((8*(a^4*b^3*c*d^5 + 2*a^2*b^5*c^3*d^3 - 3*a^3*b^4*c^2*d^4))/b^3 - (8*(a^3*b^5*d^3 - 2*a^2*b^6*c*d^2)*(-b^5*(a*d - b*c)^5)^(1/2)*(c + d*x)^(1/2))/(a*b^8)))/(a*b^5)))/(a*b^5)))*(-b^5*(a*d - b*c)^5)^(1/2)*2i)/(a*b^5) - (2*d*(a*d - 2*b*c)*(c + d*x)^(1/2))/b^2","B"
460,1,1402,128,0.766282,"\text{Not used}","int((c + d*x)^(5/2)/(x^2*(a + b*x)),x)","\frac{2\,d^2\,\sqrt{c+d\,x}}{b}+\frac{b\,c^2\,d\,\sqrt{c+d\,x}}{a\,\left(b\,c-b\,\left(c+d\,x\right)\right)}-\frac{\mathrm{atan}\left(\frac{c^3\,d^5\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b^3\,d^5+5\,a^4\,b^4\,c\,d^4-10\,a^3\,b^5\,c^2\,d^3+10\,a^2\,b^6\,c^3\,d^2-5\,a\,b^7\,c^4\,d+b^8\,c^5}\,160{}\mathrm{i}}{740\,a\,b^3\,c^5\,d^6-340\,b^4\,c^6\,d^5-128\,a^4\,c^2\,d^9+448\,a^3\,b\,c^3\,d^8+\frac{16\,a^5\,c\,d^{10}}{b}-796\,a^2\,b^2\,c^4\,d^7+\frac{60\,b^5\,c^7\,d^4}{a}}-\frac{c^2\,d^6\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b^3\,d^5+5\,a^4\,b^4\,c\,d^4-10\,a^3\,b^5\,c^2\,d^3+10\,a^2\,b^6\,c^3\,d^2-5\,a\,b^7\,c^4\,d+b^8\,c^5}\,80{}\mathrm{i}}{16\,a^4\,c\,d^{10}+740\,b^4\,c^5\,d^6-796\,a\,b^3\,c^4\,d^7-128\,a^3\,b\,c^2\,d^9+448\,a^2\,b^2\,c^3\,d^8-\frac{340\,b^5\,c^6\,d^5}{a}+\frac{60\,b^6\,c^7\,d^4}{a^2}}-\frac{c^4\,d^4\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b^3\,d^5+5\,a^4\,b^4\,c\,d^4-10\,a^3\,b^5\,c^2\,d^3+10\,a^2\,b^6\,c^3\,d^2-5\,a\,b^7\,c^4\,d+b^8\,c^5}\,60{}\mathrm{i}}{448\,a^4\,c^3\,d^8+60\,b^4\,c^7\,d^4-340\,a\,b^3\,c^6\,d^5-796\,a^3\,b\,c^4\,d^7+\frac{16\,a^6\,c\,d^{10}}{b^2}+740\,a^2\,b^2\,c^5\,d^6-\frac{128\,a^5\,c^2\,d^9}{b}}+\frac{a\,c\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b^3\,d^5+5\,a^4\,b^4\,c\,d^4-10\,a^3\,b^5\,c^2\,d^3+10\,a^2\,b^6\,c^3\,d^2-5\,a\,b^7\,c^4\,d+b^8\,c^5}\,16{}\mathrm{i}}{740\,b^5\,c^5\,d^6-796\,a\,b^4\,c^4\,d^7+448\,a^2\,b^3\,c^3\,d^8-128\,a^3\,b^2\,c^2\,d^9-\frac{340\,b^6\,c^6\,d^5}{a}+\frac{60\,b^7\,c^7\,d^4}{a^2}+16\,a^4\,b\,c\,d^{10}}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^5}\,2{}\mathrm{i}}{a^2\,b^3}+\frac{\mathrm{atan}\left(\frac{a^3\,d^9\,\sqrt{c^3}\,\sqrt{c+d\,x}\,40{}\mathrm{i}}{40\,a^3\,c^2\,d^9-790\,b^3\,c^5\,d^6+696\,a\,b^2\,c^4\,d^7-256\,a^2\,b\,c^3\,d^8+\frac{370\,b^4\,c^6\,d^5}{a}-\frac{60\,b^5\,c^7\,d^4}{a^2}}+\frac{b^2\,c^3\,d^6\,\sqrt{c^3}\,\sqrt{c+d\,x}\,790{}\mathrm{i}}{256\,a^2\,c^3\,d^8+790\,b^2\,c^5\,d^6-\frac{370\,b^3\,c^6\,d^5}{a}-\frac{40\,a^3\,c^2\,d^9}{b}+\frac{60\,b^4\,c^7\,d^4}{a^2}-696\,a\,b\,c^4\,d^7}-\frac{b^3\,c^4\,d^5\,\sqrt{c^3}\,\sqrt{c+d\,x}\,370{}\mathrm{i}}{256\,a^3\,c^3\,d^8-370\,b^3\,c^6\,d^5+790\,a\,b^2\,c^5\,d^6-696\,a^2\,b\,c^4\,d^7+\frac{60\,b^4\,c^7\,d^4}{a}-\frac{40\,a^4\,c^2\,d^9}{b}}+\frac{b^4\,c^5\,d^4\,\sqrt{c^3}\,\sqrt{c+d\,x}\,60{}\mathrm{i}}{256\,a^4\,c^3\,d^8+60\,b^4\,c^7\,d^4-370\,a\,b^3\,c^6\,d^5-696\,a^3\,b\,c^4\,d^7+790\,a^2\,b^2\,c^5\,d^6-\frac{40\,a^5\,c^2\,d^9}{b}}+\frac{a^2\,c\,d^8\,\sqrt{c^3}\,\sqrt{c+d\,x}\,256{}\mathrm{i}}{256\,a^2\,c^3\,d^8+790\,b^2\,c^5\,d^6-\frac{370\,b^3\,c^6\,d^5}{a}-\frac{40\,a^3\,c^2\,d^9}{b}+\frac{60\,b^4\,c^7\,d^4}{a^2}-696\,a\,b\,c^4\,d^7}-\frac{a\,b\,c^2\,d^7\,\sqrt{c^3}\,\sqrt{c+d\,x}\,696{}\mathrm{i}}{256\,a^2\,c^3\,d^8+790\,b^2\,c^5\,d^6-\frac{370\,b^3\,c^6\,d^5}{a}-\frac{40\,a^3\,c^2\,d^9}{b}+\frac{60\,b^4\,c^7\,d^4}{a^2}-696\,a\,b\,c^4\,d^7}\right)\,\left(5\,a\,d-2\,b\,c\right)\,\sqrt{c^3}\,1{}\mathrm{i}}{a^2}","Not used",1,"(2*d^2*(c + d*x)^(1/2))/b - (atan((c^3*d^5*(c + d*x)^(1/2)*(b^8*c^5 - a^5*b^3*d^5 + 5*a^4*b^4*c*d^4 + 10*a^2*b^6*c^3*d^2 - 10*a^3*b^5*c^2*d^3 - 5*a*b^7*c^4*d)^(1/2)*160i)/(740*a*b^3*c^5*d^6 - 340*b^4*c^6*d^5 - 128*a^4*c^2*d^9 + 448*a^3*b*c^3*d^8 + (16*a^5*c*d^10)/b - 796*a^2*b^2*c^4*d^7 + (60*b^5*c^7*d^4)/a) - (c^2*d^6*(c + d*x)^(1/2)*(b^8*c^5 - a^5*b^3*d^5 + 5*a^4*b^4*c*d^4 + 10*a^2*b^6*c^3*d^2 - 10*a^3*b^5*c^2*d^3 - 5*a*b^7*c^4*d)^(1/2)*80i)/(16*a^4*c*d^10 + 740*b^4*c^5*d^6 - 796*a*b^3*c^4*d^7 - 128*a^3*b*c^2*d^9 + 448*a^2*b^2*c^3*d^8 - (340*b^5*c^6*d^5)/a + (60*b^6*c^7*d^4)/a^2) - (c^4*d^4*(c + d*x)^(1/2)*(b^8*c^5 - a^5*b^3*d^5 + 5*a^4*b^4*c*d^4 + 10*a^2*b^6*c^3*d^2 - 10*a^3*b^5*c^2*d^3 - 5*a*b^7*c^4*d)^(1/2)*60i)/(448*a^4*c^3*d^8 + 60*b^4*c^7*d^4 - 340*a*b^3*c^6*d^5 - 796*a^3*b*c^4*d^7 + (16*a^6*c*d^10)/b^2 + 740*a^2*b^2*c^5*d^6 - (128*a^5*c^2*d^9)/b) + (a*c*d^7*(c + d*x)^(1/2)*(b^8*c^5 - a^5*b^3*d^5 + 5*a^4*b^4*c*d^4 + 10*a^2*b^6*c^3*d^2 - 10*a^3*b^5*c^2*d^3 - 5*a*b^7*c^4*d)^(1/2)*16i)/(740*b^5*c^5*d^6 - 796*a*b^4*c^4*d^7 + 448*a^2*b^3*c^3*d^8 - 128*a^3*b^2*c^2*d^9 - (340*b^6*c^6*d^5)/a + (60*b^7*c^7*d^4)/a^2 + 16*a^4*b*c*d^10))*(-b^3*(a*d - b*c)^5)^(1/2)*2i)/(a^2*b^3) + (atan((a^3*d^9*(c^3)^(1/2)*(c + d*x)^(1/2)*40i)/(40*a^3*c^2*d^9 - 790*b^3*c^5*d^6 + 696*a*b^2*c^4*d^7 - 256*a^2*b*c^3*d^8 + (370*b^4*c^6*d^5)/a - (60*b^5*c^7*d^4)/a^2) + (b^2*c^3*d^6*(c^3)^(1/2)*(c + d*x)^(1/2)*790i)/(256*a^2*c^3*d^8 + 790*b^2*c^5*d^6 - (370*b^3*c^6*d^5)/a - (40*a^3*c^2*d^9)/b + (60*b^4*c^7*d^4)/a^2 - 696*a*b*c^4*d^7) - (b^3*c^4*d^5*(c^3)^(1/2)*(c + d*x)^(1/2)*370i)/(256*a^3*c^3*d^8 - 370*b^3*c^6*d^5 + 790*a*b^2*c^5*d^6 - 696*a^2*b*c^4*d^7 + (60*b^4*c^7*d^4)/a - (40*a^4*c^2*d^9)/b) + (b^4*c^5*d^4*(c^3)^(1/2)*(c + d*x)^(1/2)*60i)/(256*a^4*c^3*d^8 + 60*b^4*c^7*d^4 - 370*a*b^3*c^6*d^5 - 696*a^3*b*c^4*d^7 + 790*a^2*b^2*c^5*d^6 - (40*a^5*c^2*d^9)/b) + (a^2*c*d^8*(c^3)^(1/2)*(c + d*x)^(1/2)*256i)/(256*a^2*c^3*d^8 + 790*b^2*c^5*d^6 - (370*b^3*c^6*d^5)/a - (40*a^3*c^2*d^9)/b + (60*b^4*c^7*d^4)/a^2 - 696*a*b*c^4*d^7) - (a*b*c^2*d^7*(c^3)^(1/2)*(c + d*x)^(1/2)*696i)/(256*a^2*c^3*d^8 + 790*b^2*c^5*d^6 - (370*b^3*c^6*d^5)/a - (40*a^3*c^2*d^9)/b + (60*b^4*c^7*d^4)/a^2 - 696*a*b*c^4*d^7))*(5*a*d - 2*b*c)*(c^3)^(1/2)*1i)/a^2 + (b*c^2*d*(c + d*x)^(1/2))/(a*(b*c - b*(c + d*x)))","B"
461,1,1204,151,0.766379,"\text{Not used}","int((c + d*x)^(5/2)/(x^3*(a + b*x)),x)","\frac{\frac{\left(7\,a\,c^2\,d^2-4\,b\,c^3\,d\right)\,\sqrt{c+d\,x}}{4\,a^2}-\frac{\left(9\,a\,c\,d^2-4\,b\,c^2\,d\right)\,{\left(c+d\,x\right)}^{3/2}}{4\,a^2}}{{\left(c+d\,x\right)}^2-2\,c\,\left(c+d\,x\right)+c^2}+\frac{2\,\mathrm{atanh}\left(\frac{95\,b^2\,c^2\,d^6\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b\,d^5+5\,a^4\,b^2\,c\,d^4-10\,a^3\,b^3\,c^2\,d^3+10\,a^2\,b^4\,c^3\,d^2-5\,a\,b^5\,c^4\,d+b^6\,c^5}}{4\,\left(\frac{215\,b^5\,c^5\,d^6}{4}-\frac{469\,a\,b^4\,c^4\,d^7}{4}+\frac{517\,a^2\,b^3\,c^3\,d^8}{4}-\frac{287\,a^3\,b^2\,c^2\,d^9}{4}-\frac{10\,b^6\,c^6\,d^5}{a}+16\,a^4\,b\,c\,d^{10}\right)}+\frac{10\,b^3\,c^3\,d^5\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b\,d^5+5\,a^4\,b^2\,c\,d^4-10\,a^3\,b^3\,c^2\,d^3+10\,a^2\,b^4\,c^3\,d^2-5\,a\,b^5\,c^4\,d+b^6\,c^5}}{-16\,a^5\,b\,c\,d^{10}+\frac{287\,a^4\,b^2\,c^2\,d^9}{4}-\frac{517\,a^3\,b^3\,c^3\,d^8}{4}+\frac{469\,a^2\,b^4\,c^4\,d^7}{4}-\frac{215\,a\,b^5\,c^5\,d^6}{4}+10\,b^6\,c^6\,d^5}+\frac{16\,b\,c\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b\,d^5+5\,a^4\,b^2\,c\,d^4-10\,a^3\,b^3\,c^2\,d^3+10\,a^2\,b^4\,c^3\,d^2-5\,a\,b^5\,c^4\,d+b^6\,c^5}}{\frac{469\,b^4\,c^4\,d^7}{4}-\frac{517\,a\,b^3\,c^3\,d^8}{4}+\frac{287\,a^2\,b^2\,c^2\,d^9}{4}-\frac{215\,b^5\,c^5\,d^6}{4\,a}+\frac{10\,b^6\,c^6\,d^5}{a^2}-16\,a^3\,b\,c\,d^{10}}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^5}}{a^3\,b}-\frac{\sqrt{c}\,\mathrm{atanh}\left(\frac{3665\,b^2\,c^{3/2}\,d^9\,\sqrt{c+d\,x}}{32\,\left(\frac{3665\,b^2\,c^2\,d^9}{32}-30\,a\,b\,c\,d^{10}-\frac{5717\,b^3\,c^3\,d^8}{32\,a}+\frac{1143\,b^4\,c^4\,d^7}{8\,a^2}-\frac{235\,b^5\,c^5\,d^6}{4\,a^3}+\frac{10\,b^6\,c^6\,d^5}{a^4}\right)}+\frac{5717\,b^3\,c^{5/2}\,d^8\,\sqrt{c+d\,x}}{32\,\left(\frac{5717\,b^3\,c^3\,d^8}{32}-\frac{3665\,a\,b^2\,c^2\,d^9}{32}-\frac{1143\,b^4\,c^4\,d^7}{8\,a}+\frac{235\,b^5\,c^5\,d^6}{4\,a^2}-\frac{10\,b^6\,c^6\,d^5}{a^3}+30\,a^2\,b\,c\,d^{10}\right)}+\frac{1143\,b^4\,c^{7/2}\,d^7\,\sqrt{c+d\,x}}{8\,\left(\frac{1143\,b^4\,c^4\,d^7}{8}-\frac{5717\,a\,b^3\,c^3\,d^8}{32}+\frac{3665\,a^2\,b^2\,c^2\,d^9}{32}-\frac{235\,b^5\,c^5\,d^6}{4\,a}+\frac{10\,b^6\,c^6\,d^5}{a^2}-30\,a^3\,b\,c\,d^{10}\right)}+\frac{235\,b^5\,c^{9/2}\,d^6\,\sqrt{c+d\,x}}{4\,\left(\frac{235\,b^5\,c^5\,d^6}{4}-\frac{1143\,a\,b^4\,c^4\,d^7}{8}+\frac{5717\,a^2\,b^3\,c^3\,d^8}{32}-\frac{3665\,a^3\,b^2\,c^2\,d^9}{32}-\frac{10\,b^6\,c^6\,d^5}{a}+30\,a^4\,b\,c\,d^{10}\right)}+\frac{10\,b^6\,c^{11/2}\,d^5\,\sqrt{c+d\,x}}{-30\,a^5\,b\,c\,d^{10}+\frac{3665\,a^4\,b^2\,c^2\,d^9}{32}-\frac{5717\,a^3\,b^3\,c^3\,d^8}{32}+\frac{1143\,a^2\,b^4\,c^4\,d^7}{8}-\frac{235\,a\,b^5\,c^5\,d^6}{4}+10\,b^6\,c^6\,d^5}-\frac{30\,a\,b\,\sqrt{c}\,d^{10}\,\sqrt{c+d\,x}}{\frac{3665\,b^2\,c^2\,d^9}{32}-30\,a\,b\,c\,d^{10}-\frac{5717\,b^3\,c^3\,d^8}{32\,a}+\frac{1143\,b^4\,c^4\,d^7}{8\,a^2}-\frac{235\,b^5\,c^5\,d^6}{4\,a^3}+\frac{10\,b^6\,c^6\,d^5}{a^4}}\right)\,\left(15\,a^2\,d^2-20\,a\,b\,c\,d+8\,b^2\,c^2\right)}{4\,a^3}","Not used",1,"(((7*a*c^2*d^2 - 4*b*c^3*d)*(c + d*x)^(1/2))/(4*a^2) - ((9*a*c*d^2 - 4*b*c^2*d)*(c + d*x)^(3/2))/(4*a^2))/((c + d*x)^2 - 2*c*(c + d*x) + c^2) + (2*atanh((95*b^2*c^2*d^6*(c + d*x)^(1/2)*(b^6*c^5 - a^5*b*d^5 + 5*a^4*b^2*c*d^4 + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 - 5*a*b^5*c^4*d)^(1/2))/(4*((215*b^5*c^5*d^6)/4 - (469*a*b^4*c^4*d^7)/4 + (517*a^2*b^3*c^3*d^8)/4 - (287*a^3*b^2*c^2*d^9)/4 - (10*b^6*c^6*d^5)/a + 16*a^4*b*c*d^10)) + (10*b^3*c^3*d^5*(c + d*x)^(1/2)*(b^6*c^5 - a^5*b*d^5 + 5*a^4*b^2*c*d^4 + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 - 5*a*b^5*c^4*d)^(1/2))/(10*b^6*c^6*d^5 - (215*a*b^5*c^5*d^6)/4 + (469*a^2*b^4*c^4*d^7)/4 - (517*a^3*b^3*c^3*d^8)/4 + (287*a^4*b^2*c^2*d^9)/4 - 16*a^5*b*c*d^10) + (16*b*c*d^7*(c + d*x)^(1/2)*(b^6*c^5 - a^5*b*d^5 + 5*a^4*b^2*c*d^4 + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 - 5*a*b^5*c^4*d)^(1/2))/((469*b^4*c^4*d^7)/4 - (517*a*b^3*c^3*d^8)/4 + (287*a^2*b^2*c^2*d^9)/4 - (215*b^5*c^5*d^6)/(4*a) + (10*b^6*c^6*d^5)/a^2 - 16*a^3*b*c*d^10))*(-b*(a*d - b*c)^5)^(1/2))/(a^3*b) - (c^(1/2)*atanh((3665*b^2*c^(3/2)*d^9*(c + d*x)^(1/2))/(32*((3665*b^2*c^2*d^9)/32 - 30*a*b*c*d^10 - (5717*b^3*c^3*d^8)/(32*a) + (1143*b^4*c^4*d^7)/(8*a^2) - (235*b^5*c^5*d^6)/(4*a^3) + (10*b^6*c^6*d^5)/a^4)) + (5717*b^3*c^(5/2)*d^8*(c + d*x)^(1/2))/(32*((5717*b^3*c^3*d^8)/32 - (3665*a*b^2*c^2*d^9)/32 - (1143*b^4*c^4*d^7)/(8*a) + (235*b^5*c^5*d^6)/(4*a^2) - (10*b^6*c^6*d^5)/a^3 + 30*a^2*b*c*d^10)) + (1143*b^4*c^(7/2)*d^7*(c + d*x)^(1/2))/(8*((1143*b^4*c^4*d^7)/8 - (5717*a*b^3*c^3*d^8)/32 + (3665*a^2*b^2*c^2*d^9)/32 - (235*b^5*c^5*d^6)/(4*a) + (10*b^6*c^6*d^5)/a^2 - 30*a^3*b*c*d^10)) + (235*b^5*c^(9/2)*d^6*(c + d*x)^(1/2))/(4*((235*b^5*c^5*d^6)/4 - (1143*a*b^4*c^4*d^7)/8 + (5717*a^2*b^3*c^3*d^8)/32 - (3665*a^3*b^2*c^2*d^9)/32 - (10*b^6*c^6*d^5)/a + 30*a^4*b*c*d^10)) + (10*b^6*c^(11/2)*d^5*(c + d*x)^(1/2))/(10*b^6*c^6*d^5 - (235*a*b^5*c^5*d^6)/4 + (1143*a^2*b^4*c^4*d^7)/8 - (5717*a^3*b^3*c^3*d^8)/32 + (3665*a^4*b^2*c^2*d^9)/32 - 30*a^5*b*c*d^10) - (30*a*b*c^(1/2)*d^10*(c + d*x)^(1/2))/((3665*b^2*c^2*d^9)/32 - 30*a*b*c*d^10 - (5717*b^3*c^3*d^8)/(32*a) + (1143*b^4*c^4*d^7)/(8*a^2) - (235*b^5*c^5*d^6)/(4*a^3) + (10*b^6*c^6*d^5)/a^4))*(15*a^2*d^2 + 8*b^2*c^2 - 20*a*b*c*d))/(4*a^3)","B"
462,1,2147,207,0.939862,"\text{Not used}","int((c + d*x)^(5/2)/(x^4*(a + b*x)),x)","\frac{\frac{\sqrt{c+d\,x}\,\left(5\,a^2\,c^2\,d^3-14\,a\,b\,c^3\,d^2+8\,b^2\,c^4\,d\right)}{8\,a^3}-\frac{{\left(c+d\,x\right)}^{3/2}\,\left(5\,a^2\,c\,d^3-12\,a\,b\,c^2\,d^2+6\,b^2\,c^3\,d\right)}{3\,a^3}+\frac{d\,{\left(c+d\,x\right)}^{5/2}\,\left(11\,a^2\,d^2-18\,a\,b\,c\,d+8\,b^2\,c^2\right)}{8\,a^3}}{3\,c\,{\left(c+d\,x\right)}^2-3\,c^2\,\left(c+d\,x\right)-{\left(c+d\,x\right)}^3+c^3}+\frac{2\,\mathrm{atanh}\left(\frac{25\,b^3\,d^8\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b\,d^5+5\,a^4\,b^2\,c\,d^4-10\,a^3\,b^3\,c^2\,d^3+10\,a^2\,b^4\,c^3\,d^2-5\,a\,b^5\,c^4\,d+b^6\,c^5}}{16\,\left(\frac{25\,a^3\,b^3\,d^{11}}{16}-\frac{217\,b^6\,c^3\,d^8}{16}+\frac{227\,a\,b^5\,c^2\,d^9}{16}-\frac{119\,a^2\,b^4\,c\,d^{10}}{16}+\frac{13\,b^7\,c^4\,d^7}{2\,a}-\frac{5\,b^8\,c^5\,d^6}{4\,a^2}\right)}+\frac{5\,b^5\,c^2\,d^6\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b\,d^5+5\,a^4\,b^2\,c\,d^4-10\,a^3\,b^3\,c^2\,d^3+10\,a^2\,b^4\,c^3\,d^2-5\,a\,b^5\,c^4\,d+b^6\,c^5}}{4\,\left(\frac{25\,a^5\,b^3\,d^{11}}{16}-\frac{119\,a^4\,b^4\,c\,d^{10}}{16}+\frac{227\,a^3\,b^5\,c^2\,d^9}{16}-\frac{217\,a^2\,b^6\,c^3\,d^8}{16}+\frac{13\,a\,b^7\,c^4\,d^7}{2}-\frac{5\,b^8\,c^5\,d^6}{4}\right)}-\frac{11\,b^4\,c\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^5\,b\,d^5+5\,a^4\,b^2\,c\,d^4-10\,a^3\,b^3\,c^2\,d^3+10\,a^2\,b^4\,c^3\,d^2-5\,a\,b^5\,c^4\,d+b^6\,c^5}}{4\,\left(\frac{25\,a^4\,b^3\,d^{11}}{16}+\frac{13\,b^7\,c^4\,d^7}{2}-\frac{217\,a\,b^6\,c^3\,d^8}{16}-\frac{119\,a^3\,b^4\,c\,d^{10}}{16}+\frac{227\,a^2\,b^5\,c^2\,d^9}{16}-\frac{5\,b^8\,c^5\,d^6}{4\,a}\right)}\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^5}}{a^4}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{c+d\,x}\,\left(281\,a^6\,b^3\,d^8-1836\,a^5\,b^4\,c\,d^7+5140\,a^4\,b^5\,c^2\,d^6-7680\,a^3\,b^6\,c^3\,d^5+6400\,a^2\,b^7\,c^4\,d^4-2816\,a\,b^8\,c^5\,d^3+512\,b^9\,c^6\,d^2\right)}{32\,a^6}-\frac{\left(\frac{80\,a^{11}\,b^2\,d^6-304\,a^{10}\,b^3\,c\,d^5+352\,a^9\,b^4\,c^2\,d^4-128\,a^8\,b^5\,c^3\,d^3}{32\,a^9}-\frac{\left(256\,a^9\,b^2\,d^3-512\,a^8\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{512\,a^{10}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{16\,a^4\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)\,1{}\mathrm{i}}{16\,a^4\,\sqrt{c}}+\frac{\left(\frac{\sqrt{c+d\,x}\,\left(281\,a^6\,b^3\,d^8-1836\,a^5\,b^4\,c\,d^7+5140\,a^4\,b^5\,c^2\,d^6-7680\,a^3\,b^6\,c^3\,d^5+6400\,a^2\,b^7\,c^4\,d^4-2816\,a\,b^8\,c^5\,d^3+512\,b^9\,c^6\,d^2\right)}{32\,a^6}+\frac{\left(\frac{80\,a^{11}\,b^2\,d^6-304\,a^{10}\,b^3\,c\,d^5+352\,a^9\,b^4\,c^2\,d^4-128\,a^8\,b^5\,c^3\,d^3}{32\,a^9}+\frac{\left(256\,a^9\,b^2\,d^3-512\,a^8\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{512\,a^{10}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{16\,a^4\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)\,1{}\mathrm{i}}{16\,a^4\,\sqrt{c}}}{\frac{55\,a^8\,b^3\,d^{11}-585\,a^7\,b^4\,c\,d^{10}+2445\,a^6\,b^5\,c^2\,d^9-5511\,a^5\,b^6\,c^3\,d^8+7496\,a^4\,b^7\,c^4\,d^7-6380\,a^3\,b^8\,c^5\,d^6+3344\,a^2\,b^9\,c^6\,d^5-992\,a\,b^{10}\,c^7\,d^4+128\,b^{11}\,c^8\,d^3}{16\,a^9}-\frac{\left(\frac{\sqrt{c+d\,x}\,\left(281\,a^6\,b^3\,d^8-1836\,a^5\,b^4\,c\,d^7+5140\,a^4\,b^5\,c^2\,d^6-7680\,a^3\,b^6\,c^3\,d^5+6400\,a^2\,b^7\,c^4\,d^4-2816\,a\,b^8\,c^5\,d^3+512\,b^9\,c^6\,d^2\right)}{32\,a^6}-\frac{\left(\frac{80\,a^{11}\,b^2\,d^6-304\,a^{10}\,b^3\,c\,d^5+352\,a^9\,b^4\,c^2\,d^4-128\,a^8\,b^5\,c^3\,d^3}{32\,a^9}-\frac{\left(256\,a^9\,b^2\,d^3-512\,a^8\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{512\,a^{10}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{16\,a^4\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{16\,a^4\,\sqrt{c}}+\frac{\left(\frac{\sqrt{c+d\,x}\,\left(281\,a^6\,b^3\,d^8-1836\,a^5\,b^4\,c\,d^7+5140\,a^4\,b^5\,c^2\,d^6-7680\,a^3\,b^6\,c^3\,d^5+6400\,a^2\,b^7\,c^4\,d^4-2816\,a\,b^8\,c^5\,d^3+512\,b^9\,c^6\,d^2\right)}{32\,a^6}+\frac{\left(\frac{80\,a^{11}\,b^2\,d^6-304\,a^{10}\,b^3\,c\,d^5+352\,a^9\,b^4\,c^2\,d^4-128\,a^8\,b^5\,c^3\,d^3}{32\,a^9}+\frac{\left(256\,a^9\,b^2\,d^3-512\,a^8\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{512\,a^{10}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{16\,a^4\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)}{16\,a^4\,\sqrt{c}}}\right)\,\left(5\,a^3\,d^3-30\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d-16\,b^3\,c^3\right)\,1{}\mathrm{i}}{8\,a^4\,\sqrt{c}}","Not used",1,"(((c + d*x)^(1/2)*(8*b^2*c^4*d + 5*a^2*c^2*d^3 - 14*a*b*c^3*d^2))/(8*a^3) - ((c + d*x)^(3/2)*(5*a^2*c*d^3 + 6*b^2*c^3*d - 12*a*b*c^2*d^2))/(3*a^3) + (d*(c + d*x)^(5/2)*(11*a^2*d^2 + 8*b^2*c^2 - 18*a*b*c*d))/(8*a^3))/(3*c*(c + d*x)^2 - 3*c^2*(c + d*x) - (c + d*x)^3 + c^3) + (2*atanh((25*b^3*d^8*(c + d*x)^(1/2)*(b^6*c^5 - a^5*b*d^5 + 5*a^4*b^2*c*d^4 + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 - 5*a*b^5*c^4*d)^(1/2))/(16*((25*a^3*b^3*d^11)/16 - (217*b^6*c^3*d^8)/16 + (227*a*b^5*c^2*d^9)/16 - (119*a^2*b^4*c*d^10)/16 + (13*b^7*c^4*d^7)/(2*a) - (5*b^8*c^5*d^6)/(4*a^2))) + (5*b^5*c^2*d^6*(c + d*x)^(1/2)*(b^6*c^5 - a^5*b*d^5 + 5*a^4*b^2*c*d^4 + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 - 5*a*b^5*c^4*d)^(1/2))/(4*((25*a^5*b^3*d^11)/16 - (5*b^8*c^5*d^6)/4 + (13*a*b^7*c^4*d^7)/2 - (119*a^4*b^4*c*d^10)/16 - (217*a^2*b^6*c^3*d^8)/16 + (227*a^3*b^5*c^2*d^9)/16)) - (11*b^4*c*d^7*(c + d*x)^(1/2)*(b^6*c^5 - a^5*b*d^5 + 5*a^4*b^2*c*d^4 + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 - 5*a*b^5*c^4*d)^(1/2))/(4*((25*a^4*b^3*d^11)/16 + (13*b^7*c^4*d^7)/2 - (217*a*b^6*c^3*d^8)/16 - (119*a^3*b^4*c*d^10)/16 + (227*a^2*b^5*c^2*d^9)/16 - (5*b^8*c^5*d^6)/(4*a))))*(-b*(a*d - b*c)^5)^(1/2))/a^4 + (atan((((((c + d*x)^(1/2)*(281*a^6*b^3*d^8 + 512*b^9*c^6*d^2 - 2816*a*b^8*c^5*d^3 - 1836*a^5*b^4*c*d^7 + 6400*a^2*b^7*c^4*d^4 - 7680*a^3*b^6*c^3*d^5 + 5140*a^4*b^5*c^2*d^6))/(32*a^6) - (((80*a^11*b^2*d^6 - 304*a^10*b^3*c*d^5 - 128*a^8*b^5*c^3*d^3 + 352*a^9*b^4*c^2*d^4)/(32*a^9) - ((256*a^9*b^2*d^3 - 512*a^8*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(512*a^10*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(16*a^4*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2)*1i)/(16*a^4*c^(1/2)) + ((((c + d*x)^(1/2)*(281*a^6*b^3*d^8 + 512*b^9*c^6*d^2 - 2816*a*b^8*c^5*d^3 - 1836*a^5*b^4*c*d^7 + 6400*a^2*b^7*c^4*d^4 - 7680*a^3*b^6*c^3*d^5 + 5140*a^4*b^5*c^2*d^6))/(32*a^6) + (((80*a^11*b^2*d^6 - 304*a^10*b^3*c*d^5 - 128*a^8*b^5*c^3*d^3 + 352*a^9*b^4*c^2*d^4)/(32*a^9) + ((256*a^9*b^2*d^3 - 512*a^8*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(512*a^10*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(16*a^4*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2)*1i)/(16*a^4*c^(1/2)))/((55*a^8*b^3*d^11 + 128*b^11*c^8*d^3 - 992*a*b^10*c^7*d^4 - 585*a^7*b^4*c*d^10 + 3344*a^2*b^9*c^6*d^5 - 6380*a^3*b^8*c^5*d^6 + 7496*a^4*b^7*c^4*d^7 - 5511*a^5*b^6*c^3*d^8 + 2445*a^6*b^5*c^2*d^9)/(16*a^9) - ((((c + d*x)^(1/2)*(281*a^6*b^3*d^8 + 512*b^9*c^6*d^2 - 2816*a*b^8*c^5*d^3 - 1836*a^5*b^4*c*d^7 + 6400*a^2*b^7*c^4*d^4 - 7680*a^3*b^6*c^3*d^5 + 5140*a^4*b^5*c^2*d^6))/(32*a^6) - (((80*a^11*b^2*d^6 - 304*a^10*b^3*c*d^5 - 128*a^8*b^5*c^3*d^3 + 352*a^9*b^4*c^2*d^4)/(32*a^9) - ((256*a^9*b^2*d^3 - 512*a^8*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(512*a^10*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(16*a^4*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(16*a^4*c^(1/2)) + ((((c + d*x)^(1/2)*(281*a^6*b^3*d^8 + 512*b^9*c^6*d^2 - 2816*a*b^8*c^5*d^3 - 1836*a^5*b^4*c*d^7 + 6400*a^2*b^7*c^4*d^4 - 7680*a^3*b^6*c^3*d^5 + 5140*a^4*b^5*c^2*d^6))/(32*a^6) + (((80*a^11*b^2*d^6 - 304*a^10*b^3*c*d^5 - 128*a^8*b^5*c^3*d^3 + 352*a^9*b^4*c^2*d^4)/(32*a^9) + ((256*a^9*b^2*d^3 - 512*a^8*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(512*a^10*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(16*a^4*c^(1/2)))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2))/(16*a^4*c^(1/2))))*(5*a^3*d^3 - 16*b^3*c^3 + 40*a*b^2*c^2*d - 30*a^2*b*c*d^2)*1i)/(8*a^4*c^(1/2))","B"
463,0,-1,199,0.000000,"\text{Not used}","int(1/(x^(1/3)*(4*c + d*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{x^{1/3}\,\left(4\,c+d\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/(x^(1/3)*(4*c + d*x)*(c + d*x)^(1/2)), x)","F"
464,0,-1,143,0.000000,"\text{Not used}","int(1/(x^(1/3)*(8*c - d*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{x^{1/3}\,\left(8\,c-d\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/(x^(1/3)*(8*c - d*x)*(c + d*x)^(1/2)), x)","F"
465,1,1175,140,0.813521,"\text{Not used}","int((c + d*x)^(1/2)/(x^2*(a + b*x)^2),x)","-\frac{\frac{2\,b\,d\,{\left(c+d\,x\right)}^{3/2}}{a^2}+\frac{d\,\left(a\,d-2\,b\,c\right)\,\sqrt{c+d\,x}}{a^2}}{\left(a\,d-2\,b\,c\right)\,\left(c+d\,x\right)+b\,{\left(c+d\,x\right)}^2+b\,c^2-a\,c\,d}-\frac{\mathrm{atanh}\left(\frac{8\,b^3\,d^5\,\sqrt{c+d\,x}}{\sqrt{c}\,\left(8\,b^3\,d^5-\frac{2\,a\,b^2\,d^6}{c}\right)}-\frac{2\,b^2\,d^6\,\sqrt{c+d\,x}}{c^{3/2}\,\left(\frac{8\,b^3\,d^5}{a}-\frac{2\,b^2\,d^6}{c}\right)}\right)\,\left(a\,d-4\,b\,c\right)}{a^3\,\sqrt{c}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{4\,\sqrt{c+d\,x}\,\left(5\,a^2\,b^3\,d^4-16\,a\,b^4\,c\,d^3+16\,b^5\,c^2\,d^2\right)}{a^4}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{2\,\left(2\,a^7\,b^2\,d^4-4\,a^6\,b^3\,c\,d^3\right)}{a^6}-\frac{2\,\left(2\,a^7\,b^2\,d^3-4\,a^6\,b^3\,c\,d^2\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}}{a^4\,\left(a^4\,d-a^3\,b\,c\right)}\right)}{2\,\left(a^4\,d-a^3\,b\,c\right)}\right)\,1{}\mathrm{i}}{2\,\left(a^4\,d-a^3\,b\,c\right)}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{4\,\sqrt{c+d\,x}\,\left(5\,a^2\,b^3\,d^4-16\,a\,b^4\,c\,d^3+16\,b^5\,c^2\,d^2\right)}{a^4}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{2\,\left(2\,a^7\,b^2\,d^4-4\,a^6\,b^3\,c\,d^3\right)}{a^6}+\frac{2\,\left(2\,a^7\,b^2\,d^3-4\,a^6\,b^3\,c\,d^2\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}}{a^4\,\left(a^4\,d-a^3\,b\,c\right)}\right)}{2\,\left(a^4\,d-a^3\,b\,c\right)}\right)\,1{}\mathrm{i}}{2\,\left(a^4\,d-a^3\,b\,c\right)}}{\frac{4\,\left(3\,a^2\,b^3\,d^5-16\,a\,b^4\,c\,d^4+16\,b^5\,c^2\,d^3\right)}{a^6}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{4\,\sqrt{c+d\,x}\,\left(5\,a^2\,b^3\,d^4-16\,a\,b^4\,c\,d^3+16\,b^5\,c^2\,d^2\right)}{a^4}-\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{2\,\left(2\,a^7\,b^2\,d^4-4\,a^6\,b^3\,c\,d^3\right)}{a^6}-\frac{2\,\left(2\,a^7\,b^2\,d^3-4\,a^6\,b^3\,c\,d^2\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}}{a^4\,\left(a^4\,d-a^3\,b\,c\right)}\right)}{2\,\left(a^4\,d-a^3\,b\,c\right)}\right)}{2\,\left(a^4\,d-a^3\,b\,c\right)}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{4\,\sqrt{c+d\,x}\,\left(5\,a^2\,b^3\,d^4-16\,a\,b^4\,c\,d^3+16\,b^5\,c^2\,d^2\right)}{a^4}+\frac{\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\left(\frac{2\,\left(2\,a^7\,b^2\,d^4-4\,a^6\,b^3\,c\,d^3\right)}{a^6}+\frac{2\,\left(2\,a^7\,b^2\,d^3-4\,a^6\,b^3\,c\,d^2\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}}{a^4\,\left(a^4\,d-a^3\,b\,c\right)}\right)}{2\,\left(a^4\,d-a^3\,b\,c\right)}\right)}{2\,\left(a^4\,d-a^3\,b\,c\right)}}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(3\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{a^4\,d-a^3\,b\,c}","Not used",1,"(atan((((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((4*(c + d*x)^(1/2)*(5*a^2*b^3*d^4 + 16*b^5*c^2*d^2 - 16*a*b^4*c*d^3))/a^4 - ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((2*(2*a^7*b^2*d^4 - 4*a^6*b^3*c*d^3))/a^6 - (2*(2*a^7*b^2*d^3 - 4*a^6*b^3*c*d^2)*(-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*(c + d*x)^(1/2))/(a^4*(a^4*d - a^3*b*c))))/(2*(a^4*d - a^3*b*c)))*1i)/(2*(a^4*d - a^3*b*c)) + ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((4*(c + d*x)^(1/2)*(5*a^2*b^3*d^4 + 16*b^5*c^2*d^2 - 16*a*b^4*c*d^3))/a^4 + ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((2*(2*a^7*b^2*d^4 - 4*a^6*b^3*c*d^3))/a^6 + (2*(2*a^7*b^2*d^3 - 4*a^6*b^3*c*d^2)*(-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*(c + d*x)^(1/2))/(a^4*(a^4*d - a^3*b*c))))/(2*(a^4*d - a^3*b*c)))*1i)/(2*(a^4*d - a^3*b*c)))/((4*(3*a^2*b^3*d^5 + 16*b^5*c^2*d^3 - 16*a*b^4*c*d^4))/a^6 - ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((4*(c + d*x)^(1/2)*(5*a^2*b^3*d^4 + 16*b^5*c^2*d^2 - 16*a*b^4*c*d^3))/a^4 - ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((2*(2*a^7*b^2*d^4 - 4*a^6*b^3*c*d^3))/a^6 - (2*(2*a^7*b^2*d^3 - 4*a^6*b^3*c*d^2)*(-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*(c + d*x)^(1/2))/(a^4*(a^4*d - a^3*b*c))))/(2*(a^4*d - a^3*b*c))))/(2*(a^4*d - a^3*b*c)) + ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((4*(c + d*x)^(1/2)*(5*a^2*b^3*d^4 + 16*b^5*c^2*d^2 - 16*a*b^4*c*d^3))/a^4 + ((-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*((2*(2*a^7*b^2*d^4 - 4*a^6*b^3*c*d^3))/a^6 + (2*(2*a^7*b^2*d^3 - 4*a^6*b^3*c*d^2)*(-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*(c + d*x)^(1/2))/(a^4*(a^4*d - a^3*b*c))))/(2*(a^4*d - a^3*b*c))))/(2*(a^4*d - a^3*b*c))))*(-b*(a*d - b*c))^(1/2)*(3*a*d - 4*b*c)*1i)/(a^4*d - a^3*b*c) - (atanh((8*b^3*d^5*(c + d*x)^(1/2))/(c^(1/2)*(8*b^3*d^5 - (2*a*b^2*d^6)/c)) - (2*b^2*d^6*(c + d*x)^(1/2))/(c^(3/2)*((8*b^3*d^5)/a - (2*b^2*d^6)/c)))*(a*d - 4*b*c))/(a^3*c^(1/2)) - ((2*b*d*(c + d*x)^(3/2))/a^2 + (d*(a*d - 2*b*c)*(c + d*x)^(1/2))/a^2)/((a*d - 2*b*c)*(c + d*x) + b*(c + d*x)^2 + b*c^2 - a*c*d)","B"
466,1,482,115,0.598848,"\text{Not used}","int((c + d*x)^(3/2)/(x*(a + b*x)^2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{4\,d^6\,\sqrt{c^3}\,\sqrt{c+d\,x}}{4\,c^2\,d^6+\frac{8\,b\,c^3\,d^5}{a}-\frac{12\,b^2\,c^4\,d^4}{a^2}}+\frac{8\,c\,d^5\,\sqrt{c^3}\,\sqrt{c+d\,x}}{8\,c^3\,d^5+\frac{4\,a\,c^2\,d^6}{b}-\frac{12\,b\,c^4\,d^4}{a}}-\frac{12\,b\,c^2\,d^4\,\sqrt{c^3}\,\sqrt{c+d\,x}}{8\,a\,c^3\,d^5-12\,b\,c^4\,d^4+\frac{4\,a^2\,c^2\,d^6}{b}}\right)\,\sqrt{c^3}}{a^2}-\frac{\mathrm{atanh}\left(\frac{10\,c^2\,d^5\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,x}}{2\,a^2\,c\,d^7+2\,b^2\,c^3\,d^5-\frac{12\,b^3\,c^4\,d^4}{a}+8\,a\,b\,c^2\,d^6}+\frac{12\,c^3\,d^4\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,x}}{8\,a^2\,c^2\,d^6-12\,b^2\,c^4\,d^4+\frac{2\,a^3\,c\,d^7}{b}+2\,a\,b\,c^3\,d^5}+\frac{2\,c\,d^6\,\sqrt{b^4\,c-a\,b^3\,d}\,\sqrt{c+d\,x}}{8\,b^2\,c^2\,d^6+2\,a\,b\,c\,d^7+\frac{2\,b^3\,c^3\,d^5}{a}-\frac{12\,b^4\,c^4\,d^4}{a^2}}\right)\,\left(a\,d+2\,b\,c\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}}{a^2\,b^3}-\frac{d\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{a\,b\,\left(a\,d-b\,c+b\,\left(c+d\,x\right)\right)}","Not used",1,"- (2*atanh((4*d^6*(c^3)^(1/2)*(c + d*x)^(1/2))/(4*c^2*d^6 + (8*b*c^3*d^5)/a - (12*b^2*c^4*d^4)/a^2) + (8*c*d^5*(c^3)^(1/2)*(c + d*x)^(1/2))/(8*c^3*d^5 + (4*a*c^2*d^6)/b - (12*b*c^4*d^4)/a) - (12*b*c^2*d^4*(c^3)^(1/2)*(c + d*x)^(1/2))/(8*a*c^3*d^5 - 12*b*c^4*d^4 + (4*a^2*c^2*d^6)/b))*(c^3)^(1/2))/a^2 - (atanh((10*c^2*d^5*(b^4*c - a*b^3*d)^(1/2)*(c + d*x)^(1/2))/(2*a^2*c*d^7 + 2*b^2*c^3*d^5 - (12*b^3*c^4*d^4)/a + 8*a*b*c^2*d^6) + (12*c^3*d^4*(b^4*c - a*b^3*d)^(1/2)*(c + d*x)^(1/2))/(8*a^2*c^2*d^6 - 12*b^2*c^4*d^4 + (2*a^3*c*d^7)/b + 2*a*b*c^3*d^5) + (2*c*d^6*(b^4*c - a*b^3*d)^(1/2)*(c + d*x)^(1/2))/(8*b^2*c^2*d^6 + 2*a*b*c*d^7 + (2*b^3*c^3*d^5)/a - (12*b^4*c^4*d^4)/a^2))*(a*d + 2*b*c)*(-b^3*(a*d - b*c))^(1/2))/(a^2*b^3) - (d*(a*d - b*c)*(c + d*x)^(1/2))/(a*b*(a*d - b*c + b*(c + d*x)))","B"
467,1,429,149,0.616915,"\text{Not used}","int((c + d*x)^(3/2)/(x^2*(a + b*x)^2),x)","-\frac{\frac{2\,\left(a\,c\,d^2-b\,c^2\,d\right)\,\sqrt{c+d\,x}}{a^2}-\frac{d\,\left(a\,d-2\,b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}{a^2}}{\left(a\,d-2\,b\,c\right)\,\left(c+d\,x\right)+b\,{\left(c+d\,x\right)}^2+b\,c^2-a\,c\,d}-\frac{\sqrt{c}\,\mathrm{atanh}\left(\frac{6\,b\,\sqrt{c}\,d^7\,\sqrt{c+d\,x}}{6\,b\,c\,d^7-\frac{14\,b^2\,c^2\,d^6}{a}+\frac{8\,b^3\,c^3\,d^5}{a^2}}-\frac{14\,b^2\,c^{3/2}\,d^6\,\sqrt{c+d\,x}}{6\,a\,b\,c\,d^7-14\,b^2\,c^2\,d^6+\frac{8\,b^3\,c^3\,d^5}{a}}+\frac{8\,b^3\,c^{5/2}\,d^5\,\sqrt{c+d\,x}}{6\,a^2\,b\,c\,d^7-14\,a\,b^2\,c^2\,d^6+8\,b^3\,c^3\,d^5}\right)\,\left(3\,a\,d-4\,b\,c\right)}{a^3}-\frac{\mathrm{atanh}\left(\frac{2\,b\,c\,d^6\,\sqrt{b^2\,c-a\,b\,d}\,\sqrt{c+d\,x}}{2\,a\,b\,c\,d^7-10\,b^2\,c^2\,d^6+\frac{8\,b^3\,c^3\,d^5}{a}}-\frac{8\,b^2\,c^2\,d^5\,\sqrt{b^2\,c-a\,b\,d}\,\sqrt{c+d\,x}}{2\,a^2\,b\,c\,d^7-10\,a\,b^2\,c^2\,d^6+8\,b^3\,c^3\,d^5}\right)\,\sqrt{-b\,\left(a\,d-b\,c\right)}\,\left(a\,d-4\,b\,c\right)}{a^3\,b}","Not used",1,"- ((2*(a*c*d^2 - b*c^2*d)*(c + d*x)^(1/2))/a^2 - (d*(a*d - 2*b*c)*(c + d*x)^(3/2))/a^2)/((a*d - 2*b*c)*(c + d*x) + b*(c + d*x)^2 + b*c^2 - a*c*d) - (c^(1/2)*atanh((6*b*c^(1/2)*d^7*(c + d*x)^(1/2))/(6*b*c*d^7 - (14*b^2*c^2*d^6)/a + (8*b^3*c^3*d^5)/a^2) - (14*b^2*c^(3/2)*d^6*(c + d*x)^(1/2))/(6*a*b*c*d^7 - 14*b^2*c^2*d^6 + (8*b^3*c^3*d^5)/a) + (8*b^3*c^(5/2)*d^5*(c + d*x)^(1/2))/(8*b^3*c^3*d^5 - 14*a*b^2*c^2*d^6 + 6*a^2*b*c*d^7))*(3*a*d - 4*b*c))/a^3 - (atanh((2*b*c*d^6*(b^2*c - a*b*d)^(1/2)*(c + d*x)^(1/2))/(2*a*b*c*d^7 - 10*b^2*c^2*d^6 + (8*b^3*c^3*d^5)/a) - (8*b^2*c^2*d^5*(b^2*c - a*b*d)^(1/2)*(c + d*x)^(1/2))/(8*b^3*c^3*d^5 - 10*a*b^2*c^2*d^6 + 2*a^2*b*c*d^7))*(-b*(a*d - b*c))^(1/2)*(a*d - 4*b*c))/(a^3*b)","B"
468,1,679,220,0.155885,"\text{Not used}","int((x^3*(c + d*x)^(5/2))/(a + b*x)^2,x)","{\left(c+d\,x\right)}^{5/2}\,\left(\frac{6\,c^2}{5\,b^2\,d^2}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{5\,b^4\,d^2}+\frac{2\,\left(\frac{6\,c}{b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d^2}\right)\,\left(a\,d-b\,c\right)}{5\,b}\right)-\left(\frac{{\left(a\,d-b\,c\right)}^2\,\left(\frac{6\,c^2}{b^2\,d^2}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{b^4\,d^2}+\frac{2\,\left(\frac{6\,c}{b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d^2}\right)\,\left(a\,d-b\,c\right)}{b}\right)}{b^2}-\frac{2\,\left(a\,d-b\,c\right)\,\left(\frac{2\,c^3}{b^2\,d^2}-\frac{\left(\frac{6\,c}{b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d^2}\right)\,{\left(a\,d-b\,c\right)}^2}{b^2}+\frac{2\,\left(a\,d-b\,c\right)\,\left(\frac{6\,c^2}{b^2\,d^2}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{b^4\,d^2}+\frac{2\,\left(\frac{6\,c}{b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d^2}\right)\,\left(a\,d-b\,c\right)}{b}\right)}{b}\right)}{b}\right)\,\sqrt{c+d\,x}-{\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,c^3}{3\,b^2\,d^2}-\frac{\left(\frac{6\,c}{b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d^2}\right)\,{\left(a\,d-b\,c\right)}^2}{3\,b^2}+\frac{2\,\left(a\,d-b\,c\right)\,\left(\frac{6\,c^2}{b^2\,d^2}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{b^4\,d^2}+\frac{2\,\left(\frac{6\,c}{b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d^2}\right)\,\left(a\,d-b\,c\right)}{b}\right)}{3\,b}\right)-\left(\frac{6\,c}{7\,b^2\,d^2}+\frac{4\,\left(a\,d-b\,c\right)}{7\,b^3\,d^2}\right)\,{\left(c+d\,x\right)}^{7/2}+\frac{2\,{\left(c+d\,x\right)}^{9/2}}{9\,b^2\,d^2}+\frac{\sqrt{c+d\,x}\,\left(a^5\,d^3-2\,a^4\,b\,c\,d^2+a^3\,b^2\,c^2\,d\right)}{b^7\,\left(c+d\,x\right)-b^7\,c+a\,b^6\,d}-\frac{a^2\,\mathrm{atan}\left(\frac{a^2\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{3/2}\,\left(11\,a\,d-6\,b\,c\right)\,\sqrt{c+d\,x}}{11\,a^5\,d^3-28\,a^4\,b\,c\,d^2+23\,a^3\,b^2\,c^2\,d-6\,a^2\,b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{3/2}\,\left(11\,a\,d-6\,b\,c\right)}{b^{13/2}}","Not used",1,"(c + d*x)^(5/2)*((6*c^2)/(5*b^2*d^2) - (2*(a*d - b*c)^2)/(5*b^4*d^2) + (2*((6*c)/(b^2*d^2) + (4*(a*d - b*c))/(b^3*d^2))*(a*d - b*c))/(5*b)) - (((a*d - b*c)^2*((6*c^2)/(b^2*d^2) - (2*(a*d - b*c)^2)/(b^4*d^2) + (2*((6*c)/(b^2*d^2) + (4*(a*d - b*c))/(b^3*d^2))*(a*d - b*c))/b))/b^2 - (2*(a*d - b*c)*((2*c^3)/(b^2*d^2) - (((6*c)/(b^2*d^2) + (4*(a*d - b*c))/(b^3*d^2))*(a*d - b*c)^2)/b^2 + (2*(a*d - b*c)*((6*c^2)/(b^2*d^2) - (2*(a*d - b*c)^2)/(b^4*d^2) + (2*((6*c)/(b^2*d^2) + (4*(a*d - b*c))/(b^3*d^2))*(a*d - b*c))/b))/b))/b)*(c + d*x)^(1/2) - (c + d*x)^(3/2)*((2*c^3)/(3*b^2*d^2) - (((6*c)/(b^2*d^2) + (4*(a*d - b*c))/(b^3*d^2))*(a*d - b*c)^2)/(3*b^2) + (2*(a*d - b*c)*((6*c^2)/(b^2*d^2) - (2*(a*d - b*c)^2)/(b^4*d^2) + (2*((6*c)/(b^2*d^2) + (4*(a*d - b*c))/(b^3*d^2))*(a*d - b*c))/b))/(3*b)) - ((6*c)/(7*b^2*d^2) + (4*(a*d - b*c))/(7*b^3*d^2))*(c + d*x)^(7/2) + (2*(c + d*x)^(9/2))/(9*b^2*d^2) + ((c + d*x)^(1/2)*(a^5*d^3 + a^3*b^2*c^2*d - 2*a^4*b*c*d^2))/(b^7*(c + d*x) - b^7*c + a*b^6*d) - (a^2*atan((a^2*b^(1/2)*(a*d - b*c)^(3/2)*(11*a*d - 6*b*c)*(c + d*x)^(1/2))/(11*a^5*d^3 - 6*a^2*b^3*c^3 + 23*a^3*b^2*c^2*d - 28*a^4*b*c*d^2))*(a*d - b*c)^(3/2)*(11*a*d - 6*b*c))/b^(13/2)","B"
469,1,419,204,0.455238,"\text{Not used}","int((x^2*(c + d*x)^(5/2))/(a + b*x)^2,x)","\left(\frac{\left(\frac{4\,c}{b^2\,d}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d}\right)\,{\left(a\,d-b\,c\right)}^2}{b^2}-\frac{2\,\left(a\,d-b\,c\right)\,\left(\frac{2\,c^2}{b^2\,d}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{b^4\,d}+\frac{2\,\left(\frac{4\,c}{b^2\,d}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d}\right)\,\left(a\,d-b\,c\right)}{b}\right)}{b}\right)\,\sqrt{c+d\,x}+{\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,c^2}{3\,b^2\,d}-\frac{2\,{\left(a\,d-b\,c\right)}^2}{3\,b^4\,d}+\frac{2\,\left(\frac{4\,c}{b^2\,d}+\frac{4\,\left(a\,d-b\,c\right)}{b^3\,d}\right)\,\left(a\,d-b\,c\right)}{3\,b}\right)-\left(\frac{4\,c}{5\,b^2\,d}+\frac{4\,\left(a\,d-b\,c\right)}{5\,b^3\,d}\right)\,{\left(c+d\,x\right)}^{5/2}+\frac{2\,{\left(c+d\,x\right)}^{7/2}}{7\,b^2\,d}-\frac{\sqrt{c+d\,x}\,\left(a^4\,d^3-2\,a^3\,b\,c\,d^2+a^2\,b^2\,c^2\,d\right)}{b^6\,\left(c+d\,x\right)-b^6\,c+a\,b^5\,d}+\frac{a\,\mathrm{atan}\left(\frac{a\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{3/2}\,\left(9\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}}{9\,a^4\,d^3-22\,a^3\,b\,c\,d^2+17\,a^2\,b^2\,c^2\,d-4\,a\,b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{3/2}\,\left(9\,a\,d-4\,b\,c\right)}{b^{11/2}}","Not used",1,"((((4*c)/(b^2*d) + (4*(a*d - b*c))/(b^3*d))*(a*d - b*c)^2)/b^2 - (2*(a*d - b*c)*((2*c^2)/(b^2*d) - (2*(a*d - b*c)^2)/(b^4*d) + (2*((4*c)/(b^2*d) + (4*(a*d - b*c))/(b^3*d))*(a*d - b*c))/b))/b)*(c + d*x)^(1/2) + (c + d*x)^(3/2)*((2*c^2)/(3*b^2*d) - (2*(a*d - b*c)^2)/(3*b^4*d) + (2*((4*c)/(b^2*d) + (4*(a*d - b*c))/(b^3*d))*(a*d - b*c))/(3*b)) - ((4*c)/(5*b^2*d) + (4*(a*d - b*c))/(5*b^3*d))*(c + d*x)^(5/2) + (2*(c + d*x)^(7/2))/(7*b^2*d) - ((c + d*x)^(1/2)*(a^4*d^3 + a^2*b^2*c^2*d - 2*a^3*b*c*d^2))/(b^6*(c + d*x) - b^6*c + a*b^5*d) + (a*atan((a*b^(1/2)*(a*d - b*c)^(3/2)*(9*a*d - 4*b*c)*(c + d*x)^(1/2))/(9*a^4*d^3 - 4*a*b^3*c^3 + 17*a^2*b^2*c^2*d - 22*a^3*b*c*d^2))*(a*d - b*c)^(3/2)*(9*a*d - 4*b*c))/b^(11/2)","B"
470,1,264,178,0.448120,"\text{Not used}","int((x*(c + d*x)^(5/2))/(a + b*x)^2,x)","\frac{2\,{\left(c+d\,x\right)}^{5/2}}{5\,b^2}-\left(\frac{2\,{\left(a\,d-b\,c\right)}^2}{b^4}+\frac{\left(2\,b^2\,c-2\,a\,b\,d\right)\,\left(\frac{2\,c}{b^2}-\frac{2\,\left(2\,b^2\,c-2\,a\,b\,d\right)}{b^4}\right)}{b^2}\right)\,\sqrt{c+d\,x}-\left(\frac{2\,c}{3\,b^2}-\frac{2\,\left(2\,b^2\,c-2\,a\,b\,d\right)}{3\,b^4}\right)\,{\left(c+d\,x\right)}^{3/2}+\frac{\sqrt{c+d\,x}\,\left(a^3\,d^3-2\,a^2\,b\,c\,d^2+a\,b^2\,c^2\,d\right)}{b^5\,\left(c+d\,x\right)-b^5\,c+a\,b^4\,d}-\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,d-b\,c\right)}^{3/2}\,\left(7\,a\,d-2\,b\,c\right)\,\sqrt{c+d\,x}}{7\,a^3\,d^3-16\,a^2\,b\,c\,d^2+11\,a\,b^2\,c^2\,d-2\,b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{3/2}\,\left(7\,a\,d-2\,b\,c\right)}{b^{9/2}}","Not used",1,"(2*(c + d*x)^(5/2))/(5*b^2) - ((2*(a*d - b*c)^2)/b^4 + ((2*b^2*c - 2*a*b*d)*((2*c)/b^2 - (2*(2*b^2*c - 2*a*b*d))/b^4))/b^2)*(c + d*x)^(1/2) - ((2*c)/(3*b^2) - (2*(2*b^2*c - 2*a*b*d))/(3*b^4))*(c + d*x)^(3/2) + ((c + d*x)^(1/2)*(a^3*d^3 + a*b^2*c^2*d - 2*a^2*b*c*d^2))/(b^5*(c + d*x) - b^5*c + a*b^4*d) - (atan((b^(1/2)*(a*d - b*c)^(3/2)*(7*a*d - 2*b*c)*(c + d*x)^(1/2))/(7*a^3*d^3 - 2*b^3*c^3 + 11*a*b^2*c^2*d - 16*a^2*b*c*d^2))*(a*d - b*c)^(3/2)*(7*a*d - 2*b*c))/b^(9/2)","B"
471,1,161,110,0.123377,"\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"
472,1,1295,142,0.715208,"\text{Not used}","int((c + d*x)^(5/2)/(x*(a + b*x)^2),x)","\frac{2\,d^2\,\sqrt{c+d\,x}}{b^2}+\frac{\mathrm{atan}\left(\frac{a^2\,d^8\,\sqrt{c^5}\,\sqrt{c+d\,x}\,36{}\mathrm{i}}{36\,a^2\,c^3\,d^8+40\,b^2\,c^5\,d^6+\frac{80\,b^3\,c^6\,d^5}{a}-\frac{60\,b^4\,c^7\,d^4}{a^2}-96\,a\,b\,c^4\,d^7}+\frac{c^2\,d^6\,\sqrt{c^5}\,\sqrt{c+d\,x}\,40{}\mathrm{i}}{40\,c^5\,d^6-\frac{96\,a\,c^4\,d^7}{b}+\frac{80\,b\,c^6\,d^5}{a}-\frac{60\,b^2\,c^7\,d^4}{a^2}+\frac{36\,a^2\,c^3\,d^8}{b^2}}+\frac{c^3\,d^5\,\sqrt{c^5}\,\sqrt{c+d\,x}\,80{}\mathrm{i}}{80\,c^6\,d^5+\frac{40\,a\,c^5\,d^6}{b}-\frac{60\,b\,c^7\,d^4}{a}-\frac{96\,a^2\,c^4\,d^7}{b^2}+\frac{36\,a^3\,c^3\,d^8}{b^3}}-\frac{b\,c^4\,d^4\,\sqrt{c^5}\,\sqrt{c+d\,x}\,60{}\mathrm{i}}{80\,a\,c^6\,d^5-60\,b\,c^7\,d^4+\frac{40\,a^2\,c^5\,d^6}{b}-\frac{96\,a^3\,c^4\,d^7}{b^2}+\frac{36\,a^4\,c^3\,d^8}{b^3}}-\frac{a\,c\,d^7\,\sqrt{c^5}\,\sqrt{c+d\,x}\,96{}\mathrm{i}}{40\,b\,c^5\,d^6-96\,a\,c^4\,d^7+\frac{80\,b^2\,c^6\,d^5}{a}+\frac{36\,a^2\,c^3\,d^8}{b}-\frac{60\,b^3\,c^7\,d^4}{a^2}}\right)\,\sqrt{c^5}\,2{}\mathrm{i}}{a^2}+\frac{\sqrt{c+d\,x}\,\left(a^2\,d^3-2\,a\,b\,c\,d^2+b^2\,c^2\,d\right)}{a\,\left(b^3\,\left(c+d\,x\right)-b^3\,c+a\,b^2\,d\right)}-\frac{\mathrm{atan}\left(\frac{c^4\,d^5\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^5\,d^3+3\,a^2\,b^6\,c\,d^2-3\,a\,b^7\,c^2\,d+b^8\,c^3}\,70{}\mathrm{i}}{72\,a^3\,b\,c^3\,d^8-50\,b^4\,c^6\,d^5-170\,a\,b^3\,c^5\,d^6-162\,a^4\,c^2\,d^9+\frac{54\,a^5\,c\,d^{10}}{b}+196\,a^2\,b^2\,c^4\,d^7+\frac{60\,b^5\,c^7\,d^4}{a}}-\frac{c^3\,d^6\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^5\,d^3+3\,a^2\,b^6\,c\,d^2-3\,a\,b^7\,c^2\,d+b^8\,c^3}\,90{}\mathrm{i}}{54\,a^4\,c\,d^{10}-170\,b^4\,c^5\,d^6+196\,a\,b^3\,c^4\,d^7-162\,a^3\,b\,c^2\,d^9+72\,a^2\,b^2\,c^3\,d^8-\frac{50\,b^5\,c^6\,d^5}{a}+\frac{60\,b^6\,c^7\,d^4}{a^2}}+\frac{c^5\,d^4\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^5\,d^3+3\,a^2\,b^6\,c\,d^2-3\,a\,b^7\,c^2\,d+b^8\,c^3}\,60{}\mathrm{i}}{72\,a^4\,c^3\,d^8+60\,b^4\,c^7\,d^4-50\,a\,b^3\,c^6\,d^5+196\,a^3\,b\,c^4\,d^7+\frac{54\,a^6\,c\,d^{10}}{b^2}-170\,a^2\,b^2\,c^5\,d^6-\frac{162\,a^5\,c^2\,d^9}{b}}-\frac{a\,c^2\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^5\,d^3+3\,a^2\,b^6\,c\,d^2-3\,a\,b^7\,c^2\,d+b^8\,c^3}\,54{}\mathrm{i}}{196\,a\,b^4\,c^4\,d^7-170\,b^5\,c^5\,d^6+72\,a^2\,b^3\,c^3\,d^8-162\,a^3\,b^2\,c^2\,d^9-\frac{50\,b^6\,c^6\,d^5}{a}+\frac{60\,b^7\,c^7\,d^4}{a^2}+54\,a^4\,b\,c\,d^{10}}+\frac{a^2\,c\,d^8\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^5\,d^3+3\,a^2\,b^6\,c\,d^2-3\,a\,b^7\,c^2\,d+b^8\,c^3}\,54{}\mathrm{i}}{196\,a\,b^5\,c^4\,d^7-170\,b^6\,c^5\,d^6+54\,a^4\,b^2\,c\,d^{10}+72\,a^2\,b^4\,c^3\,d^8-162\,a^3\,b^3\,c^2\,d^9-\frac{50\,b^7\,c^6\,d^5}{a}+\frac{60\,b^8\,c^7\,d^4}{a^2}}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^3}\,\left(3\,a\,d+2\,b\,c\right)\,1{}\mathrm{i}}{a^2\,b^5}","Not used",1,"(2*d^2*(c + d*x)^(1/2))/b^2 + (atan((a^2*d^8*(c^5)^(1/2)*(c + d*x)^(1/2)*36i)/(36*a^2*c^3*d^8 + 40*b^2*c^5*d^6 + (80*b^3*c^6*d^5)/a - (60*b^4*c^7*d^4)/a^2 - 96*a*b*c^4*d^7) + (c^2*d^6*(c^5)^(1/2)*(c + d*x)^(1/2)*40i)/(40*c^5*d^6 - (96*a*c^4*d^7)/b + (80*b*c^6*d^5)/a - (60*b^2*c^7*d^4)/a^2 + (36*a^2*c^3*d^8)/b^2) + (c^3*d^5*(c^5)^(1/2)*(c + d*x)^(1/2)*80i)/(80*c^6*d^5 + (40*a*c^5*d^6)/b - (60*b*c^7*d^4)/a - (96*a^2*c^4*d^7)/b^2 + (36*a^3*c^3*d^8)/b^3) - (b*c^4*d^4*(c^5)^(1/2)*(c + d*x)^(1/2)*60i)/(80*a*c^6*d^5 - 60*b*c^7*d^4 + (40*a^2*c^5*d^6)/b - (96*a^3*c^4*d^7)/b^2 + (36*a^4*c^3*d^8)/b^3) - (a*c*d^7*(c^5)^(1/2)*(c + d*x)^(1/2)*96i)/(40*b*c^5*d^6 - 96*a*c^4*d^7 + (80*b^2*c^6*d^5)/a + (36*a^2*c^3*d^8)/b - (60*b^3*c^7*d^4)/a^2))*(c^5)^(1/2)*2i)/a^2 + ((c + d*x)^(1/2)*(a^2*d^3 + b^2*c^2*d - 2*a*b*c*d^2))/(a*(b^3*(c + d*x) - b^3*c + a*b^2*d)) - (atan((c^4*d^5*(c + d*x)^(1/2)*(b^8*c^3 - a^3*b^5*d^3 + 3*a^2*b^6*c*d^2 - 3*a*b^7*c^2*d)^(1/2)*70i)/(72*a^3*b*c^3*d^8 - 50*b^4*c^6*d^5 - 170*a*b^3*c^5*d^6 - 162*a^4*c^2*d^9 + (54*a^5*c*d^10)/b + 196*a^2*b^2*c^4*d^7 + (60*b^5*c^7*d^4)/a) - (c^3*d^6*(c + d*x)^(1/2)*(b^8*c^3 - a^3*b^5*d^3 + 3*a^2*b^6*c*d^2 - 3*a*b^7*c^2*d)^(1/2)*90i)/(54*a^4*c*d^10 - 170*b^4*c^5*d^6 + 196*a*b^3*c^4*d^7 - 162*a^3*b*c^2*d^9 + 72*a^2*b^2*c^3*d^8 - (50*b^5*c^6*d^5)/a + (60*b^6*c^7*d^4)/a^2) + (c^5*d^4*(c + d*x)^(1/2)*(b^8*c^3 - a^3*b^5*d^3 + 3*a^2*b^6*c*d^2 - 3*a*b^7*c^2*d)^(1/2)*60i)/(72*a^4*c^3*d^8 + 60*b^4*c^7*d^4 - 50*a*b^3*c^6*d^5 + 196*a^3*b*c^4*d^7 + (54*a^6*c*d^10)/b^2 - 170*a^2*b^2*c^5*d^6 - (162*a^5*c^2*d^9)/b) - (a*c^2*d^7*(c + d*x)^(1/2)*(b^8*c^3 - a^3*b^5*d^3 + 3*a^2*b^6*c*d^2 - 3*a*b^7*c^2*d)^(1/2)*54i)/(196*a*b^4*c^4*d^7 - 170*b^5*c^5*d^6 + 72*a^2*b^3*c^3*d^8 - 162*a^3*b^2*c^2*d^9 - (50*b^6*c^6*d^5)/a + (60*b^7*c^7*d^4)/a^2 + 54*a^4*b*c*d^10) + (a^2*c*d^8*(c + d*x)^(1/2)*(b^8*c^3 - a^3*b^5*d^3 + 3*a^2*b^6*c*d^2 - 3*a*b^7*c^2*d)^(1/2)*54i)/(196*a*b^5*c^4*d^7 - 170*b^6*c^5*d^6 + 54*a^4*b^2*c*d^10 + 72*a^2*b^4*c^3*d^8 - 162*a^3*b^3*c^2*d^9 - (50*b^7*c^6*d^5)/a + (60*b^8*c^7*d^4)/a^2))*(-b^5*(a*d - b*c)^3)^(1/2)*(3*a*d + 2*b*c)*1i)/(a^2*b^5)","B"
473,1,1127,147,0.395745,"\text{Not used}","int((c + d*x)^(5/2)/(x^2*(a + b*x)^2),x)","\frac{\frac{\sqrt{c+d\,x}\,\left(a^2\,c\,d^3-3\,a\,b\,c^2\,d^2+2\,b^2\,c^3\,d\right)}{a^2\,b}-\frac{d\,{\left(c+d\,x\right)}^{3/2}\,\left(a^2\,d^2-2\,a\,b\,c\,d+2\,b^2\,c^2\right)}{a^2\,b}}{\left(a\,d-2\,b\,c\right)\,\left(c+d\,x\right)+b\,{\left(c+d\,x\right)}^2+b\,c^2-a\,c\,d}-\frac{\mathrm{atanh}\left(\frac{10\,d^9\,\sqrt{c^3}\,\sqrt{c+d\,x}}{10\,c^2\,d^9+\frac{32\,b\,c^3\,d^8}{a}-\frac{132\,b^2\,c^4\,d^7}{a^2}+\frac{130\,b^3\,c^5\,d^6}{a^3}-\frac{40\,b^4\,c^6\,d^5}{a^4}}+\frac{32\,c\,d^8\,\sqrt{c^3}\,\sqrt{c+d\,x}}{32\,c^3\,d^8+\frac{10\,a\,c^2\,d^9}{b}-\frac{132\,b\,c^4\,d^7}{a}+\frac{130\,b^2\,c^5\,d^6}{a^2}-\frac{40\,b^3\,c^6\,d^5}{a^3}}-\frac{132\,b\,c^2\,d^7\,\sqrt{c^3}\,\sqrt{c+d\,x}}{32\,a\,c^3\,d^8-132\,b\,c^4\,d^7+\frac{130\,b^2\,c^5\,d^6}{a}+\frac{10\,a^2\,c^2\,d^9}{b}-\frac{40\,b^3\,c^6\,d^5}{a^2}}+\frac{130\,b^2\,c^3\,d^6\,\sqrt{c^3}\,\sqrt{c+d\,x}}{32\,a^2\,c^3\,d^8+130\,b^2\,c^5\,d^6-\frac{40\,b^3\,c^6\,d^5}{a}+\frac{10\,a^3\,c^2\,d^9}{b}-132\,a\,b\,c^4\,d^7}-\frac{40\,b^3\,c^4\,d^5\,\sqrt{c^3}\,\sqrt{c+d\,x}}{32\,a^3\,c^3\,d^8-40\,b^3\,c^6\,d^5+130\,a\,b^2\,c^5\,d^6-132\,a^2\,b\,c^4\,d^7+\frac{10\,a^4\,c^2\,d^9}{b}}\right)\,\left(5\,a\,d-4\,b\,c\right)\,\sqrt{c^3}}{a^3}-\frac{\mathrm{atanh}\left(\frac{30\,c^3\,d^6\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^3\,d^3+3\,a^2\,b^4\,c\,d^2-3\,a\,b^5\,c^2\,d+b^6\,c^3}}{14\,a^3\,c^2\,d^9+110\,b^3\,c^5\,d^6-82\,a\,b^2\,c^4\,d^7-4\,a^2\,b\,c^3\,d^8+\frac{2\,a^4\,c\,d^{10}}{b}-\frac{40\,b^4\,c^6\,d^5}{a}}-\frac{2\,c\,d^8\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^3\,d^3+3\,a^2\,b^4\,c\,d^2-3\,a\,b^5\,c^2\,d+b^6\,c^3}}{4\,b^3\,c^3\,d^8-14\,a\,b^2\,c^2\,d^9+\frac{82\,b^4\,c^4\,d^7}{a}-\frac{110\,b^5\,c^5\,d^6}{a^2}+\frac{40\,b^6\,c^6\,d^5}{a^3}-2\,a^2\,b\,c\,d^{10}}+\frac{18\,c^2\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^3\,d^3+3\,a^2\,b^4\,c\,d^2-3\,a\,b^5\,c^2\,d+b^6\,c^3}}{2\,a^3\,c\,d^{10}-82\,b^3\,c^4\,d^7-4\,a\,b^2\,c^3\,d^8+14\,a^2\,b\,c^2\,d^9+\frac{110\,b^4\,c^5\,d^6}{a}-\frac{40\,b^5\,c^6\,d^5}{a^2}}+\frac{40\,c^4\,d^5\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b^3\,d^3+3\,a^2\,b^4\,c\,d^2-3\,a\,b^5\,c^2\,d+b^6\,c^3}}{4\,a^3\,c^3\,d^8+40\,b^3\,c^6\,d^5-110\,a\,b^2\,c^5\,d^6+82\,a^2\,b\,c^4\,d^7-\frac{2\,a^5\,c\,d^{10}}{b^2}-\frac{14\,a^4\,c^2\,d^9}{b}}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(a\,d+4\,b\,c\right)}{a^3\,b^3}","Not used",1,"(((c + d*x)^(1/2)*(a^2*c*d^3 + 2*b^2*c^3*d - 3*a*b*c^2*d^2))/(a^2*b) - (d*(c + d*x)^(3/2)*(a^2*d^2 + 2*b^2*c^2 - 2*a*b*c*d))/(a^2*b))/((a*d - 2*b*c)*(c + d*x) + b*(c + d*x)^2 + b*c^2 - a*c*d) - (atanh((10*d^9*(c^3)^(1/2)*(c + d*x)^(1/2))/(10*c^2*d^9 + (32*b*c^3*d^8)/a - (132*b^2*c^4*d^7)/a^2 + (130*b^3*c^5*d^6)/a^3 - (40*b^4*c^6*d^5)/a^4) + (32*c*d^8*(c^3)^(1/2)*(c + d*x)^(1/2))/(32*c^3*d^8 + (10*a*c^2*d^9)/b - (132*b*c^4*d^7)/a + (130*b^2*c^5*d^6)/a^2 - (40*b^3*c^6*d^5)/a^3) - (132*b*c^2*d^7*(c^3)^(1/2)*(c + d*x)^(1/2))/(32*a*c^3*d^8 - 132*b*c^4*d^7 + (130*b^2*c^5*d^6)/a + (10*a^2*c^2*d^9)/b - (40*b^3*c^6*d^5)/a^2) + (130*b^2*c^3*d^6*(c^3)^(1/2)*(c + d*x)^(1/2))/(32*a^2*c^3*d^8 + 130*b^2*c^5*d^6 - (40*b^3*c^6*d^5)/a + (10*a^3*c^2*d^9)/b - 132*a*b*c^4*d^7) - (40*b^3*c^4*d^5*(c^3)^(1/2)*(c + d*x)^(1/2))/(32*a^3*c^3*d^8 - 40*b^3*c^6*d^5 + 130*a*b^2*c^5*d^6 - 132*a^2*b*c^4*d^7 + (10*a^4*c^2*d^9)/b))*(5*a*d - 4*b*c)*(c^3)^(1/2))/a^3 - (atanh((30*c^3*d^6*(c + d*x)^(1/2)*(b^6*c^3 - a^3*b^3*d^3 + 3*a^2*b^4*c*d^2 - 3*a*b^5*c^2*d)^(1/2))/(14*a^3*c^2*d^9 + 110*b^3*c^5*d^6 - 82*a*b^2*c^4*d^7 - 4*a^2*b*c^3*d^8 + (2*a^4*c*d^10)/b - (40*b^4*c^6*d^5)/a) - (2*c*d^8*(c + d*x)^(1/2)*(b^6*c^3 - a^3*b^3*d^3 + 3*a^2*b^4*c*d^2 - 3*a*b^5*c^2*d)^(1/2))/(4*b^3*c^3*d^8 - 14*a*b^2*c^2*d^9 + (82*b^4*c^4*d^7)/a - (110*b^5*c^5*d^6)/a^2 + (40*b^6*c^6*d^5)/a^3 - 2*a^2*b*c*d^10) + (18*c^2*d^7*(c + d*x)^(1/2)*(b^6*c^3 - a^3*b^3*d^3 + 3*a^2*b^4*c*d^2 - 3*a*b^5*c^2*d)^(1/2))/(2*a^3*c*d^10 - 82*b^3*c^4*d^7 - 4*a*b^2*c^3*d^8 + 14*a^2*b*c^2*d^9 + (110*b^4*c^5*d^6)/a - (40*b^5*c^6*d^5)/a^2) + (40*c^4*d^5*(c + d*x)^(1/2)*(b^6*c^3 - a^3*b^3*d^3 + 3*a^2*b^4*c*d^2 - 3*a*b^5*c^2*d)^(1/2))/(4*a^3*c^3*d^8 + 40*b^3*c^6*d^5 - 110*a*b^2*c^5*d^6 + 82*a^2*b*c^4*d^7 - (2*a^5*c*d^10)/b^2 - (14*a^4*c^2*d^9)/b))*(-b^3*(a*d - b*c)^3)^(1/2)*(a*d + 4*b*c))/(a^3*b^3)","B"
474,1,670,219,0.946812,"\text{Not used}","int((c + d*x)^(5/2)/(x^3*(a + b*x)^2),x)","\frac{\frac{\sqrt{c+d\,x}\,\left(11\,a^2\,c^2\,d^3-23\,a\,b\,c^3\,d^2+12\,b^2\,c^4\,d\right)}{4\,a^3}-\frac{{\left(c+d\,x\right)}^{3/2}\,\left(17\,a^2\,c\,d^3-40\,a\,b\,c^2\,d^2+24\,b^2\,c^3\,d\right)}{4\,a^3}+\frac{d\,{\left(c+d\,x\right)}^{5/2}\,\left(4\,a^2\,d^2-17\,a\,b\,c\,d+12\,b^2\,c^2\right)}{4\,a^3}}{b\,{\left(c+d\,x\right)}^3+\left(a\,d-3\,b\,c\right)\,{\left(c+d\,x\right)}^2-b\,c^3+\left(3\,b\,c^2-2\,a\,c\,d\right)\,\left(c+d\,x\right)+a\,c^2\,d}+\frac{\sqrt{c}\,\ln\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{15\,a^2\,d^2}{8}-5\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a^4}-\frac{\sqrt{c}\,\ln\left(\sqrt{c+d\,x}+\sqrt{c}\right)\,\left(15\,a^2\,d^2-40\,a\,b\,c\,d+24\,b^2\,c^2\right)}{8\,a^4}+\frac{\mathrm{atan}\left(-\frac{b^2\,c^2\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}\,111{}\mathrm{i}}{8\,\left(41\,a\,b^3\,c^3\,d^8-\frac{291\,b^4\,c^4\,d^7}{8}-\frac{143\,a^2\,b^2\,c^2\,d^9}{8}+\frac{45\,b^5\,c^5\,d^6}{4\,a}+2\,a^3\,b\,c\,d^{10}\right)}+\frac{b^3\,c^3\,d^6\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}\,45{}\mathrm{i}}{4\,\left(2\,a^4\,b\,c\,d^{10}-\frac{143\,a^3\,b^2\,c^2\,d^9}{8}+41\,a^2\,b^3\,c^3\,d^8-\frac{291\,a\,b^4\,c^4\,d^7}{8}+\frac{45\,b^5\,c^5\,d^6}{4}\right)}+\frac{b\,c\,d^8\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}\,2{}\mathrm{i}}{41\,b^3\,c^3\,d^8-\frac{143\,a\,b^2\,c^2\,d^9}{8}-\frac{291\,b^4\,c^4\,d^7}{8\,a}+\frac{45\,b^5\,c^5\,d^6}{4\,a^2}+2\,a^2\,b\,c\,d^{10}}\right)\,\left(a\,d-6\,b\,c\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}\,1{}\mathrm{i}}{a^4\,b}","Not used",1,"(((c + d*x)^(1/2)*(12*b^2*c^4*d + 11*a^2*c^2*d^3 - 23*a*b*c^3*d^2))/(4*a^3) - ((c + d*x)^(3/2)*(17*a^2*c*d^3 + 24*b^2*c^3*d - 40*a*b*c^2*d^2))/(4*a^3) + (d*(c + d*x)^(5/2)*(4*a^2*d^2 + 12*b^2*c^2 - 17*a*b*c*d))/(4*a^3))/(b*(c + d*x)^3 + (a*d - 3*b*c)*(c + d*x)^2 - b*c^3 + (3*b*c^2 - 2*a*c*d)*(c + d*x) + a*c^2*d) + (c^(1/2)*log((c + d*x)^(1/2) - c^(1/2))*((15*a^2*d^2)/8 + 3*b^2*c^2 - 5*a*b*c*d))/a^4 - (c^(1/2)*log((c + d*x)^(1/2) + c^(1/2))*(15*a^2*d^2 + 24*b^2*c^2 - 40*a*b*c*d))/(8*a^4) + (atan((b^3*c^3*d^6*(c + d*x)^(1/2)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)^(1/2)*45i)/(4*((45*b^5*c^5*d^6)/4 - (291*a*b^4*c^4*d^7)/8 + 41*a^2*b^3*c^3*d^8 - (143*a^3*b^2*c^2*d^9)/8 + 2*a^4*b*c*d^10)) - (b^2*c^2*d^7*(c + d*x)^(1/2)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)^(1/2)*111i)/(8*(41*a*b^3*c^3*d^8 - (291*b^4*c^4*d^7)/8 - (143*a^2*b^2*c^2*d^9)/8 + (45*b^5*c^5*d^6)/(4*a) + 2*a^3*b*c*d^10)) + (b*c*d^8*(c + d*x)^(1/2)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)^(1/2)*2i)/(41*b^3*c^3*d^8 - (143*a*b^2*c^2*d^9)/8 - (291*b^4*c^4*d^7)/(8*a) + (45*b^5*c^5*d^6)/(4*a^2) + 2*a^2*b*c*d^10))*(a*d - 6*b*c)*(-b*(a*d - b*c)^3)^(1/2)*1i)/(a^4*b)","B"
475,1,2151,284,1.112788,"\text{Not used}","int((c + d*x)^(5/2)/(x^4*(a + b*x)^2),x)","\frac{\frac{{\left(c+d\,x\right)}^{3/2}\,\left(40\,a^3\,c\,d^4-319\,a^2\,b\,c^2\,d^3+564\,a\,b^2\,c^3\,d^2-288\,b^3\,c^4\,d\right)}{24\,a^4}-\frac{{\left(c+d\,x\right)}^{5/2}\,\left(33\,a^3\,d^4-253\,a^2\,b\,c\,d^3+516\,a\,b^2\,c^2\,d^2-288\,b^3\,c^3\,d\right)}{24\,a^4}+\frac{\sqrt{c+d\,x}\,\left(-5\,a^3\,c^2\,d^4+41\,a^2\,b\,c^3\,d^3-68\,a\,b^2\,c^4\,d^2+32\,b^3\,c^5\,d\right)}{8\,a^4}-\frac{b\,d\,{\left(c+d\,x\right)}^{7/2}\,\left(19\,a^2\,d^2-52\,a\,b\,c\,d+32\,b^2\,c^2\right)}{8\,a^4}}{b\,{\left(c+d\,x\right)}^4-\left(4\,b\,c^3-3\,a\,c^2\,d\right)\,\left(c+d\,x\right)+\left(6\,b\,c^2-3\,a\,c\,d\right)\,{\left(c+d\,x\right)}^2+\left(a\,d-4\,b\,c\right)\,{\left(c+d\,x\right)}^3+b\,c^4-a\,c^3\,d}+\frac{\mathrm{atanh}\left(\frac{75\,b^3\,d^9\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}}{32\,\left(\frac{75\,a^2\,b^3\,d^{11}}{32}+\frac{811\,b^5\,c^2\,d^9}{32}-\frac{41\,b^6\,c^3\,d^8}{2\,a}+\frac{6\,b^7\,c^4\,d^7}{a^2}-\frac{211\,a\,b^4\,c\,d^{10}}{16}\right)}+\frac{6\,b^5\,c^2\,d^7\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}}{\frac{75\,a^4\,b^3\,d^{11}}{32}-\frac{211\,a^3\,b^4\,c\,d^{10}}{16}+\frac{811\,a^2\,b^5\,c^2\,d^9}{32}-\frac{41\,a\,b^6\,c^3\,d^8}{2}+6\,b^7\,c^4\,d^7}-\frac{17\,b^4\,c\,d^8\,\sqrt{c+d\,x}\,\sqrt{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}}{2\,\left(\frac{75\,a^3\,b^3\,d^{11}}{32}-\frac{41\,b^6\,c^3\,d^8}{2}+\frac{811\,a\,b^5\,c^2\,d^9}{32}-\frac{211\,a^2\,b^4\,c\,d^{10}}{16}+\frac{6\,b^7\,c^4\,d^7}{a}\right)}\right)\,\left(3\,a\,d-8\,b\,c\right)\,\sqrt{-b\,{\left(a\,d-b\,c\right)}^3}}{a^5}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{c+d\,x}\,\left(601\,a^6\,b^3\,d^8-5976\,a^5\,b^4\,c\,d^7+24640\,a^4\,b^5\,c^2\,d^6-52160\,a^3\,b^6\,c^3\,d^5+59520\,a^2\,b^7\,c^4\,d^4-34816\,a\,b^8\,c^5\,d^3+8192\,b^9\,c^6\,d^2\right)}{32\,a^8}-\frac{\left(\frac{\frac{5\,a^{13}\,b^2\,d^6}{2}-\frac{41\,a^{12}\,b^3\,c\,d^5}{2}+34\,a^{11}\,b^4\,c^2\,d^4-16\,a^{10}\,b^5\,c^3\,d^3}{a^{12}}-\frac{\left(256\,a^{11}\,b^2\,d^3-512\,a^{10}\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{512\,a^{13}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{16\,a^5\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)\,1{}\mathrm{i}}{16\,a^5\,\sqrt{c}}+\frac{\left(\frac{\sqrt{c+d\,x}\,\left(601\,a^6\,b^3\,d^8-5976\,a^5\,b^4\,c\,d^7+24640\,a^4\,b^5\,c^2\,d^6-52160\,a^3\,b^6\,c^3\,d^5+59520\,a^2\,b^7\,c^4\,d^4-34816\,a\,b^8\,c^5\,d^3+8192\,b^9\,c^6\,d^2\right)}{32\,a^8}+\frac{\left(\frac{\frac{5\,a^{13}\,b^2\,d^6}{2}-\frac{41\,a^{12}\,b^3\,c\,d^5}{2}+34\,a^{11}\,b^4\,c^2\,d^4-16\,a^{10}\,b^5\,c^3\,d^3}{a^{12}}+\frac{\left(256\,a^{11}\,b^2\,d^3-512\,a^{10}\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{512\,a^{13}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{16\,a^5\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)\,1{}\mathrm{i}}{16\,a^5\,\sqrt{c}}}{\frac{\frac{285\,a^8\,b^3\,d^{11}}{32}-\frac{2765\,a^7\,b^4\,c\,d^{10}}{16}+\frac{38085\,a^6\,b^5\,c^2\,d^9}{32}-\frac{8333\,a^5\,b^6\,c^3\,d^8}{2}+\frac{33701\,a^4\,b^7\,c^4\,d^7}{4}-10285\,a^3\,b^8\,c^5\,d^6+7496\,a^2\,b^9\,c^6\,d^5-3008\,a\,b^{10}\,c^7\,d^4+512\,b^{11}\,c^8\,d^3}{a^{12}}-\frac{\left(\frac{\sqrt{c+d\,x}\,\left(601\,a^6\,b^3\,d^8-5976\,a^5\,b^4\,c\,d^7+24640\,a^4\,b^5\,c^2\,d^6-52160\,a^3\,b^6\,c^3\,d^5+59520\,a^2\,b^7\,c^4\,d^4-34816\,a\,b^8\,c^5\,d^3+8192\,b^9\,c^6\,d^2\right)}{32\,a^8}-\frac{\left(\frac{\frac{5\,a^{13}\,b^2\,d^6}{2}-\frac{41\,a^{12}\,b^3\,c\,d^5}{2}+34\,a^{11}\,b^4\,c^2\,d^4-16\,a^{10}\,b^5\,c^3\,d^3}{a^{12}}-\frac{\left(256\,a^{11}\,b^2\,d^3-512\,a^{10}\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{512\,a^{13}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{16\,a^5\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{16\,a^5\,\sqrt{c}}+\frac{\left(\frac{\sqrt{c+d\,x}\,\left(601\,a^6\,b^3\,d^8-5976\,a^5\,b^4\,c\,d^7+24640\,a^4\,b^5\,c^2\,d^6-52160\,a^3\,b^6\,c^3\,d^5+59520\,a^2\,b^7\,c^4\,d^4-34816\,a\,b^8\,c^5\,d^3+8192\,b^9\,c^6\,d^2\right)}{32\,a^8}+\frac{\left(\frac{\frac{5\,a^{13}\,b^2\,d^6}{2}-\frac{41\,a^{12}\,b^3\,c\,d^5}{2}+34\,a^{11}\,b^4\,c^2\,d^4-16\,a^{10}\,b^5\,c^3\,d^3}{a^{12}}+\frac{\left(256\,a^{11}\,b^2\,d^3-512\,a^{10}\,b^3\,c\,d^2\right)\,\sqrt{c+d\,x}\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{512\,a^{13}\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{16\,a^5\,\sqrt{c}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)}{16\,a^5\,\sqrt{c}}}\right)\,\left(5\,a^3\,d^3-60\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d-64\,b^3\,c^3\right)\,1{}\mathrm{i}}{8\,a^5\,\sqrt{c}}","Not used",1,"(((c + d*x)^(3/2)*(40*a^3*c*d^4 - 288*b^3*c^4*d + 564*a*b^2*c^3*d^2 - 319*a^2*b*c^2*d^3))/(24*a^4) - ((c + d*x)^(5/2)*(33*a^3*d^4 - 288*b^3*c^3*d + 516*a*b^2*c^2*d^2 - 253*a^2*b*c*d^3))/(24*a^4) + ((c + d*x)^(1/2)*(32*b^3*c^5*d - 5*a^3*c^2*d^4 - 68*a*b^2*c^4*d^2 + 41*a^2*b*c^3*d^3))/(8*a^4) - (b*d*(c + d*x)^(7/2)*(19*a^2*d^2 + 32*b^2*c^2 - 52*a*b*c*d))/(8*a^4))/(b*(c + d*x)^4 - (4*b*c^3 - 3*a*c^2*d)*(c + d*x) + (6*b*c^2 - 3*a*c*d)*(c + d*x)^2 + (a*d - 4*b*c)*(c + d*x)^3 + b*c^4 - a*c^3*d) + (atan((((((c + d*x)^(1/2)*(601*a^6*b^3*d^8 + 8192*b^9*c^6*d^2 - 34816*a*b^8*c^5*d^3 - 5976*a^5*b^4*c*d^7 + 59520*a^2*b^7*c^4*d^4 - 52160*a^3*b^6*c^3*d^5 + 24640*a^4*b^5*c^2*d^6))/(32*a^8) - ((((5*a^13*b^2*d^6)/2 - (41*a^12*b^3*c*d^5)/2 - 16*a^10*b^5*c^3*d^3 + 34*a^11*b^4*c^2*d^4)/a^12 - ((256*a^11*b^2*d^3 - 512*a^10*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(512*a^13*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(16*a^5*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2)*1i)/(16*a^5*c^(1/2)) + ((((c + d*x)^(1/2)*(601*a^6*b^3*d^8 + 8192*b^9*c^6*d^2 - 34816*a*b^8*c^5*d^3 - 5976*a^5*b^4*c*d^7 + 59520*a^2*b^7*c^4*d^4 - 52160*a^3*b^6*c^3*d^5 + 24640*a^4*b^5*c^2*d^6))/(32*a^8) + ((((5*a^13*b^2*d^6)/2 - (41*a^12*b^3*c*d^5)/2 - 16*a^10*b^5*c^3*d^3 + 34*a^11*b^4*c^2*d^4)/a^12 + ((256*a^11*b^2*d^3 - 512*a^10*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(512*a^13*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(16*a^5*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2)*1i)/(16*a^5*c^(1/2)))/(((285*a^8*b^3*d^11)/32 + 512*b^11*c^8*d^3 - 3008*a*b^10*c^7*d^4 - (2765*a^7*b^4*c*d^10)/16 + 7496*a^2*b^9*c^6*d^5 - 10285*a^3*b^8*c^5*d^6 + (33701*a^4*b^7*c^4*d^7)/4 - (8333*a^5*b^6*c^3*d^8)/2 + (38085*a^6*b^5*c^2*d^9)/32)/a^12 - ((((c + d*x)^(1/2)*(601*a^6*b^3*d^8 + 8192*b^9*c^6*d^2 - 34816*a*b^8*c^5*d^3 - 5976*a^5*b^4*c*d^7 + 59520*a^2*b^7*c^4*d^4 - 52160*a^3*b^6*c^3*d^5 + 24640*a^4*b^5*c^2*d^6))/(32*a^8) - ((((5*a^13*b^2*d^6)/2 - (41*a^12*b^3*c*d^5)/2 - 16*a^10*b^5*c^3*d^3 + 34*a^11*b^4*c^2*d^4)/a^12 - ((256*a^11*b^2*d^3 - 512*a^10*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(512*a^13*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(16*a^5*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(16*a^5*c^(1/2)) + ((((c + d*x)^(1/2)*(601*a^6*b^3*d^8 + 8192*b^9*c^6*d^2 - 34816*a*b^8*c^5*d^3 - 5976*a^5*b^4*c*d^7 + 59520*a^2*b^7*c^4*d^4 - 52160*a^3*b^6*c^3*d^5 + 24640*a^4*b^5*c^2*d^6))/(32*a^8) + ((((5*a^13*b^2*d^6)/2 - (41*a^12*b^3*c*d^5)/2 - 16*a^10*b^5*c^3*d^3 + 34*a^11*b^4*c^2*d^4)/a^12 + ((256*a^11*b^2*d^3 - 512*a^10*b^3*c*d^2)*(c + d*x)^(1/2)*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(512*a^13*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(16*a^5*c^(1/2)))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2))/(16*a^5*c^(1/2))))*(5*a^3*d^3 - 64*b^3*c^3 + 120*a*b^2*c^2*d - 60*a^2*b*c*d^2)*1i)/(8*a^5*c^(1/2)) + (atanh((75*b^3*d^9*(c + d*x)^(1/2)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)^(1/2))/(32*((75*a^2*b^3*d^11)/32 + (811*b^5*c^2*d^9)/32 - (41*b^6*c^3*d^8)/(2*a) + (6*b^7*c^4*d^7)/a^2 - (211*a*b^4*c*d^10)/16)) + (6*b^5*c^2*d^7*(c + d*x)^(1/2)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)^(1/2))/((75*a^4*b^3*d^11)/32 + 6*b^7*c^4*d^7 - (41*a*b^6*c^3*d^8)/2 - (211*a^3*b^4*c*d^10)/16 + (811*a^2*b^5*c^2*d^9)/32) - (17*b^4*c*d^8*(c + d*x)^(1/2)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)^(1/2))/(2*((75*a^3*b^3*d^11)/32 - (41*b^6*c^3*d^8)/2 + (811*a*b^5*c^2*d^9)/32 - (211*a^2*b^4*c*d^10)/16 + (6*b^7*c^4*d^7)/a)))*(3*a*d - 8*b*c)*(-b*(a*d - b*c)^3)^(1/2))/a^5","B"
476,1,3784,164,1.530885,"\text{Not used}","int(1/(x^2*(a + b*x)^2*(c + d*x)^(1/2)),x)","\frac{\frac{\sqrt{c+d\,x}\,\left(a^2\,d^3-2\,a\,b\,c\,d^2+2\,b^2\,c^2\,d\right)}{a^2\,\left(b\,c^2-a\,c\,d\right)}+\frac{b\,\left(a\,d^2-2\,b\,c\,d\right)\,{\left(c+d\,x\right)}^{3/2}}{a^2\,\left(b\,c^2-a\,c\,d\right)}}{\left(a\,d-2\,b\,c\right)\,\left(c+d\,x\right)+b\,{\left(c+d\,x\right)}^2+b\,c^2-a\,c\,d}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\left(5\,a\,d-4\,b\,c\right)}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}+\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\left(5\,a\,d-4\,b\,c\right)}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}}{\frac{2\,\left(5\,a^3\,b^4\,d^6+6\,a^2\,b^5\,c\,d^5-48\,a\,b^6\,c^2\,d^4+32\,b^7\,c^3\,d^3\right)}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}+\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\left(5\,a\,d-4\,b\,c\right)}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}-\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}+\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}-\frac{\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\left(5\,a\,d-4\,b\,c\right)}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)}{2\,\left(a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3\right)}}\right)\,\sqrt{-b^3\,{\left(a\,d-b\,c\right)}^3}\,\left(5\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{a^6\,d^3-3\,a^5\,b\,c\,d^2+3\,a^4\,b^2\,c^2\,d-a^3\,b^3\,c^3}+\frac{\mathrm{atan}\left(\frac{\frac{\left(a\,d+4\,b\,c\right)\,\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}-\frac{\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}+\frac{\left(a\,d+4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{a^3\,\sqrt{c^3}\,\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)}\right)\,\left(a\,d+4\,b\,c\right)}{2\,a^3\,\sqrt{c^3}}\right)\,1{}\mathrm{i}}{2\,a^3\,\sqrt{c^3}}+\frac{\left(a\,d+4\,b\,c\right)\,\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}+\frac{\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}-\frac{\left(a\,d+4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{a^3\,\sqrt{c^3}\,\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)}\right)\,\left(a\,d+4\,b\,c\right)}{2\,a^3\,\sqrt{c^3}}\right)\,1{}\mathrm{i}}{2\,a^3\,\sqrt{c^3}}}{\frac{2\,\left(5\,a^3\,b^4\,d^6+6\,a^2\,b^5\,c\,d^5-48\,a\,b^6\,c^2\,d^4+32\,b^7\,c^3\,d^3\right)}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}+\frac{\left(a\,d+4\,b\,c\right)\,\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}-\frac{\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}+\frac{\left(a\,d+4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{a^3\,\sqrt{c^3}\,\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)}\right)\,\left(a\,d+4\,b\,c\right)}{2\,a^3\,\sqrt{c^3}}\right)}{2\,a^3\,\sqrt{c^3}}-\frac{\left(a\,d+4\,b\,c\right)\,\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,b^3\,d^6+6\,a^3\,b^4\,c\,d^5+26\,a^2\,b^5\,c^2\,d^4-64\,a\,b^6\,c^3\,d^3+32\,b^7\,c^4\,d^2\right)}{a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4}+\frac{\left(\frac{4\,a^9\,b^2\,c\,d^6+4\,a^8\,b^3\,c^2\,d^5-16\,a^7\,b^4\,c^3\,d^4+8\,a^6\,b^5\,c^4\,d^3}{a^8\,c^2\,d^2-2\,a^7\,b\,c^3\,d+a^6\,b^2\,c^4}-\frac{\left(a\,d+4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-4\,a^9\,b^2\,c^2\,d^5+16\,a^8\,b^3\,c^3\,d^4-20\,a^7\,b^4\,c^4\,d^3+8\,a^6\,b^5\,c^5\,d^2\right)}{a^3\,\sqrt{c^3}\,\left(a^6\,c^2\,d^2-2\,a^5\,b\,c^3\,d+a^4\,b^2\,c^4\right)}\right)\,\left(a\,d+4\,b\,c\right)}{2\,a^3\,\sqrt{c^3}}\right)}{2\,a^3\,\sqrt{c^3}}}\right)\,\left(a\,d+4\,b\,c\right)\,1{}\mathrm{i}}{a^3\,\sqrt{c^3}}","Not used",1,"(((c + d*x)^(1/2)*(a^2*d^3 + 2*b^2*c^2*d - 2*a*b*c*d^2))/(a^2*(b*c^2 - a*c*d)) + (b*(a*d^2 - 2*b*c*d)*(c + d*x)^(3/2))/(a^2*(b*c^2 - a*c*d)))/((a*d - 2*b*c)*(c + d*x) + b*(c + d*x)^2 + b*c^2 - a*c*d) + (atan(((((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) + ((-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/((a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(5*a*d - 4*b*c))/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*1i)/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)) + (((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) + ((-b^3*(a*d - b*c)^3)^(1/2)*((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/((a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(5*a*d - 4*b*c))/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*1i)/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))/((2*(5*a^3*b^4*d^6 + 32*b^7*c^3*d^3 - 48*a*b^6*c^2*d^4 + 6*a^2*b^5*c*d^5))/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) + (((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) + ((-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/((a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(5*a*d - 4*b*c))/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c))/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)) - (((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) + ((-b^3*(a*d - b*c)^3)^(1/2)*((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) - ((-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/((a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(5*a*d - 4*b*c))/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2)))*(-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c))/(2*(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2))))*(-b^3*(a*d - b*c)^3)^(1/2)*(5*a*d - 4*b*c)*1i)/(a^6*d^3 - a^3*b^3*c^3 + 3*a^4*b^2*c^2*d - 3*a^5*b*c*d^2) + (atan((((a*d + 4*b*c)*((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) - (((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) + ((a*d + 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/(a^3*(c^3)^(1/2)*(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)))*(a*d + 4*b*c))/(2*a^3*(c^3)^(1/2)))*1i)/(2*a^3*(c^3)^(1/2)) + ((a*d + 4*b*c)*((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) + (((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) - ((a*d + 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/(a^3*(c^3)^(1/2)*(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)))*(a*d + 4*b*c))/(2*a^3*(c^3)^(1/2)))*1i)/(2*a^3*(c^3)^(1/2)))/((2*(5*a^3*b^4*d^6 + 32*b^7*c^3*d^3 - 48*a*b^6*c^2*d^4 + 6*a^2*b^5*c*d^5))/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) + ((a*d + 4*b*c)*((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) - (((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) + ((a*d + 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/(a^3*(c^3)^(1/2)*(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)))*(a*d + 4*b*c))/(2*a^3*(c^3)^(1/2))))/(2*a^3*(c^3)^(1/2)) - ((a*d + 4*b*c)*((2*(c + d*x)^(1/2)*(a^4*b^3*d^6 + 32*b^7*c^4*d^2 - 64*a*b^6*c^3*d^3 + 6*a^3*b^4*c*d^5 + 26*a^2*b^5*c^2*d^4))/(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d) + (((4*a^9*b^2*c*d^6 + 8*a^6*b^5*c^4*d^3 - 16*a^7*b^4*c^3*d^4 + 4*a^8*b^3*c^2*d^5)/(a^6*b^2*c^4 + a^8*c^2*d^2 - 2*a^7*b*c^3*d) - ((a*d + 4*b*c)*(c + d*x)^(1/2)*(8*a^6*b^5*c^5*d^2 - 20*a^7*b^4*c^4*d^3 + 16*a^8*b^3*c^3*d^4 - 4*a^9*b^2*c^2*d^5))/(a^3*(c^3)^(1/2)*(a^4*b^2*c^4 + a^6*c^2*d^2 - 2*a^5*b*c^3*d)))*(a*d + 4*b*c))/(2*a^3*(c^3)^(1/2))))/(2*a^3*(c^3)^(1/2))))*(a*d + 4*b*c)*1i)/(a^3*(c^3)^(1/2))","B"
477,1,4234,216,2.725455,"\text{Not used}","int(1/(x^2*(a + b*x)^2*(c + d*x)^(3/2)),x)","-\frac{\frac{2\,d^3}{b\,c^2-a\,c\,d}+\frac{d\,{\left(c+d\,x\right)}^2\,\left(3\,a^2\,b\,d^2-2\,a\,b^2\,c\,d+2\,b^3\,c^2\right)}{a^2\,{\left(b\,c^2-a\,c\,d\right)}^2}+\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(c+d\,x\right)\,\left(3\,a^2\,d^2-a\,b\,c\,d+b^2\,c^2\right)}{a^2\,{\left(b\,c^2-a\,c\,d\right)}^2}}{b\,{\left(c+d\,x\right)}^{5/2}+\left(b\,c^2-a\,c\,d\right)\,\sqrt{c+d\,x}+\left(a\,d-2\,b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}-\frac{\mathrm{atan}\left(\frac{-a^{14}\,c^{10}\,d^{14}\,\sqrt{c+d\,x}\,27{}\mathrm{i}+a^{13}\,b\,c^{11}\,d^{13}\,\sqrt{c+d\,x}\,189{}\mathrm{i}+a^3\,b^{11}\,c^{21}\,d^3\,\sqrt{c+d\,x}\,140{}\mathrm{i}-a^4\,b^{10}\,c^{20}\,d^4\,\sqrt{c+d\,x}\,1015{}\mathrm{i}+a^5\,b^9\,c^{19}\,d^5\,\sqrt{c+d\,x}\,2996{}\mathrm{i}-a^6\,b^8\,c^{18}\,d^6\,\sqrt{c+d\,x}\,4375{}\mathrm{i}+a^7\,b^7\,c^{17}\,d^7\,\sqrt{c+d\,x}\,2561{}\mathrm{i}+a^8\,b^6\,c^{16}\,d^8\,\sqrt{c+d\,x}\,1316{}\mathrm{i}-a^9\,b^5\,c^{15}\,d^9\,\sqrt{c+d\,x}\,3073{}\mathrm{i}+a^{10}\,b^4\,c^{14}\,d^{10}\,\sqrt{c+d\,x}\,1694{}\mathrm{i}+a^{11}\,b^3\,c^{13}\,d^{11}\,\sqrt{c+d\,x}\,35{}\mathrm{i}-a^{12}\,b^2\,c^{12}\,d^{12}\,\sqrt{c+d\,x}\,441{}\mathrm{i}}{c^5\,\sqrt{c^5}\,\left(c^5\,\left(c^5\,\left(2561\,a^7\,b^7\,d^7-4375\,a^6\,b^8\,c\,d^6+2996\,a^5\,b^9\,c^2\,d^5-1015\,a^4\,b^{10}\,c^3\,d^4+140\,a^3\,b^{11}\,c^4\,d^3\right)-441\,a^{12}\,b^2\,d^{12}+35\,a^{11}\,b^3\,c\,d^{11}+1316\,a^8\,b^6\,c^4\,d^8-3073\,a^9\,b^5\,c^3\,d^9+1694\,a^{10}\,b^4\,c^2\,d^{10}\right)-27\,a^{14}\,c^3\,d^{14}+189\,a^{13}\,b\,c^4\,d^{13}\right)}\right)\,\left(3\,a\,d+4\,b\,c\right)\,1{}\mathrm{i}}{a^3\,\sqrt{c^5}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\sqrt{c+d\,x}\,\left(18\,a^{18}\,b^3\,c^6\,d^{14}-132\,a^{17}\,b^4\,c^7\,d^{13}+362\,a^{16}\,b^5\,c^8\,d^{12}-320\,a^{15}\,b^6\,c^9\,d^{11}-442\,a^{14}\,b^7\,c^{10}\,d^{10}+1004\,a^{13}\,b^8\,c^{11}\,d^9+578\,a^{12}\,b^9\,c^{12}\,d^8-3976\,a^{11}\,b^{10}\,c^{13}\,d^7+5960\,a^{10}\,b^{11}\,c^{14}\,d^6-4768\,a^9\,b^{12}\,c^{15}\,d^5+2228\,a^8\,b^{13}\,c^{16}\,d^4-576\,a^7\,b^{14}\,c^{17}\,d^3+64\,a^6\,b^{15}\,c^{18}\,d^2\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{13}\,c^{19}\,d^3-76\,a^{11}\,b^{12}\,c^{18}\,d^4+300\,a^{12}\,b^{11}\,c^{17}\,d^5-612\,a^{13}\,b^{10}\,c^{16}\,d^6+576\,a^{14}\,b^9\,c^{15}\,d^7+168\,a^{15}\,b^8\,c^{14}\,d^8-1176\,a^{16}\,b^7\,c^{13}\,d^9+1560\,a^{17}\,b^6\,c^{12}\,d^{10}-1128\,a^{18}\,b^5\,c^{11}\,d^{11}+484\,a^{19}\,b^4\,c^{10}\,d^{12}-116\,a^{20}\,b^3\,c^9\,d^{13}+12\,a^{21}\,b^2\,c^8\,d^{14}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-8\,a^{23}\,b^2\,c^{10}\,d^{13}+96\,a^{22}\,b^3\,c^{11}\,d^{12}-520\,a^{21}\,b^4\,c^{12}\,d^{11}+1680\,a^{20}\,b^5\,c^{13}\,d^{10}-3600\,a^{19}\,b^6\,c^{14}\,d^9+5376\,a^{18}\,b^7\,c^{15}\,d^8-5712\,a^{17}\,b^8\,c^{16}\,d^7+4320\,a^{16}\,b^9\,c^{17}\,d^6-2280\,a^{15}\,b^{10}\,c^{18}\,d^5+800\,a^{14}\,b^{11}\,c^{19}\,d^4-168\,a^{13}\,b^{12}\,c^{20}\,d^3+16\,a^{12}\,b^{13}\,c^{21}\,d^2\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)\,\left(7\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\sqrt{c+d\,x}\,\left(18\,a^{18}\,b^3\,c^6\,d^{14}-132\,a^{17}\,b^4\,c^7\,d^{13}+362\,a^{16}\,b^5\,c^8\,d^{12}-320\,a^{15}\,b^6\,c^9\,d^{11}-442\,a^{14}\,b^7\,c^{10}\,d^{10}+1004\,a^{13}\,b^8\,c^{11}\,d^9+578\,a^{12}\,b^9\,c^{12}\,d^8-3976\,a^{11}\,b^{10}\,c^{13}\,d^7+5960\,a^{10}\,b^{11}\,c^{14}\,d^6-4768\,a^9\,b^{12}\,c^{15}\,d^5+2228\,a^8\,b^{13}\,c^{16}\,d^4-576\,a^7\,b^{14}\,c^{17}\,d^3+64\,a^6\,b^{15}\,c^{18}\,d^2\right)-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{13}\,c^{19}\,d^3-76\,a^{11}\,b^{12}\,c^{18}\,d^4+300\,a^{12}\,b^{11}\,c^{17}\,d^5-612\,a^{13}\,b^{10}\,c^{16}\,d^6+576\,a^{14}\,b^9\,c^{15}\,d^7+168\,a^{15}\,b^8\,c^{14}\,d^8-1176\,a^{16}\,b^7\,c^{13}\,d^9+1560\,a^{17}\,b^6\,c^{12}\,d^{10}-1128\,a^{18}\,b^5\,c^{11}\,d^{11}+484\,a^{19}\,b^4\,c^{10}\,d^{12}-116\,a^{20}\,b^3\,c^9\,d^{13}+12\,a^{21}\,b^2\,c^8\,d^{14}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-8\,a^{23}\,b^2\,c^{10}\,d^{13}+96\,a^{22}\,b^3\,c^{11}\,d^{12}-520\,a^{21}\,b^4\,c^{12}\,d^{11}+1680\,a^{20}\,b^5\,c^{13}\,d^{10}-3600\,a^{19}\,b^6\,c^{14}\,d^9+5376\,a^{18}\,b^7\,c^{15}\,d^8-5712\,a^{17}\,b^8\,c^{16}\,d^7+4320\,a^{16}\,b^9\,c^{17}\,d^6-2280\,a^{15}\,b^{10}\,c^{18}\,d^5+800\,a^{14}\,b^{11}\,c^{19}\,d^4-168\,a^{13}\,b^{12}\,c^{20}\,d^3+16\,a^{12}\,b^{13}\,c^{21}\,d^2\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)\,\left(7\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}}{64\,a^4\,b^{15}\,c^{16}\,d^3-512\,a^5\,b^{14}\,c^{15}\,d^4+1804\,a^6\,b^{13}\,c^{14}\,d^5-3668\,a^7\,b^{12}\,c^{13}\,d^6+4606\,a^8\,b^{11}\,c^{12}\,d^7-3248\,a^9\,b^{10}\,c^{11}\,d^8+322\,a^{10}\,b^9\,c^{10}\,d^9+1756\,a^{11}\,b^8\,c^9\,d^{10}-1742\,a^{12}\,b^7\,c^8\,d^{11}+744\,a^{13}\,b^6\,c^7\,d^{12}-126\,a^{14}\,b^5\,c^6\,d^{13}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\sqrt{c+d\,x}\,\left(18\,a^{18}\,b^3\,c^6\,d^{14}-132\,a^{17}\,b^4\,c^7\,d^{13}+362\,a^{16}\,b^5\,c^8\,d^{12}-320\,a^{15}\,b^6\,c^9\,d^{11}-442\,a^{14}\,b^7\,c^{10}\,d^{10}+1004\,a^{13}\,b^8\,c^{11}\,d^9+578\,a^{12}\,b^9\,c^{12}\,d^8-3976\,a^{11}\,b^{10}\,c^{13}\,d^7+5960\,a^{10}\,b^{11}\,c^{14}\,d^6-4768\,a^9\,b^{12}\,c^{15}\,d^5+2228\,a^8\,b^{13}\,c^{16}\,d^4-576\,a^7\,b^{14}\,c^{17}\,d^3+64\,a^6\,b^{15}\,c^{18}\,d^2\right)+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{13}\,c^{19}\,d^3-76\,a^{11}\,b^{12}\,c^{18}\,d^4+300\,a^{12}\,b^{11}\,c^{17}\,d^5-612\,a^{13}\,b^{10}\,c^{16}\,d^6+576\,a^{14}\,b^9\,c^{15}\,d^7+168\,a^{15}\,b^8\,c^{14}\,d^8-1176\,a^{16}\,b^7\,c^{13}\,d^9+1560\,a^{17}\,b^6\,c^{12}\,d^{10}-1128\,a^{18}\,b^5\,c^{11}\,d^{11}+484\,a^{19}\,b^4\,c^{10}\,d^{12}-116\,a^{20}\,b^3\,c^9\,d^{13}+12\,a^{21}\,b^2\,c^8\,d^{14}-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-8\,a^{23}\,b^2\,c^{10}\,d^{13}+96\,a^{22}\,b^3\,c^{11}\,d^{12}-520\,a^{21}\,b^4\,c^{12}\,d^{11}+1680\,a^{20}\,b^5\,c^{13}\,d^{10}-3600\,a^{19}\,b^6\,c^{14}\,d^9+5376\,a^{18}\,b^7\,c^{15}\,d^8-5712\,a^{17}\,b^8\,c^{16}\,d^7+4320\,a^{16}\,b^9\,c^{17}\,d^6-2280\,a^{15}\,b^{10}\,c^{18}\,d^5+800\,a^{14}\,b^{11}\,c^{19}\,d^4-168\,a^{13}\,b^{12}\,c^{20}\,d^3+16\,a^{12}\,b^{13}\,c^{21}\,d^2\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)\,\left(7\,a\,d-4\,b\,c\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(\sqrt{c+d\,x}\,\left(18\,a^{18}\,b^3\,c^6\,d^{14}-132\,a^{17}\,b^4\,c^7\,d^{13}+362\,a^{16}\,b^5\,c^8\,d^{12}-320\,a^{15}\,b^6\,c^9\,d^{11}-442\,a^{14}\,b^7\,c^{10}\,d^{10}+1004\,a^{13}\,b^8\,c^{11}\,d^9+578\,a^{12}\,b^9\,c^{12}\,d^8-3976\,a^{11}\,b^{10}\,c^{13}\,d^7+5960\,a^{10}\,b^{11}\,c^{14}\,d^6-4768\,a^9\,b^{12}\,c^{15}\,d^5+2228\,a^8\,b^{13}\,c^{16}\,d^4-576\,a^7\,b^{14}\,c^{17}\,d^3+64\,a^6\,b^{15}\,c^{18}\,d^2\right)-\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{13}\,c^{19}\,d^3-76\,a^{11}\,b^{12}\,c^{18}\,d^4+300\,a^{12}\,b^{11}\,c^{17}\,d^5-612\,a^{13}\,b^{10}\,c^{16}\,d^6+576\,a^{14}\,b^9\,c^{15}\,d^7+168\,a^{15}\,b^8\,c^{14}\,d^8-1176\,a^{16}\,b^7\,c^{13}\,d^9+1560\,a^{17}\,b^6\,c^{12}\,d^{10}-1128\,a^{18}\,b^5\,c^{11}\,d^{11}+484\,a^{19}\,b^4\,c^{10}\,d^{12}-116\,a^{20}\,b^3\,c^9\,d^{13}+12\,a^{21}\,b^2\,c^8\,d^{14}+\frac{\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(-8\,a^{23}\,b^2\,c^{10}\,d^{13}+96\,a^{22}\,b^3\,c^{11}\,d^{12}-520\,a^{21}\,b^4\,c^{12}\,d^{11}+1680\,a^{20}\,b^5\,c^{13}\,d^{10}-3600\,a^{19}\,b^6\,c^{14}\,d^9+5376\,a^{18}\,b^7\,c^{15}\,d^8-5712\,a^{17}\,b^8\,c^{16}\,d^7+4320\,a^{16}\,b^9\,c^{17}\,d^6-2280\,a^{15}\,b^{10}\,c^{18}\,d^5+800\,a^{14}\,b^{11}\,c^{19}\,d^4-168\,a^{13}\,b^{12}\,c^{20}\,d^3+16\,a^{12}\,b^{13}\,c^{21}\,d^2\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}\right)\,\left(7\,a\,d-4\,b\,c\right)}{2\,\left(a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5\right)}}\right)\,\sqrt{-b^5\,{\left(a\,d-b\,c\right)}^5}\,\left(7\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{a^8\,d^5-5\,a^7\,b\,c\,d^4+10\,a^6\,b^2\,c^2\,d^3-10\,a^5\,b^3\,c^3\,d^2+5\,a^4\,b^4\,c^4\,d-a^3\,b^5\,c^5}","Not used",1,"(atan((((-b^5*(a*d - b*c)^5)^(1/2)*((c + d*x)^(1/2)*(64*a^6*b^15*c^18*d^2 - 576*a^7*b^14*c^17*d^3 + 2228*a^8*b^13*c^16*d^4 - 4768*a^9*b^12*c^15*d^5 + 5960*a^10*b^11*c^14*d^6 - 3976*a^11*b^10*c^13*d^7 + 578*a^12*b^9*c^12*d^8 + 1004*a^13*b^8*c^11*d^9 - 442*a^14*b^7*c^10*d^10 - 320*a^15*b^6*c^9*d^11 + 362*a^16*b^5*c^8*d^12 - 132*a^17*b^4*c^7*d^13 + 18*a^18*b^3*c^6*d^14) + ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(8*a^10*b^13*c^19*d^3 - 76*a^11*b^12*c^18*d^4 + 300*a^12*b^11*c^17*d^5 - 612*a^13*b^10*c^16*d^6 + 576*a^14*b^9*c^15*d^7 + 168*a^15*b^8*c^14*d^8 - 1176*a^16*b^7*c^13*d^9 + 1560*a^17*b^6*c^12*d^10 - 1128*a^18*b^5*c^11*d^11 + 484*a^19*b^4*c^10*d^12 - 116*a^20*b^3*c^9*d^13 + 12*a^21*b^2*c^8*d^14 - ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^13*c^21*d^2 - 168*a^13*b^12*c^20*d^3 + 800*a^14*b^11*c^19*d^4 - 2280*a^15*b^10*c^18*d^5 + 4320*a^16*b^9*c^17*d^6 - 5712*a^17*b^8*c^16*d^7 + 5376*a^18*b^7*c^15*d^8 - 3600*a^19*b^6*c^14*d^9 + 1680*a^20*b^5*c^13*d^10 - 520*a^21*b^4*c^12*d^11 + 96*a^22*b^3*c^11*d^12 - 8*a^23*b^2*c^10*d^13))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4))))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)))*(7*a*d - 4*b*c)*1i)/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)) + ((-b^5*(a*d - b*c)^5)^(1/2)*((c + d*x)^(1/2)*(64*a^6*b^15*c^18*d^2 - 576*a^7*b^14*c^17*d^3 + 2228*a^8*b^13*c^16*d^4 - 4768*a^9*b^12*c^15*d^5 + 5960*a^10*b^11*c^14*d^6 - 3976*a^11*b^10*c^13*d^7 + 578*a^12*b^9*c^12*d^8 + 1004*a^13*b^8*c^11*d^9 - 442*a^14*b^7*c^10*d^10 - 320*a^15*b^6*c^9*d^11 + 362*a^16*b^5*c^8*d^12 - 132*a^17*b^4*c^7*d^13 + 18*a^18*b^3*c^6*d^14) - ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(8*a^10*b^13*c^19*d^3 - 76*a^11*b^12*c^18*d^4 + 300*a^12*b^11*c^17*d^5 - 612*a^13*b^10*c^16*d^6 + 576*a^14*b^9*c^15*d^7 + 168*a^15*b^8*c^14*d^8 - 1176*a^16*b^7*c^13*d^9 + 1560*a^17*b^6*c^12*d^10 - 1128*a^18*b^5*c^11*d^11 + 484*a^19*b^4*c^10*d^12 - 116*a^20*b^3*c^9*d^13 + 12*a^21*b^2*c^8*d^14 + ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^13*c^21*d^2 - 168*a^13*b^12*c^20*d^3 + 800*a^14*b^11*c^19*d^4 - 2280*a^15*b^10*c^18*d^5 + 4320*a^16*b^9*c^17*d^6 - 5712*a^17*b^8*c^16*d^7 + 5376*a^18*b^7*c^15*d^8 - 3600*a^19*b^6*c^14*d^9 + 1680*a^20*b^5*c^13*d^10 - 520*a^21*b^4*c^12*d^11 + 96*a^22*b^3*c^11*d^12 - 8*a^23*b^2*c^10*d^13))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4))))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)))*(7*a*d - 4*b*c)*1i)/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)))/(64*a^4*b^15*c^16*d^3 - 512*a^5*b^14*c^15*d^4 + 1804*a^6*b^13*c^14*d^5 - 3668*a^7*b^12*c^13*d^6 + 4606*a^8*b^11*c^12*d^7 - 3248*a^9*b^10*c^11*d^8 + 322*a^10*b^9*c^10*d^9 + 1756*a^11*b^8*c^9*d^10 - 1742*a^12*b^7*c^8*d^11 + 744*a^13*b^6*c^7*d^12 - 126*a^14*b^5*c^6*d^13 - ((-b^5*(a*d - b*c)^5)^(1/2)*((c + d*x)^(1/2)*(64*a^6*b^15*c^18*d^2 - 576*a^7*b^14*c^17*d^3 + 2228*a^8*b^13*c^16*d^4 - 4768*a^9*b^12*c^15*d^5 + 5960*a^10*b^11*c^14*d^6 - 3976*a^11*b^10*c^13*d^7 + 578*a^12*b^9*c^12*d^8 + 1004*a^13*b^8*c^11*d^9 - 442*a^14*b^7*c^10*d^10 - 320*a^15*b^6*c^9*d^11 + 362*a^16*b^5*c^8*d^12 - 132*a^17*b^4*c^7*d^13 + 18*a^18*b^3*c^6*d^14) + ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(8*a^10*b^13*c^19*d^3 - 76*a^11*b^12*c^18*d^4 + 300*a^12*b^11*c^17*d^5 - 612*a^13*b^10*c^16*d^6 + 576*a^14*b^9*c^15*d^7 + 168*a^15*b^8*c^14*d^8 - 1176*a^16*b^7*c^13*d^9 + 1560*a^17*b^6*c^12*d^10 - 1128*a^18*b^5*c^11*d^11 + 484*a^19*b^4*c^10*d^12 - 116*a^20*b^3*c^9*d^13 + 12*a^21*b^2*c^8*d^14 - ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^13*c^21*d^2 - 168*a^13*b^12*c^20*d^3 + 800*a^14*b^11*c^19*d^4 - 2280*a^15*b^10*c^18*d^5 + 4320*a^16*b^9*c^17*d^6 - 5712*a^17*b^8*c^16*d^7 + 5376*a^18*b^7*c^15*d^8 - 3600*a^19*b^6*c^14*d^9 + 1680*a^20*b^5*c^13*d^10 - 520*a^21*b^4*c^12*d^11 + 96*a^22*b^3*c^11*d^12 - 8*a^23*b^2*c^10*d^13))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4))))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)))*(7*a*d - 4*b*c))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)) + ((-b^5*(a*d - b*c)^5)^(1/2)*((c + d*x)^(1/2)*(64*a^6*b^15*c^18*d^2 - 576*a^7*b^14*c^17*d^3 + 2228*a^8*b^13*c^16*d^4 - 4768*a^9*b^12*c^15*d^5 + 5960*a^10*b^11*c^14*d^6 - 3976*a^11*b^10*c^13*d^7 + 578*a^12*b^9*c^12*d^8 + 1004*a^13*b^8*c^11*d^9 - 442*a^14*b^7*c^10*d^10 - 320*a^15*b^6*c^9*d^11 + 362*a^16*b^5*c^8*d^12 - 132*a^17*b^4*c^7*d^13 + 18*a^18*b^3*c^6*d^14) - ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(8*a^10*b^13*c^19*d^3 - 76*a^11*b^12*c^18*d^4 + 300*a^12*b^11*c^17*d^5 - 612*a^13*b^10*c^16*d^6 + 576*a^14*b^9*c^15*d^7 + 168*a^15*b^8*c^14*d^8 - 1176*a^16*b^7*c^13*d^9 + 1560*a^17*b^6*c^12*d^10 - 1128*a^18*b^5*c^11*d^11 + 484*a^19*b^4*c^10*d^12 - 116*a^20*b^3*c^9*d^13 + 12*a^21*b^2*c^8*d^14 + ((-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^13*c^21*d^2 - 168*a^13*b^12*c^20*d^3 + 800*a^14*b^11*c^19*d^4 - 2280*a^15*b^10*c^18*d^5 + 4320*a^16*b^9*c^17*d^6 - 5712*a^17*b^8*c^16*d^7 + 5376*a^18*b^7*c^15*d^8 - 3600*a^19*b^6*c^14*d^9 + 1680*a^20*b^5*c^13*d^10 - 520*a^21*b^4*c^12*d^11 + 96*a^22*b^3*c^11*d^12 - 8*a^23*b^2*c^10*d^13))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4))))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4)))*(7*a*d - 4*b*c))/(2*(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4))))*(-b^5*(a*d - b*c)^5)^(1/2)*(7*a*d - 4*b*c)*1i)/(a^8*d^5 - a^3*b^5*c^5 + 5*a^4*b^4*c^4*d - 10*a^5*b^3*c^3*d^2 + 10*a^6*b^2*c^2*d^3 - 5*a^7*b*c*d^4) - (atan((a^13*b*c^11*d^13*(c + d*x)^(1/2)*189i - a^14*c^10*d^14*(c + d*x)^(1/2)*27i + a^3*b^11*c^21*d^3*(c + d*x)^(1/2)*140i - a^4*b^10*c^20*d^4*(c + d*x)^(1/2)*1015i + a^5*b^9*c^19*d^5*(c + d*x)^(1/2)*2996i - a^6*b^8*c^18*d^6*(c + d*x)^(1/2)*4375i + a^7*b^7*c^17*d^7*(c + d*x)^(1/2)*2561i + a^8*b^6*c^16*d^8*(c + d*x)^(1/2)*1316i - a^9*b^5*c^15*d^9*(c + d*x)^(1/2)*3073i + a^10*b^4*c^14*d^10*(c + d*x)^(1/2)*1694i + a^11*b^3*c^13*d^11*(c + d*x)^(1/2)*35i - a^12*b^2*c^12*d^12*(c + d*x)^(1/2)*441i)/(c^5*(c^5)^(1/2)*(c^5*(c^5*(2561*a^7*b^7*d^7 - 4375*a^6*b^8*c*d^6 + 140*a^3*b^11*c^4*d^3 - 1015*a^4*b^10*c^3*d^4 + 2996*a^5*b^9*c^2*d^5) - 441*a^12*b^2*d^12 + 35*a^11*b^3*c*d^11 + 1316*a^8*b^6*c^4*d^8 - 3073*a^9*b^5*c^3*d^9 + 1694*a^10*b^4*c^2*d^10) - 27*a^14*c^3*d^14 + 189*a^13*b*c^4*d^13)))*(3*a*d + 4*b*c)*1i)/(a^3*(c^5)^(1/2)) - ((2*d^3)/(b*c^2 - a*c*d) + (d*(c + d*x)^2*(2*b^3*c^2 + 3*a^2*b*d^2 - 2*a*b^2*c*d))/(a^2*(b*c^2 - a*c*d)^2) + (d*(a*d - 2*b*c)*(c + d*x)*(3*a^2*d^2 + b^2*c^2 - a*b*c*d))/(a^2*(b*c^2 - a*c*d)^2))/(b*(c + d*x)^(5/2) + (b*c^2 - a*c*d)*(c + d*x)^(1/2) + (a*d - 2*b*c)*(c + d*x)^(3/2))","B"
478,1,5736,277,3.960685,"\text{Not used}","int(1/(x^2*(a + b*x)^2*(c + d*x)^(5/2)),x)","\frac{\frac{10\,d^3\,\left(a\,d-2\,b\,c\right)\,\left(c+d\,x\right)}{3\,{\left(b\,c^2-a\,c\,d\right)}^2}-\frac{2\,d^3}{3\,\left(b\,c^2-a\,c\,d\right)}+\frac{d\,{\left(c+d\,x\right)}^2\,\left(15\,a^4\,d^4-58\,a^3\,b\,c\,d^3+64\,a^2\,b^2\,c^2\,d^2-12\,a\,b^3\,c^3\,d+6\,b^4\,c^4\right)}{3\,a^2\,{\left(b\,c^2-a\,c\,d\right)}^3}+\frac{d\,\left(a\,d-2\,b\,c\right)\,{\left(c+d\,x\right)}^3\,\left(5\,a^2\,b\,d^2-a\,b^2\,c\,d+b^3\,c^2\right)}{a^2\,{\left(b\,c^2-a\,c\,d\right)}^3}}{b\,{\left(c+d\,x\right)}^{7/2}+\left(b\,c^2-a\,c\,d\right)\,{\left(c+d\,x\right)}^{3/2}+\left(a\,d-2\,b\,c\right)\,{\left(c+d\,x\right)}^{5/2}}-\frac{\mathrm{atan}\left(\frac{a^{19}\,c^{15}\,d^{19}\,\sqrt{c+d\,x}\,125{}\mathrm{i}-a^{18}\,b\,c^{16}\,d^{18}\,\sqrt{c+d\,x}\,1700{}\mathrm{i}+a^3\,b^{16}\,c^{31}\,d^3\,\sqrt{c+d\,x}\,420{}\mathrm{i}-a^4\,b^{15}\,c^{30}\,d^4\,\sqrt{c+d\,x}\,4515{}\mathrm{i}+a^5\,b^{14}\,c^{29}\,d^5\,\sqrt{c+d\,x}\,20916{}\mathrm{i}-a^6\,b^{13}\,c^{28}\,d^6\,\sqrt{c+d\,x}\,52836{}\mathrm{i}+a^7\,b^{12}\,c^{27}\,d^7\,\sqrt{c+d\,x}\,71070{}\mathrm{i}-a^8\,b^{11}\,c^{26}\,d^8\,\sqrt{c+d\,x}\,19530{}\mathrm{i}-a^9\,b^{10}\,c^{25}\,d^9\,\sqrt{c+d\,x}\,107740{}\mathrm{i}+a^{10}\,b^9\,c^{24}\,d^{10}\,\sqrt{c+d\,x}\,212608{}\mathrm{i}-a^{11}\,b^8\,c^{23}\,d^{11}\,\sqrt{c+d\,x}\,184563{}\mathrm{i}+a^{12}\,b^7\,c^{22}\,d^{12}\,\sqrt{c+d\,x}\,40965{}\mathrm{i}+a^{13}\,b^6\,c^{21}\,d^{13}\,\sqrt{c+d\,x}\,91560{}\mathrm{i}-a^{14}\,b^5\,c^{20}\,d^{14}\,\sqrt{c+d\,x}\,126720{}\mathrm{i}+a^{15}\,b^4\,c^{19}\,d^{15}\,\sqrt{c+d\,x}\,87276{}\mathrm{i}-a^{16}\,b^3\,c^{18}\,d^{16}\,\sqrt{c+d\,x}\,37776{}\mathrm{i}+a^{17}\,b^2\,c^{17}\,d^{17}\,\sqrt{c+d\,x}\,10440{}\mathrm{i}}{c^7\,\sqrt{c^7}\,\left(c^7\,\left(c^7\,\left(212608\,a^{10}\,b^9\,d^{10}-107740\,a^9\,b^{10}\,c\,d^9-19530\,a^8\,b^{11}\,c^2\,d^8+71070\,a^7\,b^{12}\,c^3\,d^7-52836\,a^6\,b^{13}\,c^4\,d^6+20916\,a^5\,b^{14}\,c^5\,d^5-4515\,a^4\,b^{15}\,c^6\,d^4+420\,a^3\,b^{16}\,c^7\,d^3\right)+10440\,a^{17}\,b^2\,d^{17}-37776\,a^{16}\,b^3\,c\,d^{16}-184563\,a^{11}\,b^8\,c^6\,d^{11}+40965\,a^{12}\,b^7\,c^5\,d^{12}+91560\,a^{13}\,b^6\,c^4\,d^{13}-126720\,a^{14}\,b^5\,c^3\,d^{14}+87276\,a^{15}\,b^4\,c^2\,d^{15}\right)+125\,a^{19}\,c^5\,d^{19}-1700\,a^{18}\,b\,c^6\,d^{18}\right)}\right)\,\left(5\,a\,d+4\,b\,c\right)\,1{}\mathrm{i}}{a^3\,\sqrt{c^7}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(\sqrt{c+d\,x}\,\left(-50\,a^{23}\,b^3\,c^9\,d^{19}+670\,a^{22}\,b^4\,c^{10}\,d^{18}-4082\,a^{21}\,b^5\,c^{11}\,d^{17}+14830\,a^{20}\,b^6\,c^{12}\,d^{16}-35210\,a^{19}\,b^7\,c^{13}\,d^{15}+55510\,a^{18}\,b^8\,c^{14}\,d^{14}-53852\,a^{17}\,b^9\,c^{15}\,d^{13}+19048\,a^{16}\,b^{10}\,c^{16}\,d^{12}+25730\,a^{15}\,b^{11}\,c^{17}\,d^{11}-39550\,a^{14}\,b^{12}\,c^{18}\,d^{10}+10670\,a^{13}\,b^{13}\,c^{19}\,d^9+29414\,a^{12}\,b^{14}\,c^{20}\,d^8-45430\,a^{11}\,b^{15}\,c^{21}\,d^7+34490\,a^{10}\,b^{16}\,c^{22}\,d^6-16240\,a^9\,b^{17}\,c^{23}\,d^5+4820\,a^8\,b^{18}\,c^{24}\,d^4-832\,a^7\,b^{19}\,c^{25}\,d^3+64\,a^6\,b^{20}\,c^{26}\,d^2\right)+\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{18}\,c^{28}\,d^3-112\,a^{11}\,b^{17}\,c^{27}\,d^4+664\,a^{12}\,b^{16}\,c^{26}\,d^5-2080\,a^{13}\,b^{15}\,c^{25}\,d^6+2996\,a^{14}\,b^{14}\,c^{24}\,d^7+2528\,a^{15}\,b^{13}\,c^{23}\,d^8-23056\,a^{16}\,b^{12}\,c^{22}\,d^9+59312\,a^{17}\,b^{11}\,c^{21}\,d^{10}-95700\,a^{18}\,b^{10}\,c^{20}\,d^{11}+109648\,a^{19}\,b^9\,c^{19}\,d^{12}-92840\,a^{20}\,b^8\,c^{18}\,d^{13}+58688\,a^{21}\,b^7\,c^{17}\,d^{14}-27476\,a^{22}\,b^6\,c^{16}\,d^{15}+9280\,a^{23}\,b^5\,c^{15}\,d^{16}-2144\,a^{24}\,b^4\,c^{14}\,d^{17}+304\,a^{25}\,b^3\,c^{13}\,d^{18}-20\,a^{26}\,b^2\,c^{12}\,d^{19}-\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(8\,a^{28}\,b^2\,c^{15}\,d^{18}-136\,a^{27}\,b^3\,c^{16}\,d^{17}+1080\,a^{26}\,b^4\,c^{17}\,d^{16}-5320\,a^{25}\,b^5\,c^{18}\,d^{15}+18200\,a^{24}\,b^6\,c^{19}\,d^{14}-45864\,a^{23}\,b^7\,c^{20}\,d^{13}+88088\,a^{22}\,b^8\,c^{21}\,d^{12}-131560\,a^{21}\,b^9\,c^{22}\,d^{11}+154440\,a^{20}\,b^{10}\,c^{23}\,d^{10}-143000\,a^{19}\,b^{11}\,c^{24}\,d^9+104104\,a^{18}\,b^{12}\,c^{25}\,d^8-58968\,a^{17}\,b^{13}\,c^{26}\,d^7+25480\,a^{16}\,b^{14}\,c^{27}\,d^6-8120\,a^{15}\,b^{15}\,c^{28}\,d^5+1800\,a^{14}\,b^{16}\,c^{29}\,d^4-248\,a^{13}\,b^{17}\,c^{30}\,d^3+16\,a^{12}\,b^{18}\,c^{31}\,d^2\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)\,1{}\mathrm{i}}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}+\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(\sqrt{c+d\,x}\,\left(-50\,a^{23}\,b^3\,c^9\,d^{19}+670\,a^{22}\,b^4\,c^{10}\,d^{18}-4082\,a^{21}\,b^5\,c^{11}\,d^{17}+14830\,a^{20}\,b^6\,c^{12}\,d^{16}-35210\,a^{19}\,b^7\,c^{13}\,d^{15}+55510\,a^{18}\,b^8\,c^{14}\,d^{14}-53852\,a^{17}\,b^9\,c^{15}\,d^{13}+19048\,a^{16}\,b^{10}\,c^{16}\,d^{12}+25730\,a^{15}\,b^{11}\,c^{17}\,d^{11}-39550\,a^{14}\,b^{12}\,c^{18}\,d^{10}+10670\,a^{13}\,b^{13}\,c^{19}\,d^9+29414\,a^{12}\,b^{14}\,c^{20}\,d^8-45430\,a^{11}\,b^{15}\,c^{21}\,d^7+34490\,a^{10}\,b^{16}\,c^{22}\,d^6-16240\,a^9\,b^{17}\,c^{23}\,d^5+4820\,a^8\,b^{18}\,c^{24}\,d^4-832\,a^7\,b^{19}\,c^{25}\,d^3+64\,a^6\,b^{20}\,c^{26}\,d^2\right)-\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{18}\,c^{28}\,d^3-112\,a^{11}\,b^{17}\,c^{27}\,d^4+664\,a^{12}\,b^{16}\,c^{26}\,d^5-2080\,a^{13}\,b^{15}\,c^{25}\,d^6+2996\,a^{14}\,b^{14}\,c^{24}\,d^7+2528\,a^{15}\,b^{13}\,c^{23}\,d^8-23056\,a^{16}\,b^{12}\,c^{22}\,d^9+59312\,a^{17}\,b^{11}\,c^{21}\,d^{10}-95700\,a^{18}\,b^{10}\,c^{20}\,d^{11}+109648\,a^{19}\,b^9\,c^{19}\,d^{12}-92840\,a^{20}\,b^8\,c^{18}\,d^{13}+58688\,a^{21}\,b^7\,c^{17}\,d^{14}-27476\,a^{22}\,b^6\,c^{16}\,d^{15}+9280\,a^{23}\,b^5\,c^{15}\,d^{16}-2144\,a^{24}\,b^4\,c^{14}\,d^{17}+304\,a^{25}\,b^3\,c^{13}\,d^{18}-20\,a^{26}\,b^2\,c^{12}\,d^{19}+\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(8\,a^{28}\,b^2\,c^{15}\,d^{18}-136\,a^{27}\,b^3\,c^{16}\,d^{17}+1080\,a^{26}\,b^4\,c^{17}\,d^{16}-5320\,a^{25}\,b^5\,c^{18}\,d^{15}+18200\,a^{24}\,b^6\,c^{19}\,d^{14}-45864\,a^{23}\,b^7\,c^{20}\,d^{13}+88088\,a^{22}\,b^8\,c^{21}\,d^{12}-131560\,a^{21}\,b^9\,c^{22}\,d^{11}+154440\,a^{20}\,b^{10}\,c^{23}\,d^{10}-143000\,a^{19}\,b^{11}\,c^{24}\,d^9+104104\,a^{18}\,b^{12}\,c^{25}\,d^8-58968\,a^{17}\,b^{13}\,c^{26}\,d^7+25480\,a^{16}\,b^{14}\,c^{27}\,d^6-8120\,a^{15}\,b^{15}\,c^{28}\,d^5+1800\,a^{14}\,b^{16}\,c^{29}\,d^4-248\,a^{13}\,b^{17}\,c^{30}\,d^3+16\,a^{12}\,b^{18}\,c^{31}\,d^2\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)\,1{}\mathrm{i}}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}}{64\,a^4\,b^{20}\,c^{23}\,d^3-736\,a^5\,b^{19}\,c^{22}\,d^4+4012\,a^6\,b^{18}\,c^{21}\,d^5-13790\,a^7\,b^{17}\,c^{20}\,d^6+32500\,a^8\,b^{16}\,c^{19}\,d^7-51528\,a^9\,b^{15}\,c^{18}\,d^8+45702\,a^{10}\,b^{14}\,c^{17}\,d^9+5916\,a^{11}\,b^{13}\,c^{16}\,d^{10}-83040\,a^{12}\,b^{12}\,c^{15}\,d^{11}+129800\,a^{13}\,b^{11}\,c^{14}\,d^{12}-115136\,a^{14}\,b^{10}\,c^{13}\,d^{13}+65234\,a^{15}\,b^9\,c^{12}\,d^{14}-23428\,a^{16}\,b^8\,c^{11}\,d^{15}+4880\,a^{17}\,b^7\,c^{10}\,d^{16}-450\,a^{18}\,b^6\,c^9\,d^{17}-\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(\sqrt{c+d\,x}\,\left(-50\,a^{23}\,b^3\,c^9\,d^{19}+670\,a^{22}\,b^4\,c^{10}\,d^{18}-4082\,a^{21}\,b^5\,c^{11}\,d^{17}+14830\,a^{20}\,b^6\,c^{12}\,d^{16}-35210\,a^{19}\,b^7\,c^{13}\,d^{15}+55510\,a^{18}\,b^8\,c^{14}\,d^{14}-53852\,a^{17}\,b^9\,c^{15}\,d^{13}+19048\,a^{16}\,b^{10}\,c^{16}\,d^{12}+25730\,a^{15}\,b^{11}\,c^{17}\,d^{11}-39550\,a^{14}\,b^{12}\,c^{18}\,d^{10}+10670\,a^{13}\,b^{13}\,c^{19}\,d^9+29414\,a^{12}\,b^{14}\,c^{20}\,d^8-45430\,a^{11}\,b^{15}\,c^{21}\,d^7+34490\,a^{10}\,b^{16}\,c^{22}\,d^6-16240\,a^9\,b^{17}\,c^{23}\,d^5+4820\,a^8\,b^{18}\,c^{24}\,d^4-832\,a^7\,b^{19}\,c^{25}\,d^3+64\,a^6\,b^{20}\,c^{26}\,d^2\right)+\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{18}\,c^{28}\,d^3-112\,a^{11}\,b^{17}\,c^{27}\,d^4+664\,a^{12}\,b^{16}\,c^{26}\,d^5-2080\,a^{13}\,b^{15}\,c^{25}\,d^6+2996\,a^{14}\,b^{14}\,c^{24}\,d^7+2528\,a^{15}\,b^{13}\,c^{23}\,d^8-23056\,a^{16}\,b^{12}\,c^{22}\,d^9+59312\,a^{17}\,b^{11}\,c^{21}\,d^{10}-95700\,a^{18}\,b^{10}\,c^{20}\,d^{11}+109648\,a^{19}\,b^9\,c^{19}\,d^{12}-92840\,a^{20}\,b^8\,c^{18}\,d^{13}+58688\,a^{21}\,b^7\,c^{17}\,d^{14}-27476\,a^{22}\,b^6\,c^{16}\,d^{15}+9280\,a^{23}\,b^5\,c^{15}\,d^{16}-2144\,a^{24}\,b^4\,c^{14}\,d^{17}+304\,a^{25}\,b^3\,c^{13}\,d^{18}-20\,a^{26}\,b^2\,c^{12}\,d^{19}-\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(8\,a^{28}\,b^2\,c^{15}\,d^{18}-136\,a^{27}\,b^3\,c^{16}\,d^{17}+1080\,a^{26}\,b^4\,c^{17}\,d^{16}-5320\,a^{25}\,b^5\,c^{18}\,d^{15}+18200\,a^{24}\,b^6\,c^{19}\,d^{14}-45864\,a^{23}\,b^7\,c^{20}\,d^{13}+88088\,a^{22}\,b^8\,c^{21}\,d^{12}-131560\,a^{21}\,b^9\,c^{22}\,d^{11}+154440\,a^{20}\,b^{10}\,c^{23}\,d^{10}-143000\,a^{19}\,b^{11}\,c^{24}\,d^9+104104\,a^{18}\,b^{12}\,c^{25}\,d^8-58968\,a^{17}\,b^{13}\,c^{26}\,d^7+25480\,a^{16}\,b^{14}\,c^{27}\,d^6-8120\,a^{15}\,b^{15}\,c^{28}\,d^5+1800\,a^{14}\,b^{16}\,c^{29}\,d^4-248\,a^{13}\,b^{17}\,c^{30}\,d^3+16\,a^{12}\,b^{18}\,c^{31}\,d^2\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}+\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(\sqrt{c+d\,x}\,\left(-50\,a^{23}\,b^3\,c^9\,d^{19}+670\,a^{22}\,b^4\,c^{10}\,d^{18}-4082\,a^{21}\,b^5\,c^{11}\,d^{17}+14830\,a^{20}\,b^6\,c^{12}\,d^{16}-35210\,a^{19}\,b^7\,c^{13}\,d^{15}+55510\,a^{18}\,b^8\,c^{14}\,d^{14}-53852\,a^{17}\,b^9\,c^{15}\,d^{13}+19048\,a^{16}\,b^{10}\,c^{16}\,d^{12}+25730\,a^{15}\,b^{11}\,c^{17}\,d^{11}-39550\,a^{14}\,b^{12}\,c^{18}\,d^{10}+10670\,a^{13}\,b^{13}\,c^{19}\,d^9+29414\,a^{12}\,b^{14}\,c^{20}\,d^8-45430\,a^{11}\,b^{15}\,c^{21}\,d^7+34490\,a^{10}\,b^{16}\,c^{22}\,d^6-16240\,a^9\,b^{17}\,c^{23}\,d^5+4820\,a^8\,b^{18}\,c^{24}\,d^4-832\,a^7\,b^{19}\,c^{25}\,d^3+64\,a^6\,b^{20}\,c^{26}\,d^2\right)-\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\left(8\,a^{10}\,b^{18}\,c^{28}\,d^3-112\,a^{11}\,b^{17}\,c^{27}\,d^4+664\,a^{12}\,b^{16}\,c^{26}\,d^5-2080\,a^{13}\,b^{15}\,c^{25}\,d^6+2996\,a^{14}\,b^{14}\,c^{24}\,d^7+2528\,a^{15}\,b^{13}\,c^{23}\,d^8-23056\,a^{16}\,b^{12}\,c^{22}\,d^9+59312\,a^{17}\,b^{11}\,c^{21}\,d^{10}-95700\,a^{18}\,b^{10}\,c^{20}\,d^{11}+109648\,a^{19}\,b^9\,c^{19}\,d^{12}-92840\,a^{20}\,b^8\,c^{18}\,d^{13}+58688\,a^{21}\,b^7\,c^{17}\,d^{14}-27476\,a^{22}\,b^6\,c^{16}\,d^{15}+9280\,a^{23}\,b^5\,c^{15}\,d^{16}-2144\,a^{24}\,b^4\,c^{14}\,d^{17}+304\,a^{25}\,b^3\,c^{13}\,d^{18}-20\,a^{26}\,b^2\,c^{12}\,d^{19}+\frac{\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,\sqrt{c+d\,x}\,\left(8\,a^{28}\,b^2\,c^{15}\,d^{18}-136\,a^{27}\,b^3\,c^{16}\,d^{17}+1080\,a^{26}\,b^4\,c^{17}\,d^{16}-5320\,a^{25}\,b^5\,c^{18}\,d^{15}+18200\,a^{24}\,b^6\,c^{19}\,d^{14}-45864\,a^{23}\,b^7\,c^{20}\,d^{13}+88088\,a^{22}\,b^8\,c^{21}\,d^{12}-131560\,a^{21}\,b^9\,c^{22}\,d^{11}+154440\,a^{20}\,b^{10}\,c^{23}\,d^{10}-143000\,a^{19}\,b^{11}\,c^{24}\,d^9+104104\,a^{18}\,b^{12}\,c^{25}\,d^8-58968\,a^{17}\,b^{13}\,c^{26}\,d^7+25480\,a^{16}\,b^{14}\,c^{27}\,d^6-8120\,a^{15}\,b^{15}\,c^{28}\,d^5+1800\,a^{14}\,b^{16}\,c^{29}\,d^4-248\,a^{13}\,b^{17}\,c^{30}\,d^3+16\,a^{12}\,b^{18}\,c^{31}\,d^2\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}\right)}{2\,\left(a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7\right)}}\right)\,\sqrt{-b^7\,{\left(a\,d-b\,c\right)}^7}\,\left(9\,a\,d-4\,b\,c\right)\,1{}\mathrm{i}}{a^{10}\,d^7-7\,a^9\,b\,c\,d^6+21\,a^8\,b^2\,c^2\,d^5-35\,a^7\,b^3\,c^3\,d^4+35\,a^6\,b^4\,c^4\,d^3-21\,a^5\,b^5\,c^5\,d^2+7\,a^4\,b^6\,c^6\,d-a^3\,b^7\,c^7}","Not used",1,"((10*d^3*(a*d - 2*b*c)*(c + d*x))/(3*(b*c^2 - a*c*d)^2) - (2*d^3)/(3*(b*c^2 - a*c*d)) + (d*(c + d*x)^2*(15*a^4*d^4 + 6*b^4*c^4 + 64*a^2*b^2*c^2*d^2 - 12*a*b^3*c^3*d - 58*a^3*b*c*d^3))/(3*a^2*(b*c^2 - a*c*d)^3) + (d*(a*d - 2*b*c)*(c + d*x)^3*(b^3*c^2 + 5*a^2*b*d^2 - a*b^2*c*d))/(a^2*(b*c^2 - a*c*d)^3))/(b*(c + d*x)^(7/2) + (b*c^2 - a*c*d)*(c + d*x)^(3/2) + (a*d - 2*b*c)*(c + d*x)^(5/2)) - (atan((a^19*c^15*d^19*(c + d*x)^(1/2)*125i - a^18*b*c^16*d^18*(c + d*x)^(1/2)*1700i + a^3*b^16*c^31*d^3*(c + d*x)^(1/2)*420i - a^4*b^15*c^30*d^4*(c + d*x)^(1/2)*4515i + a^5*b^14*c^29*d^5*(c + d*x)^(1/2)*20916i - a^6*b^13*c^28*d^6*(c + d*x)^(1/2)*52836i + a^7*b^12*c^27*d^7*(c + d*x)^(1/2)*71070i - a^8*b^11*c^26*d^8*(c + d*x)^(1/2)*19530i - a^9*b^10*c^25*d^9*(c + d*x)^(1/2)*107740i + a^10*b^9*c^24*d^10*(c + d*x)^(1/2)*212608i - a^11*b^8*c^23*d^11*(c + d*x)^(1/2)*184563i + a^12*b^7*c^22*d^12*(c + d*x)^(1/2)*40965i + a^13*b^6*c^21*d^13*(c + d*x)^(1/2)*91560i - a^14*b^5*c^20*d^14*(c + d*x)^(1/2)*126720i + a^15*b^4*c^19*d^15*(c + d*x)^(1/2)*87276i - a^16*b^3*c^18*d^16*(c + d*x)^(1/2)*37776i + a^17*b^2*c^17*d^17*(c + d*x)^(1/2)*10440i)/(c^7*(c^7)^(1/2)*(c^7*(c^7*(212608*a^10*b^9*d^10 - 107740*a^9*b^10*c*d^9 + 420*a^3*b^16*c^7*d^3 - 4515*a^4*b^15*c^6*d^4 + 20916*a^5*b^14*c^5*d^5 - 52836*a^6*b^13*c^4*d^6 + 71070*a^7*b^12*c^3*d^7 - 19530*a^8*b^11*c^2*d^8) + 10440*a^17*b^2*d^17 - 37776*a^16*b^3*c*d^16 - 184563*a^11*b^8*c^6*d^11 + 40965*a^12*b^7*c^5*d^12 + 91560*a^13*b^6*c^4*d^13 - 126720*a^14*b^5*c^3*d^14 + 87276*a^15*b^4*c^2*d^15) + 125*a^19*c^5*d^19 - 1700*a^18*b*c^6*d^18)))*(5*a*d + 4*b*c)*1i)/(a^3*(c^7)^(1/2)) + (atan((((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*((c + d*x)^(1/2)*(64*a^6*b^20*c^26*d^2 - 832*a^7*b^19*c^25*d^3 + 4820*a^8*b^18*c^24*d^4 - 16240*a^9*b^17*c^23*d^5 + 34490*a^10*b^16*c^22*d^6 - 45430*a^11*b^15*c^21*d^7 + 29414*a^12*b^14*c^20*d^8 + 10670*a^13*b^13*c^19*d^9 - 39550*a^14*b^12*c^18*d^10 + 25730*a^15*b^11*c^17*d^11 + 19048*a^16*b^10*c^16*d^12 - 53852*a^17*b^9*c^15*d^13 + 55510*a^18*b^8*c^14*d^14 - 35210*a^19*b^7*c^13*d^15 + 14830*a^20*b^6*c^12*d^16 - 4082*a^21*b^5*c^11*d^17 + 670*a^22*b^4*c^10*d^18 - 50*a^23*b^3*c^9*d^19) + ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(8*a^10*b^18*c^28*d^3 - 112*a^11*b^17*c^27*d^4 + 664*a^12*b^16*c^26*d^5 - 2080*a^13*b^15*c^25*d^6 + 2996*a^14*b^14*c^24*d^7 + 2528*a^15*b^13*c^23*d^8 - 23056*a^16*b^12*c^22*d^9 + 59312*a^17*b^11*c^21*d^10 - 95700*a^18*b^10*c^20*d^11 + 109648*a^19*b^9*c^19*d^12 - 92840*a^20*b^8*c^18*d^13 + 58688*a^21*b^7*c^17*d^14 - 27476*a^22*b^6*c^16*d^15 + 9280*a^23*b^5*c^15*d^16 - 2144*a^24*b^4*c^14*d^17 + 304*a^25*b^3*c^13*d^18 - 20*a^26*b^2*c^12*d^19 - ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^18*c^31*d^2 - 248*a^13*b^17*c^30*d^3 + 1800*a^14*b^16*c^29*d^4 - 8120*a^15*b^15*c^28*d^5 + 25480*a^16*b^14*c^27*d^6 - 58968*a^17*b^13*c^26*d^7 + 104104*a^18*b^12*c^25*d^8 - 143000*a^19*b^11*c^24*d^9 + 154440*a^20*b^10*c^23*d^10 - 131560*a^21*b^9*c^22*d^11 + 88088*a^22*b^8*c^21*d^12 - 45864*a^23*b^7*c^20*d^13 + 18200*a^24*b^6*c^19*d^14 - 5320*a^25*b^5*c^18*d^15 + 1080*a^26*b^4*c^17*d^16 - 136*a^27*b^3*c^16*d^17 + 8*a^28*b^2*c^15*d^18))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6)))*1i)/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6)) + ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*((c + d*x)^(1/2)*(64*a^6*b^20*c^26*d^2 - 832*a^7*b^19*c^25*d^3 + 4820*a^8*b^18*c^24*d^4 - 16240*a^9*b^17*c^23*d^5 + 34490*a^10*b^16*c^22*d^6 - 45430*a^11*b^15*c^21*d^7 + 29414*a^12*b^14*c^20*d^8 + 10670*a^13*b^13*c^19*d^9 - 39550*a^14*b^12*c^18*d^10 + 25730*a^15*b^11*c^17*d^11 + 19048*a^16*b^10*c^16*d^12 - 53852*a^17*b^9*c^15*d^13 + 55510*a^18*b^8*c^14*d^14 - 35210*a^19*b^7*c^13*d^15 + 14830*a^20*b^6*c^12*d^16 - 4082*a^21*b^5*c^11*d^17 + 670*a^22*b^4*c^10*d^18 - 50*a^23*b^3*c^9*d^19) - ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(8*a^10*b^18*c^28*d^3 - 112*a^11*b^17*c^27*d^4 + 664*a^12*b^16*c^26*d^5 - 2080*a^13*b^15*c^25*d^6 + 2996*a^14*b^14*c^24*d^7 + 2528*a^15*b^13*c^23*d^8 - 23056*a^16*b^12*c^22*d^9 + 59312*a^17*b^11*c^21*d^10 - 95700*a^18*b^10*c^20*d^11 + 109648*a^19*b^9*c^19*d^12 - 92840*a^20*b^8*c^18*d^13 + 58688*a^21*b^7*c^17*d^14 - 27476*a^22*b^6*c^16*d^15 + 9280*a^23*b^5*c^15*d^16 - 2144*a^24*b^4*c^14*d^17 + 304*a^25*b^3*c^13*d^18 - 20*a^26*b^2*c^12*d^19 + ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^18*c^31*d^2 - 248*a^13*b^17*c^30*d^3 + 1800*a^14*b^16*c^29*d^4 - 8120*a^15*b^15*c^28*d^5 + 25480*a^16*b^14*c^27*d^6 - 58968*a^17*b^13*c^26*d^7 + 104104*a^18*b^12*c^25*d^8 - 143000*a^19*b^11*c^24*d^9 + 154440*a^20*b^10*c^23*d^10 - 131560*a^21*b^9*c^22*d^11 + 88088*a^22*b^8*c^21*d^12 - 45864*a^23*b^7*c^20*d^13 + 18200*a^24*b^6*c^19*d^14 - 5320*a^25*b^5*c^18*d^15 + 1080*a^26*b^4*c^17*d^16 - 136*a^27*b^3*c^16*d^17 + 8*a^28*b^2*c^15*d^18))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6)))*1i)/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6)))/(64*a^4*b^20*c^23*d^3 - 736*a^5*b^19*c^22*d^4 + 4012*a^6*b^18*c^21*d^5 - 13790*a^7*b^17*c^20*d^6 + 32500*a^8*b^16*c^19*d^7 - 51528*a^9*b^15*c^18*d^8 + 45702*a^10*b^14*c^17*d^9 + 5916*a^11*b^13*c^16*d^10 - 83040*a^12*b^12*c^15*d^11 + 129800*a^13*b^11*c^14*d^12 - 115136*a^14*b^10*c^13*d^13 + 65234*a^15*b^9*c^12*d^14 - 23428*a^16*b^8*c^11*d^15 + 4880*a^17*b^7*c^10*d^16 - 450*a^18*b^6*c^9*d^17 - ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*((c + d*x)^(1/2)*(64*a^6*b^20*c^26*d^2 - 832*a^7*b^19*c^25*d^3 + 4820*a^8*b^18*c^24*d^4 - 16240*a^9*b^17*c^23*d^5 + 34490*a^10*b^16*c^22*d^6 - 45430*a^11*b^15*c^21*d^7 + 29414*a^12*b^14*c^20*d^8 + 10670*a^13*b^13*c^19*d^9 - 39550*a^14*b^12*c^18*d^10 + 25730*a^15*b^11*c^17*d^11 + 19048*a^16*b^10*c^16*d^12 - 53852*a^17*b^9*c^15*d^13 + 55510*a^18*b^8*c^14*d^14 - 35210*a^19*b^7*c^13*d^15 + 14830*a^20*b^6*c^12*d^16 - 4082*a^21*b^5*c^11*d^17 + 670*a^22*b^4*c^10*d^18 - 50*a^23*b^3*c^9*d^19) + ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(8*a^10*b^18*c^28*d^3 - 112*a^11*b^17*c^27*d^4 + 664*a^12*b^16*c^26*d^5 - 2080*a^13*b^15*c^25*d^6 + 2996*a^14*b^14*c^24*d^7 + 2528*a^15*b^13*c^23*d^8 - 23056*a^16*b^12*c^22*d^9 + 59312*a^17*b^11*c^21*d^10 - 95700*a^18*b^10*c^20*d^11 + 109648*a^19*b^9*c^19*d^12 - 92840*a^20*b^8*c^18*d^13 + 58688*a^21*b^7*c^17*d^14 - 27476*a^22*b^6*c^16*d^15 + 9280*a^23*b^5*c^15*d^16 - 2144*a^24*b^4*c^14*d^17 + 304*a^25*b^3*c^13*d^18 - 20*a^26*b^2*c^12*d^19 - ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^18*c^31*d^2 - 248*a^13*b^17*c^30*d^3 + 1800*a^14*b^16*c^29*d^4 - 8120*a^15*b^15*c^28*d^5 + 25480*a^16*b^14*c^27*d^6 - 58968*a^17*b^13*c^26*d^7 + 104104*a^18*b^12*c^25*d^8 - 143000*a^19*b^11*c^24*d^9 + 154440*a^20*b^10*c^23*d^10 - 131560*a^21*b^9*c^22*d^11 + 88088*a^22*b^8*c^21*d^12 - 45864*a^23*b^7*c^20*d^13 + 18200*a^24*b^6*c^19*d^14 - 5320*a^25*b^5*c^18*d^15 + 1080*a^26*b^4*c^17*d^16 - 136*a^27*b^3*c^16*d^17 + 8*a^28*b^2*c^15*d^18))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6)) + ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*((c + d*x)^(1/2)*(64*a^6*b^20*c^26*d^2 - 832*a^7*b^19*c^25*d^3 + 4820*a^8*b^18*c^24*d^4 - 16240*a^9*b^17*c^23*d^5 + 34490*a^10*b^16*c^22*d^6 - 45430*a^11*b^15*c^21*d^7 + 29414*a^12*b^14*c^20*d^8 + 10670*a^13*b^13*c^19*d^9 - 39550*a^14*b^12*c^18*d^10 + 25730*a^15*b^11*c^17*d^11 + 19048*a^16*b^10*c^16*d^12 - 53852*a^17*b^9*c^15*d^13 + 55510*a^18*b^8*c^14*d^14 - 35210*a^19*b^7*c^13*d^15 + 14830*a^20*b^6*c^12*d^16 - 4082*a^21*b^5*c^11*d^17 + 670*a^22*b^4*c^10*d^18 - 50*a^23*b^3*c^9*d^19) - ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(8*a^10*b^18*c^28*d^3 - 112*a^11*b^17*c^27*d^4 + 664*a^12*b^16*c^26*d^5 - 2080*a^13*b^15*c^25*d^6 + 2996*a^14*b^14*c^24*d^7 + 2528*a^15*b^13*c^23*d^8 - 23056*a^16*b^12*c^22*d^9 + 59312*a^17*b^11*c^21*d^10 - 95700*a^18*b^10*c^20*d^11 + 109648*a^19*b^9*c^19*d^12 - 92840*a^20*b^8*c^18*d^13 + 58688*a^21*b^7*c^17*d^14 - 27476*a^22*b^6*c^16*d^15 + 9280*a^23*b^5*c^15*d^16 - 2144*a^24*b^4*c^14*d^17 + 304*a^25*b^3*c^13*d^18 - 20*a^26*b^2*c^12*d^19 + ((-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*(c + d*x)^(1/2)*(16*a^12*b^18*c^31*d^2 - 248*a^13*b^17*c^30*d^3 + 1800*a^14*b^16*c^29*d^4 - 8120*a^15*b^15*c^28*d^5 + 25480*a^16*b^14*c^27*d^6 - 58968*a^17*b^13*c^26*d^7 + 104104*a^18*b^12*c^25*d^8 - 143000*a^19*b^11*c^24*d^9 + 154440*a^20*b^10*c^23*d^10 - 131560*a^21*b^9*c^22*d^11 + 88088*a^22*b^8*c^21*d^12 - 45864*a^23*b^7*c^20*d^13 + 18200*a^24*b^6*c^19*d^14 - 5320*a^25*b^5*c^18*d^15 + 1080*a^26*b^4*c^17*d^16 - 136*a^27*b^3*c^16*d^17 + 8*a^28*b^2*c^15*d^18))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))/(2*(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6))))*(-b^7*(a*d - b*c)^7)^(1/2)*(9*a*d - 4*b*c)*1i)/(a^10*d^7 - a^3*b^7*c^7 + 7*a^4*b^6*c^6*d - 21*a^5*b^5*c^5*d^2 + 35*a^6*b^4*c^4*d^3 - 35*a^7*b^3*c^3*d^4 + 21*a^8*b^2*c^2*d^5 - 7*a^9*b*c*d^6)","B"
479,0,-1,192,0.000000,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x)^(1/2),x)","\int x^{5/2}\,\left(A+B\,x\right)\,\sqrt{a+b\,x} \,d x","Not used",1,"int(x^(5/2)*(A + B*x)*(a + b*x)^(1/2), x)","F"
480,0,-1,159,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x)^(1/2),x)","\int x^{3/2}\,\left(A+B\,x\right)\,\sqrt{a+b\,x} \,d x","Not used",1,"int(x^(3/2)*(A + B*x)*(a + b*x)^(1/2), x)","F"
481,1,399,126,11.633761,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x)^(1/2),x)","\frac{\frac{x^{11/2}\,\left(\frac{A\,a^2\,b^4}{2}-\frac{B\,a^3\,b^3}{4}\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}+\frac{x^{9/2}\,\left(\frac{17\,B\,a^3\,b^2}{12}+\frac{5\,A\,a^2\,b^3}{2}\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}-\frac{x^{7/2}\,\left(3\,A\,a^2\,b^2-\frac{19\,B\,a^3\,b}{2}\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{x^{5/2}\,\left(\frac{19\,B\,a^3}{2}-3\,A\,a^2\,b\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{\sqrt{x}\,\left(B\,a^3-2\,A\,a^2\,b\right)}{4\,b^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{x^{3/2}\,\left(17\,B\,a^3+30\,A\,b\,a^2\right)}{12\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{\frac{15\,b^2\,x^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{20\,b^3\,x^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{15\,b^4\,x^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}-\frac{6\,b^5\,x^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{b^6\,x^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}-\frac{6\,b\,x}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+1}-\frac{a^2\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a+b\,x}-\sqrt{a}}\right)\,\left(2\,A\,b-B\,a\right)}{4\,b^{5/2}}","Not used",1,"((x^(11/2)*((A*a^2*b^4)/2 - (B*a^3*b^3)/4))/((a + b*x)^(1/2) - a^(1/2))^11 + (x^(9/2)*((5*A*a^2*b^3)/2 + (17*B*a^3*b^2)/12))/((a + b*x)^(1/2) - a^(1/2))^9 - (x^(7/2)*(3*A*a^2*b^2 - (19*B*a^3*b)/2))/((a + b*x)^(1/2) - a^(1/2))^7 + (x^(5/2)*((19*B*a^3)/2 - 3*A*a^2*b))/((a + b*x)^(1/2) - a^(1/2))^5 - (x^(1/2)*(B*a^3 - 2*A*a^2*b))/(4*b^2*((a + b*x)^(1/2) - a^(1/2))) + (x^(3/2)*(17*B*a^3 + 30*A*a^2*b))/(12*b*((a + b*x)^(1/2) - a^(1/2))^3))/((15*b^2*x^2)/((a + b*x)^(1/2) - a^(1/2))^4 - (20*b^3*x^3)/((a + b*x)^(1/2) - a^(1/2))^6 + (15*b^4*x^4)/((a + b*x)^(1/2) - a^(1/2))^8 - (6*b^5*x^5)/((a + b*x)^(1/2) - a^(1/2))^10 + (b^6*x^6)/((a + b*x)^(1/2) - a^(1/2))^12 - (6*b*x)/((a + b*x)^(1/2) - a^(1/2))^2 + 1) - (a^2*atanh((b^(1/2)*x^(1/2))/((a + b*x)^(1/2) - a^(1/2)))*(2*A*b - B*a))/(4*b^(5/2))","B"
482,1,96,93,1.320144,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(1/2),x)","A\,\sqrt{x}\,\sqrt{a+b\,x}+\frac{2\,A\,a\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a+b\,x}-\sqrt{a}}\right)}{\sqrt{b}}+B\,\sqrt{x}\,\left(\frac{x}{2}+\frac{a}{4\,b}\right)\,\sqrt{a+b\,x}-\frac{B\,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,"A*x^(1/2)*(a + b*x)^(1/2) + (2*A*a*atanh((b^(1/2)*x^(1/2))/((a + b*x)^(1/2) - a^(1/2))))/b^(1/2) + B*x^(1/2)*(x/2 + a/(4*b))*(a + b*x)^(1/2) - (B*a^2*log(a + 2*b*x + 2*b^(1/2)*x^(1/2)*(a + b*x)^(1/2)))/(8*b^(3/2))","B"
483,0,-1,82,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{a+b\,x}}{x^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(1/2))/x^(3/2), x)","F"
484,0,-1,69,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(5/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{a+b\,x}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(1/2))/x^(5/2), x)","F"
485,1,54,53,0.667890,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(7/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{5}-\frac{x^2\,\left(4\,A\,b^2-10\,B\,a\,b\right)}{15\,a^2}+\frac{x\,\left(10\,B\,a^2+2\,A\,b\,a\right)}{15\,a^2}\right)}{x^{5/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/5 - (x^2*(4*A*b^2 - 10*B*a*b))/(15*a^2) + (x*(10*B*a^2 + 2*A*a*b))/(15*a^2)))/x^(5/2)","B"
486,1,76,84,0.696401,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(9/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{7}+\frac{x\,\left(42\,B\,a^3+6\,A\,b\,a^2\right)}{105\,a^3}+\frac{x^3\,\left(16\,A\,b^3-28\,B\,a\,b^2\right)}{105\,a^3}-\frac{2\,b\,x^2\,\left(4\,A\,b-7\,B\,a\right)}{105\,a^2}\right)}{x^{7/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/7 + (x*(42*B*a^3 + 6*A*a^2*b))/(105*a^3) + (x^3*(16*A*b^3 - 28*B*a*b^2))/(105*a^3) - (2*b*x^2*(4*A*b - 7*B*a))/(105*a^2)))/x^(7/2)","B"
487,1,96,117,0.739553,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(11/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{9}+\frac{x\,\left(90\,B\,a^4+10\,A\,b\,a^3\right)}{315\,a^4}-\frac{x^4\,\left(32\,A\,b^4-48\,B\,a\,b^3\right)}{315\,a^4}+\frac{8\,b^2\,x^3\,\left(2\,A\,b-3\,B\,a\right)}{315\,a^3}-\frac{2\,b\,x^2\,\left(2\,A\,b-3\,B\,a\right)}{105\,a^2}\right)}{x^{9/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/9 + (x*(90*B*a^4 + 10*A*a^3*b))/(315*a^4) - (x^4*(32*A*b^4 - 48*B*a*b^3))/(315*a^4) + (8*b^2*x^3*(2*A*b - 3*B*a))/(315*a^3) - (2*b*x^2*(2*A*b - 3*B*a))/(105*a^2)))/x^(9/2)","B"
488,1,116,150,0.779913,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(13/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{11}+\frac{x\,\left(770\,B\,a^5+70\,A\,b\,a^4\right)}{3465\,a^5}+\frac{x^5\,\left(256\,A\,b^5-352\,B\,a\,b^4\right)}{3465\,a^5}+\frac{4\,b^2\,x^3\,\left(8\,A\,b-11\,B\,a\right)}{1155\,a^3}-\frac{16\,b^3\,x^4\,\left(8\,A\,b-11\,B\,a\right)}{3465\,a^4}-\frac{2\,b\,x^2\,\left(8\,A\,b-11\,B\,a\right)}{693\,a^2}\right)}{x^{11/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/11 + (x*(770*B*a^5 + 70*A*a^4*b))/(3465*a^5) + (x^5*(256*A*b^5 - 352*B*a*b^4))/(3465*a^5) + (4*b^2*x^3*(8*A*b - 11*B*a))/(1155*a^3) - (16*b^3*x^4*(8*A*b - 11*B*a))/(3465*a^4) - (2*b*x^2*(8*A*b - 11*B*a))/(693*a^2)))/x^(11/2)","B"
489,1,128,183,0.799807,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/x^(15/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{13}+\frac{2\,x\,\left(A\,b+13\,B\,a\right)}{143\,a}+\frac{16\,b^2\,x^3\,\left(10\,A\,b-13\,B\,a\right)}{9009\,a^3}-\frac{32\,b^3\,x^4\,\left(10\,A\,b-13\,B\,a\right)}{15015\,a^4}+\frac{128\,b^4\,x^5\,\left(10\,A\,b-13\,B\,a\right)}{45045\,a^5}-\frac{256\,b^5\,x^6\,\left(10\,A\,b-13\,B\,a\right)}{45045\,a^6}-\frac{2\,b\,x^2\,\left(10\,A\,b-13\,B\,a\right)}{1287\,a^2}\right)}{x^{13/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/13 + (2*x*(A*b + 13*B*a))/(143*a) + (16*b^2*x^3*(10*A*b - 13*B*a))/(9009*a^3) - (32*b^3*x^4*(10*A*b - 13*B*a))/(15015*a^4) + (128*b^4*x^5*(10*A*b - 13*B*a))/(45045*a^5) - (256*b^5*x^6*(10*A*b - 13*B*a))/(45045*a^6) - (2*b*x^2*(10*A*b - 13*B*a))/(1287*a^2)))/x^(13/2)","B"
490,0,-1,225,0.000000,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x)^(3/2),x)","\int x^{5/2}\,\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(A + B*x)*(a + b*x)^(3/2), x)","F"
491,0,-1,192,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x)^(3/2),x)","\int x^{3/2}\,\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(A + B*x)*(a + b*x)^(3/2), x)","F"
492,0,-1,159,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x)^(3/2),x)","\int \sqrt{x}\,\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(A + B*x)*(a + b*x)^(3/2), x)","F"
493,0,-1,126,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/x^(1/2), x)","F"
494,0,-1,115,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/x^(3/2), x)","F"
495,0,-1,117,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/x^(5/2), x)","F"
496,0,-1,89,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/x^(7/2), x)","F"
497,1,76,53,0.760433,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(9/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a}{7}+\frac{x\,\left(14\,B\,a^3+16\,A\,b\,a^2\right)}{35\,a^2}-\frac{x^3\,\left(4\,A\,b^3-14\,B\,a\,b^2\right)}{35\,a^2}+\frac{2\,b\,x^2\,\left(A\,b+14\,B\,a\right)}{35\,a}\right)}{x^{7/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a)/7 + (x*(14*B*a^3 + 16*A*a^2*b))/(35*a^2) - (x^3*(4*A*b^3 - 14*B*a*b^2))/(35*a^2) + (2*b*x^2*(A*b + 14*B*a))/(35*a)))/x^(7/2)","B"
498,1,96,84,0.789791,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(11/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a}{9}+\frac{x\,\left(90\,B\,a^4+100\,A\,b\,a^3\right)}{315\,a^3}+\frac{x^4\,\left(16\,A\,b^4-36\,B\,a\,b^3\right)}{315\,a^3}-\frac{2\,b^2\,x^3\,\left(4\,A\,b-9\,B\,a\right)}{315\,a^2}+\frac{2\,b\,x^2\,\left(A\,b+24\,B\,a\right)}{105\,a}\right)}{x^{9/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a)/9 + (x*(90*B*a^4 + 100*A*a^3*b))/(315*a^3) + (x^4*(16*A*b^4 - 36*B*a*b^3))/(315*a^3) - (2*b^2*x^3*(4*A*b - 9*B*a))/(315*a^2) + (2*b*x^2*(A*b + 24*B*a))/(105*a)))/x^(9/2)","B"
499,1,117,117,0.851284,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(13/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a}{11}+\frac{x\,\left(770\,B\,a^5+840\,A\,b\,a^4\right)}{3465\,a^4}-\frac{x^5\,\left(96\,A\,b^5-176\,B\,a\,b^4\right)}{3465\,a^4}-\frac{2\,b^2\,x^3\,\left(6\,A\,b-11\,B\,a\right)}{1155\,a^2}+\frac{8\,b^3\,x^4\,\left(6\,A\,b-11\,B\,a\right)}{3465\,a^3}+\frac{2\,b\,x^2\,\left(3\,A\,b+110\,B\,a\right)}{693\,a}\right)}{x^{11/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a)/11 + (x*(770*B*a^5 + 840*A*a^4*b))/(3465*a^4) - (x^5*(96*A*b^5 - 176*B*a*b^4))/(3465*a^4) - (2*b^2*x^3*(6*A*b - 11*B*a))/(1155*a^2) + (8*b^3*x^4*(6*A*b - 11*B*a))/(3465*a^3) + (2*b*x^2*(3*A*b + 110*B*a))/(693*a)))/x^(11/2)","B"
500,1,127,150,0.843752,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(15/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a}{13}+x\,\left(\frac{28\,A\,b}{143}+\frac{2\,B\,a}{11}\right)+\frac{x^6\,\left(256\,A\,b^6-416\,B\,a\,b^5\right)}{15015\,a^5}-\frac{2\,b^2\,x^3\,\left(8\,A\,b-13\,B\,a\right)}{3003\,a^2}+\frac{4\,b^3\,x^4\,\left(8\,A\,b-13\,B\,a\right)}{5005\,a^3}-\frac{16\,b^4\,x^5\,\left(8\,A\,b-13\,B\,a\right)}{15015\,a^4}+\frac{2\,b\,x^2\,\left(A\,b+52\,B\,a\right)}{429\,a}\right)}{x^{13/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a)/13 + x*((28*A*b)/143 + (2*B*a)/11) + (x^6*(256*A*b^6 - 416*B*a*b^5))/(15015*a^5) - (2*b^2*x^3*(8*A*b - 13*B*a))/(3003*a^2) + (4*b^3*x^4*(8*A*b - 13*B*a))/(5005*a^3) - (16*b^4*x^5*(8*A*b - 13*B*a))/(15015*a^4) + (2*b*x^2*(A*b + 52*B*a))/(429*a)))/x^(13/2)","B"
501,1,147,183,1.003967,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/x^(17/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a}{15}+x\,\left(\frac{32\,A\,b}{195}+\frac{2\,B\,a}{13}\right)-\frac{x^7\,\left(512\,A\,b^7-768\,B\,a\,b^6\right)}{45045\,a^6}-\frac{2\,b^2\,x^3\,\left(2\,A\,b-3\,B\,a\right)}{1287\,a^2}+\frac{16\,b^3\,x^4\,\left(2\,A\,b-3\,B\,a\right)}{9009\,a^3}-\frac{32\,b^4\,x^5\,\left(2\,A\,b-3\,B\,a\right)}{15015\,a^4}+\frac{128\,b^5\,x^6\,\left(2\,A\,b-3\,B\,a\right)}{45045\,a^5}+\frac{2\,b\,x^2\,\left(A\,b+70\,B\,a\right)}{715\,a}\right)}{x^{15/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a)/15 + x*((32*A*b)/195 + (2*B*a)/13) - (x^7*(512*A*b^7 - 768*B*a*b^6))/(45045*a^6) - (2*b^2*x^3*(2*A*b - 3*B*a))/(1287*a^2) + (16*b^3*x^4*(2*A*b - 3*B*a))/(9009*a^3) - (32*b^4*x^5*(2*A*b - 3*B*a))/(15015*a^4) + (128*b^5*x^6*(2*A*b - 3*B*a))/(45045*a^5) + (2*b*x^2*(A*b + 70*B*a))/(715*a)))/x^(15/2)","B"
502,0,-1,225,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x)^(5/2),x)","\int x^{3/2}\,\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(A + B*x)*(a + b*x)^(5/2), x)","F"
503,0,-1,192,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x)^(5/2),x)","\int \sqrt{x}\,\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(A + B*x)*(a + b*x)^(5/2), x)","F"
504,0,-1,159,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/x^(1/2), x)","F"
505,0,-1,144,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{x^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/x^(3/2), x)","F"
506,0,-1,152,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/x^(5/2), x)","F"
507,0,-1,150,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/x^(7/2), x)","F"
508,0,-1,111,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(9/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{x^{9/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/x^(9/2), x)","F"
509,1,95,53,0.862749,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(11/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a^2}{9}+\frac{x\,\left(18\,B\,a^4+38\,A\,b\,a^3\right)}{63\,a^2}-\frac{x^4\,\left(4\,A\,b^4-18\,B\,a\,b^3\right)}{63\,a^2}+\frac{2\,b\,x^2\,\left(5\,A\,b+9\,B\,a\right)}{21}+\frac{2\,b^2\,x^3\,\left(A\,b+27\,B\,a\right)}{63\,a}\right)}{x^{9/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a^2)/9 + (x*(18*B*a^4 + 38*A*a^3*b))/(63*a^2) - (x^4*(4*A*b^4 - 18*B*a*b^3))/(63*a^2) + (2*b*x^2*(5*A*b + 9*B*a))/21 + (2*b^2*x^3*(A*b + 27*B*a))/(63*a)))/x^(9/2)","B"
510,1,115,84,0.833483,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(13/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a^2}{11}+\frac{x\,\left(154\,B\,a^5+322\,A\,b\,a^4\right)}{693\,a^3}+\frac{x^5\,\left(16\,A\,b^5-44\,B\,a\,b^4\right)}{693\,a^3}+\frac{2\,b\,x^2\,\left(113\,A\,b+209\,B\,a\right)}{693}-\frac{2\,b^3\,x^4\,\left(4\,A\,b-11\,B\,a\right)}{693\,a^2}+\frac{2\,b^2\,x^3\,\left(A\,b+55\,B\,a\right)}{231\,a}\right)}{x^{11/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a^2)/11 + (x*(154*B*a^5 + 322*A*a^4*b))/(693*a^3) + (x^5*(16*A*b^5 - 44*B*a*b^4))/(693*a^3) + (2*b*x^2*(113*A*b + 209*B*a))/693 - (2*b^3*x^4*(4*A*b - 11*B*a))/(693*a^2) + (2*b^2*x^3*(A*b + 55*B*a))/(231*a)))/x^(11/2)","B"
511,1,136,117,0.945970,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(15/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a^2}{13}+\frac{x\,\left(1638\,B\,a^6+3402\,A\,b\,a^5\right)}{9009\,a^4}-\frac{x^6\,\left(96\,A\,b^6-208\,B\,a\,b^5\right)}{9009\,a^4}+\frac{2\,b\,x^2\,\left(159\,A\,b+299\,B\,a\right)}{1287}-\frac{2\,b^3\,x^4\,\left(6\,A\,b-13\,B\,a\right)}{3003\,a^2}+\frac{8\,b^4\,x^5\,\left(6\,A\,b-13\,B\,a\right)}{9009\,a^3}+\frac{2\,b^2\,x^3\,\left(15\,A\,b+1469\,B\,a\right)}{9009\,a}\right)}{x^{13/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a^2)/13 + (x*(1638*B*a^6 + 3402*A*a^5*b))/(9009*a^4) - (x^6*(96*A*b^6 - 208*B*a*b^5))/(9009*a^4) + (2*b*x^2*(159*A*b + 299*B*a))/1287 - (2*b^3*x^4*(6*A*b - 13*B*a))/(3003*a^2) + (8*b^4*x^5*(6*A*b - 13*B*a))/(9009*a^3) + (2*b^2*x^3*(15*A*b + 1469*B*a))/(9009*a)))/x^(13/2)","B"
512,1,148,150,1.000278,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(17/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a^2}{15}+\frac{x^7\,\left(256\,A\,b^7-480\,B\,a\,b^6\right)}{45045\,a^5}+\frac{2\,a\,x\,\left(31\,A\,b+15\,B\,a\right)}{195}+\frac{2\,b\,x^2\,\left(71\,A\,b+135\,B\,a\right)}{715}-\frac{2\,b^3\,x^4\,\left(8\,A\,b-15\,B\,a\right)}{9009\,a^2}+\frac{4\,b^4\,x^5\,\left(8\,A\,b-15\,B\,a\right)}{15015\,a^3}-\frac{16\,b^5\,x^6\,\left(8\,A\,b-15\,B\,a\right)}{45045\,a^4}+\frac{2\,b^2\,x^3\,\left(A\,b+159\,B\,a\right)}{1287\,a}\right)}{x^{15/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a^2)/15 + (x^7*(256*A*b^7 - 480*B*a*b^6))/(45045*a^5) + (2*a*x*(31*A*b + 15*B*a))/195 + (2*b*x^2*(71*A*b + 135*B*a))/715 - (2*b^3*x^4*(8*A*b - 15*B*a))/(9009*a^2) + (4*b^4*x^5*(8*A*b - 15*B*a))/(15015*a^3) - (16*b^5*x^6*(8*A*b - 15*B*a))/(45045*a^4) + (2*b^2*x^3*(A*b + 159*B*a))/(1287*a)))/x^(15/2)","B"
513,1,167,183,1.022391,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/x^(19/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A\,a^2}{17}+\frac{2\,a\,x\,\left(35\,A\,b+17\,B\,a\right)}{255}+\frac{2\,b\,x^2\,\left(275\,A\,b+527\,B\,a\right)}{3315}-\frac{2\,b^3\,x^4\,\left(10\,A\,b-17\,B\,a\right)}{21879\,a^2}+\frac{16\,b^4\,x^5\,\left(10\,A\,b-17\,B\,a\right)}{153153\,a^3}-\frac{32\,b^5\,x^6\,\left(10\,A\,b-17\,B\,a\right)}{255255\,a^4}+\frac{128\,b^6\,x^7\,\left(10\,A\,b-17\,B\,a\right)}{765765\,a^5}-\frac{256\,b^7\,x^8\,\left(10\,A\,b-17\,B\,a\right)}{765765\,a^6}+\frac{2\,b^2\,x^3\,\left(5\,A\,b+1207\,B\,a\right)}{12155\,a}\right)}{x^{17/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A*a^2)/17 + (2*a*x*(35*A*b + 17*B*a))/255 + (2*b*x^2*(275*A*b + 527*B*a))/3315 - (2*b^3*x^4*(10*A*b - 17*B*a))/(21879*a^2) + (16*b^4*x^5*(10*A*b - 17*B*a))/(153153*a^3) - (32*b^5*x^6*(10*A*b - 17*B*a))/(255255*a^4) + (128*b^6*x^7*(10*A*b - 17*B*a))/(765765*a^5) - (256*b^7*x^8*(10*A*b - 17*B*a))/(765765*a^6) + (2*b^2*x^3*(5*A*b + 1207*B*a))/(12155*a)))/x^(17/2)","B"
514,0,-1,192,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x)^(1/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(a + b*x)^(1/2), x)","F"
515,0,-1,159,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x)^(1/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(a + b*x)^(1/2), x)","F"
516,0,-1,126,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x)^(1/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(a + b*x)^(1/2), x)","F"
517,1,267,93,5.061745,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x)^(1/2),x)","\frac{\frac{x^{7/2}\,\left(2\,A\,a\,b^2-\frac{3\,B\,a^2\,b}{2}\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{x^{5/2}\,\left(\frac{11\,B\,a^2}{2}-2\,A\,a\,b\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{\sqrt{x}\,\left(3\,B\,a^2-4\,A\,a\,b\right)}{2\,b^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{x^{3/2}\,\left(11\,B\,a^2-4\,A\,a\,b\right)}{2\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{\frac{6\,b^2\,x^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{4\,b^3\,x^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{b^4\,x^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}-\frac{4\,b\,x}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+1}-\frac{a\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a+b\,x}-\sqrt{a}}\right)\,\left(4\,A\,b-3\,B\,a\right)}{2\,b^{5/2}}","Not used",1,"((x^(7/2)*(2*A*a*b^2 - (3*B*a^2*b)/2))/((a + b*x)^(1/2) - a^(1/2))^7 + (x^(5/2)*((11*B*a^2)/2 - 2*A*a*b))/((a + b*x)^(1/2) - a^(1/2))^5 - (x^(1/2)*(3*B*a^2 - 4*A*a*b))/(2*b^2*((a + b*x)^(1/2) - a^(1/2))) + (x^(3/2)*(11*B*a^2 - 4*A*a*b))/(2*b*((a + b*x)^(1/2) - a^(1/2))^3))/((6*b^2*x^2)/((a + b*x)^(1/2) - a^(1/2))^4 - (4*b^3*x^3)/((a + b*x)^(1/2) - a^(1/2))^6 + (b^4*x^4)/((a + b*x)^(1/2) - a^(1/2))^8 - (4*b*x)/((a + b*x)^(1/2) - a^(1/2))^2 + 1) - (a*atanh((b^(1/2)*x^(1/2))/((a + b*x)^(1/2) - a^(1/2)))*(4*A*b - 3*B*a))/(2*b^(5/2))","B"
518,1,77,56,1.352407,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x)^(1/2)),x)","\frac{B\,\sqrt{x}\,\sqrt{a+b\,x}}{b}-\frac{2\,B\,a\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a+b\,x}-\sqrt{a}}\right)}{b^{3/2}}-\frac{4\,A\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{-b}\,\sqrt{x}}\right)}{\sqrt{-b}}","Not used",1,"(B*x^(1/2)*(a + b*x)^(1/2))/b - (2*B*a*atanh((b^(1/2)*x^(1/2))/((a + b*x)^(1/2) - a^(1/2))))/b^(3/2) - (4*A*atan(((a + b*x)^(1/2) - a^(1/2))/((-b)^(1/2)*x^(1/2))))/(-b)^(1/2)","B"
519,1,48,50,1.072758,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x)^(1/2)),x)","-\frac{4\,B\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{-b}\,\sqrt{x}}\right)}{\sqrt{-b}}-\frac{2\,A\,\sqrt{a+b\,x}}{a\,\sqrt{x}}","Not used",1,"- (4*B*atan(((a + b*x)^(1/2) - a^(1/2))/((-b)^(1/2)*x^(1/2))))/(-b)^(1/2) - (2*A*(a + b*x)^(1/2))/(a*x^(1/2))","B"
520,1,34,53,0.814376,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x)^(1/2)),x)","-\frac{\left(\frac{2\,A}{3\,a}-\frac{x\,\left(4\,A\,b-6\,B\,a\right)}{3\,a^2}\right)\,\sqrt{a+b\,x}}{x^{3/2}}","Not used",1,"-(((2*A)/(3*a) - (x*(4*A*b - 6*B*a))/(3*a^2))*(a + b*x)^(1/2))/x^(3/2)","B"
521,1,57,84,0.869675,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{5\,a}+\frac{x^2\,\left(16\,A\,b^2-20\,B\,a\,b\right)}{15\,a^3}+\frac{x\,\left(10\,B\,a^2-8\,A\,a\,b\right)}{15\,a^3}\right)}{x^{5/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(5*a) + (x^2*(16*A*b^2 - 20*B*a*b))/(15*a^3) + (x*(10*B*a^2 - 8*A*a*b))/(15*a^3)))/x^(5/2)","B"
522,1,79,117,0.900824,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{7\,a}+\frac{x\,\left(42\,B\,a^3-36\,A\,a^2\,b\right)}{105\,a^4}-\frac{x^3\,\left(96\,A\,b^3-112\,B\,a\,b^2\right)}{105\,a^4}+\frac{8\,b\,x^2\,\left(6\,A\,b-7\,B\,a\right)}{105\,a^3}\right)}{x^{7/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(7*a) + (x*(42*B*a^3 - 36*A*a^2*b))/(105*a^4) - (x^3*(96*A*b^3 - 112*B*a*b^2))/(105*a^4) + (8*b*x^2*(6*A*b - 7*B*a))/(105*a^3)))/x^(7/2)","B"
523,1,99,150,0.959864,"\text{Not used}","int((A + B*x)/(x^(11/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{9\,a}+\frac{x\,\left(90\,B\,a^4-80\,A\,a^3\,b\right)}{315\,a^5}+\frac{x^4\,\left(256\,A\,b^4-288\,B\,a\,b^3\right)}{315\,a^5}-\frac{16\,b^2\,x^3\,\left(8\,A\,b-9\,B\,a\right)}{315\,a^4}+\frac{4\,b\,x^2\,\left(8\,A\,b-9\,B\,a\right)}{105\,a^3}\right)}{x^{9/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(9*a) + (x*(90*B*a^4 - 80*A*a^3*b))/(315*a^5) + (x^4*(256*A*b^4 - 288*B*a*b^3))/(315*a^5) - (16*b^2*x^3*(8*A*b - 9*B*a))/(315*a^4) + (4*b*x^2*(8*A*b - 9*B*a))/(105*a^3)))/x^(9/2)","B"
524,1,117,183,1.053375,"\text{Not used}","int((A + B*x)/(x^(13/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{11\,a}+\frac{x\,\left(770\,B\,a^5-700\,A\,a^4\,b\right)}{3465\,a^6}-\frac{32\,b^2\,x^3\,\left(10\,A\,b-11\,B\,a\right)}{1155\,a^4}+\frac{128\,b^3\,x^4\,\left(10\,A\,b-11\,B\,a\right)}{3465\,a^5}-\frac{256\,b^4\,x^5\,\left(10\,A\,b-11\,B\,a\right)}{3465\,a^6}+\frac{16\,b\,x^2\,\left(10\,A\,b-11\,B\,a\right)}{693\,a^3}\right)}{x^{11/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(11*a) + (x*(770*B*a^5 - 700*A*a^4*b))/(3465*a^6) - (32*b^2*x^3*(10*A*b - 11*B*a))/(1155*a^4) + (128*b^3*x^4*(10*A*b - 11*B*a))/(3465*a^5) - (256*b^4*x^5*(10*A*b - 11*B*a))/(3465*a^6) + (16*b*x^2*(10*A*b - 11*B*a))/(693*a^3)))/x^(11/2)","B"
525,1,137,216,1.039832,"\text{Not used}","int((A + B*x)/(x^(15/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{13\,a}+\frac{x\,\left(1638\,B\,a^6-1512\,A\,a^5\,b\right)}{9009\,a^7}-\frac{160\,b^2\,x^3\,\left(12\,A\,b-13\,B\,a\right)}{9009\,a^4}+\frac{64\,b^3\,x^4\,\left(12\,A\,b-13\,B\,a\right)}{3003\,a^5}-\frac{256\,b^4\,x^5\,\left(12\,A\,b-13\,B\,a\right)}{9009\,a^6}+\frac{512\,b^5\,x^6\,\left(12\,A\,b-13\,B\,a\right)}{9009\,a^7}+\frac{20\,b\,x^2\,\left(12\,A\,b-13\,B\,a\right)}{1287\,a^3}\right)}{x^{13/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(13*a) + (x*(1638*B*a^6 - 1512*A*a^5*b))/(9009*a^7) - (160*b^2*x^3*(12*A*b - 13*B*a))/(9009*a^4) + (64*b^3*x^4*(12*A*b - 13*B*a))/(3003*a^5) - (256*b^4*x^5*(12*A*b - 13*B*a))/(9009*a^6) + (512*b^5*x^6*(12*A*b - 13*B*a))/(9009*a^7) + (20*b*x^2*(12*A*b - 13*B*a))/(1287*a^3)))/x^(13/2)","B"
526,0,-1,200,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x)^(3/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(a + b*x)^(3/2), x)","F"
527,0,-1,167,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x)^(3/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(a + b*x)^(3/2), x)","F"
528,0,-1,134,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x)^(3/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(a + b*x)^(3/2), x)","F"
529,0,-1,98,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x)^(3/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(a + b*x)^(3/2), x)","F"
530,0,-1,60,0.000000,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{x}\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(1/2)*(a + b*x)^(3/2)), x)","F"
531,1,50,49,0.902309,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x)^(3/2)),x)","-\frac{\left(\frac{2\,A}{a\,b}+\frac{x\,\left(4\,A\,b-2\,B\,a\right)}{a^2\,b}\right)\,\sqrt{a+b\,x}}{x^{3/2}+\frac{a\,\sqrt{x}}{b}}","Not used",1,"-(((2*A)/(a*b) + (x*(4*A*b - 2*B*a))/(a^2*b))*(a + b*x)^(1/2))/(x^(3/2) + (a*x^(1/2))/b)","B"
532,1,77,83,0.928796,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x)^(3/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{3\,a\,b}+\frac{x\,\left(6\,B\,a^2-8\,A\,a\,b\right)}{3\,a^3\,b}-\frac{x^2\,\left(16\,A\,b^2-12\,B\,a\,b\right)}{3\,a^3\,b}\right)}{x^{5/2}+\frac{a\,x^{3/2}}{b}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(3*a*b) + (x*(6*B*a^2 - 8*A*a*b))/(3*a^3*b) - (x^2*(16*A*b^2 - 12*B*a*b))/(3*a^3*b)))/(x^(5/2) + (a*x^(3/2))/b)","B"
533,1,98,114,0.910632,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x)^(3/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{5\,a\,b}+\frac{8\,x^2\,\left(6\,A\,b-5\,B\,a\right)}{15\,a^3}+\frac{x^3\,\left(96\,A\,b^3-80\,B\,a\,b^2\right)}{15\,a^4\,b}+\frac{x\,\left(10\,B\,a^3-12\,A\,a^2\,b\right)}{15\,a^4\,b}\right)}{x^{7/2}+\frac{a\,x^{5/2}}{b}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(5*a*b) + (8*x^2*(6*A*b - 5*B*a))/(15*a^3) + (x^3*(96*A*b^3 - 80*B*a*b^2))/(15*a^4*b) + (x*(10*B*a^3 - 12*A*a^2*b))/(15*a^4*b)))/(x^(7/2) + (a*x^(5/2))/b)","B"
534,1,116,147,0.940322,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + b*x)^(3/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{7\,a\,b}+\frac{4\,x^2\,\left(8\,A\,b-7\,B\,a\right)}{35\,a^3}-\frac{x^4\,\left(256\,A\,b^4-224\,B\,a\,b^3\right)}{35\,a^5\,b}-\frac{16\,b\,x^3\,\left(8\,A\,b-7\,B\,a\right)}{35\,a^4}+\frac{x\,\left(14\,B\,a^4-16\,A\,a^3\,b\right)}{35\,a^5\,b}\right)}{x^{9/2}+\frac{a\,x^{7/2}}{b}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(7*a*b) + (4*x^2*(8*A*b - 7*B*a))/(35*a^3) - (x^4*(256*A*b^4 - 224*B*a*b^3))/(35*a^5*b) - (16*b*x^3*(8*A*b - 7*B*a))/(35*a^4) + (x*(14*B*a^4 - 16*A*a^3*b))/(35*a^5*b)))/(x^(9/2) + (a*x^(7/2))/b)","B"
535,1,131,180,1.002701,"\text{Not used}","int((A + B*x)/(x^(11/2)*(a + b*x)^(3/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{9\,a\,b}+\frac{16\,x^2\,\left(10\,A\,b-9\,B\,a\right)}{315\,a^3}+\frac{128\,b^2\,x^4\,\left(10\,A\,b-9\,B\,a\right)}{315\,a^5}+\frac{256\,b^3\,x^5\,\left(10\,A\,b-9\,B\,a\right)}{315\,a^6}-\frac{32\,b\,x^3\,\left(10\,A\,b-9\,B\,a\right)}{315\,a^4}+\frac{x\,\left(90\,B\,a^5-100\,A\,a^4\,b\right)}{315\,a^6\,b}\right)}{x^{11/2}+\frac{a\,x^{9/2}}{b}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(9*a*b) + (16*x^2*(10*A*b - 9*B*a))/(315*a^3) + (128*b^2*x^4*(10*A*b - 9*B*a))/(315*a^5) + (256*b^3*x^5*(10*A*b - 9*B*a))/(315*a^6) - (32*b*x^3*(10*A*b - 9*B*a))/(315*a^4) + (x*(90*B*a^5 - 100*A*a^4*b))/(315*a^6*b)))/(x^(11/2) + (a*x^(9/2))/b)","B"
536,1,151,213,1.016587,"\text{Not used}","int((A + B*x)/(x^(13/2)*(a + b*x)^(3/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{11\,a\,b}+\frac{20\,x^2\,\left(12\,A\,b-11\,B\,a\right)}{693\,a^3}+\frac{64\,b^2\,x^4\,\left(12\,A\,b-11\,B\,a\right)}{693\,a^5}-\frac{256\,b^3\,x^5\,\left(12\,A\,b-11\,B\,a\right)}{693\,a^6}-\frac{512\,b^4\,x^6\,\left(12\,A\,b-11\,B\,a\right)}{693\,a^7}-\frac{32\,b\,x^3\,\left(12\,A\,b-11\,B\,a\right)}{693\,a^4}+\frac{x\,\left(154\,B\,a^6-168\,A\,a^5\,b\right)}{693\,a^7\,b}\right)}{x^{13/2}+\frac{a\,x^{11/2}}{b}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(11*a*b) + (20*x^2*(12*A*b - 11*B*a))/(693*a^3) + (64*b^2*x^4*(12*A*b - 11*B*a))/(693*a^5) - (256*b^3*x^5*(12*A*b - 11*B*a))/(693*a^6) - (512*b^4*x^6*(12*A*b - 11*B*a))/(693*a^7) - (32*b*x^3*(12*A*b - 11*B*a))/(693*a^4) + (x*(154*B*a^6 - 168*A*a^5*b))/(693*a^7*b)))/(x^(13/2) + (a*x^(11/2))/b)","B"
537,0,-1,200,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x)^(5/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(a + b*x)^(5/2), x)","F"
538,0,-1,169,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x)^(5/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(a + b*x)^(5/2), x)","F"
539,0,-1,133,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x)^(5/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(a + b*x)^(5/2), x)","F"
540,0,-1,82,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x)^(5/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(a + b*x)^(5/2), x)","F"
541,1,64,65,0.880428,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x)^(5/2)),x)","\frac{\left(\frac{x^2\,\left(4\,A\,b+2\,B\,a\right)}{3\,a^2\,b^2}+\frac{2\,A\,x}{a\,b^2}\right)\,\sqrt{a+b\,x}}{x^{5/2}+\frac{2\,a\,x^{3/2}}{b}+\frac{a^2\,\sqrt{x}}{b^2}}","Not used",1,"(((x^2*(4*A*b + 2*B*a))/(3*a^2*b^2) + (2*A*x)/(a*b^2))*(a + b*x)^(1/2))/(x^(5/2) + (2*a*x^(3/2))/b + (a^2*x^(1/2))/b^2)","B"
542,1,88,81,0.906136,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x)^(5/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{a\,b^2}-\frac{x\,\left(6\,B\,a^2-24\,A\,a\,b\right)}{3\,a^3\,b^2}+\frac{x^2\,\left(16\,A\,b^2-4\,B\,a\,b\right)}{3\,a^3\,b^2}\right)}{x^{5/2}+\frac{2\,a\,x^{3/2}}{b}+\frac{a^2\,\sqrt{x}}{b^2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(a*b^2) - (x*(6*B*a^2 - 24*A*a*b))/(3*a^3*b^2) + (x^2*(16*A*b^2 - 4*B*a*b))/(3*a^3*b^2)))/(x^(5/2) + (2*a*x^(3/2))/b + (a^2*x^(1/2))/b^2)","B"
543,1,112,113,0.972041,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x)^(5/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{3\,a\,b^2}-\frac{8\,x^2\,\left(2\,A\,b-B\,a\right)}{a^3\,b}-\frac{x^3\,\left(32\,A\,b^3-16\,B\,a\,b^2\right)}{3\,a^4\,b^2}+\frac{x\,\left(6\,B\,a^3-12\,A\,a^2\,b\right)}{3\,a^4\,b^2}\right)}{x^{7/2}+\frac{2\,a\,x^{5/2}}{b}+\frac{a^2\,x^{3/2}}{b^2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(3*a*b^2) - (8*x^2*(2*A*b - B*a))/(a^3*b) - (x^3*(32*A*b^3 - 16*B*a*b^2))/(3*a^4*b^2) + (x*(6*B*a^3 - 12*A*a^2*b))/(3*a^4*b^2)))/(x^(7/2) + (2*a*x^(5/2))/b + (a^2*x^(3/2))/b^2)","B"
544,1,129,144,1.006503,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x)^(5/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{5\,a\,b^2}+\frac{16\,x^3\,\left(8\,A\,b-5\,B\,a\right)}{5\,a^4}+\frac{4\,x^2\,\left(8\,A\,b-5\,B\,a\right)}{5\,a^3\,b}+\frac{x^4\,\left(256\,A\,b^4-160\,B\,a\,b^3\right)}{15\,a^5\,b^2}+\frac{x\,\left(10\,B\,a^4-16\,A\,a^3\,b\right)}{15\,a^5\,b^2}\right)}{x^{9/2}+\frac{2\,a\,x^{7/2}}{b}+\frac{a^2\,x^{5/2}}{b^2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(5*a*b^2) + (16*x^3*(8*A*b - 5*B*a))/(5*a^4) + (4*x^2*(8*A*b - 5*B*a))/(5*a^3*b) + (x^4*(256*A*b^4 - 160*B*a*b^3))/(15*a^5*b^2) + (x*(10*B*a^4 - 16*A*a^3*b))/(15*a^5*b^2)))/(x^(9/2) + (2*a*x^(7/2))/b + (a^2*x^(5/2))/b^2)","B"
545,1,147,177,1.051481,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + b*x)^(5/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{7\,a\,b^2}-\frac{32\,x^3\,\left(10\,A\,b-7\,B\,a\right)}{35\,a^4}+\frac{16\,x^2\,\left(10\,A\,b-7\,B\,a\right)}{105\,a^3\,b}-\frac{x^5\,\left(2560\,A\,b^5-1792\,B\,a\,b^4\right)}{105\,a^6\,b^2}-\frac{128\,b\,x^4\,\left(10\,A\,b-7\,B\,a\right)}{35\,a^5}+\frac{x\,\left(42\,B\,a^5-60\,A\,a^4\,b\right)}{105\,a^6\,b^2}\right)}{x^{11/2}+\frac{2\,a\,x^{9/2}}{b}+\frac{a^2\,x^{7/2}}{b^2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(7*a*b^2) - (32*x^3*(10*A*b - 7*B*a))/(35*a^4) + (16*x^2*(10*A*b - 7*B*a))/(105*a^3*b) - (x^5*(2560*A*b^5 - 1792*B*a*b^4))/(105*a^6*b^2) - (128*b*x^4*(10*A*b - 7*B*a))/(35*a^5) + (x*(42*B*a^5 - 60*A*a^4*b))/(105*a^6*b^2)))/(x^(11/2) + (2*a*x^(9/2))/b + (a^2*x^(7/2))/b^2)","B"
546,1,162,210,1.079000,"\text{Not used}","int((A + B*x)/(x^(11/2)*(a + b*x)^(5/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,A}{9\,a\,b^2}-\frac{32\,x^3\,\left(4\,A\,b-3\,B\,a\right)}{63\,a^4}+\frac{4\,x^2\,\left(4\,A\,b-3\,B\,a\right)}{21\,a^3\,b}+\frac{256\,b^2\,x^5\,\left(4\,A\,b-3\,B\,a\right)}{21\,a^6}+\frac{512\,b^3\,x^6\,\left(4\,A\,b-3\,B\,a\right)}{63\,a^7}+\frac{64\,b\,x^4\,\left(4\,A\,b-3\,B\,a\right)}{21\,a^5}+\frac{x\,\left(18\,B\,a^6-24\,A\,a^5\,b\right)}{63\,a^7\,b^2}\right)}{x^{13/2}+\frac{2\,a\,x^{11/2}}{b}+\frac{a^2\,x^{9/2}}{b^2}}","Not used",1,"-((a + b*x)^(1/2)*((2*A)/(9*a*b^2) - (32*x^3*(4*A*b - 3*B*a))/(63*a^4) + (4*x^2*(4*A*b - 3*B*a))/(21*a^3*b) + (256*b^2*x^5*(4*A*b - 3*B*a))/(21*a^6) + (512*b^3*x^6*(4*A*b - 3*B*a))/(63*a^7) + (64*b*x^4*(4*A*b - 3*B*a))/(21*a^5) + (x*(18*B*a^6 - 24*A*a^5*b))/(63*a^7*b^2)))/(x^(13/2) + (2*a*x^(11/2))/b + (a^2*x^(9/2))/b^2)","B"
547,-1,-1,302,0.000000,"\text{Not used}","int(x^3*(a + b*x)^(1/2)*(c + d*x)^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
548,-1,-1,237,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(1/2)*(c + d*x)^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
549,1,1077,163,78.398811,"\text{Not used}","int(x*(a + b*x)^(1/2)*(c + d*x)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{d}\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(a^3\,d^3-a^2\,b\,c\,d^2-a\,b^2\,c^2\,d+b^3\,c^3\right)}\right)\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^2}{4\,b^{5/2}\,d^{5/2}}-\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{a^3\,b^3\,d^3}{4}-\frac{a^2\,b^4\,c\,d^2}{4}-\frac{a\,b^5\,c^2\,d}{4}+\frac{b^6\,c^3}{4}\right)}{d^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{17\,a^3\,b^2\,d^3}{12}+\frac{101\,a^2\,b^3\,c\,d^2}{4}+\frac{101\,a\,b^4\,c^2\,d}{4}+\frac{17\,b^5\,c^3}{12}\right)}{d^7\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{19\,a^3\,d^3}{2}+\frac{269\,a^2\,b\,c\,d^2}{2}+\frac{269\,a\,b^2\,c^2\,d}{2}+\frac{19\,b^3\,c^3}{2}\right)}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{19\,a^3\,b\,d^3}{2}+\frac{269\,a^2\,b^2\,c\,d^2}{2}+\frac{269\,a\,b^3\,c^2\,d}{2}+\frac{19\,b^4\,c^3}{2}\right)}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{8\,a^{3/2}\,c^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}\,\left(\frac{a^3\,d^3}{4}-\frac{a^2\,b\,c\,d^2}{4}-\frac{a\,b^2\,c^2\,d}{4}+\frac{b^3\,c^3}{4}\right)}{b^2\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{11}}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9\,\left(\frac{17\,a^3\,d^3}{12}+\frac{101\,a^2\,b\,c\,d^2}{4}+\frac{101\,a\,b^2\,c^2\,d}{4}+\frac{17\,b^3\,c^3}{12}\right)}{b\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}+\frac{\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8\,\left(32\,a^2\,d^2+96\,a\,b\,c\,d+32\,b^2\,c^2\right)}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}+\frac{\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(32\,a^2\,b^2\,d^2+96\,a\,b^3\,c\,d+32\,b^4\,c^2\right)}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{8\,a^{3/2}\,b^4\,c^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(64\,a^2\,b\,d^2+\frac{656\,a\,b^2\,c\,d}{3}+64\,b^3\,c^2\right)}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{12}}+\frac{b^6}{d^6}-\frac{6\,b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{15\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{20\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{15\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{6\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}}","Not used",1,"(atanh((d^(1/2)*(a*d + b*c)*(a*d - b*c)^2*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((c + d*x)^(1/2) - c^(1/2))*(a^3*d^3 + b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2)))*(a*d + b*c)*(a*d - b*c)^2)/(4*b^(5/2)*d^(5/2)) - ((((a + b*x)^(1/2) - a^(1/2))*((b^6*c^3)/4 + (a^3*b^3*d^3)/4 - (a^2*b^4*c*d^2)/4 - (a*b^5*c^2*d)/4))/(d^8*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^3*((17*b^5*c^3)/12 + (17*a^3*b^2*d^3)/12 + (101*a^2*b^3*c*d^2)/4 + (101*a*b^4*c^2*d)/4))/(d^7*((c + d*x)^(1/2) - c^(1/2))^3) - (((a + b*x)^(1/2) - a^(1/2))^7*((19*a^3*d^3)/2 + (19*b^3*c^3)/2 + (269*a*b^2*c^2*d)/2 + (269*a^2*b*c*d^2)/2))/(d^5*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^5*((19*b^4*c^3)/2 + (19*a^3*b*d^3)/2 + (269*a^2*b^2*c*d^2)/2 + (269*a*b^3*c^2*d)/2))/(d^6*((c + d*x)^(1/2) - c^(1/2))^5) + (8*a^(3/2)*c^(3/2)*((a + b*x)^(1/2) - a^(1/2))^10)/(d^2*((c + d*x)^(1/2) - c^(1/2))^10) + (((a + b*x)^(1/2) - a^(1/2))^11*((a^3*d^3)/4 + (b^3*c^3)/4 - (a*b^2*c^2*d)/4 - (a^2*b*c*d^2)/4))/(b^2*d^3*((c + d*x)^(1/2) - c^(1/2))^11) - (((a + b*x)^(1/2) - a^(1/2))^9*((17*a^3*d^3)/12 + (17*b^3*c^3)/12 + (101*a*b^2*c^2*d)/4 + (101*a^2*b*c*d^2)/4))/(b*d^4*((c + d*x)^(1/2) - c^(1/2))^9) + (a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^8*(32*a^2*d^2 + 32*b^2*c^2 + 96*a*b*c*d))/(d^4*((c + d*x)^(1/2) - c^(1/2))^8) + (a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^4*(32*b^4*c^2 + 32*a^2*b^2*d^2 + 96*a*b^3*c*d))/(d^6*((c + d*x)^(1/2) - c^(1/2))^4) + (8*a^(3/2)*b^4*c^(3/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(d^6*((c + d*x)^(1/2) - c^(1/2))^2) + (a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6*(64*b^3*c^2 + 64*a^2*b*d^2 + (656*a*b^2*c*d)/3))/(d^5*((c + d*x)^(1/2) - c^(1/2))^6))/(((a + b*x)^(1/2) - a^(1/2))^12/((c + d*x)^(1/2) - c^(1/2))^12 + b^6/d^6 - (6*b^5*((a + b*x)^(1/2) - a^(1/2))^2)/(d^5*((c + d*x)^(1/2) - c^(1/2))^2) + (15*b^4*((a + b*x)^(1/2) - a^(1/2))^4)/(d^4*((c + d*x)^(1/2) - c^(1/2))^4) - (20*b^3*((a + b*x)^(1/2) - a^(1/2))^6)/(d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (15*b^2*((a + b*x)^(1/2) - a^(1/2))^8)/(d^2*((c + d*x)^(1/2) - c^(1/2))^8) - (6*b*((a + b*x)^(1/2) - a^(1/2))^10)/(d*((c + d*x)^(1/2) - c^(1/2))^10))","B"
550,1,88,116,0.121312,"\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"
551,1,4785,110,24.189294,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/x,x)","\frac{\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{d\,{\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^2\,\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\,{\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}}+\sqrt{a}\,\sqrt{c}\,\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)-\sqrt{a}\,\sqrt{c}\,\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{2\,\left(a^8\,b^4\,c^3\,d^6+9\,a^7\,b^5\,c^4\,d^5-10\,a^6\,b^6\,c^5\,d^4-10\,a^5\,b^7\,c^6\,d^3+9\,a^4\,b^8\,c^7\,d^2+a^3\,b^9\,c^8\,d\right)}{a^5\,c^5\,d^{10}}+\frac{\sqrt{b\,d}\,\left(\frac{2\,\left(2\,a^{5/2}\,b^9\,c^{15/2}\,d-2\,a^{9/2}\,b^7\,c^{11/2}\,d^3-2\,a^{11/2}\,b^6\,c^{9/2}\,d^4+2\,a^{15/2}\,b^4\,c^{5/2}\,d^6\right)}{a^5\,c^5\,d^{10}}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^9\,b^3\,c^3\,d^7-15\,a^8\,b^4\,c^4\,d^6+36\,a^7\,b^5\,c^5\,d^5-50\,a^6\,b^6\,c^6\,d^4+36\,a^5\,b^7\,c^7\,d^3-15\,a^4\,b^8\,c^8\,d^2+4\,a^3\,b^9\,c^9\,d\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\left(a\,d+b\,c\right)}{b\,d}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^9\,c^{19/2}\,d-19\,a^{9/2}\,b^8\,c^{17/2}\,d^2+64\,a^{11/2}\,b^7\,c^{15/2}\,d^3-98\,a^{13/2}\,b^6\,c^{13/2}\,d^4+64\,a^{15/2}\,b^5\,c^{11/2}\,d^5-19\,a^{17/2}\,b^4\,c^{9/2}\,d^6+4\,a^{19/2}\,b^3\,c^{7/2}\,d^7\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(2\,a^{5/2}\,b^{10}\,c^{19/2}+a^{7/2}\,b^9\,c^{17/2}\,d-9\,a^{9/2}\,b^8\,c^{15/2}\,d^2+6\,a^{11/2}\,b^7\,c^{13/2}\,d^3+6\,a^{13/2}\,b^6\,c^{11/2}\,d^4-9\,a^{15/2}\,b^5\,c^{9/2}\,d^5+a^{17/2}\,b^4\,c^{7/2}\,d^6+2\,a^{19/2}\,b^3\,c^{5/2}\,d^7\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{11}\,b^2\,c^3\,d^8-8\,a^{10}\,b^3\,c^4\,d^7+9\,a^9\,b^4\,c^5\,d^6-16\,a^8\,b^5\,c^6\,d^5+22\,a^7\,b^6\,c^7\,d^4-16\,a^6\,b^7\,c^8\,d^3+9\,a^5\,b^8\,c^9\,d^2-8\,a^4\,b^9\,c^{10}\,d+4\,a^3\,b^{10}\,c^{11}\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(a^9\,b^4\,c^4\,d^6+9\,a^8\,b^5\,c^5\,d^5-10\,a^7\,b^6\,c^6\,d^4-10\,a^6\,b^7\,c^7\,d^3+9\,a^5\,b^8\,c^8\,d^2+a^4\,b^9\,c^9\,d\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^{10}\,c^{23/2}-16\,a^{9/2}\,b^9\,c^{21/2}\,d+21\,a^{11/2}\,b^8\,c^{19/2}\,d^2+20\,a^{13/2}\,b^7\,c^{17/2}\,d^3-58\,a^{15/2}\,b^6\,c^{15/2}\,d^4+20\,a^{17/2}\,b^5\,c^{13/2}\,d^5+21\,a^{19/2}\,b^4\,c^{11/2}\,d^6-16\,a^{21/2}\,b^3\,c^{9/2}\,d^7+4\,a^{23/2}\,b^2\,c^{7/2}\,d^8\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,1{}\mathrm{i}}{b\,d}-\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{2\,\left(a^9\,b^4\,c^4\,d^6+9\,a^8\,b^5\,c^5\,d^5-10\,a^7\,b^6\,c^6\,d^4-10\,a^6\,b^7\,c^7\,d^3+9\,a^5\,b^8\,c^8\,d^2+a^4\,b^9\,c^9\,d\right)}{a^5\,c^5\,d^{10}}+\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(\frac{2\,\left(2\,a^{5/2}\,b^9\,c^{15/2}\,d-2\,a^{9/2}\,b^7\,c^{11/2}\,d^3-2\,a^{11/2}\,b^6\,c^{9/2}\,d^4+2\,a^{15/2}\,b^4\,c^{5/2}\,d^6\right)}{a^5\,c^5\,d^{10}}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^9\,b^3\,c^3\,d^7-15\,a^8\,b^4\,c^4\,d^6+36\,a^7\,b^5\,c^5\,d^5-50\,a^6\,b^6\,c^6\,d^4+36\,a^5\,b^7\,c^7\,d^3-15\,a^4\,b^8\,c^8\,d^2+4\,a^3\,b^9\,c^9\,d\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\left(a\,d+b\,c\right)}{b\,d}-\frac{2\,\left(a^8\,b^4\,c^3\,d^6+9\,a^7\,b^5\,c^4\,d^5-10\,a^6\,b^6\,c^5\,d^4-10\,a^5\,b^7\,c^6\,d^3+9\,a^4\,b^8\,c^7\,d^2+a^3\,b^9\,c^8\,d\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^9\,c^{19/2}\,d-19\,a^{9/2}\,b^8\,c^{17/2}\,d^2+64\,a^{11/2}\,b^7\,c^{15/2}\,d^3-98\,a^{13/2}\,b^6\,c^{13/2}\,d^4+64\,a^{15/2}\,b^5\,c^{11/2}\,d^5-19\,a^{17/2}\,b^4\,c^{9/2}\,d^6+4\,a^{19/2}\,b^3\,c^{7/2}\,d^7\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(2\,a^{5/2}\,b^{10}\,c^{19/2}+a^{7/2}\,b^9\,c^{17/2}\,d-9\,a^{9/2}\,b^8\,c^{15/2}\,d^2+6\,a^{11/2}\,b^7\,c^{13/2}\,d^3+6\,a^{13/2}\,b^6\,c^{11/2}\,d^4-9\,a^{15/2}\,b^5\,c^{9/2}\,d^5+a^{17/2}\,b^4\,c^{7/2}\,d^6+2\,a^{19/2}\,b^3\,c^{5/2}\,d^7\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{11}\,b^2\,c^3\,d^8-8\,a^{10}\,b^3\,c^4\,d^7+9\,a^9\,b^4\,c^5\,d^6-16\,a^8\,b^5\,c^6\,d^5+22\,a^7\,b^6\,c^7\,d^4-16\,a^6\,b^7\,c^8\,d^3+9\,a^5\,b^8\,c^9\,d^2-8\,a^4\,b^9\,c^{10}\,d+4\,a^3\,b^{10}\,c^{11}\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^{10}\,c^{23/2}-16\,a^{9/2}\,b^9\,c^{21/2}\,d+21\,a^{11/2}\,b^8\,c^{19/2}\,d^2+20\,a^{13/2}\,b^7\,c^{17/2}\,d^3-58\,a^{15/2}\,b^6\,c^{15/2}\,d^4+20\,a^{17/2}\,b^5\,c^{13/2}\,d^5+21\,a^{19/2}\,b^4\,c^{11/2}\,d^6-16\,a^{21/2}\,b^3\,c^{9/2}\,d^7+4\,a^{23/2}\,b^2\,c^{7/2}\,d^8\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,1{}\mathrm{i}}{b\,d}}{\frac{4\,\left(2\,a^{7/2}\,b^{10}\,c^{21/2}-a^{9/2}\,b^9\,c^{19/2}\,d-9\,a^{11/2}\,b^8\,c^{17/2}\,d^2+8\,a^{13/2}\,b^7\,c^{15/2}\,d^3+8\,a^{15/2}\,b^6\,c^{13/2}\,d^4-9\,a^{17/2}\,b^5\,c^{11/2}\,d^5-a^{19/2}\,b^4\,c^{9/2}\,d^6+2\,a^{21/2}\,b^3\,c^{7/2}\,d^7\right)}{a^5\,c^5\,d^{10}}+\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{2\,\left(a^8\,b^4\,c^3\,d^6+9\,a^7\,b^5\,c^4\,d^5-10\,a^6\,b^6\,c^5\,d^4-10\,a^5\,b^7\,c^6\,d^3+9\,a^4\,b^8\,c^7\,d^2+a^3\,b^9\,c^8\,d\right)}{a^5\,c^5\,d^{10}}+\frac{\sqrt{b\,d}\,\left(\frac{2\,\left(2\,a^{5/2}\,b^9\,c^{15/2}\,d-2\,a^{9/2}\,b^7\,c^{11/2}\,d^3-2\,a^{11/2}\,b^6\,c^{9/2}\,d^4+2\,a^{15/2}\,b^4\,c^{5/2}\,d^6\right)}{a^5\,c^5\,d^{10}}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^9\,b^3\,c^3\,d^7-15\,a^8\,b^4\,c^4\,d^6+36\,a^7\,b^5\,c^5\,d^5-50\,a^6\,b^6\,c^6\,d^4+36\,a^5\,b^7\,c^7\,d^3-15\,a^4\,b^8\,c^8\,d^2+4\,a^3\,b^9\,c^9\,d\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\left(a\,d+b\,c\right)}{b\,d}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^9\,c^{19/2}\,d-19\,a^{9/2}\,b^8\,c^{17/2}\,d^2+64\,a^{11/2}\,b^7\,c^{15/2}\,d^3-98\,a^{13/2}\,b^6\,c^{13/2}\,d^4+64\,a^{15/2}\,b^5\,c^{11/2}\,d^5-19\,a^{17/2}\,b^4\,c^{9/2}\,d^6+4\,a^{19/2}\,b^3\,c^{7/2}\,d^7\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(2\,a^{5/2}\,b^{10}\,c^{19/2}+a^{7/2}\,b^9\,c^{17/2}\,d-9\,a^{9/2}\,b^8\,c^{15/2}\,d^2+6\,a^{11/2}\,b^7\,c^{13/2}\,d^3+6\,a^{13/2}\,b^6\,c^{11/2}\,d^4-9\,a^{15/2}\,b^5\,c^{9/2}\,d^5+a^{17/2}\,b^4\,c^{7/2}\,d^6+2\,a^{19/2}\,b^3\,c^{5/2}\,d^7\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{11}\,b^2\,c^3\,d^8-8\,a^{10}\,b^3\,c^4\,d^7+9\,a^9\,b^4\,c^5\,d^6-16\,a^8\,b^5\,c^6\,d^5+22\,a^7\,b^6\,c^7\,d^4-16\,a^6\,b^7\,c^8\,d^3+9\,a^5\,b^8\,c^9\,d^2-8\,a^4\,b^9\,c^{10}\,d+4\,a^3\,b^{10}\,c^{11}\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(a^9\,b^4\,c^4\,d^6+9\,a^8\,b^5\,c^5\,d^5-10\,a^7\,b^6\,c^6\,d^4-10\,a^6\,b^7\,c^7\,d^3+9\,a^5\,b^8\,c^8\,d^2+a^4\,b^9\,c^9\,d\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^{10}\,c^{23/2}-16\,a^{9/2}\,b^9\,c^{21/2}\,d+21\,a^{11/2}\,b^8\,c^{19/2}\,d^2+20\,a^{13/2}\,b^7\,c^{17/2}\,d^3-58\,a^{15/2}\,b^6\,c^{15/2}\,d^4+20\,a^{17/2}\,b^5\,c^{13/2}\,d^5+21\,a^{19/2}\,b^4\,c^{11/2}\,d^6-16\,a^{21/2}\,b^3\,c^{9/2}\,d^7+4\,a^{23/2}\,b^2\,c^{7/2}\,d^8\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}+\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{2\,\left(a^9\,b^4\,c^4\,d^6+9\,a^8\,b^5\,c^5\,d^5-10\,a^7\,b^6\,c^6\,d^4-10\,a^6\,b^7\,c^7\,d^3+9\,a^5\,b^8\,c^8\,d^2+a^4\,b^9\,c^9\,d\right)}{a^5\,c^5\,d^{10}}+\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,\left(\frac{\sqrt{b\,d}\,\left(\frac{2\,\left(2\,a^{5/2}\,b^9\,c^{15/2}\,d-2\,a^{9/2}\,b^7\,c^{11/2}\,d^3-2\,a^{11/2}\,b^6\,c^{9/2}\,d^4+2\,a^{15/2}\,b^4\,c^{5/2}\,d^6\right)}{a^5\,c^5\,d^{10}}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^9\,b^3\,c^3\,d^7-15\,a^8\,b^4\,c^4\,d^6+36\,a^7\,b^5\,c^5\,d^5-50\,a^6\,b^6\,c^6\,d^4+36\,a^5\,b^7\,c^7\,d^3-15\,a^4\,b^8\,c^8\,d^2+4\,a^3\,b^9\,c^9\,d\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\left(a\,d+b\,c\right)}{b\,d}-\frac{2\,\left(a^8\,b^4\,c^3\,d^6+9\,a^7\,b^5\,c^4\,d^5-10\,a^6\,b^6\,c^5\,d^4-10\,a^5\,b^7\,c^6\,d^3+9\,a^4\,b^8\,c^7\,d^2+a^3\,b^9\,c^8\,d\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^9\,c^{19/2}\,d-19\,a^{9/2}\,b^8\,c^{17/2}\,d^2+64\,a^{11/2}\,b^7\,c^{15/2}\,d^3-98\,a^{13/2}\,b^6\,c^{13/2}\,d^4+64\,a^{15/2}\,b^5\,c^{11/2}\,d^5-19\,a^{17/2}\,b^4\,c^{9/2}\,d^6+4\,a^{19/2}\,b^3\,c^{7/2}\,d^7\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(2\,a^{5/2}\,b^{10}\,c^{19/2}+a^{7/2}\,b^9\,c^{17/2}\,d-9\,a^{9/2}\,b^8\,c^{15/2}\,d^2+6\,a^{11/2}\,b^7\,c^{13/2}\,d^3+6\,a^{13/2}\,b^6\,c^{11/2}\,d^4-9\,a^{15/2}\,b^5\,c^{9/2}\,d^5+a^{17/2}\,b^4\,c^{7/2}\,d^6+2\,a^{19/2}\,b^3\,c^{5/2}\,d^7\right)}{a^5\,c^5\,d^{10}}+\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{11}\,b^2\,c^3\,d^8-8\,a^{10}\,b^3\,c^4\,d^7+9\,a^9\,b^4\,c^5\,d^6-16\,a^8\,b^5\,c^6\,d^5+22\,a^7\,b^6\,c^7\,d^4-16\,a^6\,b^7\,c^8\,d^3+9\,a^5\,b^8\,c^9\,d^2-8\,a^4\,b^9\,c^{10}\,d+4\,a^3\,b^{10}\,c^{11}\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}-\frac{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{7/2}\,b^{10}\,c^{23/2}-16\,a^{9/2}\,b^9\,c^{21/2}\,d+21\,a^{11/2}\,b^8\,c^{19/2}\,d^2+20\,a^{13/2}\,b^7\,c^{17/2}\,d^3-58\,a^{15/2}\,b^6\,c^{15/2}\,d^4+20\,a^{17/2}\,b^5\,c^{13/2}\,d^5+21\,a^{19/2}\,b^4\,c^{11/2}\,d^6-16\,a^{21/2}\,b^3\,c^{9/2}\,d^7+4\,a^{23/2}\,b^2\,c^{7/2}\,d^8\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{b\,d}+\frac{4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-8\,a^{11}\,b^3\,c^5\,d^7+16\,a^{10}\,b^4\,c^6\,d^6+8\,a^9\,b^5\,c^7\,d^5-32\,a^8\,b^6\,c^8\,d^4+8\,a^7\,b^7\,c^9\,d^3+16\,a^6\,b^8\,c^{10}\,d^2-8\,a^5\,b^9\,c^{11}\,d\right)}{a^6\,c^6\,d^{10}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}\right)\,\sqrt{b\,d}\,\left(a\,d+b\,c\right)\,2{}\mathrm{i}}{b\,d}","Not used",1,"(((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^3)/(d*((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^2*((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*((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)) + a^(1/2)*c^(1/2)*log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2))) - a^(1/2)*c^(1/2)*log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2))) + (atan((((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*(a*d + b*c)*((2*(a^3*b^9*c^8*d + 9*a^4*b^8*c^7*d^2 - 10*a^5*b^7*c^6*d^3 - 10*a^6*b^6*c^5*d^4 + 9*a^7*b^5*c^4*d^5 + a^8*b^4*c^3*d^6))/(a^5*c^5*d^10) + ((b*d)^(1/2)*((2*(2*a^(5/2)*b^9*c^(15/2)*d - 2*a^(9/2)*b^7*c^(11/2)*d^3 - 2*a^(11/2)*b^6*c^(9/2)*d^4 + 2*a^(15/2)*b^4*c^(5/2)*d^6))/(a^5*c^5*d^10) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^9*c^9*d - 15*a^4*b^8*c^8*d^2 + 36*a^5*b^7*c^7*d^3 - 50*a^6*b^6*c^6*d^4 + 36*a^7*b^5*c^5*d^5 - 15*a^8*b^4*c^4*d^6 + 4*a^9*b^3*c^3*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2))))*(a*d + b*c))/(b*d) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^9*c^(19/2)*d - 19*a^(9/2)*b^8*c^(17/2)*d^2 + 64*a^(11/2)*b^7*c^(15/2)*d^3 - 98*a^(13/2)*b^6*c^(13/2)*d^4 + 64*a^(15/2)*b^5*c^(11/2)*d^5 - 19*a^(17/2)*b^4*c^(9/2)*d^6 + 4*a^(19/2)*b^3*c^(7/2)*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*(2*a^(5/2)*b^10*c^(19/2) + a^(7/2)*b^9*c^(17/2)*d - 9*a^(9/2)*b^8*c^(15/2)*d^2 + 6*a^(11/2)*b^7*c^(13/2)*d^3 + 6*a^(13/2)*b^6*c^(11/2)*d^4 - 9*a^(15/2)*b^5*c^(9/2)*d^5 + a^(17/2)*b^4*c^(7/2)*d^6 + 2*a^(19/2)*b^3*c^(5/2)*d^7))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^10*c^11 - 8*a^4*b^9*c^10*d + 9*a^5*b^8*c^9*d^2 - 16*a^6*b^7*c^8*d^3 + 22*a^7*b^6*c^7*d^4 - 16*a^8*b^5*c^6*d^5 + 9*a^9*b^4*c^5*d^6 - 8*a^10*b^3*c^4*d^7 + 4*a^11*b^2*c^3*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*(a^4*b^9*c^9*d + 9*a^5*b^8*c^8*d^2 - 10*a^6*b^7*c^7*d^3 - 10*a^7*b^6*c^6*d^4 + 9*a^8*b^5*c^5*d^5 + a^9*b^4*c^4*d^6))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^10*c^(23/2) - 16*a^(9/2)*b^9*c^(21/2)*d + 21*a^(11/2)*b^8*c^(19/2)*d^2 + 20*a^(13/2)*b^7*c^(17/2)*d^3 - 58*a^(15/2)*b^6*c^(15/2)*d^4 + 20*a^(17/2)*b^5*c^(13/2)*d^5 + 21*a^(19/2)*b^4*c^(11/2)*d^6 - 16*a^(21/2)*b^3*c^(9/2)*d^7 + 4*a^(23/2)*b^2*c^(7/2)*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2))))*1i)/(b*d) - ((b*d)^(1/2)*(a*d + b*c)*((2*(a^4*b^9*c^9*d + 9*a^5*b^8*c^8*d^2 - 10*a^6*b^7*c^7*d^3 - 10*a^7*b^6*c^6*d^4 + 9*a^8*b^5*c^5*d^5 + a^9*b^4*c^4*d^6))/(a^5*c^5*d^10) + ((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*((2*(2*a^(5/2)*b^9*c^(15/2)*d - 2*a^(9/2)*b^7*c^(11/2)*d^3 - 2*a^(11/2)*b^6*c^(9/2)*d^4 + 2*a^(15/2)*b^4*c^(5/2)*d^6))/(a^5*c^5*d^10) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^9*c^9*d - 15*a^4*b^8*c^8*d^2 + 36*a^5*b^7*c^7*d^3 - 50*a^6*b^6*c^6*d^4 + 36*a^7*b^5*c^5*d^5 - 15*a^8*b^4*c^4*d^6 + 4*a^9*b^3*c^3*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2))))*(a*d + b*c))/(b*d) - (2*(a^3*b^9*c^8*d + 9*a^4*b^8*c^7*d^2 - 10*a^5*b^7*c^6*d^3 - 10*a^6*b^6*c^5*d^4 + 9*a^7*b^5*c^4*d^5 + a^8*b^4*c^3*d^6))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^9*c^(19/2)*d - 19*a^(9/2)*b^8*c^(17/2)*d^2 + 64*a^(11/2)*b^7*c^(15/2)*d^3 - 98*a^(13/2)*b^6*c^(13/2)*d^4 + 64*a^(15/2)*b^5*c^(11/2)*d^5 - 19*a^(17/2)*b^4*c^(9/2)*d^6 + 4*a^(19/2)*b^3*c^(7/2)*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*(2*a^(5/2)*b^10*c^(19/2) + a^(7/2)*b^9*c^(17/2)*d - 9*a^(9/2)*b^8*c^(15/2)*d^2 + 6*a^(11/2)*b^7*c^(13/2)*d^3 + 6*a^(13/2)*b^6*c^(11/2)*d^4 - 9*a^(15/2)*b^5*c^(9/2)*d^5 + a^(17/2)*b^4*c^(7/2)*d^6 + 2*a^(19/2)*b^3*c^(5/2)*d^7))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^10*c^11 - 8*a^4*b^9*c^10*d + 9*a^5*b^8*c^9*d^2 - 16*a^6*b^7*c^8*d^3 + 22*a^7*b^6*c^7*d^4 - 16*a^8*b^5*c^6*d^5 + 9*a^9*b^4*c^5*d^6 - 8*a^10*b^3*c^4*d^7 + 4*a^11*b^2*c^3*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^10*c^(23/2) - 16*a^(9/2)*b^9*c^(21/2)*d + 21*a^(11/2)*b^8*c^(19/2)*d^2 + 20*a^(13/2)*b^7*c^(17/2)*d^3 - 58*a^(15/2)*b^6*c^(15/2)*d^4 + 20*a^(17/2)*b^5*c^(13/2)*d^5 + 21*a^(19/2)*b^4*c^(11/2)*d^6 - 16*a^(21/2)*b^3*c^(9/2)*d^7 + 4*a^(23/2)*b^2*c^(7/2)*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2))))*1i)/(b*d))/((4*(2*a^(7/2)*b^10*c^(21/2) - a^(9/2)*b^9*c^(19/2)*d - 9*a^(11/2)*b^8*c^(17/2)*d^2 + 8*a^(13/2)*b^7*c^(15/2)*d^3 + 8*a^(15/2)*b^6*c^(13/2)*d^4 - 9*a^(17/2)*b^5*c^(11/2)*d^5 - a^(19/2)*b^4*c^(9/2)*d^6 + 2*a^(21/2)*b^3*c^(7/2)*d^7))/(a^5*c^5*d^10) + ((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*(a*d + b*c)*((2*(a^3*b^9*c^8*d + 9*a^4*b^8*c^7*d^2 - 10*a^5*b^7*c^6*d^3 - 10*a^6*b^6*c^5*d^4 + 9*a^7*b^5*c^4*d^5 + a^8*b^4*c^3*d^6))/(a^5*c^5*d^10) + ((b*d)^(1/2)*((2*(2*a^(5/2)*b^9*c^(15/2)*d - 2*a^(9/2)*b^7*c^(11/2)*d^3 - 2*a^(11/2)*b^6*c^(9/2)*d^4 + 2*a^(15/2)*b^4*c^(5/2)*d^6))/(a^5*c^5*d^10) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^9*c^9*d - 15*a^4*b^8*c^8*d^2 + 36*a^5*b^7*c^7*d^3 - 50*a^6*b^6*c^6*d^4 + 36*a^7*b^5*c^5*d^5 - 15*a^8*b^4*c^4*d^6 + 4*a^9*b^3*c^3*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2))))*(a*d + b*c))/(b*d) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^9*c^(19/2)*d - 19*a^(9/2)*b^8*c^(17/2)*d^2 + 64*a^(11/2)*b^7*c^(15/2)*d^3 - 98*a^(13/2)*b^6*c^(13/2)*d^4 + 64*a^(15/2)*b^5*c^(11/2)*d^5 - 19*a^(17/2)*b^4*c^(9/2)*d^6 + 4*a^(19/2)*b^3*c^(7/2)*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*(2*a^(5/2)*b^10*c^(19/2) + a^(7/2)*b^9*c^(17/2)*d - 9*a^(9/2)*b^8*c^(15/2)*d^2 + 6*a^(11/2)*b^7*c^(13/2)*d^3 + 6*a^(13/2)*b^6*c^(11/2)*d^4 - 9*a^(15/2)*b^5*c^(9/2)*d^5 + a^(17/2)*b^4*c^(7/2)*d^6 + 2*a^(19/2)*b^3*c^(5/2)*d^7))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^10*c^11 - 8*a^4*b^9*c^10*d + 9*a^5*b^8*c^9*d^2 - 16*a^6*b^7*c^8*d^3 + 22*a^7*b^6*c^7*d^4 - 16*a^8*b^5*c^6*d^5 + 9*a^9*b^4*c^5*d^6 - 8*a^10*b^3*c^4*d^7 + 4*a^11*b^2*c^3*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*(a^4*b^9*c^9*d + 9*a^5*b^8*c^8*d^2 - 10*a^6*b^7*c^7*d^3 - 10*a^7*b^6*c^6*d^4 + 9*a^8*b^5*c^5*d^5 + a^9*b^4*c^4*d^6))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^10*c^(23/2) - 16*a^(9/2)*b^9*c^(21/2)*d + 21*a^(11/2)*b^8*c^(19/2)*d^2 + 20*a^(13/2)*b^7*c^(17/2)*d^3 - 58*a^(15/2)*b^6*c^(15/2)*d^4 + 20*a^(17/2)*b^5*c^(13/2)*d^5 + 21*a^(19/2)*b^4*c^(11/2)*d^6 - 16*a^(21/2)*b^3*c^(9/2)*d^7 + 4*a^(23/2)*b^2*c^(7/2)*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) + ((b*d)^(1/2)*(a*d + b*c)*((2*(a^4*b^9*c^9*d + 9*a^5*b^8*c^8*d^2 - 10*a^6*b^7*c^7*d^3 - 10*a^7*b^6*c^6*d^4 + 9*a^8*b^5*c^5*d^5 + a^9*b^4*c^4*d^6))/(a^5*c^5*d^10) + ((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*(a*d + b*c)*(((b*d)^(1/2)*((2*(2*a^(5/2)*b^9*c^(15/2)*d - 2*a^(9/2)*b^7*c^(11/2)*d^3 - 2*a^(11/2)*b^6*c^(9/2)*d^4 + 2*a^(15/2)*b^4*c^(5/2)*d^6))/(a^5*c^5*d^10) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^9*c^9*d - 15*a^4*b^8*c^8*d^2 + 36*a^5*b^7*c^7*d^3 - 50*a^6*b^6*c^6*d^4 + 36*a^7*b^5*c^5*d^5 - 15*a^8*b^4*c^4*d^6 + 4*a^9*b^3*c^3*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2))))*(a*d + b*c))/(b*d) - (2*(a^3*b^9*c^8*d + 9*a^4*b^8*c^7*d^2 - 10*a^5*b^7*c^6*d^3 - 10*a^6*b^6*c^5*d^4 + 9*a^7*b^5*c^4*d^5 + a^8*b^4*c^3*d^6))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^9*c^(19/2)*d - 19*a^(9/2)*b^8*c^(17/2)*d^2 + 64*a^(11/2)*b^7*c^(15/2)*d^3 - 98*a^(13/2)*b^6*c^(13/2)*d^4 + 64*a^(15/2)*b^5*c^(11/2)*d^5 - 19*a^(17/2)*b^4*c^(9/2)*d^6 + 4*a^(19/2)*b^3*c^(7/2)*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*(2*a^(5/2)*b^10*c^(19/2) + a^(7/2)*b^9*c^(17/2)*d - 9*a^(9/2)*b^8*c^(15/2)*d^2 + 6*a^(11/2)*b^7*c^(13/2)*d^3 + 6*a^(13/2)*b^6*c^(11/2)*d^4 - 9*a^(15/2)*b^5*c^(9/2)*d^5 + a^(17/2)*b^4*c^(7/2)*d^6 + 2*a^(19/2)*b^3*c^(5/2)*d^7))/(a^5*c^5*d^10) + (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^3*b^10*c^11 - 8*a^4*b^9*c^10*d + 9*a^5*b^8*c^9*d^2 - 16*a^6*b^7*c^8*d^3 + 22*a^7*b^6*c^7*d^4 - 16*a^8*b^5*c^6*d^5 + 9*a^9*b^4*c^5*d^6 - 8*a^10*b^3*c^4*d^7 + 4*a^11*b^2*c^3*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) - (2*((a + b*x)^(1/2) - a^(1/2))*(4*a^(7/2)*b^10*c^(23/2) - 16*a^(9/2)*b^9*c^(21/2)*d + 21*a^(11/2)*b^8*c^(19/2)*d^2 + 20*a^(13/2)*b^7*c^(17/2)*d^3 - 58*a^(15/2)*b^6*c^(15/2)*d^4 + 20*a^(17/2)*b^5*c^(13/2)*d^5 + 21*a^(19/2)*b^4*c^(11/2)*d^6 - 16*a^(21/2)*b^3*c^(9/2)*d^7 + 4*a^(23/2)*b^2*c^(7/2)*d^8))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))/(b*d) + (4*((a + b*x)^(1/2) - a^(1/2))*(16*a^6*b^8*c^10*d^2 - 8*a^5*b^9*c^11*d + 8*a^7*b^7*c^9*d^3 - 32*a^8*b^6*c^8*d^4 + 8*a^9*b^5*c^7*d^5 + 16*a^10*b^4*c^6*d^6 - 8*a^11*b^3*c^5*d^7))/(a^6*c^6*d^10*((c + d*x)^(1/2) - c^(1/2)))))*(b*d)^(1/2)*(a*d + b*c)*2i)/(b*d)","B"
552,1,4568,115,19.808673,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/x^2,x)","\frac{\frac{\left(\frac{c\,b^2}{4}+\frac{a\,d\,b}{4}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{a}\,\sqrt{c}\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{b^2}{4\,d}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{a^2\,d^2}{4}-\frac{3\,a\,b\,c\,d}{4}+\frac{b^2\,c^2}{4}\right)}{a\,c\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{b\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{\left(a\,d+b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}-\frac{d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{4\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(a\,d+b\,c\right)}{2\,\sqrt{a}\,\sqrt{c}}+\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}+a^{3/2}\,\sqrt{c}\,d\right)}{2\,a\,c}-\mathrm{atan}\left(\frac{\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\left(\frac{2\,\left(4\,a^{9/2}\,b^9\,c^{19/2}-4\,a^{13/2}\,b^7\,c^{15/2}\,d^2-4\,a^{15/2}\,b^6\,c^{13/2}\,d^3+4\,a^{19/2}\,b^4\,c^{9/2}\,d^5\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^{10}\,b^3\,c^4\,d^6-120\,a^9\,b^4\,c^5\,d^5+288\,a^8\,b^5\,c^6\,d^4-400\,a^7\,b^6\,c^7\,d^3+288\,a^6\,b^7\,c^8\,d^2-120\,a^5\,b^8\,c^9\,d+32\,a^4\,b^9\,c^{10}\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\sqrt{b\,d}-\frac{2\,\left(8\,a^9\,b^5\,c^5\,d^5+16\,a^8\,b^6\,c^6\,d^4-48\,a^7\,b^7\,c^7\,d^3+16\,a^6\,b^8\,c^8\,d^2+8\,a^5\,b^9\,c^9\,d\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^{7/2}\,b^{10}\,c^{21/2}-76\,a^{9/2}\,b^9\,c^{19/2}\,d+228\,a^{11/2}\,b^8\,c^{17/2}\,d^2-168\,a^{13/2}\,b^7\,c^{15/2}\,d^3-168\,a^{15/2}\,b^6\,c^{13/2}\,d^4+228\,a^{17/2}\,b^5\,c^{11/2}\,d^5-76\,a^{19/2}\,b^4\,c^{9/2}\,d^6+16\,a^{21/2}\,b^3\,c^{7/2}\,d^7\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)-\frac{2\,\left(a^{7/2}\,b^{11}\,c^{21/2}+16\,a^{9/2}\,b^{10}\,c^{19/2}\,d-42\,a^{11/2}\,b^9\,c^{17/2}\,d^2+25\,a^{13/2}\,b^8\,c^{15/2}\,d^3+25\,a^{15/2}\,b^7\,c^{13/2}\,d^4-42\,a^{17/2}\,b^6\,c^{11/2}\,d^5+16\,a^{19/2}\,b^5\,c^{9/2}\,d^6+a^{21/2}\,b^4\,c^{7/2}\,d^7\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(146\,a^{10}\,b^4\,c^4\,d^7-556\,a^9\,b^5\,c^5\,d^6+1006\,a^8\,b^6\,c^6\,d^5-1192\,a^7\,b^7\,c^7\,d^4+1006\,a^6\,b^8\,c^8\,d^3-556\,a^5\,b^9\,c^9\,d^2+146\,a^4\,b^{10}\,c^{10}\,d\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)+\frac{2\,\left(2\,a^{10}\,b^5\,c^4\,d^7+8\,a^9\,b^6\,c^5\,d^6-2\,a^8\,b^7\,c^6\,d^5-16\,a^7\,b^8\,c^7\,d^4-2\,a^6\,b^9\,c^8\,d^3+8\,a^5\,b^{10}\,c^9\,d^2+2\,a^4\,b^{11}\,c^{10}\,d\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(65\,a^{7/2}\,b^{11}\,c^{21/2}\,d-297\,a^{9/2}\,b^{10}\,c^{19/2}\,d^2+597\,a^{11/2}\,b^9\,c^{17/2}\,d^3-365\,a^{13/2}\,b^8\,c^{15/2}\,d^4-365\,a^{15/2}\,b^7\,c^{13/2}\,d^5+597\,a^{17/2}\,b^6\,c^{11/2}\,d^6-297\,a^{19/2}\,b^5\,c^{9/2}\,d^7+65\,a^{21/2}\,b^4\,c^{7/2}\,d^8\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,1{}\mathrm{i}-\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\left(\frac{2\,\left(4\,a^{9/2}\,b^9\,c^{19/2}-4\,a^{13/2}\,b^7\,c^{15/2}\,d^2-4\,a^{15/2}\,b^6\,c^{13/2}\,d^3+4\,a^{19/2}\,b^4\,c^{9/2}\,d^5\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^{10}\,b^3\,c^4\,d^6-120\,a^9\,b^4\,c^5\,d^5+288\,a^8\,b^5\,c^6\,d^4-400\,a^7\,b^6\,c^7\,d^3+288\,a^6\,b^7\,c^8\,d^2-120\,a^5\,b^8\,c^9\,d+32\,a^4\,b^9\,c^{10}\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\sqrt{b\,d}+\frac{2\,\left(8\,a^9\,b^5\,c^5\,d^5+16\,a^8\,b^6\,c^6\,d^4-48\,a^7\,b^7\,c^7\,d^3+16\,a^6\,b^8\,c^8\,d^2+8\,a^5\,b^9\,c^9\,d\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^{7/2}\,b^{10}\,c^{21/2}-76\,a^{9/2}\,b^9\,c^{19/2}\,d+228\,a^{11/2}\,b^8\,c^{17/2}\,d^2-168\,a^{13/2}\,b^7\,c^{15/2}\,d^3-168\,a^{15/2}\,b^6\,c^{13/2}\,d^4+228\,a^{17/2}\,b^5\,c^{11/2}\,d^5-76\,a^{19/2}\,b^4\,c^{9/2}\,d^6+16\,a^{21/2}\,b^3\,c^{7/2}\,d^7\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)-\frac{2\,\left(a^{7/2}\,b^{11}\,c^{21/2}+16\,a^{9/2}\,b^{10}\,c^{19/2}\,d-42\,a^{11/2}\,b^9\,c^{17/2}\,d^2+25\,a^{13/2}\,b^8\,c^{15/2}\,d^3+25\,a^{15/2}\,b^7\,c^{13/2}\,d^4-42\,a^{17/2}\,b^6\,c^{11/2}\,d^5+16\,a^{19/2}\,b^5\,c^{9/2}\,d^6+a^{21/2}\,b^4\,c^{7/2}\,d^7\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(146\,a^{10}\,b^4\,c^4\,d^7-556\,a^9\,b^5\,c^5\,d^6+1006\,a^8\,b^6\,c^6\,d^5-1192\,a^7\,b^7\,c^7\,d^4+1006\,a^6\,b^8\,c^8\,d^3-556\,a^5\,b^9\,c^9\,d^2+146\,a^4\,b^{10}\,c^{10}\,d\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)-\frac{2\,\left(2\,a^{10}\,b^5\,c^4\,d^7+8\,a^9\,b^6\,c^5\,d^6-2\,a^8\,b^7\,c^6\,d^5-16\,a^7\,b^8\,c^7\,d^4-2\,a^6\,b^9\,c^8\,d^3+8\,a^5\,b^{10}\,c^9\,d^2+2\,a^4\,b^{11}\,c^{10}\,d\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(65\,a^{7/2}\,b^{11}\,c^{21/2}\,d-297\,a^{9/2}\,b^{10}\,c^{19/2}\,d^2+597\,a^{11/2}\,b^9\,c^{17/2}\,d^3-365\,a^{13/2}\,b^8\,c^{15/2}\,d^4-365\,a^{15/2}\,b^7\,c^{13/2}\,d^5+597\,a^{17/2}\,b^6\,c^{11/2}\,d^6-297\,a^{19/2}\,b^5\,c^{9/2}\,d^7+65\,a^{21/2}\,b^4\,c^{7/2}\,d^8\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,1{}\mathrm{i}}{\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\left(\frac{2\,\left(4\,a^{9/2}\,b^9\,c^{19/2}-4\,a^{13/2}\,b^7\,c^{15/2}\,d^2-4\,a^{15/2}\,b^6\,c^{13/2}\,d^3+4\,a^{19/2}\,b^4\,c^{9/2}\,d^5\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^{10}\,b^3\,c^4\,d^6-120\,a^9\,b^4\,c^5\,d^5+288\,a^8\,b^5\,c^6\,d^4-400\,a^7\,b^6\,c^7\,d^3+288\,a^6\,b^7\,c^8\,d^2-120\,a^5\,b^8\,c^9\,d+32\,a^4\,b^9\,c^{10}\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\sqrt{b\,d}-\frac{2\,\left(8\,a^9\,b^5\,c^5\,d^5+16\,a^8\,b^6\,c^6\,d^4-48\,a^7\,b^7\,c^7\,d^3+16\,a^6\,b^8\,c^8\,d^2+8\,a^5\,b^9\,c^9\,d\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^{7/2}\,b^{10}\,c^{21/2}-76\,a^{9/2}\,b^9\,c^{19/2}\,d+228\,a^{11/2}\,b^8\,c^{17/2}\,d^2-168\,a^{13/2}\,b^7\,c^{15/2}\,d^3-168\,a^{15/2}\,b^6\,c^{13/2}\,d^4+228\,a^{17/2}\,b^5\,c^{11/2}\,d^5-76\,a^{19/2}\,b^4\,c^{9/2}\,d^6+16\,a^{21/2}\,b^3\,c^{7/2}\,d^7\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)-\frac{2\,\left(a^{7/2}\,b^{11}\,c^{21/2}+16\,a^{9/2}\,b^{10}\,c^{19/2}\,d-42\,a^{11/2}\,b^9\,c^{17/2}\,d^2+25\,a^{13/2}\,b^8\,c^{15/2}\,d^3+25\,a^{15/2}\,b^7\,c^{13/2}\,d^4-42\,a^{17/2}\,b^6\,c^{11/2}\,d^5+16\,a^{19/2}\,b^5\,c^{9/2}\,d^6+a^{21/2}\,b^4\,c^{7/2}\,d^7\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(146\,a^{10}\,b^4\,c^4\,d^7-556\,a^9\,b^5\,c^5\,d^6+1006\,a^8\,b^6\,c^6\,d^5-1192\,a^7\,b^7\,c^7\,d^4+1006\,a^6\,b^8\,c^8\,d^3-556\,a^5\,b^9\,c^9\,d^2+146\,a^4\,b^{10}\,c^{10}\,d\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)+\frac{2\,\left(2\,a^{10}\,b^5\,c^4\,d^7+8\,a^9\,b^6\,c^5\,d^6-2\,a^8\,b^7\,c^6\,d^5-16\,a^7\,b^8\,c^7\,d^4-2\,a^6\,b^9\,c^8\,d^3+8\,a^5\,b^{10}\,c^9\,d^2+2\,a^4\,b^{11}\,c^{10}\,d\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(65\,a^{7/2}\,b^{11}\,c^{21/2}\,d-297\,a^{9/2}\,b^{10}\,c^{19/2}\,d^2+597\,a^{11/2}\,b^9\,c^{17/2}\,d^3-365\,a^{13/2}\,b^8\,c^{15/2}\,d^4-365\,a^{15/2}\,b^7\,c^{13/2}\,d^5+597\,a^{17/2}\,b^6\,c^{11/2}\,d^6-297\,a^{19/2}\,b^5\,c^{9/2}\,d^7+65\,a^{21/2}\,b^4\,c^{7/2}\,d^8\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)+\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\sqrt{b\,d}\,\left(2\,\left(\frac{2\,\left(4\,a^{9/2}\,b^9\,c^{19/2}-4\,a^{13/2}\,b^7\,c^{15/2}\,d^2-4\,a^{15/2}\,b^6\,c^{13/2}\,d^3+4\,a^{19/2}\,b^4\,c^{9/2}\,d^5\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^{10}\,b^3\,c^4\,d^6-120\,a^9\,b^4\,c^5\,d^5+288\,a^8\,b^5\,c^6\,d^4-400\,a^7\,b^6\,c^7\,d^3+288\,a^6\,b^7\,c^8\,d^2-120\,a^5\,b^8\,c^9\,d+32\,a^4\,b^9\,c^{10}\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\sqrt{b\,d}+\frac{2\,\left(8\,a^9\,b^5\,c^5\,d^5+16\,a^8\,b^6\,c^6\,d^4-48\,a^7\,b^7\,c^7\,d^3+16\,a^6\,b^8\,c^8\,d^2+8\,a^5\,b^9\,c^9\,d\right)}{a^7\,c^7\,d^9}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^{7/2}\,b^{10}\,c^{21/2}-76\,a^{9/2}\,b^9\,c^{19/2}\,d+228\,a^{11/2}\,b^8\,c^{17/2}\,d^2-168\,a^{13/2}\,b^7\,c^{15/2}\,d^3-168\,a^{15/2}\,b^6\,c^{13/2}\,d^4+228\,a^{17/2}\,b^5\,c^{11/2}\,d^5-76\,a^{19/2}\,b^4\,c^{9/2}\,d^6+16\,a^{21/2}\,b^3\,c^{7/2}\,d^7\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)-\frac{2\,\left(a^{7/2}\,b^{11}\,c^{21/2}+16\,a^{9/2}\,b^{10}\,c^{19/2}\,d-42\,a^{11/2}\,b^9\,c^{17/2}\,d^2+25\,a^{13/2}\,b^8\,c^{15/2}\,d^3+25\,a^{15/2}\,b^7\,c^{13/2}\,d^4-42\,a^{17/2}\,b^6\,c^{11/2}\,d^5+16\,a^{19/2}\,b^5\,c^{9/2}\,d^6+a^{21/2}\,b^4\,c^{7/2}\,d^7\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(146\,a^{10}\,b^4\,c^4\,d^7-556\,a^9\,b^5\,c^5\,d^6+1006\,a^8\,b^6\,c^6\,d^5-1192\,a^7\,b^7\,c^7\,d^4+1006\,a^6\,b^8\,c^8\,d^3-556\,a^5\,b^9\,c^9\,d^2+146\,a^4\,b^{10}\,c^{10}\,d\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)-\frac{2\,\left(2\,a^{10}\,b^5\,c^4\,d^7+8\,a^9\,b^6\,c^5\,d^6-2\,a^8\,b^7\,c^6\,d^5-16\,a^7\,b^8\,c^7\,d^4-2\,a^6\,b^9\,c^8\,d^3+8\,a^5\,b^{10}\,c^9\,d^2+2\,a^4\,b^{11}\,c^{10}\,d\right)}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(65\,a^{7/2}\,b^{11}\,c^{21/2}\,d-297\,a^{9/2}\,b^{10}\,c^{19/2}\,d^2+597\,a^{11/2}\,b^9\,c^{17/2}\,d^3-365\,a^{13/2}\,b^8\,c^{15/2}\,d^4-365\,a^{15/2}\,b^7\,c^{13/2}\,d^5+597\,a^{17/2}\,b^6\,c^{11/2}\,d^6-297\,a^{19/2}\,b^5\,c^{9/2}\,d^7+65\,a^{21/2}\,b^4\,c^{7/2}\,d^8\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)+\frac{7\,a^{7/2}\,b^{12}\,c^{21/2}\,d-7\,a^{9/2}\,b^{11}\,c^{19/2}\,d^2-21\,a^{11/2}\,b^{10}\,c^{17/2}\,d^3+21\,a^{13/2}\,b^9\,c^{15/2}\,d^4+21\,a^{15/2}\,b^8\,c^{13/2}\,d^5-21\,a^{17/2}\,b^7\,c^{11/2}\,d^6-7\,a^{19/2}\,b^6\,c^{9/2}\,d^7+7\,a^{21/2}\,b^5\,c^{7/2}\,d^8}{a^7\,c^7\,d^9}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-56\,a^{10}\,b^5\,c^4\,d^8+112\,a^9\,b^6\,c^5\,d^7+56\,a^8\,b^7\,c^6\,d^6-224\,a^7\,b^8\,c^7\,d^5+56\,a^6\,b^9\,c^8\,d^4+112\,a^5\,b^{10}\,c^9\,d^3-56\,a^4\,b^{11}\,c^{10}\,d^2\right)}{2\,a^7\,c^7\,d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}\right)\,\sqrt{b\,d}\,4{}\mathrm{i}","Not used",1,"((((b^2*c)/4 + (a*b*d)/4)*((a + b*x)^(1/2) - a^(1/2)))/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))) - b^2/(4*d) + (((a + b*x)^(1/2) - a^(1/2))^2*((a^2*d^2)/4 + (b^2*c^2)/4 - (3*a*b*c*d)/4))/(a*c*d*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^3/((c + d*x)^(1/2) - c^(1/2))^3 + (b*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) - ((a*d + b*c)*((a + b*x)^(1/2) - a^(1/2))^2)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^2)) - atan(((b*d)^(1/2)*(2*(b*d)^(1/2)*(2*(b*d)^(1/2)*(2*((2*(4*a^(9/2)*b^9*c^(19/2) - 4*a^(13/2)*b^7*c^(15/2)*d^2 - 4*a^(15/2)*b^6*c^(13/2)*d^3 + 4*a^(19/2)*b^4*c^(9/2)*d^5))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(32*a^4*b^9*c^10 - 120*a^5*b^8*c^9*d + 288*a^6*b^7*c^8*d^2 - 400*a^7*b^6*c^7*d^3 + 288*a^8*b^5*c^6*d^4 - 120*a^9*b^4*c^5*d^5 + 32*a^10*b^3*c^4*d^6))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2))))*(b*d)^(1/2) - (2*(8*a^5*b^9*c^9*d + 16*a^6*b^8*c^8*d^2 - 48*a^7*b^7*c^7*d^3 + 16*a^8*b^6*c^6*d^4 + 8*a^9*b^5*c^5*d^5))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(16*a^(7/2)*b^10*c^(21/2) - 76*a^(9/2)*b^9*c^(19/2)*d + 228*a^(11/2)*b^8*c^(17/2)*d^2 - 168*a^(13/2)*b^7*c^(15/2)*d^3 - 168*a^(15/2)*b^6*c^(13/2)*d^4 + 228*a^(17/2)*b^5*c^(11/2)*d^5 - 76*a^(19/2)*b^4*c^(9/2)*d^6 + 16*a^(21/2)*b^3*c^(7/2)*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) - (2*(a^(7/2)*b^11*c^(21/2) + 16*a^(9/2)*b^10*c^(19/2)*d - 42*a^(11/2)*b^9*c^(17/2)*d^2 + 25*a^(13/2)*b^8*c^(15/2)*d^3 + 25*a^(15/2)*b^7*c^(13/2)*d^4 - 42*a^(17/2)*b^6*c^(11/2)*d^5 + 16*a^(19/2)*b^5*c^(9/2)*d^6 + a^(21/2)*b^4*c^(7/2)*d^7))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(146*a^4*b^10*c^10*d - 556*a^5*b^9*c^9*d^2 + 1006*a^6*b^8*c^8*d^3 - 1192*a^7*b^7*c^7*d^4 + 1006*a^8*b^6*c^6*d^5 - 556*a^9*b^5*c^5*d^6 + 146*a^10*b^4*c^4*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) + (2*(2*a^4*b^11*c^10*d + 8*a^5*b^10*c^9*d^2 - 2*a^6*b^9*c^8*d^3 - 16*a^7*b^8*c^7*d^4 - 2*a^8*b^7*c^6*d^5 + 8*a^9*b^6*c^5*d^6 + 2*a^10*b^5*c^4*d^7))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(65*a^(7/2)*b^11*c^(21/2)*d - 297*a^(9/2)*b^10*c^(19/2)*d^2 + 597*a^(11/2)*b^9*c^(17/2)*d^3 - 365*a^(13/2)*b^8*c^(15/2)*d^4 - 365*a^(15/2)*b^7*c^(13/2)*d^5 + 597*a^(17/2)*b^6*c^(11/2)*d^6 - 297*a^(19/2)*b^5*c^(9/2)*d^7 + 65*a^(21/2)*b^4*c^(7/2)*d^8))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2))))*1i - (b*d)^(1/2)*(2*(b*d)^(1/2)*(2*(b*d)^(1/2)*(2*((2*(4*a^(9/2)*b^9*c^(19/2) - 4*a^(13/2)*b^7*c^(15/2)*d^2 - 4*a^(15/2)*b^6*c^(13/2)*d^3 + 4*a^(19/2)*b^4*c^(9/2)*d^5))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(32*a^4*b^9*c^10 - 120*a^5*b^8*c^9*d + 288*a^6*b^7*c^8*d^2 - 400*a^7*b^6*c^7*d^3 + 288*a^8*b^5*c^6*d^4 - 120*a^9*b^4*c^5*d^5 + 32*a^10*b^3*c^4*d^6))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2))))*(b*d)^(1/2) + (2*(8*a^5*b^9*c^9*d + 16*a^6*b^8*c^8*d^2 - 48*a^7*b^7*c^7*d^3 + 16*a^8*b^6*c^6*d^4 + 8*a^9*b^5*c^5*d^5))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(16*a^(7/2)*b^10*c^(21/2) - 76*a^(9/2)*b^9*c^(19/2)*d + 228*a^(11/2)*b^8*c^(17/2)*d^2 - 168*a^(13/2)*b^7*c^(15/2)*d^3 - 168*a^(15/2)*b^6*c^(13/2)*d^4 + 228*a^(17/2)*b^5*c^(11/2)*d^5 - 76*a^(19/2)*b^4*c^(9/2)*d^6 + 16*a^(21/2)*b^3*c^(7/2)*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) - (2*(a^(7/2)*b^11*c^(21/2) + 16*a^(9/2)*b^10*c^(19/2)*d - 42*a^(11/2)*b^9*c^(17/2)*d^2 + 25*a^(13/2)*b^8*c^(15/2)*d^3 + 25*a^(15/2)*b^7*c^(13/2)*d^4 - 42*a^(17/2)*b^6*c^(11/2)*d^5 + 16*a^(19/2)*b^5*c^(9/2)*d^6 + a^(21/2)*b^4*c^(7/2)*d^7))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(146*a^4*b^10*c^10*d - 556*a^5*b^9*c^9*d^2 + 1006*a^6*b^8*c^8*d^3 - 1192*a^7*b^7*c^7*d^4 + 1006*a^8*b^6*c^6*d^5 - 556*a^9*b^5*c^5*d^6 + 146*a^10*b^4*c^4*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) - (2*(2*a^4*b^11*c^10*d + 8*a^5*b^10*c^9*d^2 - 2*a^6*b^9*c^8*d^3 - 16*a^7*b^8*c^7*d^4 - 2*a^8*b^7*c^6*d^5 + 8*a^9*b^6*c^5*d^6 + 2*a^10*b^5*c^4*d^7))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(65*a^(7/2)*b^11*c^(21/2)*d - 297*a^(9/2)*b^10*c^(19/2)*d^2 + 597*a^(11/2)*b^9*c^(17/2)*d^3 - 365*a^(13/2)*b^8*c^(15/2)*d^4 - 365*a^(15/2)*b^7*c^(13/2)*d^5 + 597*a^(17/2)*b^6*c^(11/2)*d^6 - 297*a^(19/2)*b^5*c^(9/2)*d^7 + 65*a^(21/2)*b^4*c^(7/2)*d^8))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2))))*1i)/((b*d)^(1/2)*(2*(b*d)^(1/2)*(2*(b*d)^(1/2)*(2*((2*(4*a^(9/2)*b^9*c^(19/2) - 4*a^(13/2)*b^7*c^(15/2)*d^2 - 4*a^(15/2)*b^6*c^(13/2)*d^3 + 4*a^(19/2)*b^4*c^(9/2)*d^5))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(32*a^4*b^9*c^10 - 120*a^5*b^8*c^9*d + 288*a^6*b^7*c^8*d^2 - 400*a^7*b^6*c^7*d^3 + 288*a^8*b^5*c^6*d^4 - 120*a^9*b^4*c^5*d^5 + 32*a^10*b^3*c^4*d^6))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2))))*(b*d)^(1/2) - (2*(8*a^5*b^9*c^9*d + 16*a^6*b^8*c^8*d^2 - 48*a^7*b^7*c^7*d^3 + 16*a^8*b^6*c^6*d^4 + 8*a^9*b^5*c^5*d^5))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(16*a^(7/2)*b^10*c^(21/2) - 76*a^(9/2)*b^9*c^(19/2)*d + 228*a^(11/2)*b^8*c^(17/2)*d^2 - 168*a^(13/2)*b^7*c^(15/2)*d^3 - 168*a^(15/2)*b^6*c^(13/2)*d^4 + 228*a^(17/2)*b^5*c^(11/2)*d^5 - 76*a^(19/2)*b^4*c^(9/2)*d^6 + 16*a^(21/2)*b^3*c^(7/2)*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) - (2*(a^(7/2)*b^11*c^(21/2) + 16*a^(9/2)*b^10*c^(19/2)*d - 42*a^(11/2)*b^9*c^(17/2)*d^2 + 25*a^(13/2)*b^8*c^(15/2)*d^3 + 25*a^(15/2)*b^7*c^(13/2)*d^4 - 42*a^(17/2)*b^6*c^(11/2)*d^5 + 16*a^(19/2)*b^5*c^(9/2)*d^6 + a^(21/2)*b^4*c^(7/2)*d^7))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(146*a^4*b^10*c^10*d - 556*a^5*b^9*c^9*d^2 + 1006*a^6*b^8*c^8*d^3 - 1192*a^7*b^7*c^7*d^4 + 1006*a^8*b^6*c^6*d^5 - 556*a^9*b^5*c^5*d^6 + 146*a^10*b^4*c^4*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) + (2*(2*a^4*b^11*c^10*d + 8*a^5*b^10*c^9*d^2 - 2*a^6*b^9*c^8*d^3 - 16*a^7*b^8*c^7*d^4 - 2*a^8*b^7*c^6*d^5 + 8*a^9*b^6*c^5*d^6 + 2*a^10*b^5*c^4*d^7))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(65*a^(7/2)*b^11*c^(21/2)*d - 297*a^(9/2)*b^10*c^(19/2)*d^2 + 597*a^(11/2)*b^9*c^(17/2)*d^3 - 365*a^(13/2)*b^8*c^(15/2)*d^4 - 365*a^(15/2)*b^7*c^(13/2)*d^5 + 597*a^(17/2)*b^6*c^(11/2)*d^6 - 297*a^(19/2)*b^5*c^(9/2)*d^7 + 65*a^(21/2)*b^4*c^(7/2)*d^8))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) + (b*d)^(1/2)*(2*(b*d)^(1/2)*(2*(b*d)^(1/2)*(2*((2*(4*a^(9/2)*b^9*c^(19/2) - 4*a^(13/2)*b^7*c^(15/2)*d^2 - 4*a^(15/2)*b^6*c^(13/2)*d^3 + 4*a^(19/2)*b^4*c^(9/2)*d^5))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(32*a^4*b^9*c^10 - 120*a^5*b^8*c^9*d + 288*a^6*b^7*c^8*d^2 - 400*a^7*b^6*c^7*d^3 + 288*a^8*b^5*c^6*d^4 - 120*a^9*b^4*c^5*d^5 + 32*a^10*b^3*c^4*d^6))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2))))*(b*d)^(1/2) + (2*(8*a^5*b^9*c^9*d + 16*a^6*b^8*c^8*d^2 - 48*a^7*b^7*c^7*d^3 + 16*a^8*b^6*c^6*d^4 + 8*a^9*b^5*c^5*d^5))/(a^7*c^7*d^9) - (((a + b*x)^(1/2) - a^(1/2))*(16*a^(7/2)*b^10*c^(21/2) - 76*a^(9/2)*b^9*c^(19/2)*d + 228*a^(11/2)*b^8*c^(17/2)*d^2 - 168*a^(13/2)*b^7*c^(15/2)*d^3 - 168*a^(15/2)*b^6*c^(13/2)*d^4 + 228*a^(17/2)*b^5*c^(11/2)*d^5 - 76*a^(19/2)*b^4*c^(9/2)*d^6 + 16*a^(21/2)*b^3*c^(7/2)*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) - (2*(a^(7/2)*b^11*c^(21/2) + 16*a^(9/2)*b^10*c^(19/2)*d - 42*a^(11/2)*b^9*c^(17/2)*d^2 + 25*a^(13/2)*b^8*c^(15/2)*d^3 + 25*a^(15/2)*b^7*c^(13/2)*d^4 - 42*a^(17/2)*b^6*c^(11/2)*d^5 + 16*a^(19/2)*b^5*c^(9/2)*d^6 + a^(21/2)*b^4*c^(7/2)*d^7))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(146*a^4*b^10*c^10*d - 556*a^5*b^9*c^9*d^2 + 1006*a^6*b^8*c^8*d^3 - 1192*a^7*b^7*c^7*d^4 + 1006*a^8*b^6*c^6*d^5 - 556*a^9*b^5*c^5*d^6 + 146*a^10*b^4*c^4*d^7))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) - (2*(2*a^4*b^11*c^10*d + 8*a^5*b^10*c^9*d^2 - 2*a^6*b^9*c^8*d^3 - 16*a^7*b^8*c^7*d^4 - 2*a^8*b^7*c^6*d^5 + 8*a^9*b^6*c^5*d^6 + 2*a^10*b^5*c^4*d^7))/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(65*a^(7/2)*b^11*c^(21/2)*d - 297*a^(9/2)*b^10*c^(19/2)*d^2 + 597*a^(11/2)*b^9*c^(17/2)*d^3 - 365*a^(13/2)*b^8*c^(15/2)*d^4 - 365*a^(15/2)*b^7*c^(13/2)*d^5 + 597*a^(17/2)*b^6*c^(11/2)*d^6 - 297*a^(19/2)*b^5*c^(9/2)*d^7 + 65*a^(21/2)*b^4*c^(7/2)*d^8))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))) + (7*a^(7/2)*b^12*c^(21/2)*d - 7*a^(9/2)*b^11*c^(19/2)*d^2 - 21*a^(11/2)*b^10*c^(17/2)*d^3 + 21*a^(13/2)*b^9*c^(15/2)*d^4 + 21*a^(15/2)*b^8*c^(13/2)*d^5 - 21*a^(17/2)*b^7*c^(11/2)*d^6 - 7*a^(19/2)*b^6*c^(9/2)*d^7 + 7*a^(21/2)*b^5*c^(7/2)*d^8)/(a^7*c^7*d^9) + (((a + b*x)^(1/2) - a^(1/2))*(112*a^5*b^10*c^9*d^3 - 56*a^4*b^11*c^10*d^2 + 56*a^6*b^9*c^8*d^4 - 224*a^7*b^8*c^7*d^5 + 56*a^8*b^7*c^6*d^6 + 112*a^9*b^6*c^5*d^7 - 56*a^10*b^5*c^4*d^8))/(2*a^7*c^7*d^9*((c + d*x)^(1/2) - c^(1/2)))))*(b*d)^(1/2)*4i - (d*((a + b*x)^(1/2) - a^(1/2)))/(4*((c + d*x)^(1/2) - c^(1/2))) - (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a*d + b*c))/(2*a^(1/2)*c^(1/2)) + (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) + a^(3/2)*c^(1/2)*d))/(2*a*c)","B"
553,1,869,122,19.751057,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/x^3,x)","\frac{\frac{b^4}{32\,\sqrt{a}\,\sqrt{c}\,d^2}-\frac{\left(\frac{c\,b^2}{16}+\frac{a\,d\,b}{16}\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}{a\,c\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{5\,a^2\,b^2\,d^2}{32}+\frac{3\,a\,b^3\,c\,d}{8}+\frac{5\,b^4\,c^2}{32}\right)}{a^{3/2}\,c^{3/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{a^3\,b\,d^3}{16}+\frac{3\,a^2\,b^2\,c\,d^2}{8}+\frac{3\,a\,b^3\,c^2\,d}{8}+\frac{b^4\,c^3}{16}\right)}{a^2\,c^2\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(\frac{c\,b^4}{8}+\frac{a\,d\,b^3}{8}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,c\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(-\frac{a^4\,d^4}{32}+\frac{a^3\,b\,c\,d^3}{4}+\frac{3\,a^2\,b^2\,c^2\,d^2}{32}+\frac{a\,b^3\,c^3\,d}{4}-\frac{b^4\,c^4}{32}\right)}{a^{5/2}\,c^{5/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{b^2\,{\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(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{\left(2\,c\,b^2+2\,a\,d\,b\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{\sqrt{a}\,\sqrt{c}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}-\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^2\,c^{5/2}+a^{5/2}\,\sqrt{c}\,d^2-2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^2\,c^2}+\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^2\,c^{5/2}+a^{5/2}\,\sqrt{c}\,d^2-2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^2\,c^2}+\frac{d^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{32\,\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{d\,\left(a\,d+b\,c\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{16\,a\,c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}","Not used",1,"(b^4/(32*a^(1/2)*c^(1/2)*d^2) - (((b^2*c)/16 + (a*b*d)/16)*((a + b*x)^(1/2) - a^(1/2))^5)/(a*c*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^2*((5*b^4*c^2)/32 + (5*a^2*b^2*d^2)/32 + (3*a*b^3*c*d)/8))/(a^(3/2)*c^(3/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^2) - (((a + b*x)^(1/2) - a^(1/2))^3*((b^4*c^3)/16 + (a^3*b*d^3)/16 + (3*a^2*b^2*c*d^2)/8 + (3*a*b^3*c^2*d)/8))/(a^2*c^2*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - (((b^4*c)/8 + (a*b^3*d)/8)*((a + b*x)^(1/2) - a^(1/2)))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^4*((3*a^2*b^2*c^2*d^2)/32 - (b^4*c^4)/32 - (a^4*d^4)/32 + (a*b^3*c^3*d)/4 + (a^3*b*c*d^3)/4))/(a^(5/2)*c^(5/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^6/((c + d*x)^(1/2) - c^(1/2))^6 + (b^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*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^4) - ((2*b^2*c + 2*a*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(a^(1/2)*c^(1/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - ((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^5)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^5)) - (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^2*c^(5/2) + a^(5/2)*c^(1/2)*d^2 - 2*a^(3/2)*b*c^(3/2)*d))/(8*a^2*c^2) + (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^2*c^(5/2) + a^(5/2)*c^(1/2)*d^2 - 2*a^(3/2)*b*c^(3/2)*d))/(8*a^2*c^2) + (d^2*((a + b*x)^(1/2) - a^(1/2))^2)/(32*a^(1/2)*c^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2) - (d*(a*d + b*c)*((a + b*x)^(1/2) - a^(1/2)))/(16*a*c*((c + d*x)^(1/2) - c^(1/2)))","B"
554,1,1459,172,93.340393,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/x^4,x)","\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(\frac{5\,a^4\,b^2\,d^4}{64}+\frac{9\,a^3\,b^3\,c\,d^3}{32}-\frac{3\,a^2\,b^4\,c^2\,d^2}{32}+\frac{9\,a\,b^5\,c^3\,d}{32}+\frac{5\,b^6\,c^4}{64}\right)}{a^3\,c^3\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{17\,a^3\,b^3\,d^3}{192}+\frac{17\,b^6\,c^3}{192}\right)}{a^{5/2}\,c^{5/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{b^6}{192\,a\,c\,d^3}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(-\frac{a^5\,b\,d^5}{64}+\frac{13\,a^4\,b^2\,c\,d^4}{32}+\frac{a^3\,b^3\,c^2\,d^3}{16}+\frac{a^2\,b^4\,c^3\,d^2}{16}+\frac{13\,a\,b^5\,c^4\,d}{32}-\frac{b^6\,c^5}{64}\right)}{a^{7/2}\,c^{7/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{a^2\,b^4\,d^2}{64}-\frac{a\,b^5\,c\,d}{16}+\frac{b^6\,c^2}{64}\right)}{a^2\,c^2\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{3\,a^5\,d^5}{64}-\frac{15\,a^4\,b\,c\,d^4}{64}+\frac{3\,a^3\,b^2\,c^2\,d^3}{64}+\frac{3\,a^2\,b^3\,c^3\,d^2}{64}-\frac{15\,a\,b^4\,c^4\,d}{64}+\frac{3\,b^5\,c^5}{64}\right)}{a^{7/2}\,c^{7/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}+\frac{\left(\frac{c\,b^6}{64}+\frac{a\,d\,b^5}{64}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{3/2}\,c^{3/2}\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(-\frac{5\,a^6\,d^6}{192}+\frac{3\,a^5\,b\,c\,d^5}{32}+\frac{15\,a^4\,b^2\,c^2\,d^4}{32}-\frac{3\,a^3\,b^3\,c^3\,d^3}{8}+\frac{15\,a^2\,b^4\,c^4\,d^2}{32}+\frac{3\,a\,b^5\,c^5\,d}{32}-\frac{5\,b^6\,c^6}{192}\right)}{a^4\,c^4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8\,\left(\frac{a^4\,d^4}{64}-\frac{3\,a^3\,b\,c\,d^3}{32}+\frac{7\,a^2\,b^2\,c^2\,d^2}{64}-\frac{3\,a\,b^3\,c^3\,d}{32}+\frac{b^4\,c^4}{64}\right)}{a^3\,c^3\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}+\frac{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(3\,a^2\,d^2+9\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^3\,d^3+9\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{a^{3/2}\,c^{3/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}-\frac{\left(3\,a\,d+3\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{\left(3\,c\,b^3+3\,a\,d\,b^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{\sqrt{a}\,\sqrt{c}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(3\,a^2\,b\,d^2+9\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}{a\,c\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}+\frac{\left(\frac{d\,\left(3\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2\right)}{32\,a^2\,c^2}-\frac{4\,a^2\,d^7+17\,a\,b\,c\,d^6+4\,b^2\,c^2\,d^5}{64\,a^2\,c^2\,d^4}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^3\,c^{7/2}+a^{7/2}\,\sqrt{c}\,d^3-a^{3/2}\,b^2\,c^{5/2}\,d-a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^3\,c^3}-\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^3\,c^{7/2}+a^{7/2}\,\sqrt{c}\,d^3-a^{3/2}\,b^2\,c^{5/2}\,d-a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^3\,c^3}-\frac{d^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{192\,a\,c\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))^4*((5*b^6*c^4)/64 + (5*a^4*b^2*d^4)/64 + (9*a^3*b^3*c*d^3)/32 - (3*a^2*b^4*c^2*d^2)/32 + (9*a*b^5*c^3*d)/32))/(a^3*c^3*d^3*((c + d*x)^(1/2) - c^(1/2))^4) - (((a + b*x)^(1/2) - a^(1/2))^3*((17*b^6*c^3)/192 + (17*a^3*b^3*d^3)/192))/(a^(5/2)*c^(5/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^3) - b^6/(192*a*c*d^3) - (((a + b*x)^(1/2) - a^(1/2))^5*((13*a^4*b^2*c*d^4)/32 - (a^5*b*d^5)/64 - (b^6*c^5)/64 + (a^2*b^4*c^3*d^2)/16 + (a^3*b^3*c^2*d^3)/16 + (13*a*b^5*c^4*d)/32))/(a^(7/2)*c^(7/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^2*((b^6*c^2)/64 + (a^2*b^4*d^2)/64 - (a*b^5*c*d)/16))/(a^2*c^2*d^3*((c + d*x)^(1/2) - c^(1/2))^2) + (((a + b*x)^(1/2) - a^(1/2))^7*((3*a^5*d^5)/64 + (3*b^5*c^5)/64 + (3*a^2*b^3*c^3*d^2)/64 + (3*a^3*b^2*c^2*d^3)/64 - (15*a*b^4*c^4*d)/64 - (15*a^4*b*c*d^4)/64))/(a^(7/2)*c^(7/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^7) + (((b^6*c)/64 + (a*b^5*d)/64)*((a + b*x)^(1/2) - a^(1/2)))/(a^(3/2)*c^(3/2)*d^3*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^6*((15*a^2*b^4*c^4*d^2)/32 - (5*b^6*c^6)/192 - (5*a^6*d^6)/192 - (3*a^3*b^3*c^3*d^3)/8 + (15*a^4*b^2*c^2*d^4)/32 + (3*a*b^5*c^5*d)/32 + (3*a^5*b*c*d^5)/32))/(a^4*c^4*d^3*((c + d*x)^(1/2) - c^(1/2))^6) - (((a + b*x)^(1/2) - a^(1/2))^8*((a^4*d^4)/64 + (b^4*c^4)/64 + (7*a^2*b^2*c^2*d^2)/64 - (3*a*b^3*c^3*d)/32 - (3*a^3*b*c*d^3)/32))/(a^3*c^3*d*((c + d*x)^(1/2) - c^(1/2))^8))/(((a + b*x)^(1/2) - a^(1/2))^9/((c + d*x)^(1/2) - c^(1/2))^9 + (b^3*((a + b*x)^(1/2) - a^(1/2))^3)/(d^3*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^7*(3*a^2*d^2 + 3*b^2*c^2 + 9*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^6*(a^3*d^3 + b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2))/(a^(3/2)*c^(3/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^6) - ((3*a*d + 3*b*c)*((a + b*x)^(1/2) - a^(1/2))^8)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^8) - ((3*b^3*c + 3*a*b^2*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(a^(1/2)*c^(1/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^4) + (((a + b*x)^(1/2) - a^(1/2))^5*(3*b^3*c^2 + 3*a^2*b*d^2 + 9*a*b^2*c*d))/(a*c*d^3*((c + d*x)^(1/2) - c^(1/2))^5)) + (((d*(3*a^2*d^2 + 3*b^2*c^2 + 8*a*b*c*d))/(32*a^2*c^2) - (4*a^2*d^7 + 4*b^2*c^2*d^5 + 17*a*b*c*d^6)/(64*a^2*c^2*d^4))*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^3*c^(7/2) + a^(7/2)*c^(1/2)*d^3 - a^(3/2)*b^2*c^(5/2)*d - a^(5/2)*b*c^(3/2)*d^2))/(16*a^3*c^3) - (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^3*c^(7/2) + a^(7/2)*c^(1/2)*d^3 - a^(3/2)*b^2*c^(5/2)*d - a^(5/2)*b*c^(3/2)*d^2))/(16*a^3*c^3) - (d^3*((a + b*x)^(1/2) - a^(1/2))^3)/(192*a*c*((c + d*x)^(1/2) - c^(1/2))^3)","B"
555,-1,-1,256,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/x^5,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
556,-1,-1,345,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2))/x^6,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
557,0,-1,315,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(1/2)*(c + d*x)^(3/2),x)","\int x^2\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b*x)^(1/2)*(c + d*x)^(3/2), x)","F"
558,0,-1,221,0.000000,"\text{Not used}","int(x*(a + b*x)^(1/2)*(c + d*x)^(3/2),x)","\int x\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x)^(1/2)*(c + d*x)^(3/2), x)","F"
559,0,-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"
560,0,-1,165,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x, x)","F"
561,0,-1,144,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^2,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^2, x)","F"
562,0,-1,170,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^3,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^3, x)","F"
563,0,-1,163,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^4,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^4, x)","F"
564,0,-1,233,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^5,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^5, x)","F"
565,0,-1,340,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^6,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(3/2))/x^6, x)","F"
566,0,-1,376,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(1/2)*(c + d*x)^(5/2),x)","\int x^2\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int(x^2*(a + b*x)^(1/2)*(c + d*x)^(5/2), x)","F"
567,0,-1,268,0.000000,"\text{Not used}","int(x*(a + b*x)^(1/2)*(c + d*x)^(5/2),x)","\int x\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int(x*(a + b*x)^(1/2)*(c + d*x)^(5/2), x)","F"
568,0,-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"
569,0,-1,219,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x, x)","F"
570,0,-1,198,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^2,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^2, x)","F"
571,0,-1,211,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^3,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^3, x)","F"
572,0,-1,227,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^4,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^4, x)","F"
573,0,-1,204,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^5,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^5, x)","F"
574,0,-1,283,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^6,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^6, x)","F"
575,0,-1,436,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^7,x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}}{x^7} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(5/2))/x^7, x)","F"
576,-1,-1,251,0.000000,"\text{Not used}","int((x^3*(a + b*x)^(1/2))/(c + d*x)^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
577,1,929,191,50.037108,"\text{Not used}","int((x^2*(a + b*x)^(1/2))/(c + d*x)^(1/2),x)","\frac{\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)\,\left(a^2\,d^2+2\,a\,b\,c\,d+5\,b^2\,c^2\right)}{4\,b^{5/2}\,d^{7/2}}-\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{a^3\,b^3\,d^3}{4}+\frac{a^2\,b^4\,c\,d^2}{4}+\frac{3\,a\,b^5\,c^2\,d}{4}-\frac{5\,b^6\,c^3}{4}\right)}{d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{17\,a^3\,b^2\,d^3}{12}+\frac{91\,a^2\,b^3\,c\,d^2}{4}+\frac{17\,a\,b^4\,c^2\,d}{4}-\frac{85\,b^5\,c^3}{12}\right)}{d^8\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{19\,a^3\,d^3}{2}+\frac{275\,a^2\,b\,c\,d^2}{2}+\frac{313\,a\,b^2\,c^2\,d}{2}+\frac{33\,b^3\,c^3}{2}\right)}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{19\,a^3\,b\,d^3}{2}+\frac{275\,a^2\,b^2\,c\,d^2}{2}+\frac{313\,a\,b^3\,c^2\,d}{2}+\frac{33\,b^4\,c^3}{2}\right)}{d^7\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}\,\left(\frac{a^3\,d^3}{4}+\frac{a^2\,b\,c\,d^2}{4}+\frac{3\,a\,b^2\,c^2\,d}{4}-\frac{5\,b^3\,c^3}{4}\right)}{b^2\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{11}}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9\,\left(\frac{17\,a^3\,d^3}{12}+\frac{91\,a^2\,b\,c\,d^2}{4}+\frac{17\,a\,b^2\,c^2\,d}{4}-\frac{85\,b^3\,c^3}{12}\right)}{b\,d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}+\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,d\,a^2+96\,b\,c\,a\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}+\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,d\,a^2\,b^2+96\,c\,a\,b^3\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(64\,a^2\,b\,d^2+\frac{704\,a\,b^2\,c\,d}{3}+128\,b^3\,c^2\right)}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{12}}+\frac{b^6}{d^6}-\frac{6\,b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{15\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{20\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{15\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{6\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}}","Not used",1,"(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)*(a^2*d^2 + 5*b^2*c^2 + 2*a*b*c*d))/(4*b^(5/2)*d^(7/2)) - ((((a + b*x)^(1/2) - a^(1/2))*((a^3*b^3*d^3)/4 - (5*b^6*c^3)/4 + (a^2*b^4*c*d^2)/4 + (3*a*b^5*c^2*d)/4))/(d^9*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^3*((17*a^3*b^2*d^3)/12 - (85*b^5*c^3)/12 + (91*a^2*b^3*c*d^2)/4 + (17*a*b^4*c^2*d)/4))/(d^8*((c + d*x)^(1/2) - c^(1/2))^3) - (((a + b*x)^(1/2) - a^(1/2))^7*((19*a^3*d^3)/2 + (33*b^3*c^3)/2 + (313*a*b^2*c^2*d)/2 + (275*a^2*b*c*d^2)/2))/(d^6*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^5*((33*b^4*c^3)/2 + (19*a^3*b*d^3)/2 + (275*a^2*b^2*c*d^2)/2 + (313*a*b^3*c^2*d)/2))/(d^7*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^11*((a^3*d^3)/4 - (5*b^3*c^3)/4 + (3*a*b^2*c^2*d)/4 + (a^2*b*c*d^2)/4))/(b^2*d^4*((c + d*x)^(1/2) - c^(1/2))^11) - (((a + b*x)^(1/2) - a^(1/2))^9*((17*a^3*d^3)/12 - (85*b^3*c^3)/12 + (17*a*b^2*c^2*d)/4 + (91*a^2*b*c*d^2)/4))/(b*d^5*((c + d*x)^(1/2) - c^(1/2))^9) + (a^(1/2)*c^(1/2)*(32*a^2*d + 96*a*b*c)*((a + b*x)^(1/2) - a^(1/2))^8)/(d^4*((c + d*x)^(1/2) - c^(1/2))^8) + (a^(1/2)*c^(1/2)*(32*a^2*b^2*d + 96*a*b^3*c)*((a + b*x)^(1/2) - a^(1/2))^4)/(d^6*((c + d*x)^(1/2) - c^(1/2))^4) + (a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6*(128*b^3*c^2 + 64*a^2*b*d^2 + (704*a*b^2*c*d)/3))/(d^6*((c + d*x)^(1/2) - c^(1/2))^6))/(((a + b*x)^(1/2) - a^(1/2))^12/((c + d*x)^(1/2) - c^(1/2))^12 + b^6/d^6 - (6*b^5*((a + b*x)^(1/2) - a^(1/2))^2)/(d^5*((c + d*x)^(1/2) - c^(1/2))^2) + (15*b^4*((a + b*x)^(1/2) - a^(1/2))^4)/(d^4*((c + d*x)^(1/2) - c^(1/2))^4) - (20*b^3*((a + b*x)^(1/2) - a^(1/2))^6)/(d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (15*b^2*((a + b*x)^(1/2) - a^(1/2))^8)/(d^2*((c + d*x)^(1/2) - c^(1/2))^8) - (6*b*((a + b*x)^(1/2) - a^(1/2))^10)/(d*((c + d*x)^(1/2) - c^(1/2))^10))","B"
578,1,589,125,17.913746,"\text{Not used}","int((x*(a + b*x)^(1/2))/(c + d*x)^(1/2),x)","\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{a^2\,b^2\,d^2}{2}+a\,b^3\,c\,d-\frac{3\,b^4\,c^2}{2}\right)}{d^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{7\,a^2\,b\,d^2}{2}+23\,a\,b^2\,c\,d+\frac{11\,b^3\,c^2}{2}\right)}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{7\,a^2\,d^2}{2}+23\,a\,b\,c\,d+\frac{11\,b^2\,c^2}{2}\right)}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}-\frac{8\,a^{3/2}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{a^2\,d^2}{2}+a\,b\,c\,d-\frac{3\,b^2\,c^2}{2}\right)}{b\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,c\,b^2+16\,a\,d\,b\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{8\,a^{3/2}\,b^2\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}+\frac{b^4}{d^4}-\frac{4\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{6\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{4\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}}-\frac{\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)\,\left(a\,d+3\,b\,c\right)}{2\,b^{3/2}\,d^{5/2}}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))*((a^2*b^2*d^2)/2 - (3*b^4*c^2)/2 + a*b^3*c*d))/(d^6*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^3*((11*b^3*c^2)/2 + (7*a^2*b*d^2)/2 + 23*a*b^2*c*d))/(d^5*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^5*((7*a^2*d^2)/2 + (11*b^2*c^2)/2 + 23*a*b*c*d))/(d^4*((c + d*x)^(1/2) - c^(1/2))^5) - (8*a^(3/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6)/(d^2*((c + d*x)^(1/2) - c^(1/2))^6) + (((a + b*x)^(1/2) - a^(1/2))^7*((a^2*d^2)/2 - (3*b^2*c^2)/2 + a*b*c*d))/(b*d^3*((c + d*x)^(1/2) - c^(1/2))^7) - (a^(1/2)*c^(1/2)*(32*b^2*c + 16*a*b*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(d^4*((c + d*x)^(1/2) - c^(1/2))^4) - (8*a^(3/2)*b^2*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(d^4*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^8/((c + d*x)^(1/2) - c^(1/2))^8 + b^4/d^4 - (4*b^3*((a + b*x)^(1/2) - a^(1/2))^2)/(d^3*((c + d*x)^(1/2) - c^(1/2))^2) + (6*b^2*((a + b*x)^(1/2) - a^(1/2))^4)/(d^2*((c + d*x)^(1/2) - c^(1/2))^4) - (4*b*((a + b*x)^(1/2) - a^(1/2))^6)/(d*((c + d*x)^(1/2) - c^(1/2))^6)) - (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)*(a*d + 3*b*c))/(2*b^(3/2)*d^(5/2))","B"
579,1,261,73,3.881057,"\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"
580,1,4312,85,16.931988,"\text{Not used}","int((a + b*x)^(1/2)/(x*(c + d*x)^(1/2)),x)","\frac{4\,\mathrm{atanh}\left(\frac{64\,b^{10}\,c^2\,\sqrt{b\,d}}{200\,a^{3/2}\,b^9\,\sqrt{c}\,d^2-288\,\sqrt{a}\,b^{10}\,c^{3/2}\,d+\frac{544\,a^{5/2}\,b^8\,d^3}{\sqrt{c}}-\frac{528\,a^{7/2}\,b^7\,d^4}{c^{3/2}}+\frac{64\,a^{9/2}\,b^6\,d^5}{c^{5/2}}+\frac{8\,a^{11/2}\,b^5\,d^6}{c^{7/2}}+\frac{64\,b^{10}\,c^2\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{864\,a^2\,b^8\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,a^3\,b^7\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^4\,b^6\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^5\,b^5\,d^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^9\,c\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}}-\frac{864\,b^8\,\sqrt{b\,d}}{\frac{200\,b^9\,\sqrt{c}}{\sqrt{a}}+\frac{544\,\sqrt{a}\,b^8\,d}{\sqrt{c}}-\frac{528\,a^{3/2}\,b^7\,d^2}{c^{3/2}}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}\,d}+\frac{64\,a^{5/2}\,b^6\,d^3}{c^{5/2}}+\frac{8\,a^{7/2}\,b^5\,d^4}{c^{7/2}}-\frac{864\,b^8\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,b^9\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{320\,a\,b^7\,\sqrt{b\,d}}{544\,\sqrt{a}\,b^8\,\sqrt{c}-\frac{528\,a^{3/2}\,b^7\,d}{\sqrt{c}}+\frac{200\,b^9\,c^{3/2}}{\sqrt{a}\,d}+\frac{64\,a^{5/2}\,b^6\,d^2}{c^{3/2}}-\frac{288\,b^{10}\,c^{5/2}}{a^{3/2}\,d^2}+\frac{8\,a^{7/2}\,b^5\,d^3}{c^{5/2}}-\frac{864\,b^8\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,a\,b^7\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{160\,a^2\,b^6\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{368\,b^9\,c\,\sqrt{b\,d}}{200\,\sqrt{a}\,b^9\,\sqrt{c}\,d-\frac{288\,b^{10}\,c^{3/2}}{\sqrt{a}}+\frac{544\,a^{3/2}\,b^8\,d^2}{\sqrt{c}}-\frac{528\,a^{5/2}\,b^7\,d^3}{c^{3/2}}+\frac{64\,a^{7/2}\,b^6\,d^4}{c^{5/2}}+\frac{8\,a^{9/2}\,b^5\,d^5}{c^{7/2}}-\frac{864\,a\,b^8\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,a^2\,b^7\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^3\,b^6\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^4\,b^5\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{160\,a^2\,b^6\,\sqrt{b\,d}}{\frac{64\,a^{5/2}\,b^6\,d}{\sqrt{c}}-528\,a^{3/2}\,b^7\,\sqrt{c}+\frac{544\,\sqrt{a}\,b^8\,c^{3/2}}{d}+\frac{200\,b^9\,c^{5/2}}{\sqrt{a}\,d^2}+\frac{8\,a^{7/2}\,b^5\,d^2}{c^{3/2}}-\frac{288\,b^{10}\,c^{7/2}}{a^{3/2}\,d^3}+\frac{160\,a^2\,b^6\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{864\,b^8\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{48\,a^3\,b^5\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}-\frac{48\,a^3\,b^5\,\sqrt{b\,d}}{64\,a^{5/2}\,b^6\,\sqrt{c}+\frac{8\,a^{7/2}\,b^5\,d}{\sqrt{c}}-\frac{528\,a^{3/2}\,b^7\,c^{3/2}}{d}+\frac{544\,\sqrt{a}\,b^8\,c^{5/2}}{d^2}+\frac{200\,b^9\,c^{7/2}}{\sqrt{a}\,d^3}-\frac{288\,b^{10}\,c^{9/2}}{a^{3/2}\,d^4}+\frac{160\,a^2\,b^6\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{48\,a^3\,b^5\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{864\,b^8\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^4\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{8\,a^{7/2}\,b^4\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^{7/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{8\,a^{7/2}\,b^5}{c^{7/2}}+\frac{544\,\sqrt{a}\,b^8}{\sqrt{c}\,d^3}+\frac{200\,b^9\,\sqrt{c}}{\sqrt{a}\,d^4}-\frac{528\,a^{3/2}\,b^7}{c^{3/2}\,d^2}+\frac{64\,a^{5/2}\,b^6}{c^{5/2}\,d}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}\,d^5}-\frac{864\,b^8\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^4\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^5\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{544\,\sqrt{a}\,b^7\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{544\,\sqrt{a}\,b^8}{\sqrt{c}}-\frac{864\,b^8\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{528\,a^{3/2}\,b^7\,d}{c^{3/2}}+\frac{200\,b^9\,\sqrt{c}}{\sqrt{a}\,d}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}\,d^2}+\frac{64\,a^{5/2}\,b^6\,d^2}{c^{5/2}}+\frac{8\,a^{7/2}\,b^5\,d^3}{c^{7/2}}+\frac{368\,b^9\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}-\frac{528\,a^{3/2}\,b^6\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^{3/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{64\,a^{5/2}\,b^6\,d}{c^{5/2}}-\frac{528\,a^{3/2}\,b^7}{c^{3/2}}+\frac{544\,\sqrt{a}\,b^8}{\sqrt{c}\,d}+\frac{200\,b^9\,\sqrt{c}}{\sqrt{a}\,d^2}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}\,d^3}+\frac{8\,a^{7/2}\,b^5\,d^2}{c^{7/2}}-\frac{864\,b^8\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{200\,b^8\,\sqrt{c}\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{a}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{200\,b^9\,\sqrt{c}}{\sqrt{a}}+\frac{544\,\sqrt{a}\,b^8\,d}{\sqrt{c}}-\frac{528\,a^{3/2}\,b^7\,d^2}{c^{3/2}}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}\,d}+\frac{64\,a^{5/2}\,b^6\,d^3}{c^{5/2}}+\frac{8\,a^{7/2}\,b^5\,d^4}{c^{7/2}}-\frac{864\,b^8\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,b^9\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{64\,a^{5/2}\,b^5\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^{5/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{64\,a^{5/2}\,b^6}{c^{5/2}}+\frac{8\,a^{7/2}\,b^5\,d}{c^{7/2}}+\frac{544\,\sqrt{a}\,b^8}{\sqrt{c}\,d^2}+\frac{200\,b^9\,\sqrt{c}}{\sqrt{a}\,d^3}-\frac{528\,a^{3/2}\,b^7}{c^{3/2}\,d}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}\,d^4}-\frac{864\,b^8\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^4\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}-\frac{288\,b^9\,c^{3/2}\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{3/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{200\,b^9\,\sqrt{c}\,d}{\sqrt{a}}-\frac{288\,b^{10}\,c^{3/2}}{a^{3/2}}+\frac{544\,\sqrt{a}\,b^8\,d^2}{\sqrt{c}}-\frac{528\,a^{3/2}\,b^7\,d^3}{c^{3/2}}+\frac{64\,a^{5/2}\,b^6\,d^4}{c^{5/2}}+\frac{8\,a^{7/2}\,b^5\,d^5}{c^{7/2}}-\frac{864\,b^8\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{64\,b^{10}\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^7\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,a^2\,b^6\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,a^3\,b^5\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,b^9\,c\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}\right)\,\sqrt{b\,d}}{d}-\frac{\sqrt{a}\,\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)-\sqrt{a}\,\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c}}","Not used",1,"(4*atanh((64*b^10*c^2*(b*d)^(1/2))/(200*a^(3/2)*b^9*c^(1/2)*d^2 - 288*a^(1/2)*b^10*c^(3/2)*d + (544*a^(5/2)*b^8*d^3)/c^(1/2) - (528*a^(7/2)*b^7*d^4)/c^(3/2) + (64*a^(9/2)*b^6*d^5)/c^(5/2) + (8*a^(11/2)*b^5*d^6)/c^(7/2) + (64*b^10*c^2*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (864*a^2*b^8*d^3*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*a^3*b^7*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (160*a^4*b^6*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) - (48*a^5*b^5*d^6*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^9*c*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))) - (864*b^8*(b*d)^(1/2))/((200*b^9*c^(1/2))/a^(1/2) + (544*a^(1/2)*b^8*d)/c^(1/2) - (528*a^(3/2)*b^7*d^2)/c^(3/2) - (288*b^10*c^(3/2))/(a^(3/2)*d) + (64*a^(5/2)*b^6*d^3)/c^(5/2) + (8*a^(7/2)*b^5*d^4)/c^(7/2) - (864*b^8*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*b^9*c*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2)))) + (320*a*b^7*(b*d)^(1/2))/(544*a^(1/2)*b^8*c^(1/2) - (528*a^(3/2)*b^7*d)/c^(1/2) + (200*b^9*c^(3/2))/(a^(1/2)*d) + (64*a^(5/2)*b^6*d^2)/c^(3/2) - (288*b^10*c^(5/2))/(a^(3/2)*d^2) + (8*a^(7/2)*b^5*d^3)/c^(5/2) - (864*b^8*c*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*a*b^7*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (160*a^2*b^6*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a*d*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^2*((c + d*x)^(1/2) - c^(1/2)))) + (368*b^9*c*(b*d)^(1/2))/(200*a^(1/2)*b^9*c^(1/2)*d - (288*b^10*c^(3/2))/a^(1/2) + (544*a^(3/2)*b^8*d^2)/c^(1/2) - (528*a^(5/2)*b^7*d^3)/c^(3/2) + (64*a^(7/2)*b^6*d^4)/c^(5/2) + (8*a^(9/2)*b^5*d^5)/c^(7/2) - (864*a*b^8*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*a^2*b^7*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (160*a^3*b^6*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) - (48*a^4*b^5*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2)))) + (160*a^2*b^6*(b*d)^(1/2))/((64*a^(5/2)*b^6*d)/c^(1/2) - 528*a^(3/2)*b^7*c^(1/2) + (544*a^(1/2)*b^8*c^(3/2))/d + (200*b^9*c^(5/2))/(a^(1/2)*d^2) + (8*a^(7/2)*b^5*d^2)/c^(3/2) - (288*b^10*c^(7/2))/(a^(3/2)*d^3) + (160*a^2*b^6*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (864*b^8*c^2*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*c*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (48*a^3*b^5*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a*d^2*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^4*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^3*((c + d*x)^(1/2) - c^(1/2)))) - (48*a^3*b^5*(b*d)^(1/2))/(64*a^(5/2)*b^6*c^(1/2) + (8*a^(7/2)*b^5*d)/c^(1/2) - (528*a^(3/2)*b^7*c^(3/2))/d + (544*a^(1/2)*b^8*c^(5/2))/d^2 + (200*b^9*c^(7/2))/(a^(1/2)*d^3) - (288*b^10*c^(9/2))/(a^(3/2)*d^4) + (160*a^2*b^6*c*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (48*a^3*b^5*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (864*b^8*c^3*((a + b*x)^(1/2) - a^(1/2)))/(d^2*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*c^2*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c^4*((a + b*x)^(1/2) - a^(1/2)))/(a*d^3*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^5*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^4*((c + d*x)^(1/2) - c^(1/2)))) + (8*a^(7/2)*b^4*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(c^(7/2)*((c + d*x)^(1/2) - c^(1/2))*((8*a^(7/2)*b^5)/c^(7/2) + (544*a^(1/2)*b^8)/(c^(1/2)*d^3) + (200*b^9*c^(1/2))/(a^(1/2)*d^4) - (528*a^(3/2)*b^7)/(c^(3/2)*d^2) + (64*a^(5/2)*b^6)/(c^(5/2)*d) - (288*b^10*c^(3/2))/(a^(3/2)*d^5) - (864*b^8*((a + b*x)^(1/2) - a^(1/2)))/(d^3*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*((a + b*x)^(1/2) - a^(1/2)))/(c*d^2*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c*((a + b*x)^(1/2) - a^(1/2)))/(a*d^4*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*((a + b*x)^(1/2) - a^(1/2)))/(c^2*d*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^5*((c + d*x)^(1/2) - c^(1/2))))) + (544*a^(1/2)*b^7*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(c^(1/2)*((c + d*x)^(1/2) - c^(1/2))*((544*a^(1/2)*b^8)/c^(1/2) - (864*b^8*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (528*a^(3/2)*b^7*d)/c^(3/2) + (200*b^9*c^(1/2))/(a^(1/2)*d) - (288*b^10*c^(3/2))/(a^(3/2)*d^2) + (64*a^(5/2)*b^6*d^2)/c^(5/2) + (8*a^(7/2)*b^5*d^3)/c^(7/2) + (368*b^9*c*((a + b*x)^(1/2) - a^(1/2)))/(a*d*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^2*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*d*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))))) - (528*a^(3/2)*b^6*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(c^(3/2)*((c + d*x)^(1/2) - c^(1/2))*((64*a^(5/2)*b^6*d)/c^(5/2) - (528*a^(3/2)*b^7)/c^(3/2) + (544*a^(1/2)*b^8)/(c^(1/2)*d) + (200*b^9*c^(1/2))/(a^(1/2)*d^2) - (288*b^10*c^(3/2))/(a^(3/2)*d^3) + (8*a^(7/2)*b^5*d^2)/c^(7/2) - (864*b^8*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*d*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c*((a + b*x)^(1/2) - a^(1/2)))/(a*d^2*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^3*((c + d*x)^(1/2) - c^(1/2))))) + (200*b^8*c^(1/2)*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(a^(1/2)*((c + d*x)^(1/2) - c^(1/2))*((200*b^9*c^(1/2))/a^(1/2) + (544*a^(1/2)*b^8*d)/c^(1/2) - (528*a^(3/2)*b^7*d^2)/c^(3/2) - (288*b^10*c^(3/2))/(a^(3/2)*d) + (64*a^(5/2)*b^6*d^3)/c^(5/2) + (8*a^(7/2)*b^5*d^4)/c^(7/2) - (864*b^8*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*b^9*c*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))))) + (64*a^(5/2)*b^5*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(c^(5/2)*((c + d*x)^(1/2) - c^(1/2))*((64*a^(5/2)*b^6)/c^(5/2) + (8*a^(7/2)*b^5*d)/c^(7/2) + (544*a^(1/2)*b^8)/(c^(1/2)*d^2) + (200*b^9*c^(1/2))/(a^(1/2)*d^3) - (528*a^(3/2)*b^7)/(c^(3/2)*d) - (288*b^10*c^(3/2))/(a^(3/2)*d^4) - (864*b^8*((a + b*x)^(1/2) - a^(1/2)))/(d^2*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*((a + b*x)^(1/2) - a^(1/2)))/(c*d*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c*((a + b*x)^(1/2) - a^(1/2)))/(a*d^3*((c + d*x)^(1/2) - c^(1/2))) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^4*((c + d*x)^(1/2) - c^(1/2))))) - (288*b^9*c^(3/2)*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(a^(3/2)*((c + d*x)^(1/2) - c^(1/2))*((200*b^9*c^(1/2)*d)/a^(1/2) - (288*b^10*c^(3/2))/a^(3/2) + (544*a^(1/2)*b^8*d^2)/c^(1/2) - (528*a^(3/2)*b^7*d^3)/c^(3/2) + (64*a^(5/2)*b^6*d^4)/c^(5/2) + (8*a^(7/2)*b^5*d^5)/c^(7/2) - (864*b^8*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (64*b^10*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^7*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (160*a^2*b^6*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) - (48*a^3*b^5*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c^3*((c + d*x)^(1/2) - c^(1/2))) + (368*b^9*c*d*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))))))*(b*d)^(1/2))/d - (a^(1/2)*log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2))) - a^(1/2)*log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2))))/c^(1/2)","B"
581,1,439,77,5.181581,"\text{Not used}","int((a + b*x)^(1/2)/(x^2*(c + d*x)^(1/2)),x)","\frac{\frac{\left(\frac{c\,b^2}{4}+\frac{a\,d\,b}{4}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{a}\,c^{3/2}\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{b^2}{4\,c\,d}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{a^2\,d^2}{4}-\frac{3\,a\,b\,c\,d}{4}+\frac{b^2\,c^2}{4}\right)}{a\,c^2\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{b\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{\left(a\,d+b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}-\frac{d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{4\,c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}-a^{3/2}\,\sqrt{c}\,d\right)}{2\,a\,c^2}-\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}-a^{3/2}\,\sqrt{c}\,d\right)}{2\,a\,c^2}","Not used",1,"((((b^2*c)/4 + (a*b*d)/4)*((a + b*x)^(1/2) - a^(1/2)))/(a^(1/2)*c^(3/2)*d*((c + d*x)^(1/2) - c^(1/2))) - b^2/(4*c*d) + (((a + b*x)^(1/2) - a^(1/2))^2*((a^2*d^2)/4 + (b^2*c^2)/4 - (3*a*b*c*d)/4))/(a*c^2*d*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^3/((c + d*x)^(1/2) - c^(1/2))^3 + (b*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) - ((a*d + b*c)*((a + b*x)^(1/2) - a^(1/2))^2)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^2)) - (d*((a + b*x)^(1/2) - a^(1/2)))/(4*c*((c + d*x)^(1/2) - c^(1/2))) + (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) - a^(3/2)*c^(1/2)*d))/(2*a*c^2) - (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) - a^(3/2)*c^(1/2)*d))/(2*a*c^2)","B"
582,1,893,131,19.766142,"\text{Not used}","int((a + b*x)^(1/2)/(x^3*(c + d*x)^(1/2)),x)","\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^2\,c^{5/2}-3\,a^{5/2}\,\sqrt{c}\,d^2+2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^2\,c^3}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{b\,d}{4\,a\,c}-\frac{3\,d\,\left(a\,d+b\,c\right)}{16\,a\,c^2}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^2\,c^{5/2}-3\,a^{5/2}\,\sqrt{c}\,d^2+2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^2\,c^3}-\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{a^2\,d^2}{4}-\frac{11\,a\,b\,c\,d}{16}+\frac{5\,b^2\,c^2}{16}\right)}{a\,c^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}-\frac{b^4}{32\,\sqrt{a}\,c^{3/2}\,d^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{11\,a^2\,b^2\,d^2}{32}+\frac{a\,b^3\,c\,d}{8}-\frac{5\,b^4\,c^2}{32}\right)}{a^{3/2}\,c^{5/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{a^3\,b\,d^3}{16}-\frac{9\,a^2\,b^2\,c\,d^2}{8}+\frac{3\,a\,b^3\,c^2\,d}{8}+\frac{b^4\,c^3}{16}\right)}{a^2\,c^3\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{\left(\frac{b^4\,c}{8}-\frac{a\,b^3\,d}{8}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,c^2\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(-\frac{7\,a^4\,d^4}{32}+\frac{a^3\,b\,c\,d^3}{2}+\frac{21\,a^2\,b^2\,c^2\,d^2}{32}-\frac{a\,b^3\,c^3\,d}{2}+\frac{b^4\,c^4}{32}\right)}{a^{5/2}\,c^{7/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{b^2\,{\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(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{\left(2\,c\,b^2+2\,a\,d\,b\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{\sqrt{a}\,\sqrt{c}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}+\frac{d^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{32\,\sqrt{a}\,c^{3/2}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}","Not used",1,"(log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^2*c^(5/2) - 3*a^(5/2)*c^(1/2)*d^2 + 2*a^(3/2)*b*c^(3/2)*d))/(8*a^2*c^3) - (((a + b*x)^(1/2) - a^(1/2))*((b*d)/(4*a*c) - (3*d*(a*d + b*c))/(16*a*c^2)))/((c + d*x)^(1/2) - c^(1/2)) - (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^2*c^(5/2) - 3*a^(5/2)*c^(1/2)*d^2 + 2*a^(3/2)*b*c^(3/2)*d))/(8*a^2*c^3) - ((((a + b*x)^(1/2) - a^(1/2))^5*((a^2*d^2)/4 + (5*b^2*c^2)/16 - (11*a*b*c*d)/16))/(a*c^3*((c + d*x)^(1/2) - c^(1/2))^5) - b^4/(32*a^(1/2)*c^(3/2)*d^2) + (((a + b*x)^(1/2) - a^(1/2))^2*((11*a^2*b^2*d^2)/32 - (5*b^4*c^2)/32 + (a*b^3*c*d)/8))/(a^(3/2)*c^(5/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^2) + (((a + b*x)^(1/2) - a^(1/2))^3*((b^4*c^3)/16 + (a^3*b*d^3)/16 - (9*a^2*b^2*c*d^2)/8 + (3*a*b^3*c^2*d)/8))/(a^2*c^3*d^2*((c + d*x)^(1/2) - c^(1/2))^3) + (((b^4*c)/8 - (a*b^3*d)/8)*((a + b*x)^(1/2) - a^(1/2)))/(a*c^2*d^2*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^4*((b^4*c^4)/32 - (7*a^4*d^4)/32 + (21*a^2*b^2*c^2*d^2)/32 - (a*b^3*c^3*d)/2 + (a^3*b*c*d^3)/2))/(a^(5/2)*c^(7/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^6/((c + d*x)^(1/2) - c^(1/2))^6 + (b^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*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^4) - ((2*b^2*c + 2*a*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(a^(1/2)*c^(1/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - ((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^5)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^5)) + (d^2*((a + b*x)^(1/2) - a^(1/2))^2)/(32*a^(1/2)*c^(3/2)*((c + d*x)^(1/2) - c^(1/2))^2)","B"
583,1,1570,190,91.078817,"\text{Not used}","int((a + b*x)^(1/2)/(x^4*(c + d*x)^(1/2)),x)","\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(-\frac{13\,a^4\,b^2\,d^4}{64}-\frac{23\,a^3\,b^3\,c\,d^3}{16}+\frac{7\,a^2\,b^4\,c^2\,d^2}{16}+\frac{a\,b^5\,c^3\,d}{2}+\frac{5\,b^6\,c^4}{64}\right)}{a^3\,c^4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{b^6}{192\,a\,c^2\,d^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(-\frac{17\,a^5\,b\,d^5}{64}+\frac{3\,a^4\,b^2\,c\,d^4}{2}+\frac{47\,a^3\,b^3\,c^2\,d^3}{32}-\frac{37\,a^2\,b^4\,c^3\,d^2}{32}-\frac{7\,a\,b^5\,c^4\,d}{16}+\frac{b^6\,c^5}{64}\right)}{a^{7/2}\,c^{9/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-\frac{5\,a^2\,b^4\,d^2}{64}+\frac{3\,a\,b^5\,c\,d}{32}+\frac{b^6\,c^2}{64}\right)}{a^2\,c^3\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{27\,a^5\,d^5}{64}-\frac{45\,a^4\,b\,c\,d^4}{64}-\frac{69\,a^3\,b^2\,c^2\,d^3}{64}+\frac{49\,a^2\,b^3\,c^3\,d^2}{64}+\frac{13\,a\,b^4\,c^4\,d}{64}-\frac{3\,b^5\,c^5}{64}\right)}{a^{7/2}\,c^{9/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}+\frac{\left(\frac{b^6\,c}{64}-\frac{a\,b^5\,d}{64}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{3/2}\,c^{5/2}\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(-\frac{73\,a^3\,b^3\,d^3}{192}-\frac{3\,a^2\,b^4\,c\,d^2}{32}+\frac{9\,a\,b^5\,c^2\,d}{32}+\frac{17\,b^6\,c^3}{192}\right)}{a^{5/2}\,c^{7/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(\frac{37\,a^6\,d^6}{192}+\frac{a^5\,b\,c\,d^5}{8}-\frac{5\,a^4\,b^2\,c^2\,d^4}{2}+\frac{5\,a^3\,b^3\,c^3\,d^3}{32}+a^2\,b^4\,c^4\,d^2+\frac{a\,b^5\,c^5\,d}{16}-\frac{5\,b^6\,c^6}{192}\right)}{a^4\,c^5\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8\,\left(\frac{15\,a^4\,d^4}{64}-\frac{19\,a^3\,b\,c\,d^3}{32}+\frac{13\,a^2\,b^2\,c^2\,d^2}{64}+\frac{3\,a\,b^3\,c^3\,d}{32}-\frac{b^4\,c^4}{64}\right)}{a^3\,c^4\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}+\frac{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(3\,a^2\,d^2+9\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^3\,d^3+9\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{a^{3/2}\,c^{3/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}-\frac{\left(3\,a\,d+3\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{\left(3\,c\,b^3+3\,a\,d\,b^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{\sqrt{a}\,\sqrt{c}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(3\,a^2\,b\,d^2+9\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}{a\,c\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{d\,\left(3\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2\right)}{32\,a^2\,c^3}+\frac{4\,\left(a\,d+b\,c\right)\,\left(\frac{b\,d^2}{16\,a^{3/2}\,c^{3/2}}-\frac{d^2\,\left(a\,d+b\,c\right)}{16\,a^{3/2}\,c^{5/2}}\right)}{\sqrt{a}\,\sqrt{c}\,d}+\frac{b\,d\,\left(3\,a\,d-4\,b\,c\right)}{64\,a^2\,c^2}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{\left(\frac{b\,d^2}{32\,a^{3/2}\,c^{3/2}}-\frac{d^2\,\left(a\,d+b\,c\right)}{32\,a^{3/2}\,c^{5/2}}\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^3\,c^{7/2}-5\,a^{7/2}\,\sqrt{c}\,d^3+a^{3/2}\,b^2\,c^{5/2}\,d+3\,a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^3\,c^4}-\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b^3\,c^{7/2}-5\,a^{7/2}\,\sqrt{c}\,d^3+a^{3/2}\,b^2\,c^{5/2}\,d+3\,a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^3\,c^4}-\frac{d^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{192\,a\,c^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))^4*((5*b^6*c^4)/64 - (13*a^4*b^2*d^4)/64 - (23*a^3*b^3*c*d^3)/16 + (7*a^2*b^4*c^2*d^2)/16 + (a*b^5*c^3*d)/2))/(a^3*c^4*d^3*((c + d*x)^(1/2) - c^(1/2))^4) - b^6/(192*a*c^2*d^3) + (((a + b*x)^(1/2) - a^(1/2))^5*((b^6*c^5)/64 - (17*a^5*b*d^5)/64 + (3*a^4*b^2*c*d^4)/2 - (37*a^2*b^4*c^3*d^2)/32 + (47*a^3*b^3*c^2*d^3)/32 - (7*a*b^5*c^4*d)/16))/(a^(7/2)*c^(9/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^2*((b^6*c^2)/64 - (5*a^2*b^4*d^2)/64 + (3*a*b^5*c*d)/32))/(a^2*c^3*d^3*((c + d*x)^(1/2) - c^(1/2))^2) - (((a + b*x)^(1/2) - a^(1/2))^7*((27*a^5*d^5)/64 - (3*b^5*c^5)/64 + (49*a^2*b^3*c^3*d^2)/64 - (69*a^3*b^2*c^2*d^3)/64 + (13*a*b^4*c^4*d)/64 - (45*a^4*b*c*d^4)/64))/(a^(7/2)*c^(9/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^7) + (((b^6*c)/64 - (a*b^5*d)/64)*((a + b*x)^(1/2) - a^(1/2)))/(a^(3/2)*c^(5/2)*d^3*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^3*((17*b^6*c^3)/192 - (73*a^3*b^3*d^3)/192 - (3*a^2*b^4*c*d^2)/32 + (9*a*b^5*c^2*d)/32))/(a^(5/2)*c^(7/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^6*((37*a^6*d^6)/192 - (5*b^6*c^6)/192 + a^2*b^4*c^4*d^2 + (5*a^3*b^3*c^3*d^3)/32 - (5*a^4*b^2*c^2*d^4)/2 + (a*b^5*c^5*d)/16 + (a^5*b*c*d^5)/8))/(a^4*c^5*d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (((a + b*x)^(1/2) - a^(1/2))^8*((15*a^4*d^4)/64 - (b^4*c^4)/64 + (13*a^2*b^2*c^2*d^2)/64 + (3*a*b^3*c^3*d)/32 - (19*a^3*b*c*d^3)/32))/(a^3*c^4*d*((c + d*x)^(1/2) - c^(1/2))^8))/(((a + b*x)^(1/2) - a^(1/2))^9/((c + d*x)^(1/2) - c^(1/2))^9 + (b^3*((a + b*x)^(1/2) - a^(1/2))^3)/(d^3*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^7*(3*a^2*d^2 + 3*b^2*c^2 + 9*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^6*(a^3*d^3 + b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2))/(a^(3/2)*c^(3/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^6) - ((3*a*d + 3*b*c)*((a + b*x)^(1/2) - a^(1/2))^8)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^8) - ((3*b^3*c + 3*a*b^2*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(a^(1/2)*c^(1/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^4) + (((a + b*x)^(1/2) - a^(1/2))^5*(3*b^3*c^2 + 3*a^2*b*d^2 + 9*a*b^2*c*d))/(a*c*d^3*((c + d*x)^(1/2) - c^(1/2))^5)) + (((a + b*x)^(1/2) - a^(1/2))*((d*(3*a^2*d^2 + 3*b^2*c^2 + 8*a*b*c*d))/(32*a^2*c^3) + (4*(a*d + b*c)*((b*d^2)/(16*a^(3/2)*c^(3/2)) - (d^2*(a*d + b*c))/(16*a^(3/2)*c^(5/2))))/(a^(1/2)*c^(1/2)*d) + (b*d*(3*a*d - 4*b*c))/(64*a^2*c^2)))/((c + d*x)^(1/2) - c^(1/2)) + (((b*d^2)/(32*a^(3/2)*c^(3/2)) - (d^2*(a*d + b*c))/(32*a^(3/2)*c^(5/2)))*((a + b*x)^(1/2) - a^(1/2))^2)/((c + d*x)^(1/2) - c^(1/2))^2 + (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^3*c^(7/2) - 5*a^(7/2)*c^(1/2)*d^3 + a^(3/2)*b^2*c^(5/2)*d + 3*a^(5/2)*b*c^(3/2)*d^2))/(16*a^3*c^4) - (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b^3*c^(7/2) - 5*a^(7/2)*c^(1/2)*d^3 + a^(3/2)*b^2*c^(5/2)*d + 3*a^(5/2)*b*c^(3/2)*d^2))/(16*a^3*c^4) - (d^3*((a + b*x)^(1/2) - a^(1/2))^3)/(192*a*c^2*((c + d*x)^(1/2) - c^(1/2))^3)","B"
584,-1,-1,279,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x^5*(c + d*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
585,0,-1,189,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(1/2))/(c + d*x)^(3/2),x)","\int \frac{x^2\,\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^(1/2))/(c + d*x)^(3/2), x)","F"
586,0,-1,127,0.000000,"\text{Not used}","int((x*(a + b*x)^(1/2))/(c + d*x)^(3/2),x)","\int \frac{x\,\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*x)^(1/2))/(c + d*x)^(3/2), x)","F"
587,0,-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"
588,0,-1,66,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x*(c + d*x)^(3/2)),x)","\int \frac{\sqrt{a+b\,x}}{x\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x*(c + d*x)^(3/2)), x)","F"
589,0,-1,113,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x^2*(c + d*x)^(3/2)),x)","\int \frac{\sqrt{a+b\,x}}{x^2\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x^2*(c + d*x)^(3/2)), x)","F"
590,0,-1,171,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x^3*(c + d*x)^(3/2)),x)","\int \frac{\sqrt{a+b\,x}}{x^3\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x^3*(c + d*x)^(3/2)), x)","F"
591,0,-1,218,0.000000,"\text{Not used}","int((x^3*(a + b*x)^(1/2))/(c + d*x)^(5/2),x)","\int \frac{x^3\,\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(a + b*x)^(1/2))/(c + d*x)^(5/2), x)","F"
592,0,-1,165,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(1/2))/(c + d*x)^(5/2),x)","\int \frac{x^2\,\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^(1/2))/(c + d*x)^(5/2), x)","F"
593,0,-1,102,0.000000,"\text{Not used}","int((x*(a + b*x)^(1/2))/(c + d*x)^(5/2),x)","\int \frac{x\,\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x*(a + b*x)^(1/2))/(c + d*x)^(5/2), x)","F"
594,1,130,32,0.940125,"\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"
595,0,-1,102,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x*(c + d*x)^(5/2)),x)","\int \frac{\sqrt{a+b\,x}}{x\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x*(c + d*x)^(5/2)), x)","F"
596,0,-1,148,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x^2*(c + d*x)^(5/2)),x)","\int \frac{\sqrt{a+b\,x}}{x^2\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x^2*(c + d*x)^(5/2)), x)","F"
597,0,-1,234,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x^3*(c + d*x)^(5/2)),x)","\int \frac{\sqrt{a+b\,x}}{x^3\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x^3*(c + d*x)^(5/2)), x)","F"
598,0,-1,315,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(3/2)*(c + d*x)^(1/2),x)","\int x^2\,{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int(x^2*(a + b*x)^(3/2)*(c + d*x)^(1/2), x)","F"
599,0,-1,221,0.000000,"\text{Not used}","int(x*(a + b*x)^(3/2)*(c + d*x)^(1/2),x)","\int x\,{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int(x*(a + b*x)^(3/2)*(c + d*x)^(1/2), x)","F"
600,0,-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"
601,0,-1,164,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}}{x} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x, x)","F"
602,0,-1,144,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^2, x)","F"
603,0,-1,171,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^3,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^3, x)","F"
604,0,-1,160,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^4,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^4, x)","F"
605,0,-1,233,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^5,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^5, x)","F"
606,0,-1,340,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^6,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2))/x^6, x)","F"
607,0,-1,349,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2),x)","\int x^2\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2), x)","F"
608,0,-1,258,0.000000,"\text{Not used}","int(x*(a + b*x)^(3/2)*(c + d*x)^(3/2),x)","\int x\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x)^(3/2)*(c + d*x)^(3/2), x)","F"
609,0,-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"
610,0,-1,213,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x, x)","F"
611,0,-1,191,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^2, x)","F"
612,0,-1,209,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^3,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^3, x)","F"
613,0,-1,222,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^4,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^4, x)","F"
614,0,-1,201,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^5,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^5, x)","F"
615,0,-1,273,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^6,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^6, x)","F"
616,0,-1,437,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(3/2)*(c + d*x)^(5/2),x)","\int x^2\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int(x^2*(a + b*x)^(3/2)*(c + d*x)^(5/2), x)","F"
617,0,-1,315,0.000000,"\text{Not used}","int(x*(a + b*x)^(3/2)*(c + d*x)^(5/2),x)","\int x\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int(x*(a + b*x)^(3/2)*(c + d*x)^(5/2), x)","F"
618,0,-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"
619,0,-1,304,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x, x)","F"
620,0,-1,257,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^2, x)","F"
621,0,-1,258,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^3,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^3, x)","F"
622,0,-1,292,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^4,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^4, x)","F"
623,0,-1,316,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^5,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^5, x)","F"
624,0,-1,242,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^6,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^6, x)","F"
625,0,-1,333,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^7,x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}}{x^7} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^7, x)","F"
626,0,-1,254,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(3/2))/(c + d*x)^(1/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{3/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((x^2*(a + b*x)^(3/2))/(c + d*x)^(1/2), x)","F"
627,0,-1,171,0.000000,"\text{Not used}","int((x*(a + b*x)^(3/2))/(c + d*x)^(1/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^{3/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((x*(a + b*x)^(3/2))/(c + d*x)^(1/2), x)","F"
628,0,-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"
629,0,-1,116,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x*(c + d*x)^(1/2)), x)","F"
630,0,-1,121,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^2*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^2\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^2*(c + d*x)^(1/2)), x)","F"
631,0,-1,119,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^3*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^3\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^3*(c + d*x)^(1/2)), x)","F"
632,0,-1,180,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^4*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^4\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^4*(c + d*x)^(1/2)), x)","F"
633,0,-1,266,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^5*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^5\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^5*(c + d*x)^(1/2)), x)","F"
634,0,-1,248,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(3/2))/(c + d*x)^(3/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^(3/2))/(c + d*x)^(3/2), x)","F"
635,0,-1,174,0.000000,"\text{Not used}","int((x*(a + b*x)^(3/2))/(c + d*x)^(3/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*x)^(3/2))/(c + d*x)^(3/2), x)","F"
636,0,-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"
637,0,-1,119,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x*(c + d*x)^(3/2)), x)","F"
638,0,-1,108,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^2*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^2\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^2*(c + d*x)^(3/2)), x)","F"
639,0,-1,175,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^3*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^3\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^3*(c + d*x)^(3/2)), x)","F"
640,0,-1,240,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^4*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^4\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^4*(c + d*x)^(3/2)), x)","F"
641,0,-1,267,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(3/2))/(c + d*x)^(5/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^(3/2))/(c + d*x)^(5/2), x)","F"
642,0,-1,174,0.000000,"\text{Not used}","int((x*(a + b*x)^(3/2))/(c + d*x)^(5/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x*(a + b*x)^(3/2))/(c + d*x)^(5/2), x)","F"
643,0,-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"
644,0,-1,92,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x*(c + d*x)^(5/2)), x)","F"
645,0,-1,149,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^2*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^2\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^2*(c + d*x)^(5/2)), x)","F"
646,0,-1,204,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(x^3*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^3\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(x^3*(c + d*x)^(5/2)), x)","F"
647,0,-1,376,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(5/2)*(c + d*x)^(1/2),x)","\int x^2\,{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int(x^2*(a + b*x)^(5/2)*(c + d*x)^(1/2), x)","F"
648,0,-1,268,0.000000,"\text{Not used}","int(x*(a + b*x)^(5/2)*(c + d*x)^(1/2),x)","\int x\,{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int(x*(a + b*x)^(5/2)*(c + d*x)^(1/2), x)","F"
649,0,-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"
650,0,-1,218,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}}{x} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x, x)","F"
651,0,-1,197,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^2, x)","F"
652,0,-1,212,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^3,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^3, x)","F"
653,0,-1,228,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^4,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^4, x)","F"
654,0,-1,198,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^5,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^5, x)","F"
655,0,-1,283,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^6,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(1/2))/x^6, x)","F"
656,0,-1,437,0.000000,"\text{Not used}","int(x^2*(a + b*x)^(5/2)*(c + d*x)^(3/2),x)","\int x^2\,{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b*x)^(5/2)*(c + d*x)^(3/2), x)","F"
657,0,-1,315,0.000000,"\text{Not used}","int(x*(a + b*x)^(5/2)*(c + d*x)^(3/2),x)","\int x\,{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x)^(5/2)*(c + d*x)^(3/2), x)","F"
658,0,-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"
659,0,-1,299,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x, x)","F"
660,0,-1,259,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^2, x)","F"
661,0,-1,275,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^3,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^3, x)","F"
662,0,-1,294,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^4,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^4, x)","F"
663,0,-1,313,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^5,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^5, x)","F"
664,0,-1,239,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^6,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^6, x)","F"
665,0,-1,348,0.000000,"\text{Not used}","int(x*(a + b*x)^(5/2)*(c + d*x)^(5/2),x)","\int x\,{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int(x*(a + b*x)^(5/2)*(c + d*x)^(5/2), x)","F"
666,0,-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"
667,0,-1,391,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x, x)","F"
668,0,-1,334,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^2, x)","F"
669,0,-1,319,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^3,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^3, x)","F"
670,0,-1,339,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^4,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^4, x)","F"
671,0,-1,380,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^5,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^5, x)","F"
672,0,-1,406,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^6,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x^6} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^6, x)","F"
673,0,-1,280,0.000000,"\text{Not used}","int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^7,x)","\int \frac{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}}{x^7} \,d x","Not used",1,"int(((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^7, x)","F"
674,0,-1,314,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(5/2))/(c + d*x)^(1/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{5/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((x^2*(a + b*x)^(5/2))/(c + d*x)^(1/2), x)","F"
675,0,-1,217,0.000000,"\text{Not used}","int((x*(a + b*x)^(5/2))/(c + d*x)^(1/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^{5/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((x*(a + b*x)^(5/2))/(c + d*x)^(1/2), x)","F"
676,0,-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"
677,0,-1,171,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x*(c + d*x)^(1/2)), x)","F"
678,0,-1,162,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^2*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^2\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^2*(c + d*x)^(1/2)), x)","F"
679,0,-1,177,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^3*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^3\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^3*(c + d*x)^(1/2)), x)","F"
680,0,-1,157,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^4*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^4\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^4*(c + d*x)^(1/2)), x)","F"
681,0,-1,229,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^5*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^5\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^5*(c + d*x)^(1/2)), x)","F"
682,0,-1,309,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(5/2))/(c + d*x)^(3/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^(5/2))/(c + d*x)^(3/2), x)","F"
683,0,-1,218,0.000000,"\text{Not used}","int((x*(a + b*x)^(5/2))/(c + d*x)^(3/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*x)^(5/2))/(c + d*x)^(3/2), x)","F"
684,0,-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"
685,0,-1,163,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x*(c + d*x)^(3/2)), x)","F"
686,0,-1,164,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^2*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^2\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^2*(c + d*x)^(3/2)), x)","F"
687,0,-1,154,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^3*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^3\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^3*(c + d*x)^(3/2)), x)","F"
688,0,-1,226,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^4*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^4\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^4*(c + d*x)^(3/2)), x)","F"
689,0,-1,317,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^5*(c + d*x)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^5\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^5*(c + d*x)^(3/2)), x)","F"
690,0,-1,377,0.000000,"\text{Not used}","int((x^3*(a + b*x)^(5/2))/(c + d*x)^(5/2),x)","\int \frac{x^3\,{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(a + b*x)^(5/2))/(c + d*x)^(5/2), x)","F"
691,0,-1,319,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(5/2))/(c + d*x)^(5/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^(5/2))/(c + d*x)^(5/2), x)","F"
692,0,-1,222,0.000000,"\text{Not used}","int((x*(a + b*x)^(5/2))/(c + d*x)^(5/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((x*(a + b*x)^(5/2))/(c + d*x)^(5/2), x)","F"
693,0,-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"
694,0,-1,157,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x*(c + d*x)^(5/2)), x)","F"
695,0,-1,142,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^2*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^2\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^2*(c + d*x)^(5/2)), x)","F"
696,0,-1,220,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^3*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^3\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^3*(c + d*x)^(5/2)), x)","F"
697,0,-1,278,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^4*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^4\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^4*(c + d*x)^(5/2)), x)","F"
698,0,-1,388,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(x^5*(c + d*x)^(5/2)),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^5\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(x^5*(c + d*x)^(5/2)), x)","F"
699,1,924,191,50.195087,"\text{Not used}","int((x^2*(c + d*x)^(1/2))/(a + b*x)^(1/2),x)","-\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-\frac{5\,a^3\,b^2\,d^3}{4}+\frac{3\,a^2\,b^3\,c\,d^2}{4}+\frac{a\,b^4\,c^2\,d}{4}+\frac{b^5\,c^3}{4}\right)}{d^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{33\,a^3\,d^3}{2}+\frac{313\,a^2\,b\,c\,d^2}{2}+\frac{275\,a\,b^2\,c^2\,d}{2}+\frac{19\,b^3\,c^3}{2}\right)}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(-\frac{85\,a^3\,b\,d^3}{12}+\frac{17\,a^2\,b^2\,c\,d^2}{4}+\frac{91\,a\,b^3\,c^2\,d}{4}+\frac{17\,b^4\,c^3}{12}\right)}{d^7\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}\,\left(-\frac{5\,a^3\,d^3}{4}+\frac{3\,a^2\,b\,c\,d^2}{4}+\frac{a\,b^2\,c^2\,d}{4}+\frac{b^3\,c^3}{4}\right)}{b^3\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{11}}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9\,\left(-\frac{85\,a^3\,d^3}{12}+\frac{17\,a^2\,b\,c\,d^2}{4}+\frac{91\,a\,b^2\,c^2\,d}{4}+\frac{17\,b^3\,c^3}{12}\right)}{b^2\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{33\,a^3\,d^3}{2}+\frac{313\,a^2\,b\,c\,d^2}{2}+\frac{275\,a\,b^2\,c^2\,d}{2}+\frac{19\,b^3\,c^3}{2}\right)}{b\,d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}+\frac{\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(128\,a^2\,d^2+\frac{704\,a\,b\,c\,d}{3}+64\,b^2\,c^2\right)}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,b\,c^2+96\,a\,d\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}+\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,b^3\,c^2+96\,a\,d\,b^2\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{12}}+\frac{b^6}{d^6}-\frac{6\,b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{15\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{20\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{15\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{6\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}}-\frac{\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)\,\left(5\,a^2\,d^2+2\,a\,b\,c\,d+b^2\,c^2\right)}{4\,b^{7/2}\,d^{5/2}}","Not used",1,"- ((((a + b*x)^(1/2) - a^(1/2))*((b^5*c^3)/4 - (5*a^3*b^2*d^3)/4 + (3*a^2*b^3*c*d^2)/4 + (a*b^4*c^2*d)/4))/(d^8*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^5*((33*a^3*d^3)/2 + (19*b^3*c^3)/2 + (275*a*b^2*c^2*d)/2 + (313*a^2*b*c*d^2)/2))/(d^6*((c + d*x)^(1/2) - c^(1/2))^5) - (((a + b*x)^(1/2) - a^(1/2))^3*((17*b^4*c^3)/12 - (85*a^3*b*d^3)/12 + (17*a^2*b^2*c*d^2)/4 + (91*a*b^3*c^2*d)/4))/(d^7*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^11*((b^3*c^3)/4 - (5*a^3*d^3)/4 + (a*b^2*c^2*d)/4 + (3*a^2*b*c*d^2)/4))/(b^3*d^3*((c + d*x)^(1/2) - c^(1/2))^11) - (((a + b*x)^(1/2) - a^(1/2))^9*((17*b^3*c^3)/12 - (85*a^3*d^3)/12 + (91*a*b^2*c^2*d)/4 + (17*a^2*b*c*d^2)/4))/(b^2*d^4*((c + d*x)^(1/2) - c^(1/2))^9) - (((a + b*x)^(1/2) - a^(1/2))^7*((33*a^3*d^3)/2 + (19*b^3*c^3)/2 + (275*a*b^2*c^2*d)/2 + (313*a^2*b*c*d^2)/2))/(b*d^5*((c + d*x)^(1/2) - c^(1/2))^7) + (a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6*(128*a^2*d^2 + 64*b^2*c^2 + (704*a*b*c*d)/3))/(d^5*((c + d*x)^(1/2) - c^(1/2))^6) + (a^(1/2)*c^(1/2)*(32*b*c^2 + 96*a*c*d)*((a + b*x)^(1/2) - a^(1/2))^8)/(d^4*((c + d*x)^(1/2) - c^(1/2))^8) + (a^(1/2)*c^(1/2)*(32*b^3*c^2 + 96*a*b^2*c*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(d^6*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^12/((c + d*x)^(1/2) - c^(1/2))^12 + b^6/d^6 - (6*b^5*((a + b*x)^(1/2) - a^(1/2))^2)/(d^5*((c + d*x)^(1/2) - c^(1/2))^2) + (15*b^4*((a + b*x)^(1/2) - a^(1/2))^4)/(d^4*((c + d*x)^(1/2) - c^(1/2))^4) - (20*b^3*((a + b*x)^(1/2) - a^(1/2))^6)/(d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (15*b^2*((a + b*x)^(1/2) - a^(1/2))^8)/(d^2*((c + d*x)^(1/2) - c^(1/2))^8) - (6*b*((a + b*x)^(1/2) - a^(1/2))^10)/(d*((c + d*x)^(1/2) - c^(1/2))^10)) - (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)*(5*a^2*d^2 + b^2*c^2 + 2*a*b*c*d))/(4*b^(7/2)*d^(5/2))","B"
700,1,584,125,18.395145,"\text{Not used}","int((x*(c + d*x)^(1/2))/(a + b*x)^(1/2),x)","\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-\frac{3\,a^2\,b\,d^2}{2}+a\,b^2\,c\,d+\frac{b^3\,c^2}{2}\right)}{d^5\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{11\,a^2\,d^2}{2}+23\,a\,b\,c\,d+\frac{7\,b^2\,c^2}{2}\right)}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{8\,\sqrt{a}\,c^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(-\frac{3\,a^2\,d^2}{2}+a\,b\,c\,d+\frac{b^2\,c^2}{2}\right)}{b^2\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{11\,a^2\,d^2}{2}+23\,a\,b\,c\,d+\frac{7\,b^2\,c^2}{2}\right)}{b\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}-\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,a\,d+16\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{8\,\sqrt{a}\,b^2\,c^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}+\frac{b^4}{d^4}-\frac{4\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{6\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{4\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}}+\frac{\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)\,\left(3\,a\,d+b\,c\right)}{2\,b^{5/2}\,d^{3/2}}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))*((b^3*c^2)/2 - (3*a^2*b*d^2)/2 + a*b^2*c*d))/(d^5*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^3*((11*a^2*d^2)/2 + (7*b^2*c^2)/2 + 23*a*b*c*d))/(d^4*((c + d*x)^(1/2) - c^(1/2))^3) - (8*a^(1/2)*c^(3/2)*((a + b*x)^(1/2) - a^(1/2))^6)/(d^2*((c + d*x)^(1/2) - c^(1/2))^6) + (((a + b*x)^(1/2) - a^(1/2))^7*((b^2*c^2)/2 - (3*a^2*d^2)/2 + a*b*c*d))/(b^2*d^2*((c + d*x)^(1/2) - c^(1/2))^7) + (((a + b*x)^(1/2) - a^(1/2))^5*((11*a^2*d^2)/2 + (7*b^2*c^2)/2 + 23*a*b*c*d))/(b*d^3*((c + d*x)^(1/2) - c^(1/2))^5) - (a^(1/2)*c^(1/2)*(32*a*d + 16*b*c)*((a + b*x)^(1/2) - a^(1/2))^4)/(d^3*((c + d*x)^(1/2) - c^(1/2))^4) - (8*a^(1/2)*b^2*c^(3/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(d^4*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^8/((c + d*x)^(1/2) - c^(1/2))^8 + b^4/d^4 - (4*b^3*((a + b*x)^(1/2) - a^(1/2))^2)/(d^3*((c + d*x)^(1/2) - c^(1/2))^2) + (6*b^2*((a + b*x)^(1/2) - a^(1/2))^4)/(d^2*((c + d*x)^(1/2) - c^(1/2))^4) - (4*b*((a + b*x)^(1/2) - a^(1/2))^6)/(d*((c + d*x)^(1/2) - c^(1/2))^6)) + (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)*(3*a*d + b*c))/(2*b^(5/2)*d^(3/2))","B"
701,1,260,72,4.010865,"\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"
702,1,4311,85,18.139233,"\text{Not used}","int((c + d*x)^(1/2)/(x*(a + b*x)^(1/2)),x)","\frac{\sqrt{c}\,\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)-\sqrt{c}\,\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{a}}+\frac{4\,\mathrm{atanh}\left(\frac{64\,a^2\,b^2\,\sqrt{b\,d}}{\frac{200\,\sqrt{a}\,b^4\,c^{3/2}}{d}-288\,a^{3/2}\,b^3\,\sqrt{c}+\frac{544\,b^5\,c^{5/2}}{\sqrt{a}\,d^2}-\frac{528\,b^6\,c^{7/2}}{a^{3/2}\,d^3}+\frac{64\,b^7\,c^{9/2}}{a^{5/2}\,d^4}+\frac{8\,b^8\,c^{11/2}}{a^{7/2}\,d^5}+\frac{64\,a^2\,b^2\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{864\,b^4\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,b^5\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d^4\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}-\frac{864\,b^4\,\sqrt{b\,d}}{\frac{544\,b^5\,\sqrt{c}}{\sqrt{a}}+\frac{200\,\sqrt{a}\,b^4\,d}{\sqrt{c}}-\frac{288\,a^{3/2}\,b^3\,d^2}{c^{3/2}}-\frac{528\,b^6\,c^{3/2}}{a^{3/2}\,d}+\frac{64\,b^7\,c^{5/2}}{a^{5/2}\,d^2}+\frac{8\,b^8\,c^{7/2}}{a^{7/2}\,d^3}-\frac{864\,b^4\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,b^5\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{368\,a\,b^3\,\sqrt{b\,d}}{200\,\sqrt{a}\,b^4\,\sqrt{c}-\frac{288\,a^{3/2}\,b^3\,d}{\sqrt{c}}+\frac{544\,b^5\,c^{3/2}}{\sqrt{a}\,d}-\frac{528\,b^6\,c^{5/2}}{a^{3/2}\,d^2}+\frac{64\,b^7\,c^{7/2}}{a^{5/2}\,d^3}+\frac{8\,b^8\,c^{9/2}}{a^{7/2}\,d^4}-\frac{864\,b^4\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,a\,b^3\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{64\,a^2\,b^2\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,b^5\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{320\,b^5\,c\,\sqrt{b\,d}}{544\,\sqrt{a}\,b^5\,\sqrt{c}\,d-\frac{528\,b^6\,c^{3/2}}{\sqrt{a}}+\frac{200\,a^{3/2}\,b^4\,d^2}{\sqrt{c}}-\frac{288\,a^{5/2}\,b^3\,d^3}{c^{3/2}}+\frac{64\,b^7\,c^{5/2}}{a^{3/2}\,d}+\frac{8\,b^8\,c^{7/2}}{a^{5/2}\,d^2}-\frac{864\,a\,b^4\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{160\,b^6\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,b^5\,c\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,a^2\,b^3\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^3\,b^2\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}-\frac{48\,b^7\,c^3\,\sqrt{b\,d}}{\frac{8\,b^8\,c^{7/2}}{\sqrt{a}}+64\,\sqrt{a}\,b^7\,c^{5/2}\,d-528\,a^{3/2}\,b^6\,c^{3/2}\,d^2+544\,a^{5/2}\,b^5\,\sqrt{c}\,d^3+\frac{200\,a^{7/2}\,b^4\,d^4}{\sqrt{c}}-\frac{288\,a^{9/2}\,b^3\,d^5}{c^{3/2}}-\frac{48\,b^7\,c^3\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{864\,a^3\,b^4\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{160\,a\,b^6\,c^2\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,a^2\,b^5\,c\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,a^4\,b^3\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^5\,b^2\,d^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}+\frac{160\,b^6\,c^2\,\sqrt{b\,d}}{\frac{64\,b^7\,c^{5/2}}{\sqrt{a}}-528\,\sqrt{a}\,b^6\,c^{3/2}\,d+544\,a^{3/2}\,b^5\,\sqrt{c}\,d^2+\frac{200\,a^{5/2}\,b^4\,d^3}{\sqrt{c}}-\frac{288\,a^{7/2}\,b^3\,d^4}{c^{3/2}}+\frac{8\,b^8\,c^{7/2}}{a^{3/2}\,d}+\frac{160\,b^6\,c^2\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{864\,a^2\,b^4\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,a^3\,b^3\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^4\,b^2\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,a\,b^5\,c\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}}-\frac{288\,a^{3/2}\,b^2\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^{3/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{200\,\sqrt{a}\,b^4}{\sqrt{c}\,d}-\frac{288\,a^{3/2}\,b^3}{c^{3/2}}+\frac{544\,b^5\,\sqrt{c}}{\sqrt{a}\,d^2}-\frac{528\,b^6\,c^{3/2}}{a^{3/2}\,d^3}+\frac{64\,b^7\,c^{5/2}}{a^{5/2}\,d^4}+\frac{8\,b^8\,c^{7/2}}{a^{7/2}\,d^5}-\frac{864\,b^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,b^5\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d^4\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{8\,b^7\,c^{7/2}\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{7/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{8\,b^8\,c^{7/2}}{a^{7/2}}+\frac{64\,b^7\,c^{5/2}\,d}{a^{5/2}}+\frac{544\,b^5\,\sqrt{c}\,d^3}{\sqrt{a}}+\frac{200\,\sqrt{a}\,b^4\,d^4}{\sqrt{c}}-\frac{528\,b^6\,c^{3/2}\,d^2}{a^{3/2}}-\frac{288\,a^{3/2}\,b^3\,d^5}{c^{3/2}}-\frac{864\,b^4\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{368\,a\,b^3\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,b^5\,c\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^2\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{544\,b^4\,\sqrt{c}\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{a}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{544\,b^5\,\sqrt{c}}{\sqrt{a}}+\frac{200\,\sqrt{a}\,b^4\,d}{\sqrt{c}}-\frac{288\,a^{3/2}\,b^3\,d^2}{c^{3/2}}-\frac{528\,b^6\,c^{3/2}}{a^{3/2}\,d}+\frac{64\,b^7\,c^{5/2}}{a^{5/2}\,d^2}+\frac{8\,b^8\,c^{7/2}}{a^{7/2}\,d^3}-\frac{864\,b^4\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{320\,b^5\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{200\,\sqrt{a}\,b^3\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{200\,\sqrt{a}\,b^4}{\sqrt{c}}-\frac{864\,b^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{288\,a^{3/2}\,b^3\,d}{c^{3/2}}+\frac{544\,b^5\,\sqrt{c}}{\sqrt{a}\,d}-\frac{528\,b^6\,c^{3/2}}{a^{3/2}\,d^2}+\frac{64\,b^7\,c^{5/2}}{a^{5/2}\,d^3}+\frac{8\,b^8\,c^{7/2}}{a^{7/2}\,d^4}+\frac{320\,b^5\,c\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}-\frac{528\,b^5\,c^{3/2}\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{3/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{544\,b^5\,\sqrt{c}\,d}{\sqrt{a}}-\frac{528\,b^6\,c^{3/2}}{a^{3/2}}+\frac{200\,\sqrt{a}\,b^4\,d^2}{\sqrt{c}}-\frac{288\,a^{3/2}\,b^3\,d^3}{c^{3/2}}+\frac{64\,b^7\,c^{5/2}}{a^{5/2}\,d}+\frac{8\,b^8\,c^{7/2}}{a^{7/2}\,d^2}-\frac{864\,b^4\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{160\,b^6\,c^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,b^5\,c\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}+\frac{64\,b^6\,c^{5/2}\,\sqrt{b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{5/2}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{64\,b^7\,c^{5/2}}{a^{5/2}}-\frac{528\,b^6\,c^{3/2}\,d}{a^{3/2}}+\frac{544\,b^5\,\sqrt{c}\,d^2}{\sqrt{a}}+\frac{200\,\sqrt{a}\,b^4\,d^3}{\sqrt{c}}-\frac{288\,a^{3/2}\,b^3\,d^4}{c^{3/2}}+\frac{8\,b^8\,c^{7/2}}{a^{7/2}\,d}-\frac{864\,b^4\,d^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{48\,b^7\,c^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{368\,a\,b^3\,d^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{320\,b^5\,c\,d^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{160\,b^6\,c^2\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{64\,a^2\,b^2\,d^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}\right)\,\sqrt{b\,d}}{b}","Not used",1,"(c^(1/2)*log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2))) - c^(1/2)*log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2))))/a^(1/2) + (4*atanh((64*a^2*b^2*(b*d)^(1/2))/((200*a^(1/2)*b^4*c^(3/2))/d - 288*a^(3/2)*b^3*c^(1/2) + (544*b^5*c^(5/2))/(a^(1/2)*d^2) - (528*b^6*c^(7/2))/(a^(3/2)*d^3) + (64*b^7*c^(9/2))/(a^(5/2)*d^4) + (8*b^8*c^(11/2))/(a^(7/2)*d^5) + (64*a^2*b^2*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (864*b^4*c^2*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*c*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*b^5*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a*d^2*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^4*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^3*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^5*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d^4*((c + d*x)^(1/2) - c^(1/2)))) - (864*b^4*(b*d)^(1/2))/((544*b^5*c^(1/2))/a^(1/2) + (200*a^(1/2)*b^4*d)/c^(1/2) - (288*a^(3/2)*b^3*d^2)/c^(3/2) - (528*b^6*c^(3/2))/(a^(3/2)*d) + (64*b^7*c^(5/2))/(a^(5/2)*d^2) + (8*b^8*c^(7/2))/(a^(7/2)*d^3) - (864*b^4*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*b^5*c*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d^2*((c + d*x)^(1/2) - c^(1/2)))) + (368*a*b^3*(b*d)^(1/2))/(200*a^(1/2)*b^4*c^(1/2) - (288*a^(3/2)*b^3*d)/c^(1/2) + (544*b^5*c^(3/2))/(a^(1/2)*d) - (528*b^6*c^(5/2))/(a^(3/2)*d^2) + (64*b^7*c^(7/2))/(a^(5/2)*d^3) + (8*b^8*c^(9/2))/(a^(7/2)*d^4) - (864*b^4*c*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*a*b^3*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (64*a^2*b^2*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (320*b^5*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a*d*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^2*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^4*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d^3*((c + d*x)^(1/2) - c^(1/2)))) + (320*b^5*c*(b*d)^(1/2))/(544*a^(1/2)*b^5*c^(1/2)*d - (528*b^6*c^(3/2))/a^(1/2) + (200*a^(3/2)*b^4*d^2)/c^(1/2) - (288*a^(5/2)*b^3*d^3)/c^(3/2) + (64*b^7*c^(5/2))/(a^(3/2)*d) + (8*b^8*c^(7/2))/(a^(5/2)*d^2) - (864*a*b^4*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (160*b^6*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (320*b^5*c*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*a^2*b^3*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^3*b^2*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d*((c + d*x)^(1/2) - c^(1/2)))) - (48*b^7*c^3*(b*d)^(1/2))/((8*b^8*c^(7/2))/a^(1/2) + 64*a^(1/2)*b^7*c^(5/2)*d - 528*a^(3/2)*b^6*c^(3/2)*d^2 + 544*a^(5/2)*b^5*c^(1/2)*d^3 + (200*a^(7/2)*b^4*d^4)/c^(1/2) - (288*a^(9/2)*b^3*d^5)/c^(3/2) - (48*b^7*c^3*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (864*a^3*b^4*d^4*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (160*a*b^6*c^2*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*a^2*b^5*c*d^3*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*a^4*b^3*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^5*b^2*d^6*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2)))) + (160*b^6*c^2*(b*d)^(1/2))/((64*b^7*c^(5/2))/a^(1/2) - 528*a^(1/2)*b^6*c^(3/2)*d + 544*a^(3/2)*b^5*c^(1/2)*d^2 + (200*a^(5/2)*b^4*d^3)/c^(1/2) - (288*a^(7/2)*b^3*d^4)/c^(3/2) + (8*b^8*c^(7/2))/(a^(3/2)*d) + (160*b^6*c^2*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) - (864*a^2*b^4*d^3*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*a^3*b^3*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^4*b^2*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (320*a*b^5*c*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))) - (288*a^(3/2)*b^2*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(c^(3/2)*((c + d*x)^(1/2) - c^(1/2))*((200*a^(1/2)*b^4)/(c^(1/2)*d) - (288*a^(3/2)*b^3)/c^(3/2) + (544*b^5*c^(1/2))/(a^(1/2)*d^2) - (528*b^6*c^(3/2))/(a^(3/2)*d^3) + (64*b^7*c^(5/2))/(a^(5/2)*d^4) + (8*b^8*c^(7/2))/(a^(7/2)*d^5) - (864*b^4*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (320*b^5*c*((a + b*x)^(1/2) - a^(1/2)))/(a*d^2*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^3*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d^4*((c + d*x)^(1/2) - c^(1/2))))) + (8*b^7*c^(7/2)*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(a^(7/2)*((c + d*x)^(1/2) - c^(1/2))*((8*b^8*c^(7/2))/a^(7/2) + (64*b^7*c^(5/2)*d)/a^(5/2) + (544*b^5*c^(1/2)*d^3)/a^(1/2) + (200*a^(1/2)*b^4*d^4)/c^(1/2) - (528*b^6*c^(3/2)*d^2)/a^(3/2) - (288*a^(3/2)*b^3*d^5)/c^(3/2) - (864*b^4*d^4*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (368*a*b^3*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (320*b^5*c*d^3*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*d*((a + b*x)^(1/2) - a^(1/2)))/(a^3*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^2*d^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d^6*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))))) + (544*b^4*c^(1/2)*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(a^(1/2)*((c + d*x)^(1/2) - c^(1/2))*((544*b^5*c^(1/2))/a^(1/2) + (200*a^(1/2)*b^4*d)/c^(1/2) - (288*a^(3/2)*b^3*d^2)/c^(3/2) - (528*b^6*c^(3/2))/(a^(3/2)*d) + (64*b^7*c^(5/2))/(a^(5/2)*d^2) + (8*b^8*c^(7/2))/(a^(7/2)*d^3) - (864*b^4*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (320*b^5*c*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d^2*((c + d*x)^(1/2) - c^(1/2))))) + (200*a^(1/2)*b^3*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(c^(1/2)*((c + d*x)^(1/2) - c^(1/2))*((200*a^(1/2)*b^4)/c^(1/2) - (864*b^4*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (288*a^(3/2)*b^3*d)/c^(3/2) + (544*b^5*c^(1/2))/(a^(1/2)*d) - (528*b^6*c^(3/2))/(a^(3/2)*d^2) + (64*b^7*c^(5/2))/(a^(5/2)*d^3) + (8*b^8*c^(7/2))/(a^(7/2)*d^4) + (320*b^5*c*((a + b*x)^(1/2) - a^(1/2)))/(a*d*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d^2*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*d^2*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d^3*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*d*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))))) - (528*b^5*c^(3/2)*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(a^(3/2)*((c + d*x)^(1/2) - c^(1/2))*((544*b^5*c^(1/2)*d)/a^(1/2) - (528*b^6*c^(3/2))/a^(3/2) + (200*a^(1/2)*b^4*d^2)/c^(1/2) - (288*a^(3/2)*b^3*d^3)/c^(3/2) + (64*b^7*c^(5/2))/(a^(5/2)*d) + (8*b^8*c^(7/2))/(a^(7/2)*d^2) - (864*b^4*d^2*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) + (160*b^6*c^2*((a + b*x)^(1/2) - a^(1/2)))/(a^2*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*d^3*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^3*d*((c + d*x)^(1/2) - c^(1/2))) + (320*b^5*c*d*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))))) + (64*b^6*c^(5/2)*(b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(a^(5/2)*((c + d*x)^(1/2) - c^(1/2))*((64*b^7*c^(5/2))/a^(5/2) - (528*b^6*c^(3/2)*d)/a^(3/2) + (544*b^5*c^(1/2)*d^2)/a^(1/2) + (200*a^(1/2)*b^4*d^3)/c^(1/2) - (288*a^(3/2)*b^3*d^4)/c^(3/2) + (8*b^8*c^(7/2))/(a^(7/2)*d) - (864*b^4*d^3*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2)) - (48*b^7*c^3*((a + b*x)^(1/2) - a^(1/2)))/(a^3*((c + d*x)^(1/2) - c^(1/2))) + (368*a*b^3*d^4*((a + b*x)^(1/2) - a^(1/2)))/(c*((c + d*x)^(1/2) - c^(1/2))) + (320*b^5*c*d^2*((a + b*x)^(1/2) - a^(1/2)))/(a*((c + d*x)^(1/2) - c^(1/2))) + (160*b^6*c^2*d*((a + b*x)^(1/2) - a^(1/2)))/(a^2*((c + d*x)^(1/2) - c^(1/2))) + (64*a^2*b^2*d^5*((a + b*x)^(1/2) - a^(1/2)))/(c^2*((c + d*x)^(1/2) - c^(1/2))))))*(b*d)^(1/2))/b","B"
703,1,439,76,5.825980,"\text{Not used}","int((c + d*x)^(1/2)/(x^2*(a + b*x)^(1/2)),x)","\frac{\frac{\left(\frac{c\,b^2}{4}+\frac{a\,d\,b}{4}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{3/2}\,\sqrt{c}\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{b^2}{4\,a\,d}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{a^2\,d^2}{4}-\frac{3\,a\,b\,c\,d}{4}+\frac{b^2\,c^2}{4}\right)}{a^2\,c\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{b\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{\left(a\,d+b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}-\frac{d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{4\,a\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}-a^{3/2}\,\sqrt{c}\,d\right)}{2\,a^2\,c}+\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}-a^{3/2}\,\sqrt{c}\,d\right)}{2\,a^2\,c}","Not used",1,"((((b^2*c)/4 + (a*b*d)/4)*((a + b*x)^(1/2) - a^(1/2)))/(a^(3/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))) - b^2/(4*a*d) + (((a + b*x)^(1/2) - a^(1/2))^2*((a^2*d^2)/4 + (b^2*c^2)/4 - (3*a*b*c*d)/4))/(a^2*c*d*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^3/((c + d*x)^(1/2) - c^(1/2))^3 + (b*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) - ((a*d + b*c)*((a + b*x)^(1/2) - a^(1/2))^2)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^2)) - (d*((a + b*x)^(1/2) - a^(1/2)))/(4*a*((c + d*x)^(1/2) - c^(1/2))) - (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) - a^(3/2)*c^(1/2)*d))/(2*a^2*c) + (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) - a^(3/2)*c^(1/2)*d))/(2*a^2*c)","B"
704,1,901,131,20.072055,"\text{Not used}","int((c + d*x)^(1/2)/(x^3*(a + b*x)^(1/2)),x)","\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(a^{5/2}\,\sqrt{c}\,d^2-3\,\sqrt{a}\,b^2\,c^{5/2}+2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^3\,c^2}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{d^2}{4\,a\,c}-\frac{3\,d\,\left(a\,d+b\,c\right)}{16\,a^2\,c}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(a^{5/2}\,\sqrt{c}\,d^2-3\,\sqrt{a}\,b^2\,c^{5/2}+2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^3\,c^2}-\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-\frac{5\,a^2\,b^2\,d^2}{32}+\frac{a\,b^3\,c\,d}{8}+\frac{11\,b^4\,c^2}{32}\right)}{a^{5/2}\,c^{3/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{b^4}{32\,a^{3/2}\,\sqrt{c}\,d^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{a^3\,b\,d^3}{16}+\frac{3\,a^2\,b^2\,c\,d^2}{8}-\frac{9\,a\,b^3\,c^2\,d}{8}+\frac{b^4\,c^3}{16}\right)}{a^3\,c^2\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(\frac{b^4\,c}{8}-\frac{a\,b^3\,d}{8}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,c\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{5\,a^2\,b\,d^2}{16}-\frac{11\,a\,b^2\,c\,d}{16}+\frac{b^3\,c^2}{4}\right)}{a^3\,c\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(\frac{a^4\,d^4}{32}-\frac{a^3\,b\,c\,d^3}{2}+\frac{21\,a^2\,b^2\,c^2\,d^2}{32}+\frac{a\,b^3\,c^3\,d}{2}-\frac{7\,b^4\,c^4}{32}\right)}{a^{7/2}\,c^{5/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{b^2\,{\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(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{\left(2\,c\,b^2+2\,a\,d\,b\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{\sqrt{a}\,\sqrt{c}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}+\frac{d^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{32\,a^{3/2}\,\sqrt{c}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}","Not used",1,"(log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(5/2)*c^(1/2)*d^2 - 3*a^(1/2)*b^2*c^(5/2) + 2*a^(3/2)*b*c^(3/2)*d))/(8*a^3*c^2) - (((a + b*x)^(1/2) - a^(1/2))*(d^2/(4*a*c) - (3*d*(a*d + b*c))/(16*a^2*c)))/((c + d*x)^(1/2) - c^(1/2)) - (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(5/2)*c^(1/2)*d^2 - 3*a^(1/2)*b^2*c^(5/2) + 2*a^(3/2)*b*c^(3/2)*d))/(8*a^3*c^2) - ((((a + b*x)^(1/2) - a^(1/2))^2*((11*b^4*c^2)/32 - (5*a^2*b^2*d^2)/32 + (a*b^3*c*d)/8))/(a^(5/2)*c^(3/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^2) - b^4/(32*a^(3/2)*c^(1/2)*d^2) + (((a + b*x)^(1/2) - a^(1/2))^3*((b^4*c^3)/16 + (a^3*b*d^3)/16 + (3*a^2*b^2*c*d^2)/8 - (9*a*b^3*c^2*d)/8))/(a^3*c^2*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - (((b^4*c)/8 - (a*b^3*d)/8)*((a + b*x)^(1/2) - a^(1/2)))/(a^2*c*d^2*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^5*((b^3*c^2)/4 + (5*a^2*b*d^2)/16 - (11*a*b^2*c*d)/16))/(a^3*c*d*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^4*((a^4*d^4)/32 - (7*b^4*c^4)/32 + (21*a^2*b^2*c^2*d^2)/32 + (a*b^3*c^3*d)/2 - (a^3*b*c*d^3)/2))/(a^(7/2)*c^(5/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^6/((c + d*x)^(1/2) - c^(1/2))^6 + (b^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*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^4) - ((2*b^2*c + 2*a*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(a^(1/2)*c^(1/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - ((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^5)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^5)) + (d^2*((a + b*x)^(1/2) - a^(1/2))^2)/(32*a^(3/2)*c^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2)","B"
705,1,1574,191,90.997484,"\text{Not used}","int((c + d*x)^(1/2)/(x^4*(a + b*x)^(1/2)),x)","\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(\frac{5\,a^4\,b^2\,d^4}{64}+\frac{a^3\,b^3\,c\,d^3}{2}+\frac{7\,a^2\,b^4\,c^2\,d^2}{16}-\frac{23\,a\,b^5\,c^3\,d}{16}-\frac{13\,b^6\,c^4}{64}\right)}{a^4\,c^3\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{b^6}{192\,a^2\,c\,d^3}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(-\frac{a^5\,b\,d^5}{64}+\frac{7\,a^4\,b^2\,c\,d^4}{16}+\frac{37\,a^3\,b^3\,c^2\,d^3}{32}-\frac{47\,a^2\,b^4\,c^3\,d^2}{32}-\frac{3\,a\,b^5\,c^4\,d}{2}+\frac{17\,b^6\,c^5}{64}\right)}{a^{9/2}\,c^{7/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{a^2\,b^4\,d^2}{64}+\frac{3\,a\,b^5\,c\,d}{32}-\frac{5\,b^6\,c^2}{64}\right)}{a^3\,c^2\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{3\,a^5\,d^5}{64}-\frac{13\,a^4\,b\,c\,d^4}{64}-\frac{49\,a^3\,b^2\,c^2\,d^3}{64}+\frac{69\,a^2\,b^3\,c^3\,d^2}{64}+\frac{45\,a\,b^4\,c^4\,d}{64}-\frac{27\,b^5\,c^5}{64}\right)}{a^{9/2}\,c^{7/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{\left(\frac{b^6\,c}{64}-\frac{a\,b^5\,d}{64}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{5/2}\,c^{3/2}\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(-\frac{17\,a^3\,b^3\,d^3}{192}-\frac{9\,a^2\,b^4\,c\,d^2}{32}+\frac{3\,a\,b^5\,c^2\,d}{32}+\frac{73\,b^6\,c^3}{192}\right)}{a^{7/2}\,c^{5/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(-\frac{5\,a^6\,d^6}{192}+\frac{a^5\,b\,c\,d^5}{16}+a^4\,b^2\,c^2\,d^4+\frac{5\,a^3\,b^3\,c^3\,d^3}{32}-\frac{5\,a^2\,b^4\,c^4\,d^2}{2}+\frac{a\,b^5\,c^5\,d}{8}+\frac{37\,b^6\,c^6}{192}\right)}{a^5\,c^4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8\,\left(-\frac{a^4\,d^4}{64}+\frac{3\,a^3\,b\,c\,d^3}{32}+\frac{13\,a^2\,b^2\,c^2\,d^2}{64}-\frac{19\,a\,b^3\,c^3\,d}{32}+\frac{15\,b^4\,c^4}{64}\right)}{a^4\,c^3\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}+\frac{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(3\,a^2\,d^2+9\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^3\,d^3+9\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{a^{3/2}\,c^{3/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}-\frac{\left(3\,a\,d+3\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{\left(3\,c\,b^3+3\,a\,d\,b^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{\sqrt{a}\,\sqrt{c}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(3\,a^2\,b\,d^2+9\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}{a\,c\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}+\frac{\left(\frac{d^3}{32\,a^{3/2}\,c^{3/2}}-\frac{d^2\,\left(a\,d+b\,c\right)}{32\,a^{5/2}\,c^{3/2}}\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{d\,\left(3\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2\right)}{32\,a^3\,c^2}-\frac{4\,a\,d^7-3\,b\,c\,d^6}{64\,a^2\,c^2\,d^4}+\frac{4\,\left(\frac{d^3}{16\,a^{3/2}\,c^{3/2}}-\frac{d^2\,\left(a\,d+b\,c\right)}{16\,a^{5/2}\,c^{3/2}}\right)\,\left(a\,d+b\,c\right)}{\sqrt{a}\,\sqrt{c}\,d}\right)}{\sqrt{c+d\,x}-\sqrt{c}}+\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(a^{7/2}\,\sqrt{c}\,d^3-5\,\sqrt{a}\,b^3\,c^{7/2}+3\,a^{3/2}\,b^2\,c^{5/2}\,d+a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^4\,c^3}-\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(a^{7/2}\,\sqrt{c}\,d^3-5\,\sqrt{a}\,b^3\,c^{7/2}+3\,a^{3/2}\,b^2\,c^{5/2}\,d+a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^4\,c^3}-\frac{d^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{192\,a^2\,c\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))^4*((5*a^4*b^2*d^4)/64 - (13*b^6*c^4)/64 + (a^3*b^3*c*d^3)/2 + (7*a^2*b^4*c^2*d^2)/16 - (23*a*b^5*c^3*d)/16))/(a^4*c^3*d^3*((c + d*x)^(1/2) - c^(1/2))^4) - b^6/(192*a^2*c*d^3) - (((a + b*x)^(1/2) - a^(1/2))^5*((17*b^6*c^5)/64 - (a^5*b*d^5)/64 + (7*a^4*b^2*c*d^4)/16 - (47*a^2*b^4*c^3*d^2)/32 + (37*a^3*b^3*c^2*d^3)/32 - (3*a*b^5*c^4*d)/2))/(a^(9/2)*c^(7/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^2*((a^2*b^4*d^2)/64 - (5*b^6*c^2)/64 + (3*a*b^5*c*d)/32))/(a^3*c^2*d^3*((c + d*x)^(1/2) - c^(1/2))^2) + (((a + b*x)^(1/2) - a^(1/2))^7*((3*a^5*d^5)/64 - (27*b^5*c^5)/64 + (69*a^2*b^3*c^3*d^2)/64 - (49*a^3*b^2*c^2*d^3)/64 + (45*a*b^4*c^4*d)/64 - (13*a^4*b*c*d^4)/64))/(a^(9/2)*c^(7/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^7) - (((b^6*c)/64 - (a*b^5*d)/64)*((a + b*x)^(1/2) - a^(1/2)))/(a^(5/2)*c^(3/2)*d^3*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^3*((73*b^6*c^3)/192 - (17*a^3*b^3*d^3)/192 - (9*a^2*b^4*c*d^2)/32 + (3*a*b^5*c^2*d)/32))/(a^(7/2)*c^(5/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^6*((37*b^6*c^6)/192 - (5*a^6*d^6)/192 - (5*a^2*b^4*c^4*d^2)/2 + (5*a^3*b^3*c^3*d^3)/32 + a^4*b^2*c^2*d^4 + (a*b^5*c^5*d)/8 + (a^5*b*c*d^5)/16))/(a^5*c^4*d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (((a + b*x)^(1/2) - a^(1/2))^8*((15*b^4*c^4)/64 - (a^4*d^4)/64 + (13*a^2*b^2*c^2*d^2)/64 - (19*a*b^3*c^3*d)/32 + (3*a^3*b*c*d^3)/32))/(a^4*c^3*d*((c + d*x)^(1/2) - c^(1/2))^8))/(((a + b*x)^(1/2) - a^(1/2))^9/((c + d*x)^(1/2) - c^(1/2))^9 + (b^3*((a + b*x)^(1/2) - a^(1/2))^3)/(d^3*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^7*(3*a^2*d^2 + 3*b^2*c^2 + 9*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^6*(a^3*d^3 + b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2))/(a^(3/2)*c^(3/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^6) - ((3*a*d + 3*b*c)*((a + b*x)^(1/2) - a^(1/2))^8)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^8) - ((3*b^3*c + 3*a*b^2*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(a^(1/2)*c^(1/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^4) + (((a + b*x)^(1/2) - a^(1/2))^5*(3*b^3*c^2 + 3*a^2*b*d^2 + 9*a*b^2*c*d))/(a*c*d^3*((c + d*x)^(1/2) - c^(1/2))^5)) + ((d^3/(32*a^(3/2)*c^(3/2)) - (d^2*(a*d + b*c))/(32*a^(5/2)*c^(3/2)))*((a + b*x)^(1/2) - a^(1/2))^2)/((c + d*x)^(1/2) - c^(1/2))^2 + (((a + b*x)^(1/2) - a^(1/2))*((d*(3*a^2*d^2 + 3*b^2*c^2 + 8*a*b*c*d))/(32*a^3*c^2) - (4*a*d^7 - 3*b*c*d^6)/(64*a^2*c^2*d^4) + (4*(d^3/(16*a^(3/2)*c^(3/2)) - (d^2*(a*d + b*c))/(16*a^(5/2)*c^(3/2)))*(a*d + b*c))/(a^(1/2)*c^(1/2)*d)))/((c + d*x)^(1/2) - c^(1/2)) + (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(7/2)*c^(1/2)*d^3 - 5*a^(1/2)*b^3*c^(7/2) + 3*a^(3/2)*b^2*c^(5/2)*d + a^(5/2)*b*c^(3/2)*d^2))/(16*a^4*c^3) - (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(7/2)*c^(1/2)*d^3 - 5*a^(1/2)*b^3*c^(7/2) + 3*a^(3/2)*b^2*c^(5/2)*d + a^(5/2)*b*c^(3/2)*d^2))/(16*a^4*c^3) - (d^3*((a + b*x)^(1/2) - a^(1/2))^3)/(192*a^2*c*((c + d*x)^(1/2) - c^(1/2))^3)","B"
706,0,-1,254,0.000000,"\text{Not used}","int((x^2*(c + d*x)^(3/2))/(a + b*x)^(1/2),x)","\int \frac{x^2\,{\left(c+d\,x\right)}^{3/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x^2*(c + d*x)^(3/2))/(a + b*x)^(1/2), x)","F"
707,0,-1,171,0.000000,"\text{Not used}","int((x*(c + d*x)^(3/2))/(a + b*x)^(1/2),x)","\int \frac{x\,{\left(c+d\,x\right)}^{3/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x*(c + d*x)^(3/2))/(a + b*x)^(1/2), x)","F"
708,0,-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"
709,0,-1,116,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x*(a + b*x)^(1/2)), x)","F"
710,0,-1,119,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^2*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^2\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^2*(a + b*x)^(1/2)), x)","F"
711,0,-1,119,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^3*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^3\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^3*(a + b*x)^(1/2)), x)","F"
712,0,-1,180,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^4*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^4\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^4*(a + b*x)^(1/2)), x)","F"
713,0,-1,266,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^5*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^5\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^5*(a + b*x)^(1/2)), x)","F"
714,0,-1,314,0.000000,"\text{Not used}","int((x^2*(c + d*x)^(5/2))/(a + b*x)^(1/2),x)","\int \frac{x^2\,{\left(c+d\,x\right)}^{5/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x^2*(c + d*x)^(5/2))/(a + b*x)^(1/2), x)","F"
715,0,-1,217,0.000000,"\text{Not used}","int((x*(c + d*x)^(5/2))/(a + b*x)^(1/2),x)","\int \frac{x\,{\left(c+d\,x\right)}^{5/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((x*(c + d*x)^(5/2))/(a + b*x)^(1/2), x)","F"
716,0,-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"
717,0,-1,171,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x*(a + b*x)^(1/2)), x)","F"
718,0,-1,160,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^2*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^2\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^2*(a + b*x)^(1/2)), x)","F"
719,0,-1,177,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^3*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^3\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^3*(a + b*x)^(1/2)), x)","F"
720,0,-1,157,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^4*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^4\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^4*(a + b*x)^(1/2)), x)","F"
721,0,-1,229,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^5*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^5\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^5*(a + b*x)^(1/2)), x)","F"
722,0,-1,346,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^6*(a + b*x)^(1/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^6\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^6*(a + b*x)^(1/2)), x)","F"
723,0,-1,118,0.000000,"\text{Not used}","int((x^4*(x + 1)^(3/2))/(1 - x)^(1/2),x)","\int \frac{x^4\,{\left(x+1\right)}^{3/2}}{\sqrt{1-x}} \,d x","Not used",1,"int((x^4*(x + 1)^(3/2))/(1 - x)^(1/2), x)","F"
724,0,-1,110,0.000000,"\text{Not used}","int((x^3*(x + 1)^(3/2))/(1 - x)^(1/2),x)","\int \frac{x^3\,{\left(x+1\right)}^{3/2}}{\sqrt{1-x}} \,d x","Not used",1,"int((x^3*(x + 1)^(3/2))/(1 - x)^(1/2), x)","F"
725,0,-1,88,0.000000,"\text{Not used}","int((x^2*(x + 1)^(3/2))/(1 - x)^(1/2),x)","\int \frac{x^2\,{\left(x+1\right)}^{3/2}}{\sqrt{1-x}} \,d x","Not used",1,"int((x^2*(x + 1)^(3/2))/(1 - x)^(1/2), x)","F"
726,0,-1,61,0.000000,"\text{Not used}","int((x*(x + 1)^(3/2))/(1 - x)^(1/2),x)","\int \frac{x\,{\left(x+1\right)}^{3/2}}{\sqrt{1-x}} \,d x","Not used",1,"int((x*(x + 1)^(3/2))/(1 - x)^(1/2), x)","F"
727,0,-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"
728,0,-1,43,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(x*(1 - x)^(1/2)),x)","\int \frac{{\left(x+1\right)}^{3/2}}{x\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(3/2)/(x*(1 - x)^(1/2)), x)","F"
729,0,-1,44,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(x^2*(1 - x)^(1/2)),x)","\int \frac{{\left(x+1\right)}^{3/2}}{x^2\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(3/2)/(x^2*(1 - x)^(1/2)), x)","F"
730,0,-1,69,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(x^3*(1 - x)^(1/2)),x)","\int \frac{{\left(x+1\right)}^{3/2}}{x^3\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(3/2)/(x^3*(1 - x)^(1/2)), x)","F"
731,0,-1,88,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(x^4*(1 - x)^(1/2)),x)","\int \frac{{\left(x+1\right)}^{3/2}}{x^4\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(3/2)/(x^4*(1 - x)^(1/2)), x)","F"
732,0,-1,115,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(x^5*(1 - x)^(1/2)),x)","\int \frac{{\left(x+1\right)}^{3/2}}{x^5\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(3/2)/(x^5*(1 - x)^(1/2)), x)","F"
733,1,900,169,41.732352,"\text{Not used}","int(x^3/((a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","-\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{85\,a^3\,b\,d^3}{12}+\frac{17\,a^2\,b^2\,c\,d^2}{4}+\frac{17\,a\,b^3\,c^2\,d}{4}+\frac{85\,b^4\,c^3}{12}\right)}{d^8\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{5\,a^3\,b^2\,d^3}{4}+\frac{3\,a^2\,b^3\,c\,d^2}{4}+\frac{3\,a\,b^4\,c^2\,d}{4}+\frac{5\,b^5\,c^3}{4}\right)}{d^9\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{33\,a^3\,d^3}{2}+\frac{327\,a^2\,b\,c\,d^2}{2}+\frac{327\,a\,b^2\,c^2\,d}{2}+\frac{33\,b^3\,c^3}{2}\right)}{d^7\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{64\,a^{3/2}\,c^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}\,\left(\frac{5\,a^3\,d^3}{4}+\frac{3\,a^2\,b\,c\,d^2}{4}+\frac{3\,a\,b^2\,c^2\,d}{4}+\frac{5\,b^3\,c^3}{4}\right)}{b^3\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{11}}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9\,\left(\frac{85\,a^3\,d^3}{12}+\frac{17\,a^2\,b\,c\,d^2}{4}+\frac{17\,a\,b^2\,c^2\,d}{4}+\frac{85\,b^3\,c^3}{12}\right)}{b^2\,d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{33\,a^3\,d^3}{2}+\frac{327\,a^2\,b\,c\,d^2}{2}+\frac{327\,a\,b^2\,c^2\,d}{2}+\frac{33\,b^3\,c^3}{2}\right)}{b\,d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}+\frac{\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(128\,a^2\,d^2+\frac{896\,a\,b\,c\,d}{3}+128\,b^2\,c^2\right)}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{64\,a^{3/2}\,b^2\,c^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{12}}+\frac{b^6}{d^6}-\frac{6\,b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{15\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{20\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{15\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{6\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}}-\frac{\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)\,\left(5\,a^2\,d^2-2\,a\,b\,c\,d+5\,b^2\,c^2\right)}{4\,b^{7/2}\,d^{7/2}}","Not used",1,"- ((((a + b*x)^(1/2) - a^(1/2))^3*((85*b^4*c^3)/12 + (85*a^3*b*d^3)/12 + (17*a^2*b^2*c*d^2)/4 + (17*a*b^3*c^2*d)/4))/(d^8*((c + d*x)^(1/2) - c^(1/2))^3) - (((a + b*x)^(1/2) - a^(1/2))*((5*b^5*c^3)/4 + (5*a^3*b^2*d^3)/4 + (3*a^2*b^3*c*d^2)/4 + (3*a*b^4*c^2*d)/4))/(d^9*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^5*((33*a^3*d^3)/2 + (33*b^3*c^3)/2 + (327*a*b^2*c^2*d)/2 + (327*a^2*b*c*d^2)/2))/(d^7*((c + d*x)^(1/2) - c^(1/2))^5) + (64*a^(3/2)*c^(3/2)*((a + b*x)^(1/2) - a^(1/2))^8)/(d^4*((c + d*x)^(1/2) - c^(1/2))^8) - (((a + b*x)^(1/2) - a^(1/2))^11*((5*a^3*d^3)/4 + (5*b^3*c^3)/4 + (3*a*b^2*c^2*d)/4 + (3*a^2*b*c*d^2)/4))/(b^3*d^4*((c + d*x)^(1/2) - c^(1/2))^11) + (((a + b*x)^(1/2) - a^(1/2))^9*((85*a^3*d^3)/12 + (85*b^3*c^3)/12 + (17*a*b^2*c^2*d)/4 + (17*a^2*b*c*d^2)/4))/(b^2*d^5*((c + d*x)^(1/2) - c^(1/2))^9) - (((a + b*x)^(1/2) - a^(1/2))^7*((33*a^3*d^3)/2 + (33*b^3*c^3)/2 + (327*a*b^2*c^2*d)/2 + (327*a^2*b*c*d^2)/2))/(b*d^6*((c + d*x)^(1/2) - c^(1/2))^7) + (a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6*(128*a^2*d^2 + 128*b^2*c^2 + (896*a*b*c*d)/3))/(d^6*((c + d*x)^(1/2) - c^(1/2))^6) + (64*a^(3/2)*b^2*c^(3/2)*((a + b*x)^(1/2) - a^(1/2))^4)/(d^6*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^12/((c + d*x)^(1/2) - c^(1/2))^12 + b^6/d^6 - (6*b^5*((a + b*x)^(1/2) - a^(1/2))^2)/(d^5*((c + d*x)^(1/2) - c^(1/2))^2) + (15*b^4*((a + b*x)^(1/2) - a^(1/2))^4)/(d^4*((c + d*x)^(1/2) - c^(1/2))^4) - (20*b^3*((a + b*x)^(1/2) - a^(1/2))^6)/(d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (15*b^2*((a + b*x)^(1/2) - a^(1/2))^8)/(d^2*((c + d*x)^(1/2) - c^(1/2))^8) - (6*b*((a + b*x)^(1/2) - a^(1/2))^10)/(d*((c + d*x)^(1/2) - c^(1/2))^10)) - (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)*(5*a^2*d^2 + 5*b^2*c^2 - 2*a*b*c*d))/(4*b^(7/2)*d^(7/2))","B"
734,1,508,127,16.378455,"\text{Not used}","int(x^2/((a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\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(3\,a^2\,d^2+2\,a\,b\,c\,d+3\,b^2\,c^2\right)}{2\,b^{5/2}\,d^{5/2}}-\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{3\,a^2\,b\,d^2}{2}+a\,b^2\,c\,d+\frac{3\,b^3\,c^2}{2}\right)}{d^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{11\,a^2\,d^2}{2}+25\,a\,b\,c\,d+\frac{11\,b^2\,c^2}{2}\right)}{d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{3\,a^2\,d^2}{2}+a\,b\,c\,d+\frac{3\,b^2\,c^2}{2}\right)}{b^2\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{11\,a^2\,d^2}{2}+25\,a\,b\,c\,d+\frac{11\,b^2\,c^2}{2}\right)}{b\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{\sqrt{a}\,\sqrt{c}\,\left(32\,a\,d+32\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}+\frac{b^4}{d^4}-\frac{4\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{6\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{4\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}}","Not used",1,"(atanh((d^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((c + d*x)^(1/2) - c^(1/2))))*(3*a^2*d^2 + 3*b^2*c^2 + 2*a*b*c*d))/(2*b^(5/2)*d^(5/2)) - ((((a + b*x)^(1/2) - a^(1/2))*((3*b^3*c^2)/2 + (3*a^2*b*d^2)/2 + a*b^2*c*d))/(d^6*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^3*((11*a^2*d^2)/2 + (11*b^2*c^2)/2 + 25*a*b*c*d))/(d^5*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^7*((3*a^2*d^2)/2 + (3*b^2*c^2)/2 + a*b*c*d))/(b^2*d^3*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^5*((11*a^2*d^2)/2 + (11*b^2*c^2)/2 + 25*a*b*c*d))/(b*d^4*((c + d*x)^(1/2) - c^(1/2))^5) + (a^(1/2)*c^(1/2)*(32*a*d + 32*b*c)*((a + b*x)^(1/2) - a^(1/2))^4)/(d^4*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^8/((c + d*x)^(1/2) - c^(1/2))^8 + b^4/d^4 - (4*b^3*((a + b*x)^(1/2) - a^(1/2))^2)/(d^3*((c + d*x)^(1/2) - c^(1/2))^2) + (6*b^2*((a + b*x)^(1/2) - a^(1/2))^4)/(d^2*((c + d*x)^(1/2) - c^(1/2))^4) - (4*b*((a + b*x)^(1/2) - a^(1/2))^6)/(d*((c + d*x)^(1/2) - c^(1/2))^6))","B"
735,1,259,75,4.233255,"\text{Not used}","int(x/((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)}{d^3\,\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^2\,{\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^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)}{b^{3/2}\,d^{3/2}}","Not used",1,"(((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2)))/(d^3*((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^2*((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^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^(3/2)*d^(3/2))","B"
736,1,45,42,0.921039,"\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"
737,1,121,42,2.694968,"\text{Not used}","int(1/(x*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)-\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{a}\,\sqrt{c}}","Not used",1,"(log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2))) - log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2))))/(a^(1/2)*c^(1/2))","B"
738,1,443,78,5.838345,"\text{Not used}","int(1/(x^2*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\frac{\left(\frac{c\,b^2}{4}+\frac{a\,d\,b}{4}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{3/2}\,c^{3/2}\,d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{b^2}{4\,a\,c\,d}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{a^2\,d^2}{4}-\frac{3\,a\,b\,c\,d}{4}+\frac{b^2\,c^2}{4}\right)}{a^2\,c^2\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{b\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{\left(a\,d+b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}-\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}+a^{3/2}\,\sqrt{c}\,d\right)}{2\,a^2\,c^2}+\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(\sqrt{a}\,b\,c^{3/2}+a^{3/2}\,\sqrt{c}\,d\right)}{2\,a^2\,c^2}-\frac{d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{4\,a\,c\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}","Not used",1,"((((b^2*c)/4 + (a*b*d)/4)*((a + b*x)^(1/2) - a^(1/2)))/(a^(3/2)*c^(3/2)*d*((c + d*x)^(1/2) - c^(1/2))) - b^2/(4*a*c*d) + (((a + b*x)^(1/2) - a^(1/2))^2*((a^2*d^2)/4 + (b^2*c^2)/4 - (3*a*b*c*d)/4))/(a^2*c^2*d*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^3/((c + d*x)^(1/2) - c^(1/2))^3 + (b*((a + b*x)^(1/2) - a^(1/2)))/(d*((c + d*x)^(1/2) - c^(1/2))) - ((a*d + b*c)*((a + b*x)^(1/2) - a^(1/2))^2)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^2)) - (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) + a^(3/2)*c^(1/2)*d))/(2*a^2*c^2) + (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(a^(1/2)*b*c^(3/2) + a^(3/2)*c^(1/2)*d))/(2*a^2*c^2) - (d*((a + b*x)^(1/2) - a^(1/2)))/(4*a*c*((c + d*x)^(1/2) - c^(1/2)))","B"
739,1,900,137,20.549115,"\text{Not used}","int(1/(x^3*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(3\,\sqrt{a}\,b^2\,c^{5/2}+3\,a^{5/2}\,\sqrt{c}\,d^2+2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^3\,c^3}-\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{11\,a^2\,b^2\,d^2}{32}+\frac{5\,a\,b^3\,c\,d}{8}+\frac{11\,b^4\,c^2}{32}\right)}{a^{5/2}\,c^{5/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{b^4}{32\,a^{3/2}\,c^{3/2}\,d^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{a^3\,b\,d^3}{16}-\frac{9\,a^2\,b^2\,c\,d^2}{8}-\frac{9\,a\,b^3\,c^2\,d}{8}+\frac{b^4\,c^3}{16}\right)}{a^3\,c^3\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(\frac{c\,b^4}{8}+\frac{a\,d\,b^3}{8}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^2\,c^2\,d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{a^3\,d^3}{4}-\frac{7\,a^2\,b\,c\,d^2}{16}-\frac{7\,a\,b^2\,c^2\,d}{16}+\frac{b^3\,c^3}{4}\right)}{a^3\,c^3\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(-\frac{7\,a^4\,d^4}{32}+\frac{a^3\,b\,c\,d^3}{4}+\frac{45\,a^2\,b^2\,c^2\,d^2}{32}+\frac{a\,b^3\,c^3\,d}{4}-\frac{7\,b^4\,c^4}{32}\right)}{a^{7/2}\,c^{7/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{b^2\,{\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(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{\left(2\,c\,b^2+2\,a\,d\,b\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{\sqrt{a}\,\sqrt{c}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}-\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(3\,\sqrt{a}\,b^2\,c^{5/2}+3\,a^{5/2}\,\sqrt{c}\,d^2+2\,a^{3/2}\,b\,c^{3/2}\,d\right)}{8\,a^3\,c^3}+\frac{d^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{32\,a^{3/2}\,c^{3/2}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{3\,d\,\left(a\,d+b\,c\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{16\,a^2\,c^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}","Not used",1,"(log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(3*a^(1/2)*b^2*c^(5/2) + 3*a^(5/2)*c^(1/2)*d^2 + 2*a^(3/2)*b*c^(3/2)*d))/(8*a^3*c^3) - ((((a + b*x)^(1/2) - a^(1/2))^2*((11*b^4*c^2)/32 + (11*a^2*b^2*d^2)/32 + (5*a*b^3*c*d)/8))/(a^(5/2)*c^(5/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^2) - b^4/(32*a^(3/2)*c^(3/2)*d^2) + (((a + b*x)^(1/2) - a^(1/2))^3*((b^4*c^3)/16 + (a^3*b*d^3)/16 - (9*a^2*b^2*c*d^2)/8 - (9*a*b^3*c^2*d)/8))/(a^3*c^3*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - (((b^4*c)/8 + (a*b^3*d)/8)*((a + b*x)^(1/2) - a^(1/2)))/(a^2*c^2*d^2*((c + d*x)^(1/2) - c^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^5*((a^3*d^3)/4 + (b^3*c^3)/4 - (7*a*b^2*c^2*d)/16 - (7*a^2*b*c*d^2)/16))/(a^3*c^3*d*((c + d*x)^(1/2) - c^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^4*((45*a^2*b^2*c^2*d^2)/32 - (7*b^4*c^4)/32 - (7*a^4*d^4)/32 + (a*b^3*c^3*d)/4 + (a^3*b*c*d^3)/4))/(a^(7/2)*c^(7/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^4))/(((a + b*x)^(1/2) - a^(1/2))^6/((c + d*x)^(1/2) - c^(1/2))^6 + (b^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*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^4) - ((2*b^2*c + 2*a*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(a^(1/2)*c^(1/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^3) - ((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^5)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^5)) - (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(3*a^(1/2)*b^2*c^(5/2) + 3*a^(5/2)*c^(1/2)*d^2 + 2*a^(3/2)*b*c^(3/2)*d))/(8*a^3*c^3) + (d^2*((a + b*x)^(1/2) - a^(1/2))^2)/(32*a^(3/2)*c^(3/2)*((c + d*x)^(1/2) - c^(1/2))^2) + (3*d*(a*d + b*c)*((a + b*x)^(1/2) - a^(1/2)))/(16*a^2*c^2*((c + d*x)^(1/2) - c^(1/2)))","B"
740,1,1518,198,90.681928,"\text{Not used}","int(1/(x^4*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{7\,b\,d^2}{64\,a^2\,c^2}-\frac{d\,{\left(a\,d+b\,c\right)}^2}{4\,a^3\,c^3}+\frac{d\,\left(3\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2\right)}{32\,a^3\,c^3}\right)}{\sqrt{c+d\,x}-\sqrt{c}}-\frac{\frac{b^6}{192\,a^2\,c^2\,d^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{5\,a^2\,b^4\,d^2}{64}+\frac{5\,b^6\,c^2}{64}\right)}{a^3\,c^3\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(\frac{13\,a^4\,b^2\,d^4}{64}+\frac{55\,a^3\,b^3\,c\,d^3}{32}+\frac{57\,a^2\,b^4\,c^2\,d^2}{32}+\frac{55\,a\,b^5\,c^3\,d}{32}+\frac{13\,b^6\,c^4}{64}\right)}{a^4\,c^4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(-\frac{17\,a^5\,b\,d^5}{64}+\frac{39\,a^4\,b^2\,c\,d^4}{32}+\frac{25\,a^3\,b^3\,c^2\,d^3}{8}+\frac{25\,a^2\,b^4\,c^3\,d^2}{8}+\frac{39\,a\,b^5\,c^4\,d}{32}-\frac{17\,b^6\,c^5}{64}\right)}{a^{9/2}\,c^{9/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(-\frac{27\,a^5\,d^5}{64}+\frac{15\,a^4\,b\,c\,d^4}{64}+\frac{97\,a^3\,b^2\,c^2\,d^3}{64}+\frac{97\,a^2\,b^3\,c^3\,d^2}{64}+\frac{15\,a\,b^4\,c^4\,d}{64}-\frac{27\,b^5\,c^5}{64}\right)}{a^{9/2}\,c^{9/2}\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}+\frac{\left(\frac{c\,b^6}{64}+\frac{a\,d\,b^5}{64}\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{a^{5/2}\,c^{5/2}\,d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{73\,a^3\,b^3\,d^3}{192}+\frac{9\,a^2\,b^4\,c\,d^2}{16}+\frac{9\,a\,b^5\,c^2\,d}{16}+\frac{73\,b^6\,c^3}{192}\right)}{a^{7/2}\,c^{7/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(\frac{37\,a^6\,d^6}{192}+\frac{11\,a^5\,b\,c\,d^5}{32}-\frac{71\,a^4\,b^2\,c^2\,d^4}{32}-\frac{49\,a^3\,b^3\,c^3\,d^3}{16}-\frac{71\,a^2\,b^4\,c^4\,d^2}{32}+\frac{11\,a\,b^5\,c^5\,d}{32}+\frac{37\,b^6\,c^6}{192}\right)}{a^5\,c^5\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8\,\left(-\frac{15\,a^4\,d^4}{64}+\frac{11\,a^3\,b\,c\,d^3}{32}+\frac{15\,a^2\,b^2\,c^2\,d^2}{64}+\frac{11\,a\,b^3\,c^3\,d}{32}-\frac{15\,b^4\,c^4}{64}\right)}{a^4\,c^4\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9}+\frac{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(3\,a^2\,d^2+9\,a\,b\,c\,d+3\,b^2\,c^2\right)}{a\,c\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^3\,d^3+9\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{a^{3/2}\,c^{3/2}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}-\frac{\left(3\,a\,d+3\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{\sqrt{a}\,\sqrt{c}\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}-\frac{\left(3\,c\,b^3+3\,a\,d\,b^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{\sqrt{a}\,\sqrt{c}\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(3\,a^2\,b\,d^2+9\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}{a\,c\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5}}-\frac{\ln\left(\frac{\left(\sqrt{c}\,\sqrt{a+b\,x}-\sqrt{a}\,\sqrt{c+d\,x}\right)\,\left(b\,\sqrt{c}-\frac{\sqrt{a}\,d\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(5\,\sqrt{a}\,b^3\,c^{7/2}+5\,a^{7/2}\,\sqrt{c}\,d^3+3\,a^{3/2}\,b^2\,c^{5/2}\,d+3\,a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^4\,c^4}+\frac{\ln\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{c+d\,x}-\sqrt{c}}\right)\,\left(5\,\sqrt{a}\,b^3\,c^{7/2}+5\,a^{7/2}\,\sqrt{c}\,d^3+3\,a^{3/2}\,b^2\,c^{5/2}\,d+3\,a^{5/2}\,b\,c^{3/2}\,d^2\right)}{16\,a^4\,c^4}-\frac{d^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{192\,a^2\,c^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{d^2\,\left(a\,d+b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{32\,a^{5/2}\,c^{5/2}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}","Not used",1,"(((a + b*x)^(1/2) - a^(1/2))*((7*b*d^2)/(64*a^2*c^2) - (d*(a*d + b*c)^2)/(4*a^3*c^3) + (d*(3*a^2*d^2 + 3*b^2*c^2 + 8*a*b*c*d))/(32*a^3*c^3)))/((c + d*x)^(1/2) - c^(1/2)) - (b^6/(192*a^2*c^2*d^3) + (((a + b*x)^(1/2) - a^(1/2))^2*((5*b^6*c^2)/64 + (5*a^2*b^4*d^2)/64))/(a^3*c^3*d^3*((c + d*x)^(1/2) - c^(1/2))^2) + (((a + b*x)^(1/2) - a^(1/2))^4*((13*b^6*c^4)/64 + (13*a^4*b^2*d^4)/64 + (55*a^3*b^3*c*d^3)/32 + (57*a^2*b^4*c^2*d^2)/32 + (55*a*b^5*c^3*d)/32))/(a^4*c^4*d^3*((c + d*x)^(1/2) - c^(1/2))^4) - (((a + b*x)^(1/2) - a^(1/2))^5*((39*a^4*b^2*c*d^4)/32 - (17*a^5*b*d^5)/64 - (17*b^6*c^5)/64 + (25*a^2*b^4*c^3*d^2)/8 + (25*a^3*b^3*c^2*d^3)/8 + (39*a*b^5*c^4*d)/32))/(a^(9/2)*c^(9/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^5) - (((a + b*x)^(1/2) - a^(1/2))^7*((97*a^2*b^3*c^3*d^2)/64 - (27*b^5*c^5)/64 - (27*a^5*d^5)/64 + (97*a^3*b^2*c^2*d^3)/64 + (15*a*b^4*c^4*d)/64 + (15*a^4*b*c*d^4)/64))/(a^(9/2)*c^(9/2)*d^2*((c + d*x)^(1/2) - c^(1/2))^7) + (((b^6*c)/64 + (a*b^5*d)/64)*((a + b*x)^(1/2) - a^(1/2)))/(a^(5/2)*c^(5/2)*d^3*((c + d*x)^(1/2) - c^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^3*((73*b^6*c^3)/192 + (73*a^3*b^3*d^3)/192 + (9*a^2*b^4*c*d^2)/16 + (9*a*b^5*c^2*d)/16))/(a^(7/2)*c^(7/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^3) - (((a + b*x)^(1/2) - a^(1/2))^6*((37*a^6*d^6)/192 + (37*b^6*c^6)/192 - (71*a^2*b^4*c^4*d^2)/32 - (49*a^3*b^3*c^3*d^3)/16 - (71*a^4*b^2*c^2*d^4)/32 + (11*a*b^5*c^5*d)/32 + (11*a^5*b*c*d^5)/32))/(a^5*c^5*d^3*((c + d*x)^(1/2) - c^(1/2))^6) + (((a + b*x)^(1/2) - a^(1/2))^8*((15*a^2*b^2*c^2*d^2)/64 - (15*b^4*c^4)/64 - (15*a^4*d^4)/64 + (11*a*b^3*c^3*d)/32 + (11*a^3*b*c*d^3)/32))/(a^4*c^4*d*((c + d*x)^(1/2) - c^(1/2))^8))/(((a + b*x)^(1/2) - a^(1/2))^9/((c + d*x)^(1/2) - c^(1/2))^9 + (b^3*((a + b*x)^(1/2) - a^(1/2))^3)/(d^3*((c + d*x)^(1/2) - c^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^7*(3*a^2*d^2 + 3*b^2*c^2 + 9*a*b*c*d))/(a*c*d^2*((c + d*x)^(1/2) - c^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^6*(a^3*d^3 + b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2))/(a^(3/2)*c^(3/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^6) - ((3*a*d + 3*b*c)*((a + b*x)^(1/2) - a^(1/2))^8)/(a^(1/2)*c^(1/2)*d*((c + d*x)^(1/2) - c^(1/2))^8) - ((3*b^3*c + 3*a*b^2*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(a^(1/2)*c^(1/2)*d^3*((c + d*x)^(1/2) - c^(1/2))^4) + (((a + b*x)^(1/2) - a^(1/2))^5*(3*b^3*c^2 + 3*a^2*b*d^2 + 9*a*b^2*c*d))/(a*c*d^3*((c + d*x)^(1/2) - c^(1/2))^5)) - (log(((c^(1/2)*(a + b*x)^(1/2) - a^(1/2)*(c + d*x)^(1/2))*(b*c^(1/2) - (a^(1/2)*d*((a + b*x)^(1/2) - a^(1/2)))/((c + d*x)^(1/2) - c^(1/2))))/((c + d*x)^(1/2) - c^(1/2)))*(5*a^(1/2)*b^3*c^(7/2) + 5*a^(7/2)*c^(1/2)*d^3 + 3*a^(3/2)*b^2*c^(5/2)*d + 3*a^(5/2)*b*c^(3/2)*d^2))/(16*a^4*c^4) + (log(((a + b*x)^(1/2) - a^(1/2))/((c + d*x)^(1/2) - c^(1/2)))*(5*a^(1/2)*b^3*c^(7/2) + 5*a^(7/2)*c^(1/2)*d^3 + 3*a^(3/2)*b^2*c^(5/2)*d + 3*a^(5/2)*b*c^(3/2)*d^2))/(16*a^4*c^4) - (d^3*((a + b*x)^(1/2) - a^(1/2))^3)/(192*a^2*c^2*((c + d*x)^(1/2) - c^(1/2))^3) - (d^2*(a*d + b*c)*((a + b*x)^(1/2) - a^(1/2))^2)/(32*a^(5/2)*c^(5/2)*((c + d*x)^(1/2) - c^(1/2))^2)","B"
741,0,-1,175,0.000000,"\text{Not used}","int(x^3/((a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{x^3}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^3/((a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
742,0,-1,112,0.000000,"\text{Not used}","int(x^2/((a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{x^2}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^2/((a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
743,0,-1,77,0.000000,"\text{Not used}","int(x/((a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{x}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(x/((a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
744,1,26,30,1.314882,"\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"
745,0,-1,77,0.000000,"\text{Not used}","int(1/(x*(a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{x\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
746,0,-1,124,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{x^2\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
747,0,-1,194,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{x^3\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
748,0,-1,258,0.000000,"\text{Not used}","int(x^4/((a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\int \frac{x^4}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^4/((a + b*x)^(1/2)*(c + d*x)^(5/2)), x)","F"
749,0,-1,174,0.000000,"\text{Not used}","int(x^3/((a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\int \frac{x^3}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^3/((a + b*x)^(1/2)*(c + d*x)^(5/2)), x)","F"
750,0,-1,126,0.000000,"\text{Not used}","int(x^2/((a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\int \frac{x^2}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^2/((a + b*x)^(1/2)*(c + d*x)^(5/2)), x)","F"
751,1,129,80,1.427603,"\text{Not used}","int(x/((a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{x\,\left(6\,d\,a^2+2\,b\,c\,a\right)}{3\,d^2\,{\left(a\,d-b\,c\right)}^2}+\frac{4\,a^2\,c}{3\,d^2\,{\left(a\,d-b\,c\right)}^2}-\frac{x^2\,\left(2\,b^2\,c-6\,a\,b\,d\right)}{3\,d^2\,{\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*a^2*d + 2*a*b*c))/(3*d^2*(a*d - b*c)^2) + (4*a^2*c)/(3*d^2*(a*d - b*c)^2) - (x^2*(2*b^2*c - 6*a*b*d))/(3*d^2*(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"
752,1,127,66,1.444536,"\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"
753,0,-1,124,0.000000,"\text{Not used}","int(1/(x*(a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*(a + b*x)^(1/2)*(c + d*x)^(5/2)), x)","F"
754,0,-1,189,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x^2\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x)^(1/2)*(c + d*x)^(5/2)), x)","F"
755,0,-1,277,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x^3\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x)^(1/2)*(c + d*x)^(5/2)), x)","F"
756,1,17,21,1.182453,"\text{Not used}","int(1/(x*(c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{2\,\sqrt{a+b\,x}}{a\,\sqrt{c\,x}}","Not used",1,"-(2*(a + b*x)^(1/2))/(a*(c*x)^(1/2))","B"
757,1,92,42,2.222975,"\text{Not used}","int(1/(x*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{\left(\ln\left(\frac{\sqrt{c\,\left(a-b\,x\right)}-\sqrt{a\,c}}{\sqrt{a+b\,x}-\sqrt{a}}\right)-\ln\left(\frac{{\left(\sqrt{c\,\left(a-b\,x\right)}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-c\right)\right)\,\sqrt{a\,c}}{a^{3/2}\,c}","Not used",1,"-((log(((c*(a - b*x))^(1/2) - (a*c)^(1/2))/((a + b*x)^(1/2) - a^(1/2))) - log(((c*(a - b*x))^(1/2) - (a*c)^(1/2))^2/((a + b*x)^(1/2) - a^(1/2))^2 - c))*(a*c)^(1/2))/(a^(3/2)*c)","B"
758,1,260,54,3.217653,"\text{Not used}","int(1/(x*(1 - b*x - a)^(1/2)*(a + b*x + 1)^(1/2)),x)","\frac{\ln\left(\frac{2\,a\,\left(\sqrt{1-a}-\sqrt{1-b\,x-a}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}-\sqrt{1-a}\,\sqrt{a+1}+\frac{\sqrt{1-a}\,\sqrt{a+1}\,{\left(\sqrt{1-a}-\sqrt{1-b\,x-a}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}\right)-\ln\left(\frac{8\,\left(\sqrt{1-a}-\sqrt{1-b\,x-a}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}-a\,\sqrt{1-a}\,\sqrt{a+1}+a\,{\left(1-a\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-\frac{8\,a^2\,\left(\sqrt{1-a}-\sqrt{1-b\,x-a}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+a^3\,\sqrt{1-a}\,\sqrt{a+1}\right)}{\sqrt{1-a}\,\sqrt{a+1}}","Not used",1,"(log((2*a*((1 - a)^(1/2) - (1 - b*x - a)^(1/2)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) - (1 - a)^(1/2)*(a + 1)^(1/2) + ((1 - a)^(1/2)*(a + 1)^(1/2)*((1 - a)^(1/2) - (1 - b*x - a)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2) - log((8*((1 - a)^(1/2) - (1 - b*x - a)^(1/2)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) - a*(1 - a)^(1/2)*(a + 1)^(1/2) + a*(1 - a)^(3/2)*(a + 1)^(3/2) - (8*a^2*((1 - a)^(1/2) - (1 - b*x - a)^(1/2)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + a^3*(1 - a)^(1/2)*(a + 1)^(1/2)))/((1 - a)^(1/2)*(a + 1)^(1/2))","B"
759,0,-1,271,0.000000,"\text{Not used}","int((x^3*(c + d*x)^(3/2))/(a + b*x)^(3/2),x)","\int \frac{x^3\,{\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c + d*x)^(3/2))/(a + b*x)^(3/2), x)","F"
760,0,-1,246,0.000000,"\text{Not used}","int((x^2*(c + d*x)^(3/2))/(a + b*x)^(3/2),x)","\int \frac{x^2\,{\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c + d*x)^(3/2))/(a + b*x)^(3/2), x)","F"
761,0,-1,171,0.000000,"\text{Not used}","int((x*(c + d*x)^(3/2))/(a + b*x)^(3/2),x)","\int \frac{x\,{\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x*(c + d*x)^(3/2))/(a + b*x)^(3/2), x)","F"
762,0,-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"
763,0,-1,119,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x*(a + b*x)^(3/2)), x)","F"
764,0,-1,108,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^2*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^2\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^2*(a + b*x)^(3/2)), x)","F"
765,0,-1,178,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^3*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^3\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^3*(a + b*x)^(3/2)), x)","F"
766,0,-1,241,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(x^4*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{x^4\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(x^4*(a + b*x)^(3/2)), x)","F"
767,0,-1,346,0.000000,"\text{Not used}","int((x^3*(c + d*x)^(5/2))/(a + b*x)^(3/2),x)","\int \frac{x^3\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c + d*x)^(5/2))/(a + b*x)^(3/2), x)","F"
768,0,-1,306,0.000000,"\text{Not used}","int((x^2*(c + d*x)^(5/2))/(a + b*x)^(3/2),x)","\int \frac{x^2\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c + d*x)^(5/2))/(a + b*x)^(3/2), x)","F"
769,0,-1,214,0.000000,"\text{Not used}","int((x*(c + d*x)^(5/2))/(a + b*x)^(3/2),x)","\int \frac{x\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x*(c + d*x)^(5/2))/(a + b*x)^(3/2), x)","F"
770,0,-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"
771,0,-1,163,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x*(a + b*x)^(3/2)), x)","F"
772,0,-1,163,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^2*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^2\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^2*(a + b*x)^(3/2)), x)","F"
773,0,-1,154,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^3*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^3\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^3*(a + b*x)^(3/2)), x)","F"
774,0,-1,230,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^4*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^4\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^4*(a + b*x)^(3/2)), x)","F"
775,0,-1,318,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^5*(a + b*x)^(3/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^5\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^5*(a + b*x)^(3/2)), x)","F"
776,0,-1,250,0.000000,"\text{Not used}","int(x^4/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{x^4}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^4/((a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
777,0,-1,167,0.000000,"\text{Not used}","int(x^3/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{x^3}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^3/((a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
778,0,-1,130,0.000000,"\text{Not used}","int(x^2/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{x^2}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^2/((a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
779,1,74,75,1.409430,"\text{Not used}","int(x/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\frac{\left(\frac{x\,\left(2\,a\,d+2\,b\,c\right)}{d\,{\left(a\,d-b\,c\right)}^2}+\frac{4\,a\,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,"(((x*(2*a*d + 2*b*c))/(d*(a*d - b*c)^2) + (4*a*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"
780,1,71,62,1.443017,"\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"
781,0,-1,121,0.000000,"\text{Not used}","int(1/(x*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{x\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
782,0,-1,185,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{x^2\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
783,0,-1,268,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","\int \frac{1}{x^3\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x)^(3/2)*(c + d*x)^(3/2)), x)","F"
784,0,-1,351,0.000000,"\text{Not used}","int(x^5/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\int \frac{x^5}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^5/((a + b*x)^(3/2)*(c + d*x)^(5/2)), x)","F"
785,0,-1,251,0.000000,"\text{Not used}","int(x^4/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\int \frac{x^4}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^4/((a + b*x)^(3/2)*(c + d*x)^(5/2)), x)","F"
786,0,-1,165,0.000000,"\text{Not used}","int(x^3/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\int \frac{x^3}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^3/((a + b*x)^(3/2)*(c + d*x)^(5/2)), x)","F"
787,1,139,151,1.634243,"\text{Not used}","int(x^2/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{x^2\,\left(6\,a^2\,d^2+12\,a\,b\,c\,d-2\,b^2\,c^2\right)}{3\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{16\,a^2\,c^2}{3\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,a\,c\,x\,\left(3\,a\,d+b\,c\right)}{3\,d^2\,{\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)*((x^2*(6*a^2*d^2 - 2*b^2*c^2 + 12*a*b*c*d))/(3*d^2*(a*d - b*c)^3) + (16*a^2*c^2)/(3*d^2*(a*d - b*c)^3) + (8*a*c*x*(3*a*d + b*c))/(3*d^2*(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"
788,1,143,118,1.672310,"\text{Not used}","int(x/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{x\,\left(6\,a^2\,d^2+20\,a\,b\,c\,d+6\,b^2\,c^2\right)}{3\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{4\,b\,x^2\,\left(3\,a\,d+b\,c\right)}{3\,d\,{\left(a\,d-b\,c\right)}^3}+\frac{4\,a\,c\,\left(a\,d+3\,b\,c\right)}{3\,d^2\,{\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)*((x*(6*a^2*d^2 + 6*b^2*c^2 + 20*a*b*c*d))/(3*d^2*(a*d - b*c)^3) + (4*b*x^2*(3*a*d + b*c))/(3*d*(a*d - b*c)^3) + (4*a*c*(a*d + 3*b*c))/(3*d^2*(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"
789,1,132,98,1.624508,"\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"
790,0,-1,180,0.000000,"\text{Not used}","int(1/(x*(a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*(a + b*x)^(3/2)*(c + d*x)^(5/2)), x)","F"
791,0,-1,264,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x^2\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x)^(3/2)*(c + d*x)^(5/2)), x)","F"
792,0,-1,361,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x^3\,{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x)^(3/2)*(c + d*x)^(5/2)), x)","F"
793,0,-1,497,0.000000,"\text{Not used}","int((x^4*(c + d*x)^(5/2))/(a + b*x)^(5/2),x)","\int \frac{x^4\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^4*(c + d*x)^(5/2))/(a + b*x)^(5/2), x)","F"
794,0,-1,377,0.000000,"\text{Not used}","int((x^3*(c + d*x)^(5/2))/(a + b*x)^(5/2),x)","\int \frac{x^3\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(c + d*x)^(5/2))/(a + b*x)^(5/2), x)","F"
795,0,-1,319,0.000000,"\text{Not used}","int((x^2*(c + d*x)^(5/2))/(a + b*x)^(5/2),x)","\int \frac{x^2\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(c + d*x)^(5/2))/(a + b*x)^(5/2), x)","F"
796,0,-1,222,0.000000,"\text{Not used}","int((x*(c + d*x)^(5/2))/(a + b*x)^(5/2),x)","\int \frac{x\,{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x*(c + d*x)^(5/2))/(a + b*x)^(5/2), x)","F"
797,0,-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"
798,0,-1,157,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x*(a + b*x)^(5/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x\,{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x*(a + b*x)^(5/2)), x)","F"
799,0,-1,142,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^2*(a + b*x)^(5/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^2\,{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^2*(a + b*x)^(5/2)), x)","F"
800,0,-1,220,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^3*(a + b*x)^(5/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^3\,{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^3*(a + b*x)^(5/2)), x)","F"
801,0,-1,278,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^4*(a + b*x)^(5/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^4\,{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^4*(a + b*x)^(5/2)), x)","F"
802,0,-1,388,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(x^5*(a + b*x)^(5/2)),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{x^5\,{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(x^5*(a + b*x)^(5/2)), x)","F"
803,0,-1,126,0.000000,"\text{Not used}","int(x^2/((a + b*x)^(5/2)*(c + d*x)^(1/2)),x)","\int \frac{x^2}{{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(x^2/((a + b*x)^(5/2)*(c + d*x)^(1/2)), x)","F"
804,0,-1,445,0.000000,"\text{Not used}","int(x^6/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{x^6}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^6/((a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
805,0,-1,341,0.000000,"\text{Not used}","int(x^5/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{x^5}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^5/((a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
806,0,-1,241,0.000000,"\text{Not used}","int(x^4/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{x^4}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^4/((a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
807,0,-1,189,0.000000,"\text{Not used}","int(x^3/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{x^3}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^3/((a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
808,1,248,186,1.876912,"\text{Not used}","int(x^2/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{4\,x^3\,\left(a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d\,{\left(a\,d-b\,c\right)}^4}+\frac{x^2\,\left(6\,a^3\,d^3+42\,a^2\,b\,c\,d^2+42\,a\,b^2\,c^2\,d+6\,b^3\,c^3\right)}{3\,b\,d^2\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,a^2\,c^2\,\left(a\,d+b\,c\right)}{3\,b\,d^2\,{\left(a\,d-b\,c\right)}^4}+\frac{8\,a\,c\,x\,{\left(a\,d+b\,c\right)}^2}{b\,d^2\,{\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)*((4*x^3*(a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/(3*d*(a*d - b*c)^4) + (x^2*(6*a^3*d^3 + 6*b^3*c^3 + 42*a*b^2*c^2*d + 42*a^2*b*c*d^2))/(3*b*d^2*(a*d - b*c)^4) + (16*a^2*c^2*(a*d + b*c))/(3*b*d^2*(a*d - b*c)^4) + (8*a*c*x*(a*d + b*c)^2)/(b*d^2*(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"
809,1,238,158,1.852132,"\text{Not used}","int(x/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{8\,x^2\,{\left(a\,d+b\,c\right)}^2}{d\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,b\,x^3\,\left(a\,d+b\,c\right)}{3\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,\left(6\,a^3\,d^3+42\,a^2\,b\,c\,d^2+42\,a\,b^2\,c^2\,d+6\,b^3\,c^3\right)}{3\,b\,d^2\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,a\,c\,\left(a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{3\,b\,d^2\,{\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)*((8*x^2*(a*d + b*c)^2)/(d*(a*d - b*c)^4) + (16*b*x^3*(a*d + b*c))/(3*(a*d - b*c)^4) + (x*(6*a^3*d^3 + 6*b^3*c^3 + 42*a*b^2*c^2*d + 42*a^2*b*c*d^2))/(3*b*d^2*(a*d - b*c)^4) + (4*a*c*(a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/(3*b*d^2*(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"
810,1,224,135,1.850846,"\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"
811,0,-1,252,0.000000,"\text{Not used}","int(1/(x*(a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x\,{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*(a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
812,0,-1,352,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x^2\,{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
813,0,-1,462,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\int \frac{1}{x^3\,{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x)^(5/2)*(c + d*x)^(5/2)), x)","F"
814,0,-1,28,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(1/2))/(- a - b*x)^(1/2),x)","\int \frac{x^2\,\sqrt{a+b\,x}}{\sqrt{-a-b\,x}} \,d x","Not used",1,"int((x^2*(a + b*x)^(1/2))/(- a - b*x)^(1/2), x)","F"
815,0,-1,28,0.000000,"\text{Not used}","int((x*(a + b*x)^(1/2))/(- a - b*x)^(1/2),x)","\int \frac{x\,\sqrt{a+b\,x}}{\sqrt{-a-b\,x}} \,d x","Not used",1,"int((x*(a + b*x)^(1/2))/(- a - b*x)^(1/2), x)","F"
816,0,-1,23,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(- a - b*x)^(1/2),x)","\int \frac{\sqrt{a+b\,x}}{\sqrt{-a-b\,x}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(- a - b*x)^(1/2), x)","F"
817,0,-1,24,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(x*(- a - b*x)^(1/2)),x)","\int \frac{\sqrt{a+b\,x}}{x\,\sqrt{-a-b\,x}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(x*(- a - b*x)^(1/2)), x)","F"
818,1,21,26,1.139915,"\text{Not used}","int((a + b*x)^(1/2)/(x^2*(- a - b*x)^(1/2)),x)","\frac{\sqrt{-a-b\,x}}{x\,\sqrt{a+b\,x}}","Not used",1,"(- a - b*x)^(1/2)/(x*(a + b*x)^(1/2))","B"
819,1,22,28,1.117330,"\text{Not used}","int((a + b*x)^(1/2)/(x^3*(- a - b*x)^(1/2)),x)","\frac{\sqrt{-a-b\,x}}{2\,x^2\,\sqrt{a+b\,x}}","Not used",1,"(- a - b*x)^(1/2)/(2*x^2*(a + b*x)^(1/2))","B"
820,1,31,36,1.195725,"\text{Not used}","int((a + b*x)^(1/2)/(x^m*(- a - b*x)^(1/2)),x)","-\frac{x^{1-m}\,\sqrt{a+b\,x}}{\left(m-1\right)\,\sqrt{-a-b\,x}}","Not used",1,"-(x^(1 - m)*(a + b*x)^(1/2))/((m - 1)*(- a - b*x)^(1/2))","B"
821,1,24,26,1.015828,"\text{Not used}","int((x^2*(a + b*x)^n)/(- a - b*x)^n,x)","\frac{x^3\,{\left(a+b\,x\right)}^n}{3\,{\left(-a-b\,x\right)}^n}","Not used",1,"(x^3*(a + b*x)^n)/(3*(- a - b*x)^n)","B"
822,1,24,26,0.968072,"\text{Not used}","int((x*(a + b*x)^n)/(- a - b*x)^n,x)","\frac{x^2\,{\left(a+b\,x\right)}^n}{2\,{\left(-a-b\,x\right)}^n}","Not used",1,"(x^2*(a + b*x)^n)/(2*(- a - b*x)^n)","B"
823,1,21,21,1.260613,"\text{Not used}","int((a + b*x)^n/(- a - b*x)^n,x)","\frac{x\,{\left(a+b\,x\right)}^n}{{\left(-a-b\,x\right)}^n}","Not used",1,"(x*(a + b*x)^n)/(- a - b*x)^n","B"
824,0,-1,22,0.000000,"\text{Not used}","int((a + b*x)^n/(x*(- a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^n}{x\,{\left(-a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(x*(- a - b*x)^n), x)","F"
825,1,24,24,1.040068,"\text{Not used}","int((a + b*x)^n/(x^2*(- a - b*x)^n),x)","-\frac{{\left(a+b\,x\right)}^n}{x\,{\left(-a-b\,x\right)}^n}","Not used",1,"-(a + b*x)^n/(x*(- a - b*x)^n)","B"
826,1,24,26,1.040107,"\text{Not used}","int((a + b*x)^n/(x^3*(- a - b*x)^n),x)","-\frac{{\left(a+b\,x\right)}^n}{2\,x^2\,{\left(-a-b\,x\right)}^n}","Not used",1,"-(a + b*x)^n/(2*x^2*(- a - b*x)^n)","B"
827,0,-1,34,0.000000,"\text{Not used}","int((a + b*x)^n/(x^m*(- a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^m\,{\left(-a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(x^m*(- a - b*x)^n), x)","F"
828,0,-1,78,0.000000,"\text{Not used}","int((x^3*(x + 1)^(1/2))/(1 - x)^(5/2),x)","\int \frac{x^3\,\sqrt{x+1}}{{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(x + 1)^(1/2))/(1 - x)^(5/2), x)","F"
829,0,-1,61,0.000000,"\text{Not used}","int((x^2*(x + 1)^(1/2))/(1 - x)^(5/2),x)","\int \frac{x^2\,\sqrt{x+1}}{{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(x + 1)^(1/2))/(1 - x)^(5/2), x)","F"
830,0,-1,41,0.000000,"\text{Not used}","int((x*(x + 1)^(1/2))/(1 - x)^(5/2),x)","\int \frac{x\,\sqrt{x+1}}{{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x*(x + 1)^(1/2))/(1 - x)^(5/2), x)","F"
831,1,34,20,1.112135,"\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"
832,1,27,18,1.079260,"\text{Not used}","int((x + 1)^(1/2)/(x - 1)^(5/2),x)","-\frac{x\,\sqrt{x+1}+\sqrt{x+1}}{\left(3\,x-3\right)\,\sqrt{x-1}}","Not used",1,"-(x*(x + 1)^(1/2) + (x + 1)^(1/2))/((3*x - 3)*(x - 1)^(1/2))","B"
833,0,-1,59,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x*(1 - x)^(5/2)),x)","\int \frac{\sqrt{x+1}}{x\,{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x*(1 - x)^(5/2)), x)","F"
834,0,-1,87,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x^2*(1 - x)^(5/2)),x)","\int \frac{\sqrt{x+1}}{x^2\,{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x^2*(1 - x)^(5/2)), x)","F"
835,0,-1,112,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x^3*(1 - x)^(5/2)),x)","\int \frac{\sqrt{x+1}}{x^3\,{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x^3*(1 - x)^(5/2)), x)","F"
836,1,194,26,7.512684,"\text{Not used}","int(x^2/((x - 1)^(1/2)*(x + 1)^(1/2)),x)","2\,\mathrm{atanh}\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)-\frac{\frac{14\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{x+1}-1\right)}^3}+\frac{14\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5}{{\left(\sqrt{x+1}-1\right)}^5}+\frac{2\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7}{{\left(\sqrt{x+1}-1\right)}^7}+\frac{2\,\left(\sqrt{x-1}-\mathrm{i}\right)}{\sqrt{x+1}-1}}{1+\frac{6\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{x+1}-1\right)}^4}-\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{x+1}-1\right)}^6}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{x+1}-1\right)}^8}-\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}}","Not used",1,"2*atanh(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1)) - ((14*((x - 1)^(1/2) - 1i)^3)/((x + 1)^(1/2) - 1)^3 + (14*((x - 1)^(1/2) - 1i)^5)/((x + 1)^(1/2) - 1)^5 + (2*((x - 1)^(1/2) - 1i)^7)/((x + 1)^(1/2) - 1)^7 + (2*((x - 1)^(1/2) - 1i))/((x + 1)^(1/2) - 1))/((6*((x - 1)^(1/2) - 1i)^4)/((x + 1)^(1/2) - 1)^4 - (4*((x - 1)^(1/2) - 1i)^2)/((x + 1)^(1/2) - 1)^2 - (4*((x - 1)^(1/2) - 1i)^6)/((x + 1)^(1/2) - 1)^6 + ((x - 1)^(1/2) - 1i)^8/((x + 1)^(1/2) - 1)^8 + 1)","B"
837,1,67,15,2.647379,"\text{Not used}","int(x/((x - 1)^(1/2)*(x + 1)^(1/2)),x)","-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,8{}\mathrm{i}}{{\left(\sqrt{x+1}-1\right)}^2\,\left(1+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{x+1}-1\right)}^4}-\frac{2\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}\right)}","Not used",1,"-(((x - 1)^(1/2) - 1i)^2*8i)/(((x + 1)^(1/2) - 1)^2*(((x - 1)^(1/2) - 1i)^4/((x + 1)^(1/2) - 1)^4 - (2*((x - 1)^(1/2) - 1i)^2)/((x + 1)^(1/2) - 1)^2 + 1))","B"
838,1,2,2,0.997068,"\text{Not used}","int(1/((x - 1)^(1/2)*(x + 1)^(1/2)),x)","\mathrm{acosh}\left(x\right)","Not used",1,"acosh(x)","B"
839,1,49,16,2.040540,"\text{Not used}","int(1/(x*(x - 1)^(1/2)*(x + 1)^(1/2)),x)","-\ln\left(\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}+1\right)\,1{}\mathrm{i}+\ln\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)\,1{}\mathrm{i}","Not used",1,"log(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1))*1i - log(((x - 1)^(1/2) - 1i)^2/((x + 1)^(1/2) - 1)^2 + 1)*1i","B"
840,1,14,18,1.173389,"\text{Not used}","int(1/(x^2*(x - 1)^(1/2)*(x + 1)^(1/2)),x)","\frac{\sqrt{x-1}\,\sqrt{x+1}}{x}","Not used",1,"((x - 1)^(1/2)*(x + 1)^(1/2))/x","B"
841,1,362,45,7.553889,"\text{Not used}","int(x^2*(x - 1)^(1/2)*(x + 1)^(1/2),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)}{2}+\frac{\frac{35\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3}{2\,{\left(\sqrt{x+1}-1\right)}^3}+\frac{273\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5}{2\,{\left(\sqrt{x+1}-1\right)}^5}+\frac{715\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7}{2\,{\left(\sqrt{x+1}-1\right)}^7}+\frac{715\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^9}{2\,{\left(\sqrt{x+1}-1\right)}^9}+\frac{273\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^{11}}{2\,{\left(\sqrt{x+1}-1\right)}^{11}}+\frac{35\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^{13}}{2\,{\left(\sqrt{x+1}-1\right)}^{13}}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^{15}}{2\,{\left(\sqrt{x+1}-1\right)}^{15}}+\frac{\sqrt{x-1}-\mathrm{i}}{2\,\left(\sqrt{x+1}-1\right)}}{1+\frac{28\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{x+1}-1\right)}^4}-\frac{56\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{x+1}-1\right)}^6}+\frac{70\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{x+1}-1\right)}^8}-\frac{56\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^{10}}{{\left(\sqrt{x+1}-1\right)}^{10}}+\frac{28\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^{12}}{{\left(\sqrt{x+1}-1\right)}^{12}}-\frac{8\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^{14}}{{\left(\sqrt{x+1}-1\right)}^{14}}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^{16}}{{\left(\sqrt{x+1}-1\right)}^{16}}-\frac{8\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}}","Not used",1,"((35*((x - 1)^(1/2) - 1i)^3)/(2*((x + 1)^(1/2) - 1)^3) + (273*((x - 1)^(1/2) - 1i)^5)/(2*((x + 1)^(1/2) - 1)^5) + (715*((x - 1)^(1/2) - 1i)^7)/(2*((x + 1)^(1/2) - 1)^7) + (715*((x - 1)^(1/2) - 1i)^9)/(2*((x + 1)^(1/2) - 1)^9) + (273*((x - 1)^(1/2) - 1i)^11)/(2*((x + 1)^(1/2) - 1)^11) + (35*((x - 1)^(1/2) - 1i)^13)/(2*((x + 1)^(1/2) - 1)^13) + ((x - 1)^(1/2) - 1i)^15/(2*((x + 1)^(1/2) - 1)^15) + ((x - 1)^(1/2) - 1i)/(2*((x + 1)^(1/2) - 1)))/((28*((x - 1)^(1/2) - 1i)^4)/((x + 1)^(1/2) - 1)^4 - (8*((x - 1)^(1/2) - 1i)^2)/((x + 1)^(1/2) - 1)^2 - (56*((x - 1)^(1/2) - 1i)^6)/((x + 1)^(1/2) - 1)^6 + (70*((x - 1)^(1/2) - 1i)^8)/((x + 1)^(1/2) - 1)^8 - (56*((x - 1)^(1/2) - 1i)^10)/((x + 1)^(1/2) - 1)^10 + (28*((x - 1)^(1/2) - 1i)^12)/((x + 1)^(1/2) - 1)^12 - (8*((x - 1)^(1/2) - 1i)^14)/((x + 1)^(1/2) - 1)^14 + ((x - 1)^(1/2) - 1i)^16/((x + 1)^(1/2) - 1)^16 + 1) - atanh(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1))/2","B"
842,1,17,18,1.058570,"\text{Not used}","int(x*(x - 1)^(1/2)*(x + 1)^(1/2),x)","\frac{\left(x^2-1\right)\,\sqrt{x-1}\,\sqrt{x+1}}{3}","Not used",1,"((x^2 - 1)*(x - 1)^(1/2)*(x + 1)^(1/2))/3","B"
843,1,30,26,1.081314,"\text{Not used}","int((x - 1)^(1/2)*(x + 1)^(1/2),x)","\frac{x\,\sqrt{x-1}\,\sqrt{x+1}}{2}-\frac{\ln\left(x+\sqrt{x-1}\,\sqrt{x+1}\right)}{2}","Not used",1,"(x*(x - 1)^(1/2)*(x + 1)^(1/2))/2 - log(x + (x - 1)^(1/2)*(x + 1)^(1/2))/2","B"
844,1,116,34,2.092836,"\text{Not used}","int(((x - 1)^(1/2)*(x + 1)^(1/2))/x,x)","\ln\left(\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}+1\right)\,1{}\mathrm{i}-\ln\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)\,1{}\mathrm{i}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,8{}\mathrm{i}}{{\left(\sqrt{x+1}-1\right)}^2\,\left(1+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{x+1}-1\right)}^4}-\frac{2\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2}\right)}","Not used",1,"log(((x - 1)^(1/2) - 1i)^2/((x + 1)^(1/2) - 1)^2 + 1)*1i - log(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1))*1i - (((x - 1)^(1/2) - 1i)^2*8i)/(((x + 1)^(1/2) - 1)^2*(((x - 1)^(1/2) - 1i)^4/((x + 1)^(1/2) - 1)^4 - (2*((x - 1)^(1/2) - 1i)^2)/((x + 1)^(1/2) - 1)^2 + 1))","B"
845,1,109,22,1.999964,"\text{Not used}","int(((x - 1)^(1/2)*(x + 1)^(1/2))/x^2,x)","4\,\mathrm{atanh}\left(\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}\right)-\frac{\sqrt{x-1}-\mathrm{i}}{4\,\left(\sqrt{x+1}-1\right)}-\frac{\frac{5\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{4\,{\left(\sqrt{x+1}-1\right)}^2}+\frac{1}{4}}{\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{x+1}-1\right)}^3}+\frac{\sqrt{x-1}-\mathrm{i}}{\sqrt{x+1}-1}}","Not used",1,"4*atanh(((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1)) - ((x - 1)^(1/2) - 1i)/(4*((x + 1)^(1/2) - 1)) - ((5*((x - 1)^(1/2) - 1i)^2)/(4*((x + 1)^(1/2) - 1)^2) + 1/4)/(((x - 1)^(1/2) - 1i)^3/((x + 1)^(1/2) - 1)^3 + ((x - 1)^(1/2) - 1i)/((x + 1)^(1/2) - 1))","B"
846,1,28,16,0.373713,"\text{Not used}","int(1/((2*x + 1)^(1/2)*(2*x + 3)^(1/2)),x)","-2\,\mathrm{atanh}\left(\frac{\sqrt{3}-\sqrt{2\,x+3}}{\sqrt{2\,x+1}-1}\right)","Not used",1,"-2*atanh((3^(1/2) - (2*x + 3)^(1/2))/((2*x + 1)^(1/2) - 1))","B"
847,1,118,35,4.963003,"\text{Not used}","int(1/(x*(3*x - 2)^(1/2)*(5*x + 3)^(1/2)),x)","-\frac{\sqrt{6}\,\left(\ln\left(\frac{{\left(-\sqrt{3\,x-2}+\sqrt{2}\,1{}\mathrm{i}\right)}^2}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{3}{5}-\frac{\sqrt{6}\,\left(-\sqrt{3\,x-2}+\sqrt{2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{30\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)-\ln\left(\frac{-\sqrt{3\,x-2}+\sqrt{2}\,1{}\mathrm{i}}{\sqrt{3}-\sqrt{5\,x+3}}\right)\right)\,1{}\mathrm{i}}{6}","Not used",1,"-(6^(1/2)*(log((2^(1/2)*1i - (3*x - 2)^(1/2))^2/(3^(1/2) - (5*x + 3)^(1/2))^2 - (6^(1/2)*(2^(1/2)*1i - (3*x - 2)^(1/2))*1i)/(30*(3^(1/2) - (5*x + 3)^(1/2))) + 3/5) - log((2^(1/2)*1i - (3*x - 2)^(1/2))/(3^(1/2) - (5*x + 3)^(1/2))))*1i)/6","B"
848,0,-1,35,0.000000,"\text{Not used}","int(1/(x*(x - 1)^(3/2)*(x + 1)^(3/2)),x)","\int \frac{1}{x\,{\left(x-1\right)}^{3/2}\,{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(x - 1)^(3/2)*(x + 1)^(3/2)), x)","F"
849,1,19,20,1.087796,"\text{Not used}","int(x*(1 - x)^(1/2)*(x + 1)^(1/2),x)","\frac{\left(x^2-1\right)\,\sqrt{1-x}\,\sqrt{x+1}}{3}","Not used",1,"((x^2 - 1)*(1 - x)^(1/2)*(x + 1)^(1/2))/3","B"
850,0,-1,146,0.000000,"\text{Not used}","int(x^3*(3*x + 2)^(3/2)*(4*x + 1)^(1/2),x)","\int x^3\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{4\,x+1} \,d x","Not used",1,"int(x^3*(3*x + 2)^(3/2)*(4*x + 1)^(1/2), x)","F"
851,1,53,22,1.077509,"\text{Not used}","int(1/((a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
852,0,-1,75,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)^(1/2)*(a - b*x)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{a+b\,x}\,\sqrt{a-b\,x}} \,d x","Not used",1,"int(1/(x^(1/2)*(a + b*x)^(1/2)*(a - b*x)^(1/2)), x)","F"
853,0,-1,77,0.000000,"\text{Not used}","int(1/((-x)^(1/2)*(a + b*x)^(1/2)*(a - b*x)^(1/2)),x)","\int \frac{1}{\sqrt{-x}\,\sqrt{a+b\,x}\,\sqrt{a-b\,x}} \,d x","Not used",1,"int(1/((-x)^(1/2)*(a + b*x)^(1/2)*(a - b*x)^(1/2)), x)","F"
854,0,-1,87,0.000000,"\text{Not used}","int(1/((e*x)^(1/2)*(a + b*x)^(1/2)*(a - b*x)^(1/2)),x)","\int \frac{1}{\sqrt{e\,x}\,\sqrt{a+b\,x}\,\sqrt{a-b\,x}} \,d x","Not used",1,"int(1/((e*x)^(1/2)*(a + b*x)^(1/2)*(a - b*x)^(1/2)), x)","F"
855,0,-1,30,0.000000,"\text{Not used}","int(1/(x^(1/2)*(2 - b*x)^(1/2)*(b*x + 2)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{2-b\,x}\,\sqrt{b\,x+2}} \,d x","Not used",1,"int(1/(x^(1/2)*(2 - b*x)^(1/2)*(b*x + 2)^(1/2)), x)","F"
856,0,-1,33,0.000000,"\text{Not used}","int(1/((-x)^(1/2)*(2 - b*x)^(1/2)*(b*x + 2)^(1/2)),x)","\int \frac{1}{\sqrt{-x}\,\sqrt{2-b\,x}\,\sqrt{b\,x+2}} \,d x","Not used",1,"int(1/((-x)^(1/2)*(2 - b*x)^(1/2)*(b*x + 2)^(1/2)), x)","F"
857,0,-1,42,0.000000,"\text{Not used}","int(1/((e*x)^(1/2)*(2 - b*x)^(1/2)*(b*x + 2)^(1/2)),x)","\int \frac{1}{\sqrt{e\,x}\,\sqrt{2-b\,x}\,\sqrt{b\,x+2}} \,d x","Not used",1,"int(1/((e*x)^(1/2)*(2 - b*x)^(1/2)*(b*x + 2)^(1/2)), x)","F"
858,0,-1,24,0.000000,"\text{Not used}","int(1/(x^(1/2)*(2 - 3*x)^(1/2)*(3*x + 2)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{2-3\,x}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int(1/(x^(1/2)*(2 - 3*x)^(1/2)*(3*x + 2)^(1/2)), x)","F"
859,0,-1,27,0.000000,"\text{Not used}","int(1/((-x)^(1/2)*(2 - 3*x)^(1/2)*(3*x + 2)^(1/2)),x)","\int \frac{1}{\sqrt{-x}\,\sqrt{2-3\,x}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int(1/((-x)^(1/2)*(2 - 3*x)^(1/2)*(3*x + 2)^(1/2)), x)","F"
860,0,-1,36,0.000000,"\text{Not used}","int(1/((2 - 3*x)^(1/2)*(3*x + 2)^(1/2)*(e*x)^(1/2)),x)","\int \frac{1}{\sqrt{2-3\,x}\,\sqrt{3\,x+2}\,\sqrt{e\,x}} \,d x","Not used",1,"int(1/((2 - 3*x)^(1/2)*(3*x + 2)^(1/2)*(e*x)^(1/2)), x)","F"
861,0,-1,10,0.000000,"\text{Not used}","int(1/(x^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{1-x}\,\sqrt{x+1}} \,d x","Not used",1,"int(1/(x^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)), x)","F"
862,0,-1,10,0.000000,"\text{Not used}","int(1/((x - x^2)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{1}{\sqrt{x-x^2}\,\sqrt{x+1}} \,d x","Not used",1,"int(1/((x - x^2)^(1/2)*(x + 1)^(1/2)), x)","F"
863,0,-1,33,0.000000,"\text{Not used}","int(1/((b*x)^(1/2)*(1 - c*x)^(1/2)*(c*x + 1)^(1/2)),x)","\int \frac{1}{\sqrt{b\,x}\,\sqrt{1-c\,x}\,\sqrt{c\,x+1}} \,d x","Not used",1,"int(1/((b*x)^(1/2)*(1 - c*x)^(1/2)*(c*x + 1)^(1/2)), x)","F"
864,0,-1,38,0.000000,"\text{Not used}","int(1/((b*x)^(1/2)*(1 - c*x)^(1/2)*(d*x + 1)^(1/2)),x)","\int \frac{1}{\sqrt{b\,x}\,\sqrt{1-c\,x}\,\sqrt{d\,x+1}} \,d x","Not used",1,"int(1/((b*x)^(1/2)*(1 - c*x)^(1/2)*(d*x + 1)^(1/2)), x)","F"
865,0,-1,10,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x^(1/2)*(1 - x)^(1/2)),x)","\int \frac{\sqrt{x+1}}{\sqrt{x}\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x^(1/2)*(1 - x)^(1/2)), x)","F"
866,0,-1,10,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x - x^2)^(1/2),x)","\int \frac{\sqrt{x+1}}{\sqrt{x-x^2}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x - x^2)^(1/2), x)","F"
867,0,-1,33,0.000000,"\text{Not used}","int((c*x + 1)^(1/2)/((b*x)^(1/2)*(1 - c*x)^(1/2)),x)","\int \frac{\sqrt{c\,x+1}}{\sqrt{b\,x}\,\sqrt{1-c\,x}} \,d x","Not used",1,"int((c*x + 1)^(1/2)/((b*x)^(1/2)*(1 - c*x)^(1/2)), x)","F"
868,0,-1,38,0.000000,"\text{Not used}","int((c*x + 1)^(1/2)/((b*x)^(1/2)*(1 - d*x)^(1/2)),x)","\int \frac{\sqrt{c\,x+1}}{\sqrt{b\,x}\,\sqrt{1-d\,x}} \,d x","Not used",1,"int((c*x + 1)^(1/2)/((b*x)^(1/2)*(1 - d*x)^(1/2)), x)","F"
869,0,-1,24,0.000000,"\text{Not used}","int((1 - x)^(1/2)/(x^(1/2)*(x + 1)^(1/2)),x)","\int \frac{\sqrt{1-x}}{\sqrt{x}\,\sqrt{x+1}} \,d x","Not used",1,"int((1 - x)^(1/2)/(x^(1/2)*(x + 1)^(1/2)), x)","F"
870,0,-1,24,0.000000,"\text{Not used}","int((x^(1/2)*(1/x - 1)^(1/2)*(1/x)^(1/2))/(x + 1)^(1/2),x)","\int \frac{\sqrt{x}\,\sqrt{\frac{1}{x}-1}\,\sqrt{\frac{1}{x}}}{\sqrt{x+1}} \,d x","Not used",1,"int((x^(1/2)*(1/x - 1)^(1/2)*(1/x)^(1/2))/(x + 1)^(1/2), x)","F"
871,0,-1,37,0.000000,"\text{Not used}","int((1 - c*x)^(1/2)/((b*x)^(1/2)*(c*x + 1)^(1/2)),x)","\int \frac{\sqrt{1-c\,x}}{\sqrt{b\,x}\,\sqrt{c\,x+1}} \,d x","Not used",1,"int((1 - c*x)^(1/2)/((b*x)^(1/2)*(c*x + 1)^(1/2)), x)","F"
872,0,-1,42,0.000000,"\text{Not used}","int((1 - c*x)^(1/2)/((b*x)^(1/2)*(d*x + 1)^(1/2)),x)","\int \frac{\sqrt{1-c\,x}}{\sqrt{b\,x}\,\sqrt{d\,x+1}} \,d x","Not used",1,"int((1 - c*x)^(1/2)/((b*x)^(1/2)*(d*x + 1)^(1/2)), x)","F"
873,0,-1,51,0.000000,"\text{Not used}","int(1/(x^(1/2)*(2 - 3*x)^(1/2)*(d + e*x)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{2-3\,x}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int(1/(x^(1/2)*(2 - 3*x)^(1/2)*(d + e*x)^(1/2)), x)","F"
874,0,-1,51,0.000000,"\text{Not used}","int((d + e*x)^(1/2)/(x^(1/2)*(2 - 3*x)^(1/2)),x)","\int \frac{\sqrt{d+e\,x}}{\sqrt{x}\,\sqrt{2-3\,x}} \,d x","Not used",1,"int((d + e*x)^(1/2)/(x^(1/2)*(2 - 3*x)^(1/2)), x)","F"
875,0,-1,752,0.000000,"\text{Not used}","int(x^4/((1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{x^4}{{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(x^4/((1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
876,0,-1,727,0.000000,"\text{Not used}","int(x^3/((1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{x^3}{{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(x^3/((1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
877,0,-1,720,0.000000,"\text{Not used}","int(x^2/((1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{x^2}{{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(x^2/((1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
878,0,-1,695,0.000000,"\text{Not used}","int(x/((1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{x}{{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(x/((1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
879,0,-1,671,0.000000,"\text{Not used}","int(1/((1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{1}{{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(1/((1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
880,0,-1,99,0.000000,"\text{Not used}","int(1/(x*(1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{1}{x\,{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*(1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
881,0,-1,796,0.000000,"\text{Not used}","int(1/(x^2*(1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{1}{x^2\,{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^2*(1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
882,0,-1,821,0.000000,"\text{Not used}","int(1/(x^3*(1 - x)^(1/3)*(2 - x)^(1/3)),x)","\int \frac{1}{x^3\,{\left(1-x\right)}^{1/3}\,{\left(2-x\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^3*(1 - x)^(1/3)*(2 - x)^(1/3)), x)","F"
883,0,-1,340,0.000000,"\text{Not used}","int((x^3*(a + b*x)^(1/4))/(c + d*x)^(1/4),x)","\int \frac{x^3\,{\left(a+b\,x\right)}^{1/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((x^3*(a + b*x)^(1/4))/(c + d*x)^(1/4), x)","F"
884,0,-1,268,0.000000,"\text{Not used}","int((x^2*(a + b*x)^(1/4))/(c + d*x)^(1/4),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^{1/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((x^2*(a + b*x)^(1/4))/(c + d*x)^(1/4), x)","F"
885,0,-1,188,0.000000,"\text{Not used}","int((x*(a + b*x)^(1/4))/(c + d*x)^(1/4),x)","\int \frac{x\,{\left(a+b\,x\right)}^{1/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((x*(a + b*x)^(1/4))/(c + d*x)^(1/4), x)","F"
886,0,-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"
887,0,-1,169,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(x*(c + d*x)^(1/4)),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{x\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(x*(c + d*x)^(1/4)), x)","F"
888,0,-1,131,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(x^2*(c + d*x)^(1/4)),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{x^2\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(x^2*(c + d*x)^(1/4)), x)","F"
889,0,-1,194,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(x^3*(c + d*x)^(1/4)),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{x^3\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(x^3*(c + d*x)^(1/4)), x)","F"
890,0,-1,266,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(x^4*(c + d*x)^(1/4)),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{x^4\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(x^4*(c + d*x)^(1/4)), x)","F"
891,0,-1,368,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(x^5*(c + d*x)^(1/4)),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{x^5\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(x^5*(c + d*x)^(1/4)), x)","F"
892,0,-1,234,0.000000,"\text{Not used}","int((x^2*(x + 1)^(1/4))/(1 - x)^(1/4),x)","\int \frac{x^2\,{\left(x+1\right)}^{1/4}}{{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x^2*(x + 1)^(1/4))/(1 - x)^(1/4), x)","F"
893,0,-1,213,0.000000,"\text{Not used}","int((x*(x + 1)^(1/4))/(1 - x)^(1/4),x)","\int \frac{x\,{\left(x+1\right)}^{1/4}}{{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x*(x + 1)^(1/4))/(1 - x)^(1/4), x)","F"
894,0,-1,186,0.000000,"\text{Not used}","int((x + 1)^(1/4)/(1 - x)^(1/4),x)","\int \frac{{\left(x+1\right)}^{1/4}}{{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x + 1)^(1/4)/(1 - x)^(1/4), x)","F"
895,0,-1,203,0.000000,"\text{Not used}","int((x + 1)^(1/4)/(x*(1 - x)^(1/4)),x)","\int \frac{{\left(x+1\right)}^{1/4}}{x\,{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x + 1)^(1/4)/(x*(1 - x)^(1/4)), x)","F"
896,0,-1,62,0.000000,"\text{Not used}","int((x + 1)^(1/4)/(x^2*(1 - x)^(1/4)),x)","\int \frac{{\left(x+1\right)}^{1/4}}{x^2\,{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x + 1)^(1/4)/(x^2*(1 - x)^(1/4)), x)","F"
897,0,-1,91,0.000000,"\text{Not used}","int((x + 1)^(1/4)/(x^3*(1 - x)^(1/4)),x)","\int \frac{{\left(x+1\right)}^{1/4}}{x^3\,{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x + 1)^(1/4)/(x^3*(1 - x)^(1/4)), x)","F"
898,0,-1,114,0.000000,"\text{Not used}","int((x + 1)^(1/4)/(x^4*(1 - x)^(1/4)),x)","\int \frac{{\left(x+1\right)}^{1/4}}{x^4\,{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x + 1)^(1/4)/(x^4*(1 - x)^(1/4)), x)","F"
899,0,-1,137,0.000000,"\text{Not used}","int((x + 1)^(1/4)/(x^5*(1 - x)^(1/4)),x)","\int \frac{{\left(x+1\right)}^{1/4}}{x^5\,{\left(1-x\right)}^{1/4}} \,d x","Not used",1,"int((x + 1)^(1/4)/(x^5*(1 - x)^(1/4)), x)","F"
900,0,-1,259,0.000000,"\text{Not used}","int(x^3/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{x^3}{{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(x^3/((a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
901,0,-1,201,0.000000,"\text{Not used}","int(x^2/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{x^2}{{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(x^2/((a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
902,0,-1,130,0.000000,"\text{Not used}","int(x/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{x}{{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(x/((a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
903,0,-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"
904,0,-1,85,0.000000,"\text{Not used}","int(1/(x*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{x\,{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/(x*(a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
905,0,-1,134,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{x^2\,{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^2*(a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
906,0,-1,206,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{x^3\,{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^3*(a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
907,0,-1,288,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{x^4\,{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
908,0,-1,244,0.000000,"\text{Not used}","int((e*x)^(3/2)/((1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{{\left(e\,x\right)}^{3/2}}{{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int((e*x)^(3/2)/((1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
909,0,-1,216,0.000000,"\text{Not used}","int(1/((e*x)^(1/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{1}{\sqrt{e\,x}\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int(1/((e*x)^(1/2)*(1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
910,1,36,30,1.236837,"\text{Not used}","int(1/((e*x)^(5/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","-\frac{\sqrt{e\,x}\,\left(\frac{2}{3\,e^3}-\frac{2\,x^2}{3\,e^3}\right)}{x^2\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}}","Not used",1,"-((e*x)^(1/2)*(2/(3*e^3) - (2*x^2)/(3*e^3)))/(x^2*(1 - x)^(1/4)*(x + 1)^(1/4))","B"
911,1,44,51,1.242467,"\text{Not used}","int(1/((e*x)^(9/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","-\frac{\sqrt{e\,x}\,\left(\frac{2}{7\,e^5}+\frac{2\,x^2}{21\,e^5}-\frac{8\,x^4}{21\,e^5}\right)}{x^4\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}}","Not used",1,"-((e*x)^(1/2)*(2/(7*e^5) + (2*x^2)/(21*e^5) - (8*x^4)/(21*e^5)))/(x^4*(1 - x)^(1/4)*(x + 1)^(1/4))","B"
912,1,52,76,1.257127,"\text{Not used}","int(1/((e*x)^(13/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","-\frac{\sqrt{e\,x}\,\left(\frac{2}{11\,e^7}+\frac{2\,x^2}{77\,e^7}+\frac{16\,x^4}{231\,e^7}-\frac{64\,x^6}{231\,e^7}\right)}{x^6\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}}","Not used",1,"-((e*x)^(1/2)*(2/(11*e^7) + (2*x^2)/(77*e^7) + (16*x^4)/(231*e^7) - (64*x^6)/(231*e^7)))/(x^6*(1 - x)^(1/4)*(x + 1)^(1/4))","B"
913,0,-1,93,0.000000,"\text{Not used}","int((e*x)^(5/2)/((1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{{\left(e\,x\right)}^{5/2}}{{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int((e*x)^(5/2)/((1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
914,0,-1,60,0.000000,"\text{Not used}","int((e*x)^(1/2)/((1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{\sqrt{e\,x}}{{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int((e*x)^(1/2)/((1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
915,0,-1,42,0.000000,"\text{Not used}","int(1/((e*x)^(3/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{1}{{\left(e\,x\right)}^{3/2}\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int(1/((e*x)^(3/2)*(1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
916,0,-1,70,0.000000,"\text{Not used}","int(1/((e*x)^(7/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{1}{{\left(e\,x\right)}^{7/2}\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int(1/((e*x)^(7/2)*(1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
917,0,-1,95,0.000000,"\text{Not used}","int(1/((e*x)^(11/2)*(1 - x)^(1/4)*(x + 1)^(1/4)),x)","\int \frac{1}{{\left(e\,x\right)}^{11/2}\,{\left(1-x\right)}^{1/4}\,{\left(x+1\right)}^{1/4}} \,d x","Not used",1,"int(1/((e*x)^(11/2)*(1 - x)^(1/4)*(x + 1)^(1/4)), x)","F"
918,1,224,104,1.225428,"\text{Not used}","int(x^2*(a + b*x)^n*(c + d*x),x)","{\left(a+b\,x\right)}^n\,\left(\frac{d\,x^4\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}+\frac{2\,a^3\,\left(4\,b\,c-3\,a\,d+b\,c\,n\right)}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{x^3\,\left(4\,b\,c+a\,d\,n+b\,c\,n\right)\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{2\,a^2\,n\,x\,\left(4\,b\,c-3\,a\,d+b\,c\,n\right)}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x^2\,\left(n+1\right)\,\left(4\,b\,c-3\,a\,d+b\,c\,n\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)","Not used",1,"(a + b*x)^n*((d*x^4*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) + (2*a^3*(4*b*c - 3*a*d + b*c*n))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (x^3*(4*b*c + a*d*n + b*c*n)*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (2*a^2*n*x*(4*b*c - 3*a*d + b*c*n))/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x^2*(n + 1)*(4*b*c - 3*a*d + b*c*n))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)))","B"
919,1,146,74,1.116432,"\text{Not used}","int(x*(a + b*x)^n*(c + d*x),x)","{\left(a+b\,x\right)}^n\,\left(\frac{d\,x^3\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}-\frac{a^2\,\left(3\,b\,c-2\,a\,d+b\,c\,n\right)}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{x^2\,\left(n+1\right)\,\left(3\,b\,c+a\,d\,n+b\,c\,n\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,n\,x\,\left(3\,b\,c-2\,a\,d+b\,c\,n\right)}{b^2\,\left(n^3+6\,n^2+11\,n+6\right)}\right)","Not used",1,"(a + b*x)^n*((d*x^3*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) - (a^2*(3*b*c - 2*a*d + b*c*n))/(b^3*(11*n + 6*n^2 + n^3 + 6)) + (x^2*(n + 1)*(3*b*c + a*d*n + b*c*n))/(b*(11*n + 6*n^2 + n^3 + 6)) + (a*n*x*(3*b*c - 2*a*d + b*c*n))/(b^2*(11*n + 6*n^2 + n^3 + 6)))","B"
920,1,88,46,1.194391,"\text{Not used}","int((a + b*x)^n*(c + d*x),x)","{\left(a+b\,x\right)}^n\,\left(\frac{a\,\left(2\,b\,c-a\,d+b\,c\,n\right)}{b^2\,\left(n^2+3\,n+2\right)}+\frac{x\,\left(2\,b^2\,c+b^2\,c\,n+a\,b\,d\,n\right)}{b^2\,\left(n^2+3\,n+2\right)}+\frac{d\,x^2\,\left(n+1\right)}{n^2+3\,n+2}\right)","Not used",1,"(a + b*x)^n*((a*(2*b*c - a*d + b*c*n))/(b^2*(3*n + n^2 + 2)) + (x*(2*b^2*c + b^2*c*n + a*b*d*n))/(b^2*(3*n + n^2 + 2)) + (d*x^2*(n + 1))/(3*n + n^2 + 2))","B"
921,0,-1,56,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x))/x,x)","\int \frac{{\left(a+b\,x\right)}^n\,\left(c+d\,x\right)}{x} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x))/x, x)","F"
922,0,-1,62,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x))/x^2,x)","\int \frac{{\left(a+b\,x\right)}^n\,\left(c+d\,x\right)}{x^2} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x))/x^2, x)","F"
923,1,464,157,1.367197,"\text{Not used}","int(x^2*(a + b*x)^n*(c + d*x)^2,x)","{\left(a+b\,x\right)}^n\,\left(\frac{2\,a^3\,\left(12\,a^2\,d^2-6\,a\,b\,c\,d\,n-30\,a\,b\,c\,d+b^2\,c^2\,n^2+9\,b^2\,c^2\,n+20\,b^2\,c^2\right)}{b^5\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{d^2\,x^5\,\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{x^3\,\left(n^2+3\,n+2\right)\,\left(-4\,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)}{b^2\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{d\,x^4\,\left(10\,b\,c+a\,d\,n+2\,b\,c\,n\right)\,\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{2\,a^2\,n\,x\,\left(12\,a^2\,d^2-6\,a\,b\,c\,d\,n-30\,a\,b\,c\,d+b^2\,c^2\,n^2+9\,b^2\,c^2\,n+20\,b^2\,c^2\right)}{b^4\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{a\,n\,x^2\,\left(n+1\right)\,\left(12\,a^2\,d^2-6\,a\,b\,c\,d\,n-30\,a\,b\,c\,d+b^2\,c^2\,n^2+9\,b^2\,c^2\,n+20\,b^2\,c^2\right)}{b^3\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}\right)","Not used",1,"(a + b*x)^n*((2*a^3*(12*a^2*d^2 + 20*b^2*c^2 + 9*b^2*c^2*n + b^2*c^2*n^2 - 30*a*b*c*d - 6*a*b*c*d*n))/(b^5*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (d^2*x^5*(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) + (x^3*(3*n + n^2 + 2)*(20*b^2*c^2 - 4*a^2*d^2*n + 9*b^2*c^2*n + b^2*c^2*n^2 + 10*a*b*c*d*n + 2*a*b*c*d*n^2))/(b^2*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (d*x^4*(10*b*c + a*d*n + 2*b*c*n)*(11*n + 6*n^2 + n^3 + 6))/(b*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) - (2*a^2*n*x*(12*a^2*d^2 + 20*b^2*c^2 + 9*b^2*c^2*n + b^2*c^2*n^2 - 30*a*b*c*d - 6*a*b*c*d*n))/(b^4*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (a*n*x^2*(n + 1)*(12*a^2*d^2 + 20*b^2*c^2 + 9*b^2*c^2*n + b^2*c^2*n^2 - 30*a*b*c*d - 6*a*b*c*d*n))/(b^3*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)))","B"
924,1,335,114,1.215538,"\text{Not used}","int(x*(a + b*x)^n*(c + d*x)^2,x)","{\left(a+b\,x\right)}^n\,\left(\frac{d^2\,x^4\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}-\frac{a^2\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d\,n-16\,a\,b\,c\,d+b^2\,c^2\,n^2+7\,b^2\,c^2\,n+12\,b^2\,c^2\right)}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{x^2\,\left(n+1\right)\,\left(-3\,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)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d\,n-16\,a\,b\,c\,d+b^2\,c^2\,n^2+7\,b^2\,c^2\,n+12\,b^2\,c^2\right)}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{d\,x^3\,\left(8\,b\,c+a\,d\,n+2\,b\,c\,n\right)\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)","Not used",1,"(a + b*x)^n*((d^2*x^4*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) - (a^2*(6*a^2*d^2 + 12*b^2*c^2 + 7*b^2*c^2*n + b^2*c^2*n^2 - 16*a*b*c*d - 4*a*b*c*d*n))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (x^2*(n + 1)*(12*b^2*c^2 - 3*a^2*d^2*n + 7*b^2*c^2*n + b^2*c^2*n^2 + 8*a*b*c*d*n + 2*a*b*c*d*n^2))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x*(6*a^2*d^2 + 12*b^2*c^2 + 7*b^2*c^2*n + b^2*c^2*n^2 - 16*a*b*c*d - 4*a*b*c*d*n))/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (d*x^3*(8*b*c + a*d*n + 2*b*c*n)*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)))","B"
925,1,226,78,1.356551,"\text{Not used}","int((a + b*x)^n*(c + d*x)^2,x)","{\left(a+b\,x\right)}^n\,\left(\frac{a\,\left(2\,a^2\,d^2-2\,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)}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{d^2\,x^3\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}+\frac{x\,\left(-2\,a^2\,b\,d^2\,n+2\,a\,b^2\,c\,d\,n^2+6\,a\,b^2\,c\,d\,n+b^3\,c^2\,n^2+5\,b^3\,c^2\,n+6\,b^3\,c^2\right)}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{d\,x^2\,\left(n+1\right)\,\left(6\,b\,c+a\,d\,n+2\,b\,c\,n\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}\right)","Not used",1,"(a + b*x)^n*((a*(2*a^2*d^2 + 6*b^2*c^2 + 5*b^2*c^2*n + b^2*c^2*n^2 - 6*a*b*c*d - 2*a*b*c*d*n))/(b^3*(11*n + 6*n^2 + n^3 + 6)) + (d^2*x^3*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) + (x*(6*b^3*c^2 + 5*b^3*c^2*n + b^3*c^2*n^2 - 2*a^2*b*d^2*n + 2*a*b^2*c*d*n^2 + 6*a*b^2*c*d*n))/(b^3*(11*n + 6*n^2 + n^3 + 6)) + (d*x^2*(n + 1)*(6*b*c + a*d*n + 2*b*c*n))/(b*(11*n + 6*n^2 + n^3 + 6)))","B"
926,0,-1,88,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^2)/x,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^2}{x} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^2)/x, x)","F"
927,0,-1,87,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^2)/x^2,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^2}{x^2} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^2)/x^2, x)","F"
928,0,-1,124,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^2)/x^3,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^2}{x^3} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^2)/x^3, x)","F"
929,0,-1,130,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^2)/x^4,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^2}{x^4} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^2)/x^4, x)","F"
930,1,867,212,1.544698,"\text{Not used}","int(x^2*(a + b*x)^n*(c + d*x)^3,x)","\frac{d^3\,x^6\,{\left(a+b\,x\right)}^n\,\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{2\,a^3\,{\left(a+b\,x\right)}^n\,\left(-60\,a^3\,d^3+36\,a^2\,b\,c\,d^2\,n+216\,a^2\,b\,c\,d^2-9\,a\,b^2\,c^2\,d\,n^2-99\,a\,b^2\,c^2\,d\,n-270\,a\,b^2\,c^2\,d+b^3\,c^3\,n^3+15\,b^3\,c^3\,n^2+74\,b^3\,c^3\,n+120\,b^3\,c^3\right)}{b^6\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}+\frac{x^3\,{\left(a+b\,x\right)}^n\,\left(n^2+3\,n+2\right)\,\left(20\,a^3\,d^3\,n-12\,a^2\,b\,c\,d^2\,n^2-72\,a^2\,b\,c\,d^2\,n+3\,a\,b^2\,c^2\,d\,n^3+33\,a\,b^2\,c^2\,d\,n^2+90\,a\,b^2\,c^2\,d\,n+b^3\,c^3\,n^3+15\,b^3\,c^3\,n^2+74\,b^3\,c^3\,n+120\,b^3\,c^3\right)}{b^3\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}-\frac{2\,a^2\,n\,x\,{\left(a+b\,x\right)}^n\,\left(-60\,a^3\,d^3+36\,a^2\,b\,c\,d^2\,n+216\,a^2\,b\,c\,d^2-9\,a\,b^2\,c^2\,d\,n^2-99\,a\,b^2\,c^2\,d\,n-270\,a\,b^2\,c^2\,d+b^3\,c^3\,n^3+15\,b^3\,c^3\,n^2+74\,b^3\,c^3\,n+120\,b^3\,c^3\right)}{b^5\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}+\frac{d^2\,x^5\,{\left(a+b\,x\right)}^n\,\left(18\,b\,c+a\,d\,n+3\,b\,c\,n\right)\,\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{d\,x^4\,{\left(a+b\,x\right)}^n\,\left(n^3+6\,n^2+11\,n+6\right)\,\left(-5\,a^2\,d^2\,n+3\,a\,b\,c\,d\,n^2+18\,a\,b\,c\,d\,n+3\,b^2\,c^2\,n^2+33\,b^2\,c^2\,n+90\,b^2\,c^2\right)}{b^2\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}+\frac{a\,n\,x^2\,\left(n+1\right)\,{\left(a+b\,x\right)}^n\,\left(-60\,a^3\,d^3+36\,a^2\,b\,c\,d^2\,n+216\,a^2\,b\,c\,d^2-9\,a\,b^2\,c^2\,d\,n^2-99\,a\,b^2\,c^2\,d\,n-270\,a\,b^2\,c^2\,d+b^3\,c^3\,n^3+15\,b^3\,c^3\,n^2+74\,b^3\,c^3\,n+120\,b^3\,c^3\right)}{b^4\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}","Not used",1,"(d^3*x^6*(a + b*x)^n*(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) + (2*a^3*(a + b*x)^n*(120*b^3*c^3 - 60*a^3*d^3 + 74*b^3*c^3*n + 15*b^3*c^3*n^2 + b^3*c^3*n^3 - 270*a*b^2*c^2*d + 216*a^2*b*c*d^2 - 99*a*b^2*c^2*d*n + 36*a^2*b*c*d^2*n - 9*a*b^2*c^2*d*n^2))/(b^6*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) + (x^3*(a + b*x)^n*(3*n + n^2 + 2)*(120*b^3*c^3 + 20*a^3*d^3*n + 74*b^3*c^3*n + 15*b^3*c^3*n^2 + b^3*c^3*n^3 + 90*a*b^2*c^2*d*n - 72*a^2*b*c*d^2*n + 33*a*b^2*c^2*d*n^2 - 12*a^2*b*c*d^2*n^2 + 3*a*b^2*c^2*d*n^3))/(b^3*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) - (2*a^2*n*x*(a + b*x)^n*(120*b^3*c^3 - 60*a^3*d^3 + 74*b^3*c^3*n + 15*b^3*c^3*n^2 + b^3*c^3*n^3 - 270*a*b^2*c^2*d + 216*a^2*b*c*d^2 - 99*a*b^2*c^2*d*n + 36*a^2*b*c*d^2*n - 9*a*b^2*c^2*d*n^2))/(b^5*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) + (d^2*x^5*(a + b*x)^n*(18*b*c + a*d*n + 3*b*c*n)*(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)) + (d*x^4*(a + b*x)^n*(11*n + 6*n^2 + n^3 + 6)*(90*b^2*c^2 - 5*a^2*d^2*n + 33*b^2*c^2*n + 3*b^2*c^2*n^2 + 18*a*b*c*d*n + 3*a*b*c*d*n^2))/(b^2*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) + (a*n*x^2*(n + 1)*(a + b*x)^n*(120*b^3*c^3 - 60*a^3*d^3 + 74*b^3*c^3*n + 15*b^3*c^3*n^2 + b^3*c^3*n^3 - 270*a*b^2*c^2*d + 216*a^2*b*c*d^2 - 99*a*b^2*c^2*d*n + 36*a^2*b*c*d^2*n - 9*a*b^2*c^2*d*n^2))/(b^4*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720))","B"
931,1,663,154,1.356376,"\text{Not used}","int(x*(a + b*x)^n*(c + d*x)^3,x)","\frac{d^3\,x^5\,{\left(a+b\,x\right)}^n\,\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{a^2\,{\left(a+b\,x\right)}^n\,\left(-24\,a^3\,d^3+18\,a^2\,b\,c\,d^2\,n+90\,a^2\,b\,c\,d^2-6\,a\,b^2\,c^2\,d\,n^2-54\,a\,b^2\,c^2\,d\,n-120\,a\,b^2\,c^2\,d+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)}{b^5\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{x^2\,\left(n+1\right)\,{\left(a+b\,x\right)}^n\,\left(12\,a^3\,d^3\,n-9\,a^2\,b\,c\,d^2\,n^2-45\,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)}{b^3\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{d^2\,x^4\,{\left(a+b\,x\right)}^n\,\left(15\,b\,c+a\,d\,n+3\,b\,c\,n\right)\,\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{d\,x^3\,{\left(a+b\,x\right)}^n\,\left(n^2+3\,n+2\right)\,\left(-4\,a^2\,d^2\,n+3\,a\,b\,c\,d\,n^2+15\,a\,b\,c\,d\,n+3\,b^2\,c^2\,n^2+27\,b^2\,c^2\,n+60\,b^2\,c^2\right)}{b^2\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{a\,n\,x\,{\left(a+b\,x\right)}^n\,\left(-24\,a^3\,d^3+18\,a^2\,b\,c\,d^2\,n+90\,a^2\,b\,c\,d^2-6\,a\,b^2\,c^2\,d\,n^2-54\,a\,b^2\,c^2\,d\,n-120\,a\,b^2\,c^2\,d+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)}{b^4\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}","Not used",1,"(d^3*x^5*(a + b*x)^n*(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) - (a^2*(a + b*x)^n*(60*b^3*c^3 - 24*a^3*d^3 + 47*b^3*c^3*n + 12*b^3*c^3*n^2 + b^3*c^3*n^3 - 120*a*b^2*c^2*d + 90*a^2*b*c*d^2 - 54*a*b^2*c^2*d*n + 18*a^2*b*c*d^2*n - 6*a*b^2*c^2*d*n^2))/(b^5*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (x^2*(n + 1)*(a + b*x)^n*(60*b^3*c^3 + 12*a^3*d^3*n + 47*b^3*c^3*n + 12*b^3*c^3*n^2 + b^3*c^3*n^3 + 60*a*b^2*c^2*d*n - 45*a^2*b*c*d^2*n + 27*a*b^2*c^2*d*n^2 - 9*a^2*b*c*d^2*n^2 + 3*a*b^2*c^2*d*n^3))/(b^3*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (d^2*x^4*(a + b*x)^n*(15*b*c + a*d*n + 3*b*c*n)*(11*n + 6*n^2 + n^3 + 6))/(b*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (d*x^3*(a + b*x)^n*(3*n + n^2 + 2)*(60*b^2*c^2 - 4*a^2*d^2*n + 27*b^2*c^2*n + 3*b^2*c^2*n^2 + 15*a*b*c*d*n + 3*a*b*c*d*n^2))/(b^2*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (a*n*x*(a + b*x)^n*(60*b^3*c^3 - 24*a^3*d^3 + 47*b^3*c^3*n + 12*b^3*c^3*n^2 + b^3*c^3*n^3 - 120*a*b^2*c^2*d + 90*a^2*b*c*d^2 - 54*a*b^2*c^2*d*n + 18*a^2*b*c*d^2*n - 6*a*b^2*c^2*d*n^2))/(b^4*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120))","B"
932,1,478,110,1.450272,"\text{Not used}","int((a + b*x)^n*(c + d*x)^3,x)","\frac{x\,{\left(a+b\,x\right)}^n\,\left(6\,a^3\,b\,d^3\,n-6\,a^2\,b^2\,c\,d^2\,n^2-24\,a^2\,b^2\,c\,d^2\,n+3\,a\,b^3\,c^2\,d\,n^3+21\,a\,b^3\,c^2\,d\,n^2+36\,a\,b^3\,c^2\,d\,n+b^4\,c^3\,n^3+9\,b^4\,c^3\,n^2+26\,b^4\,c^3\,n+24\,b^4\,c^3\right)}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{d^3\,x^4\,{\left(a+b\,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{a\,{\left(a+b\,x\right)}^n\,\left(-6\,a^3\,d^3+6\,a^2\,b\,c\,d^2\,n+24\,a^2\,b\,c\,d^2-3\,a\,b^2\,c^2\,d\,n^2-21\,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)}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{3\,d\,x^2\,\left(n+1\right)\,{\left(a+b\,x\right)}^n\,\left(-a^2\,d^2\,n+a\,b\,c\,d\,n^2+4\,a\,b\,c\,d\,n+b^2\,c^2\,n^2+7\,b^2\,c^2\,n+12\,b^2\,c^2\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{d^2\,x^3\,{\left(a+b\,x\right)}^n\,\left(12\,b\,c+a\,d\,n+3\,b\,c\,n\right)\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}","Not used",1,"(x*(a + b*x)^n*(24*b^4*c^3 + 26*b^4*c^3*n + 9*b^4*c^3*n^2 + b^4*c^3*n^3 + 6*a^3*b*d^3*n + 36*a*b^3*c^2*d*n - 24*a^2*b^2*c*d^2*n + 21*a*b^3*c^2*d*n^2 + 3*a*b^3*c^2*d*n^3 - 6*a^2*b^2*c*d^2*n^2))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (d^3*x^4*(a + b*x)^n*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) + (a*(a + b*x)^n*(24*b^3*c^3 - 6*a^3*d^3 + 26*b^3*c^3*n + 9*b^3*c^3*n^2 + b^3*c^3*n^3 - 36*a*b^2*c^2*d + 24*a^2*b*c*d^2 - 21*a*b^2*c^2*d*n + 6*a^2*b*c*d^2*n - 3*a*b^2*c^2*d*n^2))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (3*d*x^2*(n + 1)*(a + b*x)^n*(12*b^2*c^2 - a^2*d^2*n + 7*b^2*c^2*n + b^2*c^2*n^2 + 4*a*b*c*d*n + a*b*c*d*n^2))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (d^2*x^3*(a + b*x)^n*(12*b*c + a*d*n + 3*b*c*n)*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))","B"
933,0,-1,131,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^3)/x,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^3}{x} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^3)/x, x)","F"
934,0,-1,143,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^3)/x^2,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^3}{x^2} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^3)/x^2, x)","F"
935,0,-1,176,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^3)/x^3,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^3}{x^3} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^3)/x^3, x)","F"
936,1,41,22,1.172445,"\text{Not used}","int(x^(2*n + 1)*(2*a + 3*b*x)*(a + b*x)^n,x)","\left(\frac{a\,x\,x^{2\,n+1}}{n+1}+\frac{b\,x^{2\,n+1}\,x^2}{n+1}\right)\,{\left(a+b\,x\right)}^n","Not used",1,"((a*x*x^(2*n + 1))/(n + 1) + (b*x^(2*n + 1)*x^2)/(n + 1))*(a + b*x)^n","B"
937,0,-1,108,0.000000,"\text{Not used}","int((x^2*(a + b*x)^n)/(c + d*x),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^n}{c+d\,x} \,d x","Not used",1,"int((x^2*(a + b*x)^n)/(c + d*x), x)","F"
938,0,-1,78,0.000000,"\text{Not used}","int((x*(a + b*x)^n)/(c + d*x),x)","\int \frac{x\,{\left(a+b\,x\right)}^n}{c+d\,x} \,d x","Not used",1,"int((x*(a + b*x)^n)/(c + d*x), x)","F"
939,0,-1,51,0.000000,"\text{Not used}","int((a + b*x)^n/(c + d*x),x)","\int \frac{{\left(a+b\,x\right)}^n}{c+d\,x} \,d x","Not used",1,"int((a + b*x)^n/(c + d*x), x)","F"
940,0,-1,95,0.000000,"\text{Not used}","int((a + b*x)^n/(x*(c + d*x)),x)","\int \frac{{\left(a+b\,x\right)}^n}{x\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*x)^n/(x*(c + d*x)), x)","F"
941,0,-1,124,0.000000,"\text{Not used}","int((a + b*x)^n/(x^2*(c + d*x)),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^2\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*x)^n/(x^2*(c + d*x)), x)","F"
942,0,-1,203,0.000000,"\text{Not used}","int((x^3*(a + b*x)^n)/(c + d*x)^2,x)","\int \frac{x^3\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((x^3*(a + b*x)^n)/(c + d*x)^2, x)","F"
943,0,-1,122,0.000000,"\text{Not used}","int((x^2*(a + b*x)^n)/(c + d*x)^2,x)","\int \frac{x^2\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((x^2*(a + b*x)^n)/(c + d*x)^2, x)","F"
944,0,-1,99,0.000000,"\text{Not used}","int((x*(a + b*x)^n)/(c + d*x)^2,x)","\int \frac{x\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((x*(a + b*x)^n)/(c + d*x)^2, x)","F"
945,0,-1,52,0.000000,"\text{Not used}","int((a + b*x)^n/(c + d*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b*x)^n/(c + d*x)^2, x)","F"
946,0,-1,139,0.000000,"\text{Not used}","int((a + b*x)^n/(x*(c + d*x)^2),x)","\int \frac{{\left(a+b\,x\right)}^n}{x\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b*x)^n/(x*(c + d*x)^2), x)","F"
947,0,-1,190,0.000000,"\text{Not used}","int((a + b*x)^n/(x^2*(c + d*x)^2),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^2\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b*x)^n/(x^2*(c + d*x)^2), x)","F"
948,0,-1,195,0.000000,"\text{Not used}","int((e + f*x)^2*(b*x)^(5/2)*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^2\,{\left(b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^2*(b*x)^(5/2)*(c + d*x)^n, x)","F"
949,0,-1,107,0.000000,"\text{Not used}","int((e + f*x)*(b*x)^(5/2)*(c + d*x)^n,x)","\int \left(e+f\,x\right)\,{\left(b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)*(b*x)^(5/2)*(c + d*x)^n, x)","F"
950,0,-1,61,0.000000,"\text{Not used}","int(((b*x)^(5/2)*(c + d*x)^n)/(e + f*x),x)","\int \frac{{\left(b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^n}{e+f\,x} \,d x","Not used",1,"int(((b*x)^(5/2)*(c + d*x)^n)/(e + f*x), x)","F"
951,0,-1,61,0.000000,"\text{Not used}","int(((b*x)^(5/2)*(c + d*x)^n)/(e + f*x)^2,x)","\int \frac{{\left(b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((b*x)^(5/2)*(c + d*x)^n)/(e + f*x)^2, x)","F"
952,0,-1,209,0.000000,"\text{Not used}","int((e + f*x)^2*(b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^2\,{\left(b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^2*(b*x)^m*(c + d*x)^n, x)","F"
953,0,-1,108,0.000000,"\text{Not used}","int((e + f*x)*(b*x)^m*(c + d*x)^n,x)","\int \left(e+f\,x\right)\,{\left(b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)*(b*x)^m*(c + d*x)^n, x)","F"
954,0,-1,63,0.000000,"\text{Not used}","int(((b*x)^m*(c + d*x)^n)/(e + f*x),x)","\int \frac{{\left(b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{e+f\,x} \,d x","Not used",1,"int(((b*x)^m*(c + d*x)^n)/(e + f*x), x)","F"
955,0,-1,63,0.000000,"\text{Not used}","int(((b*x)^m*(c + d*x)^n)/(e + f*x)^2,x)","\int \frac{{\left(b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((b*x)^m*(c + d*x)^n)/(e + f*x)^2, x)","F"
956,0,-1,81,0.000000,"\text{Not used}","int((e + f*x)^p*(b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(b*x)^m*(c + d*x)^n, x)","F"
957,0,-1,211,0.000000,"\text{Not used}","int((e*x)^m*(a + b*x)^n*(a - b*x)^(n + 2),x)","\int {\left(e\,x\right)}^m\,{\left(a+b\,x\right)}^n\,{\left(a-b\,x\right)}^{n+2} \,d x","Not used",1,"int((e*x)^m*(a + b*x)^n*(a - b*x)^(n + 2), x)","F"
958,0,-1,206,0.000000,"\text{Not used}","int(x^2*(a + b*x)^n*(c + d*x)^p,x)","\int x^2\,{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^p \,d x","Not used",1,"int(x^2*(a + b*x)^n*(c + d*x)^p, x)","F"
959,0,-1,117,0.000000,"\text{Not used}","int(x*(a + b*x)^n*(c + d*x)^p,x)","\int x\,{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^p \,d x","Not used",1,"int(x*(a + b*x)^n*(c + d*x)^p, x)","F"
960,0,-1,61,0.000000,"\text{Not used}","int((a + b*x)^n*(c + d*x)^p,x)","\int {\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^p \,d x","Not used",1,"int((a + b*x)^n*(c + d*x)^p, x)","F"
961,0,-1,85,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^p)/x,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^p}{x} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^p)/x, x)","F"
962,0,-1,85,0.000000,"\text{Not used}","int(((a + b*x)^n*(c + d*x)^p)/x^2,x)","\int \frac{{\left(a+b\,x\right)}^n\,{\left(c+d\,x\right)}^p}{x^2} \,d x","Not used",1,"int(((a + b*x)^n*(c + d*x)^p)/x^2, x)","F"
963,0,-1,79,0.000000,"\text{Not used}","int((e + f*x)^p*(b*x)^(3/2)*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(b*x)^(3/2)*(c + d*x)^n, x)","F"
964,0,-1,79,0.000000,"\text{Not used}","int((e + f*x)^p*(b*x)^(1/2)*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,\sqrt{b\,x}\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(b*x)^(1/2)*(c + d*x)^n, x)","F"
965,0,-1,77,0.000000,"\text{Not used}","int(((e + f*x)^p*(c + d*x)^n)/(b*x)^(1/2),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(c+d\,x\right)}^n}{\sqrt{b\,x}} \,d x","Not used",1,"int(((e + f*x)^p*(c + d*x)^n)/(b*x)^(1/2), x)","F"
966,0,-1,49,0.000000,"\text{Not used}","int((exp(1) + f*x)^p*(b*x)^m*(Pi + d*x)^n,x)","\int {\left(\mathrm{e}+f\,x\right)}^p\,{\left(b\,x\right)}^m\,{\left(\Pi +d\,x\right)}^n \,d x","Not used",1,"int((exp(1) + f*x)^p*(b*x)^m*(Pi + d*x)^n, x)","F"
967,0,-1,65,0.000000,"\text{Not used}","int((e + f*x)^p*(b*x)^m*(Pi + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(b\,x\right)}^m\,{\left(\Pi +d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(b*x)^m*(Pi + d*x)^n, x)","F"
968,0,-1,47,0.000000,"\text{Not used}","int((exp(1) + f*x)^p*(b*x)^(5/2)*(Pi + d*x)^n,x)","\int {\left(\mathrm{e}+f\,x\right)}^p\,{\left(b\,x\right)}^{5/2}\,{\left(\Pi +d\,x\right)}^n \,d x","Not used",1,"int((exp(1) + f*x)^p*(b*x)^(5/2)*(Pi + d*x)^n, x)","F"
969,0,-1,63,0.000000,"\text{Not used}","int((e + f*x)^p*(b*x)^(5/2)*(Pi + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(b\,x\right)}^{5/2}\,{\left(\Pi +d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(b*x)^(5/2)*(Pi + d*x)^n, x)","F"
970,0,-1,295,0.000000,"\text{Not used}","int((x^3*(a + b*x)^n)/(c + d*x)^n,x)","\int \frac{x^3\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((x^3*(a + b*x)^n)/(c + d*x)^n, x)","F"
971,0,-1,199,0.000000,"\text{Not used}","int((x^2*(a + b*x)^n)/(c + d*x)^n,x)","\int \frac{x^2\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((x^2*(a + b*x)^n)/(c + d*x)^n, x)","F"
972,0,-1,124,0.000000,"\text{Not used}","int((x*(a + b*x)^n)/(c + d*x)^n,x)","\int \frac{x\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((x*(a + b*x)^n)/(c + d*x)^n, x)","F"
973,0,-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"
974,0,-1,108,0.000000,"\text{Not used}","int((a + b*x)^n/(x*(c + d*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^n}{x\,{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(x*(c + d*x)^n), x)","F"
975,0,-1,62,0.000000,"\text{Not used}","int((a + b*x)^n/(x^2*(c + d*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^2\,{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(x^2*(c + d*x)^n), x)","F"
976,0,-1,117,0.000000,"\text{Not used}","int((a + b*x)^n/(x^3*(c + d*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^3\,{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(x^3*(c + d*x)^n), x)","F"
977,0,-1,194,0.000000,"\text{Not used}","int((a + b*x)^n/(x^4*(c + d*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^4\,{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(x^4*(c + d*x)^n), x)","F"
978,0,-1,105,0.000000,"\text{Not used}","int((x^3*(1 - x)^n)/(x + 1)^n,x)","\int \frac{x^3\,{\left(1-x\right)}^n}{{\left(x+1\right)}^n} \,d x","Not used",1,"int((x^3*(1 - x)^n)/(x + 1)^n, x)","F"
979,0,-1,94,0.000000,"\text{Not used}","int((x^2*(1 - x)^n)/(x + 1)^n,x)","\int \frac{x^2\,{\left(1-x\right)}^n}{{\left(x+1\right)}^n} \,d x","Not used",1,"int((x^2*(1 - x)^n)/(x + 1)^n, x)","F"
980,0,-1,61,0.000000,"\text{Not used}","int((x*(1 - x)^n)/(x + 1)^n,x)","\int \frac{x\,{\left(1-x\right)}^n}{{\left(x+1\right)}^n} \,d x","Not used",1,"int((x*(1 - x)^n)/(x + 1)^n, x)","F"
981,0,-1,38,0.000000,"\text{Not used}","int((1 - x)^n/(x + 1)^n,x)","\int \frac{{\left(1-x\right)}^n}{{\left(x+1\right)}^n} \,d x","Not used",1,"int((1 - x)^n/(x + 1)^n, x)","F"
982,0,-1,68,0.000000,"\text{Not used}","int((1 - x)^n/(x*(x + 1)^n),x)","\int \frac{{\left(1-x\right)}^n}{x\,{\left(x+1\right)}^n} \,d x","Not used",1,"int((1 - x)^n/(x*(x + 1)^n), x)","F"
983,0,-1,44,0.000000,"\text{Not used}","int((1 - x)^n/(x^2*(x + 1)^n),x)","\int \frac{{\left(1-x\right)}^n}{x^2\,{\left(x+1\right)}^n} \,d x","Not used",1,"int((1 - x)^n/(x^2*(x + 1)^n), x)","F"
984,0,-1,71,0.000000,"\text{Not used}","int((1 - x)^n/(x^3*(x + 1)^n),x)","\int \frac{{\left(1-x\right)}^n}{x^3\,{\left(x+1\right)}^n} \,d x","Not used",1,"int((1 - x)^n/(x^3*(x + 1)^n), x)","F"
985,0,-1,105,0.000000,"\text{Not used}","int((1 - x)^n/(x^4*(x + 1)^n),x)","\int \frac{{\left(1-x\right)}^n}{x^4\,{\left(x+1\right)}^n} \,d x","Not used",1,"int((1 - x)^n/(x^4*(x + 1)^n), x)","F"
986,0,-1,36,0.000000,"\text{Not used}","int(x^m*(1 - a*x)^n*(a*x + 1)^n,x)","\int x^m\,{\left(1-a\,x\right)}^n\,{\left(a\,x+1\right)}^n \,d x","Not used",1,"int(x^m*(1 - a*x)^n*(a*x + 1)^n, x)","F"
987,0,-1,39,0.000000,"\text{Not used}","int(x^m*(1 - a*x)^n*(2*a*x + 2)^n,x)","\int x^m\,{\left(1-a\,x\right)}^n\,{\left(2\,a\,x+2\right)}^n \,d x","Not used",1,"int(x^m*(1 - a*x)^n*(2*a*x + 2)^n, x)","F"
988,0,-1,42,0.000000,"\text{Not used}","int(x^m*(2 - a*x)^n*(a*x + 2)^n,x)","\int x^m\,{\left(2-a\,x\right)}^n\,{\left(a\,x+2\right)}^n \,d x","Not used",1,"int(x^m*(2 - a*x)^n*(a*x + 2)^n, x)","F"
989,0,-1,42,0.000000,"\text{Not used}","int(x^m*(a*x + 2)^n*(1 - (a*x)/2)^n,x)","\int x^m\,{\left(a\,x+2\right)}^n\,{\left(1-\frac{a\,x}{2}\right)}^n \,d x","Not used",1,"int(x^m*(a*x + 2)^n*(1 - (a*x)/2)^n, x)","F"
990,0,-1,151,0.000000,"\text{Not used}","int(x^m*(3 - 2*a*x)^(n + 2)*(4*a*x + 6)^n,x)","\int x^m\,{\left(3-2\,a\,x\right)}^{n+2}\,{\left(4\,a\,x+6\right)}^n \,d x","Not used",1,"int(x^m*(3 - 2*a*x)^(n + 2)*(4*a*x + 6)^n, x)","F"
991,0,-1,99,0.000000,"\text{Not used}","int(x^m*(3 - 2*a*x)^(n + 1)*(4*a*x + 6)^n,x)","\int x^m\,{\left(3-2\,a\,x\right)}^{n+1}\,{\left(4\,a\,x+6\right)}^n \,d x","Not used",1,"int(x^m*(3 - 2*a*x)^(n + 1)*(4*a*x + 6)^n, x)","F"
992,0,-1,42,0.000000,"\text{Not used}","int(x^m*(3 - 2*a*x)^n*(4*a*x + 6)^n,x)","\int x^m\,{\left(3-2\,a\,x\right)}^n\,{\left(4\,a\,x+6\right)}^n \,d x","Not used",1,"int(x^m*(3 - 2*a*x)^n*(4*a*x + 6)^n, x)","F"
993,0,-1,104,0.000000,"\text{Not used}","int(x^m*(3 - 2*a*x)^(n - 1)*(4*a*x + 6)^n,x)","\int x^m\,{\left(3-2\,a\,x\right)}^{n-1}\,{\left(4\,a\,x+6\right)}^n \,d x","Not used",1,"int(x^m*(3 - 2*a*x)^(n - 1)*(4*a*x + 6)^n, x)","F"
994,0,-1,158,0.000000,"\text{Not used}","int(x^m*(3 - 2*a*x)^(n - 2)*(4*a*x + 6)^n,x)","\int x^m\,{\left(3-2\,a\,x\right)}^{n-2}\,{\left(4\,a\,x+6\right)}^n \,d x","Not used",1,"int(x^m*(3 - 2*a*x)^(n - 2)*(4*a*x + 6)^n, x)","F"
995,0,-1,79,0.000000,"\text{Not used}","int(x^m*(a + b*x)^(n + 1)*(c + d*x)^n,x)","\int x^m\,{\left(a+b\,x\right)}^{n+1}\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int(x^m*(a + b*x)^(n + 1)*(c + d*x)^n, x)","F"
996,0,-1,79,0.000000,"\text{Not used}","int((f*x)^p*(a - x)^m*(c + d*x)^n,x)","\int {\left(f\,x\right)}^p\,{\left(a-x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((f*x)^p*(a - x)^m*(c + d*x)^n, x)","F"
997,0,-1,83,0.000000,"\text{Not used}","int(((1 - x)^(p - 1/2)*(x + 1)^(p + 1/2))/(c*x)^(2*p + 2),x)","\int \frac{{\left(1-x\right)}^{p-\frac{1}{2}}\,{\left(x+1\right)}^{p+\frac{1}{2}}}{{\left(c\,x\right)}^{2\,p+2}} \,d x","Not used",1,"int(((1 - x)^(p - 1/2)*(x + 1)^(p + 1/2))/(c*x)^(2*p + 2), x)","F"
998,0,-1,70,0.000000,"\text{Not used}","int((x/a + 1)^(n/2)/(x^2*(1 - x/a)^(n/2)),x)","\int \frac{{\left(\frac{x}{a}+1\right)}^{n/2}}{x^2\,{\left(1-\frac{x}{a}\right)}^{n/2}} \,d x","Not used",1,"int((x/a + 1)^(n/2)/(x^2*(1 - x/a)^(n/2)), x)","F"
999,0,-1,50,0.000000,"\text{Not used}","int(((1 - a*x)^m*(a*x + 1)^m)/(b*x)^(2*m + 2),x)","\int \frac{{\left(1-a\,x\right)}^m\,{\left(a\,x+1\right)}^m}{{\left(b\,x\right)}^{2\,m+2}} \,d x","Not used",1,"int(((1 - a*x)^m*(a*x + 1)^m)/(b*x)^(2*m + 2), x)","F"
1000,0,-1,86,0.000000,"\text{Not used}","int((a*x + 1)^n/(x*(1 - a*x)^n),x)","\int \frac{{\left(a\,x+1\right)}^n}{x\,{\left(1-a\,x\right)}^n} \,d x","Not used",1,"int((a*x + 1)^n/(x*(1 - a*x)^n), x)","F"
1001,0,-1,106,0.000000,"\text{Not used}","int(((1 - a*x)^(1 - n)*(a*x + 1)^(n + 1))/x^2,x)","\int \frac{{\left(1-a\,x\right)}^{1-n}\,{\left(a\,x+1\right)}^{n+1}}{x^2} \,d x","Not used",1,"int(((1 - a*x)^(1 - n)*(a*x + 1)^(n + 1))/x^2, x)","F"
1002,1,70,28,0.516132,"\text{Not used}","int(-x^2/((a*x - 1)^7*(a*x + 1)^4),x)","-\frac{\frac{x}{8\,a^2}-\frac{1}{24\,a^3}}{-a^9\,x^9+3\,a^8\,x^8-8\,a^6\,x^6+6\,a^5\,x^5+6\,a^4\,x^4-8\,a^3\,x^3+3\,a\,x-1}","Not used",1,"-(x/(8*a^2) - 1/(24*a^3))/(3*a*x - 8*a^3*x^3 + 6*a^4*x^4 + 6*a^5*x^5 - 8*a^6*x^6 + 3*a^8*x^8 - a^9*x^9 - 1)","B"
1003,1,124,28,4.327247,"\text{Not used}","int(-x^2/((a*x - 1)^11*(a*x + 1)^7),x)","\frac{\frac{x}{15\,a^2}-\frac{1}{60\,a^3}}{a^{16}\,x^{16}-4\,a^{15}\,x^{15}+20\,a^{13}\,x^{13}-20\,a^{12}\,x^{12}-36\,a^{11}\,x^{11}+64\,a^{10}\,x^{10}+20\,a^9\,x^9-90\,a^8\,x^8+20\,a^7\,x^7+64\,a^6\,x^6-36\,a^5\,x^5-20\,a^4\,x^4+20\,a^3\,x^3-4\,a\,x+1}","Not used",1,"(x/(15*a^2) - 1/(60*a^3))/(20*a^3*x^3 - 4*a*x - 20*a^4*x^4 - 36*a^5*x^5 + 64*a^6*x^6 + 20*a^7*x^7 - 90*a^8*x^8 + 20*a^9*x^9 + 64*a^10*x^10 - 36*a^11*x^11 - 20*a^12*x^12 + 20*a^13*x^13 - 4*a^15*x^15 + a^16*x^16 + 1)","B"
1004,1,197,28,88.865093,"\text{Not used}","int(x^2/((a*x - 1)^16*(a*x + 1)^11),x)","-\frac{\frac{x}{24\,a^2}-\frac{1}{120\,a^3}}{a^{25}\,x^{25}-5\,a^{24}\,x^{24}+40\,a^{22}\,x^{22}-50\,a^{21}\,x^{21}-126\,a^{20}\,x^{20}+280\,a^{19}\,x^{19}+160\,a^{18}\,x^{18}-765\,a^{17}\,x^{17}+105\,a^{16}\,x^{16}+1248\,a^{15}\,x^{15}-720\,a^{14}\,x^{14}-1260\,a^{13}\,x^{13}+1260\,a^{12}\,x^{12}+720\,a^{11}\,x^{11}-1248\,a^{10}\,x^{10}-105\,a^9\,x^9+765\,a^8\,x^8-160\,a^7\,x^7-280\,a^6\,x^6+126\,a^5\,x^5+50\,a^4\,x^4-40\,a^3\,x^3+5\,a\,x-1}","Not used",1,"-(x/(24*a^2) - 1/(120*a^3))/(5*a*x - 40*a^3*x^3 + 50*a^4*x^4 + 126*a^5*x^5 - 280*a^6*x^6 - 160*a^7*x^7 + 765*a^8*x^8 - 105*a^9*x^9 - 1248*a^10*x^10 + 720*a^11*x^11 + 1260*a^12*x^12 - 1260*a^13*x^13 - 720*a^14*x^14 + 1248*a^15*x^15 + 105*a^16*x^16 - 765*a^17*x^17 + 160*a^18*x^18 + 280*a^19*x^19 - 126*a^20*x^20 - 50*a^21*x^21 + 40*a^22*x^22 - 5*a^24*x^24 + a^25*x^25 - 1)","B"
1005,1,140,54,1.310078,"\text{Not used}","int(x^2/((1 - a*x)^((n*(n + 1))/2 + 1)*(a*x + 1)^((n*(n - 1))/2 + 1)),x)","-\frac{\frac{x^3}{\left(n^2-1\right)\,{\left(a\,x+1\right)}^{\frac{n\,\left(n-1\right)}{2}+1}}-\frac{x}{a^2\,\left(n^2-1\right)\,{\left(a\,x+1\right)}^{\frac{n\,\left(n-1\right)}{2}+1}}+\frac{1}{a^3\,n\,\left(n^2-1\right)\,{\left(a\,x+1\right)}^{\frac{n\,\left(n-1\right)}{2}+1}}-\frac{x^2}{a\,n\,\left(n^2-1\right)\,{\left(a\,x+1\right)}^{\frac{n\,\left(n-1\right)}{2}+1}}}{{\left(1-a\,x\right)}^{\frac{n\,\left(n+1\right)}{2}+1}}","Not used",1,"-(x^3/((n^2 - 1)*(a*x + 1)^((n*(n - 1))/2 + 1)) - x/(a^2*(n^2 - 1)*(a*x + 1)^((n*(n - 1))/2 + 1)) + 1/(a^3*n*(n^2 - 1)*(a*x + 1)^((n*(n - 1))/2 + 1)) - x^2/(a*n*(n^2 - 1)*(a*x + 1)^((n*(n - 1))/2 + 1)))/(1 - a*x)^((n*(n + 1))/2 + 1)","B"
1006,0,-1,142,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(x*(a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{x\,{\left(a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(x*(a - b*x)^n), x)","F"
1007,0,-1,140,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(x^2*(a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{x^2\,{\left(a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(x^2*(a - b*x)^n), x)","F"
1008,0,-1,62,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(x^3*(a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{x^3\,{\left(a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(x^3*(a - b*x)^n), x)","F"
1009,0,-1,101,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(x^4*(a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{x^4\,{\left(a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(x^4*(a - b*x)^n), x)","F"
1010,0,-1,139,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(x^5*(a - b*x)^n),x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{x^5\,{\left(a-b\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(x^5*(a - b*x)^n), x)","F"
1011,1,182,77,1.093480,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^4,x)","x^3\,\left(\frac{B\,b\,d^4}{3}+\frac{4\,A\,b\,d^3\,e}{3}+\frac{4\,B\,a\,d^3\,e}{3}+2\,A\,a\,d^2\,e^2\right)+x^5\,\left(\frac{A\,a\,e^4}{5}+\frac{4\,A\,b\,d\,e^3}{5}+\frac{4\,B\,a\,d\,e^3}{5}+\frac{6\,B\,b\,d^2\,e^2}{5}\right)+x^2\,\left(\frac{A\,b\,d^4}{2}+\frac{B\,a\,d^4}{2}+2\,A\,a\,d^3\,e\right)+x^6\,\left(\frac{A\,b\,e^4}{6}+\frac{B\,a\,e^4}{6}+\frac{2\,B\,b\,d\,e^3}{3}\right)+A\,a\,d^4\,x+\frac{d\,e\,x^4\,\left(2\,A\,a\,e^2+2\,B\,b\,d^2+3\,A\,b\,d\,e+3\,B\,a\,d\,e\right)}{2}+\frac{B\,b\,e^4\,x^7}{7}","Not used",1,"x^3*((B*b*d^4)/3 + (4*A*b*d^3*e)/3 + (4*B*a*d^3*e)/3 + 2*A*a*d^2*e^2) + x^5*((A*a*e^4)/5 + (4*A*b*d*e^3)/5 + (4*B*a*d*e^3)/5 + (6*B*b*d^2*e^2)/5) + x^2*((A*b*d^4)/2 + (B*a*d^4)/2 + 2*A*a*d^3*e) + x^6*((A*b*e^4)/6 + (B*a*e^4)/6 + (2*B*b*d*e^3)/3) + A*a*d^4*x + (d*e*x^4*(2*A*a*e^2 + 2*B*b*d^2 + 3*A*b*d*e + 3*B*a*d*e))/2 + (B*b*e^4*x^7)/7","B"
1012,1,141,77,1.072080,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^3,x)","x^2\,\left(\frac{A\,b\,d^3}{2}+\frac{B\,a\,d^3}{2}+\frac{3\,A\,a\,d^2\,e}{2}\right)+x^5\,\left(\frac{A\,b\,e^3}{5}+\frac{B\,a\,e^3}{5}+\frac{3\,B\,b\,d\,e^2}{5}\right)+x^3\,\left(\frac{B\,b\,d^3}{3}+A\,a\,d\,e^2+A\,b\,d^2\,e+B\,a\,d^2\,e\right)+x^4\,\left(\frac{A\,a\,e^3}{4}+\frac{3\,A\,b\,d\,e^2}{4}+\frac{3\,B\,a\,d\,e^2}{4}+\frac{3\,B\,b\,d^2\,e}{4}\right)+A\,a\,d^3\,x+\frac{B\,b\,e^3\,x^6}{6}","Not used",1,"x^2*((A*b*d^3)/2 + (B*a*d^3)/2 + (3*A*a*d^2*e)/2) + x^5*((A*b*e^3)/5 + (B*a*e^3)/5 + (3*B*b*d*e^2)/5) + x^3*((B*b*d^3)/3 + A*a*d*e^2 + A*b*d^2*e + B*a*d^2*e) + x^4*((A*a*e^3)/4 + (3*A*b*d*e^2)/4 + (3*B*a*d*e^2)/4 + (3*B*b*d^2*e)/4) + A*a*d^3*x + (B*b*e^3*x^6)/6","B"
1013,1,98,77,0.041399,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^2,x)","x^3\,\left(\frac{A\,a\,e^2}{3}+\frac{B\,b\,d^2}{3}+\frac{2\,A\,b\,d\,e}{3}+\frac{2\,B\,a\,d\,e}{3}\right)+x^2\,\left(\frac{A\,b\,d^2}{2}+\frac{B\,a\,d^2}{2}+A\,a\,d\,e\right)+x^4\,\left(\frac{A\,b\,e^2}{4}+\frac{B\,a\,e^2}{4}+\frac{B\,b\,d\,e}{2}\right)+A\,a\,d^2\,x+\frac{B\,b\,e^2\,x^5}{5}","Not used",1,"x^3*((A*a*e^2)/3 + (B*b*d^2)/3 + (2*A*b*d*e)/3 + (2*B*a*d*e)/3) + x^2*((A*b*d^2)/2 + (B*a*d^2)/2 + A*a*d*e) + x^4*((A*b*e^2)/4 + (B*a*e^2)/4 + (B*b*d*e)/2) + A*a*d^2*x + (B*b*e^2*x^5)/5","B"
1014,1,54,56,0.047352,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x),x)","\frac{B\,b\,e\,x^4}{4}+\left(\frac{A\,b\,e}{3}+\frac{B\,a\,e}{3}+\frac{B\,b\,d}{3}\right)\,x^3+\left(\frac{A\,a\,e}{2}+\frac{A\,b\,d}{2}+\frac{B\,a\,d}{2}\right)\,x^2+A\,a\,d\,x","Not used",1,"x^2*((A*a*e)/2 + (A*b*d)/2 + (B*a*d)/2) + x^3*((A*b*e)/3 + (B*a*e)/3 + (B*b*d)/3) + (B*b*e*x^4)/4 + A*a*d*x","B"
1015,1,25,28,1.037165,"\text{Not used}","int((A + B*x)*(a + b*x),x)","\frac{B\,b\,x^3}{3}+\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)\,x^2+A\,a\,x","Not used",1,"x^2*((A*b)/2 + (B*a)/2) + A*a*x + (B*b*x^3)/3","B"
1016,1,68,60,0.085610,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x),x)","x\,\left(\frac{A\,b+B\,a}{e}-\frac{B\,b\,d}{e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(A\,a\,e^2+B\,b\,d^2-A\,b\,d\,e-B\,a\,d\,e\right)}{e^3}+\frac{B\,b\,x^2}{2\,e}","Not used",1,"x*((A*b + B*a)/e - (B*b*d)/e^2) + (log(d + e*x)*(A*a*e^2 + B*b*d^2 - A*b*d*e - B*a*d*e))/e^3 + (B*b*x^2)/(2*e)","B"
1017,1,75,63,1.091819,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^2,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{e^3}-\frac{A\,a\,e^2+B\,b\,d^2-A\,b\,d\,e-B\,a\,d\,e}{e\,\left(x\,e^3+d\,e^2\right)}+\frac{B\,b\,x}{e^2}","Not used",1,"(log(d + e*x)*(A*b*e + B*a*e - 2*B*b*d))/e^3 - (A*a*e^2 + B*b*d^2 - A*b*d*e - B*a*d*e)/(e*(d*e^2 + e^3*x)) + (B*b*x)/e^2","B"
1018,1,82,70,1.090869,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^3,x)","\frac{B\,b\,\ln\left(d+e\,x\right)}{e^3}-\frac{\frac{A\,a\,e^2-3\,B\,b\,d^2+A\,b\,d\,e+B\,a\,d\,e}{2\,e^3}+\frac{x\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{e^2}}{d^2+2\,d\,e\,x+e^2\,x^2}","Not used",1,"(B*b*log(d + e*x))/e^3 - ((A*a*e^2 - 3*B*b*d^2 + A*b*d*e + B*a*d*e)/(2*e^3) + (x*(A*b*e + B*a*e - 2*B*b*d))/e^2)/(d^2 + e^2*x^2 + 2*d*e*x)","B"
1019,1,91,75,0.051911,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^4,x)","-\frac{\frac{2\,A\,a\,e^2+2\,B\,b\,d^2+A\,b\,d\,e+B\,a\,d\,e}{6\,e^3}+\frac{x\,\left(A\,b\,e+B\,a\,e+2\,B\,b\,d\right)}{2\,e^2}+\frac{B\,b\,x^2}{e}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}","Not used",1,"-((2*A*a*e^2 + 2*B*b*d^2 + A*b*d*e + B*a*d*e)/(6*e^3) + (x*(A*b*e + B*a*e + 2*B*b*d))/(2*e^2) + (B*b*x^2)/e)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1020,1,101,77,1.061141,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^5,x)","-\frac{\frac{3\,A\,a\,e^2+B\,b\,d^2+A\,b\,d\,e+B\,a\,d\,e}{12\,e^3}+\frac{x\,\left(A\,b\,e+B\,a\,e+B\,b\,d\right)}{3\,e^2}+\frac{B\,b\,x^2}{2\,e}}{d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4}","Not used",1,"-((3*A*a*e^2 + B*b*d^2 + A*b*d*e + B*a*d*e)/(12*e^3) + (x*(A*b*e + B*a*e + B*b*d))/(3*e^2) + (B*b*x^2)/(2*e))/(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x)","B"
1021,1,118,77,1.066152,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^6,x)","-\frac{\frac{12\,A\,a\,e^2+2\,B\,b\,d^2+3\,A\,b\,d\,e+3\,B\,a\,d\,e}{60\,e^3}+\frac{x\,\left(3\,A\,b\,e+3\,B\,a\,e+2\,B\,b\,d\right)}{12\,e^2}+\frac{B\,b\,x^2}{3\,e}}{d^5+5\,d^4\,e\,x+10\,d^3\,e^2\,x^2+10\,d^2\,e^3\,x^3+5\,d\,e^4\,x^4+e^5\,x^5}","Not used",1,"-((12*A*a*e^2 + 2*B*b*d^2 + 3*A*b*d*e + 3*B*a*d*e)/(60*e^3) + (x*(3*A*b*e + 3*B*a*e + 2*B*b*d))/(12*e^2) + (B*b*x^2)/(3*e))/(d^5 + e^5*x^5 + 5*d*e^4*x^4 + 10*d^3*e^2*x^2 + 10*d^2*e^3*x^3 + 5*d^4*e*x)","B"
1022,1,305,120,0.130408,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^4,x)","x^4\,\left(\frac{3\,B\,a^2\,d^2\,e^2}{2}+A\,a^2\,d\,e^3+2\,B\,a\,b\,d^3\,e+3\,A\,a\,b\,d^2\,e^2+\frac{B\,b^2\,d^4}{4}+A\,b^2\,d^3\,e\right)+x^5\,\left(\frac{4\,B\,a^2\,d\,e^3}{5}+\frac{A\,a^2\,e^4}{5}+\frac{12\,B\,a\,b\,d^2\,e^2}{5}+\frac{8\,A\,a\,b\,d\,e^3}{5}+\frac{4\,B\,b^2\,d^3\,e}{5}+\frac{6\,A\,b^2\,d^2\,e^2}{5}\right)+x^3\,\left(\frac{4\,B\,a^2\,d^3\,e}{3}+2\,A\,a^2\,d^2\,e^2+\frac{2\,B\,a\,b\,d^4}{3}+\frac{8\,A\,a\,b\,d^3\,e}{3}+\frac{A\,b^2\,d^4}{3}\right)+x^6\,\left(\frac{B\,a^2\,e^4}{6}+\frac{4\,B\,a\,b\,d\,e^3}{3}+\frac{A\,a\,b\,e^4}{3}+B\,b^2\,d^2\,e^2+\frac{2\,A\,b^2\,d\,e^3}{3}\right)+A\,a^2\,d^4\,x+\frac{a\,d^3\,x^2\,\left(4\,A\,a\,e+2\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b\,e^3\,x^7\,\left(A\,b\,e+2\,B\,a\,e+4\,B\,b\,d\right)}{7}+\frac{B\,b^2\,e^4\,x^8}{8}","Not used",1,"x^4*((B*b^2*d^4)/4 + A*a^2*d*e^3 + A*b^2*d^3*e + (3*B*a^2*d^2*e^2)/2 + 2*B*a*b*d^3*e + 3*A*a*b*d^2*e^2) + x^5*((A*a^2*e^4)/5 + (4*B*a^2*d*e^3)/5 + (4*B*b^2*d^3*e)/5 + (6*A*b^2*d^2*e^2)/5 + (8*A*a*b*d*e^3)/5 + (12*B*a*b*d^2*e^2)/5) + x^3*((A*b^2*d^4)/3 + (2*B*a*b*d^4)/3 + (4*B*a^2*d^3*e)/3 + 2*A*a^2*d^2*e^2 + (8*A*a*b*d^3*e)/3) + x^6*((B*a^2*e^4)/6 + (A*a*b*e^4)/3 + (2*A*b^2*d*e^3)/3 + B*b^2*d^2*e^2 + (4*B*a*b*d*e^3)/3) + A*a^2*d^4*x + (a*d^3*x^2*(4*A*a*e + 2*A*b*d + B*a*d))/2 + (b*e^3*x^7*(A*b*e + 2*B*a*e + 4*B*b*d))/7 + (B*b^2*e^4*x^8)/8","B"
1023,1,231,120,0.087689,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^3,x)","x^4\,\left(\frac{3\,B\,a^2\,d\,e^2}{4}+\frac{A\,a^2\,e^3}{4}+\frac{3\,B\,a\,b\,d^2\,e}{2}+\frac{3\,A\,a\,b\,d\,e^2}{2}+\frac{B\,b^2\,d^3}{4}+\frac{3\,A\,b^2\,d^2\,e}{4}\right)+x^3\,\left(B\,a^2\,d^2\,e+A\,a^2\,d\,e^2+\frac{2\,B\,a\,b\,d^3}{3}+2\,A\,a\,b\,d^2\,e+\frac{A\,b^2\,d^3}{3}\right)+x^5\,\left(\frac{B\,a^2\,e^3}{5}+\frac{6\,B\,a\,b\,d\,e^2}{5}+\frac{2\,A\,a\,b\,e^3}{5}+\frac{3\,B\,b^2\,d^2\,e}{5}+\frac{3\,A\,b^2\,d\,e^2}{5}\right)+A\,a^2\,d^3\,x+\frac{a\,d^2\,x^2\,\left(3\,A\,a\,e+2\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b\,e^2\,x^6\,\left(A\,b\,e+2\,B\,a\,e+3\,B\,b\,d\right)}{6}+\frac{B\,b^2\,e^3\,x^7}{7}","Not used",1,"x^4*((A*a^2*e^3)/4 + (B*b^2*d^3)/4 + (3*A*b^2*d^2*e)/4 + (3*B*a^2*d*e^2)/4 + (3*A*a*b*d*e^2)/2 + (3*B*a*b*d^2*e)/2) + x^3*((A*b^2*d^3)/3 + (2*B*a*b*d^3)/3 + A*a^2*d*e^2 + B*a^2*d^2*e + 2*A*a*b*d^2*e) + x^5*((B*a^2*e^3)/5 + (2*A*a*b*e^3)/5 + (3*A*b^2*d*e^2)/5 + (3*B*b^2*d^2*e)/5 + (6*B*a*b*d*e^2)/5) + A*a^2*d^3*x + (a*d^2*x^2*(3*A*a*e + 2*A*b*d + B*a*d))/2 + (b*e^2*x^6*(A*b*e + 2*B*a*e + 3*B*b*d))/6 + (B*b^2*e^3*x^7)/7","B"
1024,1,157,118,1.073475,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^2,x)","x^3\,\left(\frac{2\,B\,a^2\,d\,e}{3}+\frac{A\,a^2\,e^2}{3}+\frac{2\,B\,a\,b\,d^2}{3}+\frac{4\,A\,a\,b\,d\,e}{3}+\frac{A\,b^2\,d^2}{3}\right)+x^4\,\left(\frac{B\,a^2\,e^2}{4}+B\,a\,b\,d\,e+\frac{A\,a\,b\,e^2}{2}+\frac{B\,b^2\,d^2}{4}+\frac{A\,b^2\,d\,e}{2}\right)+\frac{a\,d\,x^2\,\left(2\,A\,a\,e+2\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b\,e\,x^5\,\left(A\,b\,e+2\,B\,a\,e+2\,B\,b\,d\right)}{5}+A\,a^2\,d^2\,x+\frac{B\,b^2\,e^2\,x^6}{6}","Not used",1,"x^3*((A*a^2*e^2)/3 + (A*b^2*d^2)/3 + (2*B*a*b*d^2)/3 + (2*B*a^2*d*e)/3 + (4*A*a*b*d*e)/3) + x^4*((B*a^2*e^2)/4 + (B*b^2*d^2)/4 + (A*a*b*e^2)/2 + (A*b^2*d*e)/2 + B*a*b*d*e) + (a*d*x^2*(2*A*a*e + 2*A*b*d + B*a*d))/2 + (b*e*x^5*(A*b*e + 2*B*a*e + 2*B*b*d))/5 + A*a^2*d^2*x + (B*b^2*e^2*x^6)/6","B"
1025,1,98,75,0.045375,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x),x)","x^3\,\left(\frac{A\,b^2\,d}{3}+\frac{B\,a^2\,e}{3}+\frac{2\,A\,a\,b\,e}{3}+\frac{2\,B\,a\,b\,d}{3}\right)+x^2\,\left(\frac{A\,a^2\,e}{2}+\frac{B\,a^2\,d}{2}+A\,a\,b\,d\right)+x^4\,\left(\frac{A\,b^2\,e}{4}+\frac{B\,b^2\,d}{4}+\frac{B\,a\,b\,e}{2}\right)+A\,a^2\,d\,x+\frac{B\,b^2\,e\,x^5}{5}","Not used",1,"x^3*((A*b^2*d)/3 + (B*a^2*e)/3 + (2*A*a*b*e)/3 + (2*B*a*b*d)/3) + x^2*((A*a^2*e)/2 + (B*a^2*d)/2 + A*a*b*d) + x^4*((A*b^2*e)/4 + (B*b^2*d)/4 + (B*a*b*e)/2) + A*a^2*d*x + (B*b^2*e*x^5)/5","B"
1026,1,47,38,0.048313,"\text{Not used}","int((A + B*x)*(a + b*x)^2,x)","x^2\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)+x^3\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}\right)+\frac{B\,b^2\,x^4}{4}+A\,a^2\,x","Not used",1,"x^2*((B*a^2)/2 + A*a*b) + x^3*((A*b^2)/3 + (2*B*a*b)/3) + (B*b^2*x^4)/4 + A*a^2*x","B"
1027,1,159,92,1.067619,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x),x)","x\,\left(\frac{B\,a^2+2\,A\,b\,a}{e}-\frac{d\,\left(\frac{A\,b^2+2\,B\,a\,b}{e}-\frac{B\,b^2\,d}{e^2}\right)}{e}\right)+x^2\,\left(\frac{A\,b^2+2\,B\,a\,b}{2\,e}-\frac{B\,b^2\,d}{2\,e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^2\,d\,e^2+A\,a^2\,e^3+2\,B\,a\,b\,d^2\,e-2\,A\,a\,b\,d\,e^2-B\,b^2\,d^3+A\,b^2\,d^2\,e\right)}{e^4}+\frac{B\,b^2\,x^3}{3\,e}","Not used",1,"x*((B*a^2 + 2*A*a*b)/e - (d*((A*b^2 + 2*B*a*b)/e - (B*b^2*d)/e^2))/e) + x^2*((A*b^2 + 2*B*a*b)/(2*e) - (B*b^2*d)/(2*e^2)) + (log(d + e*x)*(A*a^2*e^3 - B*b^2*d^3 + A*b^2*d^2*e - B*a^2*d*e^2 - 2*A*a*b*d*e^2 + 2*B*a*b*d^2*e))/e^4 + (B*b^2*x^3)/(3*e)","B"
1028,1,165,101,1.092353,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^2,x)","x\,\left(\frac{A\,b^2+2\,B\,a\,b}{e^2}-\frac{2\,B\,b^2\,d}{e^3}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^2\,e^2-4\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+3\,B\,b^2\,d^2-2\,A\,b^2\,d\,e\right)}{e^4}-\frac{-B\,a^2\,d\,e^2+A\,a^2\,e^3+2\,B\,a\,b\,d^2\,e-2\,A\,a\,b\,d\,e^2-B\,b^2\,d^3+A\,b^2\,d^2\,e}{e\,\left(x\,e^4+d\,e^3\right)}+\frac{B\,b^2\,x^2}{2\,e^2}","Not used",1,"x*((A*b^2 + 2*B*a*b)/e^2 - (2*B*b^2*d)/e^3) + (log(d + e*x)*(B*a^2*e^2 + 3*B*b^2*d^2 + 2*A*a*b*e^2 - 2*A*b^2*d*e - 4*B*a*b*d*e))/e^4 - (A*a^2*e^3 - B*b^2*d^3 + A*b^2*d^2*e - B*a^2*d*e^2 - 2*A*a*b*d*e^2 + 2*B*a*b*d^2*e)/(e*(d*e^3 + e^4*x)) + (B*b^2*x^2)/(2*e^2)","B"
1029,1,170,106,1.133344,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^3,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,b^2\,e-3\,B\,b^2\,d+2\,B\,a\,b\,e\right)}{e^4}-\frac{x\,\left(B\,a^2\,e^2-4\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+3\,B\,b^2\,d^2-2\,A\,b^2\,d\,e\right)+\frac{B\,a^2\,d\,e^2+A\,a^2\,e^3-6\,B\,a\,b\,d^2\,e+2\,A\,a\,b\,d\,e^2+5\,B\,b^2\,d^3-3\,A\,b^2\,d^2\,e}{2\,e}}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}+\frac{B\,b^2\,x}{e^3}","Not used",1,"(log(d + e*x)*(A*b^2*e - 3*B*b^2*d + 2*B*a*b*e))/e^4 - (x*(B*a^2*e^2 + 3*B*b^2*d^2 + 2*A*a*b*e^2 - 2*A*b^2*d*e - 4*B*a*b*d*e) + (A*a^2*e^3 + 5*B*b^2*d^3 - 3*A*b^2*d^2*e + B*a^2*d*e^2 + 2*A*a*b*d*e^2 - 6*B*a*b*d^2*e)/(2*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x) + (B*b^2*x)/e^3","B"
1030,1,178,101,1.129407,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^4,x)","\frac{B\,b^2\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{B\,a^2\,d\,e^2+2\,A\,a^2\,e^3+4\,B\,a\,b\,d^2\,e+2\,A\,a\,b\,d\,e^2-11\,B\,b^2\,d^3+2\,A\,b^2\,d^2\,e}{6\,e^4}+\frac{x\,\left(B\,a^2\,e^2+4\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2-9\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{2\,e^3}+\frac{b\,x^2\,\left(A\,b\,e+2\,B\,a\,e-3\,B\,b\,d\right)}{e^2}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}","Not used",1,"(B*b^2*log(d + e*x))/e^4 - ((2*A*a^2*e^3 - 11*B*b^2*d^3 + 2*A*b^2*d^2*e + B*a^2*d*e^2 + 2*A*a*b*d*e^2 + 4*B*a*b*d^2*e)/(6*e^4) + (x*(B*a^2*e^2 - 9*B*b^2*d^2 + 2*A*a*b*e^2 + 2*A*b^2*d*e + 4*B*a*b*d*e))/(2*e^3) + (b*x^2*(A*b*e + 2*B*a*e - 3*B*b*d))/e^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1031,1,184,86,0.078002,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^5,x)","-\frac{\frac{B\,a^2\,d\,e^2+3\,A\,a^2\,e^3+2\,B\,a\,b\,d^2\,e+2\,A\,a\,b\,d\,e^2+3\,B\,b^2\,d^3+A\,b^2\,d^2\,e}{12\,e^4}+\frac{x\,\left(B\,a^2\,e^2+2\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+3\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{3\,e^3}+\frac{b\,x^2\,\left(A\,b\,e+2\,B\,a\,e+3\,B\,b\,d\right)}{2\,e^2}+\frac{B\,b^2\,x^3}{e}}{d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4}","Not used",1,"-((3*A*a^2*e^3 + 3*B*b^2*d^3 + A*b^2*d^2*e + B*a^2*d*e^2 + 2*A*a*b*d*e^2 + 2*B*a*b*d^2*e)/(12*e^4) + (x*(B*a^2*e^2 + 3*B*b^2*d^2 + 2*A*a*b*e^2 + A*b^2*d*e + 2*B*a*b*d*e))/(3*e^3) + (b*x^2*(A*b*e + 2*B*a*e + 3*B*b*d))/(2*e^2) + (B*b^2*x^3)/e)/(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x)","B"
1032,1,201,120,0.091928,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^6,x)","-\frac{\frac{3\,B\,a^2\,d\,e^2+12\,A\,a^2\,e^3+4\,B\,a\,b\,d^2\,e+6\,A\,a\,b\,d\,e^2+3\,B\,b^2\,d^3+2\,A\,b^2\,d^2\,e}{60\,e^4}+\frac{x\,\left(3\,B\,a^2\,e^2+4\,B\,a\,b\,d\,e+6\,A\,a\,b\,e^2+3\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{12\,e^3}+\frac{b\,x^2\,\left(2\,A\,b\,e+4\,B\,a\,e+3\,B\,b\,d\right)}{6\,e^2}+\frac{B\,b^2\,x^3}{2\,e}}{d^5+5\,d^4\,e\,x+10\,d^3\,e^2\,x^2+10\,d^2\,e^3\,x^3+5\,d\,e^4\,x^4+e^5\,x^5}","Not used",1,"-((12*A*a^2*e^3 + 3*B*b^2*d^3 + 2*A*b^2*d^2*e + 3*B*a^2*d*e^2 + 6*A*a*b*d*e^2 + 4*B*a*b*d^2*e)/(60*e^4) + (x*(3*B*a^2*e^2 + 3*B*b^2*d^2 + 6*A*a*b*e^2 + 2*A*b^2*d*e + 4*B*a*b*d*e))/(12*e^3) + (b*x^2*(2*A*b*e + 4*B*a*e + 3*B*b*d))/(6*e^2) + (B*b^2*x^3)/(2*e))/(d^5 + e^5*x^5 + 5*d*e^4*x^4 + 10*d^3*e^2*x^2 + 10*d^2*e^3*x^3 + 5*d^4*e*x)","B"
1033,1,206,120,1.101851,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^7,x)","-\frac{\frac{2\,B\,a^2\,d\,e^2+10\,A\,a^2\,e^3+2\,B\,a\,b\,d^2\,e+4\,A\,a\,b\,d\,e^2+B\,b^2\,d^3+A\,b^2\,d^2\,e}{60\,e^4}+\frac{x\,\left(2\,B\,a^2\,e^2+2\,B\,a\,b\,d\,e+4\,A\,a\,b\,e^2+B\,b^2\,d^2+A\,b^2\,d\,e\right)}{10\,e^3}+\frac{b\,x^2\,\left(A\,b\,e+2\,B\,a\,e+B\,b\,d\right)}{4\,e^2}+\frac{B\,b^2\,x^3}{3\,e}}{d^6+6\,d^5\,e\,x+15\,d^4\,e^2\,x^2+20\,d^3\,e^3\,x^3+15\,d^2\,e^4\,x^4+6\,d\,e^5\,x^5+e^6\,x^6}","Not used",1,"-((10*A*a^2*e^3 + B*b^2*d^3 + A*b^2*d^2*e + 2*B*a^2*d*e^2 + 4*A*a*b*d*e^2 + 2*B*a*b*d^2*e)/(60*e^4) + (x*(2*B*a^2*e^2 + B*b^2*d^2 + 4*A*a*b*e^2 + A*b^2*d*e + 2*B*a*b*d*e))/(10*e^3) + (b*x^2*(A*b*e + 2*B*a*e + B*b*d))/(4*e^2) + (B*b^2*x^3)/(3*e))/(d^6 + e^6*x^6 + 6*d*e^5*x^5 + 15*d^4*e^2*x^2 + 20*d^3*e^3*x^3 + 15*d^2*e^4*x^4 + 6*d^5*e*x)","B"
1034,1,223,120,1.096555,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^8,x)","-\frac{\frac{10\,B\,a^2\,d\,e^2+60\,A\,a^2\,e^3+8\,B\,a\,b\,d^2\,e+20\,A\,a\,b\,d\,e^2+3\,B\,b^2\,d^3+4\,A\,b^2\,d^2\,e}{420\,e^4}+\frac{x\,\left(10\,B\,a^2\,e^2+8\,B\,a\,b\,d\,e+20\,A\,a\,b\,e^2+3\,B\,b^2\,d^2+4\,A\,b^2\,d\,e\right)}{60\,e^3}+\frac{b\,x^2\,\left(4\,A\,b\,e+8\,B\,a\,e+3\,B\,b\,d\right)}{20\,e^2}+\frac{B\,b^2\,x^3}{4\,e}}{d^7+7\,d^6\,e\,x+21\,d^5\,e^2\,x^2+35\,d^4\,e^3\,x^3+35\,d^3\,e^4\,x^4+21\,d^2\,e^5\,x^5+7\,d\,e^6\,x^6+e^7\,x^7}","Not used",1,"-((60*A*a^2*e^3 + 3*B*b^2*d^3 + 4*A*b^2*d^2*e + 10*B*a^2*d*e^2 + 20*A*a*b*d*e^2 + 8*B*a*b*d^2*e)/(420*e^4) + (x*(10*B*a^2*e^2 + 3*B*b^2*d^2 + 20*A*a*b*e^2 + 4*A*b^2*d*e + 8*B*a*b*d*e))/(60*e^3) + (b*x^2*(4*A*b*e + 8*B*a*e + 3*B*b*d))/(20*e^2) + (B*b^2*x^3)/(4*e))/(d^7 + e^7*x^7 + 7*d*e^6*x^6 + 21*d^5*e^2*x^2 + 35*d^4*e^3*x^3 + 35*d^3*e^4*x^4 + 21*d^2*e^5*x^5 + 7*d^6*e*x)","B"
1035,1,544,163,1.198888,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^5,x)","x^3\,\left(\frac{5\,B\,a^3\,d^4\,e}{3}+\frac{10\,A\,a^3\,d^3\,e^2}{3}+B\,a^2\,b\,d^5+5\,A\,a^2\,b\,d^4\,e+A\,a\,b^2\,d^5\right)+x^8\,\left(\frac{3\,B\,a^2\,b\,e^5}{8}+\frac{15\,B\,a\,b^2\,d\,e^4}{8}+\frac{3\,A\,a\,b^2\,e^5}{8}+\frac{5\,B\,b^3\,d^2\,e^3}{4}+\frac{5\,A\,b^3\,d\,e^4}{8}\right)+x^4\,\left(\frac{5\,B\,a^3\,d^3\,e^2}{2}+\frac{5\,A\,a^3\,d^2\,e^3}{2}+\frac{15\,B\,a^2\,b\,d^4\,e}{4}+\frac{15\,A\,a^2\,b\,d^3\,e^2}{2}+\frac{3\,B\,a\,b^2\,d^5}{4}+\frac{15\,A\,a\,b^2\,d^4\,e}{4}+\frac{A\,b^3\,d^5}{4}\right)+x^7\,\left(\frac{B\,a^3\,e^5}{7}+\frac{15\,B\,a^2\,b\,d\,e^4}{7}+\frac{3\,A\,a^2\,b\,e^5}{7}+\frac{30\,B\,a\,b^2\,d^2\,e^3}{7}+\frac{15\,A\,a\,b^2\,d\,e^4}{7}+\frac{10\,B\,b^3\,d^3\,e^2}{7}+\frac{10\,A\,b^3\,d^2\,e^3}{7}\right)+x^5\,\left(2\,B\,a^3\,d^2\,e^3+A\,a^3\,d\,e^4+6\,B\,a^2\,b\,d^3\,e^2+6\,A\,a^2\,b\,d^2\,e^3+3\,B\,a\,b^2\,d^4\,e+6\,A\,a\,b^2\,d^3\,e^2+\frac{B\,b^3\,d^5}{5}+A\,b^3\,d^4\,e\right)+x^6\,\left(\frac{5\,B\,a^3\,d\,e^4}{6}+\frac{A\,a^3\,e^5}{6}+5\,B\,a^2\,b\,d^2\,e^3+\frac{5\,A\,a^2\,b\,d\,e^4}{2}+5\,B\,a\,b^2\,d^3\,e^2+5\,A\,a\,b^2\,d^2\,e^3+\frac{5\,B\,b^3\,d^4\,e}{6}+\frac{5\,A\,b^3\,d^3\,e^2}{3}\right)+\frac{a^2\,d^4\,x^2\,\left(5\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^2\,e^4\,x^9\,\left(A\,b\,e+3\,B\,a\,e+5\,B\,b\,d\right)}{9}+A\,a^3\,d^5\,x+\frac{B\,b^3\,e^5\,x^{10}}{10}","Not used",1,"x^3*(A*a*b^2*d^5 + B*a^2*b*d^5 + (5*B*a^3*d^4*e)/3 + (10*A*a^3*d^3*e^2)/3 + 5*A*a^2*b*d^4*e) + x^8*((3*A*a*b^2*e^5)/8 + (3*B*a^2*b*e^5)/8 + (5*A*b^3*d*e^4)/8 + (5*B*b^3*d^2*e^3)/4 + (15*B*a*b^2*d*e^4)/8) + x^4*((A*b^3*d^5)/4 + (3*B*a*b^2*d^5)/4 + (5*A*a^3*d^2*e^3)/2 + (5*B*a^3*d^3*e^2)/2 + (15*A*a^2*b*d^3*e^2)/2 + (15*A*a*b^2*d^4*e)/4 + (15*B*a^2*b*d^4*e)/4) + x^7*((B*a^3*e^5)/7 + (3*A*a^2*b*e^5)/7 + (10*A*b^3*d^2*e^3)/7 + (10*B*b^3*d^3*e^2)/7 + (30*B*a*b^2*d^2*e^3)/7 + (15*A*a*b^2*d*e^4)/7 + (15*B*a^2*b*d*e^4)/7) + x^5*((B*b^3*d^5)/5 + A*a^3*d*e^4 + A*b^3*d^4*e + 2*B*a^3*d^2*e^3 + 6*A*a*b^2*d^3*e^2 + 6*A*a^2*b*d^2*e^3 + 6*B*a^2*b*d^3*e^2 + 3*B*a*b^2*d^4*e) + x^6*((A*a^3*e^5)/6 + (5*B*a^3*d*e^4)/6 + (5*B*b^3*d^4*e)/6 + (5*A*b^3*d^3*e^2)/3 + 5*A*a*b^2*d^2*e^3 + 5*B*a*b^2*d^3*e^2 + 5*B*a^2*b*d^2*e^3 + (5*A*a^2*b*d*e^4)/2) + (a^2*d^4*x^2*(5*A*a*e + 3*A*b*d + B*a*d))/2 + (b^2*e^4*x^9*(A*b*e + 3*B*a*e + 5*B*b*d))/9 + A*a^3*d^5*x + (B*b^3*e^5*x^10)/10","B"
1036,1,439,163,1.172750,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^4,x)","x^3\,\left(\frac{4\,B\,a^3\,d^3\,e}{3}+2\,A\,a^3\,d^2\,e^2+B\,a^2\,b\,d^4+4\,A\,a^2\,b\,d^3\,e+A\,a\,b^2\,d^4\right)+x^7\,\left(\frac{3\,B\,a^2\,b\,e^4}{7}+\frac{12\,B\,a\,b^2\,d\,e^3}{7}+\frac{3\,A\,a\,b^2\,e^4}{7}+\frac{6\,B\,b^3\,d^2\,e^2}{7}+\frac{4\,A\,b^3\,d\,e^3}{7}\right)+x^5\,\left(\frac{4\,B\,a^3\,d\,e^3}{5}+\frac{A\,a^3\,e^4}{5}+\frac{18\,B\,a^2\,b\,d^2\,e^2}{5}+\frac{12\,A\,a^2\,b\,d\,e^3}{5}+\frac{12\,B\,a\,b^2\,d^3\,e}{5}+\frac{18\,A\,a\,b^2\,d^2\,e^2}{5}+\frac{B\,b^3\,d^4}{5}+\frac{4\,A\,b^3\,d^3\,e}{5}\right)+x^4\,\left(\frac{3\,B\,a^3\,d^2\,e^2}{2}+A\,a^3\,d\,e^3+3\,B\,a^2\,b\,d^3\,e+\frac{9\,A\,a^2\,b\,d^2\,e^2}{2}+\frac{3\,B\,a\,b^2\,d^4}{4}+3\,A\,a\,b^2\,d^3\,e+\frac{A\,b^3\,d^4}{4}\right)+x^6\,\left(\frac{B\,a^3\,e^4}{6}+2\,B\,a^2\,b\,d\,e^3+\frac{A\,a^2\,b\,e^4}{2}+3\,B\,a\,b^2\,d^2\,e^2+2\,A\,a\,b^2\,d\,e^3+\frac{2\,B\,b^3\,d^3\,e}{3}+A\,b^3\,d^2\,e^2\right)+\frac{a^2\,d^3\,x^2\,\left(4\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^2\,e^3\,x^8\,\left(A\,b\,e+3\,B\,a\,e+4\,B\,b\,d\right)}{8}+A\,a^3\,d^4\,x+\frac{B\,b^3\,e^4\,x^9}{9}","Not used",1,"x^3*(A*a*b^2*d^4 + B*a^2*b*d^4 + (4*B*a^3*d^3*e)/3 + 2*A*a^3*d^2*e^2 + 4*A*a^2*b*d^3*e) + x^7*((3*A*a*b^2*e^4)/7 + (3*B*a^2*b*e^4)/7 + (4*A*b^3*d*e^3)/7 + (6*B*b^3*d^2*e^2)/7 + (12*B*a*b^2*d*e^3)/7) + x^5*((A*a^3*e^4)/5 + (B*b^3*d^4)/5 + (4*A*b^3*d^3*e)/5 + (4*B*a^3*d*e^3)/5 + (18*A*a*b^2*d^2*e^2)/5 + (18*B*a^2*b*d^2*e^2)/5 + (12*A*a^2*b*d*e^3)/5 + (12*B*a*b^2*d^3*e)/5) + x^4*((A*b^3*d^4)/4 + (3*B*a*b^2*d^4)/4 + A*a^3*d*e^3 + (3*B*a^3*d^2*e^2)/2 + (9*A*a^2*b*d^2*e^2)/2 + 3*A*a*b^2*d^3*e + 3*B*a^2*b*d^3*e) + x^6*((B*a^3*e^4)/6 + (A*a^2*b*e^4)/2 + (2*B*b^3*d^3*e)/3 + A*b^3*d^2*e^2 + 3*B*a*b^2*d^2*e^2 + 2*A*a*b^2*d*e^3 + 2*B*a^2*b*d*e^3) + (a^2*d^3*x^2*(4*A*a*e + 3*A*b*d + B*a*d))/2 + (b^2*e^3*x^8*(A*b*e + 3*B*a*e + 4*B*b*d))/8 + A*a^3*d^4*x + (B*b^3*e^4*x^9)/9","B"
1037,1,334,159,0.104978,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^3,x)","x^3\,\left(B\,a^3\,d^2\,e+A\,a^3\,d\,e^2+B\,a^2\,b\,d^3+3\,A\,a^2\,b\,d^2\,e+A\,a\,b^2\,d^3\right)+x^6\,\left(\frac{B\,a^2\,b\,e^3}{2}+\frac{3\,B\,a\,b^2\,d\,e^2}{2}+\frac{A\,a\,b^2\,e^3}{2}+\frac{B\,b^3\,d^2\,e}{2}+\frac{A\,b^3\,d\,e^2}{2}\right)+x^4\,\left(\frac{3\,B\,a^3\,d\,e^2}{4}+\frac{A\,a^3\,e^3}{4}+\frac{9\,B\,a^2\,b\,d^2\,e}{4}+\frac{9\,A\,a^2\,b\,d\,e^2}{4}+\frac{3\,B\,a\,b^2\,d^3}{4}+\frac{9\,A\,a\,b^2\,d^2\,e}{4}+\frac{A\,b^3\,d^3}{4}\right)+x^5\,\left(\frac{B\,a^3\,e^3}{5}+\frac{9\,B\,a^2\,b\,d\,e^2}{5}+\frac{3\,A\,a^2\,b\,e^3}{5}+\frac{9\,B\,a\,b^2\,d^2\,e}{5}+\frac{9\,A\,a\,b^2\,d\,e^2}{5}+\frac{B\,b^3\,d^3}{5}+\frac{3\,A\,b^3\,d^2\,e}{5}\right)+\frac{a^2\,d^2\,x^2\,\left(3\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^2\,e^2\,x^7\,\left(A\,b\,e+3\,B\,a\,e+3\,B\,b\,d\right)}{7}+A\,a^3\,d^3\,x+\frac{B\,b^3\,e^3\,x^8}{8}","Not used",1,"x^3*(A*a*b^2*d^3 + B*a^2*b*d^3 + A*a^3*d*e^2 + B*a^3*d^2*e + 3*A*a^2*b*d^2*e) + x^6*((A*a*b^2*e^3)/2 + (B*a^2*b*e^3)/2 + (A*b^3*d*e^2)/2 + (B*b^3*d^2*e)/2 + (3*B*a*b^2*d*e^2)/2) + x^4*((A*a^3*e^3)/4 + (A*b^3*d^3)/4 + (3*B*a*b^2*d^3)/4 + (3*B*a^3*d*e^2)/4 + (9*A*a*b^2*d^2*e)/4 + (9*A*a^2*b*d*e^2)/4 + (9*B*a^2*b*d^2*e)/4) + x^5*((B*a^3*e^3)/5 + (B*b^3*d^3)/5 + (3*A*a^2*b*e^3)/5 + (3*A*b^3*d^2*e)/5 + (9*A*a*b^2*d*e^2)/5 + (9*B*a*b^2*d^2*e)/5 + (9*B*a^2*b*d*e^2)/5) + (a^2*d^2*x^2*(3*A*a*e + 3*A*b*d + B*a*d))/2 + (b^2*e^2*x^7*(A*b*e + 3*B*a*e + 3*B*b*d))/7 + A*a^3*d^3*x + (B*b^3*e^3*x^8)/8","B"
1038,1,231,118,1.069191,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^2,x)","x^4\,\left(\frac{B\,a^3\,e^2}{4}+\frac{3\,B\,a^2\,b\,d\,e}{2}+\frac{3\,A\,a^2\,b\,e^2}{4}+\frac{3\,B\,a\,b^2\,d^2}{4}+\frac{3\,A\,a\,b^2\,d\,e}{2}+\frac{A\,b^3\,d^2}{4}\right)+x^3\,\left(\frac{2\,B\,a^3\,d\,e}{3}+\frac{A\,a^3\,e^2}{3}+B\,a^2\,b\,d^2+2\,A\,a^2\,b\,d\,e+A\,a\,b^2\,d^2\right)+x^5\,\left(\frac{3\,B\,a^2\,b\,e^2}{5}+\frac{6\,B\,a\,b^2\,d\,e}{5}+\frac{3\,A\,a\,b^2\,e^2}{5}+\frac{B\,b^3\,d^2}{5}+\frac{2\,A\,b^3\,d\,e}{5}\right)+A\,a^3\,d^2\,x+\frac{a^2\,d\,x^2\,\left(2\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^2\,e\,x^6\,\left(A\,b\,e+3\,B\,a\,e+2\,B\,b\,d\right)}{6}+\frac{B\,b^3\,e^2\,x^7}{7}","Not used",1,"x^4*((A*b^3*d^2)/4 + (B*a^3*e^2)/4 + (3*A*a^2*b*e^2)/4 + (3*B*a*b^2*d^2)/4 + (3*A*a*b^2*d*e)/2 + (3*B*a^2*b*d*e)/2) + x^3*((A*a^3*e^2)/3 + (2*B*a^3*d*e)/3 + A*a*b^2*d^2 + B*a^2*b*d^2 + 2*A*a^2*b*d*e) + x^5*((B*b^3*d^2)/5 + (2*A*b^3*d*e)/5 + (3*A*a*b^2*e^2)/5 + (3*B*a^2*b*e^2)/5 + (6*B*a*b^2*d*e)/5) + A*a^3*d^2*x + (a^2*d*x^2*(2*A*a*e + 3*A*b*d + B*a*d))/2 + (b^2*e*x^6*(A*b*e + 3*B*a*e + 2*B*b*d))/6 + (B*b^3*e^2*x^7)/7","B"
1039,1,141,75,0.068924,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x),x)","x^2\,\left(\frac{A\,a^3\,e}{2}+\frac{B\,a^3\,d}{2}+\frac{3\,A\,a^2\,b\,d}{2}\right)+x^5\,\left(\frac{A\,b^3\,e}{5}+\frac{B\,b^3\,d}{5}+\frac{3\,B\,a\,b^2\,e}{5}\right)+x^3\,\left(\frac{B\,a^3\,e}{3}+A\,a\,b^2\,d+A\,a^2\,b\,e+B\,a^2\,b\,d\right)+x^4\,\left(\frac{A\,b^3\,d}{4}+\frac{3\,A\,a\,b^2\,e}{4}+\frac{3\,B\,a\,b^2\,d}{4}+\frac{3\,B\,a^2\,b\,e}{4}\right)+A\,a^3\,d\,x+\frac{B\,b^3\,e\,x^6}{6}","Not used",1,"x^2*((A*a^3*e)/2 + (B*a^3*d)/2 + (3*A*a^2*b*d)/2) + x^5*((A*b^3*e)/5 + (B*b^3*d)/5 + (3*B*a*b^2*e)/5) + x^3*((B*a^3*e)/3 + A*a*b^2*d + A*a^2*b*e + B*a^2*b*d) + x^4*((A*b^3*d)/4 + (3*A*a*b^2*e)/4 + (3*B*a*b^2*d)/4 + (3*B*a^2*b*e)/4) + A*a^3*d*x + (B*b^3*e*x^6)/6","B"
1040,1,65,38,0.033783,"\text{Not used}","int((A + B*x)*(a + b*x)^3,x)","x^2\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+x^4\,\left(\frac{A\,b^3}{4}+\frac{3\,B\,a\,b^2}{4}\right)+\frac{B\,b^3\,x^5}{5}+A\,a^3\,x+a\,b\,x^3\,\left(A\,b+B\,a\right)","Not used",1,"x^2*((B*a^3)/2 + (3*A*a^2*b)/2) + x^4*((A*b^3)/4 + (3*B*a*b^2)/4) + (B*b^3*x^5)/5 + A*a^3*x + a*b*x^3*(A*b + B*a)","B"
1041,1,268,124,1.081927,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x),x)","x\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{e}-\frac{B\,b^3\,d}{e^2}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{e}\right)}{e}\right)+x^3\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{3\,e}-\frac{B\,b^3\,d}{3\,e^2}\right)-x^2\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{e}-\frac{B\,b^3\,d}{e^2}\right)}{2\,e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{2\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^3\,d\,e^3+A\,a^3\,e^4+3\,B\,a^2\,b\,d^2\,e^2-3\,A\,a^2\,b\,d\,e^3-3\,B\,a\,b^2\,d^3\,e+3\,A\,a\,b^2\,d^2\,e^2+B\,b^3\,d^4-A\,b^3\,d^3\,e\right)}{e^5}+\frac{B\,b^3\,x^4}{4\,e}","Not used",1,"x*((B*a^3 + 3*A*a^2*b)/e + (d*((d*((A*b^3 + 3*B*a*b^2)/e - (B*b^3*d)/e^2))/e - (3*a*b*(A*b + B*a))/e))/e) + x^3*((A*b^3 + 3*B*a*b^2)/(3*e) - (B*b^3*d)/(3*e^2)) - x^2*((d*((A*b^3 + 3*B*a*b^2)/e - (B*b^3*d)/e^2))/(2*e) - (3*a*b*(A*b + B*a))/(2*e)) + (log(d + e*x)*(A*a^3*e^4 + B*b^3*d^4 - A*b^3*d^3*e - B*a^3*d*e^3 + 3*A*a*b^2*d^2*e^2 + 3*B*a^2*b*d^2*e^2 - 3*A*a^2*b*d*e^3 - 3*B*a*b^2*d^3*e))/e^5 + (B*b^3*x^4)/(4*e)","B"
1042,1,293,150,1.110164,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^2,x)","x^2\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{2\,e^2}-\frac{B\,b^3\,d}{e^3}\right)-x\,\left(\frac{2\,d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{e^2}-\frac{2\,B\,b^3\,d}{e^3}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{e^2}+\frac{B\,b^3\,d^2}{e^4}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^3\,e^3-6\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+9\,B\,a\,b^2\,d^2\,e-6\,A\,a\,b^2\,d\,e^2-4\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{e^5}-\frac{-B\,a^3\,d\,e^3+A\,a^3\,e^4+3\,B\,a^2\,b\,d^2\,e^2-3\,A\,a^2\,b\,d\,e^3-3\,B\,a\,b^2\,d^3\,e+3\,A\,a\,b^2\,d^2\,e^2+B\,b^3\,d^4-A\,b^3\,d^3\,e}{e\,\left(x\,e^5+d\,e^4\right)}+\frac{B\,b^3\,x^3}{3\,e^2}","Not used",1,"x^2*((A*b^3 + 3*B*a*b^2)/(2*e^2) - (B*b^3*d)/e^3) - x*((2*d*((A*b^3 + 3*B*a*b^2)/e^2 - (2*B*b^3*d)/e^3))/e - (3*a*b*(A*b + B*a))/e^2 + (B*b^3*d^2)/e^4) + (log(d + e*x)*(B*a^3*e^3 - 4*B*b^3*d^3 + 3*A*a^2*b*e^3 + 3*A*b^3*d^2*e - 6*A*a*b^2*d*e^2 + 9*B*a*b^2*d^2*e - 6*B*a^2*b*d*e^2))/e^5 - (A*a^3*e^4 + B*b^3*d^4 - A*b^3*d^3*e - B*a^3*d*e^3 + 3*A*a*b^2*d^2*e^2 + 3*B*a^2*b*d^2*e^2 - 3*A*a^2*b*d*e^3 - 3*B*a*b^2*d^3*e)/(e*(d*e^4 + e^5*x)) + (B*b^3*x^3)/(3*e^2)","B"
1043,1,290,145,1.135840,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^3,x)","x\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{e^3}-\frac{3\,B\,b^3\,d}{e^4}\right)-\frac{\frac{B\,a^3\,d\,e^3+A\,a^3\,e^4-9\,B\,a^2\,b\,d^2\,e^2+3\,A\,a^2\,b\,d\,e^3+15\,B\,a\,b^2\,d^3\,e-9\,A\,a\,b^2\,d^2\,e^2-7\,B\,b^3\,d^4+5\,A\,b^3\,d^3\,e}{2\,e}+x\,\left(B\,a^3\,e^3-6\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+9\,B\,a\,b^2\,d^2\,e-6\,A\,a\,b^2\,d\,e^2-4\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{d^2\,e^4+2\,d\,e^5\,x+e^6\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(3\,B\,a^2\,b\,e^2-9\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+6\,B\,b^3\,d^2-3\,A\,b^3\,d\,e\right)}{e^5}+\frac{B\,b^3\,x^2}{2\,e^3}","Not used",1,"x*((A*b^3 + 3*B*a*b^2)/e^3 - (3*B*b^3*d)/e^4) - ((A*a^3*e^4 - 7*B*b^3*d^4 + 5*A*b^3*d^3*e + B*a^3*d*e^3 - 9*A*a*b^2*d^2*e^2 - 9*B*a^2*b*d^2*e^2 + 3*A*a^2*b*d*e^3 + 15*B*a*b^2*d^3*e)/(2*e) + x*(B*a^3*e^3 - 4*B*b^3*d^3 + 3*A*a^2*b*e^3 + 3*A*b^3*d^2*e - 6*A*a*b^2*d*e^2 + 9*B*a*b^2*d^2*e - 6*B*a^2*b*d*e^2))/(d^2*e^4 + e^6*x^2 + 2*d*e^5*x) + (log(d + e*x)*(6*B*b^3*d^2 - 3*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 9*B*a*b^2*d*e))/e^5 + (B*b^3*x^2)/(2*e^3)","B"
1044,1,301,149,1.185302,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^4,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,b^3\,e-4\,B\,b^3\,d+3\,B\,a\,b^2\,e\right)}{e^5}-\frac{\frac{B\,a^3\,d\,e^3+2\,A\,a^3\,e^4+6\,B\,a^2\,b\,d^2\,e^2+3\,A\,a^2\,b\,d\,e^3-33\,B\,a\,b^2\,d^3\,e+6\,A\,a\,b^2\,d^2\,e^2+26\,B\,b^3\,d^4-11\,A\,b^3\,d^3\,e}{6\,e}+x\,\left(\frac{B\,a^3\,e^3}{2}+3\,B\,a^2\,b\,d\,e^2+\frac{3\,A\,a^2\,b\,e^3}{2}-\frac{27\,B\,a\,b^2\,d^2\,e}{2}+3\,A\,a\,b^2\,d\,e^2+10\,B\,b^3\,d^3-\frac{9\,A\,b^3\,d^2\,e}{2}\right)+x^2\,\left(3\,B\,a^2\,b\,e^3-9\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+6\,B\,b^3\,d^2\,e-3\,A\,b^3\,d\,e^2\right)}{d^3\,e^4+3\,d^2\,e^5\,x+3\,d\,e^6\,x^2+e^7\,x^3}+\frac{B\,b^3\,x}{e^4}","Not used",1,"(log(d + e*x)*(A*b^3*e - 4*B*b^3*d + 3*B*a*b^2*e))/e^5 - ((2*A*a^3*e^4 + 26*B*b^3*d^4 - 11*A*b^3*d^3*e + B*a^3*d*e^3 + 6*A*a*b^2*d^2*e^2 + 6*B*a^2*b*d^2*e^2 + 3*A*a^2*b*d*e^3 - 33*B*a*b^2*d^3*e)/(6*e) + x*((B*a^3*e^3)/2 + 10*B*b^3*d^3 + (3*A*a^2*b*e^3)/2 - (9*A*b^3*d^2*e)/2 + 3*A*a*b^2*d*e^2 - (27*B*a*b^2*d^2*e)/2 + 3*B*a^2*b*d*e^2) + x^2*(3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - 3*A*b^3*d*e^2 + 6*B*b^3*d^2*e - 9*B*a*b^2*d*e^2))/(d^3*e^4 + e^7*x^3 + 3*d^2*e^5*x + 3*d*e^6*x^2) + (B*b^3*x)/e^4","B"
1045,1,303,129,0.160803,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^5,x)","\frac{B\,b^3\,\ln\left(d+e\,x\right)}{e^5}-\frac{\frac{B\,a^3\,d\,e^3+3\,A\,a^3\,e^4+3\,B\,a^2\,b\,d^2\,e^2+3\,A\,a^2\,b\,d\,e^3+9\,B\,a\,b^2\,d^3\,e+3\,A\,a\,b^2\,d^2\,e^2-25\,B\,b^3\,d^4+3\,A\,b^3\,d^3\,e}{12\,e^5}+\frac{x\,\left(B\,a^3\,e^3+3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+9\,B\,a\,b^2\,d^2\,e+3\,A\,a\,b^2\,d\,e^2-22\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{3\,e^4}+\frac{3\,x^2\,\left(B\,a^2\,b\,e^2+3\,B\,a\,b^2\,d\,e+A\,a\,b^2\,e^2-6\,B\,b^3\,d^2+A\,b^3\,d\,e\right)}{2\,e^3}+\frac{b^2\,x^3\,\left(A\,b\,e+3\,B\,a\,e-4\,B\,b\,d\right)}{e^2}}{d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4}","Not used",1,"(B*b^3*log(d + e*x))/e^5 - ((3*A*a^3*e^4 - 25*B*b^3*d^4 + 3*A*b^3*d^3*e + B*a^3*d*e^3 + 3*A*a*b^2*d^2*e^2 + 3*B*a^2*b*d^2*e^2 + 3*A*a^2*b*d*e^3 + 9*B*a*b^2*d^3*e)/(12*e^5) + (x*(B*a^3*e^3 - 22*B*b^3*d^3 + 3*A*a^2*b*e^3 + 3*A*b^3*d^2*e + 3*A*a*b^2*d*e^2 + 9*B*a*b^2*d^2*e + 3*B*a^2*b*d*e^2))/(3*e^4) + (3*x^2*(A*b^3*d*e - 6*B*b^3*d^2 + A*a*b^2*e^2 + B*a^2*b*e^2 + 3*B*a*b^2*d*e))/(2*e^3) + (b^2*x^3*(A*b*e + 3*B*a*e - 4*B*b*d))/e^2)/(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x)","B"
1046,1,307,86,0.119747,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^6,x)","-\frac{\frac{B\,a^3\,d\,e^3+4\,A\,a^3\,e^4+2\,B\,a^2\,b\,d^2\,e^2+3\,A\,a^2\,b\,d\,e^3+3\,B\,a\,b^2\,d^3\,e+2\,A\,a\,b^2\,d^2\,e^2+4\,B\,b^3\,d^4+A\,b^3\,d^3\,e}{20\,e^5}+\frac{x\,\left(B\,a^3\,e^3+2\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e+2\,A\,a\,b^2\,d\,e^2+4\,B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{4\,e^4}+\frac{b^2\,x^3\,\left(A\,b\,e+3\,B\,a\,e+4\,B\,b\,d\right)}{2\,e^2}+\frac{b\,x^2\,\left(2\,B\,a^2\,e^2+3\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+4\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{2\,e^3}+\frac{B\,b^3\,x^4}{e}}{d^5+5\,d^4\,e\,x+10\,d^3\,e^2\,x^2+10\,d^2\,e^3\,x^3+5\,d\,e^4\,x^4+e^5\,x^5}","Not used",1,"-((4*A*a^3*e^4 + 4*B*b^3*d^4 + A*b^3*d^3*e + B*a^3*d*e^3 + 2*A*a*b^2*d^2*e^2 + 2*B*a^2*b*d^2*e^2 + 3*A*a^2*b*d*e^3 + 3*B*a*b^2*d^3*e)/(20*e^5) + (x*(B*a^3*e^3 + 4*B*b^3*d^3 + 3*A*a^2*b*e^3 + A*b^3*d^2*e + 2*A*a*b^2*d*e^2 + 3*B*a*b^2*d^2*e + 2*B*a^2*b*d*e^2))/(4*e^4) + (b^2*x^3*(A*b*e + 3*B*a*e + 4*B*b*d))/(2*e^2) + (b*x^2*(2*B*a^2*e^2 + 4*B*b^2*d^2 + 2*A*a*b*e^2 + A*b^2*d*e + 3*B*a*b*d*e))/(2*e^3) + (B*b^3*x^4)/e)/(d^5 + e^5*x^5 + 5*d*e^4*x^4 + 10*d^3*e^2*x^2 + 10*d^2*e^3*x^3 + 5*d^4*e*x)","B"
1047,1,321,133,1.148376,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^7,x)","-\frac{\frac{2\,B\,a^3\,d\,e^3+10\,A\,a^3\,e^4+3\,B\,a^2\,b\,d^2\,e^2+6\,A\,a^2\,b\,d\,e^3+3\,B\,a\,b^2\,d^3\,e+3\,A\,a\,b^2\,d^2\,e^2+2\,B\,b^3\,d^4+A\,b^3\,d^3\,e}{60\,e^5}+\frac{x\,\left(2\,B\,a^3\,e^3+3\,B\,a^2\,b\,d\,e^2+6\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e+3\,A\,a\,b^2\,d\,e^2+2\,B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{10\,e^4}+\frac{b^2\,x^3\,\left(A\,b\,e+3\,B\,a\,e+2\,B\,b\,d\right)}{3\,e^2}+\frac{b\,x^2\,\left(3\,B\,a^2\,e^2+3\,B\,a\,b\,d\,e+3\,A\,a\,b\,e^2+2\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{4\,e^3}+\frac{B\,b^3\,x^4}{2\,e}}{d^6+6\,d^5\,e\,x+15\,d^4\,e^2\,x^2+20\,d^3\,e^3\,x^3+15\,d^2\,e^4\,x^4+6\,d\,e^5\,x^5+e^6\,x^6}","Not used",1,"-((10*A*a^3*e^4 + 2*B*b^3*d^4 + A*b^3*d^3*e + 2*B*a^3*d*e^3 + 3*A*a*b^2*d^2*e^2 + 3*B*a^2*b*d^2*e^2 + 6*A*a^2*b*d*e^3 + 3*B*a*b^2*d^3*e)/(60*e^5) + (x*(2*B*a^3*e^3 + 2*B*b^3*d^3 + 6*A*a^2*b*e^3 + A*b^3*d^2*e + 3*A*a*b^2*d*e^2 + 3*B*a*b^2*d^2*e + 3*B*a^2*b*d*e^2))/(10*e^4) + (b^2*x^3*(A*b*e + 3*B*a*e + 2*B*b*d))/(3*e^2) + (b*x^2*(3*B*a^2*e^2 + 2*B*b^2*d^2 + 3*A*a*b*e^2 + A*b^2*d*e + 3*B*a*b*d*e))/(4*e^3) + (B*b^3*x^4)/(2*e))/(d^6 + e^6*x^6 + 6*d*e^5*x^5 + 15*d^4*e^2*x^2 + 20*d^3*e^3*x^3 + 15*d^2*e^4*x^4 + 6*d^5*e*x)","B"
1048,1,336,163,1.132275,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^8,x)","-\frac{\frac{10\,B\,a^3\,d\,e^3+60\,A\,a^3\,e^4+12\,B\,a^2\,b\,d^2\,e^2+30\,A\,a^2\,b\,d\,e^3+9\,B\,a\,b^2\,d^3\,e+12\,A\,a\,b^2\,d^2\,e^2+4\,B\,b^3\,d^4+3\,A\,b^3\,d^3\,e}{420\,e^5}+\frac{x\,\left(10\,B\,a^3\,e^3+12\,B\,a^2\,b\,d\,e^2+30\,A\,a^2\,b\,e^3+9\,B\,a\,b^2\,d^2\,e+12\,A\,a\,b^2\,d\,e^2+4\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{60\,e^4}+\frac{b^2\,x^3\,\left(3\,A\,b\,e+9\,B\,a\,e+4\,B\,b\,d\right)}{12\,e^2}+\frac{b\,x^2\,\left(12\,B\,a^2\,e^2+9\,B\,a\,b\,d\,e+12\,A\,a\,b\,e^2+4\,B\,b^2\,d^2+3\,A\,b^2\,d\,e\right)}{20\,e^3}+\frac{B\,b^3\,x^4}{3\,e}}{d^7+7\,d^6\,e\,x+21\,d^5\,e^2\,x^2+35\,d^4\,e^3\,x^3+35\,d^3\,e^4\,x^4+21\,d^2\,e^5\,x^5+7\,d\,e^6\,x^6+e^7\,x^7}","Not used",1,"-((60*A*a^3*e^4 + 4*B*b^3*d^4 + 3*A*b^3*d^3*e + 10*B*a^3*d*e^3 + 12*A*a*b^2*d^2*e^2 + 12*B*a^2*b*d^2*e^2 + 30*A*a^2*b*d*e^3 + 9*B*a*b^2*d^3*e)/(420*e^5) + (x*(10*B*a^3*e^3 + 4*B*b^3*d^3 + 30*A*a^2*b*e^3 + 3*A*b^3*d^2*e + 12*A*a*b^2*d*e^2 + 9*B*a*b^2*d^2*e + 12*B*a^2*b*d*e^2))/(60*e^4) + (b^2*x^3*(3*A*b*e + 9*B*a*e + 4*B*b*d))/(12*e^2) + (b*x^2*(12*B*a^2*e^2 + 4*B*b^2*d^2 + 12*A*a*b*e^2 + 3*A*b^2*d*e + 9*B*a*b*d*e))/(20*e^3) + (B*b^3*x^4)/(3*e))/(d^7 + e^7*x^7 + 7*d*e^6*x^6 + 21*d^5*e^2*x^2 + 35*d^4*e^3*x^3 + 35*d^3*e^4*x^4 + 21*d^2*e^5*x^5 + 7*d^6*e*x)","B"
1049,1,339,163,1.146051,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^9,x)","-\frac{\frac{5\,B\,a^3\,d\,e^3+35\,A\,a^3\,e^4+5\,B\,a^2\,b\,d^2\,e^2+15\,A\,a^2\,b\,d\,e^3+3\,B\,a\,b^2\,d^3\,e+5\,A\,a\,b^2\,d^2\,e^2+B\,b^3\,d^4+A\,b^3\,d^3\,e}{280\,e^5}+\frac{x\,\left(5\,B\,a^3\,e^3+5\,B\,a^2\,b\,d\,e^2+15\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e+5\,A\,a\,b^2\,d\,e^2+B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{35\,e^4}+\frac{b^2\,x^3\,\left(A\,b\,e+3\,B\,a\,e+B\,b\,d\right)}{5\,e^2}+\frac{b\,x^2\,\left(5\,B\,a^2\,e^2+3\,B\,a\,b\,d\,e+5\,A\,a\,b\,e^2+B\,b^2\,d^2+A\,b^2\,d\,e\right)}{10\,e^3}+\frac{B\,b^3\,x^4}{4\,e}}{d^8+8\,d^7\,e\,x+28\,d^6\,e^2\,x^2+56\,d^5\,e^3\,x^3+70\,d^4\,e^4\,x^4+56\,d^3\,e^5\,x^5+28\,d^2\,e^6\,x^6+8\,d\,e^7\,x^7+e^8\,x^8}","Not used",1,"-((35*A*a^3*e^4 + B*b^3*d^4 + A*b^3*d^3*e + 5*B*a^3*d*e^3 + 5*A*a*b^2*d^2*e^2 + 5*B*a^2*b*d^2*e^2 + 15*A*a^2*b*d*e^3 + 3*B*a*b^2*d^3*e)/(280*e^5) + (x*(5*B*a^3*e^3 + B*b^3*d^3 + 15*A*a^2*b*e^3 + A*b^3*d^2*e + 5*A*a*b^2*d*e^2 + 3*B*a*b^2*d^2*e + 5*B*a^2*b*d*e^2))/(35*e^4) + (b^2*x^3*(A*b*e + 3*B*a*e + B*b*d))/(5*e^2) + (b*x^2*(5*B*a^2*e^2 + B*b^2*d^2 + 5*A*a*b*e^2 + A*b^2*d*e + 3*B*a*b*d*e))/(10*e^3) + (B*b^3*x^4)/(4*e))/(d^8 + e^8*x^8 + 8*d*e^7*x^7 + 28*d^6*e^2*x^2 + 56*d^5*e^3*x^3 + 70*d^4*e^4*x^4 + 56*d^3*e^5*x^5 + 28*d^2*e^6*x^6 + 8*d^7*e*x)","B"
1050,1,358,163,1.172188,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^10,x)","-\frac{\frac{35\,B\,a^3\,d\,e^3+280\,A\,a^3\,e^4+30\,B\,a^2\,b\,d^2\,e^2+105\,A\,a^2\,b\,d\,e^3+15\,B\,a\,b^2\,d^3\,e+30\,A\,a\,b^2\,d^2\,e^2+4\,B\,b^3\,d^4+5\,A\,b^3\,d^3\,e}{2520\,e^5}+\frac{x\,\left(35\,B\,a^3\,e^3+30\,B\,a^2\,b\,d\,e^2+105\,A\,a^2\,b\,e^3+15\,B\,a\,b^2\,d^2\,e+30\,A\,a\,b^2\,d\,e^2+4\,B\,b^3\,d^3+5\,A\,b^3\,d^2\,e\right)}{280\,e^4}+\frac{b^2\,x^3\,\left(5\,A\,b\,e+15\,B\,a\,e+4\,B\,b\,d\right)}{30\,e^2}+\frac{b\,x^2\,\left(30\,B\,a^2\,e^2+15\,B\,a\,b\,d\,e+30\,A\,a\,b\,e^2+4\,B\,b^2\,d^2+5\,A\,b^2\,d\,e\right)}{70\,e^3}+\frac{B\,b^3\,x^4}{5\,e}}{d^9+9\,d^8\,e\,x+36\,d^7\,e^2\,x^2+84\,d^6\,e^3\,x^3+126\,d^5\,e^4\,x^4+126\,d^4\,e^5\,x^5+84\,d^3\,e^6\,x^6+36\,d^2\,e^7\,x^7+9\,d\,e^8\,x^8+e^9\,x^9}","Not used",1,"-((280*A*a^3*e^4 + 4*B*b^3*d^4 + 5*A*b^3*d^3*e + 35*B*a^3*d*e^3 + 30*A*a*b^2*d^2*e^2 + 30*B*a^2*b*d^2*e^2 + 105*A*a^2*b*d*e^3 + 15*B*a*b^2*d^3*e)/(2520*e^5) + (x*(35*B*a^3*e^3 + 4*B*b^3*d^3 + 105*A*a^2*b*e^3 + 5*A*b^3*d^2*e + 30*A*a*b^2*d*e^2 + 15*B*a*b^2*d^2*e + 30*B*a^2*b*d*e^2))/(280*e^4) + (b^2*x^3*(5*A*b*e + 15*B*a*e + 4*B*b*d))/(30*e^2) + (b*x^2*(30*B*a^2*e^2 + 4*B*b^2*d^2 + 30*A*a*b*e^2 + 5*A*b^2*d*e + 15*B*a*b*d*e))/(70*e^3) + (B*b^3*x^4)/(5*e))/(d^9 + e^9*x^9 + 9*d*e^8*x^8 + 36*d^7*e^2*x^2 + 84*d^6*e^3*x^3 + 126*d^5*e^4*x^4 + 126*d^4*e^5*x^5 + 84*d^3*e^6*x^6 + 36*d^2*e^7*x^7 + 9*d^8*e*x)","B"
1051,1,1625,292,1.613031,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^8,x)","x^6\,\left(\frac{35\,B\,a^6\,d^4\,e^4}{3}+\frac{28\,A\,a^6\,d^3\,e^5}{3}+56\,B\,a^5\,b\,d^5\,e^3+70\,A\,a^5\,b\,d^4\,e^4+70\,B\,a^4\,b^2\,d^6\,e^2+140\,A\,a^4\,b^2\,d^5\,e^3+\frac{80\,B\,a^3\,b^3\,d^7\,e}{3}+\frac{280\,A\,a^3\,b^3\,d^6\,e^2}{3}+\frac{5\,B\,a^2\,b^4\,d^8}{2}+20\,A\,a^2\,b^4\,d^7\,e+A\,a\,b^5\,d^8\right)+x^{11}\,\left(\frac{6\,B\,a^5\,b\,e^8}{11}+\frac{120\,B\,a^4\,b^2\,d\,e^7}{11}+\frac{15\,A\,a^4\,b^2\,e^8}{11}+\frac{560\,B\,a^3\,b^3\,d^2\,e^6}{11}+\frac{160\,A\,a^3\,b^3\,d\,e^7}{11}+\frac{840\,B\,a^2\,b^4\,d^3\,e^5}{11}+\frac{420\,A\,a^2\,b^4\,d^2\,e^6}{11}+\frac{420\,B\,a\,b^5\,d^4\,e^4}{11}+\frac{336\,A\,a\,b^5\,d^3\,e^5}{11}+\frac{56\,B\,b^6\,d^5\,e^3}{11}+\frac{70\,A\,b^6\,d^4\,e^4}{11}\right)+x^5\,\left(\frac{56\,B\,a^6\,d^5\,e^3}{5}+14\,A\,a^6\,d^4\,e^4+\frac{168\,B\,a^5\,b\,d^6\,e^2}{5}+\frac{336\,A\,a^5\,b\,d^5\,e^3}{5}+24\,B\,a^4\,b^2\,d^7\,e+84\,A\,a^4\,b^2\,d^6\,e^2+4\,B\,a^3\,b^3\,d^8+32\,A\,a^3\,b^3\,d^7\,e+3\,A\,a^2\,b^4\,d^8\right)+x^{12}\,\left(\frac{5\,B\,a^4\,b^2\,e^8}{4}+\frac{40\,B\,a^3\,b^3\,d\,e^7}{3}+\frac{5\,A\,a^3\,b^3\,e^8}{3}+35\,B\,a^2\,b^4\,d^2\,e^6+10\,A\,a^2\,b^4\,d\,e^7+28\,B\,a\,b^5\,d^3\,e^5+14\,A\,a\,b^5\,d^2\,e^6+\frac{35\,B\,b^6\,d^4\,e^4}{6}+\frac{14\,A\,b^6\,d^3\,e^5}{3}\right)+x^7\,\left(8\,B\,a^6\,d^3\,e^5+4\,A\,a^6\,d^2\,e^6+60\,B\,a^5\,b\,d^4\,e^4+48\,A\,a^5\,b\,d^3\,e^5+120\,B\,a^4\,b^2\,d^5\,e^3+150\,A\,a^4\,b^2\,d^4\,e^4+80\,B\,a^3\,b^3\,d^6\,e^2+160\,A\,a^3\,b^3\,d^5\,e^3+\frac{120\,B\,a^2\,b^4\,d^7\,e}{7}+60\,A\,a^2\,b^4\,d^6\,e^2+\frac{6\,B\,a\,b^5\,d^8}{7}+\frac{48\,A\,a\,b^5\,d^7\,e}{7}+\frac{A\,b^6\,d^8}{7}\right)+x^{10}\,\left(\frac{B\,a^6\,e^8}{10}+\frac{24\,B\,a^5\,b\,d\,e^7}{5}+\frac{3\,A\,a^5\,b\,e^8}{5}+42\,B\,a^4\,b^2\,d^2\,e^6+12\,A\,a^4\,b^2\,d\,e^7+112\,B\,a^3\,b^3\,d^3\,e^5+56\,A\,a^3\,b^3\,d^2\,e^6+105\,B\,a^2\,b^4\,d^4\,e^4+84\,A\,a^2\,b^4\,d^3\,e^5+\frac{168\,B\,a\,b^5\,d^5\,e^3}{5}+42\,A\,a\,b^5\,d^4\,e^4+\frac{14\,B\,b^6\,d^6\,e^2}{5}+\frac{28\,A\,b^6\,d^5\,e^3}{5}\right)+x^3\,\left(\frac{8\,B\,a^6\,d^7\,e}{3}+\frac{28\,A\,a^6\,d^6\,e^2}{3}+2\,B\,a^5\,b\,d^8+16\,A\,a^5\,b\,d^7\,e+5\,A\,a^4\,b^2\,d^8\right)+x^{14}\,\left(\frac{15\,B\,a^2\,b^4\,e^8}{14}+\frac{24\,B\,a\,b^5\,d\,e^7}{7}+\frac{3\,A\,a\,b^5\,e^8}{7}+2\,B\,b^6\,d^2\,e^6+\frac{4\,A\,b^6\,d\,e^7}{7}\right)+x^8\,\left(\frac{7\,B\,a^6\,d^2\,e^6}{2}+A\,a^6\,d\,e^7+42\,B\,a^5\,b\,d^3\,e^5+21\,A\,a^5\,b\,d^2\,e^6+\frac{525\,B\,a^4\,b^2\,d^4\,e^4}{4}+105\,A\,a^4\,b^2\,d^3\,e^5+140\,B\,a^3\,b^3\,d^5\,e^3+175\,A\,a^3\,b^3\,d^4\,e^4+\frac{105\,B\,a^2\,b^4\,d^6\,e^2}{2}+105\,A\,a^2\,b^4\,d^5\,e^3+6\,B\,a\,b^5\,d^7\,e+21\,A\,a\,b^5\,d^6\,e^2+\frac{B\,b^6\,d^8}{8}+A\,b^6\,d^7\,e\right)+x^9\,\left(\frac{8\,B\,a^6\,d\,e^7}{9}+\frac{A\,a^6\,e^8}{9}+\frac{56\,B\,a^5\,b\,d^2\,e^6}{3}+\frac{16\,A\,a^5\,b\,d\,e^7}{3}+\frac{280\,B\,a^4\,b^2\,d^3\,e^5}{3}+\frac{140\,A\,a^4\,b^2\,d^2\,e^6}{3}+\frac{1400\,B\,a^3\,b^3\,d^4\,e^4}{9}+\frac{1120\,A\,a^3\,b^3\,d^3\,e^5}{9}+\frac{280\,B\,a^2\,b^4\,d^5\,e^3}{3}+\frac{350\,A\,a^2\,b^4\,d^4\,e^4}{3}+\frac{56\,B\,a\,b^5\,d^6\,e^2}{3}+\frac{112\,A\,a\,b^5\,d^5\,e^3}{3}+\frac{8\,B\,b^6\,d^7\,e}{9}+\frac{28\,A\,b^6\,d^6\,e^2}{9}\right)+x^4\,\left(7\,B\,a^6\,d^6\,e^2+14\,A\,a^6\,d^5\,e^3+12\,B\,a^5\,b\,d^7\,e+42\,A\,a^5\,b\,d^6\,e^2+\frac{15\,B\,a^4\,b^2\,d^8}{4}+30\,A\,a^4\,b^2\,d^7\,e+5\,A\,a^3\,b^3\,d^8\right)+x^{13}\,\left(\frac{20\,B\,a^3\,b^3\,e^8}{13}+\frac{120\,B\,a^2\,b^4\,d\,e^7}{13}+\frac{15\,A\,a^2\,b^4\,e^8}{13}+\frac{168\,B\,a\,b^5\,d^2\,e^6}{13}+\frac{48\,A\,a\,b^5\,d\,e^7}{13}+\frac{56\,B\,b^6\,d^3\,e^5}{13}+\frac{28\,A\,b^6\,d^2\,e^6}{13}\right)+\frac{a^5\,d^7\,x^2\,\left(8\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e^7\,x^{15}\,\left(A\,b\,e+6\,B\,a\,e+8\,B\,b\,d\right)}{15}+A\,a^6\,d^8\,x+\frac{B\,b^6\,e^8\,x^{16}}{16}","Not used",1,"x^6*(A*a*b^5*d^8 + (5*B*a^2*b^4*d^8)/2 + (28*A*a^6*d^3*e^5)/3 + (35*B*a^6*d^4*e^4)/3 + 20*A*a^2*b^4*d^7*e + 70*A*a^5*b*d^4*e^4 + (80*B*a^3*b^3*d^7*e)/3 + 56*B*a^5*b*d^5*e^3 + (280*A*a^3*b^3*d^6*e^2)/3 + 140*A*a^4*b^2*d^5*e^3 + 70*B*a^4*b^2*d^6*e^2) + x^11*((6*B*a^5*b*e^8)/11 + (15*A*a^4*b^2*e^8)/11 + (70*A*b^6*d^4*e^4)/11 + (56*B*b^6*d^5*e^3)/11 + (336*A*a*b^5*d^3*e^5)/11 + (160*A*a^3*b^3*d*e^7)/11 + (420*B*a*b^5*d^4*e^4)/11 + (120*B*a^4*b^2*d*e^7)/11 + (420*A*a^2*b^4*d^2*e^6)/11 + (840*B*a^2*b^4*d^3*e^5)/11 + (560*B*a^3*b^3*d^2*e^6)/11) + x^5*(3*A*a^2*b^4*d^8 + 4*B*a^3*b^3*d^8 + 14*A*a^6*d^4*e^4 + (56*B*a^6*d^5*e^3)/5 + 32*A*a^3*b^3*d^7*e + (336*A*a^5*b*d^5*e^3)/5 + 24*B*a^4*b^2*d^7*e + (168*B*a^5*b*d^6*e^2)/5 + 84*A*a^4*b^2*d^6*e^2) + x^12*((5*A*a^3*b^3*e^8)/3 + (5*B*a^4*b^2*e^8)/4 + (14*A*b^6*d^3*e^5)/3 + (35*B*b^6*d^4*e^4)/6 + 14*A*a*b^5*d^2*e^6 + 10*A*a^2*b^4*d*e^7 + 28*B*a*b^5*d^3*e^5 + (40*B*a^3*b^3*d*e^7)/3 + 35*B*a^2*b^4*d^2*e^6) + x^7*((A*b^6*d^8)/7 + (6*B*a*b^5*d^8)/7 + 4*A*a^6*d^2*e^6 + 8*B*a^6*d^3*e^5 + 48*A*a^5*b*d^3*e^5 + (120*B*a^2*b^4*d^7*e)/7 + 60*B*a^5*b*d^4*e^4 + 60*A*a^2*b^4*d^6*e^2 + 160*A*a^3*b^3*d^5*e^3 + 150*A*a^4*b^2*d^4*e^4 + 80*B*a^3*b^3*d^6*e^2 + 120*B*a^4*b^2*d^5*e^3 + (48*A*a*b^5*d^7*e)/7) + x^10*((B*a^6*e^8)/10 + (3*A*a^5*b*e^8)/5 + (28*A*b^6*d^5*e^3)/5 + (14*B*b^6*d^6*e^2)/5 + 42*A*a*b^5*d^4*e^4 + 12*A*a^4*b^2*d*e^7 + (168*B*a*b^5*d^5*e^3)/5 + 84*A*a^2*b^4*d^3*e^5 + 56*A*a^3*b^3*d^2*e^6 + 105*B*a^2*b^4*d^4*e^4 + 112*B*a^3*b^3*d^3*e^5 + 42*B*a^4*b^2*d^2*e^6 + (24*B*a^5*b*d*e^7)/5) + x^3*(2*B*a^5*b*d^8 + (8*B*a^6*d^7*e)/3 + 5*A*a^4*b^2*d^8 + (28*A*a^6*d^6*e^2)/3 + 16*A*a^5*b*d^7*e) + x^14*((3*A*a*b^5*e^8)/7 + (4*A*b^6*d*e^7)/7 + (15*B*a^2*b^4*e^8)/14 + 2*B*b^6*d^2*e^6 + (24*B*a*b^5*d*e^7)/7) + x^8*((B*b^6*d^8)/8 + A*a^6*d*e^7 + A*b^6*d^7*e + (7*B*a^6*d^2*e^6)/2 + 21*A*a*b^5*d^6*e^2 + 21*A*a^5*b*d^2*e^6 + 42*B*a^5*b*d^3*e^5 + 105*A*a^2*b^4*d^5*e^3 + 175*A*a^3*b^3*d^4*e^4 + 105*A*a^4*b^2*d^3*e^5 + (105*B*a^2*b^4*d^6*e^2)/2 + 140*B*a^3*b^3*d^5*e^3 + (525*B*a^4*b^2*d^4*e^4)/4 + 6*B*a*b^5*d^7*e) + x^9*((A*a^6*e^8)/9 + (8*B*a^6*d*e^7)/9 + (8*B*b^6*d^7*e)/9 + (28*A*b^6*d^6*e^2)/9 + (112*A*a*b^5*d^5*e^3)/3 + (56*B*a*b^5*d^6*e^2)/3 + (56*B*a^5*b*d^2*e^6)/3 + (350*A*a^2*b^4*d^4*e^4)/3 + (1120*A*a^3*b^3*d^3*e^5)/9 + (140*A*a^4*b^2*d^2*e^6)/3 + (280*B*a^2*b^4*d^5*e^3)/3 + (1400*B*a^3*b^3*d^4*e^4)/9 + (280*B*a^4*b^2*d^3*e^5)/3 + (16*A*a^5*b*d*e^7)/3) + x^4*(5*A*a^3*b^3*d^8 + (15*B*a^4*b^2*d^8)/4 + 14*A*a^6*d^5*e^3 + 7*B*a^6*d^6*e^2 + 30*A*a^4*b^2*d^7*e + 42*A*a^5*b*d^6*e^2 + 12*B*a^5*b*d^7*e) + x^13*((15*A*a^2*b^4*e^8)/13 + (20*B*a^3*b^3*e^8)/13 + (28*A*b^6*d^2*e^6)/13 + (56*B*b^6*d^3*e^5)/13 + (168*B*a*b^5*d^2*e^6)/13 + (120*B*a^2*b^4*d*e^7)/13 + (48*A*a*b^5*d*e^7)/13) + (a^5*d^7*x^2*(8*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e^7*x^15*(A*b*e + 6*B*a*e + 8*B*b*d))/15 + A*a^6*d^8*x + (B*b^6*e^8*x^16)/16","B"
1052,1,1431,292,0.487405,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^7,x)","x^6\,\left(\frac{35\,B\,a^6\,d^3\,e^4}{6}+\frac{7\,A\,a^6\,d^2\,e^5}{2}+35\,B\,a^5\,b\,d^4\,e^3+35\,A\,a^5\,b\,d^3\,e^4+\frac{105\,B\,a^4\,b^2\,d^5\,e^2}{2}+\frac{175\,A\,a^4\,b^2\,d^4\,e^3}{2}+\frac{70\,B\,a^3\,b^3\,d^6\,e}{3}+70\,A\,a^3\,b^3\,d^5\,e^2+\frac{5\,B\,a^2\,b^4\,d^7}{2}+\frac{35\,A\,a^2\,b^4\,d^6\,e}{2}+A\,a\,b^5\,d^7\right)+x^{10}\,\left(\frac{3\,B\,a^5\,b\,e^7}{5}+\frac{21\,B\,a^4\,b^2\,d\,e^6}{2}+\frac{3\,A\,a^4\,b^2\,e^7}{2}+42\,B\,a^3\,b^3\,d^2\,e^5+14\,A\,a^3\,b^3\,d\,e^6+\frac{105\,B\,a^2\,b^4\,d^3\,e^4}{2}+\frac{63\,A\,a^2\,b^4\,d^2\,e^5}{2}+21\,B\,a\,b^5\,d^4\,e^3+21\,A\,a\,b^5\,d^3\,e^4+\frac{21\,B\,b^6\,d^5\,e^2}{10}+\frac{7\,A\,b^6\,d^4\,e^3}{2}\right)+x^5\,\left(7\,B\,a^6\,d^4\,e^3+7\,A\,a^6\,d^3\,e^4+\frac{126\,B\,a^5\,b\,d^5\,e^2}{5}+42\,A\,a^5\,b\,d^4\,e^3+21\,B\,a^4\,b^2\,d^6\,e+63\,A\,a^4\,b^2\,d^5\,e^2+4\,B\,a^3\,b^3\,d^7+28\,A\,a^3\,b^3\,d^6\,e+3\,A\,a^2\,b^4\,d^7\right)+x^{11}\,\left(\frac{15\,B\,a^4\,b^2\,e^7}{11}+\frac{140\,B\,a^3\,b^3\,d\,e^6}{11}+\frac{20\,A\,a^3\,b^3\,e^7}{11}+\frac{315\,B\,a^2\,b^4\,d^2\,e^5}{11}+\frac{105\,A\,a^2\,b^4\,d\,e^6}{11}+\frac{210\,B\,a\,b^5\,d^3\,e^4}{11}+\frac{126\,A\,a\,b^5\,d^2\,e^5}{11}+\frac{35\,B\,b^6\,d^4\,e^3}{11}+\frac{35\,A\,b^6\,d^3\,e^4}{11}\right)+x^3\,\left(\frac{7\,B\,a^6\,d^6\,e}{3}+7\,A\,a^6\,d^5\,e^2+2\,B\,a^5\,b\,d^7+14\,A\,a^5\,b\,d^6\,e+5\,A\,a^4\,b^2\,d^7\right)+x^8\,\left(\frac{7\,B\,a^6\,d\,e^6}{8}+\frac{A\,a^6\,e^7}{8}+\frac{63\,B\,a^5\,b\,d^2\,e^5}{4}+\frac{21\,A\,a^5\,b\,d\,e^6}{4}+\frac{525\,B\,a^4\,b^2\,d^3\,e^4}{8}+\frac{315\,A\,a^4\,b^2\,d^2\,e^5}{8}+\frac{175\,B\,a^3\,b^3\,d^4\,e^3}{2}+\frac{175\,A\,a^3\,b^3\,d^3\,e^4}{2}+\frac{315\,B\,a^2\,b^4\,d^5\,e^2}{8}+\frac{525\,A\,a^2\,b^4\,d^4\,e^3}{8}+\frac{21\,B\,a\,b^5\,d^6\,e}{4}+\frac{63\,A\,a\,b^5\,d^5\,e^2}{4}+\frac{B\,b^6\,d^7}{8}+\frac{7\,A\,b^6\,d^6\,e}{8}\right)+x^{13}\,\left(\frac{15\,B\,a^2\,b^4\,e^7}{13}+\frac{42\,B\,a\,b^5\,d\,e^6}{13}+\frac{6\,A\,a\,b^5\,e^7}{13}+\frac{21\,B\,b^6\,d^2\,e^5}{13}+\frac{7\,A\,b^6\,d\,e^6}{13}\right)+x^4\,\left(\frac{21\,B\,a^6\,d^5\,e^2}{4}+\frac{35\,A\,a^6\,d^4\,e^3}{4}+\frac{21\,B\,a^5\,b\,d^6\,e}{2}+\frac{63\,A\,a^5\,b\,d^5\,e^2}{2}+\frac{15\,B\,a^4\,b^2\,d^7}{4}+\frac{105\,A\,a^4\,b^2\,d^6\,e}{4}+5\,A\,a^3\,b^3\,d^7\right)+x^{12}\,\left(\frac{5\,B\,a^3\,b^3\,e^7}{3}+\frac{35\,B\,a^2\,b^4\,d\,e^6}{4}+\frac{5\,A\,a^2\,b^4\,e^7}{4}+\frac{21\,B\,a\,b^5\,d^2\,e^5}{2}+\frac{7\,A\,a\,b^5\,d\,e^6}{2}+\frac{35\,B\,b^6\,d^3\,e^4}{12}+\frac{7\,A\,b^6\,d^2\,e^5}{4}\right)+x^7\,\left(3\,B\,a^6\,d^2\,e^5+A\,a^6\,d\,e^6+30\,B\,a^5\,b\,d^3\,e^4+18\,A\,a^5\,b\,d^2\,e^5+75\,B\,a^4\,b^2\,d^4\,e^3+75\,A\,a^4\,b^2\,d^3\,e^4+60\,B\,a^3\,b^3\,d^5\,e^2+100\,A\,a^3\,b^3\,d^4\,e^3+15\,B\,a^2\,b^4\,d^6\,e+45\,A\,a^2\,b^4\,d^5\,e^2+\frac{6\,B\,a\,b^5\,d^7}{7}+6\,A\,a\,b^5\,d^6\,e+\frac{A\,b^6\,d^7}{7}\right)+x^9\,\left(\frac{B\,a^6\,e^7}{9}+\frac{14\,B\,a^5\,b\,d\,e^6}{3}+\frac{2\,A\,a^5\,b\,e^7}{3}+35\,B\,a^4\,b^2\,d^2\,e^5+\frac{35\,A\,a^4\,b^2\,d\,e^6}{3}+\frac{700\,B\,a^3\,b^3\,d^3\,e^4}{9}+\frac{140\,A\,a^3\,b^3\,d^2\,e^5}{3}+\frac{175\,B\,a^2\,b^4\,d^4\,e^3}{3}+\frac{175\,A\,a^2\,b^4\,d^3\,e^4}{3}+14\,B\,a\,b^5\,d^5\,e^2+\frac{70\,A\,a\,b^5\,d^4\,e^3}{3}+\frac{7\,B\,b^6\,d^6\,e}{9}+\frac{7\,A\,b^6\,d^5\,e^2}{3}\right)+\frac{a^5\,d^6\,x^2\,\left(7\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e^6\,x^{14}\,\left(A\,b\,e+6\,B\,a\,e+7\,B\,b\,d\right)}{14}+A\,a^6\,d^7\,x+\frac{B\,b^6\,e^7\,x^{15}}{15}","Not used",1,"x^6*(A*a*b^5*d^7 + (5*B*a^2*b^4*d^7)/2 + (7*A*a^6*d^2*e^5)/2 + (35*B*a^6*d^3*e^4)/6 + (35*A*a^2*b^4*d^6*e)/2 + 35*A*a^5*b*d^3*e^4 + (70*B*a^3*b^3*d^6*e)/3 + 35*B*a^5*b*d^4*e^3 + 70*A*a^3*b^3*d^5*e^2 + (175*A*a^4*b^2*d^4*e^3)/2 + (105*B*a^4*b^2*d^5*e^2)/2) + x^10*((3*B*a^5*b*e^7)/5 + (3*A*a^4*b^2*e^7)/2 + (7*A*b^6*d^4*e^3)/2 + (21*B*b^6*d^5*e^2)/10 + 21*A*a*b^5*d^3*e^4 + 14*A*a^3*b^3*d*e^6 + 21*B*a*b^5*d^4*e^3 + (21*B*a^4*b^2*d*e^6)/2 + (63*A*a^2*b^4*d^2*e^5)/2 + (105*B*a^2*b^4*d^3*e^4)/2 + 42*B*a^3*b^3*d^2*e^5) + x^5*(3*A*a^2*b^4*d^7 + 4*B*a^3*b^3*d^7 + 7*A*a^6*d^3*e^4 + 7*B*a^6*d^4*e^3 + 28*A*a^3*b^3*d^6*e + 42*A*a^5*b*d^4*e^3 + 21*B*a^4*b^2*d^6*e + (126*B*a^5*b*d^5*e^2)/5 + 63*A*a^4*b^2*d^5*e^2) + x^11*((20*A*a^3*b^3*e^7)/11 + (15*B*a^4*b^2*e^7)/11 + (35*A*b^6*d^3*e^4)/11 + (35*B*b^6*d^4*e^3)/11 + (126*A*a*b^5*d^2*e^5)/11 + (105*A*a^2*b^4*d*e^6)/11 + (210*B*a*b^5*d^3*e^4)/11 + (140*B*a^3*b^3*d*e^6)/11 + (315*B*a^2*b^4*d^2*e^5)/11) + x^3*(2*B*a^5*b*d^7 + (7*B*a^6*d^6*e)/3 + 5*A*a^4*b^2*d^7 + 7*A*a^6*d^5*e^2 + 14*A*a^5*b*d^6*e) + x^8*((A*a^6*e^7)/8 + (B*b^6*d^7)/8 + (7*A*b^6*d^6*e)/8 + (7*B*a^6*d*e^6)/8 + (63*A*a*b^5*d^5*e^2)/4 + (63*B*a^5*b*d^2*e^5)/4 + (525*A*a^2*b^4*d^4*e^3)/8 + (175*A*a^3*b^3*d^3*e^4)/2 + (315*A*a^4*b^2*d^2*e^5)/8 + (315*B*a^2*b^4*d^5*e^2)/8 + (175*B*a^3*b^3*d^4*e^3)/2 + (525*B*a^4*b^2*d^3*e^4)/8 + (21*A*a^5*b*d*e^6)/4 + (21*B*a*b^5*d^6*e)/4) + x^13*((6*A*a*b^5*e^7)/13 + (7*A*b^6*d*e^6)/13 + (15*B*a^2*b^4*e^7)/13 + (21*B*b^6*d^2*e^5)/13 + (42*B*a*b^5*d*e^6)/13) + x^4*(5*A*a^3*b^3*d^7 + (15*B*a^4*b^2*d^7)/4 + (35*A*a^6*d^4*e^3)/4 + (21*B*a^6*d^5*e^2)/4 + (105*A*a^4*b^2*d^6*e)/4 + (63*A*a^5*b*d^5*e^2)/2 + (21*B*a^5*b*d^6*e)/2) + x^12*((5*A*a^2*b^4*e^7)/4 + (5*B*a^3*b^3*e^7)/3 + (7*A*b^6*d^2*e^5)/4 + (35*B*b^6*d^3*e^4)/12 + (21*B*a*b^5*d^2*e^5)/2 + (35*B*a^2*b^4*d*e^6)/4 + (7*A*a*b^5*d*e^6)/2) + x^7*((A*b^6*d^7)/7 + (6*B*a*b^5*d^7)/7 + A*a^6*d*e^6 + 3*B*a^6*d^2*e^5 + 18*A*a^5*b*d^2*e^5 + 15*B*a^2*b^4*d^6*e + 30*B*a^5*b*d^3*e^4 + 45*A*a^2*b^4*d^5*e^2 + 100*A*a^3*b^3*d^4*e^3 + 75*A*a^4*b^2*d^3*e^4 + 60*B*a^3*b^3*d^5*e^2 + 75*B*a^4*b^2*d^4*e^3 + 6*A*a*b^5*d^6*e) + x^9*((B*a^6*e^7)/9 + (2*A*a^5*b*e^7)/3 + (7*B*b^6*d^6*e)/9 + (7*A*b^6*d^5*e^2)/3 + (70*A*a*b^5*d^4*e^3)/3 + (35*A*a^4*b^2*d*e^6)/3 + 14*B*a*b^5*d^5*e^2 + (175*A*a^2*b^4*d^3*e^4)/3 + (140*A*a^3*b^3*d^2*e^5)/3 + (175*B*a^2*b^4*d^4*e^3)/3 + (700*B*a^3*b^3*d^3*e^4)/9 + 35*B*a^4*b^2*d^2*e^5 + (14*B*a^5*b*d*e^6)/3) + (a^5*d^6*x^2*(7*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e^6*x^14*(A*b*e + 6*B*a*e + 7*B*b*d))/14 + A*a^6*d^7*x + (B*b^6*e^7*x^15)/15","B"
1053,1,1221,290,1.391394,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^6,x)","x^5\,\left(4\,B\,a^6\,d^3\,e^3+3\,A\,a^6\,d^2\,e^4+18\,B\,a^5\,b\,d^4\,e^2+24\,A\,a^5\,b\,d^3\,e^3+18\,B\,a^4\,b^2\,d^5\,e+45\,A\,a^4\,b^2\,d^4\,e^2+4\,B\,a^3\,b^3\,d^6+24\,A\,a^3\,b^3\,d^5\,e+3\,A\,a^2\,b^4\,d^6\right)+x^{10}\,\left(\frac{3\,B\,a^4\,b^2\,e^6}{2}+12\,B\,a^3\,b^3\,d\,e^5+2\,A\,a^3\,b^3\,e^6+\frac{45\,B\,a^2\,b^4\,d^2\,e^4}{2}+9\,A\,a^2\,b^4\,d\,e^5+12\,B\,a\,b^5\,d^3\,e^3+9\,A\,a\,b^5\,d^2\,e^4+\frac{3\,B\,b^6\,d^4\,e^2}{2}+2\,A\,b^6\,d^3\,e^3\right)+x^6\,\left(\frac{5\,B\,a^6\,d^2\,e^4}{2}+A\,a^6\,d\,e^5+20\,B\,a^5\,b\,d^3\,e^3+15\,A\,a^5\,b\,d^2\,e^4+\frac{75\,B\,a^4\,b^2\,d^4\,e^2}{2}+50\,A\,a^4\,b^2\,d^3\,e^3+20\,B\,a^3\,b^3\,d^5\,e+50\,A\,a^3\,b^3\,d^4\,e^2+\frac{5\,B\,a^2\,b^4\,d^6}{2}+15\,A\,a^2\,b^4\,d^5\,e+A\,a\,b^5\,d^6\right)+x^9\,\left(\frac{2\,B\,a^5\,b\,e^6}{3}+10\,B\,a^4\,b^2\,d\,e^5+\frac{5\,A\,a^4\,b^2\,e^6}{3}+\frac{100\,B\,a^3\,b^3\,d^2\,e^4}{3}+\frac{40\,A\,a^3\,b^3\,d\,e^5}{3}+\frac{100\,B\,a^2\,b^4\,d^3\,e^3}{3}+25\,A\,a^2\,b^4\,d^2\,e^4+10\,B\,a\,b^5\,d^4\,e^2+\frac{40\,A\,a\,b^5\,d^3\,e^3}{3}+\frac{2\,B\,b^6\,d^5\,e}{3}+\frac{5\,A\,b^6\,d^4\,e^2}{3}\right)+x^7\,\left(\frac{6\,B\,a^6\,d\,e^5}{7}+\frac{A\,a^6\,e^6}{7}+\frac{90\,B\,a^5\,b\,d^2\,e^4}{7}+\frac{36\,A\,a^5\,b\,d\,e^5}{7}+\frac{300\,B\,a^4\,b^2\,d^3\,e^3}{7}+\frac{225\,A\,a^4\,b^2\,d^2\,e^4}{7}+\frac{300\,B\,a^3\,b^3\,d^4\,e^2}{7}+\frac{400\,A\,a^3\,b^3\,d^3\,e^3}{7}+\frac{90\,B\,a^2\,b^4\,d^5\,e}{7}+\frac{225\,A\,a^2\,b^4\,d^4\,e^2}{7}+\frac{6\,B\,a\,b^5\,d^6}{7}+\frac{36\,A\,a\,b^5\,d^5\,e}{7}+\frac{A\,b^6\,d^6}{7}\right)+x^4\,\left(\frac{15\,B\,a^6\,d^4\,e^2}{4}+5\,A\,a^6\,d^3\,e^3+9\,B\,a^5\,b\,d^5\,e+\frac{45\,A\,a^5\,b\,d^4\,e^2}{2}+\frac{15\,B\,a^4\,b^2\,d^6}{4}+\frac{45\,A\,a^4\,b^2\,d^5\,e}{2}+5\,A\,a^3\,b^3\,d^6\right)+x^8\,\left(\frac{B\,a^6\,e^6}{8}+\frac{9\,B\,a^5\,b\,d\,e^5}{2}+\frac{3\,A\,a^5\,b\,e^6}{4}+\frac{225\,B\,a^4\,b^2\,d^2\,e^4}{8}+\frac{45\,A\,a^4\,b^2\,d\,e^5}{4}+50\,B\,a^3\,b^3\,d^3\,e^3+\frac{75\,A\,a^3\,b^3\,d^2\,e^4}{2}+\frac{225\,B\,a^2\,b^4\,d^4\,e^2}{8}+\frac{75\,A\,a^2\,b^4\,d^3\,e^3}{2}+\frac{9\,B\,a\,b^5\,d^5\,e}{2}+\frac{45\,A\,a\,b^5\,d^4\,e^2}{4}+\frac{B\,b^6\,d^6}{8}+\frac{3\,A\,b^6\,d^5\,e}{4}\right)+x^{11}\,\left(\frac{20\,B\,a^3\,b^3\,e^6}{11}+\frac{90\,B\,a^2\,b^4\,d\,e^5}{11}+\frac{15\,A\,a^2\,b^4\,e^6}{11}+\frac{90\,B\,a\,b^5\,d^2\,e^4}{11}+\frac{36\,A\,a\,b^5\,d\,e^5}{11}+\frac{20\,B\,b^6\,d^3\,e^3}{11}+\frac{15\,A\,b^6\,d^2\,e^4}{11}\right)+\frac{a^5\,d^5\,x^2\,\left(6\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e^5\,x^{13}\,\left(A\,b\,e+6\,B\,a\,e+6\,B\,b\,d\right)}{13}+A\,a^6\,d^6\,x+a^4\,d^4\,x^3\,\left(2\,B\,a^2\,d\,e+5\,A\,a^2\,e^2+2\,B\,a\,b\,d^2+12\,A\,a\,b\,d\,e+5\,A\,b^2\,d^2\right)+\frac{b^4\,e^4\,x^{12}\,\left(5\,B\,a^2\,e^2+12\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+5\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{4}+\frac{B\,b^6\,e^6\,x^{14}}{14}","Not used",1,"x^5*(3*A*a^2*b^4*d^6 + 4*B*a^3*b^3*d^6 + 3*A*a^6*d^2*e^4 + 4*B*a^6*d^3*e^3 + 24*A*a^3*b^3*d^5*e + 24*A*a^5*b*d^3*e^3 + 18*B*a^4*b^2*d^5*e + 18*B*a^5*b*d^4*e^2 + 45*A*a^4*b^2*d^4*e^2) + x^10*(2*A*a^3*b^3*e^6 + (3*B*a^4*b^2*e^6)/2 + 2*A*b^6*d^3*e^3 + (3*B*b^6*d^4*e^2)/2 + 9*A*a*b^5*d^2*e^4 + 9*A*a^2*b^4*d*e^5 + 12*B*a*b^5*d^3*e^3 + 12*B*a^3*b^3*d*e^5 + (45*B*a^2*b^4*d^2*e^4)/2) + x^6*(A*a*b^5*d^6 + A*a^6*d*e^5 + (5*B*a^2*b^4*d^6)/2 + (5*B*a^6*d^2*e^4)/2 + 15*A*a^2*b^4*d^5*e + 15*A*a^5*b*d^2*e^4 + 20*B*a^3*b^3*d^5*e + 20*B*a^5*b*d^3*e^3 + 50*A*a^3*b^3*d^4*e^2 + 50*A*a^4*b^2*d^3*e^3 + (75*B*a^4*b^2*d^4*e^2)/2) + x^9*((2*B*a^5*b*e^6)/3 + (2*B*b^6*d^5*e)/3 + (5*A*a^4*b^2*e^6)/3 + (5*A*b^6*d^4*e^2)/3 + (40*A*a*b^5*d^3*e^3)/3 + (40*A*a^3*b^3*d*e^5)/3 + 10*B*a*b^5*d^4*e^2 + 10*B*a^4*b^2*d*e^5 + 25*A*a^2*b^4*d^2*e^4 + (100*B*a^2*b^4*d^3*e^3)/3 + (100*B*a^3*b^3*d^2*e^4)/3) + x^7*((A*a^6*e^6)/7 + (A*b^6*d^6)/7 + (6*B*a*b^5*d^6)/7 + (6*B*a^6*d*e^5)/7 + (90*B*a^2*b^4*d^5*e)/7 + (90*B*a^5*b*d^2*e^4)/7 + (225*A*a^2*b^4*d^4*e^2)/7 + (400*A*a^3*b^3*d^3*e^3)/7 + (225*A*a^4*b^2*d^2*e^4)/7 + (300*B*a^3*b^3*d^4*e^2)/7 + (300*B*a^4*b^2*d^3*e^3)/7 + (36*A*a*b^5*d^5*e)/7 + (36*A*a^5*b*d*e^5)/7) + x^4*(5*A*a^3*b^3*d^6 + (15*B*a^4*b^2*d^6)/4 + 5*A*a^6*d^3*e^3 + (15*B*a^6*d^4*e^2)/4 + (45*A*a^4*b^2*d^5*e)/2 + (45*A*a^5*b*d^4*e^2)/2 + 9*B*a^5*b*d^5*e) + x^8*((B*a^6*e^6)/8 + (B*b^6*d^6)/8 + (3*A*a^5*b*e^6)/4 + (3*A*b^6*d^5*e)/4 + (45*A*a*b^5*d^4*e^2)/4 + (45*A*a^4*b^2*d*e^5)/4 + (75*A*a^2*b^4*d^3*e^3)/2 + (75*A*a^3*b^3*d^2*e^4)/2 + (225*B*a^2*b^4*d^4*e^2)/8 + 50*B*a^3*b^3*d^3*e^3 + (225*B*a^4*b^2*d^2*e^4)/8 + (9*B*a*b^5*d^5*e)/2 + (9*B*a^5*b*d*e^5)/2) + x^11*((15*A*a^2*b^4*e^6)/11 + (20*B*a^3*b^3*e^6)/11 + (15*A*b^6*d^2*e^4)/11 + (20*B*b^6*d^3*e^3)/11 + (90*B*a*b^5*d^2*e^4)/11 + (90*B*a^2*b^4*d*e^5)/11 + (36*A*a*b^5*d*e^5)/11) + (a^5*d^5*x^2*(6*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e^5*x^13*(A*b*e + 6*B*a*e + 6*B*b*d))/13 + A*a^6*d^6*x + a^4*d^4*x^3*(5*A*a^2*e^2 + 5*A*b^2*d^2 + 2*B*a*b*d^2 + 2*B*a^2*d*e + 12*A*a*b*d*e) + (b^4*e^4*x^12*(5*B*a^2*e^2 + 5*B*b^2*d^2 + 2*A*a*b*e^2 + 2*A*b^2*d*e + 12*B*a*b*d*e))/4 + (B*b^6*e^6*x^14)/14","B"
1054,1,1039,240,1.348359,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^5,x)","x^7\,\left(\frac{B\,a^6\,e^5}{7}+\frac{30\,B\,a^5\,b\,d\,e^4}{7}+\frac{6\,A\,a^5\,b\,e^5}{7}+\frac{150\,B\,a^4\,b^2\,d^2\,e^3}{7}+\frac{75\,A\,a^4\,b^2\,d\,e^4}{7}+\frac{200\,B\,a^3\,b^3\,d^3\,e^2}{7}+\frac{200\,A\,a^3\,b^3\,d^2\,e^3}{7}+\frac{75\,B\,a^2\,b^4\,d^4\,e}{7}+\frac{150\,A\,a^2\,b^4\,d^3\,e^2}{7}+\frac{6\,B\,a\,b^5\,d^5}{7}+\frac{30\,A\,a\,b^5\,d^4\,e}{7}+\frac{A\,b^6\,d^5}{7}\right)+x^3\,\left(\frac{5\,B\,a^6\,d^4\,e}{3}+\frac{10\,A\,a^6\,d^3\,e^2}{3}+2\,B\,a^5\,b\,d^5+10\,A\,a^5\,b\,d^4\,e+5\,A\,a^4\,b^2\,d^5\right)+x^{11}\,\left(\frac{15\,B\,a^2\,b^4\,e^5}{11}+\frac{30\,B\,a\,b^5\,d\,e^4}{11}+\frac{6\,A\,a\,b^5\,e^5}{11}+\frac{10\,B\,b^6\,d^2\,e^3}{11}+\frac{5\,A\,b^6\,d\,e^4}{11}\right)+x^6\,\left(\frac{5\,B\,a^6\,d\,e^4}{6}+\frac{A\,a^6\,e^5}{6}+10\,B\,a^5\,b\,d^2\,e^3+5\,A\,a^5\,b\,d\,e^4+25\,B\,a^4\,b^2\,d^3\,e^2+25\,A\,a^4\,b^2\,d^2\,e^3+\frac{50\,B\,a^3\,b^3\,d^4\,e}{3}+\frac{100\,A\,a^3\,b^3\,d^3\,e^2}{3}+\frac{5\,B\,a^2\,b^4\,d^5}{2}+\frac{25\,A\,a^2\,b^4\,d^4\,e}{2}+A\,a\,b^5\,d^5\right)+x^8\,\left(\frac{3\,B\,a^5\,b\,e^5}{4}+\frac{75\,B\,a^4\,b^2\,d\,e^4}{8}+\frac{15\,A\,a^4\,b^2\,e^5}{8}+25\,B\,a^3\,b^3\,d^2\,e^3+\frac{25\,A\,a^3\,b^3\,d\,e^4}{2}+\frac{75\,B\,a^2\,b^4\,d^3\,e^2}{4}+\frac{75\,A\,a^2\,b^4\,d^2\,e^3}{4}+\frac{15\,B\,a\,b^5\,d^4\,e}{4}+\frac{15\,A\,a\,b^5\,d^3\,e^2}{2}+\frac{B\,b^6\,d^5}{8}+\frac{5\,A\,b^6\,d^4\,e}{8}\right)+x^5\,\left(2\,B\,a^6\,d^2\,e^3+A\,a^6\,d\,e^4+12\,B\,a^5\,b\,d^3\,e^2+12\,A\,a^5\,b\,d^2\,e^3+15\,B\,a^4\,b^2\,d^4\,e+30\,A\,a^4\,b^2\,d^3\,e^2+4\,B\,a^3\,b^3\,d^5+20\,A\,a^3\,b^3\,d^4\,e+3\,A\,a^2\,b^4\,d^5\right)+x^9\,\left(\frac{5\,B\,a^4\,b^2\,e^5}{3}+\frac{100\,B\,a^3\,b^3\,d\,e^4}{9}+\frac{20\,A\,a^3\,b^3\,e^5}{9}+\frac{50\,B\,a^2\,b^4\,d^2\,e^3}{3}+\frac{25\,A\,a^2\,b^4\,d\,e^4}{3}+\frac{20\,B\,a\,b^5\,d^3\,e^2}{3}+\frac{20\,A\,a\,b^5\,d^2\,e^3}{3}+\frac{5\,B\,b^6\,d^4\,e}{9}+\frac{10\,A\,b^6\,d^3\,e^2}{9}\right)+x^4\,\left(\frac{5\,B\,a^6\,d^3\,e^2}{2}+\frac{5\,A\,a^6\,d^2\,e^3}{2}+\frac{15\,B\,a^5\,b\,d^4\,e}{2}+15\,A\,a^5\,b\,d^3\,e^2+\frac{15\,B\,a^4\,b^2\,d^5}{4}+\frac{75\,A\,a^4\,b^2\,d^4\,e}{4}+5\,A\,a^3\,b^3\,d^5\right)+x^{10}\,\left(2\,B\,a^3\,b^3\,e^5+\frac{15\,B\,a^2\,b^4\,d\,e^4}{2}+\frac{3\,A\,a^2\,b^4\,e^5}{2}+6\,B\,a\,b^5\,d^2\,e^3+3\,A\,a\,b^5\,d\,e^4+B\,b^6\,d^3\,e^2+A\,b^6\,d^2\,e^3\right)+\frac{a^5\,d^4\,x^2\,\left(5\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e^4\,x^{12}\,\left(A\,b\,e+6\,B\,a\,e+5\,B\,b\,d\right)}{12}+A\,a^6\,d^5\,x+\frac{B\,b^6\,e^5\,x^{13}}{13}","Not used",1,"x^7*((A*b^6*d^5)/7 + (B*a^6*e^5)/7 + (6*A*a^5*b*e^5)/7 + (6*B*a*b^5*d^5)/7 + (75*A*a^4*b^2*d*e^4)/7 + (75*B*a^2*b^4*d^4*e)/7 + (150*A*a^2*b^4*d^3*e^2)/7 + (200*A*a^3*b^3*d^2*e^3)/7 + (200*B*a^3*b^3*d^3*e^2)/7 + (150*B*a^4*b^2*d^2*e^3)/7 + (30*A*a*b^5*d^4*e)/7 + (30*B*a^5*b*d*e^4)/7) + x^3*(2*B*a^5*b*d^5 + (5*B*a^6*d^4*e)/3 + 5*A*a^4*b^2*d^5 + (10*A*a^6*d^3*e^2)/3 + 10*A*a^5*b*d^4*e) + x^11*((6*A*a*b^5*e^5)/11 + (5*A*b^6*d*e^4)/11 + (15*B*a^2*b^4*e^5)/11 + (10*B*b^6*d^2*e^3)/11 + (30*B*a*b^5*d*e^4)/11) + x^6*((A*a^6*e^5)/6 + A*a*b^5*d^5 + (5*B*a^6*d*e^4)/6 + (5*B*a^2*b^4*d^5)/2 + (25*A*a^2*b^4*d^4*e)/2 + (50*B*a^3*b^3*d^4*e)/3 + 10*B*a^5*b*d^2*e^3 + (100*A*a^3*b^3*d^3*e^2)/3 + 25*A*a^4*b^2*d^2*e^3 + 25*B*a^4*b^2*d^3*e^2 + 5*A*a^5*b*d*e^4) + x^8*((B*b^6*d^5)/8 + (3*B*a^5*b*e^5)/4 + (5*A*b^6*d^4*e)/8 + (15*A*a^4*b^2*e^5)/8 + (15*A*a*b^5*d^3*e^2)/2 + (25*A*a^3*b^3*d*e^4)/2 + (75*B*a^4*b^2*d*e^4)/8 + (75*A*a^2*b^4*d^2*e^3)/4 + (75*B*a^2*b^4*d^3*e^2)/4 + 25*B*a^3*b^3*d^2*e^3 + (15*B*a*b^5*d^4*e)/4) + x^5*(A*a^6*d*e^4 + 3*A*a^2*b^4*d^5 + 4*B*a^3*b^3*d^5 + 2*B*a^6*d^2*e^3 + 20*A*a^3*b^3*d^4*e + 12*A*a^5*b*d^2*e^3 + 15*B*a^4*b^2*d^4*e + 12*B*a^5*b*d^3*e^2 + 30*A*a^4*b^2*d^3*e^2) + x^9*((5*B*b^6*d^4*e)/9 + (20*A*a^3*b^3*e^5)/9 + (5*B*a^4*b^2*e^5)/3 + (10*A*b^6*d^3*e^2)/9 + (20*A*a*b^5*d^2*e^3)/3 + (25*A*a^2*b^4*d*e^4)/3 + (20*B*a*b^5*d^3*e^2)/3 + (100*B*a^3*b^3*d*e^4)/9 + (50*B*a^2*b^4*d^2*e^3)/3) + x^4*(5*A*a^3*b^3*d^5 + (15*B*a^4*b^2*d^5)/4 + (5*A*a^6*d^2*e^3)/2 + (5*B*a^6*d^3*e^2)/2 + (75*A*a^4*b^2*d^4*e)/4 + 15*A*a^5*b*d^3*e^2 + (15*B*a^5*b*d^4*e)/2) + x^10*((3*A*a^2*b^4*e^5)/2 + 2*B*a^3*b^3*e^5 + A*b^6*d^2*e^3 + B*b^6*d^3*e^2 + 6*B*a*b^5*d^2*e^3 + (15*B*a^2*b^4*d*e^4)/2 + 3*A*a*b^5*d*e^4) + (a^5*d^4*x^2*(5*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e^4*x^12*(A*b*e + 6*B*a*e + 5*B*b*d))/12 + A*a^6*d^5*x + (B*b^6*e^5*x^13)/13","B"
1055,1,845,204,1.292485,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^4,x)","x^4\,\left(\frac{3\,B\,a^6\,d^2\,e^2}{2}+A\,a^6\,d\,e^3+6\,B\,a^5\,b\,d^3\,e+9\,A\,a^5\,b\,d^2\,e^2+\frac{15\,B\,a^4\,b^2\,d^4}{4}+15\,A\,a^4\,b^2\,d^3\,e+5\,A\,a^3\,b^3\,d^4\right)+x^9\,\left(\frac{20\,B\,a^3\,b^3\,e^4}{9}+\frac{20\,B\,a^2\,b^4\,d\,e^3}{3}+\frac{5\,A\,a^2\,b^4\,e^4}{3}+4\,B\,a\,b^5\,d^2\,e^2+\frac{8\,A\,a\,b^5\,d\,e^3}{3}+\frac{4\,B\,b^6\,d^3\,e}{9}+\frac{2\,A\,b^6\,d^2\,e^2}{3}\right)+x^3\,\left(\frac{4\,B\,a^6\,d^3\,e}{3}+2\,A\,a^6\,d^2\,e^2+2\,B\,a^5\,b\,d^4+8\,A\,a^5\,b\,d^3\,e+5\,A\,a^4\,b^2\,d^4\right)+x^{10}\,\left(\frac{3\,B\,a^2\,b^4\,e^4}{2}+\frac{12\,B\,a\,b^5\,d\,e^3}{5}+\frac{3\,A\,a\,b^5\,e^4}{5}+\frac{3\,B\,b^6\,d^2\,e^2}{5}+\frac{2\,A\,b^6\,d\,e^3}{5}\right)+x^5\,\left(\frac{4\,B\,a^6\,d\,e^3}{5}+\frac{A\,a^6\,e^4}{5}+\frac{36\,B\,a^5\,b\,d^2\,e^2}{5}+\frac{24\,A\,a^5\,b\,d\,e^3}{5}+12\,B\,a^4\,b^2\,d^3\,e+18\,A\,a^4\,b^2\,d^2\,e^2+4\,B\,a^3\,b^3\,d^4+16\,A\,a^3\,b^3\,d^3\,e+3\,A\,a^2\,b^4\,d^4\right)+x^8\,\left(\frac{15\,B\,a^4\,b^2\,e^4}{8}+10\,B\,a^3\,b^3\,d\,e^3+\frac{5\,A\,a^3\,b^3\,e^4}{2}+\frac{45\,B\,a^2\,b^4\,d^2\,e^2}{4}+\frac{15\,A\,a^2\,b^4\,d\,e^3}{2}+3\,B\,a\,b^5\,d^3\,e+\frac{9\,A\,a\,b^5\,d^2\,e^2}{2}+\frac{B\,b^6\,d^4}{8}+\frac{A\,b^6\,d^3\,e}{2}\right)+x^6\,\left(\frac{B\,a^6\,e^4}{6}+4\,B\,a^5\,b\,d\,e^3+A\,a^5\,b\,e^4+15\,B\,a^4\,b^2\,d^2\,e^2+10\,A\,a^4\,b^2\,d\,e^3+\frac{40\,B\,a^3\,b^3\,d^3\,e}{3}+20\,A\,a^3\,b^3\,d^2\,e^2+\frac{5\,B\,a^2\,b^4\,d^4}{2}+10\,A\,a^2\,b^4\,d^3\,e+A\,a\,b^5\,d^4\right)+x^7\,\left(\frac{6\,B\,a^5\,b\,e^4}{7}+\frac{60\,B\,a^4\,b^2\,d\,e^3}{7}+\frac{15\,A\,a^4\,b^2\,e^4}{7}+\frac{120\,B\,a^3\,b^3\,d^2\,e^2}{7}+\frac{80\,A\,a^3\,b^3\,d\,e^3}{7}+\frac{60\,B\,a^2\,b^4\,d^3\,e}{7}+\frac{90\,A\,a^2\,b^4\,d^2\,e^2}{7}+\frac{6\,B\,a\,b^5\,d^4}{7}+\frac{24\,A\,a\,b^5\,d^3\,e}{7}+\frac{A\,b^6\,d^4}{7}\right)+\frac{a^5\,d^3\,x^2\,\left(4\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e^3\,x^{11}\,\left(A\,b\,e+6\,B\,a\,e+4\,B\,b\,d\right)}{11}+A\,a^6\,d^4\,x+\frac{B\,b^6\,e^4\,x^{12}}{12}","Not used",1,"x^4*(A*a^6*d*e^3 + 5*A*a^3*b^3*d^4 + (15*B*a^4*b^2*d^4)/4 + (3*B*a^6*d^2*e^2)/2 + 15*A*a^4*b^2*d^3*e + 9*A*a^5*b*d^2*e^2 + 6*B*a^5*b*d^3*e) + x^9*((4*B*b^6*d^3*e)/9 + (5*A*a^2*b^4*e^4)/3 + (20*B*a^3*b^3*e^4)/9 + (2*A*b^6*d^2*e^2)/3 + 4*B*a*b^5*d^2*e^2 + (20*B*a^2*b^4*d*e^3)/3 + (8*A*a*b^5*d*e^3)/3) + x^3*(2*B*a^5*b*d^4 + (4*B*a^6*d^3*e)/3 + 5*A*a^4*b^2*d^4 + 2*A*a^6*d^2*e^2 + 8*A*a^5*b*d^3*e) + x^10*((3*A*a*b^5*e^4)/5 + (2*A*b^6*d*e^3)/5 + (3*B*a^2*b^4*e^4)/2 + (3*B*b^6*d^2*e^2)/5 + (12*B*a*b^5*d*e^3)/5) + x^5*((A*a^6*e^4)/5 + (4*B*a^6*d*e^3)/5 + 3*A*a^2*b^4*d^4 + 4*B*a^3*b^3*d^4 + 16*A*a^3*b^3*d^3*e + 12*B*a^4*b^2*d^3*e + (36*B*a^5*b*d^2*e^2)/5 + 18*A*a^4*b^2*d^2*e^2 + (24*A*a^5*b*d*e^3)/5) + x^8*((B*b^6*d^4)/8 + (A*b^6*d^3*e)/2 + (5*A*a^3*b^3*e^4)/2 + (15*B*a^4*b^2*e^4)/8 + (9*A*a*b^5*d^2*e^2)/2 + (15*A*a^2*b^4*d*e^3)/2 + 10*B*a^3*b^3*d*e^3 + (45*B*a^2*b^4*d^2*e^2)/4 + 3*B*a*b^5*d^3*e) + x^6*((B*a^6*e^4)/6 + A*a*b^5*d^4 + A*a^5*b*e^4 + (5*B*a^2*b^4*d^4)/2 + 10*A*a^2*b^4*d^3*e + 10*A*a^4*b^2*d*e^3 + (40*B*a^3*b^3*d^3*e)/3 + 20*A*a^3*b^3*d^2*e^2 + 15*B*a^4*b^2*d^2*e^2 + 4*B*a^5*b*d*e^3) + x^7*((A*b^6*d^4)/7 + (6*B*a*b^5*d^4)/7 + (6*B*a^5*b*e^4)/7 + (15*A*a^4*b^2*e^4)/7 + (80*A*a^3*b^3*d*e^3)/7 + (60*B*a^2*b^4*d^3*e)/7 + (60*B*a^4*b^2*d*e^3)/7 + (90*A*a^2*b^4*d^2*e^2)/7 + (120*B*a^3*b^3*d^2*e^2)/7 + (24*A*a*b^5*d^3*e)/7) + (a^5*d^3*x^2*(4*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e^3*x^11*(A*b*e + 6*B*a*e + 4*B*b*d))/11 + A*a^6*d^4*x + (B*b^6*e^4*x^12)/12","B"
1056,1,649,159,1.239498,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^3,x)","x^3\,\left(B\,a^6\,d^2\,e+A\,a^6\,d\,e^2+2\,B\,a^5\,b\,d^3+6\,A\,a^5\,b\,d^2\,e+5\,A\,a^4\,b^2\,d^3\right)+x^9\,\left(\frac{5\,B\,a^2\,b^4\,e^3}{3}+2\,B\,a\,b^5\,d\,e^2+\frac{2\,A\,a\,b^5\,e^3}{3}+\frac{B\,b^6\,d^2\,e}{3}+\frac{A\,b^6\,d\,e^2}{3}\right)+x^4\,\left(\frac{3\,B\,a^6\,d\,e^2}{4}+\frac{A\,a^6\,e^3}{4}+\frac{9\,B\,a^5\,b\,d^2\,e}{2}+\frac{9\,A\,a^5\,b\,d\,e^2}{2}+\frac{15\,B\,a^4\,b^2\,d^3}{4}+\frac{45\,A\,a^4\,b^2\,d^2\,e}{4}+5\,A\,a^3\,b^3\,d^3\right)+x^8\,\left(\frac{5\,B\,a^3\,b^3\,e^3}{2}+\frac{45\,B\,a^2\,b^4\,d\,e^2}{8}+\frac{15\,A\,a^2\,b^4\,e^3}{8}+\frac{9\,B\,a\,b^5\,d^2\,e}{4}+\frac{9\,A\,a\,b^5\,d\,e^2}{4}+\frac{B\,b^6\,d^3}{8}+\frac{3\,A\,b^6\,d^2\,e}{8}\right)+x^6\,\left(B\,a^5\,b\,e^3+\frac{15\,B\,a^4\,b^2\,d\,e^2}{2}+\frac{5\,A\,a^4\,b^2\,e^3}{2}+10\,B\,a^3\,b^3\,d^2\,e+10\,A\,a^3\,b^3\,d\,e^2+\frac{5\,B\,a^2\,b^4\,d^3}{2}+\frac{15\,A\,a^2\,b^4\,d^2\,e}{2}+A\,a\,b^5\,d^3\right)+x^5\,\left(\frac{B\,a^6\,e^3}{5}+\frac{18\,B\,a^5\,b\,d\,e^2}{5}+\frac{6\,A\,a^5\,b\,e^3}{5}+9\,B\,a^4\,b^2\,d^2\,e+9\,A\,a^4\,b^2\,d\,e^2+4\,B\,a^3\,b^3\,d^3+12\,A\,a^3\,b^3\,d^2\,e+3\,A\,a^2\,b^4\,d^3\right)+x^7\,\left(\frac{15\,B\,a^4\,b^2\,e^3}{7}+\frac{60\,B\,a^3\,b^3\,d\,e^2}{7}+\frac{20\,A\,a^3\,b^3\,e^3}{7}+\frac{45\,B\,a^2\,b^4\,d^2\,e}{7}+\frac{45\,A\,a^2\,b^4\,d\,e^2}{7}+\frac{6\,B\,a\,b^5\,d^3}{7}+\frac{18\,A\,a\,b^5\,d^2\,e}{7}+\frac{A\,b^6\,d^3}{7}\right)+\frac{a^5\,d^2\,x^2\,\left(3\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e^2\,x^{10}\,\left(A\,b\,e+6\,B\,a\,e+3\,B\,b\,d\right)}{10}+A\,a^6\,d^3\,x+\frac{B\,b^6\,e^3\,x^{11}}{11}","Not used",1,"x^3*(2*B*a^5*b*d^3 + A*a^6*d*e^2 + B*a^6*d^2*e + 5*A*a^4*b^2*d^3 + 6*A*a^5*b*d^2*e) + x^9*((2*A*a*b^5*e^3)/3 + (A*b^6*d*e^2)/3 + (B*b^6*d^2*e)/3 + (5*B*a^2*b^4*e^3)/3 + 2*B*a*b^5*d*e^2) + x^4*((A*a^6*e^3)/4 + (3*B*a^6*d*e^2)/4 + 5*A*a^3*b^3*d^3 + (15*B*a^4*b^2*d^3)/4 + (45*A*a^4*b^2*d^2*e)/4 + (9*A*a^5*b*d*e^2)/2 + (9*B*a^5*b*d^2*e)/2) + x^8*((B*b^6*d^3)/8 + (3*A*b^6*d^2*e)/8 + (15*A*a^2*b^4*e^3)/8 + (5*B*a^3*b^3*e^3)/2 + (45*B*a^2*b^4*d*e^2)/8 + (9*A*a*b^5*d*e^2)/4 + (9*B*a*b^5*d^2*e)/4) + x^6*(A*a*b^5*d^3 + B*a^5*b*e^3 + (5*A*a^4*b^2*e^3)/2 + (5*B*a^2*b^4*d^3)/2 + (15*A*a^2*b^4*d^2*e)/2 + 10*A*a^3*b^3*d*e^2 + 10*B*a^3*b^3*d^2*e + (15*B*a^4*b^2*d*e^2)/2) + x^5*((B*a^6*e^3)/5 + (6*A*a^5*b*e^3)/5 + 3*A*a^2*b^4*d^3 + 4*B*a^3*b^3*d^3 + 12*A*a^3*b^3*d^2*e + 9*A*a^4*b^2*d*e^2 + 9*B*a^4*b^2*d^2*e + (18*B*a^5*b*d*e^2)/5) + x^7*((A*b^6*d^3)/7 + (6*B*a*b^5*d^3)/7 + (20*A*a^3*b^3*e^3)/7 + (15*B*a^4*b^2*e^3)/7 + (45*A*a^2*b^4*d*e^2)/7 + (45*B*a^2*b^4*d^2*e)/7 + (60*B*a^3*b^3*d*e^2)/7 + (18*A*a*b^5*d^2*e)/7) + (a^5*d^2*x^2*(3*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e^2*x^10*(A*b*e + 6*B*a*e + 3*B*b*d))/10 + A*a^6*d^3*x + (B*b^6*e^3*x^11)/11","B"
1057,1,457,118,1.196387,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x)^2,x)","x^4\,\left(\frac{B\,a^6\,e^2}{4}+3\,B\,a^5\,b\,d\,e+\frac{3\,A\,a^5\,b\,e^2}{2}+\frac{15\,B\,a^4\,b^2\,d^2}{4}+\frac{15\,A\,a^4\,b^2\,d\,e}{2}+5\,A\,a^3\,b^3\,d^2\right)+x^7\,\left(\frac{20\,B\,a^3\,b^3\,e^2}{7}+\frac{30\,B\,a^2\,b^4\,d\,e}{7}+\frac{15\,A\,a^2\,b^4\,e^2}{7}+\frac{6\,B\,a\,b^5\,d^2}{7}+\frac{12\,A\,a\,b^5\,d\,e}{7}+\frac{A\,b^6\,d^2}{7}\right)+x^5\,\left(\frac{6\,B\,a^5\,b\,e^2}{5}+6\,B\,a^4\,b^2\,d\,e+3\,A\,a^4\,b^2\,e^2+4\,B\,a^3\,b^3\,d^2+8\,A\,a^3\,b^3\,d\,e+3\,A\,a^2\,b^4\,d^2\right)+x^6\,\left(\frac{5\,B\,a^4\,b^2\,e^2}{2}+\frac{20\,B\,a^3\,b^3\,d\,e}{3}+\frac{10\,A\,a^3\,b^3\,e^2}{3}+\frac{5\,B\,a^2\,b^4\,d^2}{2}+5\,A\,a^2\,b^4\,d\,e+A\,a\,b^5\,d^2\right)+x^3\,\left(\frac{2\,B\,a^6\,d\,e}{3}+\frac{A\,a^6\,e^2}{3}+2\,B\,a^5\,b\,d^2+4\,A\,a^5\,b\,d\,e+5\,A\,a^4\,b^2\,d^2\right)+x^8\,\left(\frac{15\,B\,a^2\,b^4\,e^2}{8}+\frac{3\,B\,a\,b^5\,d\,e}{2}+\frac{3\,A\,a\,b^5\,e^2}{4}+\frac{B\,b^6\,d^2}{8}+\frac{A\,b^6\,d\,e}{4}\right)+A\,a^6\,d^2\,x+\frac{a^5\,d\,x^2\,\left(2\,A\,a\,e+6\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^5\,e\,x^9\,\left(A\,b\,e+6\,B\,a\,e+2\,B\,b\,d\right)}{9}+\frac{B\,b^6\,e^2\,x^{10}}{10}","Not used",1,"x^4*((B*a^6*e^2)/4 + (3*A*a^5*b*e^2)/2 + 5*A*a^3*b^3*d^2 + (15*B*a^4*b^2*d^2)/4 + 3*B*a^5*b*d*e + (15*A*a^4*b^2*d*e)/2) + x^7*((A*b^6*d^2)/7 + (6*B*a*b^5*d^2)/7 + (15*A*a^2*b^4*e^2)/7 + (20*B*a^3*b^3*e^2)/7 + (12*A*a*b^5*d*e)/7 + (30*B*a^2*b^4*d*e)/7) + x^5*((6*B*a^5*b*e^2)/5 + 3*A*a^2*b^4*d^2 + 3*A*a^4*b^2*e^2 + 4*B*a^3*b^3*d^2 + 8*A*a^3*b^3*d*e + 6*B*a^4*b^2*d*e) + x^6*(A*a*b^5*d^2 + (10*A*a^3*b^3*e^2)/3 + (5*B*a^2*b^4*d^2)/2 + (5*B*a^4*b^2*e^2)/2 + 5*A*a^2*b^4*d*e + (20*B*a^3*b^3*d*e)/3) + x^3*((A*a^6*e^2)/3 + (2*B*a^6*d*e)/3 + 2*B*a^5*b*d^2 + 5*A*a^4*b^2*d^2 + 4*A*a^5*b*d*e) + x^8*((B*b^6*d^2)/8 + (A*b^6*d*e)/4 + (3*A*a*b^5*e^2)/4 + (15*B*a^2*b^4*e^2)/8 + (3*B*a*b^5*d*e)/2) + A*a^6*d^2*x + (a^5*d*x^2*(2*A*a*e + 6*A*b*d + B*a*d))/2 + (b^5*e*x^9*(A*b*e + 6*B*a*e + 2*B*b*d))/9 + (B*b^6*e^2*x^10)/10","B"
1058,1,257,75,0.137335,"\text{Not used}","int((A + B*x)*(a + b*x)^6*(d + e*x),x)","x^3\,\left(\frac{B\,a^6\,e}{3}+2\,A\,a^5\,b\,e+2\,B\,a^5\,b\,d+5\,A\,a^4\,b^2\,d\right)+x^7\,\left(\frac{A\,b^6\,d}{7}+\frac{6\,A\,a\,b^5\,e}{7}+\frac{6\,B\,a\,b^5\,d}{7}+\frac{15\,B\,a^2\,b^4\,e}{7}\right)+x^2\,\left(\frac{A\,a^6\,e}{2}+\frac{B\,a^6\,d}{2}+3\,A\,a^5\,b\,d\right)+x^8\,\left(\frac{A\,b^6\,e}{8}+\frac{B\,b^6\,d}{8}+\frac{3\,B\,a\,b^5\,e}{4}\right)+a^2\,b^2\,x^5\,\left(3\,A\,b^2\,d+3\,B\,a^2\,e+4\,A\,a\,b\,e+4\,B\,a\,b\,d\right)+A\,a^6\,d\,x+\frac{B\,b^6\,e\,x^9}{9}+\frac{a^3\,b\,x^4\,\left(20\,A\,b^2\,d+6\,B\,a^2\,e+15\,A\,a\,b\,e+15\,B\,a\,b\,d\right)}{4}+\frac{a\,b^3\,x^6\,\left(6\,A\,b^2\,d+20\,B\,a^2\,e+15\,A\,a\,b\,e+15\,B\,a\,b\,d\right)}{6}","Not used",1,"x^3*((B*a^6*e)/3 + 2*A*a^5*b*e + 2*B*a^5*b*d + 5*A*a^4*b^2*d) + x^7*((A*b^6*d)/7 + (6*A*a*b^5*e)/7 + (6*B*a*b^5*d)/7 + (15*B*a^2*b^4*e)/7) + x^2*((A*a^6*e)/2 + (B*a^6*d)/2 + 3*A*a^5*b*d) + x^8*((A*b^6*e)/8 + (B*b^6*d)/8 + (3*B*a*b^5*e)/4) + a^2*b^2*x^5*(3*A*b^2*d + 3*B*a^2*e + 4*A*a*b*e + 4*B*a*b*d) + A*a^6*d*x + (B*b^6*e*x^9)/9 + (a^3*b*x^4*(20*A*b^2*d + 6*B*a^2*e + 15*A*a*b*e + 15*B*a*b*d))/4 + (a*b^3*x^6*(6*A*b^2*d + 20*B*a^2*e + 15*A*a*b*e + 15*B*a*b*d))/6","B"
1059,1,126,38,0.076653,"\text{Not used}","int((A + B*x)*(a + b*x)^6,x)","x^2\,\left(\frac{B\,a^6}{2}+3\,A\,b\,a^5\right)+x^7\,\left(\frac{A\,b^6}{7}+\frac{6\,B\,a\,b^5}{7}\right)+\frac{B\,b^6\,x^8}{8}+A\,a^6\,x+\frac{5\,a^3\,b^2\,x^4\,\left(4\,A\,b+3\,B\,a\right)}{4}+a^2\,b^3\,x^5\,\left(3\,A\,b+4\,B\,a\right)+a^4\,b\,x^3\,\left(5\,A\,b+2\,B\,a\right)+\frac{a\,b^4\,x^6\,\left(2\,A\,b+5\,B\,a\right)}{2}","Not used",1,"x^2*((B*a^6)/2 + 3*A*a^5*b) + x^7*((A*b^6)/7 + (6*B*a*b^5)/7) + (B*b^6*x^8)/8 + A*a^6*x + (5*a^3*b^2*x^4*(4*A*b + 3*B*a))/4 + a^2*b^3*x^5*(3*A*b + 4*B*a) + a^4*b*x^3*(5*A*b + 2*B*a) + (a*b^4*x^6*(2*A*b + 5*B*a))/2","B"
1060,1,769,220,1.129369,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x),x)","x\,\left(\frac{B\,a^6+6\,A\,b\,a^5}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e}-\frac{B\,b^6\,d}{e^2}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e}\right)}{e}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e}\right)}{e}-\frac{5\,a^3\,b^2\,\left(4\,A\,b+3\,B\,a\right)}{e}\right)}{e}+\frac{3\,a^4\,b\,\left(5\,A\,b+2\,B\,a\right)}{e}\right)}{e}\right)-x^3\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e}-\frac{B\,b^6\,d}{e^2}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e}\right)}{e}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e}\right)}{3\,e}-\frac{5\,a^3\,b^2\,\left(4\,A\,b+3\,B\,a\right)}{3\,e}\right)+x^4\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e}-\frac{B\,b^6\,d}{e^2}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e}\right)}{4\,e}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{4\,e}\right)-x^5\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e}-\frac{B\,b^6\,d}{e^2}\right)}{5\,e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{5\,e}\right)+x^6\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{6\,e}-\frac{B\,b^6\,d}{6\,e^2}\right)+x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e}-\frac{B\,b^6\,d}{e^2}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e}\right)}{e}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e}\right)}{e}-\frac{5\,a^3\,b^2\,\left(4\,A\,b+3\,B\,a\right)}{e}\right)}{2\,e}+\frac{3\,a^4\,b\,\left(5\,A\,b+2\,B\,a\right)}{2\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^6\,d\,e^6+A\,a^6\,e^7+6\,B\,a^5\,b\,d^2\,e^5-6\,A\,a^5\,b\,d\,e^6-15\,B\,a^4\,b^2\,d^3\,e^4+15\,A\,a^4\,b^2\,d^2\,e^5+20\,B\,a^3\,b^3\,d^4\,e^3-20\,A\,a^3\,b^3\,d^3\,e^4-15\,B\,a^2\,b^4\,d^5\,e^2+15\,A\,a^2\,b^4\,d^4\,e^3+6\,B\,a\,b^5\,d^6\,e-6\,A\,a\,b^5\,d^5\,e^2-B\,b^6\,d^7+A\,b^6\,d^6\,e\right)}{e^8}+\frac{B\,b^6\,x^7}{7\,e}","Not used",1,"x*((B*a^6 + 6*A*a^5*b)/e - (d*((d*((d*((d*((d*((A*b^6 + 6*B*a*b^5)/e - (B*b^6*d)/e^2))/e - (3*a*b^4*(2*A*b + 5*B*a))/e))/e + (5*a^2*b^3*(3*A*b + 4*B*a))/e))/e - (5*a^3*b^2*(4*A*b + 3*B*a))/e))/e + (3*a^4*b*(5*A*b + 2*B*a))/e))/e) - x^3*((d*((d*((d*((A*b^6 + 6*B*a*b^5)/e - (B*b^6*d)/e^2))/e - (3*a*b^4*(2*A*b + 5*B*a))/e))/e + (5*a^2*b^3*(3*A*b + 4*B*a))/e))/(3*e) - (5*a^3*b^2*(4*A*b + 3*B*a))/(3*e)) + x^4*((d*((d*((A*b^6 + 6*B*a*b^5)/e - (B*b^6*d)/e^2))/e - (3*a*b^4*(2*A*b + 5*B*a))/e))/(4*e) + (5*a^2*b^3*(3*A*b + 4*B*a))/(4*e)) - x^5*((d*((A*b^6 + 6*B*a*b^5)/e - (B*b^6*d)/e^2))/(5*e) - (3*a*b^4*(2*A*b + 5*B*a))/(5*e)) + x^6*((A*b^6 + 6*B*a*b^5)/(6*e) - (B*b^6*d)/(6*e^2)) + x^2*((d*((d*((d*((d*((A*b^6 + 6*B*a*b^5)/e - (B*b^6*d)/e^2))/e - (3*a*b^4*(2*A*b + 5*B*a))/e))/e + (5*a^2*b^3*(3*A*b + 4*B*a))/e))/e - (5*a^3*b^2*(4*A*b + 3*B*a))/e))/(2*e) + (3*a^4*b*(5*A*b + 2*B*a))/(2*e)) + (log(d + e*x)*(A*a^6*e^7 - B*b^6*d^7 + A*b^6*d^6*e - B*a^6*d*e^6 - 6*A*a*b^5*d^5*e^2 + 6*B*a^5*b*d^2*e^5 + 15*A*a^2*b^4*d^4*e^3 - 20*A*a^3*b^3*d^3*e^4 + 15*A*a^4*b^2*d^2*e^5 - 15*B*a^2*b^4*d^5*e^2 + 20*B*a^3*b^3*d^4*e^3 - 15*B*a^4*b^2*d^3*e^4 - 6*A*a^5*b*d*e^6 + 6*B*a*b^5*d^6*e))/e^8 + (B*b^6*x^7)/(7*e)","B"
1061,1,1228,277,1.166911,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^2,x)","x^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^2}+\frac{B\,b^6\,d^2}{e^4}\right)}{2\,e^2}-\frac{d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^2}+\frac{B\,b^6\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e^2}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e^2}\right)}{e}+\frac{5\,a^3\,b^2\,\left(4\,A\,b+3\,B\,a\right)}{2\,e^2}\right)-x^4\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{2\,e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{4\,e^2}+\frac{B\,b^6\,d^2}{4\,e^4}\right)-x\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^2}+\frac{B\,b^6\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e^2}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^2}+\frac{B\,b^6\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^2}+\frac{B\,b^6\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e^2}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e^2}\right)}{e}+\frac{5\,a^3\,b^2\,\left(4\,A\,b+3\,B\,a\right)}{e^2}\right)}{e}-\frac{3\,a^4\,b\,\left(5\,A\,b+2\,B\,a\right)}{e^2}\right)+x^3\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^2}+\frac{B\,b^6\,d^2}{e^4}\right)}{3\,e}-\frac{d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^2}-\frac{2\,B\,b^6\,d}{e^3}\right)}{3\,e^2}+\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{3\,e^2}\right)+x^5\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{5\,e^2}-\frac{2\,B\,b^6\,d}{5\,e^3}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^6\,e^6-12\,B\,a^5\,b\,d\,e^5+6\,A\,a^5\,b\,e^6+45\,B\,a^4\,b^2\,d^2\,e^4-30\,A\,a^4\,b^2\,d\,e^5-80\,B\,a^3\,b^3\,d^3\,e^3+60\,A\,a^3\,b^3\,d^2\,e^4+75\,B\,a^2\,b^4\,d^4\,e^2-60\,A\,a^2\,b^4\,d^3\,e^3-36\,B\,a\,b^5\,d^5\,e+30\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6-6\,A\,b^6\,d^5\,e\right)}{e^8}-\frac{-B\,a^6\,d\,e^6+A\,a^6\,e^7+6\,B\,a^5\,b\,d^2\,e^5-6\,A\,a^5\,b\,d\,e^6-15\,B\,a^4\,b^2\,d^3\,e^4+15\,A\,a^4\,b^2\,d^2\,e^5+20\,B\,a^3\,b^3\,d^4\,e^3-20\,A\,a^3\,b^3\,d^3\,e^4-15\,B\,a^2\,b^4\,d^5\,e^2+15\,A\,a^2\,b^4\,d^4\,e^3+6\,B\,a\,b^5\,d^6\,e-6\,A\,a\,b^5\,d^5\,e^2-B\,b^6\,d^7+A\,b^6\,d^6\,e}{e\,\left(x\,e^8+d\,e^7\right)}+\frac{B\,b^6\,x^6}{6\,e^2}","Not used",1,"x^2*((d^2*((2*d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^2 + (B*b^6*d^2)/e^4))/(2*e^2) - (d*((2*d*((2*d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^2 + (B*b^6*d^2)/e^4))/e - (d^2*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e^2 + (5*a^2*b^3*(3*A*b + 4*B*a))/e^2))/e + (5*a^3*b^2*(4*A*b + 3*B*a))/(2*e^2)) - x^4*((d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/(2*e) - (3*a*b^4*(2*A*b + 5*B*a))/(4*e^2) + (B*b^6*d^2)/(4*e^4)) - x*((d^2*((2*d*((2*d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^2 + (B*b^6*d^2)/e^4))/e - (d^2*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e^2 + (5*a^2*b^3*(3*A*b + 4*B*a))/e^2))/e^2 + (2*d*((d^2*((2*d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^2 + (B*b^6*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^2 + (B*b^6*d^2)/e^4))/e - (d^2*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e^2 + (5*a^2*b^3*(3*A*b + 4*B*a))/e^2))/e + (5*a^3*b^2*(4*A*b + 3*B*a))/e^2))/e - (3*a^4*b*(5*A*b + 2*B*a))/e^2) + x^3*((2*d*((2*d*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^2 + (B*b^6*d^2)/e^4))/(3*e) - (d^2*((A*b^6 + 6*B*a*b^5)/e^2 - (2*B*b^6*d)/e^3))/(3*e^2) + (5*a^2*b^3*(3*A*b + 4*B*a))/(3*e^2)) + x^5*((A*b^6 + 6*B*a*b^5)/(5*e^2) - (2*B*b^6*d)/(5*e^3)) + (log(d + e*x)*(B*a^6*e^6 + 7*B*b^6*d^6 + 6*A*a^5*b*e^6 - 6*A*b^6*d^5*e + 30*A*a*b^5*d^4*e^2 - 30*A*a^4*b^2*d*e^5 - 60*A*a^2*b^4*d^3*e^3 + 60*A*a^3*b^3*d^2*e^4 + 75*B*a^2*b^4*d^4*e^2 - 80*B*a^3*b^3*d^3*e^3 + 45*B*a^4*b^2*d^2*e^4 - 36*B*a*b^5*d^5*e - 12*B*a^5*b*d*e^5))/e^8 - (A*a^6*e^7 - B*b^6*d^7 + A*b^6*d^6*e - B*a^6*d*e^6 - 6*A*a*b^5*d^5*e^2 + 6*B*a^5*b*d^2*e^5 + 15*A*a^2*b^4*d^4*e^3 - 20*A*a^3*b^3*d^3*e^4 + 15*A*a^4*b^2*d^2*e^5 - 15*B*a^2*b^4*d^5*e^2 + 20*B*a^3*b^3*d^4*e^3 - 15*B*a^4*b^2*d^3*e^4 - 6*A*a^5*b*d*e^6 + 6*B*a*b^5*d^6*e)/(e*(d*e^7 + e^8*x)) + (B*b^6*x^6)/(6*e^2)","B"
1062,1,1053,276,0.172618,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^3,x)","x\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^3}+\frac{3\,B\,b^6\,d^2}{e^5}\right)}{e}-\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e^3}+\frac{B\,b^6\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^3}+\frac{3\,B\,b^6\,d^2}{e^5}\right)}{e^2}+\frac{5\,a^3\,b^2\,\left(4\,A\,b+3\,B\,a\right)}{e^3}\right)-x^3\,\left(\frac{d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{e}-\frac{a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^3}+\frac{B\,b^6\,d^2}{e^5}\right)-x^2\,\left(\frac{3\,d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{2\,e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^3}-\frac{3\,B\,b^6\,d}{e^4}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^3}+\frac{3\,B\,b^6\,d^2}{e^5}\right)}{2\,e}-\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{2\,e^3}+\frac{B\,b^6\,d^3}{2\,e^6}\right)-\frac{\frac{B\,a^6\,d\,e^6+A\,a^6\,e^7-18\,B\,a^5\,b\,d^2\,e^5+6\,A\,a^5\,b\,d\,e^6+75\,B\,a^4\,b^2\,d^3\,e^4-45\,A\,a^4\,b^2\,d^2\,e^5-140\,B\,a^3\,b^3\,d^4\,e^3+100\,A\,a^3\,b^3\,d^3\,e^4+135\,B\,a^2\,b^4\,d^5\,e^2-105\,A\,a^2\,b^4\,d^4\,e^3-66\,B\,a\,b^5\,d^6\,e+54\,A\,a\,b^5\,d^5\,e^2+13\,B\,b^6\,d^7-11\,A\,b^6\,d^6\,e}{2\,e}+x\,\left(B\,a^6\,e^6-12\,B\,a^5\,b\,d\,e^5+6\,A\,a^5\,b\,e^6+45\,B\,a^4\,b^2\,d^2\,e^4-30\,A\,a^4\,b^2\,d\,e^5-80\,B\,a^3\,b^3\,d^3\,e^3+60\,A\,a^3\,b^3\,d^2\,e^4+75\,B\,a^2\,b^4\,d^4\,e^2-60\,A\,a^2\,b^4\,d^3\,e^3-36\,B\,a\,b^5\,d^5\,e+30\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6-6\,A\,b^6\,d^5\,e\right)}{d^2\,e^7+2\,d\,e^8\,x+e^9\,x^2}+x^4\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{4\,e^3}-\frac{3\,B\,b^6\,d}{4\,e^4}\right)+\frac{\ln\left(d+e\,x\right)\,\left(6\,B\,a^5\,b\,e^5-45\,B\,a^4\,b^2\,d\,e^4+15\,A\,a^4\,b^2\,e^5+120\,B\,a^3\,b^3\,d^2\,e^3-60\,A\,a^3\,b^3\,d\,e^4-150\,B\,a^2\,b^4\,d^3\,e^2+90\,A\,a^2\,b^4\,d^2\,e^3+90\,B\,a\,b^5\,d^4\,e-60\,A\,a\,b^5\,d^3\,e^2-21\,B\,b^6\,d^5+15\,A\,b^6\,d^4\,e\right)}{e^8}+\frac{B\,b^6\,x^5}{5\,e^3}","Not used",1,"x*((3*d*((3*d^2*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/e^2 - (3*d*((3*d*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^3 + (3*B*b^6*d^2)/e^5))/e - (5*a^2*b^3*(3*A*b + 4*B*a))/e^3 + (B*b^6*d^3)/e^6))/e - (d^3*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^3 + (3*B*b^6*d^2)/e^5))/e^2 + (5*a^3*b^2*(4*A*b + 3*B*a))/e^3) - x^3*((d*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/e - (a*b^4*(2*A*b + 5*B*a))/e^3 + (B*b^6*d^2)/e^5) - x^2*((3*d^2*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/(2*e^2) - (3*d*((3*d*((A*b^6 + 6*B*a*b^5)/e^3 - (3*B*b^6*d)/e^4))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^3 + (3*B*b^6*d^2)/e^5))/(2*e) - (5*a^2*b^3*(3*A*b + 4*B*a))/(2*e^3) + (B*b^6*d^3)/(2*e^6)) - ((A*a^6*e^7 + 13*B*b^6*d^7 - 11*A*b^6*d^6*e + B*a^6*d*e^6 + 54*A*a*b^5*d^5*e^2 - 18*B*a^5*b*d^2*e^5 - 105*A*a^2*b^4*d^4*e^3 + 100*A*a^3*b^3*d^3*e^4 - 45*A*a^4*b^2*d^2*e^5 + 135*B*a^2*b^4*d^5*e^2 - 140*B*a^3*b^3*d^4*e^3 + 75*B*a^4*b^2*d^3*e^4 + 6*A*a^5*b*d*e^6 - 66*B*a*b^5*d^6*e)/(2*e) + x*(B*a^6*e^6 + 7*B*b^6*d^6 + 6*A*a^5*b*e^6 - 6*A*b^6*d^5*e + 30*A*a*b^5*d^4*e^2 - 30*A*a^4*b^2*d*e^5 - 60*A*a^2*b^4*d^3*e^3 + 60*A*a^3*b^3*d^2*e^4 + 75*B*a^2*b^4*d^4*e^2 - 80*B*a^3*b^3*d^3*e^3 + 45*B*a^4*b^2*d^2*e^4 - 36*B*a*b^5*d^5*e - 12*B*a^5*b*d*e^5))/(d^2*e^7 + e^9*x^2 + 2*d*e^8*x) + x^4*((A*b^6 + 6*B*a*b^5)/(4*e^3) - (3*B*b^6*d)/(4*e^4)) + (log(d + e*x)*(6*B*a^5*b*e^5 - 21*B*b^6*d^5 + 15*A*b^6*d^4*e + 15*A*a^4*b^2*e^5 - 60*A*a*b^5*d^3*e^2 - 60*A*a^3*b^3*d*e^4 - 45*B*a^4*b^2*d*e^4 + 90*A*a^2*b^4*d^2*e^3 - 150*B*a^2*b^4*d^3*e^2 + 120*B*a^3*b^3*d^2*e^3 + 90*B*a*b^5*d^4*e))/e^8 + (B*b^6*x^5)/(5*e^3)","B"
1063,1,907,279,1.215907,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^4,x)","x^3\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{3\,e^4}-\frac{4\,B\,b^6\,d}{3\,e^5}\right)-x^2\,\left(\frac{2\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^4}-\frac{4\,B\,b^6\,d}{e^5}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{2\,e^4}+\frac{3\,B\,b^6\,d^2}{e^6}\right)-\frac{\frac{B\,a^6\,d\,e^6+2\,A\,a^6\,e^7+12\,B\,a^5\,b\,d^2\,e^5+6\,A\,a^5\,b\,d\,e^6-165\,B\,a^4\,b^2\,d^3\,e^4+30\,A\,a^4\,b^2\,d^2\,e^5+520\,B\,a^3\,b^3\,d^4\,e^3-220\,A\,a^3\,b^3\,d^3\,e^4-705\,B\,a^2\,b^4\,d^5\,e^2+390\,A\,a^2\,b^4\,d^4\,e^3+444\,B\,a\,b^5\,d^6\,e-282\,A\,a\,b^5\,d^5\,e^2-107\,B\,b^6\,d^7+74\,A\,b^6\,d^6\,e}{6\,e}+x\,\left(\frac{B\,a^6\,e^6}{2}+6\,B\,a^5\,b\,d\,e^5+3\,A\,a^5\,b\,e^6-\frac{135\,B\,a^4\,b^2\,d^2\,e^4}{2}+15\,A\,a^4\,b^2\,d\,e^5+200\,B\,a^3\,b^3\,d^3\,e^3-90\,A\,a^3\,b^3\,d^2\,e^4-\frac{525\,B\,a^2\,b^4\,d^4\,e^2}{2}+150\,A\,a^2\,b^4\,d^3\,e^3+162\,B\,a\,b^5\,d^5\,e-105\,A\,a\,b^5\,d^4\,e^2-\frac{77\,B\,b^6\,d^6}{2}+27\,A\,b^6\,d^5\,e\right)+x^2\,\left(6\,B\,a^5\,b\,e^6-45\,B\,a^4\,b^2\,d\,e^5+15\,A\,a^4\,b^2\,e^6+120\,B\,a^3\,b^3\,d^2\,e^4-60\,A\,a^3\,b^3\,d\,e^5-150\,B\,a^2\,b^4\,d^3\,e^3+90\,A\,a^2\,b^4\,d^2\,e^4+90\,B\,a\,b^5\,d^4\,e^2-60\,A\,a\,b^5\,d^3\,e^3-21\,B\,b^6\,d^5\,e+15\,A\,b^6\,d^4\,e^2\right)}{d^3\,e^7+3\,d^2\,e^8\,x+3\,d\,e^9\,x^2+e^{10}\,x^3}-x\,\left(\frac{6\,d^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^4}-\frac{4\,B\,b^6\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^4}-\frac{4\,B\,b^6\,d}{e^5}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^4}+\frac{6\,B\,b^6\,d^2}{e^6}\right)}{e}-\frac{5\,a^2\,b^3\,\left(3\,A\,b+4\,B\,a\right)}{e^4}+\frac{4\,B\,b^6\,d^3}{e^7}\right)+\frac{\ln\left(d+e\,x\right)\,\left(15\,B\,a^4\,b^2\,e^4-80\,B\,a^3\,b^3\,d\,e^3+20\,A\,a^3\,b^3\,e^4+150\,B\,a^2\,b^4\,d^2\,e^2-60\,A\,a^2\,b^4\,d\,e^3-120\,B\,a\,b^5\,d^3\,e+60\,A\,a\,b^5\,d^2\,e^2+35\,B\,b^6\,d^4-20\,A\,b^6\,d^3\,e\right)}{e^8}+\frac{B\,b^6\,x^4}{4\,e^4}","Not used",1,"x^3*((A*b^6 + 6*B*a*b^5)/(3*e^4) - (4*B*b^6*d)/(3*e^5)) - x^2*((2*d*((A*b^6 + 6*B*a*b^5)/e^4 - (4*B*b^6*d)/e^5))/e - (3*a*b^4*(2*A*b + 5*B*a))/(2*e^4) + (3*B*b^6*d^2)/e^6) - ((2*A*a^6*e^7 - 107*B*b^6*d^7 + 74*A*b^6*d^6*e + B*a^6*d*e^6 - 282*A*a*b^5*d^5*e^2 + 12*B*a^5*b*d^2*e^5 + 390*A*a^2*b^4*d^4*e^3 - 220*A*a^3*b^3*d^3*e^4 + 30*A*a^4*b^2*d^2*e^5 - 705*B*a^2*b^4*d^5*e^2 + 520*B*a^3*b^3*d^4*e^3 - 165*B*a^4*b^2*d^3*e^4 + 6*A*a^5*b*d*e^6 + 444*B*a*b^5*d^6*e)/(6*e) + x*((B*a^6*e^6)/2 - (77*B*b^6*d^6)/2 + 3*A*a^5*b*e^6 + 27*A*b^6*d^5*e - 105*A*a*b^5*d^4*e^2 + 15*A*a^4*b^2*d*e^5 + 150*A*a^2*b^4*d^3*e^3 - 90*A*a^3*b^3*d^2*e^4 - (525*B*a^2*b^4*d^4*e^2)/2 + 200*B*a^3*b^3*d^3*e^3 - (135*B*a^4*b^2*d^2*e^4)/2 + 162*B*a*b^5*d^5*e + 6*B*a^5*b*d*e^5) + x^2*(6*B*a^5*b*e^6 - 21*B*b^6*d^5*e + 15*A*a^4*b^2*e^6 + 15*A*b^6*d^4*e^2 - 60*A*a*b^5*d^3*e^3 - 60*A*a^3*b^3*d*e^5 + 90*B*a*b^5*d^4*e^2 - 45*B*a^4*b^2*d*e^5 + 90*A*a^2*b^4*d^2*e^4 - 150*B*a^2*b^4*d^3*e^3 + 120*B*a^3*b^3*d^2*e^4))/(d^3*e^7 + e^10*x^3 + 3*d^2*e^8*x + 3*d*e^9*x^2) - x*((6*d^2*((A*b^6 + 6*B*a*b^5)/e^4 - (4*B*b^6*d)/e^5))/e^2 - (4*d*((4*d*((A*b^6 + 6*B*a*b^5)/e^4 - (4*B*b^6*d)/e^5))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^4 + (6*B*b^6*d^2)/e^6))/e - (5*a^2*b^3*(3*A*b + 4*B*a))/e^4 + (4*B*b^6*d^3)/e^7) + (log(d + e*x)*(35*B*b^6*d^4 - 20*A*b^6*d^3*e + 20*A*a^3*b^3*e^4 + 15*B*a^4*b^2*e^4 + 60*A*a*b^5*d^2*e^2 - 60*A*a^2*b^4*d*e^3 - 80*B*a^3*b^3*d*e^3 + 150*B*a^2*b^4*d^2*e^2 - 120*B*a*b^5*d^3*e))/e^8 + (B*b^6*x^4)/(4*e^4)","B"
1064,1,863,279,1.259388,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^5,x)","x^2\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{2\,e^5}-\frac{5\,B\,b^6\,d}{2\,e^6}\right)-\frac{x^3\,\left(15\,B\,a^4\,b^2\,e^6-80\,B\,a^3\,b^3\,d\,e^5+20\,A\,a^3\,b^3\,e^6+150\,B\,a^2\,b^4\,d^2\,e^4-60\,A\,a^2\,b^4\,d\,e^5-120\,B\,a\,b^5\,d^3\,e^3+60\,A\,a\,b^5\,d^2\,e^4+35\,B\,b^6\,d^4\,e^2-20\,A\,b^6\,d^3\,e^3\right)+\frac{B\,a^6\,d\,e^6+3\,A\,a^6\,e^7+6\,B\,a^5\,b\,d^2\,e^5+6\,A\,a^5\,b\,d\,e^6+45\,B\,a^4\,b^2\,d^3\,e^4+15\,A\,a^4\,b^2\,d^2\,e^5-500\,B\,a^3\,b^3\,d^4\,e^3+60\,A\,a^3\,b^3\,d^3\,e^4+1155\,B\,a^2\,b^4\,d^5\,e^2-375\,A\,a^2\,b^4\,d^4\,e^3-1026\,B\,a\,b^5\,d^6\,e+462\,A\,a\,b^5\,d^5\,e^2+319\,B\,b^6\,d^7-171\,A\,b^6\,d^6\,e}{12\,e}+x\,\left(\frac{B\,a^6\,e^6}{3}+2\,B\,a^5\,b\,d\,e^5+2\,A\,a^5\,b\,e^6+15\,B\,a^4\,b^2\,d^2\,e^4+5\,A\,a^4\,b^2\,d\,e^5-\frac{440\,B\,a^3\,b^3\,d^3\,e^3}{3}+20\,A\,a^3\,b^3\,d^2\,e^4+325\,B\,a^2\,b^4\,d^4\,e^2-110\,A\,a^2\,b^4\,d^3\,e^3-282\,B\,a\,b^5\,d^5\,e+130\,A\,a\,b^5\,d^4\,e^2+\frac{259\,B\,b^6\,d^6}{3}-47\,A\,b^6\,d^5\,e\right)+x^2\,\left(3\,B\,a^5\,b\,e^6+\frac{45\,B\,a^4\,b^2\,d\,e^5}{2}+\frac{15\,A\,a^4\,b^2\,e^6}{2}-180\,B\,a^3\,b^3\,d^2\,e^4+30\,A\,a^3\,b^3\,d\,e^5+375\,B\,a^2\,b^4\,d^3\,e^3-135\,A\,a^2\,b^4\,d^2\,e^4-315\,B\,a\,b^5\,d^4\,e^2+150\,A\,a\,b^5\,d^3\,e^3+\frac{189\,B\,b^6\,d^5\,e}{2}-\frac{105\,A\,b^6\,d^4\,e^2}{2}\right)}{d^4\,e^7+4\,d^3\,e^8\,x+6\,d^2\,e^9\,x^2+4\,d\,e^{10}\,x^3+e^{11}\,x^4}-x\,\left(\frac{5\,d\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^5}-\frac{5\,B\,b^6\,d}{e^6}\right)}{e}-\frac{3\,a\,b^4\,\left(2\,A\,b+5\,B\,a\right)}{e^5}+\frac{10\,B\,b^6\,d^2}{e^7}\right)+\frac{\ln\left(d+e\,x\right)\,\left(20\,B\,a^3\,b^3\,e^3-75\,B\,a^2\,b^4\,d\,e^2+15\,A\,a^2\,b^4\,e^3+90\,B\,a\,b^5\,d^2\,e-30\,A\,a\,b^5\,d\,e^2-35\,B\,b^6\,d^3+15\,A\,b^6\,d^2\,e\right)}{e^8}+\frac{B\,b^6\,x^3}{3\,e^5}","Not used",1,"x^2*((A*b^6 + 6*B*a*b^5)/(2*e^5) - (5*B*b^6*d)/(2*e^6)) - (x^3*(20*A*a^3*b^3*e^6 + 15*B*a^4*b^2*e^6 - 20*A*b^6*d^3*e^3 + 35*B*b^6*d^4*e^2 + 60*A*a*b^5*d^2*e^4 - 60*A*a^2*b^4*d*e^5 - 120*B*a*b^5*d^3*e^3 - 80*B*a^3*b^3*d*e^5 + 150*B*a^2*b^4*d^2*e^4) + (3*A*a^6*e^7 + 319*B*b^6*d^7 - 171*A*b^6*d^6*e + B*a^6*d*e^6 + 462*A*a*b^5*d^5*e^2 + 6*B*a^5*b*d^2*e^5 - 375*A*a^2*b^4*d^4*e^3 + 60*A*a^3*b^3*d^3*e^4 + 15*A*a^4*b^2*d^2*e^5 + 1155*B*a^2*b^4*d^5*e^2 - 500*B*a^3*b^3*d^4*e^3 + 45*B*a^4*b^2*d^3*e^4 + 6*A*a^5*b*d*e^6 - 1026*B*a*b^5*d^6*e)/(12*e) + x*((B*a^6*e^6)/3 + (259*B*b^6*d^6)/3 + 2*A*a^5*b*e^6 - 47*A*b^6*d^5*e + 130*A*a*b^5*d^4*e^2 + 5*A*a^4*b^2*d*e^5 - 110*A*a^2*b^4*d^3*e^3 + 20*A*a^3*b^3*d^2*e^4 + 325*B*a^2*b^4*d^4*e^2 - (440*B*a^3*b^3*d^3*e^3)/3 + 15*B*a^4*b^2*d^2*e^4 - 282*B*a*b^5*d^5*e + 2*B*a^5*b*d*e^5) + x^2*(3*B*a^5*b*e^6 + (189*B*b^6*d^5*e)/2 + (15*A*a^4*b^2*e^6)/2 - (105*A*b^6*d^4*e^2)/2 + 150*A*a*b^5*d^3*e^3 + 30*A*a^3*b^3*d*e^5 - 315*B*a*b^5*d^4*e^2 + (45*B*a^4*b^2*d*e^5)/2 - 135*A*a^2*b^4*d^2*e^4 + 375*B*a^2*b^4*d^3*e^3 - 180*B*a^3*b^3*d^2*e^4))/(d^4*e^7 + e^11*x^4 + 4*d^3*e^8*x + 4*d*e^10*x^3 + 6*d^2*e^9*x^2) - x*((5*d*((A*b^6 + 6*B*a*b^5)/e^5 - (5*B*b^6*d)/e^6))/e - (3*a*b^4*(2*A*b + 5*B*a))/e^5 + (10*B*b^6*d^2)/e^7) + (log(d + e*x)*(15*A*b^6*d^2*e - 35*B*b^6*d^3 + 15*A*a^2*b^4*e^3 + 20*B*a^3*b^3*e^3 - 75*B*a^2*b^4*d*e^2 - 30*A*a*b^5*d*e^2 + 90*B*a*b^5*d^2*e))/e^8 + (B*b^6*x^3)/(3*e^5)","B"
1065,1,862,272,0.236902,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^6,x)","x\,\left(\frac{A\,b^6+6\,B\,a\,b^5}{e^6}-\frac{6\,B\,b^6\,d}{e^7}\right)-\frac{x^3\,\left(\frac{15\,B\,a^4\,b^2\,e^6}{2}+40\,B\,a^3\,b^3\,d\,e^5+10\,A\,a^3\,b^3\,e^6-225\,B\,a^2\,b^4\,d^2\,e^4+30\,A\,a^2\,b^4\,d\,e^5+300\,B\,a\,b^5\,d^3\,e^3-90\,A\,a\,b^5\,d^2\,e^4-\frac{245\,B\,b^6\,d^4\,e^2}{2}+50\,A\,b^6\,d^3\,e^3\right)+\frac{B\,a^6\,d\,e^6+4\,A\,a^6\,e^7+4\,B\,a^5\,b\,d^2\,e^5+6\,A\,a^5\,b\,d\,e^6+15\,B\,a^4\,b^2\,d^3\,e^4+10\,A\,a^4\,b^2\,d^2\,e^5+80\,B\,a^3\,b^3\,d^4\,e^3+20\,A\,a^3\,b^3\,d^3\,e^4-685\,B\,a^2\,b^4\,d^5\,e^2+60\,A\,a^2\,b^4\,d^4\,e^3+1044\,B\,a\,b^5\,d^6\,e-274\,A\,a\,b^5\,d^5\,e^2-459\,B\,b^6\,d^7+174\,A\,b^6\,d^6\,e}{20\,e}+x\,\left(\frac{B\,a^6\,e^6}{4}+B\,a^5\,b\,d\,e^5+\frac{3\,A\,a^5\,b\,e^6}{2}+\frac{15\,B\,a^4\,b^2\,d^2\,e^4}{4}+\frac{5\,A\,a^4\,b^2\,d\,e^5}{2}+20\,B\,a^3\,b^3\,d^3\,e^3+5\,A\,a^3\,b^3\,d^2\,e^4-\frac{625\,B\,a^2\,b^4\,d^4\,e^2}{4}+15\,A\,a^2\,b^4\,d^3\,e^3+231\,B\,a\,b^5\,d^5\,e-\frac{125\,A\,a\,b^5\,d^4\,e^2}{2}-\frac{399\,B\,b^6\,d^6}{4}+\frac{77\,A\,b^6\,d^5\,e}{2}\right)+x^2\,\left(2\,B\,a^5\,b\,e^6+\frac{15\,B\,a^4\,b^2\,d\,e^5}{2}+5\,A\,a^4\,b^2\,e^6+40\,B\,a^3\,b^3\,d^2\,e^4+10\,A\,a^3\,b^3\,d\,e^5-275\,B\,a^2\,b^4\,d^3\,e^3+30\,A\,a^2\,b^4\,d^2\,e^4+390\,B\,a\,b^5\,d^4\,e^2-110\,A\,a\,b^5\,d^3\,e^3-\frac{329\,B\,b^6\,d^5\,e}{2}+65\,A\,b^6\,d^4\,e^2\right)+x^4\,\left(20\,B\,a^3\,b^3\,e^6-75\,B\,a^2\,b^4\,d\,e^5+15\,A\,a^2\,b^4\,e^6+90\,B\,a\,b^5\,d^2\,e^4-30\,A\,a\,b^5\,d\,e^5-35\,B\,b^6\,d^3\,e^3+15\,A\,b^6\,d^2\,e^4\right)}{d^5\,e^7+5\,d^4\,e^8\,x+10\,d^3\,e^9\,x^2+10\,d^2\,e^{10}\,x^3+5\,d\,e^{11}\,x^4+e^{12}\,x^5}+\frac{\ln\left(d+e\,x\right)\,\left(15\,B\,a^2\,b^4\,e^2-36\,B\,a\,b^5\,d\,e+6\,A\,a\,b^5\,e^2+21\,B\,b^6\,d^2-6\,A\,b^6\,d\,e\right)}{e^8}+\frac{B\,b^6\,x^2}{2\,e^6}","Not used",1,"x*((A*b^6 + 6*B*a*b^5)/e^6 - (6*B*b^6*d)/e^7) - (x^3*(10*A*a^3*b^3*e^6 + (15*B*a^4*b^2*e^6)/2 + 50*A*b^6*d^3*e^3 - (245*B*b^6*d^4*e^2)/2 - 90*A*a*b^5*d^2*e^4 + 30*A*a^2*b^4*d*e^5 + 300*B*a*b^5*d^3*e^3 + 40*B*a^3*b^3*d*e^5 - 225*B*a^2*b^4*d^2*e^4) + (4*A*a^6*e^7 - 459*B*b^6*d^7 + 174*A*b^6*d^6*e + B*a^6*d*e^6 - 274*A*a*b^5*d^5*e^2 + 4*B*a^5*b*d^2*e^5 + 60*A*a^2*b^4*d^4*e^3 + 20*A*a^3*b^3*d^3*e^4 + 10*A*a^4*b^2*d^2*e^5 - 685*B*a^2*b^4*d^5*e^2 + 80*B*a^3*b^3*d^4*e^3 + 15*B*a^4*b^2*d^3*e^4 + 6*A*a^5*b*d*e^6 + 1044*B*a*b^5*d^6*e)/(20*e) + x*((B*a^6*e^6)/4 - (399*B*b^6*d^6)/4 + (3*A*a^5*b*e^6)/2 + (77*A*b^6*d^5*e)/2 - (125*A*a*b^5*d^4*e^2)/2 + (5*A*a^4*b^2*d*e^5)/2 + 15*A*a^2*b^4*d^3*e^3 + 5*A*a^3*b^3*d^2*e^4 - (625*B*a^2*b^4*d^4*e^2)/4 + 20*B*a^3*b^3*d^3*e^3 + (15*B*a^4*b^2*d^2*e^4)/4 + 231*B*a*b^5*d^5*e + B*a^5*b*d*e^5) + x^2*(2*B*a^5*b*e^6 - (329*B*b^6*d^5*e)/2 + 5*A*a^4*b^2*e^6 + 65*A*b^6*d^4*e^2 - 110*A*a*b^5*d^3*e^3 + 10*A*a^3*b^3*d*e^5 + 390*B*a*b^5*d^4*e^2 + (15*B*a^4*b^2*d*e^5)/2 + 30*A*a^2*b^4*d^2*e^4 - 275*B*a^2*b^4*d^3*e^3 + 40*B*a^3*b^3*d^2*e^4) + x^4*(15*A*a^2*b^4*e^6 + 20*B*a^3*b^3*e^6 + 15*A*b^6*d^2*e^4 - 35*B*b^6*d^3*e^3 + 90*B*a*b^5*d^2*e^4 - 75*B*a^2*b^4*d*e^5 - 30*A*a*b^5*d*e^5))/(d^5*e^7 + e^12*x^5 + 5*d^4*e^8*x + 5*d*e^11*x^4 + 10*d^3*e^9*x^2 + 10*d^2*e^10*x^3) + (log(d + e*x)*(21*B*b^6*d^2 - 6*A*b^6*d*e + 6*A*a*b^5*e^2 + 15*B*a^2*b^4*e^2 - 36*B*a*b^5*d*e))/e^8 + (B*b^6*x^2)/(2*e^6)","B"
1066,1,875,278,1.346513,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^7,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,b^6\,e-7\,B\,b^6\,d+6\,B\,a\,b^5\,e\right)}{e^8}-\frac{x^3\,\left(5\,B\,a^4\,b^2\,e^6+\frac{40\,B\,a^3\,b^3\,d\,e^5}{3}+\frac{20\,A\,a^3\,b^3\,e^6}{3}+50\,B\,a^2\,b^4\,d^2\,e^4+10\,A\,a^2\,b^4\,d\,e^5-220\,B\,a\,b^5\,d^3\,e^3+20\,A\,a\,b^5\,d^2\,e^4+\frac{455\,B\,b^6\,d^4\,e^2}{3}-\frac{110\,A\,b^6\,d^3\,e^3}{3}\right)+\frac{2\,B\,a^6\,d\,e^6+10\,A\,a^6\,e^7+6\,B\,a^5\,b\,d^2\,e^5+12\,A\,a^5\,b\,d\,e^6+15\,B\,a^4\,b^2\,d^3\,e^4+15\,A\,a^4\,b^2\,d^2\,e^5+40\,B\,a^3\,b^3\,d^4\,e^3+20\,A\,a^3\,b^3\,d^3\,e^4+150\,B\,a^2\,b^4\,d^5\,e^2+30\,A\,a^2\,b^4\,d^4\,e^3-882\,B\,a\,b^5\,d^6\,e+60\,A\,a\,b^5\,d^5\,e^2+669\,B\,b^6\,d^7-147\,A\,b^6\,d^6\,e}{60\,e}+x\,\left(\frac{B\,a^6\,e^6}{5}+\frac{3\,B\,a^5\,b\,d\,e^5}{5}+\frac{6\,A\,a^5\,b\,e^6}{5}+\frac{3\,B\,a^4\,b^2\,d^2\,e^4}{2}+\frac{3\,A\,a^4\,b^2\,d\,e^5}{2}+4\,B\,a^3\,b^3\,d^3\,e^3+2\,A\,a^3\,b^3\,d^2\,e^4+15\,B\,a^2\,b^4\,d^4\,e^2+3\,A\,a^2\,b^4\,d^3\,e^3-\frac{411\,B\,a\,b^5\,d^5\,e}{5}+6\,A\,a\,b^5\,d^4\,e^2+\frac{609\,B\,b^6\,d^6}{10}-\frac{137\,A\,b^6\,d^5\,e}{10}\right)+x^5\,\left(15\,B\,a^2\,b^4\,e^6-36\,B\,a\,b^5\,d\,e^5+6\,A\,a\,b^5\,e^6+21\,B\,b^6\,d^2\,e^4-6\,A\,b^6\,d\,e^5\right)+x^2\,\left(\frac{3\,B\,a^5\,b\,e^6}{2}+\frac{15\,B\,a^4\,b^2\,d\,e^5}{4}+\frac{15\,A\,a^4\,b^2\,e^6}{4}+10\,B\,a^3\,b^3\,d^2\,e^4+5\,A\,a^3\,b^3\,d\,e^5+\frac{75\,B\,a^2\,b^4\,d^3\,e^3}{2}+\frac{15\,A\,a^2\,b^4\,d^2\,e^4}{2}-\frac{375\,B\,a\,b^5\,d^4\,e^2}{2}+15\,A\,a\,b^5\,d^3\,e^3+\frac{539\,B\,b^6\,d^5\,e}{4}-\frac{125\,A\,b^6\,d^4\,e^2}{4}\right)+x^4\,\left(10\,B\,a^3\,b^3\,e^6+\frac{75\,B\,a^2\,b^4\,d\,e^5}{2}+\frac{15\,A\,a^2\,b^4\,e^6}{2}-135\,B\,a\,b^5\,d^2\,e^4+15\,A\,a\,b^5\,d\,e^5+\frac{175\,B\,b^6\,d^3\,e^3}{2}-\frac{45\,A\,b^6\,d^2\,e^4}{2}\right)}{d^6\,e^7+6\,d^5\,e^8\,x+15\,d^4\,e^9\,x^2+20\,d^3\,e^{10}\,x^3+15\,d^2\,e^{11}\,x^4+6\,d\,e^{12}\,x^5+e^{13}\,x^6}+\frac{B\,b^6\,x}{e^7}","Not used",1,"(log(d + e*x)*(A*b^6*e - 7*B*b^6*d + 6*B*a*b^5*e))/e^8 - (x^3*((20*A*a^3*b^3*e^6)/3 + 5*B*a^4*b^2*e^6 - (110*A*b^6*d^3*e^3)/3 + (455*B*b^6*d^4*e^2)/3 + 20*A*a*b^5*d^2*e^4 + 10*A*a^2*b^4*d*e^5 - 220*B*a*b^5*d^3*e^3 + (40*B*a^3*b^3*d*e^5)/3 + 50*B*a^2*b^4*d^2*e^4) + (10*A*a^6*e^7 + 669*B*b^6*d^7 - 147*A*b^6*d^6*e + 2*B*a^6*d*e^6 + 60*A*a*b^5*d^5*e^2 + 6*B*a^5*b*d^2*e^5 + 30*A*a^2*b^4*d^4*e^3 + 20*A*a^3*b^3*d^3*e^4 + 15*A*a^4*b^2*d^2*e^5 + 150*B*a^2*b^4*d^5*e^2 + 40*B*a^3*b^3*d^4*e^3 + 15*B*a^4*b^2*d^3*e^4 + 12*A*a^5*b*d*e^6 - 882*B*a*b^5*d^6*e)/(60*e) + x*((B*a^6*e^6)/5 + (609*B*b^6*d^6)/10 + (6*A*a^5*b*e^6)/5 - (137*A*b^6*d^5*e)/10 + 6*A*a*b^5*d^4*e^2 + (3*A*a^4*b^2*d*e^5)/2 + 3*A*a^2*b^4*d^3*e^3 + 2*A*a^3*b^3*d^2*e^4 + 15*B*a^2*b^4*d^4*e^2 + 4*B*a^3*b^3*d^3*e^3 + (3*B*a^4*b^2*d^2*e^4)/2 - (411*B*a*b^5*d^5*e)/5 + (3*B*a^5*b*d*e^5)/5) + x^5*(6*A*a*b^5*e^6 - 6*A*b^6*d*e^5 + 15*B*a^2*b^4*e^6 + 21*B*b^6*d^2*e^4 - 36*B*a*b^5*d*e^5) + x^2*((3*B*a^5*b*e^6)/2 + (539*B*b^6*d^5*e)/4 + (15*A*a^4*b^2*e^6)/4 - (125*A*b^6*d^4*e^2)/4 + 15*A*a*b^5*d^3*e^3 + 5*A*a^3*b^3*d*e^5 - (375*B*a*b^5*d^4*e^2)/2 + (15*B*a^4*b^2*d*e^5)/4 + (15*A*a^2*b^4*d^2*e^4)/2 + (75*B*a^2*b^4*d^3*e^3)/2 + 10*B*a^3*b^3*d^2*e^4) + x^4*((15*A*a^2*b^4*e^6)/2 + 10*B*a^3*b^3*e^6 - (45*A*b^6*d^2*e^4)/2 + (175*B*b^6*d^3*e^3)/2 - 135*B*a*b^5*d^2*e^4 + (75*B*a^2*b^4*d*e^5)/2 + 15*A*a*b^5*d*e^5))/(d^6*e^7 + e^13*x^6 + 6*d^5*e^8*x + 6*d*e^12*x^5 + 15*d^4*e^9*x^2 + 20*d^3*e^10*x^3 + 15*d^2*e^11*x^4) + (B*b^6*x)/e^7","B"
1067,1,1046,213,1.323035,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^8,x)","-\frac{\frac{A\,a^6\,e^7}{7}-\frac{363\,B\,b^6\,d^7}{140}+\frac{A\,b^6\,d^6\,e}{7}+\frac{B\,a^6\,d\,e^6}{42}-B\,b^6\,d^7\,\ln\left(d+e\,x\right)+\frac{B\,a^6\,e^7\,x}{6}+A\,b^6\,e^7\,x^6-\frac{343\,B\,b^6\,d^6\,e\,x}{20}+\frac{A\,a\,b^5\,d^5\,e^2}{7}+\frac{2\,B\,a^5\,b\,d^2\,e^5}{35}+3\,A\,a\,b^5\,e^7\,x^5+\frac{6\,B\,a^5\,b\,e^7\,x^2}{5}+6\,B\,a\,b^5\,e^7\,x^6+A\,b^6\,d^5\,e^2\,x+3\,A\,b^6\,d\,e^6\,x^5-7\,B\,b^6\,d\,e^6\,x^6-B\,b^6\,e^7\,x^7\,\ln\left(d+e\,x\right)+\frac{A\,a^2\,b^4\,d^4\,e^3}{7}+\frac{A\,a^3\,b^3\,d^3\,e^4}{7}+\frac{A\,a^4\,b^2\,d^2\,e^5}{7}+\frac{5\,B\,a^2\,b^4\,d^5\,e^2}{14}+\frac{4\,B\,a^3\,b^3\,d^4\,e^3}{21}+\frac{3\,B\,a^4\,b^2\,d^3\,e^4}{28}+3\,A\,a^4\,b^2\,e^7\,x^2+5\,A\,a^3\,b^3\,e^7\,x^3+5\,A\,a^2\,b^4\,e^7\,x^4+\frac{15\,B\,a^4\,b^2\,e^7\,x^3}{4}+\frac{20\,B\,a^3\,b^3\,e^7\,x^4}{3}+\frac{15\,B\,a^2\,b^4\,e^7\,x^5}{2}+3\,A\,b^6\,d^4\,e^3\,x^2+5\,A\,b^6\,d^3\,e^4\,x^3+5\,A\,b^6\,d^2\,e^5\,x^4-\frac{959\,B\,b^6\,d^5\,e^2\,x^2}{20}-\frac{875\,B\,b^6\,d^4\,e^3\,x^3}{12}-\frac{385\,B\,b^6\,d^3\,e^4\,x^4}{6}-\frac{63\,B\,b^6\,d^2\,e^5\,x^5}{2}+\frac{A\,a^5\,b\,d\,e^6}{7}+\frac{6\,B\,a\,b^5\,d^6\,e}{7}+A\,a^5\,b\,e^7\,x+A\,a^2\,b^4\,d^3\,e^4\,x+A\,a^3\,b^3\,d^2\,e^5\,x+3\,A\,a\,b^5\,d^3\,e^4\,x^2+3\,A\,a^3\,b^3\,d\,e^6\,x^2+5\,A\,a\,b^5\,d^2\,e^5\,x^3+5\,A\,a^2\,b^4\,d\,e^6\,x^3+\frac{5\,B\,a^2\,b^4\,d^4\,e^3\,x}{2}+\frac{4\,B\,a^3\,b^3\,d^3\,e^4\,x}{3}+\frac{3\,B\,a^4\,b^2\,d^2\,e^5\,x}{4}+18\,B\,a\,b^5\,d^4\,e^3\,x^2+\frac{9\,B\,a^4\,b^2\,d\,e^6\,x^2}{4}+30\,B\,a\,b^5\,d^3\,e^4\,x^3+\frac{20\,B\,a^3\,b^3\,d\,e^6\,x^3}{3}+30\,B\,a\,b^5\,d^2\,e^5\,x^4+\frac{25\,B\,a^2\,b^4\,d\,e^6\,x^4}{2}-21\,B\,b^6\,d^5\,e^2\,x^2\,\ln\left(d+e\,x\right)-35\,B\,b^6\,d^4\,e^3\,x^3\,\ln\left(d+e\,x\right)-35\,B\,b^6\,d^3\,e^4\,x^4\,\ln\left(d+e\,x\right)-21\,B\,b^6\,d^2\,e^5\,x^5\,\ln\left(d+e\,x\right)+\frac{2\,B\,a^5\,b\,d\,e^6\,x}{5}-7\,B\,b^6\,d^6\,e\,x\,\ln\left(d+e\,x\right)+3\,A\,a^2\,b^4\,d^2\,e^5\,x^2+\frac{15\,B\,a^2\,b^4\,d^3\,e^4\,x^2}{2}+4\,B\,a^3\,b^3\,d^2\,e^5\,x^2+\frac{25\,B\,a^2\,b^4\,d^2\,e^5\,x^3}{2}+A\,a\,b^5\,d^4\,e^3\,x+A\,a^4\,b^2\,d\,e^6\,x+5\,A\,a\,b^5\,d\,e^6\,x^4+6\,B\,a\,b^5\,d^5\,e^2\,x+18\,B\,a\,b^5\,d\,e^6\,x^5-7\,B\,b^6\,d\,e^6\,x^6\,\ln\left(d+e\,x\right)}{e^8\,{\left(d+e\,x\right)}^7}","Not used",1,"-((A*a^6*e^7)/7 - (363*B*b^6*d^7)/140 + (A*b^6*d^6*e)/7 + (B*a^6*d*e^6)/42 - B*b^6*d^7*log(d + e*x) + (B*a^6*e^7*x)/6 + A*b^6*e^7*x^6 - (343*B*b^6*d^6*e*x)/20 + (A*a*b^5*d^5*e^2)/7 + (2*B*a^5*b*d^2*e^5)/35 + 3*A*a*b^5*e^7*x^5 + (6*B*a^5*b*e^7*x^2)/5 + 6*B*a*b^5*e^7*x^6 + A*b^6*d^5*e^2*x + 3*A*b^6*d*e^6*x^5 - 7*B*b^6*d*e^6*x^6 - B*b^6*e^7*x^7*log(d + e*x) + (A*a^2*b^4*d^4*e^3)/7 + (A*a^3*b^3*d^3*e^4)/7 + (A*a^4*b^2*d^2*e^5)/7 + (5*B*a^2*b^4*d^5*e^2)/14 + (4*B*a^3*b^3*d^4*e^3)/21 + (3*B*a^4*b^2*d^3*e^4)/28 + 3*A*a^4*b^2*e^7*x^2 + 5*A*a^3*b^3*e^7*x^3 + 5*A*a^2*b^4*e^7*x^4 + (15*B*a^4*b^2*e^7*x^3)/4 + (20*B*a^3*b^3*e^7*x^4)/3 + (15*B*a^2*b^4*e^7*x^5)/2 + 3*A*b^6*d^4*e^3*x^2 + 5*A*b^6*d^3*e^4*x^3 + 5*A*b^6*d^2*e^5*x^4 - (959*B*b^6*d^5*e^2*x^2)/20 - (875*B*b^6*d^4*e^3*x^3)/12 - (385*B*b^6*d^3*e^4*x^4)/6 - (63*B*b^6*d^2*e^5*x^5)/2 + (A*a^5*b*d*e^6)/7 + (6*B*a*b^5*d^6*e)/7 + A*a^5*b*e^7*x + A*a^2*b^4*d^3*e^4*x + A*a^3*b^3*d^2*e^5*x + 3*A*a*b^5*d^3*e^4*x^2 + 3*A*a^3*b^3*d*e^6*x^2 + 5*A*a*b^5*d^2*e^5*x^3 + 5*A*a^2*b^4*d*e^6*x^3 + (5*B*a^2*b^4*d^4*e^3*x)/2 + (4*B*a^3*b^3*d^3*e^4*x)/3 + (3*B*a^4*b^2*d^2*e^5*x)/4 + 18*B*a*b^5*d^4*e^3*x^2 + (9*B*a^4*b^2*d*e^6*x^2)/4 + 30*B*a*b^5*d^3*e^4*x^3 + (20*B*a^3*b^3*d*e^6*x^3)/3 + 30*B*a*b^5*d^2*e^5*x^4 + (25*B*a^2*b^4*d*e^6*x^4)/2 - 21*B*b^6*d^5*e^2*x^2*log(d + e*x) - 35*B*b^6*d^4*e^3*x^3*log(d + e*x) - 35*B*b^6*d^3*e^4*x^4*log(d + e*x) - 21*B*b^6*d^2*e^5*x^5*log(d + e*x) + (2*B*a^5*b*d*e^6*x)/5 - 7*B*b^6*d^6*e*x*log(d + e*x) + 3*A*a^2*b^4*d^2*e^5*x^2 + (15*B*a^2*b^4*d^3*e^4*x^2)/2 + 4*B*a^3*b^3*d^2*e^5*x^2 + (25*B*a^2*b^4*d^2*e^5*x^3)/2 + A*a*b^5*d^4*e^3*x + A*a^4*b^2*d*e^6*x + 5*A*a*b^5*d*e^6*x^4 + 6*B*a*b^5*d^5*e^2*x + 18*B*a*b^5*d*e^6*x^5 - 7*B*b^6*d*e^6*x^6*log(d + e*x))/(e^8*(d + e*x)^7)","B"
1068,1,854,86,0.233820,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^9,x)","-\frac{\frac{B\,a^6\,d\,e^6+7\,A\,a^6\,e^7+2\,B\,a^5\,b\,d^2\,e^5+6\,A\,a^5\,b\,d\,e^6+3\,B\,a^4\,b^2\,d^3\,e^4+5\,A\,a^4\,b^2\,d^2\,e^5+4\,B\,a^3\,b^3\,d^4\,e^3+4\,A\,a^3\,b^3\,d^3\,e^4+5\,B\,a^2\,b^4\,d^5\,e^2+3\,A\,a^2\,b^4\,d^4\,e^3+6\,B\,a\,b^5\,d^6\,e+2\,A\,a\,b^5\,d^5\,e^2+7\,B\,b^6\,d^7+A\,b^6\,d^6\,e}{56\,e^8}+\frac{x\,\left(B\,a^6\,e^6+2\,B\,a^5\,b\,d\,e^5+6\,A\,a^5\,b\,e^6+3\,B\,a^4\,b^2\,d^2\,e^4+5\,A\,a^4\,b^2\,d\,e^5+4\,B\,a^3\,b^3\,d^3\,e^3+4\,A\,a^3\,b^3\,d^2\,e^4+5\,B\,a^2\,b^4\,d^4\,e^2+3\,A\,a^2\,b^4\,d^3\,e^3+6\,B\,a\,b^5\,d^5\,e+2\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6+A\,b^6\,d^5\,e\right)}{7\,e^7}+\frac{5\,b^3\,x^4\,\left(4\,B\,a^3\,e^3+5\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+6\,B\,a\,b^2\,d^2\,e+2\,A\,a\,b^2\,d\,e^2+7\,B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{4\,e^4}+\frac{b^5\,x^6\,\left(A\,b\,e+6\,B\,a\,e+7\,B\,b\,d\right)}{2\,e^2}+\frac{b\,x^2\,\left(2\,B\,a^5\,e^5+3\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+4\,B\,a^3\,b^2\,d^2\,e^3+4\,A\,a^3\,b^2\,d\,e^4+5\,B\,a^2\,b^3\,d^3\,e^2+3\,A\,a^2\,b^3\,d^2\,e^3+6\,B\,a\,b^4\,d^4\,e+2\,A\,a\,b^4\,d^3\,e^2+7\,B\,b^5\,d^5+A\,b^5\,d^4\,e\right)}{2\,e^6}+\frac{b^2\,x^3\,\left(3\,B\,a^4\,e^4+4\,B\,a^3\,b\,d\,e^3+4\,A\,a^3\,b\,e^4+5\,B\,a^2\,b^2\,d^2\,e^2+3\,A\,a^2\,b^2\,d\,e^3+6\,B\,a\,b^3\,d^3\,e+2\,A\,a\,b^3\,d^2\,e^2+7\,B\,b^4\,d^4+A\,b^4\,d^3\,e\right)}{e^5}+\frac{b^4\,x^5\,\left(5\,B\,a^2\,e^2+6\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+7\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{e^3}+\frac{B\,b^6\,x^7}{e}}{d^8+8\,d^7\,e\,x+28\,d^6\,e^2\,x^2+56\,d^5\,e^3\,x^3+70\,d^4\,e^4\,x^4+56\,d^3\,e^5\,x^5+28\,d^2\,e^6\,x^6+8\,d\,e^7\,x^7+e^8\,x^8}","Not used",1,"-((7*A*a^6*e^7 + 7*B*b^6*d^7 + A*b^6*d^6*e + B*a^6*d*e^6 + 2*A*a*b^5*d^5*e^2 + 2*B*a^5*b*d^2*e^5 + 3*A*a^2*b^4*d^4*e^3 + 4*A*a^3*b^3*d^3*e^4 + 5*A*a^4*b^2*d^2*e^5 + 5*B*a^2*b^4*d^5*e^2 + 4*B*a^3*b^3*d^4*e^3 + 3*B*a^4*b^2*d^3*e^4 + 6*A*a^5*b*d*e^6 + 6*B*a*b^5*d^6*e)/(56*e^8) + (x*(B*a^6*e^6 + 7*B*b^6*d^6 + 6*A*a^5*b*e^6 + A*b^6*d^5*e + 2*A*a*b^5*d^4*e^2 + 5*A*a^4*b^2*d*e^5 + 3*A*a^2*b^4*d^3*e^3 + 4*A*a^3*b^3*d^2*e^4 + 5*B*a^2*b^4*d^4*e^2 + 4*B*a^3*b^3*d^3*e^3 + 3*B*a^4*b^2*d^2*e^4 + 6*B*a*b^5*d^5*e + 2*B*a^5*b*d*e^5))/(7*e^7) + (5*b^3*x^4*(4*B*a^3*e^3 + 7*B*b^3*d^3 + 3*A*a^2*b*e^3 + A*b^3*d^2*e + 2*A*a*b^2*d*e^2 + 6*B*a*b^2*d^2*e + 5*B*a^2*b*d*e^2))/(4*e^4) + (b^5*x^6*(A*b*e + 6*B*a*e + 7*B*b*d))/(2*e^2) + (b*x^2*(2*B*a^5*e^5 + 7*B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e + 2*A*a*b^4*d^3*e^2 + 4*A*a^3*b^2*d*e^4 + 3*A*a^2*b^3*d^2*e^3 + 5*B*a^2*b^3*d^3*e^2 + 4*B*a^3*b^2*d^2*e^3 + 6*B*a*b^4*d^4*e + 3*B*a^4*b*d*e^4))/(2*e^6) + (b^2*x^3*(3*B*a^4*e^4 + 7*B*b^4*d^4 + 4*A*a^3*b*e^4 + A*b^4*d^3*e + 2*A*a*b^3*d^2*e^2 + 3*A*a^2*b^2*d*e^3 + 5*B*a^2*b^2*d^2*e^2 + 6*B*a*b^3*d^3*e + 4*B*a^3*b*d*e^3))/e^5 + (b^4*x^5*(5*B*a^2*e^2 + 7*B*b^2*d^2 + 2*A*a*b*e^2 + A*b^2*d*e + 6*B*a*b*d*e))/e^3 + (B*b^6*x^7)/e)/(d^8 + e^8*x^8 + 8*d*e^7*x^7 + 28*d^6*e^2*x^2 + 56*d^5*e^3*x^3 + 70*d^4*e^4*x^4 + 56*d^3*e^5*x^5 + 28*d^2*e^6*x^6 + 8*d^7*e*x)","B"
1069,1,877,135,0.241938,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^10,x)","-\frac{\frac{7\,B\,a^6\,d\,e^6+56\,A\,a^6\,e^7+12\,B\,a^5\,b\,d^2\,e^5+42\,A\,a^5\,b\,d\,e^6+15\,B\,a^4\,b^2\,d^3\,e^4+30\,A\,a^4\,b^2\,d^2\,e^5+16\,B\,a^3\,b^3\,d^4\,e^3+20\,A\,a^3\,b^3\,d^3\,e^4+15\,B\,a^2\,b^4\,d^5\,e^2+12\,A\,a^2\,b^4\,d^4\,e^3+12\,B\,a\,b^5\,d^6\,e+6\,A\,a\,b^5\,d^5\,e^2+7\,B\,b^6\,d^7+2\,A\,b^6\,d^6\,e}{504\,e^8}+\frac{x\,\left(7\,B\,a^6\,e^6+12\,B\,a^5\,b\,d\,e^5+42\,A\,a^5\,b\,e^6+15\,B\,a^4\,b^2\,d^2\,e^4+30\,A\,a^4\,b^2\,d\,e^5+16\,B\,a^3\,b^3\,d^3\,e^3+20\,A\,a^3\,b^3\,d^2\,e^4+15\,B\,a^2\,b^4\,d^4\,e^2+12\,A\,a^2\,b^4\,d^3\,e^3+12\,B\,a\,b^5\,d^5\,e+6\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6+2\,A\,b^6\,d^5\,e\right)}{56\,e^7}+\frac{b^3\,x^4\,\left(16\,B\,a^3\,e^3+15\,B\,a^2\,b\,d\,e^2+12\,A\,a^2\,b\,e^3+12\,B\,a\,b^2\,d^2\,e+6\,A\,a\,b^2\,d\,e^2+7\,B\,b^3\,d^3+2\,A\,b^3\,d^2\,e\right)}{4\,e^4}+\frac{b^5\,x^6\,\left(2\,A\,b\,e+12\,B\,a\,e+7\,B\,b\,d\right)}{6\,e^2}+\frac{b\,x^2\,\left(12\,B\,a^5\,e^5+15\,B\,a^4\,b\,d\,e^4+30\,A\,a^4\,b\,e^5+16\,B\,a^3\,b^2\,d^2\,e^3+20\,A\,a^3\,b^2\,d\,e^4+15\,B\,a^2\,b^3\,d^3\,e^2+12\,A\,a^2\,b^3\,d^2\,e^3+12\,B\,a\,b^4\,d^4\,e+6\,A\,a\,b^4\,d^3\,e^2+7\,B\,b^5\,d^5+2\,A\,b^5\,d^4\,e\right)}{14\,e^6}+\frac{b^2\,x^3\,\left(15\,B\,a^4\,e^4+16\,B\,a^3\,b\,d\,e^3+20\,A\,a^3\,b\,e^4+15\,B\,a^2\,b^2\,d^2\,e^2+12\,A\,a^2\,b^2\,d\,e^3+12\,B\,a\,b^3\,d^3\,e+6\,A\,a\,b^3\,d^2\,e^2+7\,B\,b^4\,d^4+2\,A\,b^4\,d^3\,e\right)}{6\,e^5}+\frac{b^4\,x^5\,\left(15\,B\,a^2\,e^2+12\,B\,a\,b\,d\,e+6\,A\,a\,b\,e^2+7\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{4\,e^3}+\frac{B\,b^6\,x^7}{2\,e}}{d^9+9\,d^8\,e\,x+36\,d^7\,e^2\,x^2+84\,d^6\,e^3\,x^3+126\,d^5\,e^4\,x^4+126\,d^4\,e^5\,x^5+84\,d^3\,e^6\,x^6+36\,d^2\,e^7\,x^7+9\,d\,e^8\,x^8+e^9\,x^9}","Not used",1,"-((56*A*a^6*e^7 + 7*B*b^6*d^7 + 2*A*b^6*d^6*e + 7*B*a^6*d*e^6 + 6*A*a*b^5*d^5*e^2 + 12*B*a^5*b*d^2*e^5 + 12*A*a^2*b^4*d^4*e^3 + 20*A*a^3*b^3*d^3*e^4 + 30*A*a^4*b^2*d^2*e^5 + 15*B*a^2*b^4*d^5*e^2 + 16*B*a^3*b^3*d^4*e^3 + 15*B*a^4*b^2*d^3*e^4 + 42*A*a^5*b*d*e^6 + 12*B*a*b^5*d^6*e)/(504*e^8) + (x*(7*B*a^6*e^6 + 7*B*b^6*d^6 + 42*A*a^5*b*e^6 + 2*A*b^6*d^5*e + 6*A*a*b^5*d^4*e^2 + 30*A*a^4*b^2*d*e^5 + 12*A*a^2*b^4*d^3*e^3 + 20*A*a^3*b^3*d^2*e^4 + 15*B*a^2*b^4*d^4*e^2 + 16*B*a^3*b^3*d^3*e^3 + 15*B*a^4*b^2*d^2*e^4 + 12*B*a*b^5*d^5*e + 12*B*a^5*b*d*e^5))/(56*e^7) + (b^3*x^4*(16*B*a^3*e^3 + 7*B*b^3*d^3 + 12*A*a^2*b*e^3 + 2*A*b^3*d^2*e + 6*A*a*b^2*d*e^2 + 12*B*a*b^2*d^2*e + 15*B*a^2*b*d*e^2))/(4*e^4) + (b^5*x^6*(2*A*b*e + 12*B*a*e + 7*B*b*d))/(6*e^2) + (b*x^2*(12*B*a^5*e^5 + 7*B*b^5*d^5 + 30*A*a^4*b*e^5 + 2*A*b^5*d^4*e + 6*A*a*b^4*d^3*e^2 + 20*A*a^3*b^2*d*e^4 + 12*A*a^2*b^3*d^2*e^3 + 15*B*a^2*b^3*d^3*e^2 + 16*B*a^3*b^2*d^2*e^3 + 12*B*a*b^4*d^4*e + 15*B*a^4*b*d*e^4))/(14*e^6) + (b^2*x^3*(15*B*a^4*e^4 + 7*B*b^4*d^4 + 20*A*a^3*b*e^4 + 2*A*b^4*d^3*e + 6*A*a*b^3*d^2*e^2 + 12*A*a^2*b^2*d*e^3 + 15*B*a^2*b^2*d^2*e^2 + 12*B*a*b^3*d^3*e + 16*B*a^3*b*d*e^3))/(6*e^5) + (b^4*x^5*(15*B*a^2*e^2 + 7*B*b^2*d^2 + 6*A*a*b*e^2 + 2*A*b^2*d*e + 12*B*a*b*d*e))/(4*e^3) + (B*b^6*x^7)/(2*e))/(d^9 + e^9*x^9 + 9*d*e^8*x^8 + 36*d^7*e^2*x^2 + 84*d^6*e^3*x^3 + 126*d^5*e^4*x^4 + 126*d^4*e^5*x^5 + 84*d^3*e^6*x^6 + 36*d^2*e^7*x^7 + 9*d^8*e*x)","B"
1070,1,888,185,1.391363,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^11,x)","-\frac{\frac{28\,B\,a^6\,d\,e^6+252\,A\,a^6\,e^7+42\,B\,a^5\,b\,d^2\,e^5+168\,A\,a^5\,b\,d\,e^6+45\,B\,a^4\,b^2\,d^3\,e^4+105\,A\,a^4\,b^2\,d^2\,e^5+40\,B\,a^3\,b^3\,d^4\,e^3+60\,A\,a^3\,b^3\,d^3\,e^4+30\,B\,a^2\,b^4\,d^5\,e^2+30\,A\,a^2\,b^4\,d^4\,e^3+18\,B\,a\,b^5\,d^6\,e+12\,A\,a\,b^5\,d^5\,e^2+7\,B\,b^6\,d^7+3\,A\,b^6\,d^6\,e}{2520\,e^8}+\frac{x\,\left(28\,B\,a^6\,e^6+42\,B\,a^5\,b\,d\,e^5+168\,A\,a^5\,b\,e^6+45\,B\,a^4\,b^2\,d^2\,e^4+105\,A\,a^4\,b^2\,d\,e^5+40\,B\,a^3\,b^3\,d^3\,e^3+60\,A\,a^3\,b^3\,d^2\,e^4+30\,B\,a^2\,b^4\,d^4\,e^2+30\,A\,a^2\,b^4\,d^3\,e^3+18\,B\,a\,b^5\,d^5\,e+12\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6+3\,A\,b^6\,d^5\,e\right)}{252\,e^7}+\frac{b^3\,x^4\,\left(40\,B\,a^3\,e^3+30\,B\,a^2\,b\,d\,e^2+30\,A\,a^2\,b\,e^3+18\,B\,a\,b^2\,d^2\,e+12\,A\,a\,b^2\,d\,e^2+7\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{12\,e^4}+\frac{b^5\,x^6\,\left(3\,A\,b\,e+18\,B\,a\,e+7\,B\,b\,d\right)}{12\,e^2}+\frac{b\,x^2\,\left(42\,B\,a^5\,e^5+45\,B\,a^4\,b\,d\,e^4+105\,A\,a^4\,b\,e^5+40\,B\,a^3\,b^2\,d^2\,e^3+60\,A\,a^3\,b^2\,d\,e^4+30\,B\,a^2\,b^3\,d^3\,e^2+30\,A\,a^2\,b^3\,d^2\,e^3+18\,B\,a\,b^4\,d^4\,e+12\,A\,a\,b^4\,d^3\,e^2+7\,B\,b^5\,d^5+3\,A\,b^5\,d^4\,e\right)}{56\,e^6}+\frac{b^2\,x^3\,\left(45\,B\,a^4\,e^4+40\,B\,a^3\,b\,d\,e^3+60\,A\,a^3\,b\,e^4+30\,B\,a^2\,b^2\,d^2\,e^2+30\,A\,a^2\,b^2\,d\,e^3+18\,B\,a\,b^3\,d^3\,e+12\,A\,a\,b^3\,d^2\,e^2+7\,B\,b^4\,d^4+3\,A\,b^4\,d^3\,e\right)}{21\,e^5}+\frac{b^4\,x^5\,\left(30\,B\,a^2\,e^2+18\,B\,a\,b\,d\,e+12\,A\,a\,b\,e^2+7\,B\,b^2\,d^2+3\,A\,b^2\,d\,e\right)}{10\,e^3}+\frac{B\,b^6\,x^7}{3\,e}}{d^{10}+10\,d^9\,e\,x+45\,d^8\,e^2\,x^2+120\,d^7\,e^3\,x^3+210\,d^6\,e^4\,x^4+252\,d^5\,e^5\,x^5+210\,d^4\,e^6\,x^6+120\,d^3\,e^7\,x^7+45\,d^2\,e^8\,x^8+10\,d\,e^9\,x^9+e^{10}\,x^{10}}","Not used",1,"-((252*A*a^6*e^7 + 7*B*b^6*d^7 + 3*A*b^6*d^6*e + 28*B*a^6*d*e^6 + 12*A*a*b^5*d^5*e^2 + 42*B*a^5*b*d^2*e^5 + 30*A*a^2*b^4*d^4*e^3 + 60*A*a^3*b^3*d^3*e^4 + 105*A*a^4*b^2*d^2*e^5 + 30*B*a^2*b^4*d^5*e^2 + 40*B*a^3*b^3*d^4*e^3 + 45*B*a^4*b^2*d^3*e^4 + 168*A*a^5*b*d*e^6 + 18*B*a*b^5*d^6*e)/(2520*e^8) + (x*(28*B*a^6*e^6 + 7*B*b^6*d^6 + 168*A*a^5*b*e^6 + 3*A*b^6*d^5*e + 12*A*a*b^5*d^4*e^2 + 105*A*a^4*b^2*d*e^5 + 30*A*a^2*b^4*d^3*e^3 + 60*A*a^3*b^3*d^2*e^4 + 30*B*a^2*b^4*d^4*e^2 + 40*B*a^3*b^3*d^3*e^3 + 45*B*a^4*b^2*d^2*e^4 + 18*B*a*b^5*d^5*e + 42*B*a^5*b*d*e^5))/(252*e^7) + (b^3*x^4*(40*B*a^3*e^3 + 7*B*b^3*d^3 + 30*A*a^2*b*e^3 + 3*A*b^3*d^2*e + 12*A*a*b^2*d*e^2 + 18*B*a*b^2*d^2*e + 30*B*a^2*b*d*e^2))/(12*e^4) + (b^5*x^6*(3*A*b*e + 18*B*a*e + 7*B*b*d))/(12*e^2) + (b*x^2*(42*B*a^5*e^5 + 7*B*b^5*d^5 + 105*A*a^4*b*e^5 + 3*A*b^5*d^4*e + 12*A*a*b^4*d^3*e^2 + 60*A*a^3*b^2*d*e^4 + 30*A*a^2*b^3*d^2*e^3 + 30*B*a^2*b^3*d^3*e^2 + 40*B*a^3*b^2*d^2*e^3 + 18*B*a*b^4*d^4*e + 45*B*a^4*b*d*e^4))/(56*e^6) + (b^2*x^3*(45*B*a^4*e^4 + 7*B*b^4*d^4 + 60*A*a^3*b*e^4 + 3*A*b^4*d^3*e + 12*A*a*b^3*d^2*e^2 + 30*A*a^2*b^2*d*e^3 + 30*B*a^2*b^2*d^2*e^2 + 18*B*a*b^3*d^3*e + 40*B*a^3*b*d*e^3))/(21*e^5) + (b^4*x^5*(30*B*a^2*e^2 + 7*B*b^2*d^2 + 12*A*a*b*e^2 + 3*A*b^2*d*e + 18*B*a*b*d*e))/(10*e^3) + (B*b^6*x^7)/(3*e))/(d^10 + e^10*x^10 + 10*d*e^9*x^9 + 45*d^8*e^2*x^2 + 120*d^7*e^3*x^3 + 210*d^6*e^4*x^4 + 252*d^5*e^5*x^5 + 210*d^4*e^6*x^6 + 120*d^3*e^7*x^7 + 45*d^2*e^8*x^8 + 10*d^9*e*x)","B"
1071,1,899,235,1.302998,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^12,x)","-\frac{\frac{84\,B\,a^6\,d\,e^6+840\,A\,a^6\,e^7+112\,B\,a^5\,b\,d^2\,e^5+504\,A\,a^5\,b\,d\,e^6+105\,B\,a^4\,b^2\,d^3\,e^4+280\,A\,a^4\,b^2\,d^2\,e^5+80\,B\,a^3\,b^3\,d^4\,e^3+140\,A\,a^3\,b^3\,d^3\,e^4+50\,B\,a^2\,b^4\,d^5\,e^2+60\,A\,a^2\,b^4\,d^4\,e^3+24\,B\,a\,b^5\,d^6\,e+20\,A\,a\,b^5\,d^5\,e^2+7\,B\,b^6\,d^7+4\,A\,b^6\,d^6\,e}{9240\,e^8}+\frac{x\,\left(84\,B\,a^6\,e^6+112\,B\,a^5\,b\,d\,e^5+504\,A\,a^5\,b\,e^6+105\,B\,a^4\,b^2\,d^2\,e^4+280\,A\,a^4\,b^2\,d\,e^5+80\,B\,a^3\,b^3\,d^3\,e^3+140\,A\,a^3\,b^3\,d^2\,e^4+50\,B\,a^2\,b^4\,d^4\,e^2+60\,A\,a^2\,b^4\,d^3\,e^3+24\,B\,a\,b^5\,d^5\,e+20\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6+4\,A\,b^6\,d^5\,e\right)}{840\,e^7}+\frac{b^3\,x^4\,\left(80\,B\,a^3\,e^3+50\,B\,a^2\,b\,d\,e^2+60\,A\,a^2\,b\,e^3+24\,B\,a\,b^2\,d^2\,e+20\,A\,a\,b^2\,d\,e^2+7\,B\,b^3\,d^3+4\,A\,b^3\,d^2\,e\right)}{28\,e^4}+\frac{b^5\,x^6\,\left(4\,A\,b\,e+24\,B\,a\,e+7\,B\,b\,d\right)}{20\,e^2}+\frac{b\,x^2\,\left(112\,B\,a^5\,e^5+105\,B\,a^4\,b\,d\,e^4+280\,A\,a^4\,b\,e^5+80\,B\,a^3\,b^2\,d^2\,e^3+140\,A\,a^3\,b^2\,d\,e^4+50\,B\,a^2\,b^3\,d^3\,e^2+60\,A\,a^2\,b^3\,d^2\,e^3+24\,B\,a\,b^4\,d^4\,e+20\,A\,a\,b^4\,d^3\,e^2+7\,B\,b^5\,d^5+4\,A\,b^5\,d^4\,e\right)}{168\,e^6}+\frac{b^2\,x^3\,\left(105\,B\,a^4\,e^4+80\,B\,a^3\,b\,d\,e^3+140\,A\,a^3\,b\,e^4+50\,B\,a^2\,b^2\,d^2\,e^2+60\,A\,a^2\,b^2\,d\,e^3+24\,B\,a\,b^3\,d^3\,e+20\,A\,a\,b^3\,d^2\,e^2+7\,B\,b^4\,d^4+4\,A\,b^4\,d^3\,e\right)}{56\,e^5}+\frac{b^4\,x^5\,\left(50\,B\,a^2\,e^2+24\,B\,a\,b\,d\,e+20\,A\,a\,b\,e^2+7\,B\,b^2\,d^2+4\,A\,b^2\,d\,e\right)}{20\,e^3}+\frac{B\,b^6\,x^7}{4\,e}}{d^{11}+11\,d^{10}\,e\,x+55\,d^9\,e^2\,x^2+165\,d^8\,e^3\,x^3+330\,d^7\,e^4\,x^4+462\,d^6\,e^5\,x^5+462\,d^5\,e^6\,x^6+330\,d^4\,e^7\,x^7+165\,d^3\,e^8\,x^8+55\,d^2\,e^9\,x^9+11\,d\,e^{10}\,x^{10}+e^{11}\,x^{11}}","Not used",1,"-((840*A*a^6*e^7 + 7*B*b^6*d^7 + 4*A*b^6*d^6*e + 84*B*a^6*d*e^6 + 20*A*a*b^5*d^5*e^2 + 112*B*a^5*b*d^2*e^5 + 60*A*a^2*b^4*d^4*e^3 + 140*A*a^3*b^3*d^3*e^4 + 280*A*a^4*b^2*d^2*e^5 + 50*B*a^2*b^4*d^5*e^2 + 80*B*a^3*b^3*d^4*e^3 + 105*B*a^4*b^2*d^3*e^4 + 504*A*a^5*b*d*e^6 + 24*B*a*b^5*d^6*e)/(9240*e^8) + (x*(84*B*a^6*e^6 + 7*B*b^6*d^6 + 504*A*a^5*b*e^6 + 4*A*b^6*d^5*e + 20*A*a*b^5*d^4*e^2 + 280*A*a^4*b^2*d*e^5 + 60*A*a^2*b^4*d^3*e^3 + 140*A*a^3*b^3*d^2*e^4 + 50*B*a^2*b^4*d^4*e^2 + 80*B*a^3*b^3*d^3*e^3 + 105*B*a^4*b^2*d^2*e^4 + 24*B*a*b^5*d^5*e + 112*B*a^5*b*d*e^5))/(840*e^7) + (b^3*x^4*(80*B*a^3*e^3 + 7*B*b^3*d^3 + 60*A*a^2*b*e^3 + 4*A*b^3*d^2*e + 20*A*a*b^2*d*e^2 + 24*B*a*b^2*d^2*e + 50*B*a^2*b*d*e^2))/(28*e^4) + (b^5*x^6*(4*A*b*e + 24*B*a*e + 7*B*b*d))/(20*e^2) + (b*x^2*(112*B*a^5*e^5 + 7*B*b^5*d^5 + 280*A*a^4*b*e^5 + 4*A*b^5*d^4*e + 20*A*a*b^4*d^3*e^2 + 140*A*a^3*b^2*d*e^4 + 60*A*a^2*b^3*d^2*e^3 + 50*B*a^2*b^3*d^3*e^2 + 80*B*a^3*b^2*d^2*e^3 + 24*B*a*b^4*d^4*e + 105*B*a^4*b*d*e^4))/(168*e^6) + (b^2*x^3*(105*B*a^4*e^4 + 7*B*b^4*d^4 + 140*A*a^3*b*e^4 + 4*A*b^4*d^3*e + 20*A*a*b^3*d^2*e^2 + 60*A*a^2*b^2*d*e^3 + 50*B*a^2*b^2*d^2*e^2 + 24*B*a*b^3*d^3*e + 80*B*a^3*b*d*e^3))/(56*e^5) + (b^4*x^5*(50*B*a^2*e^2 + 7*B*b^2*d^2 + 20*A*a*b*e^2 + 4*A*b^2*d*e + 24*B*a*b*d*e))/(20*e^3) + (B*b^6*x^7)/(4*e))/(d^11 + e^11*x^11 + 11*d*e^10*x^10 + 55*d^9*e^2*x^2 + 165*d^8*e^3*x^3 + 330*d^7*e^4*x^4 + 462*d^6*e^5*x^5 + 462*d^5*e^6*x^6 + 330*d^4*e^7*x^7 + 165*d^3*e^8*x^8 + 55*d^2*e^9*x^9 + 11*d^10*e*x)","B"
1072,1,910,292,1.592560,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^13,x)","-\frac{\frac{210\,B\,a^6\,d\,e^6+2310\,A\,a^6\,e^7+252\,B\,a^5\,b\,d^2\,e^5+1260\,A\,a^5\,b\,d\,e^6+210\,B\,a^4\,b^2\,d^3\,e^4+630\,A\,a^4\,b^2\,d^2\,e^5+140\,B\,a^3\,b^3\,d^4\,e^3+280\,A\,a^3\,b^3\,d^3\,e^4+75\,B\,a^2\,b^4\,d^5\,e^2+105\,A\,a^2\,b^4\,d^4\,e^3+30\,B\,a\,b^5\,d^6\,e+30\,A\,a\,b^5\,d^5\,e^2+7\,B\,b^6\,d^7+5\,A\,b^6\,d^6\,e}{27720\,e^8}+\frac{x\,\left(210\,B\,a^6\,e^6+252\,B\,a^5\,b\,d\,e^5+1260\,A\,a^5\,b\,e^6+210\,B\,a^4\,b^2\,d^2\,e^4+630\,A\,a^4\,b^2\,d\,e^5+140\,B\,a^3\,b^3\,d^3\,e^3+280\,A\,a^3\,b^3\,d^2\,e^4+75\,B\,a^2\,b^4\,d^4\,e^2+105\,A\,a^2\,b^4\,d^3\,e^3+30\,B\,a\,b^5\,d^5\,e+30\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6+5\,A\,b^6\,d^5\,e\right)}{2310\,e^7}+\frac{b^3\,x^4\,\left(140\,B\,a^3\,e^3+75\,B\,a^2\,b\,d\,e^2+105\,A\,a^2\,b\,e^3+30\,B\,a\,b^2\,d^2\,e+30\,A\,a\,b^2\,d\,e^2+7\,B\,b^3\,d^3+5\,A\,b^3\,d^2\,e\right)}{56\,e^4}+\frac{b^5\,x^6\,\left(5\,A\,b\,e+30\,B\,a\,e+7\,B\,b\,d\right)}{30\,e^2}+\frac{b\,x^2\,\left(252\,B\,a^5\,e^5+210\,B\,a^4\,b\,d\,e^4+630\,A\,a^4\,b\,e^5+140\,B\,a^3\,b^2\,d^2\,e^3+280\,A\,a^3\,b^2\,d\,e^4+75\,B\,a^2\,b^3\,d^3\,e^2+105\,A\,a^2\,b^3\,d^2\,e^3+30\,B\,a\,b^4\,d^4\,e+30\,A\,a\,b^4\,d^3\,e^2+7\,B\,b^5\,d^5+5\,A\,b^5\,d^4\,e\right)}{420\,e^6}+\frac{b^2\,x^3\,\left(210\,B\,a^4\,e^4+140\,B\,a^3\,b\,d\,e^3+280\,A\,a^3\,b\,e^4+75\,B\,a^2\,b^2\,d^2\,e^2+105\,A\,a^2\,b^2\,d\,e^3+30\,B\,a\,b^3\,d^3\,e+30\,A\,a\,b^3\,d^2\,e^2+7\,B\,b^4\,d^4+5\,A\,b^4\,d^3\,e\right)}{126\,e^5}+\frac{b^4\,x^5\,\left(75\,B\,a^2\,e^2+30\,B\,a\,b\,d\,e+30\,A\,a\,b\,e^2+7\,B\,b^2\,d^2+5\,A\,b^2\,d\,e\right)}{35\,e^3}+\frac{B\,b^6\,x^7}{5\,e}}{d^{12}+12\,d^{11}\,e\,x+66\,d^{10}\,e^2\,x^2+220\,d^9\,e^3\,x^3+495\,d^8\,e^4\,x^4+792\,d^7\,e^5\,x^5+924\,d^6\,e^6\,x^6+792\,d^5\,e^7\,x^7+495\,d^4\,e^8\,x^8+220\,d^3\,e^9\,x^9+66\,d^2\,e^{10}\,x^{10}+12\,d\,e^{11}\,x^{11}+e^{12}\,x^{12}}","Not used",1,"-((2310*A*a^6*e^7 + 7*B*b^6*d^7 + 5*A*b^6*d^6*e + 210*B*a^6*d*e^6 + 30*A*a*b^5*d^5*e^2 + 252*B*a^5*b*d^2*e^5 + 105*A*a^2*b^4*d^4*e^3 + 280*A*a^3*b^3*d^3*e^4 + 630*A*a^4*b^2*d^2*e^5 + 75*B*a^2*b^4*d^5*e^2 + 140*B*a^3*b^3*d^4*e^3 + 210*B*a^4*b^2*d^3*e^4 + 1260*A*a^5*b*d*e^6 + 30*B*a*b^5*d^6*e)/(27720*e^8) + (x*(210*B*a^6*e^6 + 7*B*b^6*d^6 + 1260*A*a^5*b*e^6 + 5*A*b^6*d^5*e + 30*A*a*b^5*d^4*e^2 + 630*A*a^4*b^2*d*e^5 + 105*A*a^2*b^4*d^3*e^3 + 280*A*a^3*b^3*d^2*e^4 + 75*B*a^2*b^4*d^4*e^2 + 140*B*a^3*b^3*d^3*e^3 + 210*B*a^4*b^2*d^2*e^4 + 30*B*a*b^5*d^5*e + 252*B*a^5*b*d*e^5))/(2310*e^7) + (b^3*x^4*(140*B*a^3*e^3 + 7*B*b^3*d^3 + 105*A*a^2*b*e^3 + 5*A*b^3*d^2*e + 30*A*a*b^2*d*e^2 + 30*B*a*b^2*d^2*e + 75*B*a^2*b*d*e^2))/(56*e^4) + (b^5*x^6*(5*A*b*e + 30*B*a*e + 7*B*b*d))/(30*e^2) + (b*x^2*(252*B*a^5*e^5 + 7*B*b^5*d^5 + 630*A*a^4*b*e^5 + 5*A*b^5*d^4*e + 30*A*a*b^4*d^3*e^2 + 280*A*a^3*b^2*d*e^4 + 105*A*a^2*b^3*d^2*e^3 + 75*B*a^2*b^3*d^3*e^2 + 140*B*a^3*b^2*d^2*e^3 + 30*B*a*b^4*d^4*e + 210*B*a^4*b*d*e^4))/(420*e^6) + (b^2*x^3*(210*B*a^4*e^4 + 7*B*b^4*d^4 + 280*A*a^3*b*e^4 + 5*A*b^4*d^3*e + 30*A*a*b^3*d^2*e^2 + 105*A*a^2*b^2*d*e^3 + 75*B*a^2*b^2*d^2*e^2 + 30*B*a*b^3*d^3*e + 140*B*a^3*b*d*e^3))/(126*e^5) + (b^4*x^5*(75*B*a^2*e^2 + 7*B*b^2*d^2 + 30*A*a*b*e^2 + 5*A*b^2*d*e + 30*B*a*b*d*e))/(35*e^3) + (B*b^6*x^7)/(5*e))/(d^12 + e^12*x^12 + 12*d*e^11*x^11 + 66*d^10*e^2*x^2 + 220*d^9*e^3*x^3 + 495*d^8*e^4*x^4 + 792*d^7*e^5*x^5 + 924*d^6*e^6*x^6 + 792*d^5*e^7*x^7 + 495*d^4*e^8*x^8 + 220*d^3*e^9*x^9 + 66*d^2*e^10*x^10 + 12*d^11*e*x)","B"
1073,1,921,292,0.812272,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^14,x)","-\frac{\frac{462\,B\,a^6\,d\,e^6+5544\,A\,a^6\,e^7+504\,B\,a^5\,b\,d^2\,e^5+2772\,A\,a^5\,b\,d\,e^6+378\,B\,a^4\,b^2\,d^3\,e^4+1260\,A\,a^4\,b^2\,d^2\,e^5+224\,B\,a^3\,b^3\,d^4\,e^3+504\,A\,a^3\,b^3\,d^3\,e^4+105\,B\,a^2\,b^4\,d^5\,e^2+168\,A\,a^2\,b^4\,d^4\,e^3+36\,B\,a\,b^5\,d^6\,e+42\,A\,a\,b^5\,d^5\,e^2+7\,B\,b^6\,d^7+6\,A\,b^6\,d^6\,e}{72072\,e^8}+\frac{x\,\left(462\,B\,a^6\,e^6+504\,B\,a^5\,b\,d\,e^5+2772\,A\,a^5\,b\,e^6+378\,B\,a^4\,b^2\,d^2\,e^4+1260\,A\,a^4\,b^2\,d\,e^5+224\,B\,a^3\,b^3\,d^3\,e^3+504\,A\,a^3\,b^3\,d^2\,e^4+105\,B\,a^2\,b^4\,d^4\,e^2+168\,A\,a^2\,b^4\,d^3\,e^3+36\,B\,a\,b^5\,d^5\,e+42\,A\,a\,b^5\,d^4\,e^2+7\,B\,b^6\,d^6+6\,A\,b^6\,d^5\,e\right)}{5544\,e^7}+\frac{5\,b^3\,x^4\,\left(224\,B\,a^3\,e^3+105\,B\,a^2\,b\,d\,e^2+168\,A\,a^2\,b\,e^3+36\,B\,a\,b^2\,d^2\,e+42\,A\,a\,b^2\,d\,e^2+7\,B\,b^3\,d^3+6\,A\,b^3\,d^2\,e\right)}{504\,e^4}+\frac{b^5\,x^6\,\left(6\,A\,b\,e+36\,B\,a\,e+7\,B\,b\,d\right)}{42\,e^2}+\frac{b\,x^2\,\left(504\,B\,a^5\,e^5+378\,B\,a^4\,b\,d\,e^4+1260\,A\,a^4\,b\,e^5+224\,B\,a^3\,b^2\,d^2\,e^3+504\,A\,a^3\,b^2\,d\,e^4+105\,B\,a^2\,b^3\,d^3\,e^2+168\,A\,a^2\,b^3\,d^2\,e^3+36\,B\,a\,b^4\,d^4\,e+42\,A\,a\,b^4\,d^3\,e^2+7\,B\,b^5\,d^5+6\,A\,b^5\,d^4\,e\right)}{924\,e^6}+\frac{b^2\,x^3\,\left(378\,B\,a^4\,e^4+224\,B\,a^3\,b\,d\,e^3+504\,A\,a^3\,b\,e^4+105\,B\,a^2\,b^2\,d^2\,e^2+168\,A\,a^2\,b^2\,d\,e^3+36\,B\,a\,b^3\,d^3\,e+42\,A\,a\,b^3\,d^2\,e^2+7\,B\,b^4\,d^4+6\,A\,b^4\,d^3\,e\right)}{252\,e^5}+\frac{b^4\,x^5\,\left(105\,B\,a^2\,e^2+36\,B\,a\,b\,d\,e+42\,A\,a\,b\,e^2+7\,B\,b^2\,d^2+6\,A\,b^2\,d\,e\right)}{56\,e^3}+\frac{B\,b^6\,x^7}{6\,e}}{d^{13}+13\,d^{12}\,e\,x+78\,d^{11}\,e^2\,x^2+286\,d^{10}\,e^3\,x^3+715\,d^9\,e^4\,x^4+1287\,d^8\,e^5\,x^5+1716\,d^7\,e^6\,x^6+1716\,d^6\,e^7\,x^7+1287\,d^5\,e^8\,x^8+715\,d^4\,e^9\,x^9+286\,d^3\,e^{10}\,x^{10}+78\,d^2\,e^{11}\,x^{11}+13\,d\,e^{12}\,x^{12}+e^{13}\,x^{13}}","Not used",1,"-((5544*A*a^6*e^7 + 7*B*b^6*d^7 + 6*A*b^6*d^6*e + 462*B*a^6*d*e^6 + 42*A*a*b^5*d^5*e^2 + 504*B*a^5*b*d^2*e^5 + 168*A*a^2*b^4*d^4*e^3 + 504*A*a^3*b^3*d^3*e^4 + 1260*A*a^4*b^2*d^2*e^5 + 105*B*a^2*b^4*d^5*e^2 + 224*B*a^3*b^3*d^4*e^3 + 378*B*a^4*b^2*d^3*e^4 + 2772*A*a^5*b*d*e^6 + 36*B*a*b^5*d^6*e)/(72072*e^8) + (x*(462*B*a^6*e^6 + 7*B*b^6*d^6 + 2772*A*a^5*b*e^6 + 6*A*b^6*d^5*e + 42*A*a*b^5*d^4*e^2 + 1260*A*a^4*b^2*d*e^5 + 168*A*a^2*b^4*d^3*e^3 + 504*A*a^3*b^3*d^2*e^4 + 105*B*a^2*b^4*d^4*e^2 + 224*B*a^3*b^3*d^3*e^3 + 378*B*a^4*b^2*d^2*e^4 + 36*B*a*b^5*d^5*e + 504*B*a^5*b*d*e^5))/(5544*e^7) + (5*b^3*x^4*(224*B*a^3*e^3 + 7*B*b^3*d^3 + 168*A*a^2*b*e^3 + 6*A*b^3*d^2*e + 42*A*a*b^2*d*e^2 + 36*B*a*b^2*d^2*e + 105*B*a^2*b*d*e^2))/(504*e^4) + (b^5*x^6*(6*A*b*e + 36*B*a*e + 7*B*b*d))/(42*e^2) + (b*x^2*(504*B*a^5*e^5 + 7*B*b^5*d^5 + 1260*A*a^4*b*e^5 + 6*A*b^5*d^4*e + 42*A*a*b^4*d^3*e^2 + 504*A*a^3*b^2*d*e^4 + 168*A*a^2*b^3*d^2*e^3 + 105*B*a^2*b^3*d^3*e^2 + 224*B*a^3*b^2*d^2*e^3 + 36*B*a*b^4*d^4*e + 378*B*a^4*b*d*e^4))/(924*e^6) + (b^2*x^3*(378*B*a^4*e^4 + 7*B*b^4*d^4 + 504*A*a^3*b*e^4 + 6*A*b^4*d^3*e + 42*A*a*b^3*d^2*e^2 + 168*A*a^2*b^2*d*e^3 + 105*B*a^2*b^2*d^2*e^2 + 36*B*a*b^3*d^3*e + 224*B*a^3*b*d*e^3))/(252*e^5) + (b^4*x^5*(105*B*a^2*e^2 + 7*B*b^2*d^2 + 42*A*a*b*e^2 + 6*A*b^2*d*e + 36*B*a*b*d*e))/(56*e^3) + (B*b^6*x^7)/(6*e))/(d^13 + e^13*x^13 + 13*d*e^12*x^12 + 78*d^11*e^2*x^2 + 286*d^10*e^3*x^3 + 715*d^9*e^4*x^4 + 1287*d^8*e^5*x^5 + 1716*d^7*e^6*x^6 + 1716*d^6*e^7*x^7 + 1287*d^5*e^8*x^8 + 715*d^4*e^9*x^9 + 286*d^3*e^10*x^10 + 78*d^2*e^11*x^11 + 13*d^12*e*x)","B"
1074,1,918,292,2.212108,"\text{Not used}","int(((A + B*x)*(a + b*x)^6)/(d + e*x)^15,x)","-\frac{\frac{132\,B\,a^6\,d\,e^6+1716\,A\,a^6\,e^7+132\,B\,a^5\,b\,d^2\,e^5+792\,A\,a^5\,b\,d\,e^6+90\,B\,a^4\,b^2\,d^3\,e^4+330\,A\,a^4\,b^2\,d^2\,e^5+48\,B\,a^3\,b^3\,d^4\,e^3+120\,A\,a^3\,b^3\,d^3\,e^4+20\,B\,a^2\,b^4\,d^5\,e^2+36\,A\,a^2\,b^4\,d^4\,e^3+6\,B\,a\,b^5\,d^6\,e+8\,A\,a\,b^5\,d^5\,e^2+B\,b^6\,d^7+A\,b^6\,d^6\,e}{24024\,e^8}+\frac{x\,\left(132\,B\,a^6\,e^6+132\,B\,a^5\,b\,d\,e^5+792\,A\,a^5\,b\,e^6+90\,B\,a^4\,b^2\,d^2\,e^4+330\,A\,a^4\,b^2\,d\,e^5+48\,B\,a^3\,b^3\,d^3\,e^3+120\,A\,a^3\,b^3\,d^2\,e^4+20\,B\,a^2\,b^4\,d^4\,e^2+36\,A\,a^2\,b^4\,d^3\,e^3+6\,B\,a\,b^5\,d^5\,e+8\,A\,a\,b^5\,d^4\,e^2+B\,b^6\,d^6+A\,b^6\,d^5\,e\right)}{1716\,e^7}+\frac{b^3\,x^4\,\left(48\,B\,a^3\,e^3+20\,B\,a^2\,b\,d\,e^2+36\,A\,a^2\,b\,e^3+6\,B\,a\,b^2\,d^2\,e+8\,A\,a\,b^2\,d\,e^2+B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{24\,e^4}+\frac{b^5\,x^6\,\left(A\,b\,e+6\,B\,a\,e+B\,b\,d\right)}{8\,e^2}+\frac{b\,x^2\,\left(132\,B\,a^5\,e^5+90\,B\,a^4\,b\,d\,e^4+330\,A\,a^4\,b\,e^5+48\,B\,a^3\,b^2\,d^2\,e^3+120\,A\,a^3\,b^2\,d\,e^4+20\,B\,a^2\,b^3\,d^3\,e^2+36\,A\,a^2\,b^3\,d^2\,e^3+6\,B\,a\,b^4\,d^4\,e+8\,A\,a\,b^4\,d^3\,e^2+B\,b^5\,d^5+A\,b^5\,d^4\,e\right)}{264\,e^6}+\frac{b^2\,x^3\,\left(90\,B\,a^4\,e^4+48\,B\,a^3\,b\,d\,e^3+120\,A\,a^3\,b\,e^4+20\,B\,a^2\,b^2\,d^2\,e^2+36\,A\,a^2\,b^2\,d\,e^3+6\,B\,a\,b^3\,d^3\,e+8\,A\,a\,b^3\,d^2\,e^2+B\,b^4\,d^4+A\,b^4\,d^3\,e\right)}{66\,e^5}+\frac{b^4\,x^5\,\left(20\,B\,a^2\,e^2+6\,B\,a\,b\,d\,e+8\,A\,a\,b\,e^2+B\,b^2\,d^2+A\,b^2\,d\,e\right)}{12\,e^3}+\frac{B\,b^6\,x^7}{7\,e}}{d^{14}+14\,d^{13}\,e\,x+91\,d^{12}\,e^2\,x^2+364\,d^{11}\,e^3\,x^3+1001\,d^{10}\,e^4\,x^4+2002\,d^9\,e^5\,x^5+3003\,d^8\,e^6\,x^6+3432\,d^7\,e^7\,x^7+3003\,d^6\,e^8\,x^8+2002\,d^5\,e^9\,x^9+1001\,d^4\,e^{10}\,x^{10}+364\,d^3\,e^{11}\,x^{11}+91\,d^2\,e^{12}\,x^{12}+14\,d\,e^{13}\,x^{13}+e^{14}\,x^{14}}","Not used",1,"-((1716*A*a^6*e^7 + B*b^6*d^7 + A*b^6*d^6*e + 132*B*a^6*d*e^6 + 8*A*a*b^5*d^5*e^2 + 132*B*a^5*b*d^2*e^5 + 36*A*a^2*b^4*d^4*e^3 + 120*A*a^3*b^3*d^3*e^4 + 330*A*a^4*b^2*d^2*e^5 + 20*B*a^2*b^4*d^5*e^2 + 48*B*a^3*b^3*d^4*e^3 + 90*B*a^4*b^2*d^3*e^4 + 792*A*a^5*b*d*e^6 + 6*B*a*b^5*d^6*e)/(24024*e^8) + (x*(132*B*a^6*e^6 + B*b^6*d^6 + 792*A*a^5*b*e^6 + A*b^6*d^5*e + 8*A*a*b^5*d^4*e^2 + 330*A*a^4*b^2*d*e^5 + 36*A*a^2*b^4*d^3*e^3 + 120*A*a^3*b^3*d^2*e^4 + 20*B*a^2*b^4*d^4*e^2 + 48*B*a^3*b^3*d^3*e^3 + 90*B*a^4*b^2*d^2*e^4 + 6*B*a*b^5*d^5*e + 132*B*a^5*b*d*e^5))/(1716*e^7) + (b^3*x^4*(48*B*a^3*e^3 + B*b^3*d^3 + 36*A*a^2*b*e^3 + A*b^3*d^2*e + 8*A*a*b^2*d*e^2 + 6*B*a*b^2*d^2*e + 20*B*a^2*b*d*e^2))/(24*e^4) + (b^5*x^6*(A*b*e + 6*B*a*e + B*b*d))/(8*e^2) + (b*x^2*(132*B*a^5*e^5 + B*b^5*d^5 + 330*A*a^4*b*e^5 + A*b^5*d^4*e + 8*A*a*b^4*d^3*e^2 + 120*A*a^3*b^2*d*e^4 + 36*A*a^2*b^3*d^2*e^3 + 20*B*a^2*b^3*d^3*e^2 + 48*B*a^3*b^2*d^2*e^3 + 6*B*a*b^4*d^4*e + 90*B*a^4*b*d*e^4))/(264*e^6) + (b^2*x^3*(90*B*a^4*e^4 + B*b^4*d^4 + 120*A*a^3*b*e^4 + A*b^4*d^3*e + 8*A*a*b^3*d^2*e^2 + 36*A*a^2*b^2*d*e^3 + 20*B*a^2*b^2*d^2*e^2 + 6*B*a*b^3*d^3*e + 48*B*a^3*b*d*e^3))/(66*e^5) + (b^4*x^5*(20*B*a^2*e^2 + B*b^2*d^2 + 8*A*a*b*e^2 + A*b^2*d*e + 6*B*a*b*d*e))/(12*e^3) + (B*b^6*x^7)/(7*e))/(d^14 + e^14*x^14 + 14*d*e^13*x^13 + 91*d^12*e^2*x^2 + 364*d^11*e^3*x^3 + 1001*d^10*e^4*x^4 + 2002*d^9*e^5*x^5 + 3003*d^8*e^6*x^6 + 3432*d^7*e^7*x^7 + 3003*d^6*e^8*x^8 + 2002*d^5*e^9*x^9 + 1001*d^4*e^10*x^10 + 364*d^3*e^11*x^11 + 91*d^2*e^12*x^12 + 14*d^13*e*x)","B"
1075,1,4206,464,1.645337,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^13,x)","x^{13}\,\left(6\,B\,a^{10}\,d^2\,e^{11}+A\,a^{10}\,d\,e^{12}+220\,B\,a^9\,b\,d^3\,e^{10}+60\,A\,a^9\,b\,d^2\,e^{11}+2475\,B\,a^8\,b^2\,d^4\,e^9+990\,A\,a^8\,b^2\,d^3\,e^{10}+11880\,B\,a^7\,b^3\,d^5\,e^8+6600\,A\,a^7\,b^3\,d^4\,e^9+27720\,B\,a^6\,b^4\,d^6\,e^7+20790\,A\,a^6\,b^4\,d^5\,e^8+33264\,B\,a^5\,b^5\,d^7\,e^6+33264\,A\,a^5\,b^5\,d^6\,e^7+20790\,B\,a^4\,b^6\,d^8\,e^5+27720\,A\,a^4\,b^6\,d^7\,e^6+6600\,B\,a^3\,b^7\,d^9\,e^4+11880\,A\,a^3\,b^7\,d^8\,e^5+990\,B\,a^2\,b^8\,d^{10}\,e^3+2475\,A\,a^2\,b^8\,d^9\,e^4+60\,B\,a\,b^9\,d^{11}\,e^2+220\,A\,a\,b^9\,d^{10}\,e^3+B\,b^{10}\,d^{12}\,e+6\,A\,b^{10}\,d^{11}\,e^2\right)+x^5\,\left(\frac{286\,B\,a^{10}\,d^{10}\,e^3}{5}+143\,A\,a^{10}\,d^9\,e^4+156\,B\,a^9\,b\,d^{11}\,e^2+572\,A\,a^9\,b\,d^{10}\,e^3+117\,B\,a^8\,b^2\,d^{12}\,e+702\,A\,a^8\,b^2\,d^{11}\,e^2+24\,B\,a^7\,b^3\,d^{13}+312\,A\,a^7\,b^3\,d^{12}\,e+42\,A\,a^6\,b^4\,d^{13}\right)+x^8\,\left(\frac{429\,B\,a^{10}\,d^7\,e^6}{2}+\frac{429\,A\,a^{10}\,d^6\,e^7}{2}+\frac{6435\,B\,a^9\,b\,d^8\,e^5}{4}+2145\,A\,a^9\,b\,d^7\,e^6+\frac{32175\,B\,a^8\,b^2\,d^9\,e^4}{8}+\frac{57915\,A\,a^8\,b^2\,d^8\,e^5}{8}+4290\,B\,a^7\,b^3\,d^{10}\,e^3+10725\,A\,a^7\,b^3\,d^9\,e^4+\frac{4095\,B\,a^6\,b^4\,d^{11}\,e^2}{2}+\frac{15015\,A\,a^6\,b^4\,d^{10}\,e^3}{2}+\frac{819\,B\,a^5\,b^5\,d^{12}\,e}{2}+2457\,A\,a^5\,b^5\,d^{11}\,e^2+\frac{105\,B\,a^4\,b^6\,d^{13}}{4}+\frac{1365\,A\,a^4\,b^6\,d^{12}\,e}{4}+15\,A\,a^3\,b^7\,d^{13}\right)+x^{21}\,\left(10\,B\,a^4\,b^6\,e^{13}+\frac{520\,B\,a^3\,b^7\,d\,e^{12}}{7}+\frac{40\,A\,a^3\,b^7\,e^{13}}{7}+\frac{1170\,B\,a^2\,b^8\,d^2\,e^{11}}{7}+\frac{195\,A\,a^2\,b^8\,d\,e^{12}}{7}+\frac{2860\,B\,a\,b^9\,d^3\,e^{10}}{21}+\frac{260\,A\,a\,b^9\,d^2\,e^{11}}{7}+\frac{715\,B\,b^{10}\,d^4\,e^9}{21}+\frac{286\,A\,b^{10}\,d^3\,e^{10}}{21}\right)+x^{18}\,\left(\frac{20\,B\,a^7\,b^3\,e^{13}}{3}+\frac{455\,B\,a^6\,b^4\,d\,e^{12}}{3}+\frac{35\,A\,a^6\,b^4\,e^{13}}{3}+1092\,B\,a^5\,b^5\,d^2\,e^{11}+182\,A\,a^5\,b^5\,d\,e^{12}+\frac{10010\,B\,a^4\,b^6\,d^3\,e^{10}}{3}+910\,A\,a^4\,b^6\,d^2\,e^{11}+\frac{14300\,B\,a^3\,b^7\,d^4\,e^9}{3}+\frac{5720\,A\,a^3\,b^7\,d^3\,e^{10}}{3}+\frac{6435\,B\,a^2\,b^8\,d^5\,e^8}{2}+\frac{3575\,A\,a^2\,b^8\,d^4\,e^9}{2}+\frac{2860\,B\,a\,b^9\,d^6\,e^7}{3}+715\,A\,a\,b^9\,d^5\,e^8+\frac{286\,B\,b^{10}\,d^7\,e^6}{3}+\frac{286\,A\,b^{10}\,d^6\,e^7}{3}\right)+x^{12}\,\left(\frac{143\,B\,a^{10}\,d^3\,e^{10}}{6}+\frac{13\,A\,a^{10}\,d^2\,e^{11}}{2}+\frac{3575\,B\,a^9\,b\,d^4\,e^9}{6}+\frac{715\,A\,a^9\,b\,d^3\,e^{10}}{3}+\frac{19305\,B\,a^8\,b^2\,d^5\,e^8}{4}+\frac{10725\,A\,a^8\,b^2\,d^4\,e^9}{4}+17160\,B\,a^7\,b^3\,d^6\,e^7+12870\,A\,a^7\,b^3\,d^5\,e^8+30030\,B\,a^6\,b^4\,d^7\,e^6+30030\,A\,a^6\,b^4\,d^6\,e^7+27027\,B\,a^5\,b^5\,d^8\,e^5+36036\,A\,a^5\,b^5\,d^7\,e^6+\frac{25025\,B\,a^4\,b^6\,d^9\,e^4}{2}+\frac{45045\,A\,a^4\,b^6\,d^8\,e^5}{2}+2860\,B\,a^3\,b^7\,d^{10}\,e^3+7150\,A\,a^3\,b^7\,d^9\,e^4+\frac{585\,B\,a^2\,b^8\,d^{11}\,e^2}{2}+\frac{2145\,A\,a^2\,b^8\,d^{10}\,e^3}{2}+\frac{65\,B\,a\,b^9\,d^{12}\,e}{6}+65\,A\,a\,b^9\,d^{11}\,e^2+\frac{B\,b^{10}\,d^{13}}{12}+\frac{13\,A\,b^{10}\,d^{12}\,e}{12}\right)+x^{14}\,\left(\frac{13\,B\,a^{10}\,d\,e^{12}}{14}+\frac{A\,a^{10}\,e^{13}}{14}+\frac{390\,B\,a^9\,b\,d^2\,e^{11}}{7}+\frac{65\,A\,a^9\,b\,d\,e^{12}}{7}+\frac{6435\,B\,a^8\,b^2\,d^3\,e^{10}}{7}+\frac{1755\,A\,a^8\,b^2\,d^2\,e^{11}}{7}+\frac{42900\,B\,a^7\,b^3\,d^4\,e^9}{7}+\frac{17160\,A\,a^7\,b^3\,d^3\,e^{10}}{7}+19305\,B\,a^6\,b^4\,d^5\,e^8+10725\,A\,a^6\,b^4\,d^4\,e^9+30888\,B\,a^5\,b^5\,d^6\,e^7+23166\,A\,a^5\,b^5\,d^5\,e^8+25740\,B\,a^4\,b^6\,d^7\,e^6+25740\,A\,a^4\,b^6\,d^6\,e^7+\frac{77220\,B\,a^3\,b^7\,d^8\,e^5}{7}+\frac{102960\,A\,a^3\,b^7\,d^7\,e^6}{7}+\frac{32175\,B\,a^2\,b^8\,d^9\,e^4}{14}+\frac{57915\,A\,a^2\,b^8\,d^8\,e^5}{14}+\frac{1430\,B\,a\,b^9\,d^{10}\,e^3}{7}+\frac{3575\,A\,a\,b^9\,d^9\,e^4}{7}+\frac{39\,B\,b^{10}\,d^{11}\,e^2}{7}+\frac{143\,A\,b^{10}\,d^{10}\,e^3}{7}\right)+x^{10}\,\left(\frac{1287\,B\,a^{10}\,d^5\,e^8}{10}+\frac{143\,A\,a^{10}\,d^4\,e^9}{2}+1716\,B\,a^9\,b\,d^6\,e^7+1287\,A\,a^9\,b\,d^5\,e^8+7722\,B\,a^8\,b^2\,d^7\,e^6+7722\,A\,a^8\,b^2\,d^6\,e^7+15444\,B\,a^7\,b^3\,d^8\,e^5+20592\,A\,a^7\,b^3\,d^7\,e^6+15015\,B\,a^6\,b^4\,d^9\,e^4+27027\,A\,a^6\,b^4\,d^8\,e^5+\frac{36036\,B\,a^5\,b^5\,d^{10}\,e^3}{5}+18018\,A\,a^5\,b^5\,d^9\,e^4+1638\,B\,a^4\,b^6\,d^{11}\,e^2+6006\,A\,a^4\,b^6\,d^{10}\,e^3+156\,B\,a^3\,b^7\,d^{12}\,e+936\,A\,a^3\,b^7\,d^{11}\,e^2+\frac{9\,B\,a^2\,b^8\,d^{13}}{2}+\frac{117\,A\,a^2\,b^8\,d^{12}\,e}{2}+A\,a\,b^9\,d^{13}\right)+x^{16}\,\left(\frac{5\,B\,a^9\,b\,e^{13}}{8}+\frac{585\,B\,a^8\,b^2\,d\,e^{12}}{16}+\frac{45\,A\,a^8\,b^2\,e^{13}}{16}+585\,B\,a^7\,b^3\,d^2\,e^{11}+\frac{195\,A\,a^7\,b^3\,d\,e^{12}}{2}+\frac{15015\,B\,a^6\,b^4\,d^3\,e^{10}}{4}+\frac{4095\,A\,a^6\,b^4\,d^2\,e^{11}}{4}+\frac{45045\,B\,a^5\,b^5\,d^4\,e^9}{4}+\frac{9009\,A\,a^5\,b^5\,d^3\,e^{10}}{2}+\frac{135135\,B\,a^4\,b^6\,d^5\,e^8}{8}+\frac{75075\,A\,a^4\,b^6\,d^4\,e^9}{8}+12870\,B\,a^3\,b^7\,d^6\,e^7+\frac{19305\,A\,a^3\,b^7\,d^5\,e^8}{2}+\frac{19305\,B\,a^2\,b^8\,d^7\,e^6}{4}+\frac{19305\,A\,a^2\,b^8\,d^6\,e^7}{4}+\frac{6435\,B\,a\,b^9\,d^8\,e^5}{8}+\frac{2145\,A\,a\,b^9\,d^7\,e^6}{2}+\frac{715\,B\,b^{10}\,d^9\,e^4}{16}+\frac{1287\,A\,b^{10}\,d^8\,e^5}{16}\right)+x^6\,\left(\frac{715\,B\,a^{10}\,d^9\,e^4}{6}+\frac{429\,A\,a^{10}\,d^8\,e^5}{2}+\frac{1430\,B\,a^9\,b\,d^{10}\,e^3}{3}+\frac{3575\,A\,a^9\,b\,d^9\,e^4}{3}+585\,B\,a^8\,b^2\,d^{11}\,e^2+2145\,A\,a^8\,b^2\,d^{10}\,e^3+260\,B\,a^7\,b^3\,d^{12}\,e+1560\,A\,a^7\,b^3\,d^{11}\,e^2+35\,B\,a^6\,b^4\,d^{13}+455\,A\,a^6\,b^4\,d^{12}\,e+42\,A\,a^5\,b^5\,d^{13}\right)+x^9\,\left(\frac{572\,B\,a^{10}\,d^6\,e^7}{3}+143\,A\,a^{10}\,d^5\,e^8+\frac{5720\,B\,a^9\,b\,d^7\,e^6}{3}+\frac{5720\,A\,a^9\,b\,d^6\,e^7}{3}+6435\,B\,a^8\,b^2\,d^8\,e^5+8580\,A\,a^8\,b^2\,d^7\,e^6+\frac{28600\,B\,a^7\,b^3\,d^9\,e^4}{3}+17160\,A\,a^7\,b^3\,d^8\,e^5+\frac{20020\,B\,a^6\,b^4\,d^{10}\,e^3}{3}+\frac{50050\,A\,a^6\,b^4\,d^9\,e^4}{3}+2184\,B\,a^5\,b^5\,d^{11}\,e^2+8008\,A\,a^5\,b^5\,d^{10}\,e^3+\frac{910\,B\,a^4\,b^6\,d^{12}\,e}{3}+1820\,A\,a^4\,b^6\,d^{11}\,e^2+\frac{40\,B\,a^3\,b^7\,d^{13}}{3}+\frac{520\,A\,a^3\,b^7\,d^{12}\,e}{3}+5\,A\,a^2\,b^8\,d^{13}\right)+x^{20}\,\left(\frac{63\,B\,a^5\,b^5\,e^{13}}{5}+\frac{273\,B\,a^4\,b^6\,d\,e^{12}}{2}+\frac{21\,A\,a^4\,b^6\,e^{13}}{2}+468\,B\,a^3\,b^7\,d^2\,e^{11}+78\,A\,a^3\,b^7\,d\,e^{12}+\frac{1287\,B\,a^2\,b^8\,d^3\,e^{10}}{2}+\frac{351\,A\,a^2\,b^8\,d^2\,e^{11}}{2}+\frac{715\,B\,a\,b^9\,d^4\,e^9}{2}+143\,A\,a\,b^9\,d^3\,e^{10}+\frac{1287\,B\,b^{10}\,d^5\,e^8}{20}+\frac{143\,A\,b^{10}\,d^4\,e^9}{4}\right)+x^{17}\,\left(\frac{45\,B\,a^8\,b^2\,e^{13}}{17}+\frac{1560\,B\,a^7\,b^3\,d\,e^{12}}{17}+\frac{120\,A\,a^7\,b^3\,e^{13}}{17}+\frac{16380\,B\,a^6\,b^4\,d^2\,e^{11}}{17}+\frac{2730\,A\,a^6\,b^4\,d\,e^{12}}{17}+\frac{72072\,B\,a^5\,b^5\,d^3\,e^{10}}{17}+\frac{19656\,A\,a^5\,b^5\,d^2\,e^{11}}{17}+\frac{150150\,B\,a^4\,b^6\,d^4\,e^9}{17}+\frac{60060\,A\,a^4\,b^6\,d^3\,e^{10}}{17}+\frac{154440\,B\,a^3\,b^7\,d^5\,e^8}{17}+\frac{85800\,A\,a^3\,b^7\,d^4\,e^9}{17}+\frac{77220\,B\,a^2\,b^8\,d^6\,e^7}{17}+\frac{57915\,A\,a^2\,b^8\,d^5\,e^8}{17}+\frac{17160\,B\,a\,b^9\,d^7\,e^6}{17}+\frac{17160\,A\,a\,b^9\,d^6\,e^7}{17}+\frac{1287\,B\,b^{10}\,d^8\,e^5}{17}+\frac{1716\,A\,b^{10}\,d^7\,e^6}{17}\right)+x^{11}\,\left(65\,B\,a^{10}\,d^4\,e^9+26\,A\,a^{10}\,d^3\,e^{10}+1170\,B\,a^9\,b\,d^5\,e^8+650\,A\,a^9\,b\,d^4\,e^9+7020\,B\,a^8\,b^2\,d^6\,e^7+5265\,A\,a^8\,b^2\,d^5\,e^8+18720\,B\,a^7\,b^3\,d^7\,e^6+18720\,A\,a^7\,b^3\,d^6\,e^7+24570\,B\,a^6\,b^4\,d^8\,e^5+32760\,A\,a^6\,b^4\,d^7\,e^6+16380\,B\,a^5\,b^5\,d^9\,e^4+29484\,A\,a^5\,b^5\,d^8\,e^5+5460\,B\,a^4\,b^6\,d^{10}\,e^3+13650\,A\,a^4\,b^6\,d^9\,e^4+\frac{9360\,B\,a^3\,b^7\,d^{11}\,e^2}{11}+3120\,A\,a^3\,b^7\,d^{10}\,e^3+\frac{585\,B\,a^2\,b^8\,d^{12}\,e}{11}+\frac{3510\,A\,a^2\,b^8\,d^{11}\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^{13}}{11}+\frac{130\,A\,a\,b^9\,d^{12}\,e}{11}+\frac{A\,b^{10}\,d^{13}}{11}\right)+x^{15}\,\left(\frac{B\,a^{10}\,e^{13}}{15}+\frac{26\,B\,a^9\,b\,d\,e^{12}}{3}+\frac{2\,A\,a^9\,b\,e^{13}}{3}+234\,B\,a^8\,b^2\,d^2\,e^{11}+39\,A\,a^8\,b^2\,d\,e^{12}+2288\,B\,a^7\,b^3\,d^3\,e^{10}+624\,A\,a^7\,b^3\,d^2\,e^{11}+10010\,B\,a^6\,b^4\,d^4\,e^9+4004\,A\,a^6\,b^4\,d^3\,e^{10}+\frac{108108\,B\,a^5\,b^5\,d^5\,e^8}{5}+12012\,A\,a^5\,b^5\,d^4\,e^9+24024\,B\,a^4\,b^6\,d^6\,e^7+18018\,A\,a^4\,b^6\,d^5\,e^8+13728\,B\,a^3\,b^7\,d^7\,e^6+13728\,A\,a^3\,b^7\,d^6\,e^7+3861\,B\,a^2\,b^8\,d^8\,e^5+5148\,A\,a^2\,b^8\,d^7\,e^6+\frac{1430\,B\,a\,b^9\,d^9\,e^4}{3}+858\,A\,a\,b^9\,d^8\,e^5+\frac{286\,B\,b^{10}\,d^{10}\,e^3}{15}+\frac{143\,A\,b^{10}\,d^9\,e^4}{3}\right)+x^4\,\left(\frac{39\,B\,a^{10}\,d^{11}\,e^2}{2}+\frac{143\,A\,a^{10}\,d^{10}\,e^3}{2}+\frac{65\,B\,a^9\,b\,d^{12}\,e}{2}+195\,A\,a^9\,b\,d^{11}\,e^2+\frac{45\,B\,a^8\,b^2\,d^{13}}{4}+\frac{585\,A\,a^8\,b^2\,d^{12}\,e}{4}+30\,A\,a^7\,b^3\,d^{13}\right)+x^7\,\left(\frac{1287\,B\,a^{10}\,d^8\,e^5}{7}+\frac{1716\,A\,a^{10}\,d^7\,e^6}{7}+\frac{7150\,B\,a^9\,b\,d^9\,e^4}{7}+\frac{12870\,A\,a^9\,b\,d^8\,e^5}{7}+\frac{12870\,B\,a^8\,b^2\,d^{10}\,e^3}{7}+\frac{32175\,A\,a^8\,b^2\,d^9\,e^4}{7}+\frac{9360\,B\,a^7\,b^3\,d^{11}\,e^2}{7}+\frac{34320\,A\,a^7\,b^3\,d^{10}\,e^3}{7}+390\,B\,a^6\,b^4\,d^{12}\,e+2340\,A\,a^6\,b^4\,d^{11}\,e^2+36\,B\,a^5\,b^5\,d^{13}+468\,A\,a^5\,b^5\,d^{12}\,e+30\,A\,a^4\,b^6\,d^{13}\right)+x^{22}\,\left(\frac{60\,B\,a^3\,b^7\,e^{13}}{11}+\frac{585\,B\,a^2\,b^8\,d\,e^{12}}{22}+\frac{45\,A\,a^2\,b^8\,e^{13}}{22}+\frac{390\,B\,a\,b^9\,d^2\,e^{11}}{11}+\frac{65\,A\,a\,b^9\,d\,e^{12}}{11}+13\,B\,b^{10}\,d^3\,e^{10}+\frac{39\,A\,b^{10}\,d^2\,e^{11}}{11}\right)+x^{19}\,\left(\frac{210\,B\,a^6\,b^4\,e^{13}}{19}+\frac{3276\,B\,a^5\,b^5\,d\,e^{12}}{19}+\frac{252\,A\,a^5\,b^5\,e^{13}}{19}+\frac{16380\,B\,a^4\,b^6\,d^2\,e^{11}}{19}+\frac{2730\,A\,a^4\,b^6\,d\,e^{12}}{19}+\frac{34320\,B\,a^3\,b^7\,d^3\,e^{10}}{19}+\frac{9360\,A\,a^3\,b^7\,d^2\,e^{11}}{19}+\frac{32175\,B\,a^2\,b^8\,d^4\,e^9}{19}+\frac{12870\,A\,a^2\,b^8\,d^3\,e^{10}}{19}+\frac{12870\,B\,a\,b^9\,d^5\,e^8}{19}+\frac{7150\,A\,a\,b^9\,d^4\,e^9}{19}+\frac{1716\,B\,b^{10}\,d^6\,e^7}{19}+\frac{1287\,A\,b^{10}\,d^5\,e^8}{19}\right)+\frac{a^9\,d^{12}\,x^2\,\left(13\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^{12}\,x^{24}\,\left(A\,b\,e+10\,B\,a\,e+13\,B\,b\,d\right)}{24}+A\,a^{10}\,d^{13}\,x+\frac{a^8\,d^{11}\,x^3\,\left(13\,B\,a^2\,d\,e+78\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+130\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^{11}\,x^{23}\,\left(45\,B\,a^2\,e^2+130\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+78\,B\,b^2\,d^2+13\,A\,b^2\,d\,e\right)}{23}+\frac{B\,b^{10}\,e^{13}\,x^{25}}{25}","Not used",1,"x^13*(A*a^10*d*e^12 + B*b^10*d^12*e + 6*A*b^10*d^11*e^2 + 6*B*a^10*d^2*e^11 + 220*A*a*b^9*d^10*e^3 + 60*A*a^9*b*d^2*e^11 + 60*B*a*b^9*d^11*e^2 + 220*B*a^9*b*d^3*e^10 + 2475*A*a^2*b^8*d^9*e^4 + 11880*A*a^3*b^7*d^8*e^5 + 27720*A*a^4*b^6*d^7*e^6 + 33264*A*a^5*b^5*d^6*e^7 + 20790*A*a^6*b^4*d^5*e^8 + 6600*A*a^7*b^3*d^4*e^9 + 990*A*a^8*b^2*d^3*e^10 + 990*B*a^2*b^8*d^10*e^3 + 6600*B*a^3*b^7*d^9*e^4 + 20790*B*a^4*b^6*d^8*e^5 + 33264*B*a^5*b^5*d^7*e^6 + 27720*B*a^6*b^4*d^6*e^7 + 11880*B*a^7*b^3*d^5*e^8 + 2475*B*a^8*b^2*d^4*e^9) + x^5*(42*A*a^6*b^4*d^13 + 24*B*a^7*b^3*d^13 + 143*A*a^10*d^9*e^4 + (286*B*a^10*d^10*e^3)/5 + 312*A*a^7*b^3*d^12*e + 572*A*a^9*b*d^10*e^3 + 117*B*a^8*b^2*d^12*e + 156*B*a^9*b*d^11*e^2 + 702*A*a^8*b^2*d^11*e^2) + x^8*(15*A*a^3*b^7*d^13 + (105*B*a^4*b^6*d^13)/4 + (429*A*a^10*d^6*e^7)/2 + (429*B*a^10*d^7*e^6)/2 + (1365*A*a^4*b^6*d^12*e)/4 + 2145*A*a^9*b*d^7*e^6 + (819*B*a^5*b^5*d^12*e)/2 + (6435*B*a^9*b*d^8*e^5)/4 + 2457*A*a^5*b^5*d^11*e^2 + (15015*A*a^6*b^4*d^10*e^3)/2 + 10725*A*a^7*b^3*d^9*e^4 + (57915*A*a^8*b^2*d^8*e^5)/8 + (4095*B*a^6*b^4*d^11*e^2)/2 + 4290*B*a^7*b^3*d^10*e^3 + (32175*B*a^8*b^2*d^9*e^4)/8) + x^21*((40*A*a^3*b^7*e^13)/7 + 10*B*a^4*b^6*e^13 + (286*A*b^10*d^3*e^10)/21 + (715*B*b^10*d^4*e^9)/21 + (260*A*a*b^9*d^2*e^11)/7 + (195*A*a^2*b^8*d*e^12)/7 + (2860*B*a*b^9*d^3*e^10)/21 + (520*B*a^3*b^7*d*e^12)/7 + (1170*B*a^2*b^8*d^2*e^11)/7) + x^18*((35*A*a^6*b^4*e^13)/3 + (20*B*a^7*b^3*e^13)/3 + (286*A*b^10*d^6*e^7)/3 + (286*B*b^10*d^7*e^6)/3 + 715*A*a*b^9*d^5*e^8 + 182*A*a^5*b^5*d*e^12 + (2860*B*a*b^9*d^6*e^7)/3 + (455*B*a^6*b^4*d*e^12)/3 + (3575*A*a^2*b^8*d^4*e^9)/2 + (5720*A*a^3*b^7*d^3*e^10)/3 + 910*A*a^4*b^6*d^2*e^11 + (6435*B*a^2*b^8*d^5*e^8)/2 + (14300*B*a^3*b^7*d^4*e^9)/3 + (10010*B*a^4*b^6*d^3*e^10)/3 + 1092*B*a^5*b^5*d^2*e^11) + x^12*((B*b^10*d^13)/12 + (13*A*b^10*d^12*e)/12 + (13*A*a^10*d^2*e^11)/2 + (143*B*a^10*d^3*e^10)/6 + 65*A*a*b^9*d^11*e^2 + (715*A*a^9*b*d^3*e^10)/3 + (3575*B*a^9*b*d^4*e^9)/6 + (2145*A*a^2*b^8*d^10*e^3)/2 + 7150*A*a^3*b^7*d^9*e^4 + (45045*A*a^4*b^6*d^8*e^5)/2 + 36036*A*a^5*b^5*d^7*e^6 + 30030*A*a^6*b^4*d^6*e^7 + 12870*A*a^7*b^3*d^5*e^8 + (10725*A*a^8*b^2*d^4*e^9)/4 + (585*B*a^2*b^8*d^11*e^2)/2 + 2860*B*a^3*b^7*d^10*e^3 + (25025*B*a^4*b^6*d^9*e^4)/2 + 27027*B*a^5*b^5*d^8*e^5 + 30030*B*a^6*b^4*d^7*e^6 + 17160*B*a^7*b^3*d^6*e^7 + (19305*B*a^8*b^2*d^5*e^8)/4 + (65*B*a*b^9*d^12*e)/6) + x^14*((A*a^10*e^13)/14 + (13*B*a^10*d*e^12)/14 + (143*A*b^10*d^10*e^3)/7 + (39*B*b^10*d^11*e^2)/7 + (3575*A*a*b^9*d^9*e^4)/7 + (1430*B*a*b^9*d^10*e^3)/7 + (390*B*a^9*b*d^2*e^11)/7 + (57915*A*a^2*b^8*d^8*e^5)/14 + (102960*A*a^3*b^7*d^7*e^6)/7 + 25740*A*a^4*b^6*d^6*e^7 + 23166*A*a^5*b^5*d^5*e^8 + 10725*A*a^6*b^4*d^4*e^9 + (17160*A*a^7*b^3*d^3*e^10)/7 + (1755*A*a^8*b^2*d^2*e^11)/7 + (32175*B*a^2*b^8*d^9*e^4)/14 + (77220*B*a^3*b^7*d^8*e^5)/7 + 25740*B*a^4*b^6*d^7*e^6 + 30888*B*a^5*b^5*d^6*e^7 + 19305*B*a^6*b^4*d^5*e^8 + (42900*B*a^7*b^3*d^4*e^9)/7 + (6435*B*a^8*b^2*d^3*e^10)/7 + (65*A*a^9*b*d*e^12)/7) + x^10*(A*a*b^9*d^13 + (9*B*a^2*b^8*d^13)/2 + (143*A*a^10*d^4*e^9)/2 + (1287*B*a^10*d^5*e^8)/10 + (117*A*a^2*b^8*d^12*e)/2 + 1287*A*a^9*b*d^5*e^8 + 156*B*a^3*b^7*d^12*e + 1716*B*a^9*b*d^6*e^7 + 936*A*a^3*b^7*d^11*e^2 + 6006*A*a^4*b^6*d^10*e^3 + 18018*A*a^5*b^5*d^9*e^4 + 27027*A*a^6*b^4*d^8*e^5 + 20592*A*a^7*b^3*d^7*e^6 + 7722*A*a^8*b^2*d^6*e^7 + 1638*B*a^4*b^6*d^11*e^2 + (36036*B*a^5*b^5*d^10*e^3)/5 + 15015*B*a^6*b^4*d^9*e^4 + 15444*B*a^7*b^3*d^8*e^5 + 7722*B*a^8*b^2*d^7*e^6) + x^16*((5*B*a^9*b*e^13)/8 + (45*A*a^8*b^2*e^13)/16 + (1287*A*b^10*d^8*e^5)/16 + (715*B*b^10*d^9*e^4)/16 + (2145*A*a*b^9*d^7*e^6)/2 + (195*A*a^7*b^3*d*e^12)/2 + (6435*B*a*b^9*d^8*e^5)/8 + (585*B*a^8*b^2*d*e^12)/16 + (19305*A*a^2*b^8*d^6*e^7)/4 + (19305*A*a^3*b^7*d^5*e^8)/2 + (75075*A*a^4*b^6*d^4*e^9)/8 + (9009*A*a^5*b^5*d^3*e^10)/2 + (4095*A*a^6*b^4*d^2*e^11)/4 + (19305*B*a^2*b^8*d^7*e^6)/4 + 12870*B*a^3*b^7*d^6*e^7 + (135135*B*a^4*b^6*d^5*e^8)/8 + (45045*B*a^5*b^5*d^4*e^9)/4 + (15015*B*a^6*b^4*d^3*e^10)/4 + 585*B*a^7*b^3*d^2*e^11) + x^6*(42*A*a^5*b^5*d^13 + 35*B*a^6*b^4*d^13 + (429*A*a^10*d^8*e^5)/2 + (715*B*a^10*d^9*e^4)/6 + 455*A*a^6*b^4*d^12*e + (3575*A*a^9*b*d^9*e^4)/3 + 260*B*a^7*b^3*d^12*e + (1430*B*a^9*b*d^10*e^3)/3 + 1560*A*a^7*b^3*d^11*e^2 + 2145*A*a^8*b^2*d^10*e^3 + 585*B*a^8*b^2*d^11*e^2) + x^9*(5*A*a^2*b^8*d^13 + (40*B*a^3*b^7*d^13)/3 + 143*A*a^10*d^5*e^8 + (572*B*a^10*d^6*e^7)/3 + (520*A*a^3*b^7*d^12*e)/3 + (5720*A*a^9*b*d^6*e^7)/3 + (910*B*a^4*b^6*d^12*e)/3 + (5720*B*a^9*b*d^7*e^6)/3 + 1820*A*a^4*b^6*d^11*e^2 + 8008*A*a^5*b^5*d^10*e^3 + (50050*A*a^6*b^4*d^9*e^4)/3 + 17160*A*a^7*b^3*d^8*e^5 + 8580*A*a^8*b^2*d^7*e^6 + 2184*B*a^5*b^5*d^11*e^2 + (20020*B*a^6*b^4*d^10*e^3)/3 + (28600*B*a^7*b^3*d^9*e^4)/3 + 6435*B*a^8*b^2*d^8*e^5) + x^20*((21*A*a^4*b^6*e^13)/2 + (63*B*a^5*b^5*e^13)/5 + (143*A*b^10*d^4*e^9)/4 + (1287*B*b^10*d^5*e^8)/20 + 143*A*a*b^9*d^3*e^10 + 78*A*a^3*b^7*d*e^12 + (715*B*a*b^9*d^4*e^9)/2 + (273*B*a^4*b^6*d*e^12)/2 + (351*A*a^2*b^8*d^2*e^11)/2 + (1287*B*a^2*b^8*d^3*e^10)/2 + 468*B*a^3*b^7*d^2*e^11) + x^17*((120*A*a^7*b^3*e^13)/17 + (45*B*a^8*b^2*e^13)/17 + (1716*A*b^10*d^7*e^6)/17 + (1287*B*b^10*d^8*e^5)/17 + (17160*A*a*b^9*d^6*e^7)/17 + (2730*A*a^6*b^4*d*e^12)/17 + (17160*B*a*b^9*d^7*e^6)/17 + (1560*B*a^7*b^3*d*e^12)/17 + (57915*A*a^2*b^8*d^5*e^8)/17 + (85800*A*a^3*b^7*d^4*e^9)/17 + (60060*A*a^4*b^6*d^3*e^10)/17 + (19656*A*a^5*b^5*d^2*e^11)/17 + (77220*B*a^2*b^8*d^6*e^7)/17 + (154440*B*a^3*b^7*d^5*e^8)/17 + (150150*B*a^4*b^6*d^4*e^9)/17 + (72072*B*a^5*b^5*d^3*e^10)/17 + (16380*B*a^6*b^4*d^2*e^11)/17) + x^11*((A*b^10*d^13)/11 + (10*B*a*b^9*d^13)/11 + 26*A*a^10*d^3*e^10 + 65*B*a^10*d^4*e^9 + 650*A*a^9*b*d^4*e^9 + (585*B*a^2*b^8*d^12*e)/11 + 1170*B*a^9*b*d^5*e^8 + (3510*A*a^2*b^8*d^11*e^2)/11 + 3120*A*a^3*b^7*d^10*e^3 + 13650*A*a^4*b^6*d^9*e^4 + 29484*A*a^5*b^5*d^8*e^5 + 32760*A*a^6*b^4*d^7*e^6 + 18720*A*a^7*b^3*d^6*e^7 + 5265*A*a^8*b^2*d^5*e^8 + (9360*B*a^3*b^7*d^11*e^2)/11 + 5460*B*a^4*b^6*d^10*e^3 + 16380*B*a^5*b^5*d^9*e^4 + 24570*B*a^6*b^4*d^8*e^5 + 18720*B*a^7*b^3*d^7*e^6 + 7020*B*a^8*b^2*d^6*e^7 + (130*A*a*b^9*d^12*e)/11) + x^15*((B*a^10*e^13)/15 + (2*A*a^9*b*e^13)/3 + (143*A*b^10*d^9*e^4)/3 + (286*B*b^10*d^10*e^3)/15 + 858*A*a*b^9*d^8*e^5 + 39*A*a^8*b^2*d*e^12 + (1430*B*a*b^9*d^9*e^4)/3 + 5148*A*a^2*b^8*d^7*e^6 + 13728*A*a^3*b^7*d^6*e^7 + 18018*A*a^4*b^6*d^5*e^8 + 12012*A*a^5*b^5*d^4*e^9 + 4004*A*a^6*b^4*d^3*e^10 + 624*A*a^7*b^3*d^2*e^11 + 3861*B*a^2*b^8*d^8*e^5 + 13728*B*a^3*b^7*d^7*e^6 + 24024*B*a^4*b^6*d^6*e^7 + (108108*B*a^5*b^5*d^5*e^8)/5 + 10010*B*a^6*b^4*d^4*e^9 + 2288*B*a^7*b^3*d^3*e^10 + 234*B*a^8*b^2*d^2*e^11 + (26*B*a^9*b*d*e^12)/3) + x^4*(30*A*a^7*b^3*d^13 + (45*B*a^8*b^2*d^13)/4 + (143*A*a^10*d^10*e^3)/2 + (39*B*a^10*d^11*e^2)/2 + (585*A*a^8*b^2*d^12*e)/4 + 195*A*a^9*b*d^11*e^2 + (65*B*a^9*b*d^12*e)/2) + x^7*(30*A*a^4*b^6*d^13 + 36*B*a^5*b^5*d^13 + (1716*A*a^10*d^7*e^6)/7 + (1287*B*a^10*d^8*e^5)/7 + 468*A*a^5*b^5*d^12*e + (12870*A*a^9*b*d^8*e^5)/7 + 390*B*a^6*b^4*d^12*e + (7150*B*a^9*b*d^9*e^4)/7 + 2340*A*a^6*b^4*d^11*e^2 + (34320*A*a^7*b^3*d^10*e^3)/7 + (32175*A*a^8*b^2*d^9*e^4)/7 + (9360*B*a^7*b^3*d^11*e^2)/7 + (12870*B*a^8*b^2*d^10*e^3)/7) + x^22*((45*A*a^2*b^8*e^13)/22 + (60*B*a^3*b^7*e^13)/11 + (39*A*b^10*d^2*e^11)/11 + 13*B*b^10*d^3*e^10 + (390*B*a*b^9*d^2*e^11)/11 + (585*B*a^2*b^8*d*e^12)/22 + (65*A*a*b^9*d*e^12)/11) + x^19*((252*A*a^5*b^5*e^13)/19 + (210*B*a^6*b^4*e^13)/19 + (1287*A*b^10*d^5*e^8)/19 + (1716*B*b^10*d^6*e^7)/19 + (7150*A*a*b^9*d^4*e^9)/19 + (2730*A*a^4*b^6*d*e^12)/19 + (12870*B*a*b^9*d^5*e^8)/19 + (3276*B*a^5*b^5*d*e^12)/19 + (12870*A*a^2*b^8*d^3*e^10)/19 + (9360*A*a^3*b^7*d^2*e^11)/19 + (32175*B*a^2*b^8*d^4*e^9)/19 + (34320*B*a^3*b^7*d^3*e^10)/19 + (16380*B*a^4*b^6*d^2*e^11)/19) + (a^9*d^12*x^2*(13*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^12*x^24*(A*b*e + 10*B*a*e + 13*B*b*d))/24 + A*a^10*d^13*x + (a^8*d^11*x^3*(78*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 13*B*a^2*d*e + 130*A*a*b*d*e))/3 + (b^8*e^11*x^23*(45*B*a^2*e^2 + 78*B*b^2*d^2 + 10*A*a*b*e^2 + 13*A*b^2*d*e + 130*B*a*b*d*e))/23 + (B*b^10*e^13*x^25)/25","B"
1076,1,3891,464,2.461743,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^12,x)","x^5\,\left(44\,B\,a^{10}\,d^9\,e^3+99\,A\,a^{10}\,d^8\,e^4+132\,B\,a^9\,b\,d^{10}\,e^2+440\,A\,a^9\,b\,d^9\,e^3+108\,B\,a^8\,b^2\,d^{11}\,e+594\,A\,a^8\,b^2\,d^{10}\,e^2+24\,B\,a^7\,b^3\,d^{12}+288\,A\,a^7\,b^3\,d^{11}\,e+42\,A\,a^6\,b^4\,d^{12}\right)+x^8\,\left(\frac{231\,B\,a^{10}\,d^6\,e^6}{2}+99\,A\,a^{10}\,d^5\,e^7+990\,B\,a^9\,b\,d^7\,e^5+1155\,A\,a^9\,b\,d^6\,e^6+\frac{22275\,B\,a^8\,b^2\,d^8\,e^4}{8}+4455\,A\,a^8\,b^2\,d^7\,e^5+3300\,B\,a^7\,b^3\,d^9\,e^3+7425\,A\,a^7\,b^3\,d^8\,e^4+\frac{3465\,B\,a^6\,b^4\,d^{10}\,e^2}{2}+5775\,A\,a^6\,b^4\,d^9\,e^3+378\,B\,a^5\,b^5\,d^{11}\,e+2079\,A\,a^5\,b^5\,d^{10}\,e^2+\frac{105\,B\,a^4\,b^6\,d^{12}}{4}+315\,A\,a^4\,b^6\,d^{11}\,e+15\,A\,a^3\,b^7\,d^{12}\right)+x^{20}\,\left(\frac{21\,B\,a^4\,b^6\,e^{12}}{2}+72\,B\,a^3\,b^7\,d\,e^{11}+6\,A\,a^3\,b^7\,e^{12}+\frac{297\,B\,a^2\,b^8\,d^2\,e^{10}}{2}+27\,A\,a^2\,b^8\,d\,e^{11}+110\,B\,a\,b^9\,d^3\,e^9+33\,A\,a\,b^9\,d^2\,e^{10}+\frac{99\,B\,b^{10}\,d^4\,e^8}{4}+11\,A\,b^{10}\,d^3\,e^9\right)+x^{17}\,\left(\frac{120\,B\,a^7\,b^3\,e^{12}}{17}+\frac{2520\,B\,a^6\,b^4\,d\,e^{11}}{17}+\frac{210\,A\,a^6\,b^4\,e^{12}}{17}+\frac{16632\,B\,a^5\,b^5\,d^2\,e^{10}}{17}+\frac{3024\,A\,a^5\,b^5\,d\,e^{11}}{17}+\frac{46200\,B\,a^4\,b^6\,d^3\,e^9}{17}+\frac{13860\,A\,a^4\,b^6\,d^2\,e^{10}}{17}+\frac{59400\,B\,a^3\,b^7\,d^4\,e^8}{17}+\frac{26400\,A\,a^3\,b^7\,d^3\,e^9}{17}+\frac{35640\,B\,a^2\,b^8\,d^5\,e^7}{17}+\frac{22275\,A\,a^2\,b^8\,d^4\,e^8}{17}+\frac{9240\,B\,a\,b^9\,d^6\,e^6}{17}+\frac{7920\,A\,a\,b^9\,d^5\,e^7}{17}+\frac{792\,B\,b^{10}\,d^7\,e^5}{17}+\frac{924\,A\,b^{10}\,d^6\,e^6}{17}\right)+x^{10}\,\left(\frac{99\,B\,a^{10}\,d^4\,e^8}{2}+22\,A\,a^{10}\,d^3\,e^9+792\,B\,a^9\,b\,d^5\,e^7+495\,A\,a^9\,b\,d^4\,e^8+4158\,B\,a^8\,b^2\,d^6\,e^6+3564\,A\,a^8\,b^2\,d^5\,e^7+9504\,B\,a^7\,b^3\,d^7\,e^5+11088\,A\,a^7\,b^3\,d^6\,e^6+10395\,B\,a^6\,b^4\,d^8\,e^4+16632\,A\,a^6\,b^4\,d^7\,e^5+5544\,B\,a^5\,b^5\,d^9\,e^3+12474\,A\,a^5\,b^5\,d^8\,e^4+1386\,B\,a^4\,b^6\,d^{10}\,e^2+4620\,A\,a^4\,b^6\,d^9\,e^3+144\,B\,a^3\,b^7\,d^{11}\,e+792\,A\,a^3\,b^7\,d^{10}\,e^2+\frac{9\,B\,a^2\,b^8\,d^{12}}{2}+54\,A\,a^2\,b^8\,d^{11}\,e+A\,a\,b^9\,d^{12}\right)+x^{15}\,\left(\frac{2\,B\,a^9\,b\,e^{12}}{3}+36\,B\,a^8\,b^2\,d\,e^{11}+3\,A\,a^8\,b^2\,e^{12}+528\,B\,a^7\,b^3\,d^2\,e^{10}+96\,A\,a^7\,b^3\,d\,e^{11}+3080\,B\,a^6\,b^4\,d^3\,e^9+924\,A\,a^6\,b^4\,d^2\,e^{10}+8316\,B\,a^5\,b^5\,d^4\,e^8+3696\,A\,a^5\,b^5\,d^3\,e^9+11088\,B\,a^4\,b^6\,d^5\,e^7+6930\,A\,a^4\,b^6\,d^4\,e^8+7392\,B\,a^3\,b^7\,d^6\,e^6+6336\,A\,a^3\,b^7\,d^5\,e^7+2376\,B\,a^2\,b^8\,d^7\,e^5+2772\,A\,a^2\,b^8\,d^6\,e^6+330\,B\,a\,b^9\,d^8\,e^4+528\,A\,a\,b^9\,d^7\,e^5+\frac{44\,B\,b^{10}\,d^9\,e^3}{3}+33\,A\,b^{10}\,d^8\,e^4\right)+x^6\,\left(\frac{165\,B\,a^{10}\,d^8\,e^4}{2}+132\,A\,a^{10}\,d^7\,e^5+\frac{1100\,B\,a^9\,b\,d^9\,e^3}{3}+825\,A\,a^9\,b\,d^8\,e^4+495\,B\,a^8\,b^2\,d^{10}\,e^2+1650\,A\,a^8\,b^2\,d^9\,e^3+240\,B\,a^7\,b^3\,d^{11}\,e+1320\,A\,a^7\,b^3\,d^{10}\,e^2+35\,B\,a^6\,b^4\,d^{12}+420\,A\,a^6\,b^4\,d^{11}\,e+42\,A\,a^5\,b^5\,d^{12}\right)+x^9\,\left(88\,B\,a^{10}\,d^5\,e^7+55\,A\,a^{10}\,d^4\,e^8+\frac{3080\,B\,a^9\,b\,d^6\,e^6}{3}+880\,A\,a^9\,b\,d^5\,e^7+3960\,B\,a^8\,b^2\,d^7\,e^5+4620\,A\,a^8\,b^2\,d^6\,e^6+6600\,B\,a^7\,b^3\,d^8\,e^4+10560\,A\,a^7\,b^3\,d^7\,e^5+\frac{15400\,B\,a^6\,b^4\,d^9\,e^3}{3}+11550\,A\,a^6\,b^4\,d^8\,e^4+1848\,B\,a^5\,b^5\,d^{10}\,e^2+6160\,A\,a^5\,b^5\,d^9\,e^3+280\,B\,a^4\,b^6\,d^{11}\,e+1540\,A\,a^4\,b^6\,d^{10}\,e^2+\frac{40\,B\,a^3\,b^7\,d^{12}}{3}+160\,A\,a^3\,b^7\,d^{11}\,e+5\,A\,a^2\,b^8\,d^{12}\right)+x^{19}\,\left(\frac{252\,B\,a^5\,b^5\,e^{12}}{19}+\frac{2520\,B\,a^4\,b^6\,d\,e^{11}}{19}+\frac{210\,A\,a^4\,b^6\,e^{12}}{19}+\frac{7920\,B\,a^3\,b^7\,d^2\,e^{10}}{19}+\frac{1440\,A\,a^3\,b^7\,d\,e^{11}}{19}+\frac{9900\,B\,a^2\,b^8\,d^3\,e^9}{19}+\frac{2970\,A\,a^2\,b^8\,d^2\,e^{10}}{19}+\frac{4950\,B\,a\,b^9\,d^4\,e^8}{19}+\frac{2200\,A\,a\,b^9\,d^3\,e^9}{19}+\frac{792\,B\,b^{10}\,d^5\,e^7}{19}+\frac{495\,A\,b^{10}\,d^4\,e^8}{19}\right)+x^{16}\,\left(\frac{45\,B\,a^8\,b^2\,e^{12}}{16}+90\,B\,a^7\,b^3\,d\,e^{11}+\frac{15\,A\,a^7\,b^3\,e^{12}}{2}+\frac{3465\,B\,a^6\,b^4\,d^2\,e^{10}}{4}+\frac{315\,A\,a^6\,b^4\,d\,e^{11}}{2}+3465\,B\,a^5\,b^5\,d^3\,e^9+\frac{2079\,A\,a^5\,b^5\,d^2\,e^{10}}{2}+\frac{51975\,B\,a^4\,b^6\,d^4\,e^8}{8}+\frac{5775\,A\,a^4\,b^6\,d^3\,e^9}{2}+5940\,B\,a^3\,b^7\,d^5\,e^7+\frac{7425\,A\,a^3\,b^7\,d^4\,e^8}{2}+\frac{10395\,B\,a^2\,b^8\,d^6\,e^6}{4}+\frac{4455\,A\,a^2\,b^8\,d^5\,e^7}{2}+495\,B\,a\,b^9\,d^7\,e^5+\frac{1155\,A\,a\,b^9\,d^6\,e^6}{2}+\frac{495\,B\,b^{10}\,d^8\,e^4}{16}+\frac{99\,A\,b^{10}\,d^7\,e^5}{2}\right)+x^{11}\,\left(20\,B\,a^{10}\,d^3\,e^9+6\,A\,a^{10}\,d^2\,e^{10}+450\,B\,a^9\,b\,d^4\,e^8+200\,A\,a^9\,b\,d^3\,e^9+3240\,B\,a^8\,b^2\,d^5\,e^7+2025\,A\,a^8\,b^2\,d^4\,e^8+10080\,B\,a^7\,b^3\,d^6\,e^6+8640\,A\,a^7\,b^3\,d^5\,e^7+15120\,B\,a^6\,b^4\,d^7\,e^5+17640\,A\,a^6\,b^4\,d^6\,e^6+11340\,B\,a^5\,b^5\,d^8\,e^4+18144\,A\,a^5\,b^5\,d^7\,e^5+4200\,B\,a^4\,b^6\,d^9\,e^3+9450\,A\,a^4\,b^6\,d^8\,e^4+720\,B\,a^3\,b^7\,d^{10}\,e^2+2400\,A\,a^3\,b^7\,d^9\,e^3+\frac{540\,B\,a^2\,b^8\,d^{11}\,e}{11}+270\,A\,a^2\,b^8\,d^{10}\,e^2+\frac{10\,B\,a\,b^9\,d^{12}}{11}+\frac{120\,A\,a\,b^9\,d^{11}\,e}{11}+\frac{A\,b^{10}\,d^{12}}{11}\right)+x^{14}\,\left(\frac{B\,a^{10}\,e^{12}}{14}+\frac{60\,B\,a^9\,b\,d\,e^{11}}{7}+\frac{5\,A\,a^9\,b\,e^{12}}{7}+\frac{1485\,B\,a^8\,b^2\,d^2\,e^{10}}{7}+\frac{270\,A\,a^8\,b^2\,d\,e^{11}}{7}+\frac{13200\,B\,a^7\,b^3\,d^3\,e^9}{7}+\frac{3960\,A\,a^7\,b^3\,d^2\,e^{10}}{7}+7425\,B\,a^6\,b^4\,d^4\,e^8+3300\,A\,a^6\,b^4\,d^3\,e^9+14256\,B\,a^5\,b^5\,d^5\,e^7+8910\,A\,a^5\,b^5\,d^4\,e^8+13860\,B\,a^4\,b^6\,d^6\,e^6+11880\,A\,a^4\,b^6\,d^5\,e^7+\frac{47520\,B\,a^3\,b^7\,d^7\,e^5}{7}+7920\,A\,a^3\,b^7\,d^6\,e^6+\frac{22275\,B\,a^2\,b^8\,d^8\,e^4}{14}+\frac{17820\,A\,a^2\,b^8\,d^7\,e^5}{7}+\frac{1100\,B\,a\,b^9\,d^9\,e^3}{7}+\frac{2475\,A\,a\,b^9\,d^8\,e^4}{7}+\frac{33\,B\,b^{10}\,d^{10}\,e^2}{7}+\frac{110\,A\,b^{10}\,d^9\,e^3}{7}\right)+x^4\,\left(\frac{33\,B\,a^{10}\,d^{10}\,e^2}{2}+55\,A\,a^{10}\,d^9\,e^3+30\,B\,a^9\,b\,d^{11}\,e+165\,A\,a^9\,b\,d^{10}\,e^2+\frac{45\,B\,a^8\,b^2\,d^{12}}{4}+135\,A\,a^8\,b^2\,d^{11}\,e+30\,A\,a^7\,b^3\,d^{12}\right)+x^7\,\left(\frac{792\,B\,a^{10}\,d^7\,e^5}{7}+132\,A\,a^{10}\,d^6\,e^6+\frac{4950\,B\,a^9\,b\,d^8\,e^4}{7}+\frac{7920\,A\,a^9\,b\,d^7\,e^5}{7}+\frac{9900\,B\,a^8\,b^2\,d^9\,e^3}{7}+\frac{22275\,A\,a^8\,b^2\,d^8\,e^4}{7}+\frac{7920\,B\,a^7\,b^3\,d^{10}\,e^2}{7}+\frac{26400\,A\,a^7\,b^3\,d^9\,e^3}{7}+360\,B\,a^6\,b^4\,d^{11}\,e+1980\,A\,a^6\,b^4\,d^{10}\,e^2+36\,B\,a^5\,b^5\,d^{12}+432\,A\,a^5\,b^5\,d^{11}\,e+30\,A\,a^4\,b^6\,d^{12}\right)+x^{21}\,\left(\frac{40\,B\,a^3\,b^7\,e^{12}}{7}+\frac{180\,B\,a^2\,b^8\,d\,e^{11}}{7}+\frac{15\,A\,a^2\,b^8\,e^{12}}{7}+\frac{220\,B\,a\,b^9\,d^2\,e^{10}}{7}+\frac{40\,A\,a\,b^9\,d\,e^{11}}{7}+\frac{220\,B\,b^{10}\,d^3\,e^9}{21}+\frac{22\,A\,b^{10}\,d^2\,e^{10}}{7}\right)+x^{18}\,\left(\frac{35\,B\,a^6\,b^4\,e^{12}}{3}+168\,B\,a^5\,b^5\,d\,e^{11}+14\,A\,a^5\,b^5\,e^{12}+770\,B\,a^4\,b^6\,d^2\,e^{10}+140\,A\,a^4\,b^6\,d\,e^{11}+\frac{4400\,B\,a^3\,b^7\,d^3\,e^9}{3}+440\,A\,a^3\,b^7\,d^2\,e^{10}+\frac{2475\,B\,a^2\,b^8\,d^4\,e^8}{2}+550\,A\,a^2\,b^8\,d^3\,e^9+440\,B\,a\,b^9\,d^5\,e^7+275\,A\,a\,b^9\,d^4\,e^8+\frac{154\,B\,b^{10}\,d^6\,e^6}{3}+44\,A\,b^{10}\,d^5\,e^7\right)+x^{12}\,\left(\frac{11\,B\,a^{10}\,d^2\,e^{10}}{2}+A\,a^{10}\,d\,e^{11}+\frac{550\,B\,a^9\,b\,d^3\,e^9}{3}+55\,A\,a^9\,b\,d^2\,e^{10}+\frac{7425\,B\,a^8\,b^2\,d^4\,e^8}{4}+825\,A\,a^8\,b^2\,d^3\,e^9+7920\,B\,a^7\,b^3\,d^5\,e^7+4950\,A\,a^7\,b^3\,d^4\,e^8+16170\,B\,a^6\,b^4\,d^6\,e^6+13860\,A\,a^6\,b^4\,d^5\,e^7+16632\,B\,a^5\,b^5\,d^7\,e^5+19404\,A\,a^5\,b^5\,d^6\,e^6+\frac{17325\,B\,a^4\,b^6\,d^8\,e^4}{2}+13860\,A\,a^4\,b^6\,d^7\,e^5+2200\,B\,a^3\,b^7\,d^9\,e^3+4950\,A\,a^3\,b^7\,d^8\,e^4+\frac{495\,B\,a^2\,b^8\,d^{10}\,e^2}{2}+825\,A\,a^2\,b^8\,d^9\,e^3+10\,B\,a\,b^9\,d^{11}\,e+55\,A\,a\,b^9\,d^{10}\,e^2+\frac{B\,b^{10}\,d^{12}}{12}+A\,b^{10}\,d^{11}\,e\right)+x^{13}\,\left(\frac{12\,B\,a^{10}\,d\,e^{11}}{13}+\frac{A\,a^{10}\,e^{12}}{13}+\frac{660\,B\,a^9\,b\,d^2\,e^{10}}{13}+\frac{120\,A\,a^9\,b\,d\,e^{11}}{13}+\frac{9900\,B\,a^8\,b^2\,d^3\,e^9}{13}+\frac{2970\,A\,a^8\,b^2\,d^2\,e^{10}}{13}+\frac{59400\,B\,a^7\,b^3\,d^4\,e^8}{13}+\frac{26400\,A\,a^7\,b^3\,d^3\,e^9}{13}+\frac{166320\,B\,a^6\,b^4\,d^5\,e^7}{13}+\frac{103950\,A\,a^6\,b^4\,d^4\,e^8}{13}+\frac{232848\,B\,a^5\,b^5\,d^6\,e^6}{13}+\frac{199584\,A\,a^5\,b^5\,d^5\,e^7}{13}+\frac{166320\,B\,a^4\,b^6\,d^7\,e^5}{13}+\frac{194040\,A\,a^4\,b^6\,d^6\,e^6}{13}+\frac{59400\,B\,a^3\,b^7\,d^8\,e^4}{13}+\frac{95040\,A\,a^3\,b^7\,d^7\,e^5}{13}+\frac{9900\,B\,a^2\,b^8\,d^9\,e^3}{13}+\frac{22275\,A\,a^2\,b^8\,d^8\,e^4}{13}+\frac{660\,B\,a\,b^9\,d^{10}\,e^2}{13}+\frac{2200\,A\,a\,b^9\,d^9\,e^3}{13}+\frac{12\,B\,b^{10}\,d^{11}\,e}{13}+\frac{66\,A\,b^{10}\,d^{10}\,e^2}{13}\right)+\frac{a^9\,d^{11}\,x^2\,\left(12\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^{11}\,x^{23}\,\left(A\,b\,e+10\,B\,a\,e+12\,B\,b\,d\right)}{23}+A\,a^{10}\,d^{12}\,x+\frac{a^8\,d^{10}\,x^3\,\left(12\,B\,a^2\,d\,e+66\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+120\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^{10}\,x^{22}\,\left(45\,B\,a^2\,e^2+120\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+66\,B\,b^2\,d^2+12\,A\,b^2\,d\,e\right)}{22}+\frac{B\,b^{10}\,e^{12}\,x^{24}}{24}","Not used",1,"x^5*(42*A*a^6*b^4*d^12 + 24*B*a^7*b^3*d^12 + 99*A*a^10*d^8*e^4 + 44*B*a^10*d^9*e^3 + 288*A*a^7*b^3*d^11*e + 440*A*a^9*b*d^9*e^3 + 108*B*a^8*b^2*d^11*e + 132*B*a^9*b*d^10*e^2 + 594*A*a^8*b^2*d^10*e^2) + x^8*(15*A*a^3*b^7*d^12 + (105*B*a^4*b^6*d^12)/4 + 99*A*a^10*d^5*e^7 + (231*B*a^10*d^6*e^6)/2 + 315*A*a^4*b^6*d^11*e + 1155*A*a^9*b*d^6*e^6 + 378*B*a^5*b^5*d^11*e + 990*B*a^9*b*d^7*e^5 + 2079*A*a^5*b^5*d^10*e^2 + 5775*A*a^6*b^4*d^9*e^3 + 7425*A*a^7*b^3*d^8*e^4 + 4455*A*a^8*b^2*d^7*e^5 + (3465*B*a^6*b^4*d^10*e^2)/2 + 3300*B*a^7*b^3*d^9*e^3 + (22275*B*a^8*b^2*d^8*e^4)/8) + x^20*(6*A*a^3*b^7*e^12 + (21*B*a^4*b^6*e^12)/2 + 11*A*b^10*d^3*e^9 + (99*B*b^10*d^4*e^8)/4 + 33*A*a*b^9*d^2*e^10 + 27*A*a^2*b^8*d*e^11 + 110*B*a*b^9*d^3*e^9 + 72*B*a^3*b^7*d*e^11 + (297*B*a^2*b^8*d^2*e^10)/2) + x^17*((210*A*a^6*b^4*e^12)/17 + (120*B*a^7*b^3*e^12)/17 + (924*A*b^10*d^6*e^6)/17 + (792*B*b^10*d^7*e^5)/17 + (7920*A*a*b^9*d^5*e^7)/17 + (3024*A*a^5*b^5*d*e^11)/17 + (9240*B*a*b^9*d^6*e^6)/17 + (2520*B*a^6*b^4*d*e^11)/17 + (22275*A*a^2*b^8*d^4*e^8)/17 + (26400*A*a^3*b^7*d^3*e^9)/17 + (13860*A*a^4*b^6*d^2*e^10)/17 + (35640*B*a^2*b^8*d^5*e^7)/17 + (59400*B*a^3*b^7*d^4*e^8)/17 + (46200*B*a^4*b^6*d^3*e^9)/17 + (16632*B*a^5*b^5*d^2*e^10)/17) + x^10*(A*a*b^9*d^12 + (9*B*a^2*b^8*d^12)/2 + 22*A*a^10*d^3*e^9 + (99*B*a^10*d^4*e^8)/2 + 54*A*a^2*b^8*d^11*e + 495*A*a^9*b*d^4*e^8 + 144*B*a^3*b^7*d^11*e + 792*B*a^9*b*d^5*e^7 + 792*A*a^3*b^7*d^10*e^2 + 4620*A*a^4*b^6*d^9*e^3 + 12474*A*a^5*b^5*d^8*e^4 + 16632*A*a^6*b^4*d^7*e^5 + 11088*A*a^7*b^3*d^6*e^6 + 3564*A*a^8*b^2*d^5*e^7 + 1386*B*a^4*b^6*d^10*e^2 + 5544*B*a^5*b^5*d^9*e^3 + 10395*B*a^6*b^4*d^8*e^4 + 9504*B*a^7*b^3*d^7*e^5 + 4158*B*a^8*b^2*d^6*e^6) + x^15*((2*B*a^9*b*e^12)/3 + 3*A*a^8*b^2*e^12 + 33*A*b^10*d^8*e^4 + (44*B*b^10*d^9*e^3)/3 + 528*A*a*b^9*d^7*e^5 + 96*A*a^7*b^3*d*e^11 + 330*B*a*b^9*d^8*e^4 + 36*B*a^8*b^2*d*e^11 + 2772*A*a^2*b^8*d^6*e^6 + 6336*A*a^3*b^7*d^5*e^7 + 6930*A*a^4*b^6*d^4*e^8 + 3696*A*a^5*b^5*d^3*e^9 + 924*A*a^6*b^4*d^2*e^10 + 2376*B*a^2*b^8*d^7*e^5 + 7392*B*a^3*b^7*d^6*e^6 + 11088*B*a^4*b^6*d^5*e^7 + 8316*B*a^5*b^5*d^4*e^8 + 3080*B*a^6*b^4*d^3*e^9 + 528*B*a^7*b^3*d^2*e^10) + x^6*(42*A*a^5*b^5*d^12 + 35*B*a^6*b^4*d^12 + 132*A*a^10*d^7*e^5 + (165*B*a^10*d^8*e^4)/2 + 420*A*a^6*b^4*d^11*e + 825*A*a^9*b*d^8*e^4 + 240*B*a^7*b^3*d^11*e + (1100*B*a^9*b*d^9*e^3)/3 + 1320*A*a^7*b^3*d^10*e^2 + 1650*A*a^8*b^2*d^9*e^3 + 495*B*a^8*b^2*d^10*e^2) + x^9*(5*A*a^2*b^8*d^12 + (40*B*a^3*b^7*d^12)/3 + 55*A*a^10*d^4*e^8 + 88*B*a^10*d^5*e^7 + 160*A*a^3*b^7*d^11*e + 880*A*a^9*b*d^5*e^7 + 280*B*a^4*b^6*d^11*e + (3080*B*a^9*b*d^6*e^6)/3 + 1540*A*a^4*b^6*d^10*e^2 + 6160*A*a^5*b^5*d^9*e^3 + 11550*A*a^6*b^4*d^8*e^4 + 10560*A*a^7*b^3*d^7*e^5 + 4620*A*a^8*b^2*d^6*e^6 + 1848*B*a^5*b^5*d^10*e^2 + (15400*B*a^6*b^4*d^9*e^3)/3 + 6600*B*a^7*b^3*d^8*e^4 + 3960*B*a^8*b^2*d^7*e^5) + x^19*((210*A*a^4*b^6*e^12)/19 + (252*B*a^5*b^5*e^12)/19 + (495*A*b^10*d^4*e^8)/19 + (792*B*b^10*d^5*e^7)/19 + (2200*A*a*b^9*d^3*e^9)/19 + (1440*A*a^3*b^7*d*e^11)/19 + (4950*B*a*b^9*d^4*e^8)/19 + (2520*B*a^4*b^6*d*e^11)/19 + (2970*A*a^2*b^8*d^2*e^10)/19 + (9900*B*a^2*b^8*d^3*e^9)/19 + (7920*B*a^3*b^7*d^2*e^10)/19) + x^16*((15*A*a^7*b^3*e^12)/2 + (45*B*a^8*b^2*e^12)/16 + (99*A*b^10*d^7*e^5)/2 + (495*B*b^10*d^8*e^4)/16 + (1155*A*a*b^9*d^6*e^6)/2 + (315*A*a^6*b^4*d*e^11)/2 + 495*B*a*b^9*d^7*e^5 + 90*B*a^7*b^3*d*e^11 + (4455*A*a^2*b^8*d^5*e^7)/2 + (7425*A*a^3*b^7*d^4*e^8)/2 + (5775*A*a^4*b^6*d^3*e^9)/2 + (2079*A*a^5*b^5*d^2*e^10)/2 + (10395*B*a^2*b^8*d^6*e^6)/4 + 5940*B*a^3*b^7*d^5*e^7 + (51975*B*a^4*b^6*d^4*e^8)/8 + 3465*B*a^5*b^5*d^3*e^9 + (3465*B*a^6*b^4*d^2*e^10)/4) + x^11*((A*b^10*d^12)/11 + (10*B*a*b^9*d^12)/11 + 6*A*a^10*d^2*e^10 + 20*B*a^10*d^3*e^9 + 200*A*a^9*b*d^3*e^9 + (540*B*a^2*b^8*d^11*e)/11 + 450*B*a^9*b*d^4*e^8 + 270*A*a^2*b^8*d^10*e^2 + 2400*A*a^3*b^7*d^9*e^3 + 9450*A*a^4*b^6*d^8*e^4 + 18144*A*a^5*b^5*d^7*e^5 + 17640*A*a^6*b^4*d^6*e^6 + 8640*A*a^7*b^3*d^5*e^7 + 2025*A*a^8*b^2*d^4*e^8 + 720*B*a^3*b^7*d^10*e^2 + 4200*B*a^4*b^6*d^9*e^3 + 11340*B*a^5*b^5*d^8*e^4 + 15120*B*a^6*b^4*d^7*e^5 + 10080*B*a^7*b^3*d^6*e^6 + 3240*B*a^8*b^2*d^5*e^7 + (120*A*a*b^9*d^11*e)/11) + x^14*((B*a^10*e^12)/14 + (5*A*a^9*b*e^12)/7 + (110*A*b^10*d^9*e^3)/7 + (33*B*b^10*d^10*e^2)/7 + (2475*A*a*b^9*d^8*e^4)/7 + (270*A*a^8*b^2*d*e^11)/7 + (1100*B*a*b^9*d^9*e^3)/7 + (17820*A*a^2*b^8*d^7*e^5)/7 + 7920*A*a^3*b^7*d^6*e^6 + 11880*A*a^4*b^6*d^5*e^7 + 8910*A*a^5*b^5*d^4*e^8 + 3300*A*a^6*b^4*d^3*e^9 + (3960*A*a^7*b^3*d^2*e^10)/7 + (22275*B*a^2*b^8*d^8*e^4)/14 + (47520*B*a^3*b^7*d^7*e^5)/7 + 13860*B*a^4*b^6*d^6*e^6 + 14256*B*a^5*b^5*d^5*e^7 + 7425*B*a^6*b^4*d^4*e^8 + (13200*B*a^7*b^3*d^3*e^9)/7 + (1485*B*a^8*b^2*d^2*e^10)/7 + (60*B*a^9*b*d*e^11)/7) + x^4*(30*A*a^7*b^3*d^12 + (45*B*a^8*b^2*d^12)/4 + 55*A*a^10*d^9*e^3 + (33*B*a^10*d^10*e^2)/2 + 135*A*a^8*b^2*d^11*e + 165*A*a^9*b*d^10*e^2 + 30*B*a^9*b*d^11*e) + x^7*(30*A*a^4*b^6*d^12 + 36*B*a^5*b^5*d^12 + 132*A*a^10*d^6*e^6 + (792*B*a^10*d^7*e^5)/7 + 432*A*a^5*b^5*d^11*e + (7920*A*a^9*b*d^7*e^5)/7 + 360*B*a^6*b^4*d^11*e + (4950*B*a^9*b*d^8*e^4)/7 + 1980*A*a^6*b^4*d^10*e^2 + (26400*A*a^7*b^3*d^9*e^3)/7 + (22275*A*a^8*b^2*d^8*e^4)/7 + (7920*B*a^7*b^3*d^10*e^2)/7 + (9900*B*a^8*b^2*d^9*e^3)/7) + x^21*((15*A*a^2*b^8*e^12)/7 + (40*B*a^3*b^7*e^12)/7 + (22*A*b^10*d^2*e^10)/7 + (220*B*b^10*d^3*e^9)/21 + (220*B*a*b^9*d^2*e^10)/7 + (180*B*a^2*b^8*d*e^11)/7 + (40*A*a*b^9*d*e^11)/7) + x^18*(14*A*a^5*b^5*e^12 + (35*B*a^6*b^4*e^12)/3 + 44*A*b^10*d^5*e^7 + (154*B*b^10*d^6*e^6)/3 + 275*A*a*b^9*d^4*e^8 + 140*A*a^4*b^6*d*e^11 + 440*B*a*b^9*d^5*e^7 + 168*B*a^5*b^5*d*e^11 + 550*A*a^2*b^8*d^3*e^9 + 440*A*a^3*b^7*d^2*e^10 + (2475*B*a^2*b^8*d^4*e^8)/2 + (4400*B*a^3*b^7*d^3*e^9)/3 + 770*B*a^4*b^6*d^2*e^10) + x^12*((B*b^10*d^12)/12 + A*a^10*d*e^11 + A*b^10*d^11*e + (11*B*a^10*d^2*e^10)/2 + 55*A*a*b^9*d^10*e^2 + 55*A*a^9*b*d^2*e^10 + (550*B*a^9*b*d^3*e^9)/3 + 825*A*a^2*b^8*d^9*e^3 + 4950*A*a^3*b^7*d^8*e^4 + 13860*A*a^4*b^6*d^7*e^5 + 19404*A*a^5*b^5*d^6*e^6 + 13860*A*a^6*b^4*d^5*e^7 + 4950*A*a^7*b^3*d^4*e^8 + 825*A*a^8*b^2*d^3*e^9 + (495*B*a^2*b^8*d^10*e^2)/2 + 2200*B*a^3*b^7*d^9*e^3 + (17325*B*a^4*b^6*d^8*e^4)/2 + 16632*B*a^5*b^5*d^7*e^5 + 16170*B*a^6*b^4*d^6*e^6 + 7920*B*a^7*b^3*d^5*e^7 + (7425*B*a^8*b^2*d^4*e^8)/4 + 10*B*a*b^9*d^11*e) + x^13*((A*a^10*e^12)/13 + (12*B*a^10*d*e^11)/13 + (12*B*b^10*d^11*e)/13 + (66*A*b^10*d^10*e^2)/13 + (2200*A*a*b^9*d^9*e^3)/13 + (660*B*a*b^9*d^10*e^2)/13 + (660*B*a^9*b*d^2*e^10)/13 + (22275*A*a^2*b^8*d^8*e^4)/13 + (95040*A*a^3*b^7*d^7*e^5)/13 + (194040*A*a^4*b^6*d^6*e^6)/13 + (199584*A*a^5*b^5*d^5*e^7)/13 + (103950*A*a^6*b^4*d^4*e^8)/13 + (26400*A*a^7*b^3*d^3*e^9)/13 + (2970*A*a^8*b^2*d^2*e^10)/13 + (9900*B*a^2*b^8*d^9*e^3)/13 + (59400*B*a^3*b^7*d^8*e^4)/13 + (166320*B*a^4*b^6*d^7*e^5)/13 + (232848*B*a^5*b^5*d^6*e^6)/13 + (166320*B*a^6*b^4*d^5*e^7)/13 + (59400*B*a^7*b^3*d^4*e^8)/13 + (9900*B*a^8*b^2*d^3*e^9)/13 + (120*A*a^9*b*d*e^11)/13) + (a^9*d^11*x^2*(12*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^11*x^23*(A*b*e + 10*B*a*e + 12*B*b*d))/23 + A*a^10*d^12*x + (a^8*d^10*x^3*(66*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 12*B*a^2*d*e + 120*A*a*b*d*e))/3 + (b^8*e^10*x^22*(45*B*a^2*e^2 + 66*B*b^2*d^2 + 10*A*a*b*e^2 + 12*A*b^2*d*e + 120*B*a*b*d*e))/22 + (B*b^10*e^12*x^24)/24","B"
1077,1,3577,461,2.343088,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^11,x)","x^5\,\left(33\,B\,a^{10}\,d^8\,e^3+66\,A\,a^{10}\,d^7\,e^4+110\,B\,a^9\,b\,d^9\,e^2+330\,A\,a^9\,b\,d^8\,e^3+99\,B\,a^8\,b^2\,d^{10}\,e+495\,A\,a^8\,b^2\,d^9\,e^2+24\,B\,a^7\,b^3\,d^{11}+264\,A\,a^7\,b^3\,d^{10}\,e+42\,A\,a^6\,b^4\,d^{11}\right)+x^8\,\left(\frac{231\,B\,a^{10}\,d^5\,e^6}{4}+\frac{165\,A\,a^{10}\,d^4\,e^7}{4}+\frac{1155\,B\,a^9\,b\,d^6\,e^5}{2}+\frac{1155\,A\,a^9\,b\,d^5\,e^6}{2}+\frac{7425\,B\,a^8\,b^2\,d^7\,e^4}{4}+\frac{10395\,A\,a^8\,b^2\,d^6\,e^5}{4}+2475\,B\,a^7\,b^3\,d^8\,e^3+4950\,A\,a^7\,b^3\,d^7\,e^4+\frac{5775\,B\,a^6\,b^4\,d^9\,e^2}{4}+\frac{17325\,A\,a^6\,b^4\,d^8\,e^3}{4}+\frac{693\,B\,a^5\,b^5\,d^{10}\,e}{2}+\frac{3465\,A\,a^5\,b^5\,d^9\,e^2}{2}+\frac{105\,B\,a^4\,b^6\,d^{11}}{4}+\frac{1155\,A\,a^4\,b^6\,d^{10}\,e}{4}+15\,A\,a^3\,b^7\,d^{11}\right)+x^{19}\,\left(\frac{210\,B\,a^4\,b^6\,e^{11}}{19}+\frac{1320\,B\,a^3\,b^7\,d\,e^{10}}{19}+\frac{120\,A\,a^3\,b^7\,e^{11}}{19}+\frac{2475\,B\,a^2\,b^8\,d^2\,e^9}{19}+\frac{495\,A\,a^2\,b^8\,d\,e^{10}}{19}+\frac{1650\,B\,a\,b^9\,d^3\,e^8}{19}+\frac{550\,A\,a\,b^9\,d^2\,e^9}{19}+\frac{330\,B\,b^{10}\,d^4\,e^7}{19}+\frac{165\,A\,b^{10}\,d^3\,e^8}{19}\right)+x^{16}\,\left(\frac{15\,B\,a^7\,b^3\,e^{11}}{2}+\frac{1155\,B\,a^6\,b^4\,d\,e^{10}}{8}+\frac{105\,A\,a^6\,b^4\,e^{11}}{8}+\frac{3465\,B\,a^5\,b^5\,d^2\,e^9}{4}+\frac{693\,A\,a^5\,b^5\,d\,e^{10}}{4}+\frac{17325\,B\,a^4\,b^6\,d^3\,e^8}{8}+\frac{5775\,A\,a^4\,b^6\,d^2\,e^9}{8}+2475\,B\,a^3\,b^7\,d^4\,e^7+\frac{2475\,A\,a^3\,b^7\,d^3\,e^8}{2}+\frac{10395\,B\,a^2\,b^8\,d^5\,e^6}{8}+\frac{7425\,A\,a^2\,b^8\,d^4\,e^7}{8}+\frac{1155\,B\,a\,b^9\,d^6\,e^5}{4}+\frac{1155\,A\,a\,b^9\,d^5\,e^6}{4}+\frac{165\,B\,b^{10}\,d^7\,e^4}{8}+\frac{231\,A\,b^{10}\,d^6\,e^5}{8}\right)+x^{11}\,\left(5\,B\,a^{10}\,d^2\,e^9+A\,a^{10}\,d\,e^{10}+150\,B\,a^9\,b\,d^3\,e^8+50\,A\,a^9\,b\,d^2\,e^9+1350\,B\,a^8\,b^2\,d^4\,e^7+675\,A\,a^8\,b^2\,d^3\,e^8+5040\,B\,a^7\,b^3\,d^5\,e^6+3600\,A\,a^7\,b^3\,d^4\,e^7+8820\,B\,a^6\,b^4\,d^6\,e^5+8820\,A\,a^6\,b^4\,d^5\,e^6+7560\,B\,a^5\,b^5\,d^7\,e^4+10584\,A\,a^5\,b^5\,d^6\,e^5+3150\,B\,a^4\,b^6\,d^8\,e^3+6300\,A\,a^4\,b^6\,d^7\,e^4+600\,B\,a^3\,b^7\,d^9\,e^2+1800\,A\,a^3\,b^7\,d^8\,e^3+45\,B\,a^2\,b^8\,d^{10}\,e+225\,A\,a^2\,b^8\,d^9\,e^2+\frac{10\,B\,a\,b^9\,d^{11}}{11}+10\,A\,a\,b^9\,d^{10}\,e+\frac{A\,b^{10}\,d^{11}}{11}\right)+x^{13}\,\left(\frac{B\,a^{10}\,e^{11}}{13}+\frac{110\,B\,a^9\,b\,d\,e^{10}}{13}+\frac{10\,A\,a^9\,b\,e^{11}}{13}+\frac{2475\,B\,a^8\,b^2\,d^2\,e^9}{13}+\frac{495\,A\,a^8\,b^2\,d\,e^{10}}{13}+\frac{19800\,B\,a^7\,b^3\,d^3\,e^8}{13}+\frac{6600\,A\,a^7\,b^3\,d^2\,e^9}{13}+\frac{69300\,B\,a^6\,b^4\,d^4\,e^7}{13}+\frac{34650\,A\,a^6\,b^4\,d^3\,e^8}{13}+\frac{116424\,B\,a^5\,b^5\,d^5\,e^6}{13}+\frac{83160\,A\,a^5\,b^5\,d^4\,e^7}{13}+\frac{97020\,B\,a^4\,b^6\,d^6\,e^5}{13}+\frac{97020\,A\,a^4\,b^6\,d^5\,e^6}{13}+\frac{39600\,B\,a^3\,b^7\,d^7\,e^4}{13}+\frac{55440\,A\,a^3\,b^7\,d^6\,e^5}{13}+\frac{7425\,B\,a^2\,b^8\,d^8\,e^3}{13}+\frac{14850\,A\,a^2\,b^8\,d^7\,e^4}{13}+\frac{550\,B\,a\,b^9\,d^9\,e^2}{13}+\frac{1650\,A\,a\,b^9\,d^8\,e^3}{13}+\frac{11\,B\,b^{10}\,d^{10}\,e}{13}+\frac{55\,A\,b^{10}\,d^9\,e^2}{13}\right)+x^{10}\,\left(\frac{33\,B\,a^{10}\,d^3\,e^8}{2}+\frac{11\,A\,a^{10}\,d^2\,e^9}{2}+330\,B\,a^9\,b\,d^4\,e^7+165\,A\,a^9\,b\,d^3\,e^8+2079\,B\,a^8\,b^2\,d^5\,e^6+1485\,A\,a^8\,b^2\,d^4\,e^7+5544\,B\,a^7\,b^3\,d^6\,e^5+5544\,A\,a^7\,b^3\,d^5\,e^6+6930\,B\,a^6\,b^4\,d^7\,e^4+9702\,A\,a^6\,b^4\,d^6\,e^5+4158\,B\,a^5\,b^5\,d^8\,e^3+8316\,A\,a^5\,b^5\,d^7\,e^4+1155\,B\,a^4\,b^6\,d^9\,e^2+3465\,A\,a^4\,b^6\,d^8\,e^3+132\,B\,a^3\,b^7\,d^{10}\,e+660\,A\,a^3\,b^7\,d^9\,e^2+\frac{9\,B\,a^2\,b^8\,d^{11}}{2}+\frac{99\,A\,a^2\,b^8\,d^{10}\,e}{2}+A\,a\,b^9\,d^{11}\right)+x^{14}\,\left(\frac{5\,B\,a^9\,b\,e^{11}}{7}+\frac{495\,B\,a^8\,b^2\,d\,e^{10}}{14}+\frac{45\,A\,a^8\,b^2\,e^{11}}{14}+\frac{3300\,B\,a^7\,b^3\,d^2\,e^9}{7}+\frac{660\,A\,a^7\,b^3\,d\,e^{10}}{7}+2475\,B\,a^6\,b^4\,d^3\,e^8+825\,A\,a^6\,b^4\,d^2\,e^9+5940\,B\,a^5\,b^5\,d^4\,e^7+2970\,A\,a^5\,b^5\,d^3\,e^8+6930\,B\,a^4\,b^6\,d^5\,e^6+4950\,A\,a^4\,b^6\,d^4\,e^7+3960\,B\,a^3\,b^7\,d^6\,e^5+3960\,A\,a^3\,b^7\,d^5\,e^6+\frac{7425\,B\,a^2\,b^8\,d^7\,e^4}{7}+1485\,A\,a^2\,b^8\,d^6\,e^5+\frac{825\,B\,a\,b^9\,d^8\,e^3}{7}+\frac{1650\,A\,a\,b^9\,d^7\,e^4}{7}+\frac{55\,B\,b^{10}\,d^9\,e^2}{14}+\frac{165\,A\,b^{10}\,d^8\,e^3}{14}\right)+x^6\,\left(55\,B\,a^{10}\,d^7\,e^4+77\,A\,a^{10}\,d^6\,e^5+275\,B\,a^9\,b\,d^8\,e^3+550\,A\,a^9\,b\,d^7\,e^4+\frac{825\,B\,a^8\,b^2\,d^9\,e^2}{2}+\frac{2475\,A\,a^8\,b^2\,d^8\,e^3}{2}+220\,B\,a^7\,b^3\,d^{10}\,e+1100\,A\,a^7\,b^3\,d^9\,e^2+35\,B\,a^6\,b^4\,d^{11}+385\,A\,a^6\,b^4\,d^{10}\,e+42\,A\,a^5\,b^5\,d^{11}\right)+x^9\,\left(\frac{110\,B\,a^{10}\,d^4\,e^7}{3}+\frac{55\,A\,a^{10}\,d^3\,e^8}{3}+\frac{1540\,B\,a^9\,b\,d^5\,e^6}{3}+\frac{1100\,A\,a^9\,b\,d^4\,e^7}{3}+2310\,B\,a^8\,b^2\,d^6\,e^5+2310\,A\,a^8\,b^2\,d^5\,e^6+4400\,B\,a^7\,b^3\,d^7\,e^4+6160\,A\,a^7\,b^3\,d^6\,e^5+3850\,B\,a^6\,b^4\,d^8\,e^3+7700\,A\,a^6\,b^4\,d^7\,e^4+1540\,B\,a^5\,b^5\,d^9\,e^2+4620\,A\,a^5\,b^5\,d^8\,e^3+\frac{770\,B\,a^4\,b^6\,d^{10}\,e}{3}+\frac{3850\,A\,a^4\,b^6\,d^9\,e^2}{3}+\frac{40\,B\,a^3\,b^7\,d^{11}}{3}+\frac{440\,A\,a^3\,b^7\,d^{10}\,e}{3}+5\,A\,a^2\,b^8\,d^{11}\right)+x^{18}\,\left(14\,B\,a^5\,b^5\,e^{11}+\frac{385\,B\,a^4\,b^6\,d\,e^{10}}{3}+\frac{35\,A\,a^4\,b^6\,e^{11}}{3}+\frac{1100\,B\,a^3\,b^7\,d^2\,e^9}{3}+\frac{220\,A\,a^3\,b^7\,d\,e^{10}}{3}+\frac{825\,B\,a^2\,b^8\,d^3\,e^8}{2}+\frac{275\,A\,a^2\,b^8\,d^2\,e^9}{2}+\frac{550\,B\,a\,b^9\,d^4\,e^7}{3}+\frac{275\,A\,a\,b^9\,d^3\,e^8}{3}+\frac{77\,B\,b^{10}\,d^5\,e^6}{3}+\frac{55\,A\,b^{10}\,d^4\,e^7}{3}\right)+x^{15}\,\left(3\,B\,a^8\,b^2\,e^{11}+88\,B\,a^7\,b^3\,d\,e^{10}+8\,A\,a^7\,b^3\,e^{11}+770\,B\,a^6\,b^4\,d^2\,e^9+154\,A\,a^6\,b^4\,d\,e^{10}+2772\,B\,a^5\,b^5\,d^3\,e^8+924\,A\,a^5\,b^5\,d^2\,e^9+4620\,B\,a^4\,b^6\,d^4\,e^7+2310\,A\,a^4\,b^6\,d^3\,e^8+3696\,B\,a^3\,b^7\,d^5\,e^6+2640\,A\,a^3\,b^7\,d^4\,e^7+1386\,B\,a^2\,b^8\,d^6\,e^5+1386\,A\,a^2\,b^8\,d^5\,e^6+220\,B\,a\,b^9\,d^7\,e^4+308\,A\,a\,b^9\,d^6\,e^5+11\,B\,b^{10}\,d^8\,e^3+22\,A\,b^{10}\,d^7\,e^4\right)+x^4\,\left(\frac{55\,B\,a^{10}\,d^9\,e^2}{4}+\frac{165\,A\,a^{10}\,d^8\,e^3}{4}+\frac{55\,B\,a^9\,b\,d^{10}\,e}{2}+\frac{275\,A\,a^9\,b\,d^9\,e^2}{2}+\frac{45\,B\,a^8\,b^2\,d^{11}}{4}+\frac{495\,A\,a^8\,b^2\,d^{10}\,e}{4}+30\,A\,a^7\,b^3\,d^{11}\right)+x^7\,\left(66\,B\,a^{10}\,d^6\,e^5+66\,A\,a^{10}\,d^5\,e^6+\frac{3300\,B\,a^9\,b\,d^7\,e^4}{7}+660\,A\,a^9\,b\,d^6\,e^5+\frac{7425\,B\,a^8\,b^2\,d^8\,e^3}{7}+\frac{14850\,A\,a^8\,b^2\,d^7\,e^4}{7}+\frac{6600\,B\,a^7\,b^3\,d^9\,e^2}{7}+\frac{19800\,A\,a^7\,b^3\,d^8\,e^3}{7}+330\,B\,a^6\,b^4\,d^{10}\,e+1650\,A\,a^6\,b^4\,d^9\,e^2+36\,B\,a^5\,b^5\,d^{11}+396\,A\,a^5\,b^5\,d^{10}\,e+30\,A\,a^4\,b^6\,d^{11}\right)+x^{12}\,\left(\frac{11\,B\,a^{10}\,d\,e^{10}}{12}+\frac{A\,a^{10}\,e^{11}}{12}+\frac{275\,B\,a^9\,b\,d^2\,e^9}{6}+\frac{55\,A\,a^9\,b\,d\,e^{10}}{6}+\frac{2475\,B\,a^8\,b^2\,d^3\,e^8}{4}+\frac{825\,A\,a^8\,b^2\,d^2\,e^9}{4}+3300\,B\,a^7\,b^3\,d^4\,e^7+1650\,A\,a^7\,b^3\,d^3\,e^8+8085\,B\,a^6\,b^4\,d^5\,e^6+5775\,A\,a^6\,b^4\,d^4\,e^7+9702\,B\,a^5\,b^5\,d^6\,e^5+9702\,A\,a^5\,b^5\,d^5\,e^6+5775\,B\,a^4\,b^6\,d^7\,e^4+8085\,A\,a^4\,b^6\,d^6\,e^5+1650\,B\,a^3\,b^7\,d^8\,e^3+3300\,A\,a^3\,b^7\,d^7\,e^4+\frac{825\,B\,a^2\,b^8\,d^9\,e^2}{4}+\frac{2475\,A\,a^2\,b^8\,d^8\,e^3}{4}+\frac{55\,B\,a\,b^9\,d^{10}\,e}{6}+\frac{275\,A\,a\,b^9\,d^9\,e^2}{6}+\frac{B\,b^{10}\,d^{11}}{12}+\frac{11\,A\,b^{10}\,d^{10}\,e}{12}\right)+x^{20}\,\left(6\,B\,a^3\,b^7\,e^{11}+\frac{99\,B\,a^2\,b^8\,d\,e^{10}}{4}+\frac{9\,A\,a^2\,b^8\,e^{11}}{4}+\frac{55\,B\,a\,b^9\,d^2\,e^9}{2}+\frac{11\,A\,a\,b^9\,d\,e^{10}}{2}+\frac{33\,B\,b^{10}\,d^3\,e^8}{4}+\frac{11\,A\,b^{10}\,d^2\,e^9}{4}\right)+x^{17}\,\left(\frac{210\,B\,a^6\,b^4\,e^{11}}{17}+\frac{2772\,B\,a^5\,b^5\,d\,e^{10}}{17}+\frac{252\,A\,a^5\,b^5\,e^{11}}{17}+\frac{11550\,B\,a^4\,b^6\,d^2\,e^9}{17}+\frac{2310\,A\,a^4\,b^6\,d\,e^{10}}{17}+\frac{19800\,B\,a^3\,b^7\,d^3\,e^8}{17}+\frac{6600\,A\,a^3\,b^7\,d^2\,e^9}{17}+\frac{14850\,B\,a^2\,b^8\,d^4\,e^7}{17}+\frac{7425\,A\,a^2\,b^8\,d^3\,e^8}{17}+\frac{4620\,B\,a\,b^9\,d^5\,e^6}{17}+\frac{3300\,A\,a\,b^9\,d^4\,e^7}{17}+\frac{462\,B\,b^{10}\,d^6\,e^5}{17}+\frac{462\,A\,b^{10}\,d^5\,e^6}{17}\right)+\frac{a^9\,d^{10}\,x^2\,\left(11\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^{10}\,x^{22}\,\left(A\,b\,e+10\,B\,a\,e+11\,B\,b\,d\right)}{22}+A\,a^{10}\,d^{11}\,x+\frac{a^8\,d^9\,x^3\,\left(11\,B\,a^2\,d\,e+55\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+110\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^9\,x^{21}\,\left(45\,B\,a^2\,e^2+110\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+55\,B\,b^2\,d^2+11\,A\,b^2\,d\,e\right)}{21}+\frac{B\,b^{10}\,e^{11}\,x^{23}}{23}","Not used",1,"x^5*(42*A*a^6*b^4*d^11 + 24*B*a^7*b^3*d^11 + 66*A*a^10*d^7*e^4 + 33*B*a^10*d^8*e^3 + 264*A*a^7*b^3*d^10*e + 330*A*a^9*b*d^8*e^3 + 99*B*a^8*b^2*d^10*e + 110*B*a^9*b*d^9*e^2 + 495*A*a^8*b^2*d^9*e^2) + x^8*(15*A*a^3*b^7*d^11 + (105*B*a^4*b^6*d^11)/4 + (165*A*a^10*d^4*e^7)/4 + (231*B*a^10*d^5*e^6)/4 + (1155*A*a^4*b^6*d^10*e)/4 + (1155*A*a^9*b*d^5*e^6)/2 + (693*B*a^5*b^5*d^10*e)/2 + (1155*B*a^9*b*d^6*e^5)/2 + (3465*A*a^5*b^5*d^9*e^2)/2 + (17325*A*a^6*b^4*d^8*e^3)/4 + 4950*A*a^7*b^3*d^7*e^4 + (10395*A*a^8*b^2*d^6*e^5)/4 + (5775*B*a^6*b^4*d^9*e^2)/4 + 2475*B*a^7*b^3*d^8*e^3 + (7425*B*a^8*b^2*d^7*e^4)/4) + x^19*((120*A*a^3*b^7*e^11)/19 + (210*B*a^4*b^6*e^11)/19 + (165*A*b^10*d^3*e^8)/19 + (330*B*b^10*d^4*e^7)/19 + (550*A*a*b^9*d^2*e^9)/19 + (495*A*a^2*b^8*d*e^10)/19 + (1650*B*a*b^9*d^3*e^8)/19 + (1320*B*a^3*b^7*d*e^10)/19 + (2475*B*a^2*b^8*d^2*e^9)/19) + x^16*((105*A*a^6*b^4*e^11)/8 + (15*B*a^7*b^3*e^11)/2 + (231*A*b^10*d^6*e^5)/8 + (165*B*b^10*d^7*e^4)/8 + (1155*A*a*b^9*d^5*e^6)/4 + (693*A*a^5*b^5*d*e^10)/4 + (1155*B*a*b^9*d^6*e^5)/4 + (1155*B*a^6*b^4*d*e^10)/8 + (7425*A*a^2*b^8*d^4*e^7)/8 + (2475*A*a^3*b^7*d^3*e^8)/2 + (5775*A*a^4*b^6*d^2*e^9)/8 + (10395*B*a^2*b^8*d^5*e^6)/8 + 2475*B*a^3*b^7*d^4*e^7 + (17325*B*a^4*b^6*d^3*e^8)/8 + (3465*B*a^5*b^5*d^2*e^9)/4) + x^11*((A*b^10*d^11)/11 + (10*B*a*b^9*d^11)/11 + A*a^10*d*e^10 + 5*B*a^10*d^2*e^9 + 50*A*a^9*b*d^2*e^9 + 45*B*a^2*b^8*d^10*e + 150*B*a^9*b*d^3*e^8 + 225*A*a^2*b^8*d^9*e^2 + 1800*A*a^3*b^7*d^8*e^3 + 6300*A*a^4*b^6*d^7*e^4 + 10584*A*a^5*b^5*d^6*e^5 + 8820*A*a^6*b^4*d^5*e^6 + 3600*A*a^7*b^3*d^4*e^7 + 675*A*a^8*b^2*d^3*e^8 + 600*B*a^3*b^7*d^9*e^2 + 3150*B*a^4*b^6*d^8*e^3 + 7560*B*a^5*b^5*d^7*e^4 + 8820*B*a^6*b^4*d^6*e^5 + 5040*B*a^7*b^3*d^5*e^6 + 1350*B*a^8*b^2*d^4*e^7 + 10*A*a*b^9*d^10*e) + x^13*((B*a^10*e^11)/13 + (10*A*a^9*b*e^11)/13 + (11*B*b^10*d^10*e)/13 + (55*A*b^10*d^9*e^2)/13 + (1650*A*a*b^9*d^8*e^3)/13 + (495*A*a^8*b^2*d*e^10)/13 + (550*B*a*b^9*d^9*e^2)/13 + (14850*A*a^2*b^8*d^7*e^4)/13 + (55440*A*a^3*b^7*d^6*e^5)/13 + (97020*A*a^4*b^6*d^5*e^6)/13 + (83160*A*a^5*b^5*d^4*e^7)/13 + (34650*A*a^6*b^4*d^3*e^8)/13 + (6600*A*a^7*b^3*d^2*e^9)/13 + (7425*B*a^2*b^8*d^8*e^3)/13 + (39600*B*a^3*b^7*d^7*e^4)/13 + (97020*B*a^4*b^6*d^6*e^5)/13 + (116424*B*a^5*b^5*d^5*e^6)/13 + (69300*B*a^6*b^4*d^4*e^7)/13 + (19800*B*a^7*b^3*d^3*e^8)/13 + (2475*B*a^8*b^2*d^2*e^9)/13 + (110*B*a^9*b*d*e^10)/13) + x^10*(A*a*b^9*d^11 + (9*B*a^2*b^8*d^11)/2 + (11*A*a^10*d^2*e^9)/2 + (33*B*a^10*d^3*e^8)/2 + (99*A*a^2*b^8*d^10*e)/2 + 165*A*a^9*b*d^3*e^8 + 132*B*a^3*b^7*d^10*e + 330*B*a^9*b*d^4*e^7 + 660*A*a^3*b^7*d^9*e^2 + 3465*A*a^4*b^6*d^8*e^3 + 8316*A*a^5*b^5*d^7*e^4 + 9702*A*a^6*b^4*d^6*e^5 + 5544*A*a^7*b^3*d^5*e^6 + 1485*A*a^8*b^2*d^4*e^7 + 1155*B*a^4*b^6*d^9*e^2 + 4158*B*a^5*b^5*d^8*e^3 + 6930*B*a^6*b^4*d^7*e^4 + 5544*B*a^7*b^3*d^6*e^5 + 2079*B*a^8*b^2*d^5*e^6) + x^14*((5*B*a^9*b*e^11)/7 + (45*A*a^8*b^2*e^11)/14 + (165*A*b^10*d^8*e^3)/14 + (55*B*b^10*d^9*e^2)/14 + (1650*A*a*b^9*d^7*e^4)/7 + (660*A*a^7*b^3*d*e^10)/7 + (825*B*a*b^9*d^8*e^3)/7 + (495*B*a^8*b^2*d*e^10)/14 + 1485*A*a^2*b^8*d^6*e^5 + 3960*A*a^3*b^7*d^5*e^6 + 4950*A*a^4*b^6*d^4*e^7 + 2970*A*a^5*b^5*d^3*e^8 + 825*A*a^6*b^4*d^2*e^9 + (7425*B*a^2*b^8*d^7*e^4)/7 + 3960*B*a^3*b^7*d^6*e^5 + 6930*B*a^4*b^6*d^5*e^6 + 5940*B*a^5*b^5*d^4*e^7 + 2475*B*a^6*b^4*d^3*e^8 + (3300*B*a^7*b^3*d^2*e^9)/7) + x^6*(42*A*a^5*b^5*d^11 + 35*B*a^6*b^4*d^11 + 77*A*a^10*d^6*e^5 + 55*B*a^10*d^7*e^4 + 385*A*a^6*b^4*d^10*e + 550*A*a^9*b*d^7*e^4 + 220*B*a^7*b^3*d^10*e + 275*B*a^9*b*d^8*e^3 + 1100*A*a^7*b^3*d^9*e^2 + (2475*A*a^8*b^2*d^8*e^3)/2 + (825*B*a^8*b^2*d^9*e^2)/2) + x^9*(5*A*a^2*b^8*d^11 + (40*B*a^3*b^7*d^11)/3 + (55*A*a^10*d^3*e^8)/3 + (110*B*a^10*d^4*e^7)/3 + (440*A*a^3*b^7*d^10*e)/3 + (1100*A*a^9*b*d^4*e^7)/3 + (770*B*a^4*b^6*d^10*e)/3 + (1540*B*a^9*b*d^5*e^6)/3 + (3850*A*a^4*b^6*d^9*e^2)/3 + 4620*A*a^5*b^5*d^8*e^3 + 7700*A*a^6*b^4*d^7*e^4 + 6160*A*a^7*b^3*d^6*e^5 + 2310*A*a^8*b^2*d^5*e^6 + 1540*B*a^5*b^5*d^9*e^2 + 3850*B*a^6*b^4*d^8*e^3 + 4400*B*a^7*b^3*d^7*e^4 + 2310*B*a^8*b^2*d^6*e^5) + x^18*((35*A*a^4*b^6*e^11)/3 + 14*B*a^5*b^5*e^11 + (55*A*b^10*d^4*e^7)/3 + (77*B*b^10*d^5*e^6)/3 + (275*A*a*b^9*d^3*e^8)/3 + (220*A*a^3*b^7*d*e^10)/3 + (550*B*a*b^9*d^4*e^7)/3 + (385*B*a^4*b^6*d*e^10)/3 + (275*A*a^2*b^8*d^2*e^9)/2 + (825*B*a^2*b^8*d^3*e^8)/2 + (1100*B*a^3*b^7*d^2*e^9)/3) + x^15*(8*A*a^7*b^3*e^11 + 3*B*a^8*b^2*e^11 + 22*A*b^10*d^7*e^4 + 11*B*b^10*d^8*e^3 + 308*A*a*b^9*d^6*e^5 + 154*A*a^6*b^4*d*e^10 + 220*B*a*b^9*d^7*e^4 + 88*B*a^7*b^3*d*e^10 + 1386*A*a^2*b^8*d^5*e^6 + 2640*A*a^3*b^7*d^4*e^7 + 2310*A*a^4*b^6*d^3*e^8 + 924*A*a^5*b^5*d^2*e^9 + 1386*B*a^2*b^8*d^6*e^5 + 3696*B*a^3*b^7*d^5*e^6 + 4620*B*a^4*b^6*d^4*e^7 + 2772*B*a^5*b^5*d^3*e^8 + 770*B*a^6*b^4*d^2*e^9) + x^4*(30*A*a^7*b^3*d^11 + (45*B*a^8*b^2*d^11)/4 + (165*A*a^10*d^8*e^3)/4 + (55*B*a^10*d^9*e^2)/4 + (495*A*a^8*b^2*d^10*e)/4 + (275*A*a^9*b*d^9*e^2)/2 + (55*B*a^9*b*d^10*e)/2) + x^7*(30*A*a^4*b^6*d^11 + 36*B*a^5*b^5*d^11 + 66*A*a^10*d^5*e^6 + 66*B*a^10*d^6*e^5 + 396*A*a^5*b^5*d^10*e + 660*A*a^9*b*d^6*e^5 + 330*B*a^6*b^4*d^10*e + (3300*B*a^9*b*d^7*e^4)/7 + 1650*A*a^6*b^4*d^9*e^2 + (19800*A*a^7*b^3*d^8*e^3)/7 + (14850*A*a^8*b^2*d^7*e^4)/7 + (6600*B*a^7*b^3*d^9*e^2)/7 + (7425*B*a^8*b^2*d^8*e^3)/7) + x^12*((A*a^10*e^11)/12 + (B*b^10*d^11)/12 + (11*A*b^10*d^10*e)/12 + (11*B*a^10*d*e^10)/12 + (275*A*a*b^9*d^9*e^2)/6 + (275*B*a^9*b*d^2*e^9)/6 + (2475*A*a^2*b^8*d^8*e^3)/4 + 3300*A*a^3*b^7*d^7*e^4 + 8085*A*a^4*b^6*d^6*e^5 + 9702*A*a^5*b^5*d^5*e^6 + 5775*A*a^6*b^4*d^4*e^7 + 1650*A*a^7*b^3*d^3*e^8 + (825*A*a^8*b^2*d^2*e^9)/4 + (825*B*a^2*b^8*d^9*e^2)/4 + 1650*B*a^3*b^7*d^8*e^3 + 5775*B*a^4*b^6*d^7*e^4 + 9702*B*a^5*b^5*d^6*e^5 + 8085*B*a^6*b^4*d^5*e^6 + 3300*B*a^7*b^3*d^4*e^7 + (2475*B*a^8*b^2*d^3*e^8)/4 + (55*A*a^9*b*d*e^10)/6 + (55*B*a*b^9*d^10*e)/6) + x^20*((9*A*a^2*b^8*e^11)/4 + 6*B*a^3*b^7*e^11 + (11*A*b^10*d^2*e^9)/4 + (33*B*b^10*d^3*e^8)/4 + (55*B*a*b^9*d^2*e^9)/2 + (99*B*a^2*b^8*d*e^10)/4 + (11*A*a*b^9*d*e^10)/2) + x^17*((252*A*a^5*b^5*e^11)/17 + (210*B*a^6*b^4*e^11)/17 + (462*A*b^10*d^5*e^6)/17 + (462*B*b^10*d^6*e^5)/17 + (3300*A*a*b^9*d^4*e^7)/17 + (2310*A*a^4*b^6*d*e^10)/17 + (4620*B*a*b^9*d^5*e^6)/17 + (2772*B*a^5*b^5*d*e^10)/17 + (7425*A*a^2*b^8*d^3*e^8)/17 + (6600*A*a^3*b^7*d^2*e^9)/17 + (14850*B*a^2*b^8*d^4*e^7)/17 + (19800*B*a^3*b^7*d^3*e^8)/17 + (11550*B*a^4*b^6*d^2*e^9)/17) + (a^9*d^10*x^2*(11*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^10*x^22*(A*b*e + 10*B*a*e + 11*B*b*d))/22 + A*a^10*d^11*x + (a^8*d^9*x^3*(55*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 11*B*a^2*d*e + 110*A*a*b*d*e))/3 + (b^8*e^9*x^21*(45*B*a^2*e^2 + 55*B*b^2*d^2 + 10*A*a*b*e^2 + 11*A*b^2*d*e + 110*B*a*b*d*e))/21 + (B*b^10*e^11*x^23)/23","B"
1078,1,3262,460,2.182424,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^10,x)","x^{11}\,\left(\frac{10\,B\,a^{10}\,d\,e^9}{11}+\frac{A\,a^{10}\,e^{10}}{11}+\frac{450\,B\,a^9\,b\,d^2\,e^8}{11}+\frac{100\,A\,a^9\,b\,d\,e^9}{11}+\frac{5400\,B\,a^8\,b^2\,d^3\,e^7}{11}+\frac{2025\,A\,a^8\,b^2\,d^2\,e^8}{11}+\frac{25200\,B\,a^7\,b^3\,d^4\,e^6}{11}+\frac{14400\,A\,a^7\,b^3\,d^3\,e^7}{11}+\frac{52920\,B\,a^6\,b^4\,d^5\,e^5}{11}+\frac{44100\,A\,a^6\,b^4\,d^4\,e^6}{11}+\frac{52920\,B\,a^5\,b^5\,d^6\,e^4}{11}+\frac{63504\,A\,a^5\,b^5\,d^5\,e^5}{11}+\frac{25200\,B\,a^4\,b^6\,d^7\,e^3}{11}+\frac{44100\,A\,a^4\,b^6\,d^6\,e^4}{11}+\frac{5400\,B\,a^3\,b^7\,d^8\,e^2}{11}+\frac{14400\,A\,a^3\,b^7\,d^7\,e^3}{11}+\frac{450\,B\,a^2\,b^8\,d^9\,e}{11}+\frac{2025\,A\,a^2\,b^8\,d^8\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^{10}}{11}+\frac{100\,A\,a\,b^9\,d^9\,e}{11}+\frac{A\,b^{10}\,d^{10}}{11}\right)+x^5\,\left(24\,B\,a^{10}\,d^7\,e^3+42\,A\,a^{10}\,d^6\,e^4+90\,B\,a^9\,b\,d^8\,e^2+240\,A\,a^9\,b\,d^7\,e^3+90\,B\,a^8\,b^2\,d^9\,e+405\,A\,a^8\,b^2\,d^8\,e^2+24\,B\,a^7\,b^3\,d^{10}+240\,A\,a^7\,b^3\,d^9\,e+42\,A\,a^6\,b^4\,d^{10}\right)+x^8\,\left(\frac{105\,B\,a^{10}\,d^4\,e^6}{4}+15\,A\,a^{10}\,d^3\,e^7+315\,B\,a^9\,b\,d^5\,e^5+\frac{525\,A\,a^9\,b\,d^4\,e^6}{2}+\frac{4725\,B\,a^8\,b^2\,d^6\,e^4}{4}+\frac{2835\,A\,a^8\,b^2\,d^5\,e^5}{2}+1800\,B\,a^7\,b^3\,d^7\,e^3+3150\,A\,a^7\,b^3\,d^6\,e^4+\frac{4725\,B\,a^6\,b^4\,d^8\,e^2}{4}+3150\,A\,a^6\,b^4\,d^7\,e^3+315\,B\,a^5\,b^5\,d^9\,e+\frac{2835\,A\,a^5\,b^5\,d^8\,e^2}{2}+\frac{105\,B\,a^4\,b^6\,d^{10}}{4}+\frac{525\,A\,a^4\,b^6\,d^9\,e}{2}+15\,A\,a^3\,b^7\,d^{10}\right)+x^{12}\,\left(\frac{B\,a^{10}\,e^{10}}{12}+\frac{25\,B\,a^9\,b\,d\,e^9}{3}+\frac{5\,A\,a^9\,b\,e^{10}}{6}+\frac{675\,B\,a^8\,b^2\,d^2\,e^8}{4}+\frac{75\,A\,a^8\,b^2\,d\,e^9}{2}+1200\,B\,a^7\,b^3\,d^3\,e^7+450\,A\,a^7\,b^3\,d^2\,e^8+3675\,B\,a^6\,b^4\,d^4\,e^6+2100\,A\,a^6\,b^4\,d^3\,e^7+5292\,B\,a^5\,b^5\,d^5\,e^5+4410\,A\,a^5\,b^5\,d^4\,e^6+3675\,B\,a^4\,b^6\,d^6\,e^4+4410\,A\,a^4\,b^6\,d^5\,e^5+1200\,B\,a^3\,b^7\,d^7\,e^3+2100\,A\,a^3\,b^7\,d^6\,e^4+\frac{675\,B\,a^2\,b^8\,d^8\,e^2}{4}+450\,A\,a^2\,b^8\,d^7\,e^3+\frac{25\,B\,a\,b^9\,d^9\,e}{3}+\frac{75\,A\,a\,b^9\,d^8\,e^2}{2}+\frac{B\,b^{10}\,d^{10}}{12}+\frac{5\,A\,b^{10}\,d^9\,e}{6}\right)+x^{18}\,\left(\frac{35\,B\,a^4\,b^6\,e^{10}}{3}+\frac{200\,B\,a^3\,b^7\,d\,e^9}{3}+\frac{20\,A\,a^3\,b^7\,e^{10}}{3}+\frac{225\,B\,a^2\,b^8\,d^2\,e^8}{2}+25\,A\,a^2\,b^8\,d\,e^9+\frac{200\,B\,a\,b^9\,d^3\,e^7}{3}+25\,A\,a\,b^9\,d^2\,e^8+\frac{35\,B\,b^{10}\,d^4\,e^6}{3}+\frac{20\,A\,b^{10}\,d^3\,e^7}{3}\right)+x^{15}\,\left(8\,B\,a^7\,b^3\,e^{10}+140\,B\,a^6\,b^4\,d\,e^9+14\,A\,a^6\,b^4\,e^{10}+756\,B\,a^5\,b^5\,d^2\,e^8+168\,A\,a^5\,b^5\,d\,e^9+1680\,B\,a^4\,b^6\,d^3\,e^7+630\,A\,a^4\,b^6\,d^2\,e^8+1680\,B\,a^3\,b^7\,d^4\,e^6+960\,A\,a^3\,b^7\,d^3\,e^7+756\,B\,a^2\,b^8\,d^5\,e^5+630\,A\,a^2\,b^8\,d^4\,e^6+140\,B\,a\,b^9\,d^6\,e^4+168\,A\,a\,b^9\,d^5\,e^5+8\,B\,b^{10}\,d^7\,e^3+14\,A\,b^{10}\,d^6\,e^4\right)+x^6\,\left(35\,B\,a^{10}\,d^6\,e^4+42\,A\,a^{10}\,d^5\,e^5+200\,B\,a^9\,b\,d^7\,e^3+350\,A\,a^9\,b\,d^6\,e^4+\frac{675\,B\,a^8\,b^2\,d^8\,e^2}{2}+900\,A\,a^8\,b^2\,d^7\,e^3+200\,B\,a^7\,b^3\,d^9\,e+900\,A\,a^7\,b^3\,d^8\,e^2+35\,B\,a^6\,b^4\,d^{10}+350\,A\,a^6\,b^4\,d^9\,e+42\,A\,a^5\,b^5\,d^{10}\right)+x^9\,\left(\frac{40\,B\,a^{10}\,d^3\,e^7}{3}+5\,A\,a^{10}\,d^2\,e^8+\frac{700\,B\,a^9\,b\,d^4\,e^6}{3}+\frac{400\,A\,a^9\,b\,d^3\,e^7}{3}+1260\,B\,a^8\,b^2\,d^5\,e^5+1050\,A\,a^8\,b^2\,d^4\,e^6+2800\,B\,a^7\,b^3\,d^6\,e^4+3360\,A\,a^7\,b^3\,d^5\,e^5+2800\,B\,a^6\,b^4\,d^7\,e^3+4900\,A\,a^6\,b^4\,d^6\,e^4+1260\,B\,a^5\,b^5\,d^8\,e^2+3360\,A\,a^5\,b^5\,d^7\,e^3+\frac{700\,B\,a^4\,b^6\,d^9\,e}{3}+1050\,A\,a^4\,b^6\,d^8\,e^2+\frac{40\,B\,a^3\,b^7\,d^{10}}{3}+\frac{400\,A\,a^3\,b^7\,d^9\,e}{3}+5\,A\,a^2\,b^8\,d^{10}\right)+x^{17}\,\left(\frac{252\,B\,a^5\,b^5\,e^{10}}{17}+\frac{2100\,B\,a^4\,b^6\,d\,e^9}{17}+\frac{210\,A\,a^4\,b^6\,e^{10}}{17}+\frac{5400\,B\,a^3\,b^7\,d^2\,e^8}{17}+\frac{1200\,A\,a^3\,b^7\,d\,e^9}{17}+\frac{5400\,B\,a^2\,b^8\,d^3\,e^7}{17}+\frac{2025\,A\,a^2\,b^8\,d^2\,e^8}{17}+\frac{2100\,B\,a\,b^9\,d^4\,e^6}{17}+\frac{1200\,A\,a\,b^9\,d^3\,e^7}{17}+\frac{252\,B\,b^{10}\,d^5\,e^5}{17}+\frac{210\,A\,b^{10}\,d^4\,e^6}{17}\right)+x^{14}\,\left(\frac{45\,B\,a^8\,b^2\,e^{10}}{14}+\frac{600\,B\,a^7\,b^3\,d\,e^9}{7}+\frac{60\,A\,a^7\,b^3\,e^{10}}{7}+675\,B\,a^6\,b^4\,d^2\,e^8+150\,A\,a^6\,b^4\,d\,e^9+2160\,B\,a^5\,b^5\,d^3\,e^7+810\,A\,a^5\,b^5\,d^2\,e^8+3150\,B\,a^4\,b^6\,d^4\,e^6+1800\,A\,a^4\,b^6\,d^3\,e^7+2160\,B\,a^3\,b^7\,d^5\,e^5+1800\,A\,a^3\,b^7\,d^4\,e^6+675\,B\,a^2\,b^8\,d^6\,e^4+810\,A\,a^2\,b^8\,d^5\,e^5+\frac{600\,B\,a\,b^9\,d^7\,e^3}{7}+150\,A\,a\,b^9\,d^6\,e^4+\frac{45\,B\,b^{10}\,d^8\,e^2}{14}+\frac{60\,A\,b^{10}\,d^7\,e^3}{7}\right)+x^4\,\left(\frac{45\,B\,a^{10}\,d^8\,e^2}{4}+30\,A\,a^{10}\,d^7\,e^3+25\,B\,a^9\,b\,d^9\,e+\frac{225\,A\,a^9\,b\,d^8\,e^2}{2}+\frac{45\,B\,a^8\,b^2\,d^{10}}{4}+\frac{225\,A\,a^8\,b^2\,d^9\,e}{2}+30\,A\,a^7\,b^3\,d^{10}\right)+x^7\,\left(36\,B\,a^{10}\,d^5\,e^5+30\,A\,a^{10}\,d^4\,e^6+300\,B\,a^9\,b\,d^6\,e^4+360\,A\,a^9\,b\,d^5\,e^5+\frac{5400\,B\,a^8\,b^2\,d^7\,e^3}{7}+1350\,A\,a^8\,b^2\,d^6\,e^4+\frac{5400\,B\,a^7\,b^3\,d^8\,e^2}{7}+\frac{14400\,A\,a^7\,b^3\,d^7\,e^3}{7}+300\,B\,a^6\,b^4\,d^9\,e+1350\,A\,a^6\,b^4\,d^8\,e^2+36\,B\,a^5\,b^5\,d^{10}+360\,A\,a^5\,b^5\,d^9\,e+30\,A\,a^4\,b^6\,d^{10}\right)+x^{19}\,\left(\frac{120\,B\,a^3\,b^7\,e^{10}}{19}+\frac{450\,B\,a^2\,b^8\,d\,e^9}{19}+\frac{45\,A\,a^2\,b^8\,e^{10}}{19}+\frac{450\,B\,a\,b^9\,d^2\,e^8}{19}+\frac{100\,A\,a\,b^9\,d\,e^9}{19}+\frac{120\,B\,b^{10}\,d^3\,e^7}{19}+\frac{45\,A\,b^{10}\,d^2\,e^8}{19}\right)+x^{16}\,\left(\frac{105\,B\,a^6\,b^4\,e^{10}}{8}+\frac{315\,B\,a^5\,b^5\,d\,e^9}{2}+\frac{63\,A\,a^5\,b^5\,e^{10}}{4}+\frac{4725\,B\,a^4\,b^6\,d^2\,e^8}{8}+\frac{525\,A\,a^4\,b^6\,d\,e^9}{4}+900\,B\,a^3\,b^7\,d^3\,e^7+\frac{675\,A\,a^3\,b^7\,d^2\,e^8}{2}+\frac{4725\,B\,a^2\,b^8\,d^4\,e^6}{8}+\frac{675\,A\,a^2\,b^8\,d^3\,e^7}{2}+\frac{315\,B\,a\,b^9\,d^5\,e^5}{2}+\frac{525\,A\,a\,b^9\,d^4\,e^6}{4}+\frac{105\,B\,b^{10}\,d^6\,e^4}{8}+\frac{63\,A\,b^{10}\,d^5\,e^5}{4}\right)+x^{10}\,\left(\frac{9\,B\,a^{10}\,d^2\,e^8}{2}+A\,a^{10}\,d\,e^9+120\,B\,a^9\,b\,d^3\,e^7+45\,A\,a^9\,b\,d^2\,e^8+945\,B\,a^8\,b^2\,d^4\,e^6+540\,A\,a^8\,b^2\,d^3\,e^7+3024\,B\,a^7\,b^3\,d^5\,e^5+2520\,A\,a^7\,b^3\,d^4\,e^6+4410\,B\,a^6\,b^4\,d^6\,e^4+5292\,A\,a^6\,b^4\,d^5\,e^5+3024\,B\,a^5\,b^5\,d^7\,e^3+5292\,A\,a^5\,b^5\,d^6\,e^4+945\,B\,a^4\,b^6\,d^8\,e^2+2520\,A\,a^4\,b^6\,d^7\,e^3+120\,B\,a^3\,b^7\,d^9\,e+540\,A\,a^3\,b^7\,d^8\,e^2+\frac{9\,B\,a^2\,b^8\,d^{10}}{2}+45\,A\,a^2\,b^8\,d^9\,e+A\,a\,b^9\,d^{10}\right)+x^{13}\,\left(\frac{10\,B\,a^9\,b\,e^{10}}{13}+\frac{450\,B\,a^8\,b^2\,d\,e^9}{13}+\frac{45\,A\,a^8\,b^2\,e^{10}}{13}+\frac{5400\,B\,a^7\,b^3\,d^2\,e^8}{13}+\frac{1200\,A\,a^7\,b^3\,d\,e^9}{13}+\frac{25200\,B\,a^6\,b^4\,d^3\,e^7}{13}+\frac{9450\,A\,a^6\,b^4\,d^2\,e^8}{13}+\frac{52920\,B\,a^5\,b^5\,d^4\,e^6}{13}+\frac{30240\,A\,a^5\,b^5\,d^3\,e^7}{13}+\frac{52920\,B\,a^4\,b^6\,d^5\,e^5}{13}+\frac{44100\,A\,a^4\,b^6\,d^4\,e^6}{13}+\frac{25200\,B\,a^3\,b^7\,d^6\,e^4}{13}+\frac{30240\,A\,a^3\,b^7\,d^5\,e^5}{13}+\frac{5400\,B\,a^2\,b^8\,d^7\,e^3}{13}+\frac{9450\,A\,a^2\,b^8\,d^6\,e^4}{13}+\frac{450\,B\,a\,b^9\,d^8\,e^2}{13}+\frac{1200\,A\,a\,b^9\,d^7\,e^3}{13}+\frac{10\,B\,b^{10}\,d^9\,e}{13}+\frac{45\,A\,b^{10}\,d^8\,e^2}{13}\right)+\frac{a^9\,d^9\,x^2\,\left(10\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^9\,x^{21}\,\left(A\,b\,e+10\,B\,a\,e+10\,B\,b\,d\right)}{21}+A\,a^{10}\,d^{10}\,x+\frac{5\,a^8\,d^8\,x^3\,\left(2\,B\,a^2\,d\,e+9\,A\,a^2\,e^2+2\,B\,a\,b\,d^2+20\,A\,a\,b\,d\,e+9\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^8\,x^{20}\,\left(9\,B\,a^2\,e^2+20\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+9\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{4}+\frac{B\,b^{10}\,e^{10}\,x^{22}}{22}","Not used",1,"x^11*((A*a^10*e^10)/11 + (A*b^10*d^10)/11 + (10*B*a*b^9*d^10)/11 + (10*B*a^10*d*e^9)/11 + (450*B*a^2*b^8*d^9*e)/11 + (450*B*a^9*b*d^2*e^8)/11 + (2025*A*a^2*b^8*d^8*e^2)/11 + (14400*A*a^3*b^7*d^7*e^3)/11 + (44100*A*a^4*b^6*d^6*e^4)/11 + (63504*A*a^5*b^5*d^5*e^5)/11 + (44100*A*a^6*b^4*d^4*e^6)/11 + (14400*A*a^7*b^3*d^3*e^7)/11 + (2025*A*a^8*b^2*d^2*e^8)/11 + (5400*B*a^3*b^7*d^8*e^2)/11 + (25200*B*a^4*b^6*d^7*e^3)/11 + (52920*B*a^5*b^5*d^6*e^4)/11 + (52920*B*a^6*b^4*d^5*e^5)/11 + (25200*B*a^7*b^3*d^4*e^6)/11 + (5400*B*a^8*b^2*d^3*e^7)/11 + (100*A*a*b^9*d^9*e)/11 + (100*A*a^9*b*d*e^9)/11) + x^5*(42*A*a^6*b^4*d^10 + 24*B*a^7*b^3*d^10 + 42*A*a^10*d^6*e^4 + 24*B*a^10*d^7*e^3 + 240*A*a^7*b^3*d^9*e + 240*A*a^9*b*d^7*e^3 + 90*B*a^8*b^2*d^9*e + 90*B*a^9*b*d^8*e^2 + 405*A*a^8*b^2*d^8*e^2) + x^8*(15*A*a^3*b^7*d^10 + (105*B*a^4*b^6*d^10)/4 + 15*A*a^10*d^3*e^7 + (105*B*a^10*d^4*e^6)/4 + (525*A*a^4*b^6*d^9*e)/2 + (525*A*a^9*b*d^4*e^6)/2 + 315*B*a^5*b^5*d^9*e + 315*B*a^9*b*d^5*e^5 + (2835*A*a^5*b^5*d^8*e^2)/2 + 3150*A*a^6*b^4*d^7*e^3 + 3150*A*a^7*b^3*d^6*e^4 + (2835*A*a^8*b^2*d^5*e^5)/2 + (4725*B*a^6*b^4*d^8*e^2)/4 + 1800*B*a^7*b^3*d^7*e^3 + (4725*B*a^8*b^2*d^6*e^4)/4) + x^12*((B*a^10*e^10)/12 + (B*b^10*d^10)/12 + (5*A*a^9*b*e^10)/6 + (5*A*b^10*d^9*e)/6 + (75*A*a*b^9*d^8*e^2)/2 + (75*A*a^8*b^2*d*e^9)/2 + 450*A*a^2*b^8*d^7*e^3 + 2100*A*a^3*b^7*d^6*e^4 + 4410*A*a^4*b^6*d^5*e^5 + 4410*A*a^5*b^5*d^4*e^6 + 2100*A*a^6*b^4*d^3*e^7 + 450*A*a^7*b^3*d^2*e^8 + (675*B*a^2*b^8*d^8*e^2)/4 + 1200*B*a^3*b^7*d^7*e^3 + 3675*B*a^4*b^6*d^6*e^4 + 5292*B*a^5*b^5*d^5*e^5 + 3675*B*a^6*b^4*d^4*e^6 + 1200*B*a^7*b^3*d^3*e^7 + (675*B*a^8*b^2*d^2*e^8)/4 + (25*B*a*b^9*d^9*e)/3 + (25*B*a^9*b*d*e^9)/3) + x^18*((20*A*a^3*b^7*e^10)/3 + (35*B*a^4*b^6*e^10)/3 + (20*A*b^10*d^3*e^7)/3 + (35*B*b^10*d^4*e^6)/3 + 25*A*a*b^9*d^2*e^8 + 25*A*a^2*b^8*d*e^9 + (200*B*a*b^9*d^3*e^7)/3 + (200*B*a^3*b^7*d*e^9)/3 + (225*B*a^2*b^8*d^2*e^8)/2) + x^15*(14*A*a^6*b^4*e^10 + 8*B*a^7*b^3*e^10 + 14*A*b^10*d^6*e^4 + 8*B*b^10*d^7*e^3 + 168*A*a*b^9*d^5*e^5 + 168*A*a^5*b^5*d*e^9 + 140*B*a*b^9*d^6*e^4 + 140*B*a^6*b^4*d*e^9 + 630*A*a^2*b^8*d^4*e^6 + 960*A*a^3*b^7*d^3*e^7 + 630*A*a^4*b^6*d^2*e^8 + 756*B*a^2*b^8*d^5*e^5 + 1680*B*a^3*b^7*d^4*e^6 + 1680*B*a^4*b^6*d^3*e^7 + 756*B*a^5*b^5*d^2*e^8) + x^6*(42*A*a^5*b^5*d^10 + 35*B*a^6*b^4*d^10 + 42*A*a^10*d^5*e^5 + 35*B*a^10*d^6*e^4 + 350*A*a^6*b^4*d^9*e + 350*A*a^9*b*d^6*e^4 + 200*B*a^7*b^3*d^9*e + 200*B*a^9*b*d^7*e^3 + 900*A*a^7*b^3*d^8*e^2 + 900*A*a^8*b^2*d^7*e^3 + (675*B*a^8*b^2*d^8*e^2)/2) + x^9*(5*A*a^2*b^8*d^10 + (40*B*a^3*b^7*d^10)/3 + 5*A*a^10*d^2*e^8 + (40*B*a^10*d^3*e^7)/3 + (400*A*a^3*b^7*d^9*e)/3 + (400*A*a^9*b*d^3*e^7)/3 + (700*B*a^4*b^6*d^9*e)/3 + (700*B*a^9*b*d^4*e^6)/3 + 1050*A*a^4*b^6*d^8*e^2 + 3360*A*a^5*b^5*d^7*e^3 + 4900*A*a^6*b^4*d^6*e^4 + 3360*A*a^7*b^3*d^5*e^5 + 1050*A*a^8*b^2*d^4*e^6 + 1260*B*a^5*b^5*d^8*e^2 + 2800*B*a^6*b^4*d^7*e^3 + 2800*B*a^7*b^3*d^6*e^4 + 1260*B*a^8*b^2*d^5*e^5) + x^17*((210*A*a^4*b^6*e^10)/17 + (252*B*a^5*b^5*e^10)/17 + (210*A*b^10*d^4*e^6)/17 + (252*B*b^10*d^5*e^5)/17 + (1200*A*a*b^9*d^3*e^7)/17 + (1200*A*a^3*b^7*d*e^9)/17 + (2100*B*a*b^9*d^4*e^6)/17 + (2100*B*a^4*b^6*d*e^9)/17 + (2025*A*a^2*b^8*d^2*e^8)/17 + (5400*B*a^2*b^8*d^3*e^7)/17 + (5400*B*a^3*b^7*d^2*e^8)/17) + x^14*((60*A*a^7*b^3*e^10)/7 + (45*B*a^8*b^2*e^10)/14 + (60*A*b^10*d^7*e^3)/7 + (45*B*b^10*d^8*e^2)/14 + 150*A*a*b^9*d^6*e^4 + 150*A*a^6*b^4*d*e^9 + (600*B*a*b^9*d^7*e^3)/7 + (600*B*a^7*b^3*d*e^9)/7 + 810*A*a^2*b^8*d^5*e^5 + 1800*A*a^3*b^7*d^4*e^6 + 1800*A*a^4*b^6*d^3*e^7 + 810*A*a^5*b^5*d^2*e^8 + 675*B*a^2*b^8*d^6*e^4 + 2160*B*a^3*b^7*d^5*e^5 + 3150*B*a^4*b^6*d^4*e^6 + 2160*B*a^5*b^5*d^3*e^7 + 675*B*a^6*b^4*d^2*e^8) + x^4*(30*A*a^7*b^3*d^10 + (45*B*a^8*b^2*d^10)/4 + 30*A*a^10*d^7*e^3 + (45*B*a^10*d^8*e^2)/4 + (225*A*a^8*b^2*d^9*e)/2 + (225*A*a^9*b*d^8*e^2)/2 + 25*B*a^9*b*d^9*e) + x^7*(30*A*a^4*b^6*d^10 + 36*B*a^5*b^5*d^10 + 30*A*a^10*d^4*e^6 + 36*B*a^10*d^5*e^5 + 360*A*a^5*b^5*d^9*e + 360*A*a^9*b*d^5*e^5 + 300*B*a^6*b^4*d^9*e + 300*B*a^9*b*d^6*e^4 + 1350*A*a^6*b^4*d^8*e^2 + (14400*A*a^7*b^3*d^7*e^3)/7 + 1350*A*a^8*b^2*d^6*e^4 + (5400*B*a^7*b^3*d^8*e^2)/7 + (5400*B*a^8*b^2*d^7*e^3)/7) + x^19*((45*A*a^2*b^8*e^10)/19 + (120*B*a^3*b^7*e^10)/19 + (45*A*b^10*d^2*e^8)/19 + (120*B*b^10*d^3*e^7)/19 + (450*B*a*b^9*d^2*e^8)/19 + (450*B*a^2*b^8*d*e^9)/19 + (100*A*a*b^9*d*e^9)/19) + x^16*((63*A*a^5*b^5*e^10)/4 + (105*B*a^6*b^4*e^10)/8 + (63*A*b^10*d^5*e^5)/4 + (105*B*b^10*d^6*e^4)/8 + (525*A*a*b^9*d^4*e^6)/4 + (525*A*a^4*b^6*d*e^9)/4 + (315*B*a*b^9*d^5*e^5)/2 + (315*B*a^5*b^5*d*e^9)/2 + (675*A*a^2*b^8*d^3*e^7)/2 + (675*A*a^3*b^7*d^2*e^8)/2 + (4725*B*a^2*b^8*d^4*e^6)/8 + 900*B*a^3*b^7*d^3*e^7 + (4725*B*a^4*b^6*d^2*e^8)/8) + x^10*(A*a*b^9*d^10 + A*a^10*d*e^9 + (9*B*a^2*b^8*d^10)/2 + (9*B*a^10*d^2*e^8)/2 + 45*A*a^2*b^8*d^9*e + 45*A*a^9*b*d^2*e^8 + 120*B*a^3*b^7*d^9*e + 120*B*a^9*b*d^3*e^7 + 540*A*a^3*b^7*d^8*e^2 + 2520*A*a^4*b^6*d^7*e^3 + 5292*A*a^5*b^5*d^6*e^4 + 5292*A*a^6*b^4*d^5*e^5 + 2520*A*a^7*b^3*d^4*e^6 + 540*A*a^8*b^2*d^3*e^7 + 945*B*a^4*b^6*d^8*e^2 + 3024*B*a^5*b^5*d^7*e^3 + 4410*B*a^6*b^4*d^6*e^4 + 3024*B*a^7*b^3*d^5*e^5 + 945*B*a^8*b^2*d^4*e^6) + x^13*((10*B*a^9*b*e^10)/13 + (10*B*b^10*d^9*e)/13 + (45*A*a^8*b^2*e^10)/13 + (45*A*b^10*d^8*e^2)/13 + (1200*A*a*b^9*d^7*e^3)/13 + (1200*A*a^7*b^3*d*e^9)/13 + (450*B*a*b^9*d^8*e^2)/13 + (450*B*a^8*b^2*d*e^9)/13 + (9450*A*a^2*b^8*d^6*e^4)/13 + (30240*A*a^3*b^7*d^5*e^5)/13 + (44100*A*a^4*b^6*d^4*e^6)/13 + (30240*A*a^5*b^5*d^3*e^7)/13 + (9450*A*a^6*b^4*d^2*e^8)/13 + (5400*B*a^2*b^8*d^7*e^3)/13 + (25200*B*a^3*b^7*d^6*e^4)/13 + (52920*B*a^4*b^6*d^5*e^5)/13 + (52920*B*a^5*b^5*d^4*e^6)/13 + (25200*B*a^6*b^4*d^3*e^7)/13 + (5400*B*a^7*b^3*d^2*e^8)/13) + (a^9*d^9*x^2*(10*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^9*x^21*(A*b*e + 10*B*a*e + 10*B*b*d))/21 + A*a^10*d^10*x + (5*a^8*d^8*x^3*(9*A*a^2*e^2 + 9*A*b^2*d^2 + 2*B*a*b*d^2 + 2*B*a^2*d*e + 20*A*a*b*d*e))/3 + (b^8*e^8*x^20*(9*B*a^2*e^2 + 9*B*b^2*d^2 + 2*A*a*b*e^2 + 2*A*b^2*d*e + 20*B*a*b*d*e))/4 + (B*b^10*e^10*x^22)/22","B"
1079,1,2947,415,2.022526,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^9,x)","x^9\,\left(4\,B\,a^{10}\,d^2\,e^7+A\,a^{10}\,d\,e^8+\frac{280\,B\,a^9\,b\,d^3\,e^6}{3}+40\,A\,a^9\,b\,d^2\,e^7+630\,B\,a^8\,b^2\,d^4\,e^5+420\,A\,a^8\,b^2\,d^3\,e^6+1680\,B\,a^7\,b^3\,d^5\,e^4+1680\,A\,a^7\,b^3\,d^4\,e^5+1960\,B\,a^6\,b^4\,d^6\,e^3+2940\,A\,a^6\,b^4\,d^5\,e^4+1008\,B\,a^5\,b^5\,d^7\,e^2+2352\,A\,a^5\,b^5\,d^6\,e^3+210\,B\,a^4\,b^6\,d^8\,e+840\,A\,a^4\,b^6\,d^7\,e^2+\frac{40\,B\,a^3\,b^7\,d^9}{3}+120\,A\,a^3\,b^7\,d^8\,e+5\,A\,a^2\,b^8\,d^9\right)+x^{13}\,\left(\frac{45\,B\,a^8\,b^2\,e^9}{13}+\frac{1080\,B\,a^7\,b^3\,d\,e^8}{13}+\frac{120\,A\,a^7\,b^3\,e^9}{13}+\frac{7560\,B\,a^6\,b^4\,d^2\,e^7}{13}+\frac{1890\,A\,a^6\,b^4\,d\,e^8}{13}+\frac{21168\,B\,a^5\,b^5\,d^3\,e^6}{13}+\frac{9072\,A\,a^5\,b^5\,d^2\,e^7}{13}+\frac{26460\,B\,a^4\,b^6\,d^4\,e^5}{13}+\frac{17640\,A\,a^4\,b^6\,d^3\,e^6}{13}+\frac{15120\,B\,a^3\,b^7\,d^5\,e^4}{13}+\frac{15120\,A\,a^3\,b^7\,d^4\,e^5}{13}+\frac{3780\,B\,a^2\,b^8\,d^6\,e^3}{13}+\frac{5670\,A\,a^2\,b^8\,d^5\,e^4}{13}+\frac{360\,B\,a\,b^9\,d^7\,e^2}{13}+\frac{840\,A\,a\,b^9\,d^6\,e^3}{13}+\frac{9\,B\,b^{10}\,d^8\,e}{13}+\frac{36\,A\,b^{10}\,d^7\,e^2}{13}\right)+x^5\,\left(\frac{84\,B\,a^{10}\,d^6\,e^3}{5}+\frac{126\,A\,a^{10}\,d^5\,e^4}{5}+72\,B\,a^9\,b\,d^7\,e^2+168\,A\,a^9\,b\,d^6\,e^3+81\,B\,a^8\,b^2\,d^8\,e+324\,A\,a^8\,b^2\,d^7\,e^2+24\,B\,a^7\,b^3\,d^9+216\,A\,a^7\,b^3\,d^8\,e+42\,A\,a^6\,b^4\,d^9\right)+x^8\,\left(\frac{21\,B\,a^{10}\,d^3\,e^6}{2}+\frac{9\,A\,a^{10}\,d^2\,e^7}{2}+\frac{315\,B\,a^9\,b\,d^4\,e^5}{2}+105\,A\,a^9\,b\,d^3\,e^6+\frac{2835\,B\,a^8\,b^2\,d^5\,e^4}{4}+\frac{2835\,A\,a^8\,b^2\,d^4\,e^5}{4}+1260\,B\,a^7\,b^3\,d^6\,e^3+1890\,A\,a^7\,b^3\,d^5\,e^4+945\,B\,a^6\,b^4\,d^7\,e^2+2205\,A\,a^6\,b^4\,d^6\,e^3+\frac{567\,B\,a^5\,b^5\,d^8\,e}{2}+1134\,A\,a^5\,b^5\,d^7\,e^2+\frac{105\,B\,a^4\,b^6\,d^9}{4}+\frac{945\,A\,a^4\,b^6\,d^8\,e}{4}+15\,A\,a^3\,b^7\,d^9\right)+x^{17}\,\left(\frac{210\,B\,a^4\,b^6\,e^9}{17}+\frac{1080\,B\,a^3\,b^7\,d\,e^8}{17}+\frac{120\,A\,a^3\,b^7\,e^9}{17}+\frac{1620\,B\,a^2\,b^8\,d^2\,e^7}{17}+\frac{405\,A\,a^2\,b^8\,d\,e^8}{17}+\frac{840\,B\,a\,b^9\,d^3\,e^6}{17}+\frac{360\,A\,a\,b^9\,d^2\,e^7}{17}+\frac{126\,B\,b^{10}\,d^4\,e^5}{17}+\frac{84\,A\,b^{10}\,d^3\,e^6}{17}\right)+x^{14}\,\left(\frac{60\,B\,a^7\,b^3\,e^9}{7}+135\,B\,a^6\,b^4\,d\,e^8+15\,A\,a^6\,b^4\,e^9+648\,B\,a^5\,b^5\,d^2\,e^7+162\,A\,a^5\,b^5\,d\,e^8+1260\,B\,a^4\,b^6\,d^3\,e^6+540\,A\,a^4\,b^6\,d^2\,e^7+1080\,B\,a^3\,b^7\,d^4\,e^5+720\,A\,a^3\,b^7\,d^3\,e^6+405\,B\,a^2\,b^8\,d^5\,e^4+405\,A\,a^2\,b^8\,d^4\,e^5+60\,B\,a\,b^9\,d^6\,e^3+90\,A\,a\,b^9\,d^5\,e^4+\frac{18\,B\,b^{10}\,d^7\,e^2}{7}+6\,A\,b^{10}\,d^6\,e^3\right)+x^{11}\,\left(\frac{B\,a^{10}\,e^9}{11}+\frac{90\,B\,a^9\,b\,d\,e^8}{11}+\frac{10\,A\,a^9\,b\,e^9}{11}+\frac{1620\,B\,a^8\,b^2\,d^2\,e^7}{11}+\frac{405\,A\,a^8\,b^2\,d\,e^8}{11}+\frac{10080\,B\,a^7\,b^3\,d^3\,e^6}{11}+\frac{4320\,A\,a^7\,b^3\,d^2\,e^7}{11}+\frac{26460\,B\,a^6\,b^4\,d^4\,e^5}{11}+\frac{17640\,A\,a^6\,b^4\,d^3\,e^6}{11}+\frac{31752\,B\,a^5\,b^5\,d^5\,e^4}{11}+\frac{31752\,A\,a^5\,b^5\,d^4\,e^5}{11}+\frac{17640\,B\,a^4\,b^6\,d^6\,e^3}{11}+\frac{26460\,A\,a^4\,b^6\,d^5\,e^4}{11}+\frac{4320\,B\,a^3\,b^7\,d^7\,e^2}{11}+\frac{10080\,A\,a^3\,b^7\,d^6\,e^3}{11}+\frac{405\,B\,a^2\,b^8\,d^8\,e}{11}+\frac{1620\,A\,a^2\,b^8\,d^7\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^9}{11}+\frac{90\,A\,a\,b^9\,d^8\,e}{11}+\frac{A\,b^{10}\,d^9}{11}\right)+x^6\,\left(21\,B\,a^{10}\,d^5\,e^4+21\,A\,a^{10}\,d^4\,e^5+140\,B\,a^9\,b\,d^6\,e^3+210\,A\,a^9\,b\,d^5\,e^4+270\,B\,a^8\,b^2\,d^7\,e^2+630\,A\,a^8\,b^2\,d^6\,e^3+180\,B\,a^7\,b^3\,d^8\,e+720\,A\,a^7\,b^3\,d^7\,e^2+35\,B\,a^6\,b^4\,d^9+315\,A\,a^6\,b^4\,d^8\,e+42\,A\,a^5\,b^5\,d^9\right)+x^{16}\,\left(\frac{63\,B\,a^5\,b^5\,e^9}{4}+\frac{945\,B\,a^4\,b^6\,d\,e^8}{8}+\frac{105\,A\,a^4\,b^6\,e^9}{8}+270\,B\,a^3\,b^7\,d^2\,e^7+\frac{135\,A\,a^3\,b^7\,d\,e^8}{2}+\frac{945\,B\,a^2\,b^8\,d^3\,e^6}{4}+\frac{405\,A\,a^2\,b^8\,d^2\,e^7}{4}+\frac{315\,B\,a\,b^9\,d^4\,e^5}{4}+\frac{105\,A\,a\,b^9\,d^3\,e^6}{2}+\frac{63\,B\,b^{10}\,d^5\,e^4}{8}+\frac{63\,A\,b^{10}\,d^4\,e^5}{8}\right)+x^4\,\left(9\,B\,a^{10}\,d^7\,e^2+21\,A\,a^{10}\,d^6\,e^3+\frac{45\,B\,a^9\,b\,d^8\,e}{2}+90\,A\,a^9\,b\,d^7\,e^2+\frac{45\,B\,a^8\,b^2\,d^9}{4}+\frac{405\,A\,a^8\,b^2\,d^8\,e}{4}+30\,A\,a^7\,b^3\,d^9\right)+x^7\,\left(18\,B\,a^{10}\,d^4\,e^5+12\,A\,a^{10}\,d^3\,e^6+180\,B\,a^9\,b\,d^5\,e^4+180\,A\,a^9\,b\,d^4\,e^5+540\,B\,a^8\,b^2\,d^6\,e^3+810\,A\,a^8\,b^2\,d^5\,e^4+\frac{4320\,B\,a^7\,b^3\,d^7\,e^2}{7}+1440\,A\,a^7\,b^3\,d^6\,e^3+270\,B\,a^6\,b^4\,d^8\,e+1080\,A\,a^6\,b^4\,d^7\,e^2+36\,B\,a^5\,b^5\,d^9+324\,A\,a^5\,b^5\,d^8\,e+30\,A\,a^4\,b^6\,d^9\right)+x^{18}\,\left(\frac{20\,B\,a^3\,b^7\,e^9}{3}+\frac{45\,B\,a^2\,b^8\,d\,e^8}{2}+\frac{5\,A\,a^2\,b^8\,e^9}{2}+20\,B\,a\,b^9\,d^2\,e^7+5\,A\,a\,b^9\,d\,e^8+\frac{14\,B\,b^{10}\,d^3\,e^6}{3}+2\,A\,b^{10}\,d^2\,e^7\right)+x^{15}\,\left(14\,B\,a^6\,b^4\,e^9+\frac{756\,B\,a^5\,b^5\,d\,e^8}{5}+\frac{84\,A\,a^5\,b^5\,e^9}{5}+504\,B\,a^4\,b^6\,d^2\,e^7+126\,A\,a^4\,b^6\,d\,e^8+672\,B\,a^3\,b^7\,d^3\,e^6+288\,A\,a^3\,b^7\,d^2\,e^7+378\,B\,a^2\,b^8\,d^4\,e^5+252\,A\,a^2\,b^8\,d^3\,e^6+84\,B\,a\,b^9\,d^5\,e^4+84\,A\,a\,b^9\,d^4\,e^5+\frac{28\,B\,b^{10}\,d^6\,e^3}{5}+\frac{42\,A\,b^{10}\,d^5\,e^4}{5}\right)+x^{10}\,\left(\frac{9\,B\,a^{10}\,d\,e^8}{10}+\frac{A\,a^{10}\,e^9}{10}+36\,B\,a^9\,b\,d^2\,e^7+9\,A\,a^9\,b\,d\,e^8+378\,B\,a^8\,b^2\,d^3\,e^6+162\,A\,a^8\,b^2\,d^2\,e^7+1512\,B\,a^7\,b^3\,d^4\,e^5+1008\,A\,a^7\,b^3\,d^3\,e^6+2646\,B\,a^6\,b^4\,d^5\,e^4+2646\,A\,a^6\,b^4\,d^4\,e^5+\frac{10584\,B\,a^5\,b^5\,d^6\,e^3}{5}+\frac{15876\,A\,a^5\,b^5\,d^5\,e^4}{5}+756\,B\,a^4\,b^6\,d^7\,e^2+1764\,A\,a^4\,b^6\,d^6\,e^3+108\,B\,a^3\,b^7\,d^8\,e+432\,A\,a^3\,b^7\,d^7\,e^2+\frac{9\,B\,a^2\,b^8\,d^9}{2}+\frac{81\,A\,a^2\,b^8\,d^8\,e}{2}+A\,a\,b^9\,d^9\right)+x^{12}\,\left(\frac{5\,B\,a^9\,b\,e^9}{6}+\frac{135\,B\,a^8\,b^2\,d\,e^8}{4}+\frac{15\,A\,a^8\,b^2\,e^9}{4}+360\,B\,a^7\,b^3\,d^2\,e^7+90\,A\,a^7\,b^3\,d\,e^8+1470\,B\,a^6\,b^4\,d^3\,e^6+630\,A\,a^6\,b^4\,d^2\,e^7+2646\,B\,a^5\,b^5\,d^4\,e^5+1764\,A\,a^5\,b^5\,d^3\,e^6+2205\,B\,a^4\,b^6\,d^5\,e^4+2205\,A\,a^4\,b^6\,d^4\,e^5+840\,B\,a^3\,b^7\,d^6\,e^3+1260\,A\,a^3\,b^7\,d^5\,e^4+135\,B\,a^2\,b^8\,d^7\,e^2+315\,A\,a^2\,b^8\,d^6\,e^3+\frac{15\,B\,a\,b^9\,d^8\,e}{2}+30\,A\,a\,b^9\,d^7\,e^2+\frac{B\,b^{10}\,d^9}{12}+\frac{3\,A\,b^{10}\,d^8\,e}{4}\right)+\frac{a^9\,d^8\,x^2\,\left(9\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^8\,x^{20}\,\left(A\,b\,e+10\,B\,a\,e+9\,B\,b\,d\right)}{20}+A\,a^{10}\,d^9\,x+\frac{a^8\,d^7\,x^3\,\left(9\,B\,a^2\,d\,e+36\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+90\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^7\,x^{19}\,\left(45\,B\,a^2\,e^2+90\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+36\,B\,b^2\,d^2+9\,A\,b^2\,d\,e\right)}{19}+\frac{B\,b^{10}\,e^9\,x^{21}}{21}","Not used",1,"x^9*(A*a^10*d*e^8 + 5*A*a^2*b^8*d^9 + (40*B*a^3*b^7*d^9)/3 + 4*B*a^10*d^2*e^7 + 120*A*a^3*b^7*d^8*e + 40*A*a^9*b*d^2*e^7 + 210*B*a^4*b^6*d^8*e + (280*B*a^9*b*d^3*e^6)/3 + 840*A*a^4*b^6*d^7*e^2 + 2352*A*a^5*b^5*d^6*e^3 + 2940*A*a^6*b^4*d^5*e^4 + 1680*A*a^7*b^3*d^4*e^5 + 420*A*a^8*b^2*d^3*e^6 + 1008*B*a^5*b^5*d^7*e^2 + 1960*B*a^6*b^4*d^6*e^3 + 1680*B*a^7*b^3*d^5*e^4 + 630*B*a^8*b^2*d^4*e^5) + x^13*((9*B*b^10*d^8*e)/13 + (120*A*a^7*b^3*e^9)/13 + (45*B*a^8*b^2*e^9)/13 + (36*A*b^10*d^7*e^2)/13 + (840*A*a*b^9*d^6*e^3)/13 + (1890*A*a^6*b^4*d*e^8)/13 + (360*B*a*b^9*d^7*e^2)/13 + (1080*B*a^7*b^3*d*e^8)/13 + (5670*A*a^2*b^8*d^5*e^4)/13 + (15120*A*a^3*b^7*d^4*e^5)/13 + (17640*A*a^4*b^6*d^3*e^6)/13 + (9072*A*a^5*b^5*d^2*e^7)/13 + (3780*B*a^2*b^8*d^6*e^3)/13 + (15120*B*a^3*b^7*d^5*e^4)/13 + (26460*B*a^4*b^6*d^4*e^5)/13 + (21168*B*a^5*b^5*d^3*e^6)/13 + (7560*B*a^6*b^4*d^2*e^7)/13) + x^5*(42*A*a^6*b^4*d^9 + 24*B*a^7*b^3*d^9 + (126*A*a^10*d^5*e^4)/5 + (84*B*a^10*d^6*e^3)/5 + 216*A*a^7*b^3*d^8*e + 168*A*a^9*b*d^6*e^3 + 81*B*a^8*b^2*d^8*e + 72*B*a^9*b*d^7*e^2 + 324*A*a^8*b^2*d^7*e^2) + x^8*(15*A*a^3*b^7*d^9 + (105*B*a^4*b^6*d^9)/4 + (9*A*a^10*d^2*e^7)/2 + (21*B*a^10*d^3*e^6)/2 + (945*A*a^4*b^6*d^8*e)/4 + 105*A*a^9*b*d^3*e^6 + (567*B*a^5*b^5*d^8*e)/2 + (315*B*a^9*b*d^4*e^5)/2 + 1134*A*a^5*b^5*d^7*e^2 + 2205*A*a^6*b^4*d^6*e^3 + 1890*A*a^7*b^3*d^5*e^4 + (2835*A*a^8*b^2*d^4*e^5)/4 + 945*B*a^6*b^4*d^7*e^2 + 1260*B*a^7*b^3*d^6*e^3 + (2835*B*a^8*b^2*d^5*e^4)/4) + x^17*((120*A*a^3*b^7*e^9)/17 + (210*B*a^4*b^6*e^9)/17 + (84*A*b^10*d^3*e^6)/17 + (126*B*b^10*d^4*e^5)/17 + (360*A*a*b^9*d^2*e^7)/17 + (405*A*a^2*b^8*d*e^8)/17 + (840*B*a*b^9*d^3*e^6)/17 + (1080*B*a^3*b^7*d*e^8)/17 + (1620*B*a^2*b^8*d^2*e^7)/17) + x^14*(15*A*a^6*b^4*e^9 + (60*B*a^7*b^3*e^9)/7 + 6*A*b^10*d^6*e^3 + (18*B*b^10*d^7*e^2)/7 + 90*A*a*b^9*d^5*e^4 + 162*A*a^5*b^5*d*e^8 + 60*B*a*b^9*d^6*e^3 + 135*B*a^6*b^4*d*e^8 + 405*A*a^2*b^8*d^4*e^5 + 720*A*a^3*b^7*d^3*e^6 + 540*A*a^4*b^6*d^2*e^7 + 405*B*a^2*b^8*d^5*e^4 + 1080*B*a^3*b^7*d^4*e^5 + 1260*B*a^4*b^6*d^3*e^6 + 648*B*a^5*b^5*d^2*e^7) + x^11*((A*b^10*d^9)/11 + (B*a^10*e^9)/11 + (10*A*a^9*b*e^9)/11 + (10*B*a*b^9*d^9)/11 + (405*A*a^8*b^2*d*e^8)/11 + (405*B*a^2*b^8*d^8*e)/11 + (1620*A*a^2*b^8*d^7*e^2)/11 + (10080*A*a^3*b^7*d^6*e^3)/11 + (26460*A*a^4*b^6*d^5*e^4)/11 + (31752*A*a^5*b^5*d^4*e^5)/11 + (17640*A*a^6*b^4*d^3*e^6)/11 + (4320*A*a^7*b^3*d^2*e^7)/11 + (4320*B*a^3*b^7*d^7*e^2)/11 + (17640*B*a^4*b^6*d^6*e^3)/11 + (31752*B*a^5*b^5*d^5*e^4)/11 + (26460*B*a^6*b^4*d^4*e^5)/11 + (10080*B*a^7*b^3*d^3*e^6)/11 + (1620*B*a^8*b^2*d^2*e^7)/11 + (90*A*a*b^9*d^8*e)/11 + (90*B*a^9*b*d*e^8)/11) + x^6*(42*A*a^5*b^5*d^9 + 35*B*a^6*b^4*d^9 + 21*A*a^10*d^4*e^5 + 21*B*a^10*d^5*e^4 + 315*A*a^6*b^4*d^8*e + 210*A*a^9*b*d^5*e^4 + 180*B*a^7*b^3*d^8*e + 140*B*a^9*b*d^6*e^3 + 720*A*a^7*b^3*d^7*e^2 + 630*A*a^8*b^2*d^6*e^3 + 270*B*a^8*b^2*d^7*e^2) + x^16*((105*A*a^4*b^6*e^9)/8 + (63*B*a^5*b^5*e^9)/4 + (63*A*b^10*d^4*e^5)/8 + (63*B*b^10*d^5*e^4)/8 + (105*A*a*b^9*d^3*e^6)/2 + (135*A*a^3*b^7*d*e^8)/2 + (315*B*a*b^9*d^4*e^5)/4 + (945*B*a^4*b^6*d*e^8)/8 + (405*A*a^2*b^8*d^2*e^7)/4 + (945*B*a^2*b^8*d^3*e^6)/4 + 270*B*a^3*b^7*d^2*e^7) + x^4*(30*A*a^7*b^3*d^9 + (45*B*a^8*b^2*d^9)/4 + 21*A*a^10*d^6*e^3 + 9*B*a^10*d^7*e^2 + (405*A*a^8*b^2*d^8*e)/4 + 90*A*a^9*b*d^7*e^2 + (45*B*a^9*b*d^8*e)/2) + x^7*(30*A*a^4*b^6*d^9 + 36*B*a^5*b^5*d^9 + 12*A*a^10*d^3*e^6 + 18*B*a^10*d^4*e^5 + 324*A*a^5*b^5*d^8*e + 180*A*a^9*b*d^4*e^5 + 270*B*a^6*b^4*d^8*e + 180*B*a^9*b*d^5*e^4 + 1080*A*a^6*b^4*d^7*e^2 + 1440*A*a^7*b^3*d^6*e^3 + 810*A*a^8*b^2*d^5*e^4 + (4320*B*a^7*b^3*d^7*e^2)/7 + 540*B*a^8*b^2*d^6*e^3) + x^18*((5*A*a^2*b^8*e^9)/2 + (20*B*a^3*b^7*e^9)/3 + 2*A*b^10*d^2*e^7 + (14*B*b^10*d^3*e^6)/3 + 20*B*a*b^9*d^2*e^7 + (45*B*a^2*b^8*d*e^8)/2 + 5*A*a*b^9*d*e^8) + x^15*((84*A*a^5*b^5*e^9)/5 + 14*B*a^6*b^4*e^9 + (42*A*b^10*d^5*e^4)/5 + (28*B*b^10*d^6*e^3)/5 + 84*A*a*b^9*d^4*e^5 + 126*A*a^4*b^6*d*e^8 + 84*B*a*b^9*d^5*e^4 + (756*B*a^5*b^5*d*e^8)/5 + 252*A*a^2*b^8*d^3*e^6 + 288*A*a^3*b^7*d^2*e^7 + 378*B*a^2*b^8*d^4*e^5 + 672*B*a^3*b^7*d^3*e^6 + 504*B*a^4*b^6*d^2*e^7) + x^10*((A*a^10*e^9)/10 + A*a*b^9*d^9 + (9*B*a^10*d*e^8)/10 + (9*B*a^2*b^8*d^9)/2 + (81*A*a^2*b^8*d^8*e)/2 + 108*B*a^3*b^7*d^8*e + 36*B*a^9*b*d^2*e^7 + 432*A*a^3*b^7*d^7*e^2 + 1764*A*a^4*b^6*d^6*e^3 + (15876*A*a^5*b^5*d^5*e^4)/5 + 2646*A*a^6*b^4*d^4*e^5 + 1008*A*a^7*b^3*d^3*e^6 + 162*A*a^8*b^2*d^2*e^7 + 756*B*a^4*b^6*d^7*e^2 + (10584*B*a^5*b^5*d^6*e^3)/5 + 2646*B*a^6*b^4*d^5*e^4 + 1512*B*a^7*b^3*d^4*e^5 + 378*B*a^8*b^2*d^3*e^6 + 9*A*a^9*b*d*e^8) + x^12*((B*b^10*d^9)/12 + (5*B*a^9*b*e^9)/6 + (3*A*b^10*d^8*e)/4 + (15*A*a^8*b^2*e^9)/4 + 30*A*a*b^9*d^7*e^2 + 90*A*a^7*b^3*d*e^8 + (135*B*a^8*b^2*d*e^8)/4 + 315*A*a^2*b^8*d^6*e^3 + 1260*A*a^3*b^7*d^5*e^4 + 2205*A*a^4*b^6*d^4*e^5 + 1764*A*a^5*b^5*d^3*e^6 + 630*A*a^6*b^4*d^2*e^7 + 135*B*a^2*b^8*d^7*e^2 + 840*B*a^3*b^7*d^6*e^3 + 2205*B*a^4*b^6*d^5*e^4 + 2646*B*a^5*b^5*d^4*e^5 + 1470*B*a^6*b^4*d^3*e^6 + 360*B*a^7*b^3*d^2*e^7 + (15*B*a*b^9*d^8*e)/2) + (a^9*d^8*x^2*(9*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^8*x^20*(A*b*e + 10*B*a*e + 9*B*b*d))/20 + A*a^10*d^9*x + (a^8*d^7*x^3*(36*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 9*B*a^2*d*e + 90*A*a*b*d*e))/3 + (b^8*e^7*x^19*(45*B*a^2*e^2 + 36*B*b^2*d^2 + 10*A*a*b*e^2 + 9*A*b^2*d*e + 90*B*a*b*d*e))/19 + (B*b^10*e^9*x^21)/21","B"
1080,1,2631,372,1.903273,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^8,x)","x^5\,\left(\frac{56\,B\,a^{10}\,d^5\,e^3}{5}+14\,A\,a^{10}\,d^4\,e^4+56\,B\,a^9\,b\,d^6\,e^2+112\,A\,a^9\,b\,d^5\,e^3+72\,B\,a^8\,b^2\,d^7\,e+252\,A\,a^8\,b^2\,d^6\,e^2+24\,B\,a^7\,b^3\,d^8+192\,A\,a^7\,b^3\,d^7\,e+42\,A\,a^6\,b^4\,d^8\right)+x^{16}\,\left(\frac{105\,B\,a^4\,b^6\,e^8}{8}+60\,B\,a^3\,b^7\,d\,e^7+\frac{15\,A\,a^3\,b^7\,e^8}{2}+\frac{315\,B\,a^2\,b^8\,d^2\,e^6}{4}+\frac{45\,A\,a^2\,b^8\,d\,e^7}{2}+35\,B\,a\,b^9\,d^3\,e^5+\frac{35\,A\,a\,b^9\,d^2\,e^6}{2}+\frac{35\,B\,b^{10}\,d^4\,e^4}{8}+\frac{7\,A\,b^{10}\,d^3\,e^5}{2}\right)+x^{10}\,\left(\frac{B\,a^{10}\,e^8}{10}+8\,B\,a^9\,b\,d\,e^7+A\,a^9\,b\,e^8+126\,B\,a^8\,b^2\,d^2\,e^6+36\,A\,a^8\,b^2\,d\,e^7+672\,B\,a^7\,b^3\,d^3\,e^5+336\,A\,a^7\,b^3\,d^2\,e^6+1470\,B\,a^6\,b^4\,d^4\,e^4+1176\,A\,a^6\,b^4\,d^3\,e^5+\frac{7056\,B\,a^5\,b^5\,d^5\,e^3}{5}+1764\,A\,a^5\,b^5\,d^4\,e^4+588\,B\,a^4\,b^6\,d^6\,e^2+1176\,A\,a^4\,b^6\,d^5\,e^3+96\,B\,a^3\,b^7\,d^7\,e+336\,A\,a^3\,b^7\,d^6\,e^2+\frac{9\,B\,a^2\,b^8\,d^8}{2}+36\,A\,a^2\,b^8\,d^7\,e+A\,a\,b^9\,d^8\right)+x^{11}\,\left(\frac{10\,B\,a^9\,b\,e^8}{11}+\frac{360\,B\,a^8\,b^2\,d\,e^7}{11}+\frac{45\,A\,a^8\,b^2\,e^8}{11}+\frac{3360\,B\,a^7\,b^3\,d^2\,e^6}{11}+\frac{960\,A\,a^7\,b^3\,d\,e^7}{11}+\frac{11760\,B\,a^6\,b^4\,d^3\,e^5}{11}+\frac{5880\,A\,a^6\,b^4\,d^2\,e^6}{11}+\frac{17640\,B\,a^5\,b^5\,d^4\,e^4}{11}+\frac{14112\,A\,a^5\,b^5\,d^3\,e^5}{11}+\frac{11760\,B\,a^4\,b^6\,d^5\,e^3}{11}+\frac{14700\,A\,a^4\,b^6\,d^4\,e^4}{11}+\frac{3360\,B\,a^3\,b^7\,d^6\,e^2}{11}+\frac{6720\,A\,a^3\,b^7\,d^5\,e^3}{11}+\frac{360\,B\,a^2\,b^8\,d^7\,e}{11}+\frac{1260\,A\,a^2\,b^8\,d^6\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^8}{11}+\frac{80\,A\,a\,b^9\,d^7\,e}{11}+\frac{A\,b^{10}\,d^8}{11}\right)+x^6\,\left(\frac{35\,B\,a^{10}\,d^4\,e^4}{3}+\frac{28\,A\,a^{10}\,d^3\,e^5}{3}+\frac{280\,B\,a^9\,b\,d^5\,e^3}{3}+\frac{350\,A\,a^9\,b\,d^4\,e^4}{3}+210\,B\,a^8\,b^2\,d^6\,e^2+420\,A\,a^8\,b^2\,d^5\,e^3+160\,B\,a^7\,b^3\,d^7\,e+560\,A\,a^7\,b^3\,d^6\,e^2+35\,B\,a^6\,b^4\,d^8+280\,A\,a^6\,b^4\,d^7\,e+42\,A\,a^5\,b^5\,d^8\right)+x^{15}\,\left(\frac{84\,B\,a^5\,b^5\,e^8}{5}+112\,B\,a^4\,b^6\,d\,e^7+14\,A\,a^4\,b^6\,e^8+224\,B\,a^3\,b^7\,d^2\,e^6+64\,A\,a^3\,b^7\,d\,e^7+168\,B\,a^2\,b^8\,d^3\,e^5+84\,A\,a^2\,b^8\,d^2\,e^6+\frac{140\,B\,a\,b^9\,d^4\,e^4}{3}+\frac{112\,A\,a\,b^9\,d^3\,e^5}{3}+\frac{56\,B\,b^{10}\,d^5\,e^3}{15}+\frac{14\,A\,b^{10}\,d^4\,e^4}{3}\right)+x^8\,\left(\frac{7\,B\,a^{10}\,d^2\,e^6}{2}+A\,a^{10}\,d\,e^7+70\,B\,a^9\,b\,d^3\,e^5+35\,A\,a^9\,b\,d^2\,e^6+\frac{1575\,B\,a^8\,b^2\,d^4\,e^4}{4}+315\,A\,a^8\,b^2\,d^3\,e^5+840\,B\,a^7\,b^3\,d^5\,e^3+1050\,A\,a^7\,b^3\,d^4\,e^4+735\,B\,a^6\,b^4\,d^6\,e^2+1470\,A\,a^6\,b^4\,d^5\,e^3+252\,B\,a^5\,b^5\,d^7\,e+882\,A\,a^5\,b^5\,d^6\,e^2+\frac{105\,B\,a^4\,b^6\,d^8}{4}+210\,A\,a^4\,b^6\,d^7\,e+15\,A\,a^3\,b^7\,d^8\right)+x^{13}\,\left(\frac{120\,B\,a^7\,b^3\,e^8}{13}+\frac{1680\,B\,a^6\,b^4\,d\,e^7}{13}+\frac{210\,A\,a^6\,b^4\,e^8}{13}+\frac{7056\,B\,a^5\,b^5\,d^2\,e^6}{13}+\frac{2016\,A\,a^5\,b^5\,d\,e^7}{13}+\frac{11760\,B\,a^4\,b^6\,d^3\,e^5}{13}+\frac{5880\,A\,a^4\,b^6\,d^2\,e^6}{13}+\frac{8400\,B\,a^3\,b^7\,d^4\,e^4}{13}+\frac{6720\,A\,a^3\,b^7\,d^3\,e^5}{13}+\frac{2520\,B\,a^2\,b^8\,d^5\,e^3}{13}+\frac{3150\,A\,a^2\,b^8\,d^4\,e^4}{13}+\frac{280\,B\,a\,b^9\,d^6\,e^2}{13}+\frac{560\,A\,a\,b^9\,d^5\,e^3}{13}+\frac{8\,B\,b^{10}\,d^7\,e}{13}+\frac{28\,A\,b^{10}\,d^6\,e^2}{13}\right)+x^4\,\left(7\,B\,a^{10}\,d^6\,e^2+14\,A\,a^{10}\,d^5\,e^3+20\,B\,a^9\,b\,d^7\,e+70\,A\,a^9\,b\,d^6\,e^2+\frac{45\,B\,a^8\,b^2\,d^8}{4}+90\,A\,a^8\,b^2\,d^7\,e+30\,A\,a^7\,b^3\,d^8\right)+x^7\,\left(8\,B\,a^{10}\,d^3\,e^5+4\,A\,a^{10}\,d^2\,e^6+100\,B\,a^9\,b\,d^4\,e^4+80\,A\,a^9\,b\,d^3\,e^5+360\,B\,a^8\,b^2\,d^5\,e^3+450\,A\,a^8\,b^2\,d^4\,e^4+480\,B\,a^7\,b^3\,d^6\,e^2+960\,A\,a^7\,b^3\,d^5\,e^3+240\,B\,a^6\,b^4\,d^7\,e+840\,A\,a^6\,b^4\,d^6\,e^2+36\,B\,a^5\,b^5\,d^8+288\,A\,a^5\,b^5\,d^7\,e+30\,A\,a^4\,b^6\,d^8\right)+x^{17}\,\left(\frac{120\,B\,a^3\,b^7\,e^8}{17}+\frac{360\,B\,a^2\,b^8\,d\,e^7}{17}+\frac{45\,A\,a^2\,b^8\,e^8}{17}+\frac{280\,B\,a\,b^9\,d^2\,e^6}{17}+\frac{80\,A\,a\,b^9\,d\,e^7}{17}+\frac{56\,B\,b^{10}\,d^3\,e^5}{17}+\frac{28\,A\,b^{10}\,d^2\,e^6}{17}\right)+x^{14}\,\left(15\,B\,a^6\,b^4\,e^8+144\,B\,a^5\,b^5\,d\,e^7+18\,A\,a^5\,b^5\,e^8+420\,B\,a^4\,b^6\,d^2\,e^6+120\,A\,a^4\,b^6\,d\,e^7+480\,B\,a^3\,b^7\,d^3\,e^5+240\,A\,a^3\,b^7\,d^2\,e^6+225\,B\,a^2\,b^8\,d^4\,e^4+180\,A\,a^2\,b^8\,d^3\,e^5+40\,B\,a\,b^9\,d^5\,e^3+50\,A\,a\,b^9\,d^4\,e^4+2\,B\,b^{10}\,d^6\,e^2+4\,A\,b^{10}\,d^5\,e^3\right)+x^9\,\left(\frac{8\,B\,a^{10}\,d\,e^7}{9}+\frac{A\,a^{10}\,e^8}{9}+\frac{280\,B\,a^9\,b\,d^2\,e^6}{9}+\frac{80\,A\,a^9\,b\,d\,e^7}{9}+280\,B\,a^8\,b^2\,d^3\,e^5+140\,A\,a^8\,b^2\,d^2\,e^6+\frac{2800\,B\,a^7\,b^3\,d^4\,e^4}{3}+\frac{2240\,A\,a^7\,b^3\,d^3\,e^5}{3}+\frac{3920\,B\,a^6\,b^4\,d^5\,e^3}{3}+\frac{4900\,A\,a^6\,b^4\,d^4\,e^4}{3}+784\,B\,a^5\,b^5\,d^6\,e^2+1568\,A\,a^5\,b^5\,d^5\,e^3+\frac{560\,B\,a^4\,b^6\,d^7\,e}{3}+\frac{1960\,A\,a^4\,b^6\,d^6\,e^2}{3}+\frac{40\,B\,a^3\,b^7\,d^8}{3}+\frac{320\,A\,a^3\,b^7\,d^7\,e}{3}+5\,A\,a^2\,b^8\,d^8\right)+x^{12}\,\left(\frac{15\,B\,a^8\,b^2\,e^8}{4}+80\,B\,a^7\,b^3\,d\,e^7+10\,A\,a^7\,b^3\,e^8+490\,B\,a^6\,b^4\,d^2\,e^6+140\,A\,a^6\,b^4\,d\,e^7+1176\,B\,a^5\,b^5\,d^3\,e^5+588\,A\,a^5\,b^5\,d^2\,e^6+1225\,B\,a^4\,b^6\,d^4\,e^4+980\,A\,a^4\,b^6\,d^3\,e^5+560\,B\,a^3\,b^7\,d^5\,e^3+700\,A\,a^3\,b^7\,d^4\,e^4+105\,B\,a^2\,b^8\,d^6\,e^2+210\,A\,a^2\,b^8\,d^5\,e^3+\frac{20\,B\,a\,b^9\,d^7\,e}{3}+\frac{70\,A\,a\,b^9\,d^6\,e^2}{3}+\frac{B\,b^{10}\,d^8}{12}+\frac{2\,A\,b^{10}\,d^7\,e}{3}\right)+\frac{a^9\,d^7\,x^2\,\left(8\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^7\,x^{19}\,\left(A\,b\,e+10\,B\,a\,e+8\,B\,b\,d\right)}{19}+A\,a^{10}\,d^8\,x+\frac{a^8\,d^6\,x^3\,\left(8\,B\,a^2\,d\,e+28\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+80\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^6\,x^{18}\,\left(45\,B\,a^2\,e^2+80\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+28\,B\,b^2\,d^2+8\,A\,b^2\,d\,e\right)}{18}+\frac{B\,b^{10}\,e^8\,x^{20}}{20}","Not used",1,"x^5*(42*A*a^6*b^4*d^8 + 24*B*a^7*b^3*d^8 + 14*A*a^10*d^4*e^4 + (56*B*a^10*d^5*e^3)/5 + 192*A*a^7*b^3*d^7*e + 112*A*a^9*b*d^5*e^3 + 72*B*a^8*b^2*d^7*e + 56*B*a^9*b*d^6*e^2 + 252*A*a^8*b^2*d^6*e^2) + x^16*((15*A*a^3*b^7*e^8)/2 + (105*B*a^4*b^6*e^8)/8 + (7*A*b^10*d^3*e^5)/2 + (35*B*b^10*d^4*e^4)/8 + (35*A*a*b^9*d^2*e^6)/2 + (45*A*a^2*b^8*d*e^7)/2 + 35*B*a*b^9*d^3*e^5 + 60*B*a^3*b^7*d*e^7 + (315*B*a^2*b^8*d^2*e^6)/4) + x^10*((B*a^10*e^8)/10 + A*a*b^9*d^8 + A*a^9*b*e^8 + (9*B*a^2*b^8*d^8)/2 + 36*A*a^2*b^8*d^7*e + 36*A*a^8*b^2*d*e^7 + 96*B*a^3*b^7*d^7*e + 336*A*a^3*b^7*d^6*e^2 + 1176*A*a^4*b^6*d^5*e^3 + 1764*A*a^5*b^5*d^4*e^4 + 1176*A*a^6*b^4*d^3*e^5 + 336*A*a^7*b^3*d^2*e^6 + 588*B*a^4*b^6*d^6*e^2 + (7056*B*a^5*b^5*d^5*e^3)/5 + 1470*B*a^6*b^4*d^4*e^4 + 672*B*a^7*b^3*d^3*e^5 + 126*B*a^8*b^2*d^2*e^6 + 8*B*a^9*b*d*e^7) + x^11*((A*b^10*d^8)/11 + (10*B*a*b^9*d^8)/11 + (10*B*a^9*b*e^8)/11 + (45*A*a^8*b^2*e^8)/11 + (960*A*a^7*b^3*d*e^7)/11 + (360*B*a^2*b^8*d^7*e)/11 + (360*B*a^8*b^2*d*e^7)/11 + (1260*A*a^2*b^8*d^6*e^2)/11 + (6720*A*a^3*b^7*d^5*e^3)/11 + (14700*A*a^4*b^6*d^4*e^4)/11 + (14112*A*a^5*b^5*d^3*e^5)/11 + (5880*A*a^6*b^4*d^2*e^6)/11 + (3360*B*a^3*b^7*d^6*e^2)/11 + (11760*B*a^4*b^6*d^5*e^3)/11 + (17640*B*a^5*b^5*d^4*e^4)/11 + (11760*B*a^6*b^4*d^3*e^5)/11 + (3360*B*a^7*b^3*d^2*e^6)/11 + (80*A*a*b^9*d^7*e)/11) + x^6*(42*A*a^5*b^5*d^8 + 35*B*a^6*b^4*d^8 + (28*A*a^10*d^3*e^5)/3 + (35*B*a^10*d^4*e^4)/3 + 280*A*a^6*b^4*d^7*e + (350*A*a^9*b*d^4*e^4)/3 + 160*B*a^7*b^3*d^7*e + (280*B*a^9*b*d^5*e^3)/3 + 560*A*a^7*b^3*d^6*e^2 + 420*A*a^8*b^2*d^5*e^3 + 210*B*a^8*b^2*d^6*e^2) + x^15*(14*A*a^4*b^6*e^8 + (84*B*a^5*b^5*e^8)/5 + (14*A*b^10*d^4*e^4)/3 + (56*B*b^10*d^5*e^3)/15 + (112*A*a*b^9*d^3*e^5)/3 + 64*A*a^3*b^7*d*e^7 + (140*B*a*b^9*d^4*e^4)/3 + 112*B*a^4*b^6*d*e^7 + 84*A*a^2*b^8*d^2*e^6 + 168*B*a^2*b^8*d^3*e^5 + 224*B*a^3*b^7*d^2*e^6) + x^8*(A*a^10*d*e^7 + 15*A*a^3*b^7*d^8 + (105*B*a^4*b^6*d^8)/4 + (7*B*a^10*d^2*e^6)/2 + 210*A*a^4*b^6*d^7*e + 35*A*a^9*b*d^2*e^6 + 252*B*a^5*b^5*d^7*e + 70*B*a^9*b*d^3*e^5 + 882*A*a^5*b^5*d^6*e^2 + 1470*A*a^6*b^4*d^5*e^3 + 1050*A*a^7*b^3*d^4*e^4 + 315*A*a^8*b^2*d^3*e^5 + 735*B*a^6*b^4*d^6*e^2 + 840*B*a^7*b^3*d^5*e^3 + (1575*B*a^8*b^2*d^4*e^4)/4) + x^13*((8*B*b^10*d^7*e)/13 + (210*A*a^6*b^4*e^8)/13 + (120*B*a^7*b^3*e^8)/13 + (28*A*b^10*d^6*e^2)/13 + (560*A*a*b^9*d^5*e^3)/13 + (2016*A*a^5*b^5*d*e^7)/13 + (280*B*a*b^9*d^6*e^2)/13 + (1680*B*a^6*b^4*d*e^7)/13 + (3150*A*a^2*b^8*d^4*e^4)/13 + (6720*A*a^3*b^7*d^3*e^5)/13 + (5880*A*a^4*b^6*d^2*e^6)/13 + (2520*B*a^2*b^8*d^5*e^3)/13 + (8400*B*a^3*b^7*d^4*e^4)/13 + (11760*B*a^4*b^6*d^3*e^5)/13 + (7056*B*a^5*b^5*d^2*e^6)/13) + x^4*(30*A*a^7*b^3*d^8 + (45*B*a^8*b^2*d^8)/4 + 14*A*a^10*d^5*e^3 + 7*B*a^10*d^6*e^2 + 90*A*a^8*b^2*d^7*e + 70*A*a^9*b*d^6*e^2 + 20*B*a^9*b*d^7*e) + x^7*(30*A*a^4*b^6*d^8 + 36*B*a^5*b^5*d^8 + 4*A*a^10*d^2*e^6 + 8*B*a^10*d^3*e^5 + 288*A*a^5*b^5*d^7*e + 80*A*a^9*b*d^3*e^5 + 240*B*a^6*b^4*d^7*e + 100*B*a^9*b*d^4*e^4 + 840*A*a^6*b^4*d^6*e^2 + 960*A*a^7*b^3*d^5*e^3 + 450*A*a^8*b^2*d^4*e^4 + 480*B*a^7*b^3*d^6*e^2 + 360*B*a^8*b^2*d^5*e^3) + x^17*((45*A*a^2*b^8*e^8)/17 + (120*B*a^3*b^7*e^8)/17 + (28*A*b^10*d^2*e^6)/17 + (56*B*b^10*d^3*e^5)/17 + (280*B*a*b^9*d^2*e^6)/17 + (360*B*a^2*b^8*d*e^7)/17 + (80*A*a*b^9*d*e^7)/17) + x^14*(18*A*a^5*b^5*e^8 + 15*B*a^6*b^4*e^8 + 4*A*b^10*d^5*e^3 + 2*B*b^10*d^6*e^2 + 50*A*a*b^9*d^4*e^4 + 120*A*a^4*b^6*d*e^7 + 40*B*a*b^9*d^5*e^3 + 144*B*a^5*b^5*d*e^7 + 180*A*a^2*b^8*d^3*e^5 + 240*A*a^3*b^7*d^2*e^6 + 225*B*a^2*b^8*d^4*e^4 + 480*B*a^3*b^7*d^3*e^5 + 420*B*a^4*b^6*d^2*e^6) + x^9*((A*a^10*e^8)/9 + (8*B*a^10*d*e^7)/9 + 5*A*a^2*b^8*d^8 + (40*B*a^3*b^7*d^8)/3 + (320*A*a^3*b^7*d^7*e)/3 + (560*B*a^4*b^6*d^7*e)/3 + (280*B*a^9*b*d^2*e^6)/9 + (1960*A*a^4*b^6*d^6*e^2)/3 + 1568*A*a^5*b^5*d^5*e^3 + (4900*A*a^6*b^4*d^4*e^4)/3 + (2240*A*a^7*b^3*d^3*e^5)/3 + 140*A*a^8*b^2*d^2*e^6 + 784*B*a^5*b^5*d^6*e^2 + (3920*B*a^6*b^4*d^5*e^3)/3 + (2800*B*a^7*b^3*d^4*e^4)/3 + 280*B*a^8*b^2*d^3*e^5 + (80*A*a^9*b*d*e^7)/9) + x^12*((B*b^10*d^8)/12 + (2*A*b^10*d^7*e)/3 + 10*A*a^7*b^3*e^8 + (15*B*a^8*b^2*e^8)/4 + (70*A*a*b^9*d^6*e^2)/3 + 140*A*a^6*b^4*d*e^7 + 80*B*a^7*b^3*d*e^7 + 210*A*a^2*b^8*d^5*e^3 + 700*A*a^3*b^7*d^4*e^4 + 980*A*a^4*b^6*d^3*e^5 + 588*A*a^5*b^5*d^2*e^6 + 105*B*a^2*b^8*d^6*e^2 + 560*B*a^3*b^7*d^5*e^3 + 1225*B*a^4*b^6*d^4*e^4 + 1176*B*a^5*b^5*d^3*e^5 + 490*B*a^6*b^4*d^2*e^6 + (20*B*a*b^9*d^7*e)/3) + (a^9*d^7*x^2*(8*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^7*x^19*(A*b*e + 10*B*a*e + 8*B*b*d))/19 + A*a^10*d^8*x + (a^8*d^6*x^3*(28*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 8*B*a^2*d*e + 80*A*a*b*d*e))/3 + (b^8*e^6*x^18*(45*B*a^2*e^2 + 28*B*b^2*d^2 + 10*A*a*b*e^2 + 8*A*b^2*d*e + 80*B*a*b*d*e))/18 + (B*b^10*e^8*x^20)/20","B"
1081,1,2316,329,1.793742,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^7,x)","x^5\,\left(7\,B\,a^{10}\,d^4\,e^3+7\,A\,a^{10}\,d^3\,e^4+42\,B\,a^9\,b\,d^5\,e^2+70\,A\,a^9\,b\,d^4\,e^3+63\,B\,a^8\,b^2\,d^6\,e+189\,A\,a^8\,b^2\,d^5\,e^2+24\,B\,a^7\,b^3\,d^7+168\,A\,a^7\,b^3\,d^6\,e+42\,A\,a^6\,b^4\,d^7\right)+x^{15}\,\left(14\,B\,a^4\,b^6\,e^7+56\,B\,a^3\,b^7\,d\,e^6+8\,A\,a^3\,b^7\,e^7+63\,B\,a^2\,b^8\,d^2\,e^5+21\,A\,a^2\,b^8\,d\,e^6+\frac{70\,B\,a\,b^9\,d^3\,e^4}{3}+14\,A\,a\,b^9\,d^2\,e^5+\frac{7\,B\,b^{10}\,d^4\,e^3}{3}+\frac{7\,A\,b^{10}\,d^3\,e^4}{3}\right)+x^9\,\left(\frac{B\,a^{10}\,e^7}{9}+\frac{70\,B\,a^9\,b\,d\,e^6}{9}+\frac{10\,A\,a^9\,b\,e^7}{9}+105\,B\,a^8\,b^2\,d^2\,e^5+35\,A\,a^8\,b^2\,d\,e^6+\frac{1400\,B\,a^7\,b^3\,d^3\,e^4}{3}+280\,A\,a^7\,b^3\,d^2\,e^5+\frac{2450\,B\,a^6\,b^4\,d^4\,e^3}{3}+\frac{2450\,A\,a^6\,b^4\,d^3\,e^4}{3}+588\,B\,a^5\,b^5\,d^5\,e^2+980\,A\,a^5\,b^5\,d^4\,e^3+\frac{490\,B\,a^4\,b^6\,d^6\,e}{3}+490\,A\,a^4\,b^6\,d^5\,e^2+\frac{40\,B\,a^3\,b^7\,d^7}{3}+\frac{280\,A\,a^3\,b^7\,d^6\,e}{3}+5\,A\,a^2\,b^8\,d^7\right)+x^{11}\,\left(\frac{45\,B\,a^8\,b^2\,e^7}{11}+\frac{840\,B\,a^7\,b^3\,d\,e^6}{11}+\frac{120\,A\,a^7\,b^3\,e^7}{11}+\frac{4410\,B\,a^6\,b^4\,d^2\,e^5}{11}+\frac{1470\,A\,a^6\,b^4\,d\,e^6}{11}+\frac{8820\,B\,a^5\,b^5\,d^3\,e^4}{11}+\frac{5292\,A\,a^5\,b^5\,d^2\,e^5}{11}+\frac{7350\,B\,a^4\,b^6\,d^4\,e^3}{11}+\frac{7350\,A\,a^4\,b^6\,d^3\,e^4}{11}+\frac{2520\,B\,a^3\,b^7\,d^5\,e^2}{11}+\frac{4200\,A\,a^3\,b^7\,d^4\,e^3}{11}+\frac{315\,B\,a^2\,b^8\,d^6\,e}{11}+\frac{945\,A\,a^2\,b^8\,d^5\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^7}{11}+\frac{70\,A\,a\,b^9\,d^6\,e}{11}+\frac{A\,b^{10}\,d^7}{11}\right)+x^7\,\left(3\,B\,a^{10}\,d^2\,e^5+A\,a^{10}\,d\,e^6+50\,B\,a^9\,b\,d^3\,e^4+30\,A\,a^9\,b\,d^2\,e^5+225\,B\,a^8\,b^2\,d^4\,e^3+225\,A\,a^8\,b^2\,d^3\,e^4+360\,B\,a^7\,b^3\,d^5\,e^2+600\,A\,a^7\,b^3\,d^4\,e^3+210\,B\,a^6\,b^4\,d^6\,e+630\,A\,a^6\,b^4\,d^5\,e^2+36\,B\,a^5\,b^5\,d^7+252\,A\,a^5\,b^5\,d^6\,e+30\,A\,a^4\,b^6\,d^7\right)+x^{13}\,\left(\frac{210\,B\,a^6\,b^4\,e^7}{13}+\frac{1764\,B\,a^5\,b^5\,d\,e^6}{13}+\frac{252\,A\,a^5\,b^5\,e^7}{13}+\frac{4410\,B\,a^4\,b^6\,d^2\,e^5}{13}+\frac{1470\,A\,a^4\,b^6\,d\,e^6}{13}+\frac{4200\,B\,a^3\,b^7\,d^3\,e^4}{13}+\frac{2520\,A\,a^3\,b^7\,d^2\,e^5}{13}+\frac{1575\,B\,a^2\,b^8\,d^4\,e^3}{13}+\frac{1575\,A\,a^2\,b^8\,d^3\,e^4}{13}+\frac{210\,B\,a\,b^9\,d^5\,e^2}{13}+\frac{350\,A\,a\,b^9\,d^4\,e^3}{13}+\frac{7\,B\,b^{10}\,d^6\,e}{13}+\frac{21\,A\,b^{10}\,d^5\,e^2}{13}\right)+x^6\,\left(\frac{35\,B\,a^{10}\,d^3\,e^4}{6}+\frac{7\,A\,a^{10}\,d^2\,e^5}{2}+\frac{175\,B\,a^9\,b\,d^4\,e^3}{3}+\frac{175\,A\,a^9\,b\,d^3\,e^4}{3}+\frac{315\,B\,a^8\,b^2\,d^5\,e^2}{2}+\frac{525\,A\,a^8\,b^2\,d^4\,e^3}{2}+140\,B\,a^7\,b^3\,d^6\,e+420\,A\,a^7\,b^3\,d^5\,e^2+35\,B\,a^6\,b^4\,d^7+245\,A\,a^6\,b^4\,d^6\,e+42\,A\,a^5\,b^5\,d^7\right)+x^{14}\,\left(18\,B\,a^5\,b^5\,e^7+105\,B\,a^4\,b^6\,d\,e^6+15\,A\,a^4\,b^6\,e^7+180\,B\,a^3\,b^7\,d^2\,e^5+60\,A\,a^3\,b^7\,d\,e^6+\frac{225\,B\,a^2\,b^8\,d^3\,e^4}{2}+\frac{135\,A\,a^2\,b^8\,d^2\,e^5}{2}+25\,B\,a\,b^9\,d^4\,e^3+25\,A\,a\,b^9\,d^3\,e^4+\frac{3\,B\,b^{10}\,d^5\,e^2}{2}+\frac{5\,A\,b^{10}\,d^4\,e^3}{2}\right)+x^8\,\left(\frac{7\,B\,a^{10}\,d\,e^6}{8}+\frac{A\,a^{10}\,e^7}{8}+\frac{105\,B\,a^9\,b\,d^2\,e^5}{4}+\frac{35\,A\,a^9\,b\,d\,e^6}{4}+\frac{1575\,B\,a^8\,b^2\,d^3\,e^4}{8}+\frac{945\,A\,a^8\,b^2\,d^2\,e^5}{8}+525\,B\,a^7\,b^3\,d^4\,e^3+525\,A\,a^7\,b^3\,d^3\,e^4+\frac{2205\,B\,a^6\,b^4\,d^5\,e^2}{4}+\frac{3675\,A\,a^6\,b^4\,d^4\,e^3}{4}+\frac{441\,B\,a^5\,b^5\,d^6\,e}{2}+\frac{1323\,A\,a^5\,b^5\,d^5\,e^2}{2}+\frac{105\,B\,a^4\,b^6\,d^7}{4}+\frac{735\,A\,a^4\,b^6\,d^6\,e}{4}+15\,A\,a^3\,b^7\,d^7\right)+x^{12}\,\left(10\,B\,a^7\,b^3\,e^7+\frac{245\,B\,a^6\,b^4\,d\,e^6}{2}+\frac{35\,A\,a^6\,b^4\,e^7}{2}+441\,B\,a^5\,b^5\,d^2\,e^5+147\,A\,a^5\,b^5\,d\,e^6+\frac{1225\,B\,a^4\,b^6\,d^3\,e^4}{2}+\frac{735\,A\,a^4\,b^6\,d^2\,e^5}{2}+350\,B\,a^3\,b^7\,d^4\,e^3+350\,A\,a^3\,b^7\,d^3\,e^4+\frac{315\,B\,a^2\,b^8\,d^5\,e^2}{4}+\frac{525\,A\,a^2\,b^8\,d^4\,e^3}{4}+\frac{35\,B\,a\,b^9\,d^6\,e}{6}+\frac{35\,A\,a\,b^9\,d^5\,e^2}{2}+\frac{B\,b^{10}\,d^7}{12}+\frac{7\,A\,b^{10}\,d^6\,e}{12}\right)+x^4\,\left(\frac{21\,B\,a^{10}\,d^5\,e^2}{4}+\frac{35\,A\,a^{10}\,d^4\,e^3}{4}+\frac{35\,B\,a^9\,b\,d^6\,e}{2}+\frac{105\,A\,a^9\,b\,d^5\,e^2}{2}+\frac{45\,B\,a^8\,b^2\,d^7}{4}+\frac{315\,A\,a^8\,b^2\,d^6\,e}{4}+30\,A\,a^7\,b^3\,d^7\right)+x^{16}\,\left(\frac{15\,B\,a^3\,b^7\,e^7}{2}+\frac{315\,B\,a^2\,b^8\,d\,e^6}{16}+\frac{45\,A\,a^2\,b^8\,e^7}{16}+\frac{105\,B\,a\,b^9\,d^2\,e^5}{8}+\frac{35\,A\,a\,b^9\,d\,e^6}{8}+\frac{35\,B\,b^{10}\,d^3\,e^4}{16}+\frac{21\,A\,b^{10}\,d^2\,e^5}{16}\right)+x^{10}\,\left(B\,a^9\,b\,e^7+\frac{63\,B\,a^8\,b^2\,d\,e^6}{2}+\frac{9\,A\,a^8\,b^2\,e^7}{2}+252\,B\,a^7\,b^3\,d^2\,e^5+84\,A\,a^7\,b^3\,d\,e^6+735\,B\,a^6\,b^4\,d^3\,e^4+441\,A\,a^6\,b^4\,d^2\,e^5+882\,B\,a^5\,b^5\,d^4\,e^3+882\,A\,a^5\,b^5\,d^3\,e^4+441\,B\,a^4\,b^6\,d^5\,e^2+735\,A\,a^4\,b^6\,d^4\,e^3+84\,B\,a^3\,b^7\,d^6\,e+252\,A\,a^3\,b^7\,d^5\,e^2+\frac{9\,B\,a^2\,b^8\,d^7}{2}+\frac{63\,A\,a^2\,b^8\,d^6\,e}{2}+A\,a\,b^9\,d^7\right)+\frac{a^9\,d^6\,x^2\,\left(7\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^6\,x^{18}\,\left(A\,b\,e+10\,B\,a\,e+7\,B\,b\,d\right)}{18}+A\,a^{10}\,d^7\,x+\frac{a^8\,d^5\,x^3\,\left(7\,B\,a^2\,d\,e+21\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+70\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^5\,x^{17}\,\left(45\,B\,a^2\,e^2+70\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+21\,B\,b^2\,d^2+7\,A\,b^2\,d\,e\right)}{17}+\frac{B\,b^{10}\,e^7\,x^{19}}{19}","Not used",1,"x^5*(42*A*a^6*b^4*d^7 + 24*B*a^7*b^3*d^7 + 7*A*a^10*d^3*e^4 + 7*B*a^10*d^4*e^3 + 168*A*a^7*b^3*d^6*e + 70*A*a^9*b*d^4*e^3 + 63*B*a^8*b^2*d^6*e + 42*B*a^9*b*d^5*e^2 + 189*A*a^8*b^2*d^5*e^2) + x^15*(8*A*a^3*b^7*e^7 + 14*B*a^4*b^6*e^7 + (7*A*b^10*d^3*e^4)/3 + (7*B*b^10*d^4*e^3)/3 + 14*A*a*b^9*d^2*e^5 + 21*A*a^2*b^8*d*e^6 + (70*B*a*b^9*d^3*e^4)/3 + 56*B*a^3*b^7*d*e^6 + 63*B*a^2*b^8*d^2*e^5) + x^9*((B*a^10*e^7)/9 + (10*A*a^9*b*e^7)/9 + 5*A*a^2*b^8*d^7 + (40*B*a^3*b^7*d^7)/3 + (280*A*a^3*b^7*d^6*e)/3 + 35*A*a^8*b^2*d*e^6 + (490*B*a^4*b^6*d^6*e)/3 + 490*A*a^4*b^6*d^5*e^2 + 980*A*a^5*b^5*d^4*e^3 + (2450*A*a^6*b^4*d^3*e^4)/3 + 280*A*a^7*b^3*d^2*e^5 + 588*B*a^5*b^5*d^5*e^2 + (2450*B*a^6*b^4*d^4*e^3)/3 + (1400*B*a^7*b^3*d^3*e^4)/3 + 105*B*a^8*b^2*d^2*e^5 + (70*B*a^9*b*d*e^6)/9) + x^11*((A*b^10*d^7)/11 + (10*B*a*b^9*d^7)/11 + (120*A*a^7*b^3*e^7)/11 + (45*B*a^8*b^2*e^7)/11 + (1470*A*a^6*b^4*d*e^6)/11 + (315*B*a^2*b^8*d^6*e)/11 + (840*B*a^7*b^3*d*e^6)/11 + (945*A*a^2*b^8*d^5*e^2)/11 + (4200*A*a^3*b^7*d^4*e^3)/11 + (7350*A*a^4*b^6*d^3*e^4)/11 + (5292*A*a^5*b^5*d^2*e^5)/11 + (2520*B*a^3*b^7*d^5*e^2)/11 + (7350*B*a^4*b^6*d^4*e^3)/11 + (8820*B*a^5*b^5*d^3*e^4)/11 + (4410*B*a^6*b^4*d^2*e^5)/11 + (70*A*a*b^9*d^6*e)/11) + x^7*(A*a^10*d*e^6 + 30*A*a^4*b^6*d^7 + 36*B*a^5*b^5*d^7 + 3*B*a^10*d^2*e^5 + 252*A*a^5*b^5*d^6*e + 30*A*a^9*b*d^2*e^5 + 210*B*a^6*b^4*d^6*e + 50*B*a^9*b*d^3*e^4 + 630*A*a^6*b^4*d^5*e^2 + 600*A*a^7*b^3*d^4*e^3 + 225*A*a^8*b^2*d^3*e^4 + 360*B*a^7*b^3*d^5*e^2 + 225*B*a^8*b^2*d^4*e^3) + x^13*((7*B*b^10*d^6*e)/13 + (252*A*a^5*b^5*e^7)/13 + (210*B*a^6*b^4*e^7)/13 + (21*A*b^10*d^5*e^2)/13 + (350*A*a*b^9*d^4*e^3)/13 + (1470*A*a^4*b^6*d*e^6)/13 + (210*B*a*b^9*d^5*e^2)/13 + (1764*B*a^5*b^5*d*e^6)/13 + (1575*A*a^2*b^8*d^3*e^4)/13 + (2520*A*a^3*b^7*d^2*e^5)/13 + (1575*B*a^2*b^8*d^4*e^3)/13 + (4200*B*a^3*b^7*d^3*e^4)/13 + (4410*B*a^4*b^6*d^2*e^5)/13) + x^6*(42*A*a^5*b^5*d^7 + 35*B*a^6*b^4*d^7 + (7*A*a^10*d^2*e^5)/2 + (35*B*a^10*d^3*e^4)/6 + 245*A*a^6*b^4*d^6*e + (175*A*a^9*b*d^3*e^4)/3 + 140*B*a^7*b^3*d^6*e + (175*B*a^9*b*d^4*e^3)/3 + 420*A*a^7*b^3*d^5*e^2 + (525*A*a^8*b^2*d^4*e^3)/2 + (315*B*a^8*b^2*d^5*e^2)/2) + x^14*(15*A*a^4*b^6*e^7 + 18*B*a^5*b^5*e^7 + (5*A*b^10*d^4*e^3)/2 + (3*B*b^10*d^5*e^2)/2 + 25*A*a*b^9*d^3*e^4 + 60*A*a^3*b^7*d*e^6 + 25*B*a*b^9*d^4*e^3 + 105*B*a^4*b^6*d*e^6 + (135*A*a^2*b^8*d^2*e^5)/2 + (225*B*a^2*b^8*d^3*e^4)/2 + 180*B*a^3*b^7*d^2*e^5) + x^8*((A*a^10*e^7)/8 + (7*B*a^10*d*e^6)/8 + 15*A*a^3*b^7*d^7 + (105*B*a^4*b^6*d^7)/4 + (735*A*a^4*b^6*d^6*e)/4 + (441*B*a^5*b^5*d^6*e)/2 + (105*B*a^9*b*d^2*e^5)/4 + (1323*A*a^5*b^5*d^5*e^2)/2 + (3675*A*a^6*b^4*d^4*e^3)/4 + 525*A*a^7*b^3*d^3*e^4 + (945*A*a^8*b^2*d^2*e^5)/8 + (2205*B*a^6*b^4*d^5*e^2)/4 + 525*B*a^7*b^3*d^4*e^3 + (1575*B*a^8*b^2*d^3*e^4)/8 + (35*A*a^9*b*d*e^6)/4) + x^12*((B*b^10*d^7)/12 + (7*A*b^10*d^6*e)/12 + (35*A*a^6*b^4*e^7)/2 + 10*B*a^7*b^3*e^7 + (35*A*a*b^9*d^5*e^2)/2 + 147*A*a^5*b^5*d*e^6 + (245*B*a^6*b^4*d*e^6)/2 + (525*A*a^2*b^8*d^4*e^3)/4 + 350*A*a^3*b^7*d^3*e^4 + (735*A*a^4*b^6*d^2*e^5)/2 + (315*B*a^2*b^8*d^5*e^2)/4 + 350*B*a^3*b^7*d^4*e^3 + (1225*B*a^4*b^6*d^3*e^4)/2 + 441*B*a^5*b^5*d^2*e^5 + (35*B*a*b^9*d^6*e)/6) + x^4*(30*A*a^7*b^3*d^7 + (45*B*a^8*b^2*d^7)/4 + (35*A*a^10*d^4*e^3)/4 + (21*B*a^10*d^5*e^2)/4 + (315*A*a^8*b^2*d^6*e)/4 + (105*A*a^9*b*d^5*e^2)/2 + (35*B*a^9*b*d^6*e)/2) + x^16*((45*A*a^2*b^8*e^7)/16 + (15*B*a^3*b^7*e^7)/2 + (21*A*b^10*d^2*e^5)/16 + (35*B*b^10*d^3*e^4)/16 + (105*B*a*b^9*d^2*e^5)/8 + (315*B*a^2*b^8*d*e^6)/16 + (35*A*a*b^9*d*e^6)/8) + x^10*(A*a*b^9*d^7 + B*a^9*b*e^7 + (9*A*a^8*b^2*e^7)/2 + (9*B*a^2*b^8*d^7)/2 + (63*A*a^2*b^8*d^6*e)/2 + 84*A*a^7*b^3*d*e^6 + 84*B*a^3*b^7*d^6*e + (63*B*a^8*b^2*d*e^6)/2 + 252*A*a^3*b^7*d^5*e^2 + 735*A*a^4*b^6*d^4*e^3 + 882*A*a^5*b^5*d^3*e^4 + 441*A*a^6*b^4*d^2*e^5 + 441*B*a^4*b^6*d^5*e^2 + 882*B*a^5*b^5*d^4*e^3 + 735*B*a^6*b^4*d^3*e^4 + 252*B*a^7*b^3*d^2*e^5) + (a^9*d^6*x^2*(7*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^6*x^18*(A*b*e + 10*B*a*e + 7*B*b*d))/18 + A*a^10*d^7*x + (a^8*d^5*x^3*(21*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 7*B*a^2*d*e + 70*A*a*b*d*e))/3 + (b^8*e^5*x^17*(45*B*a^2*e^2 + 21*B*b^2*d^2 + 10*A*a*b*e^2 + 7*A*b^2*d*e + 70*B*a*b*d*e))/17 + (B*b^10*e^7*x^19)/19","B"
1082,1,2001,290,1.735524,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^6,x)","x^6\,\left(\frac{5\,B\,a^{10}\,d^2\,e^4}{2}+A\,a^{10}\,d\,e^5+\frac{100\,B\,a^9\,b\,d^3\,e^3}{3}+25\,A\,a^9\,b\,d^2\,e^4+\frac{225\,B\,a^8\,b^2\,d^4\,e^2}{2}+150\,A\,a^8\,b^2\,d^3\,e^3+120\,B\,a^7\,b^3\,d^5\,e+300\,A\,a^7\,b^3\,d^4\,e^2+35\,B\,a^6\,b^4\,d^6+210\,A\,a^6\,b^4\,d^5\,e+42\,A\,a^5\,b^5\,d^6\right)+x^{13}\,\left(\frac{252\,B\,a^5\,b^5\,e^6}{13}+\frac{1260\,B\,a^4\,b^6\,d\,e^5}{13}+\frac{210\,A\,a^4\,b^6\,e^6}{13}+\frac{1800\,B\,a^3\,b^7\,d^2\,e^4}{13}+\frac{720\,A\,a^3\,b^7\,d\,e^5}{13}+\frac{900\,B\,a^2\,b^8\,d^3\,e^3}{13}+\frac{675\,A\,a^2\,b^8\,d^2\,e^4}{13}+\frac{150\,B\,a\,b^9\,d^4\,e^2}{13}+\frac{200\,A\,a\,b^9\,d^3\,e^3}{13}+\frac{6\,B\,b^{10}\,d^5\,e}{13}+\frac{15\,A\,b^{10}\,d^4\,e^2}{13}\right)+x^5\,\left(4\,B\,a^{10}\,d^3\,e^3+3\,A\,a^{10}\,d^2\,e^4+30\,B\,a^9\,b\,d^4\,e^2+40\,A\,a^9\,b\,d^3\,e^3+54\,B\,a^8\,b^2\,d^5\,e+135\,A\,a^8\,b^2\,d^4\,e^2+24\,B\,a^7\,b^3\,d^6+144\,A\,a^7\,b^3\,d^5\,e+42\,A\,a^6\,b^4\,d^6\right)+x^{14}\,\left(15\,B\,a^4\,b^6\,e^6+\frac{360\,B\,a^3\,b^7\,d\,e^5}{7}+\frac{60\,A\,a^3\,b^7\,e^6}{7}+\frac{675\,B\,a^2\,b^8\,d^2\,e^4}{14}+\frac{135\,A\,a^2\,b^8\,d\,e^5}{7}+\frac{100\,B\,a\,b^9\,d^3\,e^3}{7}+\frac{75\,A\,a\,b^9\,d^2\,e^4}{7}+\frac{15\,B\,b^{10}\,d^4\,e^2}{14}+\frac{10\,A\,b^{10}\,d^3\,e^3}{7}\right)+x^7\,\left(\frac{6\,B\,a^{10}\,d\,e^5}{7}+\frac{A\,a^{10}\,e^6}{7}+\frac{150\,B\,a^9\,b\,d^2\,e^4}{7}+\frac{60\,A\,a^9\,b\,d\,e^5}{7}+\frac{900\,B\,a^8\,b^2\,d^3\,e^3}{7}+\frac{675\,A\,a^8\,b^2\,d^2\,e^4}{7}+\frac{1800\,B\,a^7\,b^3\,d^4\,e^2}{7}+\frac{2400\,A\,a^7\,b^3\,d^3\,e^3}{7}+180\,B\,a^6\,b^4\,d^5\,e+450\,A\,a^6\,b^4\,d^4\,e^2+36\,B\,a^5\,b^5\,d^6+216\,A\,a^5\,b^5\,d^5\,e+30\,A\,a^4\,b^6\,d^6\right)+x^{12}\,\left(\frac{35\,B\,a^6\,b^4\,e^6}{2}+126\,B\,a^5\,b^5\,d\,e^5+21\,A\,a^5\,b^5\,e^6+\frac{525\,B\,a^4\,b^6\,d^2\,e^4}{2}+105\,A\,a^4\,b^6\,d\,e^5+200\,B\,a^3\,b^7\,d^3\,e^3+150\,A\,a^3\,b^7\,d^2\,e^4+\frac{225\,B\,a^2\,b^8\,d^4\,e^2}{4}+75\,A\,a^2\,b^8\,d^3\,e^3+5\,B\,a\,b^9\,d^5\,e+\frac{25\,A\,a\,b^9\,d^4\,e^2}{2}+\frac{B\,b^{10}\,d^6}{12}+\frac{A\,b^{10}\,d^5\,e}{2}\right)+x^4\,\left(\frac{15\,B\,a^{10}\,d^4\,e^2}{4}+5\,A\,a^{10}\,d^3\,e^3+15\,B\,a^9\,b\,d^5\,e+\frac{75\,A\,a^9\,b\,d^4\,e^2}{2}+\frac{45\,B\,a^8\,b^2\,d^6}{4}+\frac{135\,A\,a^8\,b^2\,d^5\,e}{2}+30\,A\,a^7\,b^3\,d^6\right)+x^{15}\,\left(8\,B\,a^3\,b^7\,e^6+18\,B\,a^2\,b^8\,d\,e^5+3\,A\,a^2\,b^8\,e^6+10\,B\,a\,b^9\,d^2\,e^4+4\,A\,a\,b^9\,d\,e^5+\frac{4\,B\,b^{10}\,d^3\,e^3}{3}+A\,b^{10}\,d^2\,e^4\right)+x^8\,\left(\frac{B\,a^{10}\,e^6}{8}+\frac{15\,B\,a^9\,b\,d\,e^5}{2}+\frac{5\,A\,a^9\,b\,e^6}{4}+\frac{675\,B\,a^8\,b^2\,d^2\,e^4}{8}+\frac{135\,A\,a^8\,b^2\,d\,e^5}{4}+300\,B\,a^7\,b^3\,d^3\,e^3+225\,A\,a^7\,b^3\,d^2\,e^4+\frac{1575\,B\,a^6\,b^4\,d^4\,e^2}{4}+525\,A\,a^6\,b^4\,d^3\,e^3+189\,B\,a^5\,b^5\,d^5\,e+\frac{945\,A\,a^5\,b^5\,d^4\,e^2}{2}+\frac{105\,B\,a^4\,b^6\,d^6}{4}+\frac{315\,A\,a^4\,b^6\,d^5\,e}{2}+15\,A\,a^3\,b^7\,d^6\right)+x^{11}\,\left(\frac{120\,B\,a^7\,b^3\,e^6}{11}+\frac{1260\,B\,a^6\,b^4\,d\,e^5}{11}+\frac{210\,A\,a^6\,b^4\,e^6}{11}+\frac{3780\,B\,a^5\,b^5\,d^2\,e^4}{11}+\frac{1512\,A\,a^5\,b^5\,d\,e^5}{11}+\frac{4200\,B\,a^4\,b^6\,d^3\,e^3}{11}+\frac{3150\,A\,a^4\,b^6\,d^2\,e^4}{11}+\frac{1800\,B\,a^3\,b^7\,d^4\,e^2}{11}+\frac{2400\,A\,a^3\,b^7\,d^3\,e^3}{11}+\frac{270\,B\,a^2\,b^8\,d^5\,e}{11}+\frac{675\,A\,a^2\,b^8\,d^4\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^6}{11}+\frac{60\,A\,a\,b^9\,d^5\,e}{11}+\frac{A\,b^{10}\,d^6}{11}\right)+x^{10}\,\left(\frac{9\,B\,a^8\,b^2\,e^6}{2}+72\,B\,a^7\,b^3\,d\,e^5+12\,A\,a^7\,b^3\,e^6+315\,B\,a^6\,b^4\,d^2\,e^4+126\,A\,a^6\,b^4\,d\,e^5+504\,B\,a^5\,b^5\,d^3\,e^3+378\,A\,a^5\,b^5\,d^2\,e^4+315\,B\,a^4\,b^6\,d^4\,e^2+420\,A\,a^4\,b^6\,d^3\,e^3+72\,B\,a^3\,b^7\,d^5\,e+180\,A\,a^3\,b^7\,d^4\,e^2+\frac{9\,B\,a^2\,b^8\,d^6}{2}+27\,A\,a^2\,b^8\,d^5\,e+A\,a\,b^9\,d^6\right)+x^9\,\left(\frac{10\,B\,a^9\,b\,e^6}{9}+30\,B\,a^8\,b^2\,d\,e^5+5\,A\,a^8\,b^2\,e^6+200\,B\,a^7\,b^3\,d^2\,e^4+80\,A\,a^7\,b^3\,d\,e^5+\frac{1400\,B\,a^6\,b^4\,d^3\,e^3}{3}+350\,A\,a^6\,b^4\,d^2\,e^4+420\,B\,a^5\,b^5\,d^4\,e^2+560\,A\,a^5\,b^5\,d^3\,e^3+140\,B\,a^4\,b^6\,d^5\,e+350\,A\,a^4\,b^6\,d^4\,e^2+\frac{40\,B\,a^3\,b^7\,d^6}{3}+80\,A\,a^3\,b^7\,d^5\,e+5\,A\,a^2\,b^8\,d^6\right)+\frac{a^9\,d^5\,x^2\,\left(6\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^5\,x^{17}\,\left(A\,b\,e+10\,B\,a\,e+6\,B\,b\,d\right)}{17}+A\,a^{10}\,d^6\,x+\frac{a^8\,d^4\,x^3\,\left(6\,B\,a^2\,d\,e+15\,A\,a^2\,e^2+10\,B\,a\,b\,d^2+60\,A\,a\,b\,d\,e+45\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^4\,x^{16}\,\left(45\,B\,a^2\,e^2+60\,B\,a\,b\,d\,e+10\,A\,a\,b\,e^2+15\,B\,b^2\,d^2+6\,A\,b^2\,d\,e\right)}{16}+\frac{B\,b^{10}\,e^6\,x^{18}}{18}","Not used",1,"x^6*(A*a^10*d*e^5 + 42*A*a^5*b^5*d^6 + 35*B*a^6*b^4*d^6 + (5*B*a^10*d^2*e^4)/2 + 210*A*a^6*b^4*d^5*e + 25*A*a^9*b*d^2*e^4 + 120*B*a^7*b^3*d^5*e + (100*B*a^9*b*d^3*e^3)/3 + 300*A*a^7*b^3*d^4*e^2 + 150*A*a^8*b^2*d^3*e^3 + (225*B*a^8*b^2*d^4*e^2)/2) + x^13*((6*B*b^10*d^5*e)/13 + (210*A*a^4*b^6*e^6)/13 + (252*B*a^5*b^5*e^6)/13 + (15*A*b^10*d^4*e^2)/13 + (200*A*a*b^9*d^3*e^3)/13 + (720*A*a^3*b^7*d*e^5)/13 + (150*B*a*b^9*d^4*e^2)/13 + (1260*B*a^4*b^6*d*e^5)/13 + (675*A*a^2*b^8*d^2*e^4)/13 + (900*B*a^2*b^8*d^3*e^3)/13 + (1800*B*a^3*b^7*d^2*e^4)/13) + x^5*(42*A*a^6*b^4*d^6 + 24*B*a^7*b^3*d^6 + 3*A*a^10*d^2*e^4 + 4*B*a^10*d^3*e^3 + 144*A*a^7*b^3*d^5*e + 40*A*a^9*b*d^3*e^3 + 54*B*a^8*b^2*d^5*e + 30*B*a^9*b*d^4*e^2 + 135*A*a^8*b^2*d^4*e^2) + x^14*((60*A*a^3*b^7*e^6)/7 + 15*B*a^4*b^6*e^6 + (10*A*b^10*d^3*e^3)/7 + (15*B*b^10*d^4*e^2)/14 + (75*A*a*b^9*d^2*e^4)/7 + (135*A*a^2*b^8*d*e^5)/7 + (100*B*a*b^9*d^3*e^3)/7 + (360*B*a^3*b^7*d*e^5)/7 + (675*B*a^2*b^8*d^2*e^4)/14) + x^7*((A*a^10*e^6)/7 + (6*B*a^10*d*e^5)/7 + 30*A*a^4*b^6*d^6 + 36*B*a^5*b^5*d^6 + 216*A*a^5*b^5*d^5*e + 180*B*a^6*b^4*d^5*e + (150*B*a^9*b*d^2*e^4)/7 + 450*A*a^6*b^4*d^4*e^2 + (2400*A*a^7*b^3*d^3*e^3)/7 + (675*A*a^8*b^2*d^2*e^4)/7 + (1800*B*a^7*b^3*d^4*e^2)/7 + (900*B*a^8*b^2*d^3*e^3)/7 + (60*A*a^9*b*d*e^5)/7) + x^12*((B*b^10*d^6)/12 + (A*b^10*d^5*e)/2 + 21*A*a^5*b^5*e^6 + (35*B*a^6*b^4*e^6)/2 + (25*A*a*b^9*d^4*e^2)/2 + 105*A*a^4*b^6*d*e^5 + 126*B*a^5*b^5*d*e^5 + 75*A*a^2*b^8*d^3*e^3 + 150*A*a^3*b^7*d^2*e^4 + (225*B*a^2*b^8*d^4*e^2)/4 + 200*B*a^3*b^7*d^3*e^3 + (525*B*a^4*b^6*d^2*e^4)/2 + 5*B*a*b^9*d^5*e) + x^4*(30*A*a^7*b^3*d^6 + (45*B*a^8*b^2*d^6)/4 + 5*A*a^10*d^3*e^3 + (15*B*a^10*d^4*e^2)/4 + (135*A*a^8*b^2*d^5*e)/2 + (75*A*a^9*b*d^4*e^2)/2 + 15*B*a^9*b*d^5*e) + x^15*(3*A*a^2*b^8*e^6 + 8*B*a^3*b^7*e^6 + A*b^10*d^2*e^4 + (4*B*b^10*d^3*e^3)/3 + 10*B*a*b^9*d^2*e^4 + 18*B*a^2*b^8*d*e^5 + 4*A*a*b^9*d*e^5) + x^8*((B*a^10*e^6)/8 + (5*A*a^9*b*e^6)/4 + 15*A*a^3*b^7*d^6 + (105*B*a^4*b^6*d^6)/4 + (315*A*a^4*b^6*d^5*e)/2 + (135*A*a^8*b^2*d*e^5)/4 + 189*B*a^5*b^5*d^5*e + (945*A*a^5*b^5*d^4*e^2)/2 + 525*A*a^6*b^4*d^3*e^3 + 225*A*a^7*b^3*d^2*e^4 + (1575*B*a^6*b^4*d^4*e^2)/4 + 300*B*a^7*b^3*d^3*e^3 + (675*B*a^8*b^2*d^2*e^4)/8 + (15*B*a^9*b*d*e^5)/2) + x^11*((A*b^10*d^6)/11 + (10*B*a*b^9*d^6)/11 + (210*A*a^6*b^4*e^6)/11 + (120*B*a^7*b^3*e^6)/11 + (1512*A*a^5*b^5*d*e^5)/11 + (270*B*a^2*b^8*d^5*e)/11 + (1260*B*a^6*b^4*d*e^5)/11 + (675*A*a^2*b^8*d^4*e^2)/11 + (2400*A*a^3*b^7*d^3*e^3)/11 + (3150*A*a^4*b^6*d^2*e^4)/11 + (1800*B*a^3*b^7*d^4*e^2)/11 + (4200*B*a^4*b^6*d^3*e^3)/11 + (3780*B*a^5*b^5*d^2*e^4)/11 + (60*A*a*b^9*d^5*e)/11) + x^10*(A*a*b^9*d^6 + 12*A*a^7*b^3*e^6 + (9*B*a^2*b^8*d^6)/2 + (9*B*a^8*b^2*e^6)/2 + 27*A*a^2*b^8*d^5*e + 126*A*a^6*b^4*d*e^5 + 72*B*a^3*b^7*d^5*e + 72*B*a^7*b^3*d*e^5 + 180*A*a^3*b^7*d^4*e^2 + 420*A*a^4*b^6*d^3*e^3 + 378*A*a^5*b^5*d^2*e^4 + 315*B*a^4*b^6*d^4*e^2 + 504*B*a^5*b^5*d^3*e^3 + 315*B*a^6*b^4*d^2*e^4) + x^9*((10*B*a^9*b*e^6)/9 + 5*A*a^2*b^8*d^6 + 5*A*a^8*b^2*e^6 + (40*B*a^3*b^7*d^6)/3 + 80*A*a^3*b^7*d^5*e + 80*A*a^7*b^3*d*e^5 + 140*B*a^4*b^6*d^5*e + 30*B*a^8*b^2*d*e^5 + 350*A*a^4*b^6*d^4*e^2 + 560*A*a^5*b^5*d^3*e^3 + 350*A*a^6*b^4*d^2*e^4 + 420*B*a^5*b^5*d^4*e^2 + (1400*B*a^6*b^4*d^3*e^3)/3 + 200*B*a^7*b^3*d^2*e^4) + (a^9*d^5*x^2*(6*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^5*x^17*(A*b*e + 10*B*a*e + 6*B*b*d))/17 + A*a^10*d^6*x + (a^8*d^4*x^3*(15*A*a^2*e^2 + 45*A*b^2*d^2 + 10*B*a*b*d^2 + 6*B*a^2*d*e + 60*A*a*b*d*e))/3 + (b^8*e^4*x^16*(45*B*a^2*e^2 + 15*B*b^2*d^2 + 10*A*a*b*e^2 + 6*A*b^2*d*e + 60*B*a*b*d*e))/16 + (B*b^10*e^6*x^18)/18","B"
1083,1,1685,243,1.618747,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^5,x)","x^9\,\left(5\,B\,a^8\,b^2\,e^5+\frac{200\,B\,a^7\,b^3\,d\,e^4}{3}+\frac{40\,A\,a^7\,b^3\,e^5}{3}+\frac{700\,B\,a^6\,b^4\,d^2\,e^3}{3}+\frac{350\,A\,a^6\,b^4\,d\,e^4}{3}+280\,B\,a^5\,b^5\,d^3\,e^2+280\,A\,a^5\,b^5\,d^2\,e^3+\frac{350\,B\,a^4\,b^6\,d^4\,e}{3}+\frac{700\,A\,a^4\,b^6\,d^3\,e^2}{3}+\frac{40\,B\,a^3\,b^7\,d^5}{3}+\frac{200\,A\,a^3\,b^7\,d^4\,e}{3}+5\,A\,a^2\,b^8\,d^5\right)+x^7\,\left(\frac{B\,a^{10}\,e^5}{7}+\frac{50\,B\,a^9\,b\,d\,e^4}{7}+\frac{10\,A\,a^9\,b\,e^5}{7}+\frac{450\,B\,a^8\,b^2\,d^2\,e^3}{7}+\frac{225\,A\,a^8\,b^2\,d\,e^4}{7}+\frac{1200\,B\,a^7\,b^3\,d^3\,e^2}{7}+\frac{1200\,A\,a^7\,b^3\,d^2\,e^3}{7}+150\,B\,a^6\,b^4\,d^4\,e+300\,A\,a^6\,b^4\,d^3\,e^2+36\,B\,a^5\,b^5\,d^5+180\,A\,a^5\,b^5\,d^4\,e+30\,A\,a^4\,b^6\,d^5\right)+x^{11}\,\left(\frac{210\,B\,a^6\,b^4\,e^5}{11}+\frac{1260\,B\,a^5\,b^5\,d\,e^4}{11}+\frac{252\,A\,a^5\,b^5\,e^5}{11}+\frac{2100\,B\,a^4\,b^6\,d^2\,e^3}{11}+\frac{1050\,A\,a^4\,b^6\,d\,e^4}{11}+\frac{1200\,B\,a^3\,b^7\,d^3\,e^2}{11}+\frac{1200\,A\,a^3\,b^7\,d^2\,e^3}{11}+\frac{225\,B\,a^2\,b^8\,d^4\,e}{11}+\frac{450\,A\,a^2\,b^8\,d^3\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^5}{11}+\frac{50\,A\,a\,b^9\,d^4\,e}{11}+\frac{A\,b^{10}\,d^5}{11}\right)+x^{10}\,\left(12\,B\,a^7\,b^3\,e^5+105\,B\,a^6\,b^4\,d\,e^4+21\,A\,a^6\,b^4\,e^5+252\,B\,a^5\,b^5\,d^2\,e^3+126\,A\,a^5\,b^5\,d\,e^4+210\,B\,a^4\,b^6\,d^3\,e^2+210\,A\,a^4\,b^6\,d^2\,e^3+60\,B\,a^3\,b^7\,d^4\,e+120\,A\,a^3\,b^7\,d^3\,e^2+\frac{9\,B\,a^2\,b^8\,d^5}{2}+\frac{45\,A\,a^2\,b^8\,d^4\,e}{2}+A\,a\,b^9\,d^5\right)+x^8\,\left(\frac{5\,B\,a^9\,b\,e^5}{4}+\frac{225\,B\,a^8\,b^2\,d\,e^4}{8}+\frac{45\,A\,a^8\,b^2\,e^5}{8}+150\,B\,a^7\,b^3\,d^2\,e^3+75\,A\,a^7\,b^3\,d\,e^4+\frac{525\,B\,a^6\,b^4\,d^3\,e^2}{2}+\frac{525\,A\,a^6\,b^4\,d^2\,e^3}{2}+\frac{315\,B\,a^5\,b^5\,d^4\,e}{2}+315\,A\,a^5\,b^5\,d^3\,e^2+\frac{105\,B\,a^4\,b^6\,d^5}{4}+\frac{525\,A\,a^4\,b^6\,d^4\,e}{4}+15\,A\,a^3\,b^7\,d^5\right)+x^5\,\left(2\,B\,a^{10}\,d^2\,e^3+A\,a^{10}\,d\,e^4+20\,B\,a^9\,b\,d^3\,e^2+20\,A\,a^9\,b\,d^2\,e^3+45\,B\,a^8\,b^2\,d^4\,e+90\,A\,a^8\,b^2\,d^3\,e^2+24\,B\,a^7\,b^3\,d^5+120\,A\,a^7\,b^3\,d^4\,e+42\,A\,a^6\,b^4\,d^5\right)+x^{13}\,\left(\frac{210\,B\,a^4\,b^6\,e^5}{13}+\frac{600\,B\,a^3\,b^7\,d\,e^4}{13}+\frac{120\,A\,a^3\,b^7\,e^5}{13}+\frac{450\,B\,a^2\,b^8\,d^2\,e^3}{13}+\frac{225\,A\,a^2\,b^8\,d\,e^4}{13}+\frac{100\,B\,a\,b^9\,d^3\,e^2}{13}+\frac{100\,A\,a\,b^9\,d^2\,e^3}{13}+\frac{5\,B\,b^{10}\,d^4\,e}{13}+\frac{10\,A\,b^{10}\,d^3\,e^2}{13}\right)+x^4\,\left(\frac{5\,B\,a^{10}\,d^3\,e^2}{2}+\frac{5\,A\,a^{10}\,d^2\,e^3}{2}+\frac{25\,B\,a^9\,b\,d^4\,e}{2}+25\,A\,a^9\,b\,d^3\,e^2+\frac{45\,B\,a^8\,b^2\,d^5}{4}+\frac{225\,A\,a^8\,b^2\,d^4\,e}{4}+30\,A\,a^7\,b^3\,d^5\right)+x^{14}\,\left(\frac{60\,B\,a^3\,b^7\,e^5}{7}+\frac{225\,B\,a^2\,b^8\,d\,e^4}{14}+\frac{45\,A\,a^2\,b^8\,e^5}{14}+\frac{50\,B\,a\,b^9\,d^2\,e^3}{7}+\frac{25\,A\,a\,b^9\,d\,e^4}{7}+\frac{5\,B\,b^{10}\,d^3\,e^2}{7}+\frac{5\,A\,b^{10}\,d^2\,e^3}{7}\right)+x^6\,\left(\frac{5\,B\,a^{10}\,d\,e^4}{6}+\frac{A\,a^{10}\,e^5}{6}+\frac{50\,B\,a^9\,b\,d^2\,e^3}{3}+\frac{25\,A\,a^9\,b\,d\,e^4}{3}+75\,B\,a^8\,b^2\,d^3\,e^2+75\,A\,a^8\,b^2\,d^2\,e^3+100\,B\,a^7\,b^3\,d^4\,e+200\,A\,a^7\,b^3\,d^3\,e^2+35\,B\,a^6\,b^4\,d^5+175\,A\,a^6\,b^4\,d^4\,e+42\,A\,a^5\,b^5\,d^5\right)+x^{12}\,\left(21\,B\,a^5\,b^5\,e^5+\frac{175\,B\,a^4\,b^6\,d\,e^4}{2}+\frac{35\,A\,a^4\,b^6\,e^5}{2}+100\,B\,a^3\,b^7\,d^2\,e^3+50\,A\,a^3\,b^7\,d\,e^4+\frac{75\,B\,a^2\,b^8\,d^3\,e^2}{2}+\frac{75\,A\,a^2\,b^8\,d^2\,e^3}{2}+\frac{25\,B\,a\,b^9\,d^4\,e}{6}+\frac{25\,A\,a\,b^9\,d^3\,e^2}{3}+\frac{B\,b^{10}\,d^5}{12}+\frac{5\,A\,b^{10}\,d^4\,e}{12}\right)+\frac{a^9\,d^4\,x^2\,\left(5\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^4\,x^{16}\,\left(A\,b\,e+10\,B\,a\,e+5\,B\,b\,d\right)}{16}+A\,a^{10}\,d^5\,x+\frac{5\,a^8\,d^3\,x^3\,\left(B\,a^2\,d\,e+2\,A\,a^2\,e^2+2\,B\,a\,b\,d^2+10\,A\,a\,b\,d\,e+9\,A\,b^2\,d^2\right)}{3}+\frac{b^8\,e^3\,x^{15}\,\left(9\,B\,a^2\,e^2+10\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+2\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{3}+\frac{B\,b^{10}\,e^5\,x^{17}}{17}","Not used",1,"x^9*(5*A*a^2*b^8*d^5 + (40*A*a^7*b^3*e^5)/3 + (40*B*a^3*b^7*d^5)/3 + 5*B*a^8*b^2*e^5 + (200*A*a^3*b^7*d^4*e)/3 + (350*A*a^6*b^4*d*e^4)/3 + (350*B*a^4*b^6*d^4*e)/3 + (200*B*a^7*b^3*d*e^4)/3 + (700*A*a^4*b^6*d^3*e^2)/3 + 280*A*a^5*b^5*d^2*e^3 + 280*B*a^5*b^5*d^3*e^2 + (700*B*a^6*b^4*d^2*e^3)/3) + x^7*((B*a^10*e^5)/7 + (10*A*a^9*b*e^5)/7 + 30*A*a^4*b^6*d^5 + 36*B*a^5*b^5*d^5 + 180*A*a^5*b^5*d^4*e + (225*A*a^8*b^2*d*e^4)/7 + 150*B*a^6*b^4*d^4*e + 300*A*a^6*b^4*d^3*e^2 + (1200*A*a^7*b^3*d^2*e^3)/7 + (1200*B*a^7*b^3*d^3*e^2)/7 + (450*B*a^8*b^2*d^2*e^3)/7 + (50*B*a^9*b*d*e^4)/7) + x^11*((A*b^10*d^5)/11 + (10*B*a*b^9*d^5)/11 + (252*A*a^5*b^5*e^5)/11 + (210*B*a^6*b^4*e^5)/11 + (1050*A*a^4*b^6*d*e^4)/11 + (225*B*a^2*b^8*d^4*e)/11 + (1260*B*a^5*b^5*d*e^4)/11 + (450*A*a^2*b^8*d^3*e^2)/11 + (1200*A*a^3*b^7*d^2*e^3)/11 + (1200*B*a^3*b^7*d^3*e^2)/11 + (2100*B*a^4*b^6*d^2*e^3)/11 + (50*A*a*b^9*d^4*e)/11) + x^10*(A*a*b^9*d^5 + 21*A*a^6*b^4*e^5 + (9*B*a^2*b^8*d^5)/2 + 12*B*a^7*b^3*e^5 + (45*A*a^2*b^8*d^4*e)/2 + 126*A*a^5*b^5*d*e^4 + 60*B*a^3*b^7*d^4*e + 105*B*a^6*b^4*d*e^4 + 120*A*a^3*b^7*d^3*e^2 + 210*A*a^4*b^6*d^2*e^3 + 210*B*a^4*b^6*d^3*e^2 + 252*B*a^5*b^5*d^2*e^3) + x^8*((5*B*a^9*b*e^5)/4 + 15*A*a^3*b^7*d^5 + (45*A*a^8*b^2*e^5)/8 + (105*B*a^4*b^6*d^5)/4 + (525*A*a^4*b^6*d^4*e)/4 + 75*A*a^7*b^3*d*e^4 + (315*B*a^5*b^5*d^4*e)/2 + (225*B*a^8*b^2*d*e^4)/8 + 315*A*a^5*b^5*d^3*e^2 + (525*A*a^6*b^4*d^2*e^3)/2 + (525*B*a^6*b^4*d^3*e^2)/2 + 150*B*a^7*b^3*d^2*e^3) + x^5*(A*a^10*d*e^4 + 42*A*a^6*b^4*d^5 + 24*B*a^7*b^3*d^5 + 2*B*a^10*d^2*e^3 + 120*A*a^7*b^3*d^4*e + 20*A*a^9*b*d^2*e^3 + 45*B*a^8*b^2*d^4*e + 20*B*a^9*b*d^3*e^2 + 90*A*a^8*b^2*d^3*e^2) + x^13*((5*B*b^10*d^4*e)/13 + (120*A*a^3*b^7*e^5)/13 + (210*B*a^4*b^6*e^5)/13 + (10*A*b^10*d^3*e^2)/13 + (100*A*a*b^9*d^2*e^3)/13 + (225*A*a^2*b^8*d*e^4)/13 + (100*B*a*b^9*d^3*e^2)/13 + (600*B*a^3*b^7*d*e^4)/13 + (450*B*a^2*b^8*d^2*e^3)/13) + x^4*(30*A*a^7*b^3*d^5 + (45*B*a^8*b^2*d^5)/4 + (5*A*a^10*d^2*e^3)/2 + (5*B*a^10*d^3*e^2)/2 + (225*A*a^8*b^2*d^4*e)/4 + 25*A*a^9*b*d^3*e^2 + (25*B*a^9*b*d^4*e)/2) + x^14*((45*A*a^2*b^8*e^5)/14 + (60*B*a^3*b^7*e^5)/7 + (5*A*b^10*d^2*e^3)/7 + (5*B*b^10*d^3*e^2)/7 + (50*B*a*b^9*d^2*e^3)/7 + (225*B*a^2*b^8*d*e^4)/14 + (25*A*a*b^9*d*e^4)/7) + x^6*((A*a^10*e^5)/6 + (5*B*a^10*d*e^4)/6 + 42*A*a^5*b^5*d^5 + 35*B*a^6*b^4*d^5 + 175*A*a^6*b^4*d^4*e + 100*B*a^7*b^3*d^4*e + (50*B*a^9*b*d^2*e^3)/3 + 200*A*a^7*b^3*d^3*e^2 + 75*A*a^8*b^2*d^2*e^3 + 75*B*a^8*b^2*d^3*e^2 + (25*A*a^9*b*d*e^4)/3) + x^12*((B*b^10*d^5)/12 + (5*A*b^10*d^4*e)/12 + (35*A*a^4*b^6*e^5)/2 + 21*B*a^5*b^5*e^5 + (25*A*a*b^9*d^3*e^2)/3 + 50*A*a^3*b^7*d*e^4 + (175*B*a^4*b^6*d*e^4)/2 + (75*A*a^2*b^8*d^2*e^3)/2 + (75*B*a^2*b^8*d^3*e^2)/2 + 100*B*a^3*b^7*d^2*e^3 + (25*B*a*b^9*d^4*e)/6) + (a^9*d^4*x^2*(5*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^4*x^16*(A*b*e + 10*B*a*e + 5*B*b*d))/16 + A*a^10*d^5*x + (5*a^8*d^3*x^3*(2*A*a^2*e^2 + 9*A*b^2*d^2 + 2*B*a*b*d^2 + B*a^2*d*e + 10*A*a*b*d*e))/3 + (b^8*e^3*x^15*(9*B*a^2*e^2 + 2*B*b^2*d^2 + 2*A*a*b*e^2 + A*b^2*d*e + 10*B*a*b*d*e))/3 + (B*b^10*e^5*x^17)/17","B"
1084,1,1386,204,0.529961,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^4,x)","x^6\,\left(\frac{B\,a^{10}\,e^4}{6}+\frac{20\,B\,a^9\,b\,d\,e^3}{3}+\frac{5\,A\,a^9\,b\,e^4}{3}+45\,B\,a^8\,b^2\,d^2\,e^2+30\,A\,a^8\,b^2\,d\,e^3+80\,B\,a^7\,b^3\,d^3\,e+120\,A\,a^7\,b^3\,d^2\,e^2+35\,B\,a^6\,b^4\,d^4+140\,A\,a^6\,b^4\,d^3\,e+42\,A\,a^5\,b^5\,d^4\right)+x^{11}\,\left(\frac{252\,B\,a^5\,b^5\,e^4}{11}+\frac{840\,B\,a^4\,b^6\,d\,e^3}{11}+\frac{210\,A\,a^4\,b^6\,e^4}{11}+\frac{720\,B\,a^3\,b^7\,d^2\,e^2}{11}+\frac{480\,A\,a^3\,b^7\,d\,e^3}{11}+\frac{180\,B\,a^2\,b^8\,d^3\,e}{11}+\frac{270\,A\,a^2\,b^8\,d^2\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^4}{11}+\frac{40\,A\,a\,b^9\,d^3\,e}{11}+\frac{A\,b^{10}\,d^4}{11}\right)+x^{10}\,\left(21\,B\,a^6\,b^4\,e^4+\frac{504\,B\,a^5\,b^5\,d\,e^3}{5}+\frac{126\,A\,a^5\,b^5\,e^4}{5}+126\,B\,a^4\,b^6\,d^2\,e^2+84\,A\,a^4\,b^6\,d\,e^3+48\,B\,a^3\,b^7\,d^3\,e+72\,A\,a^3\,b^7\,d^2\,e^2+\frac{9\,B\,a^2\,b^8\,d^4}{2}+18\,A\,a^2\,b^8\,d^3\,e+A\,a\,b^9\,d^4\right)+x^7\,\left(\frac{10\,B\,a^9\,b\,e^4}{7}+\frac{180\,B\,a^8\,b^2\,d\,e^3}{7}+\frac{45\,A\,a^8\,b^2\,e^4}{7}+\frac{720\,B\,a^7\,b^3\,d^2\,e^2}{7}+\frac{480\,A\,a^7\,b^3\,d\,e^3}{7}+120\,B\,a^6\,b^4\,d^3\,e+180\,A\,a^6\,b^4\,d^2\,e^2+36\,B\,a^5\,b^5\,d^4+144\,A\,a^5\,b^5\,d^3\,e+30\,A\,a^4\,b^6\,d^4\right)+x^4\,\left(\frac{3\,B\,a^{10}\,d^2\,e^2}{2}+A\,a^{10}\,d\,e^3+10\,B\,a^9\,b\,d^3\,e+15\,A\,a^9\,b\,d^2\,e^2+\frac{45\,B\,a^8\,b^2\,d^4}{4}+45\,A\,a^8\,b^2\,d^3\,e+30\,A\,a^7\,b^3\,d^4\right)+x^{13}\,\left(\frac{120\,B\,a^3\,b^7\,e^4}{13}+\frac{180\,B\,a^2\,b^8\,d\,e^3}{13}+\frac{45\,A\,a^2\,b^8\,e^4}{13}+\frac{60\,B\,a\,b^9\,d^2\,e^2}{13}+\frac{40\,A\,a\,b^9\,d\,e^3}{13}+\frac{4\,B\,b^{10}\,d^3\,e}{13}+\frac{6\,A\,b^{10}\,d^2\,e^2}{13}\right)+x^3\,\left(\frac{4\,B\,a^{10}\,d^3\,e}{3}+2\,A\,a^{10}\,d^2\,e^2+\frac{10\,B\,a^9\,b\,d^4}{3}+\frac{40\,A\,a^9\,b\,d^3\,e}{3}+15\,A\,a^8\,b^2\,d^4\right)+x^{14}\,\left(\frac{45\,B\,a^2\,b^8\,e^4}{14}+\frac{20\,B\,a\,b^9\,d\,e^3}{7}+\frac{5\,A\,a\,b^9\,e^4}{7}+\frac{3\,B\,b^{10}\,d^2\,e^2}{7}+\frac{2\,A\,b^{10}\,d\,e^3}{7}\right)+x^5\,\left(\frac{4\,B\,a^{10}\,d\,e^3}{5}+\frac{A\,a^{10}\,e^4}{5}+12\,B\,a^9\,b\,d^2\,e^2+8\,A\,a^9\,b\,d\,e^3+36\,B\,a^8\,b^2\,d^3\,e+54\,A\,a^8\,b^2\,d^2\,e^2+24\,B\,a^7\,b^3\,d^4+96\,A\,a^7\,b^3\,d^3\,e+42\,A\,a^6\,b^4\,d^4\right)+x^{12}\,\left(\frac{35\,B\,a^4\,b^6\,e^4}{2}+40\,B\,a^3\,b^7\,d\,e^3+10\,A\,a^3\,b^7\,e^4+\frac{45\,B\,a^2\,b^8\,d^2\,e^2}{2}+15\,A\,a^2\,b^8\,d\,e^3+\frac{10\,B\,a\,b^9\,d^3\,e}{3}+5\,A\,a\,b^9\,d^2\,e^2+\frac{B\,b^{10}\,d^4}{12}+\frac{A\,b^{10}\,d^3\,e}{3}\right)+x^8\,\left(\frac{45\,B\,a^8\,b^2\,e^4}{8}+60\,B\,a^7\,b^3\,d\,e^3+15\,A\,a^7\,b^3\,e^4+\frac{315\,B\,a^6\,b^4\,d^2\,e^2}{2}+105\,A\,a^6\,b^4\,d\,e^3+126\,B\,a^5\,b^5\,d^3\,e+189\,A\,a^5\,b^5\,d^2\,e^2+\frac{105\,B\,a^4\,b^6\,d^4}{4}+105\,A\,a^4\,b^6\,d^3\,e+15\,A\,a^3\,b^7\,d^4\right)+x^9\,\left(\frac{40\,B\,a^7\,b^3\,e^4}{3}+\frac{280\,B\,a^6\,b^4\,d\,e^3}{3}+\frac{70\,A\,a^6\,b^4\,e^4}{3}+168\,B\,a^5\,b^5\,d^2\,e^2+112\,A\,a^5\,b^5\,d\,e^3+\frac{280\,B\,a^4\,b^6\,d^3\,e}{3}+140\,A\,a^4\,b^6\,d^2\,e^2+\frac{40\,B\,a^3\,b^7\,d^4}{3}+\frac{160\,A\,a^3\,b^7\,d^3\,e}{3}+5\,A\,a^2\,b^8\,d^4\right)+\frac{a^9\,d^3\,x^2\,\left(4\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^3\,x^{15}\,\left(A\,b\,e+10\,B\,a\,e+4\,B\,b\,d\right)}{15}+A\,a^{10}\,d^4\,x+\frac{B\,b^{10}\,e^4\,x^{16}}{16}","Not used",1,"x^6*((B*a^10*e^4)/6 + (5*A*a^9*b*e^4)/3 + 42*A*a^5*b^5*d^4 + 35*B*a^6*b^4*d^4 + 140*A*a^6*b^4*d^3*e + 30*A*a^8*b^2*d*e^3 + 80*B*a^7*b^3*d^3*e + 120*A*a^7*b^3*d^2*e^2 + 45*B*a^8*b^2*d^2*e^2 + (20*B*a^9*b*d*e^3)/3) + x^11*((A*b^10*d^4)/11 + (10*B*a*b^9*d^4)/11 + (210*A*a^4*b^6*e^4)/11 + (252*B*a^5*b^5*e^4)/11 + (480*A*a^3*b^7*d*e^3)/11 + (180*B*a^2*b^8*d^3*e)/11 + (840*B*a^4*b^6*d*e^3)/11 + (270*A*a^2*b^8*d^2*e^2)/11 + (720*B*a^3*b^7*d^2*e^2)/11 + (40*A*a*b^9*d^3*e)/11) + x^10*(A*a*b^9*d^4 + (126*A*a^5*b^5*e^4)/5 + (9*B*a^2*b^8*d^4)/2 + 21*B*a^6*b^4*e^4 + 18*A*a^2*b^8*d^3*e + 84*A*a^4*b^6*d*e^3 + 48*B*a^3*b^7*d^3*e + (504*B*a^5*b^5*d*e^3)/5 + 72*A*a^3*b^7*d^2*e^2 + 126*B*a^4*b^6*d^2*e^2) + x^7*((10*B*a^9*b*e^4)/7 + 30*A*a^4*b^6*d^4 + (45*A*a^8*b^2*e^4)/7 + 36*B*a^5*b^5*d^4 + 144*A*a^5*b^5*d^3*e + (480*A*a^7*b^3*d*e^3)/7 + 120*B*a^6*b^4*d^3*e + (180*B*a^8*b^2*d*e^3)/7 + 180*A*a^6*b^4*d^2*e^2 + (720*B*a^7*b^3*d^2*e^2)/7) + x^4*(A*a^10*d*e^3 + 30*A*a^7*b^3*d^4 + (45*B*a^8*b^2*d^4)/4 + (3*B*a^10*d^2*e^2)/2 + 45*A*a^8*b^2*d^3*e + 15*A*a^9*b*d^2*e^2 + 10*B*a^9*b*d^3*e) + x^13*((4*B*b^10*d^3*e)/13 + (45*A*a^2*b^8*e^4)/13 + (120*B*a^3*b^7*e^4)/13 + (6*A*b^10*d^2*e^2)/13 + (60*B*a*b^9*d^2*e^2)/13 + (180*B*a^2*b^8*d*e^3)/13 + (40*A*a*b^9*d*e^3)/13) + x^3*((10*B*a^9*b*d^4)/3 + (4*B*a^10*d^3*e)/3 + 15*A*a^8*b^2*d^4 + 2*A*a^10*d^2*e^2 + (40*A*a^9*b*d^3*e)/3) + x^14*((5*A*a*b^9*e^4)/7 + (2*A*b^10*d*e^3)/7 + (45*B*a^2*b^8*e^4)/14 + (3*B*b^10*d^2*e^2)/7 + (20*B*a*b^9*d*e^3)/7) + x^5*((A*a^10*e^4)/5 + (4*B*a^10*d*e^3)/5 + 42*A*a^6*b^4*d^4 + 24*B*a^7*b^3*d^4 + 96*A*a^7*b^3*d^3*e + 36*B*a^8*b^2*d^3*e + 12*B*a^9*b*d^2*e^2 + 54*A*a^8*b^2*d^2*e^2 + 8*A*a^9*b*d*e^3) + x^12*((B*b^10*d^4)/12 + (A*b^10*d^3*e)/3 + 10*A*a^3*b^7*e^4 + (35*B*a^4*b^6*e^4)/2 + 5*A*a*b^9*d^2*e^2 + 15*A*a^2*b^8*d*e^3 + 40*B*a^3*b^7*d*e^3 + (45*B*a^2*b^8*d^2*e^2)/2 + (10*B*a*b^9*d^3*e)/3) + x^8*(15*A*a^3*b^7*d^4 + 15*A*a^7*b^3*e^4 + (105*B*a^4*b^6*d^4)/4 + (45*B*a^8*b^2*e^4)/8 + 105*A*a^4*b^6*d^3*e + 105*A*a^6*b^4*d*e^3 + 126*B*a^5*b^5*d^3*e + 60*B*a^7*b^3*d*e^3 + 189*A*a^5*b^5*d^2*e^2 + (315*B*a^6*b^4*d^2*e^2)/2) + x^9*(5*A*a^2*b^8*d^4 + (70*A*a^6*b^4*e^4)/3 + (40*B*a^3*b^7*d^4)/3 + (40*B*a^7*b^3*e^4)/3 + (160*A*a^3*b^7*d^3*e)/3 + 112*A*a^5*b^5*d*e^3 + (280*B*a^4*b^6*d^3*e)/3 + (280*B*a^6*b^4*d*e^3)/3 + 140*A*a^4*b^6*d^2*e^2 + 168*B*a^5*b^5*d^2*e^2) + (a^9*d^3*x^2*(4*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^3*x^15*(A*b*e + 10*B*a*e + 4*B*b*d))/15 + A*a^10*d^4*x + (B*b^10*e^4*x^16)/16","B"
1085,1,1070,159,0.439093,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^3,x)","x^3\,\left(B\,a^{10}\,d^2\,e+A\,a^{10}\,d\,e^2+\frac{10\,B\,a^9\,b\,d^3}{3}+10\,A\,a^9\,b\,d^2\,e+15\,A\,a^8\,b^2\,d^3\right)+x^{13}\,\left(\frac{45\,B\,a^2\,b^8\,e^3}{13}+\frac{30\,B\,a\,b^9\,d\,e^2}{13}+\frac{10\,A\,a\,b^9\,e^3}{13}+\frac{3\,B\,b^{10}\,d^2\,e}{13}+\frac{3\,A\,b^{10}\,d\,e^2}{13}\right)+x^4\,\left(\frac{3\,B\,a^{10}\,d\,e^2}{4}+\frac{A\,a^{10}\,e^3}{4}+\frac{15\,B\,a^9\,b\,d^2\,e}{2}+\frac{15\,A\,a^9\,b\,d\,e^2}{2}+\frac{45\,B\,a^8\,b^2\,d^3}{4}+\frac{135\,A\,a^8\,b^2\,d^2\,e}{4}+30\,A\,a^7\,b^3\,d^3\right)+x^{12}\,\left(10\,B\,a^3\,b^7\,e^3+\frac{45\,B\,a^2\,b^8\,d\,e^2}{4}+\frac{15\,A\,a^2\,b^8\,e^3}{4}+\frac{5\,B\,a\,b^9\,d^2\,e}{2}+\frac{5\,A\,a\,b^9\,d\,e^2}{2}+\frac{B\,b^{10}\,d^3}{12}+\frac{A\,b^{10}\,d^2\,e}{4}\right)+x^9\,\left(\frac{70\,B\,a^6\,b^4\,e^3}{3}+84\,B\,a^5\,b^5\,d\,e^2+28\,A\,a^5\,b^5\,e^3+70\,B\,a^4\,b^6\,d^2\,e+70\,A\,a^4\,b^6\,d\,e^2+\frac{40\,B\,a^3\,b^7\,d^3}{3}+40\,A\,a^3\,b^7\,d^2\,e+5\,A\,a^2\,b^8\,d^3\right)+x^7\,\left(\frac{45\,B\,a^8\,b^2\,e^3}{7}+\frac{360\,B\,a^7\,b^3\,d\,e^2}{7}+\frac{120\,A\,a^7\,b^3\,e^3}{7}+90\,B\,a^6\,b^4\,d^2\,e+90\,A\,a^6\,b^4\,d\,e^2+36\,B\,a^5\,b^5\,d^3+108\,A\,a^5\,b^5\,d^2\,e+30\,A\,a^4\,b^6\,d^3\right)+x^8\,\left(15\,B\,a^7\,b^3\,e^3+\frac{315\,B\,a^6\,b^4\,d\,e^2}{4}+\frac{105\,A\,a^6\,b^4\,e^3}{4}+\frac{189\,B\,a^5\,b^5\,d^2\,e}{2}+\frac{189\,A\,a^5\,b^5\,d\,e^2}{2}+\frac{105\,B\,a^4\,b^6\,d^3}{4}+\frac{315\,A\,a^4\,b^6\,d^2\,e}{4}+15\,A\,a^3\,b^7\,d^3\right)+x^5\,\left(\frac{B\,a^{10}\,e^3}{5}+6\,B\,a^9\,b\,d\,e^2+2\,A\,a^9\,b\,e^3+27\,B\,a^8\,b^2\,d^2\,e+27\,A\,a^8\,b^2\,d\,e^2+24\,B\,a^7\,b^3\,d^3+72\,A\,a^7\,b^3\,d^2\,e+42\,A\,a^6\,b^4\,d^3\right)+x^{11}\,\left(\frac{210\,B\,a^4\,b^6\,e^3}{11}+\frac{360\,B\,a^3\,b^7\,d\,e^2}{11}+\frac{120\,A\,a^3\,b^7\,e^3}{11}+\frac{135\,B\,a^2\,b^8\,d^2\,e}{11}+\frac{135\,A\,a^2\,b^8\,d\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^3}{11}+\frac{30\,A\,a\,b^9\,d^2\,e}{11}+\frac{A\,b^{10}\,d^3}{11}\right)+x^{10}\,\left(\frac{126\,B\,a^5\,b^5\,e^3}{5}+63\,B\,a^4\,b^6\,d\,e^2+21\,A\,a^4\,b^6\,e^3+36\,B\,a^3\,b^7\,d^2\,e+36\,A\,a^3\,b^7\,d\,e^2+\frac{9\,B\,a^2\,b^8\,d^3}{2}+\frac{27\,A\,a^2\,b^8\,d^2\,e}{2}+A\,a\,b^9\,d^3\right)+x^6\,\left(\frac{5\,B\,a^9\,b\,e^3}{3}+\frac{45\,B\,a^8\,b^2\,d\,e^2}{2}+\frac{15\,A\,a^8\,b^2\,e^3}{2}+60\,B\,a^7\,b^3\,d^2\,e+60\,A\,a^7\,b^3\,d\,e^2+35\,B\,a^6\,b^4\,d^3+105\,A\,a^6\,b^4\,d^2\,e+42\,A\,a^5\,b^5\,d^3\right)+\frac{a^9\,d^2\,x^2\,\left(3\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e^2\,x^{14}\,\left(A\,b\,e+10\,B\,a\,e+3\,B\,b\,d\right)}{14}+A\,a^{10}\,d^3\,x+\frac{B\,b^{10}\,e^3\,x^{15}}{15}","Not used",1,"x^3*((10*B*a^9*b*d^3)/3 + A*a^10*d*e^2 + B*a^10*d^2*e + 15*A*a^8*b^2*d^3 + 10*A*a^9*b*d^2*e) + x^13*((10*A*a*b^9*e^3)/13 + (3*A*b^10*d*e^2)/13 + (3*B*b^10*d^2*e)/13 + (45*B*a^2*b^8*e^3)/13 + (30*B*a*b^9*d*e^2)/13) + x^4*((A*a^10*e^3)/4 + (3*B*a^10*d*e^2)/4 + 30*A*a^7*b^3*d^3 + (45*B*a^8*b^2*d^3)/4 + (135*A*a^8*b^2*d^2*e)/4 + (15*A*a^9*b*d*e^2)/2 + (15*B*a^9*b*d^2*e)/2) + x^12*((B*b^10*d^3)/12 + (A*b^10*d^2*e)/4 + (15*A*a^2*b^8*e^3)/4 + 10*B*a^3*b^7*e^3 + (45*B*a^2*b^8*d*e^2)/4 + (5*A*a*b^9*d*e^2)/2 + (5*B*a*b^9*d^2*e)/2) + x^9*(5*A*a^2*b^8*d^3 + 28*A*a^5*b^5*e^3 + (40*B*a^3*b^7*d^3)/3 + (70*B*a^6*b^4*e^3)/3 + 40*A*a^3*b^7*d^2*e + 70*A*a^4*b^6*d*e^2 + 70*B*a^4*b^6*d^2*e + 84*B*a^5*b^5*d*e^2) + x^7*(30*A*a^4*b^6*d^3 + (120*A*a^7*b^3*e^3)/7 + 36*B*a^5*b^5*d^3 + (45*B*a^8*b^2*e^3)/7 + 108*A*a^5*b^5*d^2*e + 90*A*a^6*b^4*d*e^2 + 90*B*a^6*b^4*d^2*e + (360*B*a^7*b^3*d*e^2)/7) + x^8*(15*A*a^3*b^7*d^3 + (105*A*a^6*b^4*e^3)/4 + (105*B*a^4*b^6*d^3)/4 + 15*B*a^7*b^3*e^3 + (315*A*a^4*b^6*d^2*e)/4 + (189*A*a^5*b^5*d*e^2)/2 + (189*B*a^5*b^5*d^2*e)/2 + (315*B*a^6*b^4*d*e^2)/4) + x^5*((B*a^10*e^3)/5 + 2*A*a^9*b*e^3 + 42*A*a^6*b^4*d^3 + 24*B*a^7*b^3*d^3 + 72*A*a^7*b^3*d^2*e + 27*A*a^8*b^2*d*e^2 + 27*B*a^8*b^2*d^2*e + 6*B*a^9*b*d*e^2) + x^11*((A*b^10*d^3)/11 + (10*B*a*b^9*d^3)/11 + (120*A*a^3*b^7*e^3)/11 + (210*B*a^4*b^6*e^3)/11 + (135*A*a^2*b^8*d*e^2)/11 + (135*B*a^2*b^8*d^2*e)/11 + (360*B*a^3*b^7*d*e^2)/11 + (30*A*a*b^9*d^2*e)/11) + x^10*(A*a*b^9*d^3 + 21*A*a^4*b^6*e^3 + (9*B*a^2*b^8*d^3)/2 + (126*B*a^5*b^5*e^3)/5 + (27*A*a^2*b^8*d^2*e)/2 + 36*A*a^3*b^7*d*e^2 + 36*B*a^3*b^7*d^2*e + 63*B*a^4*b^6*d*e^2) + x^6*((5*B*a^9*b*e^3)/3 + 42*A*a^5*b^5*d^3 + (15*A*a^8*b^2*e^3)/2 + 35*B*a^6*b^4*d^3 + 105*A*a^6*b^4*d^2*e + 60*A*a^7*b^3*d*e^2 + 60*B*a^7*b^3*d^2*e + (45*B*a^8*b^2*d*e^2)/2) + (a^9*d^2*x^2*(3*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e^2*x^14*(A*b*e + 10*B*a*e + 3*B*b*d))/14 + A*a^10*d^3*x + (B*b^10*e^3*x^15)/15","B"
1086,1,757,118,1.367235,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x)^2,x)","x^6\,\left(\frac{15\,B\,a^8\,b^2\,e^2}{2}+40\,B\,a^7\,b^3\,d\,e+20\,A\,a^7\,b^3\,e^2+35\,B\,a^6\,b^4\,d^2+70\,A\,a^6\,b^4\,d\,e+42\,A\,a^5\,b^5\,d^2\right)+x^7\,\left(\frac{120\,B\,a^7\,b^3\,e^2}{7}+60\,B\,a^6\,b^4\,d\,e+30\,A\,a^6\,b^4\,e^2+36\,B\,a^5\,b^5\,d^2+72\,A\,a^5\,b^5\,d\,e+30\,A\,a^4\,b^6\,d^2\right)+x^9\,\left(28\,B\,a^5\,b^5\,e^2+\frac{140\,B\,a^4\,b^6\,d\,e}{3}+\frac{70\,A\,a^4\,b^6\,e^2}{3}+\frac{40\,B\,a^3\,b^7\,d^2}{3}+\frac{80\,A\,a^3\,b^7\,d\,e}{3}+5\,A\,a^2\,b^8\,d^2\right)+x^8\,\left(\frac{105\,B\,a^6\,b^4\,e^2}{4}+63\,B\,a^5\,b^5\,d\,e+\frac{63\,A\,a^5\,b^5\,e^2}{2}+\frac{105\,B\,a^4\,b^6\,d^2}{4}+\frac{105\,A\,a^4\,b^6\,d\,e}{2}+15\,A\,a^3\,b^7\,d^2\right)+x^4\,\left(\frac{B\,a^{10}\,e^2}{4}+5\,B\,a^9\,b\,d\,e+\frac{5\,A\,a^9\,b\,e^2}{2}+\frac{45\,B\,a^8\,b^2\,d^2}{4}+\frac{45\,A\,a^8\,b^2\,d\,e}{2}+30\,A\,a^7\,b^3\,d^2\right)+x^{11}\,\left(\frac{120\,B\,a^3\,b^7\,e^2}{11}+\frac{90\,B\,a^2\,b^8\,d\,e}{11}+\frac{45\,A\,a^2\,b^8\,e^2}{11}+\frac{10\,B\,a\,b^9\,d^2}{11}+\frac{20\,A\,a\,b^9\,d\,e}{11}+\frac{A\,b^{10}\,d^2}{11}\right)+x^{10}\,\left(21\,B\,a^4\,b^6\,e^2+24\,B\,a^3\,b^7\,d\,e+12\,A\,a^3\,b^7\,e^2+\frac{9\,B\,a^2\,b^8\,d^2}{2}+9\,A\,a^2\,b^8\,d\,e+A\,a\,b^9\,d^2\right)+x^5\,\left(2\,B\,a^9\,b\,e^2+18\,B\,a^8\,b^2\,d\,e+9\,A\,a^8\,b^2\,e^2+24\,B\,a^7\,b^3\,d^2+48\,A\,a^7\,b^3\,d\,e+42\,A\,a^6\,b^4\,d^2\right)+x^3\,\left(\frac{2\,B\,a^{10}\,d\,e}{3}+\frac{A\,a^{10}\,e^2}{3}+\frac{10\,B\,a^9\,b\,d^2}{3}+\frac{20\,A\,a^9\,b\,d\,e}{3}+15\,A\,a^8\,b^2\,d^2\right)+x^{12}\,\left(\frac{15\,B\,a^2\,b^8\,e^2}{4}+\frac{5\,B\,a\,b^9\,d\,e}{3}+\frac{5\,A\,a\,b^9\,e^2}{6}+\frac{B\,b^{10}\,d^2}{12}+\frac{A\,b^{10}\,d\,e}{6}\right)+A\,a^{10}\,d^2\,x+\frac{a^9\,d\,x^2\,\left(2\,A\,a\,e+10\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^9\,e\,x^{13}\,\left(A\,b\,e+10\,B\,a\,e+2\,B\,b\,d\right)}{13}+\frac{B\,b^{10}\,e^2\,x^{14}}{14}","Not used",1,"x^6*(42*A*a^5*b^5*d^2 + 20*A*a^7*b^3*e^2 + 35*B*a^6*b^4*d^2 + (15*B*a^8*b^2*e^2)/2 + 70*A*a^6*b^4*d*e + 40*B*a^7*b^3*d*e) + x^7*(30*A*a^4*b^6*d^2 + 30*A*a^6*b^4*e^2 + 36*B*a^5*b^5*d^2 + (120*B*a^7*b^3*e^2)/7 + 72*A*a^5*b^5*d*e + 60*B*a^6*b^4*d*e) + x^9*(5*A*a^2*b^8*d^2 + (70*A*a^4*b^6*e^2)/3 + (40*B*a^3*b^7*d^2)/3 + 28*B*a^5*b^5*e^2 + (80*A*a^3*b^7*d*e)/3 + (140*B*a^4*b^6*d*e)/3) + x^8*(15*A*a^3*b^7*d^2 + (63*A*a^5*b^5*e^2)/2 + (105*B*a^4*b^6*d^2)/4 + (105*B*a^6*b^4*e^2)/4 + (105*A*a^4*b^6*d*e)/2 + 63*B*a^5*b^5*d*e) + x^4*((B*a^10*e^2)/4 + (5*A*a^9*b*e^2)/2 + 30*A*a^7*b^3*d^2 + (45*B*a^8*b^2*d^2)/4 + 5*B*a^9*b*d*e + (45*A*a^8*b^2*d*e)/2) + x^11*((A*b^10*d^2)/11 + (10*B*a*b^9*d^2)/11 + (45*A*a^2*b^8*e^2)/11 + (120*B*a^3*b^7*e^2)/11 + (20*A*a*b^9*d*e)/11 + (90*B*a^2*b^8*d*e)/11) + x^10*(A*a*b^9*d^2 + 12*A*a^3*b^7*e^2 + (9*B*a^2*b^8*d^2)/2 + 21*B*a^4*b^6*e^2 + 9*A*a^2*b^8*d*e + 24*B*a^3*b^7*d*e) + x^5*(2*B*a^9*b*e^2 + 42*A*a^6*b^4*d^2 + 9*A*a^8*b^2*e^2 + 24*B*a^7*b^3*d^2 + 48*A*a^7*b^3*d*e + 18*B*a^8*b^2*d*e) + x^3*((A*a^10*e^2)/3 + (2*B*a^10*d*e)/3 + (10*B*a^9*b*d^2)/3 + 15*A*a^8*b^2*d^2 + (20*A*a^9*b*d*e)/3) + x^12*((B*b^10*d^2)/12 + (A*b^10*d*e)/6 + (5*A*a*b^9*e^2)/6 + (15*B*a^2*b^8*e^2)/4 + (5*B*a*b^9*d*e)/3) + A*a^10*d^2*x + (a^9*d*x^2*(2*A*a*e + 10*A*b*d + B*a*d))/2 + (b^9*e*x^13*(A*b*e + 10*B*a*e + 2*B*b*d))/13 + (B*b^10*e^2*x^14)/14","B"
1087,1,409,75,1.262010,"\text{Not used}","int((A + B*x)*(a + b*x)^10*(d + e*x),x)","x^3\,\left(\frac{B\,a^{10}\,e}{3}+\frac{10\,A\,a^9\,b\,e}{3}+\frac{10\,B\,a^9\,b\,d}{3}+15\,A\,a^8\,b^2\,d\right)+x^{11}\,\left(\frac{A\,b^{10}\,d}{11}+\frac{10\,A\,a\,b^9\,e}{11}+\frac{10\,B\,a\,b^9\,d}{11}+\frac{45\,B\,a^2\,b^8\,e}{11}\right)+x^2\,\left(\frac{A\,a^{10}\,e}{2}+\frac{B\,a^{10}\,d}{2}+5\,A\,a^9\,b\,d\right)+x^{12}\,\left(\frac{A\,b^{10}\,e}{12}+\frac{B\,b^{10}\,d}{12}+\frac{5\,B\,a\,b^9\,e}{6}\right)+6\,a^4\,b^4\,x^7\,\left(5\,A\,b^2\,d+5\,B\,a^2\,e+6\,A\,a\,b\,e+6\,B\,a\,b\,d\right)+3\,a^6\,b^2\,x^5\,\left(14\,A\,b^2\,d+3\,B\,a^2\,e+8\,A\,a\,b\,e+8\,B\,a\,b\,d\right)+\frac{5\,a^2\,b^6\,x^9\,\left(3\,A\,b^2\,d+14\,B\,a^2\,e+8\,A\,a\,b\,e+8\,B\,a\,b\,d\right)}{3}+a^5\,b^3\,x^6\,\left(42\,A\,b^2\,d+20\,B\,a^2\,e+35\,A\,a\,b\,e+35\,B\,a\,b\,d\right)+\frac{3\,a^3\,b^5\,x^8\,\left(20\,A\,b^2\,d+42\,B\,a^2\,e+35\,A\,a\,b\,e+35\,B\,a\,b\,d\right)}{4}+A\,a^{10}\,d\,x+\frac{B\,b^{10}\,e\,x^{13}}{13}+\frac{5\,a^7\,b\,x^4\,\left(24\,A\,b^2\,d+2\,B\,a^2\,e+9\,A\,a\,b\,e+9\,B\,a\,b\,d\right)}{4}+\frac{a\,b^7\,x^{10}\,\left(2\,A\,b^2\,d+24\,B\,a^2\,e+9\,A\,a\,b\,e+9\,B\,a\,b\,d\right)}{2}","Not used",1,"x^3*((B*a^10*e)/3 + (10*A*a^9*b*e)/3 + (10*B*a^9*b*d)/3 + 15*A*a^8*b^2*d) + x^11*((A*b^10*d)/11 + (10*A*a*b^9*e)/11 + (10*B*a*b^9*d)/11 + (45*B*a^2*b^8*e)/11) + x^2*((A*a^10*e)/2 + (B*a^10*d)/2 + 5*A*a^9*b*d) + x^12*((A*b^10*e)/12 + (B*b^10*d)/12 + (5*B*a*b^9*e)/6) + 6*a^4*b^4*x^7*(5*A*b^2*d + 5*B*a^2*e + 6*A*a*b*e + 6*B*a*b*d) + 3*a^6*b^2*x^5*(14*A*b^2*d + 3*B*a^2*e + 8*A*a*b*e + 8*B*a*b*d) + (5*a^2*b^6*x^9*(3*A*b^2*d + 14*B*a^2*e + 8*A*a*b*e + 8*B*a*b*d))/3 + a^5*b^3*x^6*(42*A*b^2*d + 20*B*a^2*e + 35*A*a*b*e + 35*B*a*b*d) + (3*a^3*b^5*x^8*(20*A*b^2*d + 42*B*a^2*e + 35*A*a*b*e + 35*B*a*b*d))/4 + A*a^10*d*x + (B*b^10*e*x^13)/13 + (5*a^7*b*x^4*(24*A*b^2*d + 2*B*a^2*e + 9*A*a*b*e + 9*B*a*b*d))/4 + (a*b^7*x^10*(2*A*b^2*d + 24*B*a^2*e + 9*A*a*b*e + 9*B*a*b*d))/2","B"
1088,1,208,38,0.132719,"\text{Not used}","int((A + B*x)*(a + b*x)^10,x)","x^2\,\left(\frac{B\,a^{10}}{2}+5\,A\,b\,a^9\right)+x^{11}\,\left(\frac{A\,b^{10}}{11}+\frac{10\,B\,a\,b^9}{11}\right)+\frac{B\,b^{10}\,x^{12}}{12}+A\,a^{10}\,x+\frac{15\,a^7\,b^2\,x^4\,\left(8\,A\,b+3\,B\,a\right)}{4}+6\,a^6\,b^3\,x^5\,\left(7\,A\,b+4\,B\,a\right)+7\,a^5\,b^4\,x^6\,\left(6\,A\,b+5\,B\,a\right)+6\,a^4\,b^5\,x^7\,\left(5\,A\,b+6\,B\,a\right)+\frac{15\,a^3\,b^6\,x^8\,\left(4\,A\,b+7\,B\,a\right)}{4}+\frac{5\,a^2\,b^7\,x^9\,\left(3\,A\,b+8\,B\,a\right)}{3}+\frac{5\,a^8\,b\,x^3\,\left(9\,A\,b+2\,B\,a\right)}{3}+\frac{a\,b^8\,x^{10}\,\left(2\,A\,b+9\,B\,a\right)}{2}","Not used",1,"x^2*((B*a^10)/2 + 5*A*a^9*b) + x^11*((A*b^10)/11 + (10*B*a*b^9)/11) + (B*b^10*x^12)/12 + A*a^10*x + (15*a^7*b^2*x^4*(8*A*b + 3*B*a))/4 + 6*a^6*b^3*x^5*(7*A*b + 4*B*a) + 7*a^5*b^4*x^6*(6*A*b + 5*B*a) + 6*a^4*b^5*x^7*(5*A*b + 6*B*a) + (15*a^3*b^6*x^8*(4*A*b + 7*B*a))/4 + (5*a^2*b^7*x^9*(3*A*b + 8*B*a))/3 + (5*a^8*b*x^3*(9*A*b + 2*B*a))/3 + (a*b^8*x^10*(2*A*b + 9*B*a))/2","B"
1089,1,1795,348,1.237480,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x),x)","x^4\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e}\right)}{e}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e}\right)}{e}-\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e}\right)}{4\,e}+\frac{15\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{2\,e}\right)-x^3\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e}\right)}{e}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e}\right)}{e}-\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e}\right)}{e}+\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e}\right)}{3\,e}-\frac{5\,a^7\,b^2\,\left(8\,A\,b+3\,B\,a\right)}{e}\right)-x^5\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e}\right)}{e}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e}\right)}{5\,e}-\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{5\,e}\right)+x^6\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e}\right)}{6\,e}+\frac{7\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e}\right)-x^7\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{7\,e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{7\,e}\right)+x^8\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{8\,e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{8\,e}\right)-x^9\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{9\,e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{9\,e}\right)+x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e}\right)}{e}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e}\right)}{e}-\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e}\right)}{e}+\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e}\right)}{e}-\frac{15\,a^7\,b^2\,\left(8\,A\,b+3\,B\,a\right)}{e}\right)}{2\,e}+\frac{5\,a^8\,b\,\left(9\,A\,b+2\,B\,a\right)}{2\,e}\right)+x\,\left(\frac{B\,a^{10}+10\,A\,b\,a^9}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e}-\frac{B\,b^{10}\,d}{e^2}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e}\right)}{e}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e}\right)}{e}-\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e}\right)}{e}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e}\right)}{e}-\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e}\right)}{e}+\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e}\right)}{e}-\frac{15\,a^7\,b^2\,\left(8\,A\,b+3\,B\,a\right)}{e}\right)}{e}+\frac{5\,a^8\,b\,\left(9\,A\,b+2\,B\,a\right)}{e}\right)}{e}\right)+x^{10}\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{10\,e}-\frac{B\,b^{10}\,d}{10\,e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^{10}\,d\,e^{10}+A\,a^{10}\,e^{11}+10\,B\,a^9\,b\,d^2\,e^9-10\,A\,a^9\,b\,d\,e^{10}-45\,B\,a^8\,b^2\,d^3\,e^8+45\,A\,a^8\,b^2\,d^2\,e^9+120\,B\,a^7\,b^3\,d^4\,e^7-120\,A\,a^7\,b^3\,d^3\,e^8-210\,B\,a^6\,b^4\,d^5\,e^6+210\,A\,a^6\,b^4\,d^4\,e^7+252\,B\,a^5\,b^5\,d^6\,e^5-252\,A\,a^5\,b^5\,d^5\,e^6-210\,B\,a^4\,b^6\,d^7\,e^4+210\,A\,a^4\,b^6\,d^6\,e^5+120\,B\,a^3\,b^7\,d^8\,e^3-120\,A\,a^3\,b^7\,d^7\,e^4-45\,B\,a^2\,b^8\,d^9\,e^2+45\,A\,a^2\,b^8\,d^8\,e^3+10\,B\,a\,b^9\,d^{10}\,e-10\,A\,a\,b^9\,d^9\,e^2-B\,b^{10}\,d^{11}+A\,b^{10}\,d^{10}\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^{11}}{11\,e}","Not used",1,"x^4*((d*((d*((d*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/e - (30*a^3*b^6*(4*A*b + 7*B*a))/e))/e + (42*a^4*b^5*(5*A*b + 6*B*a))/e))/e - (42*a^5*b^4*(6*A*b + 5*B*a))/e))/(4*e) + (15*a^6*b^3*(7*A*b + 4*B*a))/(2*e)) - x^3*((d*((d*((d*((d*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/e - (30*a^3*b^6*(4*A*b + 7*B*a))/e))/e + (42*a^4*b^5*(5*A*b + 6*B*a))/e))/e - (42*a^5*b^4*(6*A*b + 5*B*a))/e))/e + (30*a^6*b^3*(7*A*b + 4*B*a))/e))/(3*e) - (5*a^7*b^2*(8*A*b + 3*B*a))/e) - x^5*((d*((d*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/e - (30*a^3*b^6*(4*A*b + 7*B*a))/e))/e + (42*a^4*b^5*(5*A*b + 6*B*a))/e))/(5*e) - (42*a^5*b^4*(6*A*b + 5*B*a))/(5*e)) + x^6*((d*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/e - (30*a^3*b^6*(4*A*b + 7*B*a))/e))/(6*e) + (7*a^4*b^5*(5*A*b + 6*B*a))/e) - x^7*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/(7*e) - (30*a^3*b^6*(4*A*b + 7*B*a))/(7*e)) + x^8*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/(8*e) + (15*a^2*b^7*(3*A*b + 8*B*a))/(8*e)) - x^9*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/(9*e) - (5*a*b^8*(2*A*b + 9*B*a))/(9*e)) + x^2*((d*((d*((d*((d*((d*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/e - (30*a^3*b^6*(4*A*b + 7*B*a))/e))/e + (42*a^4*b^5*(5*A*b + 6*B*a))/e))/e - (42*a^5*b^4*(6*A*b + 5*B*a))/e))/e + (30*a^6*b^3*(7*A*b + 4*B*a))/e))/e - (15*a^7*b^2*(8*A*b + 3*B*a))/e))/(2*e) + (5*a^8*b*(9*A*b + 2*B*a))/(2*e)) + x*((B*a^10 + 10*A*a^9*b)/e - (d*((d*((d*((d*((d*((d*((d*((d*((d*((A*b^10 + 10*B*a*b^9)/e - (B*b^10*d)/e^2))/e - (5*a*b^8*(2*A*b + 9*B*a))/e))/e + (15*a^2*b^7*(3*A*b + 8*B*a))/e))/e - (30*a^3*b^6*(4*A*b + 7*B*a))/e))/e + (42*a^4*b^5*(5*A*b + 6*B*a))/e))/e - (42*a^5*b^4*(6*A*b + 5*B*a))/e))/e + (30*a^6*b^3*(7*A*b + 4*B*a))/e))/e - (15*a^7*b^2*(8*A*b + 3*B*a))/e))/e + (5*a^8*b*(9*A*b + 2*B*a))/e))/e) + x^10*((A*b^10 + 10*B*a*b^9)/(10*e) - (B*b^10*d)/(10*e^2)) + (log(d + e*x)*(A*a^10*e^11 - B*b^10*d^11 + A*b^10*d^10*e - B*a^10*d*e^10 - 10*A*a*b^9*d^9*e^2 + 10*B*a^9*b*d^2*e^9 + 45*A*a^2*b^8*d^8*e^3 - 120*A*a^3*b^7*d^7*e^4 + 210*A*a^4*b^6*d^6*e^5 - 252*A*a^5*b^5*d^5*e^6 + 210*A*a^6*b^4*d^4*e^7 - 120*A*a^7*b^3*d^3*e^8 + 45*A*a^8*b^2*d^2*e^9 - 45*B*a^2*b^8*d^9*e^2 + 120*B*a^3*b^7*d^8*e^3 - 210*B*a^4*b^6*d^7*e^4 + 252*B*a^5*b^5*d^6*e^5 - 210*B*a^6*b^4*d^5*e^6 + 120*B*a^7*b^3*d^4*e^7 - 45*B*a^8*b^2*d^3*e^8 - 10*A*a^9*b*d*e^10 + 10*B*a*b^9*d^10*e))/e^12 + (B*b^10*x^11)/(11*e)","B"
1090,1,7792,445,1.391604,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^2,x)","x^4\,\left(\frac{d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{2\,e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{4\,e^2}+\frac{21\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{2\,e^2}\right)+x\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^2}\right)}{e^2}-\frac{15\,a^7\,b^2\,\left(8\,A\,b+3\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e^2}\right)}{e^2}+\frac{5\,a^8\,b\,\left(9\,A\,b+2\,B\,a\right)}{e^2}\right)-x^8\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{4\,e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{8\,e^2}+\frac{B\,b^{10}\,d^2}{8\,e^4}\right)-x^2\,\left(\frac{d\,\left(\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^2}\right)}{2\,e^2}-\frac{15\,a^7\,b^2\,\left(8\,A\,b+3\,B\,a\right)}{2\,e^2}\right)+x^6\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{6\,e^2}-\frac{d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{3\,e}+\frac{5\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)+x^7\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{7\,e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{7\,e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{7\,e^2}\right)+x^3\,\left(\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{3\,e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^2}\right)}{3\,e}+\frac{10\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e^2}\right)+x^9\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{9\,e^2}-\frac{2\,B\,b^{10}\,d}{9\,e^3}\right)-x^5\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{5\,e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^2}+\frac{B\,b^{10}\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^2}-\frac{2\,B\,b^{10}\,d}{e^3}\right)}{e^2}+\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^2}\right)}{e}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^2}\right)}{5\,e}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{5\,e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^{10}\,e^{10}-20\,B\,a^9\,b\,d\,e^9+10\,A\,a^9\,b\,e^{10}+135\,B\,a^8\,b^2\,d^2\,e^8-90\,A\,a^8\,b^2\,d\,e^9-480\,B\,a^7\,b^3\,d^3\,e^7+360\,A\,a^7\,b^3\,d^2\,e^8+1050\,B\,a^6\,b^4\,d^4\,e^6-840\,A\,a^6\,b^4\,d^3\,e^7-1512\,B\,a^5\,b^5\,d^5\,e^5+1260\,A\,a^5\,b^5\,d^4\,e^6+1470\,B\,a^4\,b^6\,d^6\,e^4-1260\,A\,a^4\,b^6\,d^5\,e^5-960\,B\,a^3\,b^7\,d^7\,e^3+840\,A\,a^3\,b^7\,d^6\,e^4+405\,B\,a^2\,b^8\,d^8\,e^2-360\,A\,a^2\,b^8\,d^7\,e^3-100\,B\,a\,b^9\,d^9\,e+90\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}-10\,A\,b^{10}\,d^9\,e\right)}{e^{12}}-\frac{-B\,a^{10}\,d\,e^{10}+A\,a^{10}\,e^{11}+10\,B\,a^9\,b\,d^2\,e^9-10\,A\,a^9\,b\,d\,e^{10}-45\,B\,a^8\,b^2\,d^3\,e^8+45\,A\,a^8\,b^2\,d^2\,e^9+120\,B\,a^7\,b^3\,d^4\,e^7-120\,A\,a^7\,b^3\,d^3\,e^8-210\,B\,a^6\,b^4\,d^5\,e^6+210\,A\,a^6\,b^4\,d^4\,e^7+252\,B\,a^5\,b^5\,d^6\,e^5-252\,A\,a^5\,b^5\,d^5\,e^6-210\,B\,a^4\,b^6\,d^7\,e^4+210\,A\,a^4\,b^6\,d^6\,e^5+120\,B\,a^3\,b^7\,d^8\,e^3-120\,A\,a^3\,b^7\,d^7\,e^4-45\,B\,a^2\,b^8\,d^9\,e^2+45\,A\,a^2\,b^8\,d^8\,e^3+10\,B\,a\,b^9\,d^{10}\,e-10\,A\,a\,b^9\,d^9\,e^2-B\,b^{10}\,d^{11}+A\,b^{10}\,d^{10}\,e}{e\,\left(x\,e^{12}+d\,e^{11}\right)}+\frac{B\,b^{10}\,x^{10}}{10\,e^2}","Not used",1,"x^4*((d*((d^2*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e^2 + (2*d*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e - (42*a^4*b^5*(5*A*b + 6*B*a))/e^2))/(2*e) - (d^2*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/(4*e^2) + (21*a^5*b^4*(6*A*b + 5*B*a))/(2*e^2)) + x*((2*d*((2*d*((d^2*((d^2*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e^2 + (2*d*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e - (42*a^4*b^5*(5*A*b + 6*B*a))/e^2))/e^2 - (2*d*((2*d*((d^2*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 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(2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e^2 + (2*d*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e - (42*a^4*b^5*(5*A*b + 6*B*a))/e^2))/e - (d^2*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e^2 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^2))/(2*e^2) - (15*a^7*b^2*(8*A*b + 3*B*a))/(2*e^2)) + x^6*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/(6*e^2) - (d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/(3*e) + (5*a^3*b^6*(4*A*b + 7*B*a))/e^2) + x^7*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/(7*e) - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/(7*e^2) + (15*a^2*b^7*(3*A*b + 8*B*a))/(7*e^2)) + x^3*((d^2*((d^2*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e^2 + (2*d*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e - (42*a^4*b^5*(5*A*b + 6*B*a))/e^2))/(3*e^2) - (2*d*((2*d*((d^2*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e^2 + (2*d*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e - (42*a^4*b^5*(5*A*b + 6*B*a))/e^2))/e - (d^2*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/e^2 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^2))/(3*e) + (10*a^6*b^3*(7*A*b + 4*B*a))/e^2) + x^9*((A*b^10 + 10*B*a*b^9)/(9*e^2) - (2*B*b^10*d)/(9*e^3)) - x^5*((d^2*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/(5*e^2) + (2*d*((d^2*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^2 + (B*b^10*d^2)/e^4))/e - (d^2*((A*b^10 + 10*B*a*b^9)/e^2 - (2*B*b^10*d)/e^3))/e^2 + (15*a^2*b^7*(3*A*b + 8*B*a))/e^2))/e + (30*a^3*b^6*(4*A*b + 7*B*a))/e^2))/(5*e) - (42*a^4*b^5*(5*A*b + 6*B*a))/(5*e^2)) + (log(d + e*x)*(B*a^10*e^10 + 11*B*b^10*d^10 + 10*A*a^9*b*e^10 - 10*A*b^10*d^9*e + 90*A*a*b^9*d^8*e^2 - 90*A*a^8*b^2*d*e^9 - 360*A*a^2*b^8*d^7*e^3 + 840*A*a^3*b^7*d^6*e^4 - 1260*A*a^4*b^6*d^5*e^5 + 1260*A*a^5*b^5*d^4*e^6 - 840*A*a^6*b^4*d^3*e^7 + 360*A*a^7*b^3*d^2*e^8 + 405*B*a^2*b^8*d^8*e^2 - 960*B*a^3*b^7*d^7*e^3 + 1470*B*a^4*b^6*d^6*e^4 - 1512*B*a^5*b^5*d^5*e^5 + 1050*B*a^6*b^4*d^4*e^6 - 480*B*a^7*b^3*d^3*e^7 + 135*B*a^8*b^2*d^2*e^8 - 100*B*a*b^9*d^9*e - 20*B*a^9*b*d*e^9))/e^12 - (A*a^10*e^11 - B*b^10*d^11 + A*b^10*d^10*e - B*a^10*d*e^10 - 10*A*a*b^9*d^9*e^2 + 10*B*a^9*b*d^2*e^9 + 45*A*a^2*b^8*d^8*e^3 - 120*A*a^3*b^7*d^7*e^4 + 210*A*a^4*b^6*d^6*e^5 - 252*A*a^5*b^5*d^5*e^6 + 210*A*a^6*b^4*d^4*e^7 - 120*A*a^7*b^3*d^3*e^8 + 45*A*a^8*b^2*d^2*e^9 - 45*B*a^2*b^8*d^9*e^2 + 120*B*a^3*b^7*d^8*e^3 - 210*B*a^4*b^6*d^7*e^4 + 252*B*a^5*b^5*d^6*e^5 - 210*B*a^6*b^4*d^5*e^6 + 120*B*a^7*b^3*d^4*e^7 - 45*B*a^8*b^2*d^3*e^8 - 10*A*a^9*b*d*e^10 + 10*B*a*b^9*d^10*e)/(e*(d*e^11 + e^12*x)) + (B*b^10*x^10)/(10*e^2)","B"
1091,1,8104,445,1.523312,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^3,x)","x^5\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{5\,e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{5\,e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{5\,e^2}+\frac{6\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)+x\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{d^3\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e^3}-\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{e}+\frac{d^3\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^3}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^3}\right)}{e}-\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^3}\right)}{e}+\frac{d^3\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d^2\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e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ac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{2\,e}-\frac{5\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{2\,e^3}+\frac{B\,b^{10}\,d^3}{6\,e^6}\right)-\frac{\frac{B\,a^{10}\,d\,e^{10}+A\,a^{10}\,e^{11}-30\,B\,a^9\,b\,d^2\,e^9+10\,A\,a^9\,b\,d\,e^{10}+225\,B\,a^8\,b^2\,d^3\,e^8-135\,A\,a^8\,b^2\,d^2\,e^9-840\,B\,a^7\,b^3\,d^4\,e^7+600\,A\,a^7\,b^3\,d^3\,e^8+1890\,B\,a^6\,b^4\,d^5\,e^6-1470\,A\,a^6\,b^4\,d^4\,e^7-2772\,B\,a^5\,b^5\,d^6\,e^5+2268\,A\,a^5\,b^5\,d^5\,e^6+2730\,B\,a^4\,b^6\,d^7\,e^4-2310\,A\,a^4\,b^6\,d^6\,e^5-1800\,B\,a^3\,b^7\,d^8\,e^3+1560\,A\,a^3\,b^7\,d^7\,e^4+765\,B\,a^2\,b^8\,d^9\,e^2-675\,A\,a^2\,b^8\,d^8\,e^3-190\,B\,a\,b^9\,d^{10}\,e+170\,A\,a\,b^9\,d^9\,e^2+21\,B\,b^{10}\,d^{11}-19\,A\,b^{10}\,d^{10}\,e}{2\,e}+x\,\left(B\,a^{10}\,e^{10}-20\,B\,a^9\,b\,d\,e^9+10\,A\,a^9\,b\,e^{10}+135\,B\,a^8\,b^2\,d^2\,e^8-90\,A\,a^8\,b^2\,d\,e^9-480\,B\,a^7\,b^3\,d^3\,e^7+360\,A\,a^7\,b^3\,d^2\,e^8+1050\,B\,a^6\,b^4\,d^4\,e^6-840\,A\,a^6\,b^4\,d^3\,e^7-1512\,B\,a^5\,b^5\,d^5\,e^5+1260\,A\,a^5\,b^5\,d^4\,e^6+1470\,B\,a^4\,b^6\,d^6\,e^4-1260\,A\,a^4\,b^6\,d^5\,e^5-960\,B\,a^3\,b^7\,d^7\,e^3+840\,A\,a^3\,b^7\,d^6\,e^4+405\,B\,a^2\,b^8\,d^8\,e^2-360\,A\,a^2\,b^8\,d^7\,e^3-100\,B\,a\,b^9\,d^9\,e+90\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}-10\,A\,b^{10}\,d^9\,e\right)}{d^2\,e^{11}+2\,d\,e^{12}\,x+e^{13}\,x^2}-x^2\,\left(\frac{3\,d\,\left(\frac{d^3\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e^3}-\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{e}+\frac{d^3\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^3}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^3}\right)}{e}-\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{e^2}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^3}\right)}{2\,e}+\frac{d^3\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{2\,e^3}+\frac{3\,d^2\,\left(\frac{3\,d^2\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^3}+\frac{B\,b^{10}\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^3}\right)}{e}+\frac{d^3\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^3}-\frac{3\,B\,b^{10}\,d}{e^4}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^3}+\frac{3\,B\,b^{10}\,d^2}{e^5}\right)}{e^3}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^3}\right)}{2\,e^2}-\frac{15\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e^3}\right)+x^8\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{8\,e^3}-\frac{3\,B\,b^{10}\,d}{8\,e^4}\right)+\frac{\ln\left(d+e\,x\right)\,\left(10\,B\,a^9\,b\,e^9-135\,B\,a^8\,b^2\,d\,e^8+45\,A\,a^8\,b^2\,e^9+720\,B\,a^7\,b^3\,d^2\,e^7-360\,A\,a^7\,b^3\,d\,e^8-2100\,B\,a^6\,b^4\,d^3\,e^6+1260\,A\,a^6\,b^4\,d^2\,e^7+3780\,B\,a^5\,b^5\,d^4\,e^5-2520\,A\,a^5\,b^5\,d^3\,e^6-4410\,B\,a^4\,b^6\,d^5\,e^4+3150\,A\,a^4\,b^6\,d^4\,e^5+3360\,B\,a^3\,b^7\,d^6\,e^3-2520\,A\,a^3\,b^7\,d^5\,e^4-1620\,B\,a^2\,b^8\,d^7\,e^2+1260\,A\,a^2\,b^8\,d^6\,e^3+450\,B\,a\,b^9\,d^8\,e-360\,A\,a\,b^9\,d^7\,e^2-55\,B\,b^{10}\,d^9+45\,A\,b^{10}\,d^8\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^9}{9\,e^3}","Not used",1,"x^5*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/(5*e) - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/(5*e^3) + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/(5*e^2) + (6*a^3*b^6*(4*A*b + 7*B*a))/e^3) + x*((3*d*((3*d*((d^3*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^3 - (3*d*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/e - (3*d^2*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e^2 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^3))/e + (d^3*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e^3 + (3*d^2*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/e^2 - (30*a^6*b^3*(7*A*b + 4*B*a))/e^3))/e - (3*d^2*((d^3*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^3 - (3*d*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/e - (3*d^2*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e^2 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^3))/e^2 - (d^3*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/e^3 + (15*a^7*b^2*(8*A*b + 3*B*a))/e^3) + x^3*((d^3*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/(3*e^3) - (d*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/e - (d^2*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e^2 + (14*a^5*b^4*(6*A*b + 5*B*a))/e^3) + x^4*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/(4*e^2) - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/(4*e) + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/(4*e^3) + (21*a^4*b^5*(5*A*b + 6*B*a))/(2*e^3)) - x^7*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/(7*e) - (5*a*b^8*(2*A*b + 9*B*a))/(7*e^3) + (3*B*b^10*d^2)/(7*e^5)) - x^6*((d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/(2*e^2) - (d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/(2*e) - (5*a^2*b^7*(3*A*b + 8*B*a))/(2*e^3) + (B*b^10*d^3)/(6*e^6)) - ((A*a^10*e^11 + 21*B*b^10*d^11 - 19*A*b^10*d^10*e + B*a^10*d*e^10 + 170*A*a*b^9*d^9*e^2 - 30*B*a^9*b*d^2*e^9 - 675*A*a^2*b^8*d^8*e^3 + 1560*A*a^3*b^7*d^7*e^4 - 2310*A*a^4*b^6*d^6*e^5 + 2268*A*a^5*b^5*d^5*e^6 - 1470*A*a^6*b^4*d^4*e^7 + 600*A*a^7*b^3*d^3*e^8 - 135*A*a^8*b^2*d^2*e^9 + 765*B*a^2*b^8*d^9*e^2 - 1800*B*a^3*b^7*d^8*e^3 + 2730*B*a^4*b^6*d^7*e^4 - 2772*B*a^5*b^5*d^6*e^5 + 1890*B*a^6*b^4*d^5*e^6 - 840*B*a^7*b^3*d^4*e^7 + 225*B*a^8*b^2*d^3*e^8 + 10*A*a^9*b*d*e^10 - 190*B*a*b^9*d^10*e)/(2*e) + x*(B*a^10*e^10 + 11*B*b^10*d^10 + 10*A*a^9*b*e^10 - 10*A*b^10*d^9*e + 90*A*a*b^9*d^8*e^2 - 90*A*a^8*b^2*d*e^9 - 360*A*a^2*b^8*d^7*e^3 + 840*A*a^3*b^7*d^6*e^4 - 1260*A*a^4*b^6*d^5*e^5 + 1260*A*a^5*b^5*d^4*e^6 - 840*A*a^6*b^4*d^3*e^7 + 360*A*a^7*b^3*d^2*e^8 + 405*B*a^2*b^8*d^8*e^2 - 960*B*a^3*b^7*d^7*e^3 + 1470*B*a^4*b^6*d^6*e^4 - 1512*B*a^5*b^5*d^5*e^5 + 1050*B*a^6*b^4*d^4*e^6 - 480*B*a^7*b^3*d^3*e^7 + 135*B*a^8*b^2*d^2*e^8 - 100*B*a*b^9*d^9*e - 20*B*a^9*b*d*e^9))/(d^2*e^11 + e^13*x^2 + 2*d*e^12*x) - x^2*((3*d*((d^3*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^3 - (3*d*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/e - (3*d^2*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e^2 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^3))/(2*e) + (d^3*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/(2*e^3) + (3*d^2*((3*d^2*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e^2 - (3*d*((3*d*((3*d^2*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^2 - (3*d*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^3 + (B*b^10*d^3)/e^6))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e^3 + (3*d^2*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^3))/e + (d^3*((3*d*((A*b^10 + 10*B*a*b^9)/e^3 - (3*B*b^10*d)/e^4))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^3 + (3*B*b^10*d^2)/e^5))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^3))/(2*e^2) - (15*a^6*b^3*(7*A*b + 4*B*a))/e^3) + x^8*((A*b^10 + 10*B*a*b^9)/(8*e^3) - (3*B*b^10*d)/(8*e^4)) + (log(d + e*x)*(10*B*a^9*b*e^9 - 55*B*b^10*d^9 + 45*A*b^10*d^8*e + 45*A*a^8*b^2*e^9 - 360*A*a*b^9*d^7*e^2 - 360*A*a^7*b^3*d*e^8 - 135*B*a^8*b^2*d*e^8 + 1260*A*a^2*b^8*d^6*e^3 - 2520*A*a^3*b^7*d^5*e^4 + 3150*A*a^4*b^6*d^4*e^5 - 2520*A*a^5*b^5*d^3*e^6 + 1260*A*a^6*b^4*d^2*e^7 - 1620*B*a^2*b^8*d^7*e^2 + 3360*B*a^3*b^7*d^6*e^3 - 4410*B*a^4*b^6*d^5*e^4 + 3780*B*a^5*b^5*d^4*e^5 - 2100*B*a^6*b^4*d^3*e^6 + 720*B*a^7*b^3*d^2*e^7 + 450*B*a*b^9*d^8*e))/e^12 + (B*b^10*x^9)/(9*e^3)","B"
1092,1,5544,445,1.475177,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^4,x)","x^2\,\left(\frac{2\,d^3\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^3}-\frac{3\,d^2\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{e^2}-\frac{2\,d\,\left(\frac{6\,d^2\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{e}-\frac{d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^4}+\frac{4\,d^3\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^3}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^4}\right)}{e}+\frac{d^4\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{2\,e^4}+\frac{21\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^4}\right)-x^6\,\left(\frac{2\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{3\,e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{6\,e^4}+\frac{B\,b^{10}\,d^2}{e^6}\right)-\frac{\frac{B\,a^{10}\,d\,e^{10}+2\,A\,a^{10}\,e^{11}+20\,B\,a^9\,b\,d^2\,e^9+10\,A\,a^9\,b\,d\,e^{10}-495\,B\,a^8\,b^2\,d^3\,e^8+90\,A\,a^8\,b^2\,d^2\,e^9+3120\,B\,a^7\,b^3\,d^4\,e^7-1320\,A\,a^7\,b^3\,d^3\,e^8-9870\,B\,a^6\,b^4\,d^5\,e^6+5460\,A\,a^6\,b^4\,d^4\,e^7+18648\,B\,a^5\,b^5\,d^6\,e^5-11844\,A\,a^5\,b^5\,d^5\,e^6-22470\,B\,a^4\,b^6\,d^7\,e^4+15540\,A\,a^4\,b^6\,d^6\,e^5+17520\,B\,a^3\,b^7\,d^8\,e^3-12840\,A\,a^3\,b^7\,d^7\,e^4-8595\,B\,a^2\,b^8\,d^9\,e^2+6570\,A\,a^2\,b^8\,d^8\,e^3+2420\,B\,a\,b^9\,d^{10}\,e-1910\,A\,a\,b^9\,d^9\,e^2-299\,B\,b^{10}\,d^{11}+242\,A\,b^{10}\,d^{10}\,e}{6\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{2}+10\,B\,a^9\,b\,d\,e^9+5\,A\,a^9\,b\,e^{10}-\frac{405\,B\,a^8\,b^2\,d^2\,e^8}{2}+45\,A\,a^8\,b^2\,d\,e^9+1200\,B\,a^7\,b^3\,d^3\,e^7-540\,A\,a^7\,b^3\,d^2\,e^8-3675\,B\,a^6\,b^4\,d^4\,e^6+2100\,A\,a^6\,b^4\,d^3\,e^7+6804\,B\,a^5\,b^5\,d^5\,e^5-4410\,A\,a^5\,b^5\,d^4\,e^6-8085\,B\,a^4\,b^6\,d^6\,e^4+5670\,A\,a^4\,b^6\,d^5\,e^5+6240\,B\,a^3\,b^7\,d^7\,e^3-4620\,A\,a^3\,b^7\,d^6\,e^4-\frac{6075\,B\,a^2\,b^8\,d^8\,e^2}{2}+2340\,A\,a^2\,b^8\,d^7\,e^3+850\,B\,a\,b^9\,d^9\,e-675\,A\,a\,b^9\,d^8\,e^2-\frac{209\,B\,b^{10}\,d^{10}}{2}+85\,A\,b^{10}\,d^9\,e\right)+x^2\,\left(10\,B\,a^9\,b\,e^{10}-135\,B\,a^8\,b^2\,d\,e^9+45\,A\,a^8\,b^2\,e^{10}+720\,B\,a^7\,b^3\,d^2\,e^8-360\,A\,a^7\,b^3\,d\,e^9-2100\,B\,a^6\,b^4\,d^3\,e^7+1260\,A\,a^6\,b^4\,d^2\,e^8+3780\,B\,a^5\,b^5\,d^4\,e^6-2520\,A\,a^5\,b^5\,d^3\,e^7-4410\,B\,a^4\,b^6\,d^5\,e^5+3150\,A\,a^4\,b^6\,d^4\,e^6+3360\,B\,a^3\,b^7\,d^6\,e^4-2520\,A\,a^3\,b^7\,d^5\,e^5-1620\,B\,a^2\,b^8\,d^7\,e^3+1260\,A\,a^2\,b^8\,d^6\,e^4+450\,B\,a\,b^9\,d^8\,e^2-360\,A\,a\,b^9\,d^7\,e^3-55\,B\,b^{10}\,d^9\,e+45\,A\,b^{10}\,d^8\,e^2\right)}{d^3\,e^{11}+3\,d^2\,e^{12}\,x+3\,d\,e^{13}\,x^2+e^{14}\,x^3}-x\,\left(\frac{6\,d^2\,\left(\frac{6\,d^2\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{e}-\frac{d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^4}+\frac{4\,d^3\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^3}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^4}\right)}{e^2}-\frac{d^4\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^4}+\frac{4\,d^3\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{e^3}+\frac{4\,d\,\left(\frac{4\,d^3\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^3}-\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{e^2}-\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{e}-\frac{d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^4}+\frac{4\,d^3\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^3}+\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^4}\right)}{e}+\frac{d^4\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^4}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^4}\right)}{e}-\frac{30\,a^6\,b^3\,\left(7\,A\,b+4\,B\,a\right)}{e^4}\right)-x^5\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{5\,e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{5\,e}-\frac{3\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{5\,e^7}\right)+x^3\,\left(\frac{2\,d^2\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{4\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{6\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^4}-\frac{B\,b^{10}\,d^4}{e^8}\right)}{3\,e}-\frac{d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{3\,e^4}+\frac{4\,d^3\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{3\,e^3}+\frac{14\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^4}\right)+x^7\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{7\,e^4}-\frac{4\,B\,b^{10}\,d}{7\,e^5}\right)+x^4\,\left(\frac{d\,\left(\frac{6\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^4}+\frac{4\,B\,b^{10}\,d^3}{e^7}\right)}{e}-\frac{d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^4}-\frac{4\,B\,b^{10}\,d}{e^5}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^4}+\frac{6\,B\,b^{10}\,d^2}{e^6}\right)}{2\,e^2}+\frac{15\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{2\,e^4}-\frac{B\,b^{10}\,d^4}{4\,e^8}\right)+\frac{\ln\left(d+e\,x\right)\,\left(45\,B\,a^8\,b^2\,e^8-480\,B\,a^7\,b^3\,d\,e^7+120\,A\,a^7\,b^3\,e^8+2100\,B\,a^6\,b^4\,d^2\,e^6-840\,A\,a^6\,b^4\,d\,e^7-5040\,B\,a^5\,b^5\,d^3\,e^5+2520\,A\,a^5\,b^5\,d^2\,e^6+7350\,B\,a^4\,b^6\,d^4\,e^4-4200\,A\,a^4\,b^6\,d^3\,e^5-6720\,B\,a^3\,b^7\,d^5\,e^3+4200\,A\,a^3\,b^7\,d^4\,e^4+3780\,B\,a^2\,b^8\,d^6\,e^2-2520\,A\,a^2\,b^8\,d^5\,e^3-1200\,B\,a\,b^9\,d^7\,e+840\,A\,a\,b^9\,d^6\,e^2+165\,B\,b^{10}\,d^8-120\,A\,b^{10}\,d^7\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^8}{8\,e^4}","Not used",1,"x^2*((2*d^3*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^3 - (3*d^2*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/e^2 - (2*d*((6*d^2*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^2 - (4*d*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/e - (d^4*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^4 + (4*d^3*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^4))/e + (d^4*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/(2*e^4) + (21*a^5*b^4*(6*A*b + 5*B*a))/e^4) - x^6*((2*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/(3*e) - (5*a*b^8*(2*A*b + 9*B*a))/(6*e^4) + (B*b^10*d^2)/e^6) - ((2*A*a^10*e^11 - 299*B*b^10*d^11 + 242*A*b^10*d^10*e + B*a^10*d*e^10 - 1910*A*a*b^9*d^9*e^2 + 20*B*a^9*b*d^2*e^9 + 6570*A*a^2*b^8*d^8*e^3 - 12840*A*a^3*b^7*d^7*e^4 + 15540*A*a^4*b^6*d^6*e^5 - 11844*A*a^5*b^5*d^5*e^6 + 5460*A*a^6*b^4*d^4*e^7 - 1320*A*a^7*b^3*d^3*e^8 + 90*A*a^8*b^2*d^2*e^9 - 8595*B*a^2*b^8*d^9*e^2 + 17520*B*a^3*b^7*d^8*e^3 - 22470*B*a^4*b^6*d^7*e^4 + 18648*B*a^5*b^5*d^6*e^5 - 9870*B*a^6*b^4*d^5*e^6 + 3120*B*a^7*b^3*d^4*e^7 - 495*B*a^8*b^2*d^3*e^8 + 10*A*a^9*b*d*e^10 + 2420*B*a*b^9*d^10*e)/(6*e) + x*((B*a^10*e^10)/2 - (209*B*b^10*d^10)/2 + 5*A*a^9*b*e^10 + 85*A*b^10*d^9*e - 675*A*a*b^9*d^8*e^2 + 45*A*a^8*b^2*d*e^9 + 2340*A*a^2*b^8*d^7*e^3 - 4620*A*a^3*b^7*d^6*e^4 + 5670*A*a^4*b^6*d^5*e^5 - 4410*A*a^5*b^5*d^4*e^6 + 2100*A*a^6*b^4*d^3*e^7 - 540*A*a^7*b^3*d^2*e^8 - (6075*B*a^2*b^8*d^8*e^2)/2 + 6240*B*a^3*b^7*d^7*e^3 - 8085*B*a^4*b^6*d^6*e^4 + 6804*B*a^5*b^5*d^5*e^5 - 3675*B*a^6*b^4*d^4*e^6 + 1200*B*a^7*b^3*d^3*e^7 - (405*B*a^8*b^2*d^2*e^8)/2 + 850*B*a*b^9*d^9*e + 10*B*a^9*b*d*e^9) + x^2*(10*B*a^9*b*e^10 - 55*B*b^10*d^9*e + 45*A*a^8*b^2*e^10 + 45*A*b^10*d^8*e^2 - 360*A*a*b^9*d^7*e^3 - 360*A*a^7*b^3*d*e^9 + 450*B*a*b^9*d^8*e^2 - 135*B*a^8*b^2*d*e^9 + 1260*A*a^2*b^8*d^6*e^4 - 2520*A*a^3*b^7*d^5*e^5 + 3150*A*a^4*b^6*d^4*e^6 - 2520*A*a^5*b^5*d^3*e^7 + 1260*A*a^6*b^4*d^2*e^8 - 1620*B*a^2*b^8*d^7*e^3 + 3360*B*a^3*b^7*d^6*e^4 - 4410*B*a^4*b^6*d^5*e^5 + 3780*B*a^5*b^5*d^4*e^6 - 2100*B*a^6*b^4*d^3*e^7 + 720*B*a^7*b^3*d^2*e^8))/(d^3*e^11 + e^14*x^3 + 3*d^2*e^12*x + 3*d*e^13*x^2) - x*((6*d^2*((6*d^2*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^2 - (4*d*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/e - (d^4*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^4 + (4*d^3*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^4))/e^2 - (d^4*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^4 + (4*d^3*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/e^3 + (4*d*((4*d^3*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^3 - (6*d^2*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/e^2 - (4*d*((6*d^2*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^2 - (4*d*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/e - (d^4*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^4 + (4*d^3*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^3 + (42*a^4*b^5*(5*A*b + 6*B*a))/e^4))/e + (d^4*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^4 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^4))/e - (30*a^6*b^3*(7*A*b + 4*B*a))/e^4) - x^5*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/(5*e^2) - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/(5*e) - (3*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/(5*e^7)) + x^3*((2*d^2*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e^2 - (4*d*((4*d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (4*d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (6*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^4 - (B*b^10*d^4)/e^8))/(3*e) - (d^4*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/(3*e^4) + (4*d^3*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/(3*e^3) + (14*a^4*b^5*(5*A*b + 6*B*a))/e^4) + x^7*((A*b^10 + 10*B*a*b^9)/(7*e^4) - (4*B*b^10*d)/(7*e^5)) + x^4*((d*((6*d^2*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^2 - (4*d*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^4 + (4*B*b^10*d^3)/e^7))/e - (d^3*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e^3 + (3*d^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^4 - (4*B*b^10*d)/e^5))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^4 + (6*B*b^10*d^2)/e^6))/(2*e^2) + (15*a^3*b^6*(4*A*b + 7*B*a))/(2*e^4) - (B*b^10*d^4)/(4*e^8)) + (log(d + e*x)*(165*B*b^10*d^8 - 120*A*b^10*d^7*e + 120*A*a^7*b^3*e^8 + 45*B*a^8*b^2*e^8 + 840*A*a*b^9*d^6*e^2 - 840*A*a^6*b^4*d*e^7 - 480*B*a^7*b^3*d*e^7 - 2520*A*a^2*b^8*d^5*e^3 + 4200*A*a^3*b^7*d^4*e^4 - 4200*A*a^4*b^6*d^3*e^5 + 2520*A*a^5*b^5*d^2*e^6 + 3780*B*a^2*b^8*d^6*e^2 - 6720*B*a^3*b^7*d^5*e^3 + 7350*B*a^4*b^6*d^4*e^4 - 5040*B*a^5*b^5*d^3*e^5 + 2100*B*a^6*b^4*d^2*e^6 - 1200*B*a*b^9*d^7*e))/e^12 + (B*b^10*x^8)/(8*e^4)","B"
1093,1,3655,444,1.451781,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^5,x)","x\,\left(\frac{10\,d^3\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{e^3}-\frac{d^5\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^5}-\frac{10\,d^2\,\left(\frac{5\,d\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{e}-\frac{10\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^3}+\frac{10\,d^2\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^5}-\frac{5\,B\,b^{10}\,d^4}{e^9}\right)}{e^2}+\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{e}-\frac{10\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^3}+\frac{10\,d^2\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^5}-\frac{5\,B\,b^{10}\,d^4}{e^9}\right)}{e}-\frac{10\,d^2\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{e^2}+\frac{5\,d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^4}-\frac{10\,d^3\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e^3}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^5}+\frac{B\,b^{10}\,d^5}{e^{10}}\right)}{e}+\frac{5\,d^4\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e^4}+\frac{42\,a^5\,b^4\,\left(6\,A\,b+5\,B\,a\right)}{e^5}\right)-x^5\,\left(\frac{d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{2\,B\,b^{10}\,d^2}{e^7}\right)-x^2\,\left(\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{e}-\frac{10\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^3}+\frac{10\,d^2\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^5}-\frac{5\,B\,b^{10}\,d^4}{e^9}\right)}{2\,e}-\frac{5\,d^2\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{e^2}+\frac{5\,d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{2\,e^4}-\frac{5\,d^3\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e^3}-\frac{21\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^5}+\frac{B\,b^{10}\,d^5}{2\,e^{10}}\right)-\frac{x^3\,\left(45\,B\,a^8\,b^2\,e^{10}-480\,B\,a^7\,b^3\,d\,e^9+120\,A\,a^7\,b^3\,e^{10}+2100\,B\,a^6\,b^4\,d^2\,e^8-840\,A\,a^6\,b^4\,d\,e^9-5040\,B\,a^5\,b^5\,d^3\,e^7+2520\,A\,a^5\,b^5\,d^2\,e^8+7350\,B\,a^4\,b^6\,d^4\,e^6-4200\,A\,a^4\,b^6\,d^3\,e^7-6720\,B\,a^3\,b^7\,d^5\,e^5+4200\,A\,a^3\,b^7\,d^4\,e^6+3780\,B\,a^2\,b^8\,d^6\,e^4-2520\,A\,a^2\,b^8\,d^5\,e^5-1200\,B\,a\,b^9\,d^7\,e^3+840\,A\,a\,b^9\,d^6\,e^4+165\,B\,b^{10}\,d^8\,e^2-120\,A\,b^{10}\,d^7\,e^3\right)+\frac{B\,a^{10}\,d\,e^{10}+3\,A\,a^{10}\,e^{11}+10\,B\,a^9\,b\,d^2\,e^9+10\,A\,a^9\,b\,d\,e^{10}+135\,B\,a^8\,b^2\,d^3\,e^8+45\,A\,a^8\,b^2\,d^2\,e^9-3000\,B\,a^7\,b^3\,d^4\,e^7+360\,A\,a^7\,b^3\,d^3\,e^8+16170\,B\,a^6\,b^4\,d^5\,e^6-5250\,A\,a^6\,b^4\,d^4\,e^7-43092\,B\,a^5\,b^5\,d^6\,e^5+19404\,A\,a^5\,b^5\,d^5\,e^6+66990\,B\,a^4\,b^6\,d^7\,e^4-35910\,A\,a^4\,b^6\,d^6\,e^5-63960\,B\,a^3\,b^7\,d^8\,e^3+38280\,A\,a^3\,b^7\,d^7\,e^4+37125\,B\,a^2\,b^8\,d^9\,e^2-23985\,A\,a^2\,b^8\,d^8\,e^3-12070\,B\,a\,b^9\,d^{10}\,e+8250\,A\,a\,b^9\,d^9\,e^2+1691\,B\,b^{10}\,d^{11}-1207\,A\,b^{10}\,d^{10}\,e}{12\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{3}+\frac{10\,B\,a^9\,b\,d\,e^9}{3}+\frac{10\,A\,a^9\,b\,e^{10}}{3}+45\,B\,a^8\,b^2\,d^2\,e^8+15\,A\,a^8\,b^2\,d\,e^9-880\,B\,a^7\,b^3\,d^3\,e^7+120\,A\,a^7\,b^3\,d^2\,e^8+4550\,B\,a^6\,b^4\,d^4\,e^6-1540\,A\,a^6\,b^4\,d^3\,e^7-11844\,B\,a^5\,b^5\,d^5\,e^5+5460\,A\,a^5\,b^5\,d^4\,e^6+18130\,B\,a^4\,b^6\,d^6\,e^4-9870\,A\,a^4\,b^6\,d^5\,e^5-17120\,B\,a^3\,b^7\,d^7\,e^3+10360\,A\,a^3\,b^7\,d^6\,e^4+9855\,B\,a^2\,b^8\,d^8\,e^2-6420\,A\,a^2\,b^8\,d^7\,e^3-\frac{9550\,B\,a\,b^9\,d^9\,e}{3}+2190\,A\,a\,b^9\,d^8\,e^2+\frac{1331\,B\,b^{10}\,d^{10}}{3}-\frac{955\,A\,b^{10}\,d^9\,e}{3}\right)+x^2\,\left(5\,B\,a^9\,b\,e^{10}+\frac{135\,B\,a^8\,b^2\,d\,e^9}{2}+\frac{45\,A\,a^8\,b^2\,e^{10}}{2}-1080\,B\,a^7\,b^3\,d^2\,e^8+180\,A\,a^7\,b^3\,d\,e^9+5250\,B\,a^6\,b^4\,d^3\,e^7-1890\,A\,a^6\,b^4\,d^2\,e^8-13230\,B\,a^5\,b^5\,d^4\,e^6+6300\,A\,a^5\,b^5\,d^3\,e^7+19845\,B\,a^4\,b^6\,d^5\,e^5-11025\,A\,a^4\,b^6\,d^4\,e^6-18480\,B\,a^3\,b^7\,d^6\,e^4+11340\,A\,a^3\,b^7\,d^5\,e^5+10530\,B\,a^2\,b^8\,d^7\,e^3-6930\,A\,a^2\,b^8\,d^6\,e^4-3375\,B\,a\,b^9\,d^8\,e^2+2340\,A\,a\,b^9\,d^7\,e^3+\frac{935\,B\,b^{10}\,d^9\,e}{2}-\frac{675\,A\,b^{10}\,d^8\,e^2}{2}\right)}{d^4\,e^{11}+4\,d^3\,e^{12}\,x+6\,d^2\,e^{13}\,x^2+4\,d\,e^{14}\,x^3+e^{15}\,x^4}-x^4\,\left(\frac{5\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{2\,e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{4\,e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{4\,e^5}+\frac{5\,B\,b^{10}\,d^3}{2\,e^8}\right)+x^6\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{6\,e^5}-\frac{5\,B\,b^{10}\,d}{6\,e^6}\right)+x^3\,\left(\frac{5\,d\,\left(\frac{10\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e^2}-\frac{5\,d\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^3}{e^8}\right)}{3\,e}-\frac{10\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{3\,e^3}+\frac{10\,d^2\,\left(\frac{5\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^5}-\frac{5\,B\,b^{10}\,d}{e^6}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^5}+\frac{10\,B\,b^{10}\,d^2}{e^7}\right)}{3\,e^2}+\frac{10\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^5}-\frac{5\,B\,b^{10}\,d^4}{3\,e^9}\right)+\frac{\ln\left(d+e\,x\right)\,\left(120\,B\,a^7\,b^3\,e^7-1050\,B\,a^6\,b^4\,d\,e^6+210\,A\,a^6\,b^4\,e^7+3780\,B\,a^5\,b^5\,d^2\,e^5-1260\,A\,a^5\,b^5\,d\,e^6-7350\,B\,a^4\,b^6\,d^3\,e^4+3150\,A\,a^4\,b^6\,d^2\,e^5+8400\,B\,a^3\,b^7\,d^4\,e^3-4200\,A\,a^3\,b^7\,d^3\,e^4-5670\,B\,a^2\,b^8\,d^5\,e^2+3150\,A\,a^2\,b^8\,d^4\,e^3+2100\,B\,a\,b^9\,d^6\,e-1260\,A\,a\,b^9\,d^5\,e^2-330\,B\,b^{10}\,d^7+210\,A\,b^{10}\,d^6\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^7}{7\,e^5}","Not used",1,"x*((10*d^3*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/e^3 - (d^5*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^5 - (10*d^2*((5*d*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/e - (10*d^3*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^3 + (10*d^2*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^5 - (5*B*b^10*d^4)/e^9))/e^2 + (5*d*((5*d*((5*d*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/e - (10*d^3*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^3 + (10*d^2*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^5 - (5*B*b^10*d^4)/e^9))/e - (10*d^2*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/e^2 + (5*d^4*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^4 - (10*d^3*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e^3 - (42*a^4*b^5*(5*A*b + 6*B*a))/e^5 + (B*b^10*d^5)/e^10))/e + (5*d^4*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e^4 + (42*a^5*b^4*(6*A*b + 5*B*a))/e^5) - x^5*((d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (a*b^8*(2*A*b + 9*B*a))/e^5 + (2*B*b^10*d^2)/e^7) - x^2*((5*d*((5*d*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/e - (10*d^3*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^3 + (10*d^2*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^5 - (5*B*b^10*d^4)/e^9))/(2*e) - (5*d^2*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/e^2 + (5*d^4*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/(2*e^4) - (5*d^3*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e^3 - (21*a^4*b^5*(5*A*b + 6*B*a))/e^5 + (B*b^10*d^5)/(2*e^10)) - (x^3*(120*A*a^7*b^3*e^10 + 45*B*a^8*b^2*e^10 - 120*A*b^10*d^7*e^3 + 165*B*b^10*d^8*e^2 + 840*A*a*b^9*d^6*e^4 - 840*A*a^6*b^4*d*e^9 - 1200*B*a*b^9*d^7*e^3 - 480*B*a^7*b^3*d*e^9 - 2520*A*a^2*b^8*d^5*e^5 + 4200*A*a^3*b^7*d^4*e^6 - 4200*A*a^4*b^6*d^3*e^7 + 2520*A*a^5*b^5*d^2*e^8 + 3780*B*a^2*b^8*d^6*e^4 - 6720*B*a^3*b^7*d^5*e^5 + 7350*B*a^4*b^6*d^4*e^6 - 5040*B*a^5*b^5*d^3*e^7 + 2100*B*a^6*b^4*d^2*e^8) + (3*A*a^10*e^11 + 1691*B*b^10*d^11 - 1207*A*b^10*d^10*e + B*a^10*d*e^10 + 8250*A*a*b^9*d^9*e^2 + 10*B*a^9*b*d^2*e^9 - 23985*A*a^2*b^8*d^8*e^3 + 38280*A*a^3*b^7*d^7*e^4 - 35910*A*a^4*b^6*d^6*e^5 + 19404*A*a^5*b^5*d^5*e^6 - 5250*A*a^6*b^4*d^4*e^7 + 360*A*a^7*b^3*d^3*e^8 + 45*A*a^8*b^2*d^2*e^9 + 37125*B*a^2*b^8*d^9*e^2 - 63960*B*a^3*b^7*d^8*e^3 + 66990*B*a^4*b^6*d^7*e^4 - 43092*B*a^5*b^5*d^6*e^5 + 16170*B*a^6*b^4*d^5*e^6 - 3000*B*a^7*b^3*d^4*e^7 + 135*B*a^8*b^2*d^3*e^8 + 10*A*a^9*b*d*e^10 - 12070*B*a*b^9*d^10*e)/(12*e) + x*((B*a^10*e^10)/3 + (1331*B*b^10*d^10)/3 + (10*A*a^9*b*e^10)/3 - (955*A*b^10*d^9*e)/3 + 2190*A*a*b^9*d^8*e^2 + 15*A*a^8*b^2*d*e^9 - 6420*A*a^2*b^8*d^7*e^3 + 10360*A*a^3*b^7*d^6*e^4 - 9870*A*a^4*b^6*d^5*e^5 + 5460*A*a^5*b^5*d^4*e^6 - 1540*A*a^6*b^4*d^3*e^7 + 120*A*a^7*b^3*d^2*e^8 + 9855*B*a^2*b^8*d^8*e^2 - 17120*B*a^3*b^7*d^7*e^3 + 18130*B*a^4*b^6*d^6*e^4 - 11844*B*a^5*b^5*d^5*e^5 + 4550*B*a^6*b^4*d^4*e^6 - 880*B*a^7*b^3*d^3*e^7 + 45*B*a^8*b^2*d^2*e^8 - (9550*B*a*b^9*d^9*e)/3 + (10*B*a^9*b*d*e^9)/3) + x^2*(5*B*a^9*b*e^10 + (935*B*b^10*d^9*e)/2 + (45*A*a^8*b^2*e^10)/2 - (675*A*b^10*d^8*e^2)/2 + 2340*A*a*b^9*d^7*e^3 + 180*A*a^7*b^3*d*e^9 - 3375*B*a*b^9*d^8*e^2 + (135*B*a^8*b^2*d*e^9)/2 - 6930*A*a^2*b^8*d^6*e^4 + 11340*A*a^3*b^7*d^5*e^5 - 11025*A*a^4*b^6*d^4*e^6 + 6300*A*a^5*b^5*d^3*e^7 - 1890*A*a^6*b^4*d^2*e^8 + 10530*B*a^2*b^8*d^7*e^3 - 18480*B*a^3*b^7*d^6*e^4 + 19845*B*a^4*b^6*d^5*e^5 - 13230*B*a^5*b^5*d^4*e^6 + 5250*B*a^6*b^4*d^3*e^7 - 1080*B*a^7*b^3*d^2*e^8))/(d^4*e^11 + e^15*x^4 + 4*d^3*e^12*x + 4*d*e^14*x^3 + 6*d^2*e^13*x^2) - x^4*((5*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/(2*e^2) - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/(4*e) - (15*a^2*b^7*(3*A*b + 8*B*a))/(4*e^5) + (5*B*b^10*d^3)/(2*e^8)) + x^6*((A*b^10 + 10*B*a*b^9)/(6*e^5) - (5*B*b^10*d)/(6*e^6)) + x^3*((5*d*((10*d^2*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e^2 - (5*d*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^5 + (10*B*b^10*d^3)/e^8))/(3*e) - (10*d^3*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/(3*e^3) + (10*d^2*((5*d*((A*b^10 + 10*B*a*b^9)/e^5 - (5*B*b^10*d)/e^6))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^5 + (10*B*b^10*d^2)/e^7))/(3*e^2) + (10*a^3*b^6*(4*A*b + 7*B*a))/e^5 - (5*B*b^10*d^4)/(3*e^9)) + (log(d + e*x)*(210*A*b^10*d^6*e - 330*B*b^10*d^7 + 210*A*a^6*b^4*e^7 + 120*B*a^7*b^3*e^7 - 1260*A*a*b^9*d^5*e^2 - 1260*A*a^5*b^5*d*e^6 - 1050*B*a^6*b^4*d*e^6 + 3150*A*a^2*b^8*d^4*e^3 - 4200*A*a^3*b^7*d^3*e^4 + 3150*A*a^4*b^6*d^2*e^5 - 5670*B*a^2*b^8*d^5*e^2 + 8400*B*a^3*b^7*d^4*e^3 - 7350*B*a^4*b^6*d^3*e^4 + 3780*B*a^5*b^5*d^2*e^5 + 2100*B*a*b^9*d^6*e))/e^12 + (B*b^10*x^7)/(7*e^5)","B"
1094,1,2681,447,0.424516,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^6,x)","x^5\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{5\,e^6}-\frac{6\,B\,b^{10}\,d}{5\,e^7}\right)-x^4\,\left(\frac{3\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{2\,e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{4\,e^6}+\frac{15\,B\,b^{10}\,d^2}{4\,e^8}\right)-\frac{x^4\,\left(120\,B\,a^7\,b^3\,e^{10}-1050\,B\,a^6\,b^4\,d\,e^9+210\,A\,a^6\,b^4\,e^{10}+3780\,B\,a^5\,b^5\,d^2\,e^8-1260\,A\,a^5\,b^5\,d\,e^9-7350\,B\,a^4\,b^6\,d^3\,e^7+3150\,A\,a^4\,b^6\,d^2\,e^8+8400\,B\,a^3\,b^7\,d^4\,e^6-4200\,A\,a^3\,b^7\,d^3\,e^7-5670\,B\,a^2\,b^8\,d^5\,e^5+3150\,A\,a^2\,b^8\,d^4\,e^6+2100\,B\,a\,b^9\,d^6\,e^4-1260\,A\,a\,b^9\,d^5\,e^5-330\,B\,b^{10}\,d^7\,e^3+210\,A\,b^{10}\,d^6\,e^4\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2\,e^{10}}{2}+240\,B\,a^7\,b^3\,d\,e^9+60\,A\,a^7\,b^3\,e^{10}-3150\,B\,a^6\,b^4\,d^2\,e^8+420\,A\,a^6\,b^4\,d\,e^9+12600\,B\,a^5\,b^5\,d^3\,e^7-3780\,A\,a^5\,b^5\,d^2\,e^8-25725\,B\,a^4\,b^6\,d^4\,e^6+10500\,A\,a^4\,b^6\,d^3\,e^7+30240\,B\,a^3\,b^7\,d^5\,e^5-14700\,A\,a^3\,b^7\,d^4\,e^6-20790\,B\,a^2\,b^8\,d^6\,e^4+11340\,A\,a^2\,b^8\,d^5\,e^5+7800\,B\,a\,b^9\,d^7\,e^3-4620\,A\,a\,b^9\,d^6\,e^4-\frac{2475\,B\,b^{10}\,d^8\,e^2}{2}+780\,A\,b^{10}\,d^7\,e^3\right)+\frac{3\,B\,a^{10}\,d\,e^{10}+12\,A\,a^{10}\,e^{11}+20\,B\,a^9\,b\,d^2\,e^9+30\,A\,a^9\,b\,d\,e^{10}+135\,B\,a^8\,b^2\,d^3\,e^8+90\,A\,a^8\,b^2\,d^2\,e^9+1440\,B\,a^7\,b^3\,d^4\,e^7+360\,A\,a^7\,b^3\,d^3\,e^8-28770\,B\,a^6\,b^4\,d^5\,e^6+2520\,A\,a^6\,b^4\,d^4\,e^7+131544\,B\,a^5\,b^5\,d^6\,e^5-34524\,A\,a^5\,b^5\,d^5\,e^6-289170\,B\,a^4\,b^6\,d^7\,e^4+109620\,A\,a^4\,b^6\,d^6\,e^5+356640\,B\,a^3\,b^7\,d^8\,e^3-165240\,A\,a^3\,b^7\,d^7\,e^4-253665\,B\,a^2\,b^8\,d^9\,e^2+133740\,A\,a^2\,b^8\,d^8\,e^3+97620\,B\,a\,b^9\,d^{10}\,e-56370\,A\,a\,b^9\,d^9\,e^2-15797\,B\,b^{10}\,d^{11}+9762\,A\,b^{10}\,d^{10}\,e}{60\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{4}+\frac{5\,B\,a^9\,b\,d\,e^9}{3}+\frac{5\,A\,a^9\,b\,e^{10}}{2}+\frac{45\,B\,a^8\,b^2\,d^2\,e^8}{4}+\frac{15\,A\,a^8\,b^2\,d\,e^9}{2}+120\,B\,a^7\,b^3\,d^3\,e^7+30\,A\,a^7\,b^3\,d^2\,e^8-\frac{4375\,B\,a^6\,b^4\,d^4\,e^6}{2}+210\,A\,a^6\,b^4\,d^3\,e^7+9702\,B\,a^5\,b^5\,d^5\,e^5-2625\,A\,a^5\,b^5\,d^4\,e^6-\frac{41895\,B\,a^4\,b^6\,d^6\,e^4}{2}+8085\,A\,a^4\,b^6\,d^5\,e^5+25520\,B\,a^3\,b^7\,d^7\,e^3-11970\,A\,a^3\,b^7\,d^6\,e^4-\frac{71955\,B\,a^2\,b^8\,d^8\,e^2}{4}+9570\,A\,a^2\,b^8\,d^7\,e^3+6875\,B\,a\,b^9\,d^9\,e-\frac{7995\,A\,a\,b^9\,d^8\,e^2}{2}-\frac{13277\,B\,b^{10}\,d^{10}}{12}+\frac{1375\,A\,b^{10}\,d^9\,e}{2}\right)+x^2\,\left(\frac{10\,B\,a^9\,b\,e^{10}}{3}+\frac{45\,B\,a^8\,b^2\,d\,e^9}{2}+15\,A\,a^8\,b^2\,e^{10}+240\,B\,a^7\,b^3\,d^2\,e^8+60\,A\,a^7\,b^3\,d\,e^9-3850\,B\,a^6\,b^4\,d^3\,e^7+420\,A\,a^6\,b^4\,d^2\,e^8+16380\,B\,a^5\,b^5\,d^4\,e^6-4620\,A\,a^5\,b^5\,d^3\,e^7-34545\,B\,a^4\,b^6\,d^5\,e^5+13650\,A\,a^4\,b^6\,d^4\,e^6+41440\,B\,a^3\,b^7\,d^6\,e^4-19740\,A\,a^3\,b^7\,d^5\,e^5-28890\,B\,a^2\,b^8\,d^7\,e^3+15540\,A\,a^2\,b^8\,d^6\,e^4+10950\,B\,a\,b^9\,d^8\,e^2-6420\,A\,a\,b^9\,d^7\,e^3-\frac{10505\,B\,b^{10}\,d^9\,e}{6}+1095\,A\,b^{10}\,d^8\,e^2\right)}{d^5\,e^{11}+5\,d^4\,e^{12}\,x+10\,d^3\,e^{13}\,x^2+10\,d^2\,e^{14}\,x^3+5\,d\,e^{15}\,x^4+e^{16}\,x^5}-x^3\,\left(\frac{5\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^2}-\frac{2\,d\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{e}-\frac{5\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^6}+\frac{20\,B\,b^{10}\,d^3}{3\,e^9}\right)-x\,\left(\frac{6\,d\,\left(\frac{6\,d\,\left(\frac{15\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^2}-\frac{6\,d\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^6}+\frac{20\,B\,b^{10}\,d^3}{e^9}\right)}{e}-\frac{20\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^3}+\frac{15\,d^2\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^6}-\frac{15\,B\,b^{10}\,d^4}{e^{10}}\right)}{e}-\frac{15\,d^2\,\left(\frac{15\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^2}-\frac{6\,d\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^6}+\frac{20\,B\,b^{10}\,d^3}{e^9}\right)}{e^2}+\frac{15\,d^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^4}-\frac{20\,d^3\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{e^3}-\frac{42\,a^4\,b^5\,\left(5\,A\,b+6\,B\,a\right)}{e^6}+\frac{6\,B\,b^{10}\,d^5}{e^{11}}\right)+x^2\,\left(\frac{3\,d\,\left(\frac{15\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^2}-\frac{6\,d\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^6}+\frac{20\,B\,b^{10}\,d^3}{e^9}\right)}{e}-\frac{10\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e^3}+\frac{15\,d^2\,\left(\frac{6\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^6}-\frac{6\,B\,b^{10}\,d}{e^7}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^6}+\frac{15\,B\,b^{10}\,d^2}{e^8}\right)}{2\,e^2}+\frac{15\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^6}-\frac{15\,B\,b^{10}\,d^4}{2\,e^{10}}\right)+\frac{\ln\left(d+e\,x\right)\,\left(210\,B\,a^6\,b^4\,e^6-1512\,B\,a^5\,b^5\,d\,e^5+252\,A\,a^5\,b^5\,e^6+4410\,B\,a^4\,b^6\,d^2\,e^4-1260\,A\,a^4\,b^6\,d\,e^5-6720\,B\,a^3\,b^7\,d^3\,e^3+2520\,A\,a^3\,b^7\,d^2\,e^4+5670\,B\,a^2\,b^8\,d^4\,e^2-2520\,A\,a^2\,b^8\,d^3\,e^3-2520\,B\,a\,b^9\,d^5\,e+1260\,A\,a\,b^9\,d^4\,e^2+462\,B\,b^{10}\,d^6-252\,A\,b^{10}\,d^5\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^6}{6\,e^6}","Not used",1,"x^5*((A*b^10 + 10*B*a*b^9)/(5*e^6) - (6*B*b^10*d)/(5*e^7)) - x^4*((3*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/(2*e) - (5*a*b^8*(2*A*b + 9*B*a))/(4*e^6) + (15*B*b^10*d^2)/(4*e^8)) - (x^4*(210*A*a^6*b^4*e^10 + 120*B*a^7*b^3*e^10 + 210*A*b^10*d^6*e^4 - 330*B*b^10*d^7*e^3 - 1260*A*a*b^9*d^5*e^5 - 1260*A*a^5*b^5*d*e^9 + 2100*B*a*b^9*d^6*e^4 - 1050*B*a^6*b^4*d*e^9 + 3150*A*a^2*b^8*d^4*e^6 - 4200*A*a^3*b^7*d^3*e^7 + 3150*A*a^4*b^6*d^2*e^8 - 5670*B*a^2*b^8*d^5*e^5 + 8400*B*a^3*b^7*d^4*e^6 - 7350*B*a^4*b^6*d^3*e^7 + 3780*B*a^5*b^5*d^2*e^8) + x^3*(60*A*a^7*b^3*e^10 + (45*B*a^8*b^2*e^10)/2 + 780*A*b^10*d^7*e^3 - (2475*B*b^10*d^8*e^2)/2 - 4620*A*a*b^9*d^6*e^4 + 420*A*a^6*b^4*d*e^9 + 7800*B*a*b^9*d^7*e^3 + 240*B*a^7*b^3*d*e^9 + 11340*A*a^2*b^8*d^5*e^5 - 14700*A*a^3*b^7*d^4*e^6 + 10500*A*a^4*b^6*d^3*e^7 - 3780*A*a^5*b^5*d^2*e^8 - 20790*B*a^2*b^8*d^6*e^4 + 30240*B*a^3*b^7*d^5*e^5 - 25725*B*a^4*b^6*d^4*e^6 + 12600*B*a^5*b^5*d^3*e^7 - 3150*B*a^6*b^4*d^2*e^8) + (12*A*a^10*e^11 - 15797*B*b^10*d^11 + 9762*A*b^10*d^10*e + 3*B*a^10*d*e^10 - 56370*A*a*b^9*d^9*e^2 + 20*B*a^9*b*d^2*e^9 + 133740*A*a^2*b^8*d^8*e^3 - 165240*A*a^3*b^7*d^7*e^4 + 109620*A*a^4*b^6*d^6*e^5 - 34524*A*a^5*b^5*d^5*e^6 + 2520*A*a^6*b^4*d^4*e^7 + 360*A*a^7*b^3*d^3*e^8 + 90*A*a^8*b^2*d^2*e^9 - 253665*B*a^2*b^8*d^9*e^2 + 356640*B*a^3*b^7*d^8*e^3 - 289170*B*a^4*b^6*d^7*e^4 + 131544*B*a^5*b^5*d^6*e^5 - 28770*B*a^6*b^4*d^5*e^6 + 1440*B*a^7*b^3*d^4*e^7 + 135*B*a^8*b^2*d^3*e^8 + 30*A*a^9*b*d*e^10 + 97620*B*a*b^9*d^10*e)/(60*e) + x*((B*a^10*e^10)/4 - (13277*B*b^10*d^10)/12 + (5*A*a^9*b*e^10)/2 + (1375*A*b^10*d^9*e)/2 - (7995*A*a*b^9*d^8*e^2)/2 + (15*A*a^8*b^2*d*e^9)/2 + 9570*A*a^2*b^8*d^7*e^3 - 11970*A*a^3*b^7*d^6*e^4 + 8085*A*a^4*b^6*d^5*e^5 - 2625*A*a^5*b^5*d^4*e^6 + 210*A*a^6*b^4*d^3*e^7 + 30*A*a^7*b^3*d^2*e^8 - (71955*B*a^2*b^8*d^8*e^2)/4 + 25520*B*a^3*b^7*d^7*e^3 - (41895*B*a^4*b^6*d^6*e^4)/2 + 9702*B*a^5*b^5*d^5*e^5 - (4375*B*a^6*b^4*d^4*e^6)/2 + 120*B*a^7*b^3*d^3*e^7 + (45*B*a^8*b^2*d^2*e^8)/4 + 6875*B*a*b^9*d^9*e + (5*B*a^9*b*d*e^9)/3) + x^2*((10*B*a^9*b*e^10)/3 - (10505*B*b^10*d^9*e)/6 + 15*A*a^8*b^2*e^10 + 1095*A*b^10*d^8*e^2 - 6420*A*a*b^9*d^7*e^3 + 60*A*a^7*b^3*d*e^9 + 10950*B*a*b^9*d^8*e^2 + (45*B*a^8*b^2*d*e^9)/2 + 15540*A*a^2*b^8*d^6*e^4 - 19740*A*a^3*b^7*d^5*e^5 + 13650*A*a^4*b^6*d^4*e^6 - 4620*A*a^5*b^5*d^3*e^7 + 420*A*a^6*b^4*d^2*e^8 - 28890*B*a^2*b^8*d^7*e^3 + 41440*B*a^3*b^7*d^6*e^4 - 34545*B*a^4*b^6*d^5*e^5 + 16380*B*a^5*b^5*d^4*e^6 - 3850*B*a^6*b^4*d^3*e^7 + 240*B*a^7*b^3*d^2*e^8))/(d^5*e^11 + e^16*x^5 + 5*d^4*e^12*x + 5*d*e^15*x^4 + 10*d^3*e^13*x^2 + 10*d^2*e^14*x^3) - x^3*((5*d^2*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^2 - (2*d*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/e - (5*a^2*b^7*(3*A*b + 8*B*a))/e^6 + (20*B*b^10*d^3)/(3*e^9)) - x*((6*d*((6*d*((15*d^2*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^2 - (6*d*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^6 + (20*B*b^10*d^3)/e^9))/e - (20*d^3*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^3 + (15*d^2*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^6 - (15*B*b^10*d^4)/e^10))/e - (15*d^2*((15*d^2*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^2 - (6*d*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^6 + (20*B*b^10*d^3)/e^9))/e^2 + (15*d^4*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^4 - (20*d^3*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/e^3 - (42*a^4*b^5*(5*A*b + 6*B*a))/e^6 + (6*B*b^10*d^5)/e^11) + x^2*((3*d*((15*d^2*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^2 - (6*d*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^6 + (20*B*b^10*d^3)/e^9))/e - (10*d^3*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e^3 + (15*d^2*((6*d*((A*b^10 + 10*B*a*b^9)/e^6 - (6*B*b^10*d)/e^7))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^6 + (15*B*b^10*d^2)/e^8))/(2*e^2) + (15*a^3*b^6*(4*A*b + 7*B*a))/e^6 - (15*B*b^10*d^4)/(2*e^10)) + (log(d + e*x)*(462*B*b^10*d^6 - 252*A*b^10*d^5*e + 252*A*a^5*b^5*e^6 + 210*B*a^6*b^4*e^6 + 1260*A*a*b^9*d^4*e^2 - 1260*A*a^4*b^6*d*e^5 - 1512*B*a^5*b^5*d*e^5 - 2520*A*a^2*b^8*d^3*e^3 + 2520*A*a^3*b^7*d^2*e^4 + 5670*B*a^2*b^8*d^4*e^2 - 6720*B*a^3*b^7*d^3*e^3 + 4410*B*a^4*b^6*d^2*e^4 - 2520*B*a*b^9*d^5*e))/e^12 + (B*b^10*x^6)/(6*e^6)","B"
1095,1,2252,447,1.489259,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^7,x)","x\,\left(\frac{7\,d\,\left(\frac{21\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{e^2}-\frac{7\,d\,\left(\frac{7\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^7}+\frac{21\,B\,b^{10}\,d^2}{e^9}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^7}+\frac{35\,B\,b^{10}\,d^3}{e^{10}}\right)}{e}-\frac{35\,d^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{e^3}+\frac{21\,d^2\,\left(\frac{7\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^7}+\frac{21\,B\,b^{10}\,d^2}{e^9}\right)}{e^2}+\frac{30\,a^3\,b^6\,\left(4\,A\,b+7\,B\,a\right)}{e^7}-\frac{35\,B\,b^{10}\,d^4}{e^{11}}\right)-x^3\,\left(\frac{7\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{3\,e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{3\,e^7}+\frac{7\,B\,b^{10}\,d^2}{e^9}\right)-x^2\,\left(\frac{21\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{2\,e^2}-\frac{7\,d\,\left(\frac{7\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^7}-\frac{7\,B\,b^{10}\,d}{e^8}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^7}+\frac{21\,B\,b^{10}\,d^2}{e^9}\right)}{2\,e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{2\,e^7}+\frac{35\,B\,b^{10}\,d^3}{2\,e^{10}}\right)+x^4\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{4\,e^7}-\frac{7\,B\,b^{10}\,d}{4\,e^8}\right)-\frac{x^4\,\left(60\,B\,a^7\,b^3\,e^{10}+525\,B\,a^6\,b^4\,d\,e^9+105\,A\,a^6\,b^4\,e^{10}-5670\,B\,a^5\,b^5\,d^2\,e^8+630\,A\,a^5\,b^5\,d\,e^9+18375\,B\,a^4\,b^6\,d^3\,e^7-4725\,A\,a^4\,b^6\,d^2\,e^8-29400\,B\,a^3\,b^7\,d^4\,e^6+10500\,A\,a^3\,b^7\,d^3\,e^7+25515\,B\,a^2\,b^8\,d^5\,e^5-11025\,A\,a^2\,b^8\,d^4\,e^6-11550\,B\,a\,b^9\,d^6\,e^4+5670\,A\,a\,b^9\,d^5\,e^5+2145\,B\,b^{10}\,d^7\,e^3-1155\,A\,b^{10}\,d^6\,e^4\right)+x^3\,\left(15\,B\,a^8\,b^2\,e^{10}+80\,B\,a^7\,b^3\,d\,e^9+40\,A\,a^7\,b^3\,e^{10}+700\,B\,a^6\,b^4\,d^2\,e^8+140\,A\,a^6\,b^4\,d\,e^9-9240\,B\,a^5\,b^5\,d^3\,e^7+840\,A\,a^5\,b^5\,d^2\,e^8+31850\,B\,a^4\,b^6\,d^4\,e^6-7700\,A\,a^4\,b^6\,d^3\,e^7-52640\,B\,a^3\,b^7\,d^5\,e^5+18200\,A\,a^3\,b^7\,d^4\,e^6+46620\,B\,a^2\,b^8\,d^6\,e^4-19740\,A\,a^2\,b^8\,d^5\,e^5-21400\,B\,a\,b^9\,d^7\,e^3+10360\,A\,a\,b^9\,d^6\,e^4+4015\,B\,b^{10}\,d^8\,e^2-2140\,A\,b^{10}\,d^7\,e^3\right)+\frac{2\,B\,a^{10}\,d\,e^{10}+10\,A\,a^{10}\,e^{11}+10\,B\,a^9\,b\,d^2\,e^9+20\,A\,a^9\,b\,d\,e^{10}+45\,B\,a^8\,b^2\,d^3\,e^8+45\,A\,a^8\,b^2\,d^2\,e^9+240\,B\,a^7\,b^3\,d^4\,e^7+120\,A\,a^7\,b^3\,d^3\,e^8+2100\,B\,a^6\,b^4\,d^5\,e^6+420\,A\,a^6\,b^4\,d^4\,e^7-37044\,B\,a^5\,b^5\,d^6\,e^5+2520\,A\,a^5\,b^5\,d^5\,e^6+140490\,B\,a^4\,b^6\,d^7\,e^4-30870\,A\,a^4\,b^6\,d^6\,e^5-245520\,B\,a^3\,b^7\,d^8\,e^3+80280\,A\,a^3\,b^7\,d^7\,e^4+225810\,B\,a^2\,b^8\,d^9\,e^2-92070\,A\,a^2\,b^8\,d^8\,e^3-106550\,B\,a\,b^9\,d^{10}\,e+50180\,A\,a\,b^9\,d^9\,e^2+20417\,B\,b^{10}\,d^{11}-10655\,A\,b^{10}\,d^{10}\,e}{60\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{5}+B\,a^9\,b\,d\,e^9+2\,A\,a^9\,b\,e^{10}+\frac{9\,B\,a^8\,b^2\,d^2\,e^8}{2}+\frac{9\,A\,a^8\,b^2\,d\,e^9}{2}+24\,B\,a^7\,b^3\,d^3\,e^7+12\,A\,a^7\,b^3\,d^2\,e^8+210\,B\,a^6\,b^4\,d^4\,e^6+42\,A\,a^6\,b^4\,d^3\,e^7-\frac{17262\,B\,a^5\,b^5\,d^5\,e^5}{5}+252\,A\,a^5\,b^5\,d^4\,e^6+12789\,B\,a^4\,b^6\,d^6\,e^4-2877\,A\,a^4\,b^6\,d^5\,e^5-22032\,B\,a^3\,b^7\,d^7\,e^3+7308\,A\,a^3\,b^7\,d^6\,e^4+20061\,B\,a^2\,b^8\,d^8\,e^2-8262\,A\,a^2\,b^8\,d^7\,e^3-9395\,B\,a\,b^9\,d^9\,e+4458\,A\,a\,b^9\,d^8\,e^2+\frac{17897\,B\,b^{10}\,d^{10}}{10}-\frac{1879\,A\,b^{10}\,d^9\,e}{2}\right)+x^5\,\left(210\,B\,a^6\,b^4\,e^{10}-1512\,B\,a^5\,b^5\,d\,e^9+252\,A\,a^5\,b^5\,e^{10}+4410\,B\,a^4\,b^6\,d^2\,e^8-1260\,A\,a^4\,b^6\,d\,e^9-6720\,B\,a^3\,b^7\,d^3\,e^7+2520\,A\,a^3\,b^7\,d^2\,e^8+5670\,B\,a^2\,b^8\,d^4\,e^6-2520\,A\,a^2\,b^8\,d^3\,e^7-2520\,B\,a\,b^9\,d^5\,e^5+1260\,A\,a\,b^9\,d^4\,e^6+462\,B\,b^{10}\,d^6\,e^4-252\,A\,b^{10}\,d^5\,e^5\right)+x^2\,\left(\frac{5\,B\,a^9\,b\,e^{10}}{2}+\frac{45\,B\,a^8\,b^2\,d\,e^9}{4}+\frac{45\,A\,a^8\,b^2\,e^{10}}{4}+60\,B\,a^7\,b^3\,d^2\,e^8+30\,A\,a^7\,b^3\,d\,e^9+525\,B\,a^6\,b^4\,d^3\,e^7+105\,A\,a^6\,b^4\,d^2\,e^8-7875\,B\,a^5\,b^5\,d^4\,e^6+630\,A\,a^5\,b^5\,d^3\,e^7+\frac{56595\,B\,a^4\,b^6\,d^5\,e^5}{2}-\frac{13125\,A\,a^4\,b^6\,d^4\,e^6}{2}-47880\,B\,a^3\,b^7\,d^6\,e^4+16170\,A\,a^3\,b^7\,d^5\,e^5+43065\,B\,a^2\,b^8\,d^7\,e^3-17955\,A\,a^2\,b^8\,d^6\,e^4-\frac{39975\,B\,a\,b^9\,d^8\,e^2}{2}+9570\,A\,a\,b^9\,d^7\,e^3+\frac{15125\,B\,b^{10}\,d^9\,e}{4}-\frac{7995\,A\,b^{10}\,d^8\,e^2}{4}\right)}{d^6\,e^{11}+6\,d^5\,e^{12}\,x+15\,d^4\,e^{13}\,x^2+20\,d^3\,e^{14}\,x^3+15\,d^2\,e^{15}\,x^4+6\,d\,e^{16}\,x^5+e^{17}\,x^6}+\frac{\ln\left(d+e\,x\right)\,\left(252\,B\,a^5\,b^5\,e^5-1470\,B\,a^4\,b^6\,d\,e^4+210\,A\,a^4\,b^6\,e^5+3360\,B\,a^3\,b^7\,d^2\,e^3-840\,A\,a^3\,b^7\,d\,e^4-3780\,B\,a^2\,b^8\,d^3\,e^2+1260\,A\,a^2\,b^8\,d^2\,e^3+2100\,B\,a\,b^9\,d^4\,e-840\,A\,a\,b^9\,d^3\,e^2-462\,B\,b^{10}\,d^5+210\,A\,b^{10}\,d^4\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^5}{5\,e^7}","Not used",1,"x*((7*d*((21*d^2*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/e^2 - (7*d*((7*d*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^7 + (21*B*b^10*d^2)/e^9))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^7 + (35*B*b^10*d^3)/e^10))/e - (35*d^3*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/e^3 + (21*d^2*((7*d*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^7 + (21*B*b^10*d^2)/e^9))/e^2 + (30*a^3*b^6*(4*A*b + 7*B*a))/e^7 - (35*B*b^10*d^4)/e^11) - x^3*((7*d*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/(3*e) - (5*a*b^8*(2*A*b + 9*B*a))/(3*e^7) + (7*B*b^10*d^2)/e^9) - x^2*((21*d^2*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/(2*e^2) - (7*d*((7*d*((A*b^10 + 10*B*a*b^9)/e^7 - (7*B*b^10*d)/e^8))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^7 + (21*B*b^10*d^2)/e^9))/(2*e) - (15*a^2*b^7*(3*A*b + 8*B*a))/(2*e^7) + (35*B*b^10*d^3)/(2*e^10)) + x^4*((A*b^10 + 10*B*a*b^9)/(4*e^7) - (7*B*b^10*d)/(4*e^8)) - (x^4*(105*A*a^6*b^4*e^10 + 60*B*a^7*b^3*e^10 - 1155*A*b^10*d^6*e^4 + 2145*B*b^10*d^7*e^3 + 5670*A*a*b^9*d^5*e^5 + 630*A*a^5*b^5*d*e^9 - 11550*B*a*b^9*d^6*e^4 + 525*B*a^6*b^4*d*e^9 - 11025*A*a^2*b^8*d^4*e^6 + 10500*A*a^3*b^7*d^3*e^7 - 4725*A*a^4*b^6*d^2*e^8 + 25515*B*a^2*b^8*d^5*e^5 - 29400*B*a^3*b^7*d^4*e^6 + 18375*B*a^4*b^6*d^3*e^7 - 5670*B*a^5*b^5*d^2*e^8) + x^3*(40*A*a^7*b^3*e^10 + 15*B*a^8*b^2*e^10 - 2140*A*b^10*d^7*e^3 + 4015*B*b^10*d^8*e^2 + 10360*A*a*b^9*d^6*e^4 + 140*A*a^6*b^4*d*e^9 - 21400*B*a*b^9*d^7*e^3 + 80*B*a^7*b^3*d*e^9 - 19740*A*a^2*b^8*d^5*e^5 + 18200*A*a^3*b^7*d^4*e^6 - 7700*A*a^4*b^6*d^3*e^7 + 840*A*a^5*b^5*d^2*e^8 + 46620*B*a^2*b^8*d^6*e^4 - 52640*B*a^3*b^7*d^5*e^5 + 31850*B*a^4*b^6*d^4*e^6 - 9240*B*a^5*b^5*d^3*e^7 + 700*B*a^6*b^4*d^2*e^8) + (10*A*a^10*e^11 + 20417*B*b^10*d^11 - 10655*A*b^10*d^10*e + 2*B*a^10*d*e^10 + 50180*A*a*b^9*d^9*e^2 + 10*B*a^9*b*d^2*e^9 - 92070*A*a^2*b^8*d^8*e^3 + 80280*A*a^3*b^7*d^7*e^4 - 30870*A*a^4*b^6*d^6*e^5 + 2520*A*a^5*b^5*d^5*e^6 + 420*A*a^6*b^4*d^4*e^7 + 120*A*a^7*b^3*d^3*e^8 + 45*A*a^8*b^2*d^2*e^9 + 225810*B*a^2*b^8*d^9*e^2 - 245520*B*a^3*b^7*d^8*e^3 + 140490*B*a^4*b^6*d^7*e^4 - 37044*B*a^5*b^5*d^6*e^5 + 2100*B*a^6*b^4*d^5*e^6 + 240*B*a^7*b^3*d^4*e^7 + 45*B*a^8*b^2*d^3*e^8 + 20*A*a^9*b*d*e^10 - 106550*B*a*b^9*d^10*e)/(60*e) + x*((B*a^10*e^10)/5 + (17897*B*b^10*d^10)/10 + 2*A*a^9*b*e^10 - (1879*A*b^10*d^9*e)/2 + 4458*A*a*b^9*d^8*e^2 + (9*A*a^8*b^2*d*e^9)/2 - 8262*A*a^2*b^8*d^7*e^3 + 7308*A*a^3*b^7*d^6*e^4 - 2877*A*a^4*b^6*d^5*e^5 + 252*A*a^5*b^5*d^4*e^6 + 42*A*a^6*b^4*d^3*e^7 + 12*A*a^7*b^3*d^2*e^8 + 20061*B*a^2*b^8*d^8*e^2 - 22032*B*a^3*b^7*d^7*e^3 + 12789*B*a^4*b^6*d^6*e^4 - (17262*B*a^5*b^5*d^5*e^5)/5 + 210*B*a^6*b^4*d^4*e^6 + 24*B*a^7*b^3*d^3*e^7 + (9*B*a^8*b^2*d^2*e^8)/2 - 9395*B*a*b^9*d^9*e + B*a^9*b*d*e^9) + x^5*(252*A*a^5*b^5*e^10 + 210*B*a^6*b^4*e^10 - 252*A*b^10*d^5*e^5 + 462*B*b^10*d^6*e^4 + 1260*A*a*b^9*d^4*e^6 - 1260*A*a^4*b^6*d*e^9 - 2520*B*a*b^9*d^5*e^5 - 1512*B*a^5*b^5*d*e^9 - 2520*A*a^2*b^8*d^3*e^7 + 2520*A*a^3*b^7*d^2*e^8 + 5670*B*a^2*b^8*d^4*e^6 - 6720*B*a^3*b^7*d^3*e^7 + 4410*B*a^4*b^6*d^2*e^8) + x^2*((5*B*a^9*b*e^10)/2 + (15125*B*b^10*d^9*e)/4 + (45*A*a^8*b^2*e^10)/4 - (7995*A*b^10*d^8*e^2)/4 + 9570*A*a*b^9*d^7*e^3 + 30*A*a^7*b^3*d*e^9 - (39975*B*a*b^9*d^8*e^2)/2 + (45*B*a^8*b^2*d*e^9)/4 - 17955*A*a^2*b^8*d^6*e^4 + 16170*A*a^3*b^7*d^5*e^5 - (13125*A*a^4*b^6*d^4*e^6)/2 + 630*A*a^5*b^5*d^3*e^7 + 105*A*a^6*b^4*d^2*e^8 + 43065*B*a^2*b^8*d^7*e^3 - 47880*B*a^3*b^7*d^6*e^4 + (56595*B*a^4*b^6*d^5*e^5)/2 - 7875*B*a^5*b^5*d^4*e^6 + 525*B*a^6*b^4*d^3*e^7 + 60*B*a^7*b^3*d^2*e^8))/(d^6*e^11 + e^17*x^6 + 6*d^5*e^12*x + 6*d*e^16*x^5 + 15*d^4*e^13*x^2 + 20*d^3*e^14*x^3 + 15*d^2*e^15*x^4) + (log(d + e*x)*(210*A*b^10*d^4*e - 462*B*b^10*d^5 + 210*A*a^4*b^6*e^5 + 252*B*a^5*b^5*e^5 - 840*A*a*b^9*d^3*e^2 - 840*A*a^3*b^7*d*e^4 - 1470*B*a^4*b^6*d*e^4 + 1260*A*a^2*b^8*d^2*e^3 - 3780*B*a^2*b^8*d^3*e^2 + 3360*B*a^3*b^7*d^2*e^3 + 2100*B*a*b^9*d^4*e))/e^12 + (B*b^10*x^5)/(5*e^7)","B"
1096,1,2092,444,1.489018,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^8,x)","x^3\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{3\,e^8}-\frac{8\,B\,b^{10}\,d}{3\,e^9}\right)-x\,\left(\frac{28\,d^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^8}-\frac{8\,B\,b^{10}\,d}{e^9}\right)}{e^2}-\frac{8\,d\,\left(\frac{8\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^8}-\frac{8\,B\,b^{10}\,d}{e^9}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^8}+\frac{28\,B\,b^{10}\,d^2}{e^{10}}\right)}{e}-\frac{15\,a^2\,b^7\,\left(3\,A\,b+8\,B\,a\right)}{e^8}+\frac{56\,B\,b^{10}\,d^3}{e^{11}}\right)-x^2\,\left(\frac{4\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^8}-\frac{8\,B\,b^{10}\,d}{e^9}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{2\,e^8}+\frac{14\,B\,b^{10}\,d^2}{e^{10}}\right)-\frac{x^4\,\left(40\,B\,a^7\,b^3\,e^{10}+175\,B\,a^6\,b^4\,d\,e^9+70\,A\,a^6\,b^4\,e^{10}+1260\,B\,a^5\,b^5\,d^2\,e^8+210\,A\,a^5\,b^5\,d\,e^9-13475\,B\,a^4\,b^6\,d^3\,e^7+1050\,A\,a^4\,b^6\,d^2\,e^8+36400\,B\,a^3\,b^7\,d^4\,e^6-7700\,A\,a^3\,b^7\,d^3\,e^7-44415\,B\,a^2\,b^8\,d^5\,e^5+13650\,A\,a^2\,b^8\,d^4\,e^6+25900\,B\,a\,b^9\,d^6\,e^4-9870\,A\,a\,b^9\,d^5\,e^5-5885\,B\,b^{10}\,d^7\,e^3+2590\,A\,b^{10}\,d^6\,e^4\right)+x^6\,\left(252\,B\,a^5\,b^5\,e^{10}-1470\,B\,a^4\,b^6\,d\,e^9+210\,A\,a^4\,b^6\,e^{10}+3360\,B\,a^3\,b^7\,d^2\,e^8-840\,A\,a^3\,b^7\,d\,e^9-3780\,B\,a^2\,b^8\,d^3\,e^7+1260\,A\,a^2\,b^8\,d^2\,e^8+2100\,B\,a\,b^9\,d^4\,e^6-840\,A\,a\,b^9\,d^3\,e^7-462\,B\,b^{10}\,d^5\,e^5+210\,A\,b^{10}\,d^4\,e^6\right)+x^3\,\left(\frac{45\,B\,a^8\,b^2\,e^{10}}{4}+40\,B\,a^7\,b^3\,d\,e^9+30\,A\,a^7\,b^3\,e^{10}+175\,B\,a^6\,b^4\,d^2\,e^8+70\,A\,a^6\,b^4\,d\,e^9+1260\,B\,a^5\,b^5\,d^3\,e^7+210\,A\,a^5\,b^5\,d^2\,e^8-\frac{30625\,B\,a^4\,b^6\,d^4\,e^6}{2}+1050\,A\,a^4\,b^6\,d^3\,e^7+43120\,B\,a^3\,b^7\,d^5\,e^5-8750\,A\,a^3\,b^7\,d^4\,e^6-53865\,B\,a^2\,b^8\,d^6\,e^4+16170\,A\,a^2\,b^8\,d^5\,e^5+31900\,B\,a\,b^9\,d^7\,e^3-11970\,A\,a\,b^9\,d^6\,e^4-\frac{29315\,B\,b^{10}\,d^8\,e^2}{4}+3190\,A\,b^{10}\,d^7\,e^3\right)+\frac{2\,B\,a^{10}\,d\,e^{10}+12\,A\,a^{10}\,e^{11}+8\,B\,a^9\,b\,d^2\,e^9+20\,A\,a^9\,b\,d\,e^{10}+27\,B\,a^8\,b^2\,d^3\,e^8+36\,A\,a^8\,b^2\,d^2\,e^9+96\,B\,a^7\,b^3\,d^4\,e^7+72\,A\,a^7\,b^3\,d^3\,e^8+420\,B\,a^6\,b^4\,d^5\,e^6+168\,A\,a^6\,b^4\,d^4\,e^7+3024\,B\,a^5\,b^5\,d^6\,e^5+504\,A\,a^5\,b^5\,d^5\,e^6-45738\,B\,a^4\,b^6\,d^7\,e^4+2520\,A\,a^4\,b^6\,d^6\,e^5+138528\,B\,a^3\,b^7\,d^8\,e^3-26136\,A\,a^3\,b^7\,d^7\,e^4-180846\,B\,a^2\,b^8\,d^9\,e^2+51948\,A\,a^2\,b^8\,d^8\,e^3+110440\,B\,a\,b^9\,d^{10}\,e-40188\,A\,a\,b^9\,d^9\,e^2-25961\,B\,b^{10}\,d^{11}+11044\,A\,b^{10}\,d^{10}\,e}{84\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{6}+\frac{2\,B\,a^9\,b\,d\,e^9}{3}+\frac{5\,A\,a^9\,b\,e^{10}}{3}+\frac{9\,B\,a^8\,b^2\,d^2\,e^8}{4}+3\,A\,a^8\,b^2\,d\,e^9+8\,B\,a^7\,b^3\,d^3\,e^7+6\,A\,a^7\,b^3\,d^2\,e^8+35\,B\,a^6\,b^4\,d^4\,e^6+14\,A\,a^6\,b^4\,d^3\,e^7+252\,B\,a^5\,b^5\,d^5\,e^5+42\,A\,a^5\,b^5\,d^4\,e^6-\frac{7203\,B\,a^4\,b^6\,d^6\,e^4}{2}+210\,A\,a^4\,b^6\,d^5\,e^5+10704\,B\,a^3\,b^7\,d^7\,e^3-2058\,A\,a^3\,b^7\,d^6\,e^4-\frac{27621\,B\,a^2\,b^8\,d^8\,e^2}{2}+4014\,A\,a^2\,b^8\,d^7\,e^3+\frac{25090\,B\,a\,b^9\,d^9\,e}{3}-3069\,A\,a\,b^9\,d^8\,e^2-\frac{23441\,B\,b^{10}\,d^{10}}{12}+\frac{2509\,A\,b^{10}\,d^9\,e}{3}\right)+x^5\,\left(105\,B\,a^6\,b^4\,e^{10}+756\,B\,a^5\,b^5\,d\,e^9+126\,A\,a^5\,b^5\,e^{10}-6615\,B\,a^4\,b^6\,d^2\,e^8+630\,A\,a^4\,b^6\,d\,e^9+16800\,B\,a^3\,b^7\,d^3\,e^7-3780\,A\,a^3\,b^7\,d^2\,e^8-19845\,B\,a^2\,b^8\,d^4\,e^6+6300\,A\,a^2\,b^8\,d^3\,e^7+11340\,B\,a\,b^9\,d^5\,e^5-4410\,A\,a\,b^9\,d^4\,e^6-2541\,B\,b^{10}\,d^6\,e^4+1134\,A\,b^{10}\,d^5\,e^5\right)+x^2\,\left(2\,B\,a^9\,b\,e^{10}+\frac{27\,B\,a^8\,b^2\,d\,e^9}{4}+9\,A\,a^8\,b^2\,e^{10}+24\,B\,a^7\,b^3\,d^2\,e^8+18\,A\,a^7\,b^3\,d\,e^9+105\,B\,a^6\,b^4\,d^3\,e^7+42\,A\,a^6\,b^4\,d^2\,e^8+756\,B\,a^5\,b^5\,d^4\,e^6+126\,A\,a^5\,b^5\,d^3\,e^7-\frac{20139\,B\,a^4\,b^6\,d^5\,e^5}{2}+630\,A\,a^4\,b^6\,d^4\,e^6+29232\,B\,a^3\,b^7\,d^6\,e^4-5754\,A\,a^3\,b^7\,d^5\,e^5-37179\,B\,a^2\,b^8\,d^7\,e^3+10962\,A\,a^2\,b^8\,d^6\,e^4+22290\,B\,a\,b^9\,d^8\,e^2-8262\,A\,a\,b^9\,d^7\,e^3-\frac{20669\,B\,b^{10}\,d^9\,e}{4}+2229\,A\,b^{10}\,d^8\,e^2\right)}{d^7\,e^{11}+7\,d^6\,e^{12}\,x+21\,d^5\,e^{13}\,x^2+35\,d^4\,e^{14}\,x^3+35\,d^3\,e^{15}\,x^4+21\,d^2\,e^{16}\,x^5+7\,d\,e^{17}\,x^6+e^{18}\,x^7}+\frac{\ln\left(d+e\,x\right)\,\left(210\,B\,a^4\,b^6\,e^4-960\,B\,a^3\,b^7\,d\,e^3+120\,A\,a^3\,b^7\,e^4+1620\,B\,a^2\,b^8\,d^2\,e^2-360\,A\,a^2\,b^8\,d\,e^3-1200\,B\,a\,b^9\,d^3\,e+360\,A\,a\,b^9\,d^2\,e^2+330\,B\,b^{10}\,d^4-120\,A\,b^{10}\,d^3\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^4}{4\,e^8}","Not used",1,"x^3*((A*b^10 + 10*B*a*b^9)/(3*e^8) - (8*B*b^10*d)/(3*e^9)) - x*((28*d^2*((A*b^10 + 10*B*a*b^9)/e^8 - (8*B*b^10*d)/e^9))/e^2 - (8*d*((8*d*((A*b^10 + 10*B*a*b^9)/e^8 - (8*B*b^10*d)/e^9))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^8 + (28*B*b^10*d^2)/e^10))/e - (15*a^2*b^7*(3*A*b + 8*B*a))/e^8 + (56*B*b^10*d^3)/e^11) - x^2*((4*d*((A*b^10 + 10*B*a*b^9)/e^8 - (8*B*b^10*d)/e^9))/e - (5*a*b^8*(2*A*b + 9*B*a))/(2*e^8) + (14*B*b^10*d^2)/e^10) - (x^4*(70*A*a^6*b^4*e^10 + 40*B*a^7*b^3*e^10 + 2590*A*b^10*d^6*e^4 - 5885*B*b^10*d^7*e^3 - 9870*A*a*b^9*d^5*e^5 + 210*A*a^5*b^5*d*e^9 + 25900*B*a*b^9*d^6*e^4 + 175*B*a^6*b^4*d*e^9 + 13650*A*a^2*b^8*d^4*e^6 - 7700*A*a^3*b^7*d^3*e^7 + 1050*A*a^4*b^6*d^2*e^8 - 44415*B*a^2*b^8*d^5*e^5 + 36400*B*a^3*b^7*d^4*e^6 - 13475*B*a^4*b^6*d^3*e^7 + 1260*B*a^5*b^5*d^2*e^8) + x^6*(210*A*a^4*b^6*e^10 + 252*B*a^5*b^5*e^10 + 210*A*b^10*d^4*e^6 - 462*B*b^10*d^5*e^5 - 840*A*a*b^9*d^3*e^7 - 840*A*a^3*b^7*d*e^9 + 2100*B*a*b^9*d^4*e^6 - 1470*B*a^4*b^6*d*e^9 + 1260*A*a^2*b^8*d^2*e^8 - 3780*B*a^2*b^8*d^3*e^7 + 3360*B*a^3*b^7*d^2*e^8) + x^3*(30*A*a^7*b^3*e^10 + (45*B*a^8*b^2*e^10)/4 + 3190*A*b^10*d^7*e^3 - (29315*B*b^10*d^8*e^2)/4 - 11970*A*a*b^9*d^6*e^4 + 70*A*a^6*b^4*d*e^9 + 31900*B*a*b^9*d^7*e^3 + 40*B*a^7*b^3*d*e^9 + 16170*A*a^2*b^8*d^5*e^5 - 8750*A*a^3*b^7*d^4*e^6 + 1050*A*a^4*b^6*d^3*e^7 + 210*A*a^5*b^5*d^2*e^8 - 53865*B*a^2*b^8*d^6*e^4 + 43120*B*a^3*b^7*d^5*e^5 - (30625*B*a^4*b^6*d^4*e^6)/2 + 1260*B*a^5*b^5*d^3*e^7 + 175*B*a^6*b^4*d^2*e^8) + (12*A*a^10*e^11 - 25961*B*b^10*d^11 + 11044*A*b^10*d^10*e + 2*B*a^10*d*e^10 - 40188*A*a*b^9*d^9*e^2 + 8*B*a^9*b*d^2*e^9 + 51948*A*a^2*b^8*d^8*e^3 - 26136*A*a^3*b^7*d^7*e^4 + 2520*A*a^4*b^6*d^6*e^5 + 504*A*a^5*b^5*d^5*e^6 + 168*A*a^6*b^4*d^4*e^7 + 72*A*a^7*b^3*d^3*e^8 + 36*A*a^8*b^2*d^2*e^9 - 180846*B*a^2*b^8*d^9*e^2 + 138528*B*a^3*b^7*d^8*e^3 - 45738*B*a^4*b^6*d^7*e^4 + 3024*B*a^5*b^5*d^6*e^5 + 420*B*a^6*b^4*d^5*e^6 + 96*B*a^7*b^3*d^4*e^7 + 27*B*a^8*b^2*d^3*e^8 + 20*A*a^9*b*d*e^10 + 110440*B*a*b^9*d^10*e)/(84*e) + x*((B*a^10*e^10)/6 - (23441*B*b^10*d^10)/12 + (5*A*a^9*b*e^10)/3 + (2509*A*b^10*d^9*e)/3 - 3069*A*a*b^9*d^8*e^2 + 3*A*a^8*b^2*d*e^9 + 4014*A*a^2*b^8*d^7*e^3 - 2058*A*a^3*b^7*d^6*e^4 + 210*A*a^4*b^6*d^5*e^5 + 42*A*a^5*b^5*d^4*e^6 + 14*A*a^6*b^4*d^3*e^7 + 6*A*a^7*b^3*d^2*e^8 - (27621*B*a^2*b^8*d^8*e^2)/2 + 10704*B*a^3*b^7*d^7*e^3 - (7203*B*a^4*b^6*d^6*e^4)/2 + 252*B*a^5*b^5*d^5*e^5 + 35*B*a^6*b^4*d^4*e^6 + 8*B*a^7*b^3*d^3*e^7 + (9*B*a^8*b^2*d^2*e^8)/4 + (25090*B*a*b^9*d^9*e)/3 + (2*B*a^9*b*d*e^9)/3) + x^5*(126*A*a^5*b^5*e^10 + 105*B*a^6*b^4*e^10 + 1134*A*b^10*d^5*e^5 - 2541*B*b^10*d^6*e^4 - 4410*A*a*b^9*d^4*e^6 + 630*A*a^4*b^6*d*e^9 + 11340*B*a*b^9*d^5*e^5 + 756*B*a^5*b^5*d*e^9 + 6300*A*a^2*b^8*d^3*e^7 - 3780*A*a^3*b^7*d^2*e^8 - 19845*B*a^2*b^8*d^4*e^6 + 16800*B*a^3*b^7*d^3*e^7 - 6615*B*a^4*b^6*d^2*e^8) + x^2*(2*B*a^9*b*e^10 - (20669*B*b^10*d^9*e)/4 + 9*A*a^8*b^2*e^10 + 2229*A*b^10*d^8*e^2 - 8262*A*a*b^9*d^7*e^3 + 18*A*a^7*b^3*d*e^9 + 22290*B*a*b^9*d^8*e^2 + (27*B*a^8*b^2*d*e^9)/4 + 10962*A*a^2*b^8*d^6*e^4 - 5754*A*a^3*b^7*d^5*e^5 + 630*A*a^4*b^6*d^4*e^6 + 126*A*a^5*b^5*d^3*e^7 + 42*A*a^6*b^4*d^2*e^8 - 37179*B*a^2*b^8*d^7*e^3 + 29232*B*a^3*b^7*d^6*e^4 - (20139*B*a^4*b^6*d^5*e^5)/2 + 756*B*a^5*b^5*d^4*e^6 + 105*B*a^6*b^4*d^3*e^7 + 24*B*a^7*b^3*d^2*e^8))/(d^7*e^11 + e^18*x^7 + 7*d^6*e^12*x + 7*d*e^17*x^6 + 21*d^5*e^13*x^2 + 35*d^4*e^14*x^3 + 35*d^3*e^15*x^4 + 21*d^2*e^16*x^5) + (log(d + e*x)*(330*B*b^10*d^4 - 120*A*b^10*d^3*e + 120*A*a^3*b^7*e^4 + 210*B*a^4*b^6*e^4 + 360*A*a*b^9*d^2*e^2 - 360*A*a^2*b^8*d*e^3 - 960*B*a^3*b^7*d*e^3 + 1620*B*a^2*b^8*d^2*e^2 - 1200*B*a*b^9*d^3*e))/e^12 + (B*b^10*x^4)/(4*e^8)","B"
1097,1,2048,445,0.489494,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^9,x)","x^2\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{2\,e^9}-\frac{9\,B\,b^{10}\,d}{2\,e^{10}}\right)-\frac{x^7\,\left(210\,B\,a^4\,b^6\,e^{10}-960\,B\,a^3\,b^7\,d\,e^9+120\,A\,a^3\,b^7\,e^{10}+1620\,B\,a^2\,b^8\,d^2\,e^8-360\,A\,a^2\,b^8\,d\,e^9-1200\,B\,a\,b^9\,d^3\,e^7+360\,A\,a\,b^9\,d^2\,e^8+330\,B\,b^{10}\,d^4\,e^6-120\,A\,b^{10}\,d^3\,e^7\right)+x^4\,\left(30\,B\,a^7\,b^3\,e^{10}+\frac{175\,B\,a^6\,b^4\,d\,e^9}{2}+\frac{105\,A\,a^6\,b^4\,e^{10}}{2}+315\,B\,a^5\,b^5\,d^2\,e^8+105\,A\,a^5\,b^5\,d\,e^9+\frac{3675\,B\,a^4\,b^6\,d^3\,e^7}{2}+\frac{525\,A\,a^4\,b^6\,d^2\,e^8}{2}-17500\,B\,a^3\,b^7\,d^4\,e^6+1050\,A\,a^3\,b^7\,d^3\,e^7+\frac{72765\,B\,a^2\,b^8\,d^5\,e^5}{2}-\frac{13125\,A\,a^2\,b^8\,d^4\,e^6}{2}-29925\,B\,a\,b^9\,d^6\,e^4+8085\,A\,a\,b^9\,d^5\,e^5+\frac{17545\,B\,b^{10}\,d^7\,e^3}{2}-\frac{5985\,A\,b^{10}\,d^6\,e^4}{2}\right)+x^6\,\left(126\,B\,a^5\,b^5\,e^{10}+735\,B\,a^4\,b^6\,d\,e^9+105\,A\,a^4\,b^6\,e^{10}-5040\,B\,a^3\,b^7\,d^2\,e^8+420\,A\,a^3\,b^7\,d\,e^9+9450\,B\,a^2\,b^8\,d^3\,e^7-1890\,A\,a^2\,b^8\,d^2\,e^8-7350\,B\,a\,b^9\,d^4\,e^6+2100\,A\,a\,b^9\,d^3\,e^7+2079\,B\,b^{10}\,d^5\,e^5-735\,A\,b^{10}\,d^4\,e^6\right)+x^3\,\left(9\,B\,a^8\,b^2\,e^{10}+24\,B\,a^7\,b^3\,d\,e^9+24\,A\,a^7\,b^3\,e^{10}+70\,B\,a^6\,b^4\,d^2\,e^8+42\,A\,a^6\,b^4\,d\,e^9+252\,B\,a^5\,b^5\,d^3\,e^7+84\,A\,a^5\,b^5\,d^2\,e^8+1470\,B\,a^4\,b^6\,d^4\,e^6+210\,A\,a^4\,b^6\,d^3\,e^7-15344\,B\,a^3\,b^7\,d^5\,e^5+840\,A\,a^3\,b^7\,d^4\,e^6+32886\,B\,a^2\,b^8\,d^6\,e^4-5754\,A\,a^2\,b^8\,d^5\,e^5-27540\,B\,a\,b^9\,d^7\,e^3+7308\,A\,a\,b^9\,d^6\,e^4+8173\,B\,b^{10}\,d^8\,e^2-2754\,A\,b^{10}\,d^7\,e^3\right)+\frac{3\,B\,a^{10}\,d\,e^{10}+21\,A\,a^{10}\,e^{11}+10\,B\,a^9\,b\,d^2\,e^9+30\,A\,a^9\,b\,d\,e^{10}+27\,B\,a^8\,b^2\,d^3\,e^8+45\,A\,a^8\,b^2\,d^2\,e^9+72\,B\,a^7\,b^3\,d^4\,e^7+72\,A\,a^7\,b^3\,d^3\,e^8+210\,B\,a^6\,b^4\,d^5\,e^6+126\,A\,a^6\,b^4\,d^4\,e^7+756\,B\,a^5\,b^5\,d^6\,e^5+252\,A\,a^5\,b^5\,d^5\,e^6+4410\,B\,a^4\,b^6\,d^7\,e^4+630\,A\,a^4\,b^6\,d^6\,e^5-54792\,B\,a^3\,b^7\,d^8\,e^3+2520\,A\,a^3\,b^7\,d^7\,e^4+124443\,B\,a^2\,b^8\,d^9\,e^2-20547\,A\,a^2\,b^8\,d^8\,e^3-108030\,B\,a\,b^9\,d^{10}\,e+27654\,A\,a\,b^9\,d^9\,e^2+32891\,B\,b^{10}\,d^{11}-10803\,A\,b^{10}\,d^{10}\,e}{168\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{7}+\frac{10\,B\,a^9\,b\,d\,e^9}{21}+\frac{10\,A\,a^9\,b\,e^{10}}{7}+\frac{9\,B\,a^8\,b^2\,d^2\,e^8}{7}+\frac{15\,A\,a^8\,b^2\,d\,e^9}{7}+\frac{24\,B\,a^7\,b^3\,d^3\,e^7}{7}+\frac{24\,A\,a^7\,b^3\,d^2\,e^8}{7}+10\,B\,a^6\,b^4\,d^4\,e^6+6\,A\,a^6\,b^4\,d^3\,e^7+36\,B\,a^5\,b^5\,d^5\,e^5+12\,A\,a^5\,b^5\,d^4\,e^6+210\,B\,a^4\,b^6\,d^6\,e^4+30\,A\,a^4\,b^6\,d^5\,e^5-\frac{17424\,B\,a^3\,b^7\,d^7\,e^3}{7}+120\,A\,a^3\,b^7\,d^6\,e^4+\frac{38961\,B\,a^2\,b^8\,d^8\,e^2}{7}-\frac{6534\,A\,a^2\,b^8\,d^7\,e^3}{7}-\frac{33490\,B\,a\,b^9\,d^9\,e}{7}+\frac{8658\,A\,a\,b^9\,d^8\,e^2}{7}+\frac{30371\,B\,b^{10}\,d^{10}}{21}-\frac{3349\,A\,b^{10}\,d^9\,e}{7}\right)+x^5\,\left(70\,B\,a^6\,b^4\,e^{10}+252\,B\,a^5\,b^5\,d\,e^9+84\,A\,a^5\,b^5\,e^{10}+1470\,B\,a^4\,b^6\,d^2\,e^8+210\,A\,a^4\,b^6\,d\,e^9-12320\,B\,a^3\,b^7\,d^3\,e^7+840\,A\,a^3\,b^7\,d^2\,e^8+24570\,B\,a^2\,b^8\,d^4\,e^6-4620\,A\,a^2\,b^8\,d^3\,e^7-19740\,B\,a\,b^9\,d^5\,e^5+5460\,A\,a\,b^9\,d^4\,e^6+5698\,B\,b^{10}\,d^6\,e^4-1974\,A\,b^{10}\,d^5\,e^5\right)+x^2\,\left(\frac{5\,B\,a^9\,b\,e^{10}}{3}+\frac{9\,B\,a^8\,b^2\,d\,e^9}{2}+\frac{15\,A\,a^8\,b^2\,e^{10}}{2}+12\,B\,a^7\,b^3\,d^2\,e^8+12\,A\,a^7\,b^3\,d\,e^9+35\,B\,a^6\,b^4\,d^3\,e^7+21\,A\,a^6\,b^4\,d^2\,e^8+126\,B\,a^5\,b^5\,d^4\,e^6+42\,A\,a^5\,b^5\,d^3\,e^7+735\,B\,a^4\,b^6\,d^5\,e^5+105\,A\,a^4\,b^6\,d^4\,e^6-8232\,B\,a^3\,b^7\,d^6\,e^4+420\,A\,a^3\,b^7\,d^5\,e^5+18063\,B\,a^2\,b^8\,d^7\,e^3-3087\,A\,a^2\,b^8\,d^6\,e^4-15345\,B\,a\,b^9\,d^8\,e^2+4014\,A\,a\,b^9\,d^7\,e^3+\frac{27599\,B\,b^{10}\,d^9\,e}{6}-\frac{3069\,A\,b^{10}\,d^8\,e^2}{2}\right)}{d^8\,e^{11}+8\,d^7\,e^{12}\,x+28\,d^6\,e^{13}\,x^2+56\,d^5\,e^{14}\,x^3+70\,d^4\,e^{15}\,x^4+56\,d^3\,e^{16}\,x^5+28\,d^2\,e^{17}\,x^6+8\,d\,e^{18}\,x^7+e^{19}\,x^8}-x\,\left(\frac{9\,d\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^9}-\frac{9\,B\,b^{10}\,d}{e^{10}}\right)}{e}-\frac{5\,a\,b^8\,\left(2\,A\,b+9\,B\,a\right)}{e^9}+\frac{36\,B\,b^{10}\,d^2}{e^{11}}\right)+\frac{\ln\left(d+e\,x\right)\,\left(120\,B\,a^3\,b^7\,e^3-405\,B\,a^2\,b^8\,d\,e^2+45\,A\,a^2\,b^8\,e^3+450\,B\,a\,b^9\,d^2\,e-90\,A\,a\,b^9\,d\,e^2-165\,B\,b^{10}\,d^3+45\,A\,b^{10}\,d^2\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^3}{3\,e^9}","Not used",1,"x^2*((A*b^10 + 10*B*a*b^9)/(2*e^9) - (9*B*b^10*d)/(2*e^10)) - (x^7*(120*A*a^3*b^7*e^10 + 210*B*a^4*b^6*e^10 - 120*A*b^10*d^3*e^7 + 330*B*b^10*d^4*e^6 + 360*A*a*b^9*d^2*e^8 - 360*A*a^2*b^8*d*e^9 - 1200*B*a*b^9*d^3*e^7 - 960*B*a^3*b^7*d*e^9 + 1620*B*a^2*b^8*d^2*e^8) + x^4*((105*A*a^6*b^4*e^10)/2 + 30*B*a^7*b^3*e^10 - (5985*A*b^10*d^6*e^4)/2 + (17545*B*b^10*d^7*e^3)/2 + 8085*A*a*b^9*d^5*e^5 + 105*A*a^5*b^5*d*e^9 - 29925*B*a*b^9*d^6*e^4 + (175*B*a^6*b^4*d*e^9)/2 - (13125*A*a^2*b^8*d^4*e^6)/2 + 1050*A*a^3*b^7*d^3*e^7 + (525*A*a^4*b^6*d^2*e^8)/2 + (72765*B*a^2*b^8*d^5*e^5)/2 - 17500*B*a^3*b^7*d^4*e^6 + (3675*B*a^4*b^6*d^3*e^7)/2 + 315*B*a^5*b^5*d^2*e^8) + x^6*(105*A*a^4*b^6*e^10 + 126*B*a^5*b^5*e^10 - 735*A*b^10*d^4*e^6 + 2079*B*b^10*d^5*e^5 + 2100*A*a*b^9*d^3*e^7 + 420*A*a^3*b^7*d*e^9 - 7350*B*a*b^9*d^4*e^6 + 735*B*a^4*b^6*d*e^9 - 1890*A*a^2*b^8*d^2*e^8 + 9450*B*a^2*b^8*d^3*e^7 - 5040*B*a^3*b^7*d^2*e^8) + x^3*(24*A*a^7*b^3*e^10 + 9*B*a^8*b^2*e^10 - 2754*A*b^10*d^7*e^3 + 8173*B*b^10*d^8*e^2 + 7308*A*a*b^9*d^6*e^4 + 42*A*a^6*b^4*d*e^9 - 27540*B*a*b^9*d^7*e^3 + 24*B*a^7*b^3*d*e^9 - 5754*A*a^2*b^8*d^5*e^5 + 840*A*a^3*b^7*d^4*e^6 + 210*A*a^4*b^6*d^3*e^7 + 84*A*a^5*b^5*d^2*e^8 + 32886*B*a^2*b^8*d^6*e^4 - 15344*B*a^3*b^7*d^5*e^5 + 1470*B*a^4*b^6*d^4*e^6 + 252*B*a^5*b^5*d^3*e^7 + 70*B*a^6*b^4*d^2*e^8) + (21*A*a^10*e^11 + 32891*B*b^10*d^11 - 10803*A*b^10*d^10*e + 3*B*a^10*d*e^10 + 27654*A*a*b^9*d^9*e^2 + 10*B*a^9*b*d^2*e^9 - 20547*A*a^2*b^8*d^8*e^3 + 2520*A*a^3*b^7*d^7*e^4 + 630*A*a^4*b^6*d^6*e^5 + 252*A*a^5*b^5*d^5*e^6 + 126*A*a^6*b^4*d^4*e^7 + 72*A*a^7*b^3*d^3*e^8 + 45*A*a^8*b^2*d^2*e^9 + 124443*B*a^2*b^8*d^9*e^2 - 54792*B*a^3*b^7*d^8*e^3 + 4410*B*a^4*b^6*d^7*e^4 + 756*B*a^5*b^5*d^6*e^5 + 210*B*a^6*b^4*d^5*e^6 + 72*B*a^7*b^3*d^4*e^7 + 27*B*a^8*b^2*d^3*e^8 + 30*A*a^9*b*d*e^10 - 108030*B*a*b^9*d^10*e)/(168*e) + x*((B*a^10*e^10)/7 + (30371*B*b^10*d^10)/21 + (10*A*a^9*b*e^10)/7 - (3349*A*b^10*d^9*e)/7 + (8658*A*a*b^9*d^8*e^2)/7 + (15*A*a^8*b^2*d*e^9)/7 - (6534*A*a^2*b^8*d^7*e^3)/7 + 120*A*a^3*b^7*d^6*e^4 + 30*A*a^4*b^6*d^5*e^5 + 12*A*a^5*b^5*d^4*e^6 + 6*A*a^6*b^4*d^3*e^7 + (24*A*a^7*b^3*d^2*e^8)/7 + (38961*B*a^2*b^8*d^8*e^2)/7 - (17424*B*a^3*b^7*d^7*e^3)/7 + 210*B*a^4*b^6*d^6*e^4 + 36*B*a^5*b^5*d^5*e^5 + 10*B*a^6*b^4*d^4*e^6 + (24*B*a^7*b^3*d^3*e^7)/7 + (9*B*a^8*b^2*d^2*e^8)/7 - (33490*B*a*b^9*d^9*e)/7 + (10*B*a^9*b*d*e^9)/21) + x^5*(84*A*a^5*b^5*e^10 + 70*B*a^6*b^4*e^10 - 1974*A*b^10*d^5*e^5 + 5698*B*b^10*d^6*e^4 + 5460*A*a*b^9*d^4*e^6 + 210*A*a^4*b^6*d*e^9 - 19740*B*a*b^9*d^5*e^5 + 252*B*a^5*b^5*d*e^9 - 4620*A*a^2*b^8*d^3*e^7 + 840*A*a^3*b^7*d^2*e^8 + 24570*B*a^2*b^8*d^4*e^6 - 12320*B*a^3*b^7*d^3*e^7 + 1470*B*a^4*b^6*d^2*e^8) + x^2*((5*B*a^9*b*e^10)/3 + (27599*B*b^10*d^9*e)/6 + (15*A*a^8*b^2*e^10)/2 - (3069*A*b^10*d^8*e^2)/2 + 4014*A*a*b^9*d^7*e^3 + 12*A*a^7*b^3*d*e^9 - 15345*B*a*b^9*d^8*e^2 + (9*B*a^8*b^2*d*e^9)/2 - 3087*A*a^2*b^8*d^6*e^4 + 420*A*a^3*b^7*d^5*e^5 + 105*A*a^4*b^6*d^4*e^6 + 42*A*a^5*b^5*d^3*e^7 + 21*A*a^6*b^4*d^2*e^8 + 18063*B*a^2*b^8*d^7*e^3 - 8232*B*a^3*b^7*d^6*e^4 + 735*B*a^4*b^6*d^5*e^5 + 126*B*a^5*b^5*d^4*e^6 + 35*B*a^6*b^4*d^3*e^7 + 12*B*a^7*b^3*d^2*e^8))/(d^8*e^11 + e^19*x^8 + 8*d^7*e^12*x + 8*d*e^18*x^7 + 28*d^6*e^13*x^2 + 56*d^5*e^14*x^3 + 70*d^4*e^15*x^4 + 56*d^3*e^16*x^5 + 28*d^2*e^17*x^6) - x*((9*d*((A*b^10 + 10*B*a*b^9)/e^9 - (9*B*b^10*d)/e^10))/e - (5*a*b^8*(2*A*b + 9*B*a))/e^9 + (36*B*b^10*d^2)/e^11) + (log(d + e*x)*(45*A*b^10*d^2*e - 165*B*b^10*d^3 + 45*A*a^2*b^8*e^3 + 120*B*a^3*b^7*e^3 - 405*B*a^2*b^8*d*e^2 - 90*A*a*b^9*d*e^2 + 450*B*a*b^9*d^2*e))/e^12 + (B*b^10*x^3)/(3*e^9)","B"
1098,1,2048,441,1.531376,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^10,x)","x\,\left(\frac{A\,b^{10}+10\,B\,a\,b^9}{e^{10}}-\frac{10\,B\,b^{10}\,d}{e^{11}}\right)-\frac{x^7\,\left(105\,B\,a^4\,b^6\,e^{10}+480\,B\,a^3\,b^7\,d\,e^9+60\,A\,a^3\,b^7\,e^{10}-2430\,B\,a^2\,b^8\,d^2\,e^8+180\,A\,a^2\,b^8\,d\,e^9+3000\,B\,a\,b^9\,d^3\,e^7-540\,A\,a\,b^9\,d^2\,e^8-1155\,B\,b^{10}\,d^4\,e^6+300\,A\,b^{10}\,d^3\,e^7\right)+x^4\,\left(24\,B\,a^7\,b^3\,e^{10}+\frac{105\,B\,a^6\,b^4\,d\,e^9}{2}+42\,A\,a^6\,b^4\,e^{10}+126\,B\,a^5\,b^5\,d^2\,e^8+63\,A\,a^5\,b^5\,d\,e^9+\frac{735\,B\,a^4\,b^6\,d^3\,e^7}{2}+105\,A\,a^4\,b^6\,d^2\,e^8+1680\,B\,a^3\,b^7\,d^4\,e^6+210\,A\,a^3\,b^7\,d^3\,e^7-\frac{25893\,B\,a^2\,b^8\,d^5\,e^5}{2}+630\,A\,a^2\,b^8\,d^4\,e^6+18270\,B\,a\,b^9\,d^6\,e^4-2877\,A\,a\,b^9\,d^5\,e^5-\frac{15147\,B\,b^{10}\,d^7\,e^3}{2}+1827\,A\,b^{10}\,d^6\,e^4\right)+x^6\,\left(84\,B\,a^5\,b^5\,e^{10}+245\,B\,a^4\,b^6\,d\,e^9+70\,A\,a^4\,b^6\,e^{10}+1120\,B\,a^3\,b^7\,d^2\,e^8+140\,A\,a^3\,b^7\,d\,e^9-6930\,B\,a^2\,b^8\,d^3\,e^7+420\,A\,a^2\,b^8\,d^2\,e^8+9100\,B\,a\,b^9\,d^4\,e^6-1540\,A\,a\,b^9\,d^3\,e^7-3619\,B\,b^{10}\,d^5\,e^5+910\,A\,b^{10}\,d^4\,e^6\right)+x^3\,\left(\frac{15\,B\,a^8\,b^2\,e^{10}}{2}+16\,B\,a^7\,b^3\,d\,e^9+20\,A\,a^7\,b^3\,e^{10}+35\,B\,a^6\,b^4\,d^2\,e^8+28\,A\,a^6\,b^4\,d\,e^9+84\,B\,a^5\,b^5\,d^3\,e^7+42\,A\,a^5\,b^5\,d^2\,e^8+245\,B\,a^4\,b^6\,d^4\,e^6+70\,A\,a^4\,b^6\,d^3\,e^7+1120\,B\,a^3\,b^7\,d^5\,e^5+140\,A\,a^3\,b^7\,d^4\,e^6-9261\,B\,a^2\,b^8\,d^6\,e^4+420\,A\,a^2\,b^8\,d^5\,e^5+13380\,B\,a\,b^9\,d^7\,e^3-2058\,A\,a\,b^9\,d^6\,e^4-\frac{11253\,B\,b^{10}\,d^8\,e^2}{2}+1338\,A\,b^{10}\,d^7\,e^3\right)+\frac{7\,B\,a^{10}\,d\,e^{10}+56\,A\,a^{10}\,e^{11}+20\,B\,a^9\,b\,d^2\,e^9+70\,A\,a^9\,b\,d\,e^{10}+45\,B\,a^8\,b^2\,d^3\,e^8+90\,A\,a^8\,b^2\,d^2\,e^9+96\,B\,a^7\,b^3\,d^4\,e^7+120\,A\,a^7\,b^3\,d^3\,e^8+210\,B\,a^6\,b^4\,d^5\,e^6+168\,A\,a^6\,b^4\,d^4\,e^7+504\,B\,a^5\,b^5\,d^6\,e^5+252\,A\,a^5\,b^5\,d^5\,e^6+1470\,B\,a^4\,b^6\,d^7\,e^4+420\,A\,a^4\,b^6\,d^6\,e^5+6720\,B\,a^3\,b^7\,d^8\,e^3+840\,A\,a^3\,b^7\,d^7\,e^4-64161\,B\,a^2\,b^8\,d^9\,e^2+2520\,A\,a^2\,b^8\,d^8\,e^3+97220\,B\,a\,b^9\,d^{10}\,e-14258\,A\,a\,b^9\,d^9\,e^2-42131\,B\,b^{10}\,d^{11}+9722\,A\,b^{10}\,d^{10}\,e}{504\,e}+x\,\left(\frac{B\,a^{10}\,e^{10}}{8}+\frac{5\,B\,a^9\,b\,d\,e^9}{14}+\frac{5\,A\,a^9\,b\,e^{10}}{4}+\frac{45\,B\,a^8\,b^2\,d^2\,e^8}{56}+\frac{45\,A\,a^8\,b^2\,d\,e^9}{28}+\frac{12\,B\,a^7\,b^3\,d^3\,e^7}{7}+\frac{15\,A\,a^7\,b^3\,d^2\,e^8}{7}+\frac{15\,B\,a^6\,b^4\,d^4\,e^6}{4}+3\,A\,a^6\,b^4\,d^3\,e^7+9\,B\,a^5\,b^5\,d^5\,e^5+\frac{9\,A\,a^5\,b^5\,d^4\,e^6}{2}+\frac{105\,B\,a^4\,b^6\,d^6\,e^4}{4}+\frac{15\,A\,a^4\,b^6\,d^5\,e^5}{2}+120\,B\,a^3\,b^7\,d^7\,e^3+15\,A\,a^3\,b^7\,d^6\,e^4-\frac{61641\,B\,a^2\,b^8\,d^8\,e^2}{56}+45\,A\,a^2\,b^8\,d^7\,e^3+\frac{23045\,B\,a\,b^9\,d^9\,e}{14}-\frac{6849\,A\,a\,b^9\,d^8\,e^2}{28}-\frac{39611\,B\,b^{10}\,d^{10}}{56}+\frac{4609\,A\,b^{10}\,d^9\,e}{28}\right)+x^8\,\left(120\,B\,a^3\,b^7\,e^{10}-405\,B\,a^2\,b^8\,d\,e^9+45\,A\,a^2\,b^8\,e^{10}+450\,B\,a\,b^9\,d^2\,e^8-90\,A\,a\,b^9\,d\,e^9-165\,B\,b^{10}\,d^3\,e^7+45\,A\,b^{10}\,d^2\,e^8\right)+x^5\,\left(\frac{105\,B\,a^6\,b^4\,e^{10}}{2}+126\,B\,a^5\,b^5\,d\,e^9+63\,A\,a^5\,b^5\,e^{10}+\frac{735\,B\,a^4\,b^6\,d^2\,e^8}{2}+105\,A\,a^4\,b^6\,d\,e^9+1680\,B\,a^3\,b^7\,d^3\,e^7+210\,A\,a^3\,b^7\,d^2\,e^8-\frac{23625\,B\,a^2\,b^8\,d^4\,e^6}{2}+630\,A\,a^2\,b^8\,d^3\,e^7+16170\,B\,a\,b^9\,d^5\,e^5-2625\,A\,a\,b^9\,d^4\,e^6-\frac{13167\,B\,b^{10}\,d^6\,e^4}{2}+1617\,A\,b^{10}\,d^5\,e^5\right)+x^2\,\left(\frac{10\,B\,a^9\,b\,e^{10}}{7}+\frac{45\,B\,a^8\,b^2\,d\,e^9}{14}+\frac{45\,A\,a^8\,b^2\,e^{10}}{7}+\frac{48\,B\,a^7\,b^3\,d^2\,e^8}{7}+\frac{60\,A\,a^7\,b^3\,d\,e^9}{7}+15\,B\,a^6\,b^4\,d^3\,e^7+12\,A\,a^6\,b^4\,d^2\,e^8+36\,B\,a^5\,b^5\,d^4\,e^6+18\,A\,a^5\,b^5\,d^3\,e^7+105\,B\,a^4\,b^6\,d^5\,e^5+30\,A\,a^4\,b^6\,d^4\,e^6+480\,B\,a^3\,b^7\,d^6\,e^4+60\,A\,a^3\,b^7\,d^5\,e^5-\frac{29403\,B\,a^2\,b^8\,d^7\,e^3}{7}+180\,A\,a^2\,b^8\,d^6\,e^4+\frac{43290\,B\,a\,b^9\,d^8\,e^2}{7}-\frac{6534\,A\,a\,b^9\,d^7\,e^3}{7}-\frac{36839\,B\,b^{10}\,d^9\,e}{14}+\frac{4329\,A\,b^{10}\,d^8\,e^2}{7}\right)}{d^9\,e^{11}+9\,d^8\,e^{12}\,x+36\,d^7\,e^{13}\,x^2+84\,d^6\,e^{14}\,x^3+126\,d^5\,e^{15}\,x^4+126\,d^4\,e^{16}\,x^5+84\,d^3\,e^{17}\,x^6+36\,d^2\,e^{18}\,x^7+9\,d\,e^{19}\,x^8+e^{20}\,x^9}+\frac{\ln\left(d+e\,x\right)\,\left(45\,B\,a^2\,b^8\,e^2-100\,B\,a\,b^9\,d\,e+10\,A\,a\,b^9\,e^2+55\,B\,b^{10}\,d^2-10\,A\,b^{10}\,d\,e\right)}{e^{12}}+\frac{B\,b^{10}\,x^2}{2\,e^{10}}","Not used",1,"x*((A*b^10 + 10*B*a*b^9)/e^10 - (10*B*b^10*d)/e^11) - (x^7*(60*A*a^3*b^7*e^10 + 105*B*a^4*b^6*e^10 + 300*A*b^10*d^3*e^7 - 1155*B*b^10*d^4*e^6 - 540*A*a*b^9*d^2*e^8 + 180*A*a^2*b^8*d*e^9 + 3000*B*a*b^9*d^3*e^7 + 480*B*a^3*b^7*d*e^9 - 2430*B*a^2*b^8*d^2*e^8) + x^4*(42*A*a^6*b^4*e^10 + 24*B*a^7*b^3*e^10 + 1827*A*b^10*d^6*e^4 - (15147*B*b^10*d^7*e^3)/2 - 2877*A*a*b^9*d^5*e^5 + 63*A*a^5*b^5*d*e^9 + 18270*B*a*b^9*d^6*e^4 + (105*B*a^6*b^4*d*e^9)/2 + 630*A*a^2*b^8*d^4*e^6 + 210*A*a^3*b^7*d^3*e^7 + 105*A*a^4*b^6*d^2*e^8 - (25893*B*a^2*b^8*d^5*e^5)/2 + 1680*B*a^3*b^7*d^4*e^6 + (735*B*a^4*b^6*d^3*e^7)/2 + 126*B*a^5*b^5*d^2*e^8) + x^6*(70*A*a^4*b^6*e^10 + 84*B*a^5*b^5*e^10 + 910*A*b^10*d^4*e^6 - 3619*B*b^10*d^5*e^5 - 1540*A*a*b^9*d^3*e^7 + 140*A*a^3*b^7*d*e^9 + 9100*B*a*b^9*d^4*e^6 + 245*B*a^4*b^6*d*e^9 + 420*A*a^2*b^8*d^2*e^8 - 6930*B*a^2*b^8*d^3*e^7 + 1120*B*a^3*b^7*d^2*e^8) + x^3*(20*A*a^7*b^3*e^10 + (15*B*a^8*b^2*e^10)/2 + 1338*A*b^10*d^7*e^3 - (11253*B*b^10*d^8*e^2)/2 - 2058*A*a*b^9*d^6*e^4 + 28*A*a^6*b^4*d*e^9 + 13380*B*a*b^9*d^7*e^3 + 16*B*a^7*b^3*d*e^9 + 420*A*a^2*b^8*d^5*e^5 + 140*A*a^3*b^7*d^4*e^6 + 70*A*a^4*b^6*d^3*e^7 + 42*A*a^5*b^5*d^2*e^8 - 9261*B*a^2*b^8*d^6*e^4 + 1120*B*a^3*b^7*d^5*e^5 + 245*B*a^4*b^6*d^4*e^6 + 84*B*a^5*b^5*d^3*e^7 + 35*B*a^6*b^4*d^2*e^8) + (56*A*a^10*e^11 - 42131*B*b^10*d^11 + 9722*A*b^10*d^10*e + 7*B*a^10*d*e^10 - 14258*A*a*b^9*d^9*e^2 + 20*B*a^9*b*d^2*e^9 + 2520*A*a^2*b^8*d^8*e^3 + 840*A*a^3*b^7*d^7*e^4 + 420*A*a^4*b^6*d^6*e^5 + 252*A*a^5*b^5*d^5*e^6 + 168*A*a^6*b^4*d^4*e^7 + 120*A*a^7*b^3*d^3*e^8 + 90*A*a^8*b^2*d^2*e^9 - 64161*B*a^2*b^8*d^9*e^2 + 6720*B*a^3*b^7*d^8*e^3 + 1470*B*a^4*b^6*d^7*e^4 + 504*B*a^5*b^5*d^6*e^5 + 210*B*a^6*b^4*d^5*e^6 + 96*B*a^7*b^3*d^4*e^7 + 45*B*a^8*b^2*d^3*e^8 + 70*A*a^9*b*d*e^10 + 97220*B*a*b^9*d^10*e)/(504*e) + x*((B*a^10*e^10)/8 - (39611*B*b^10*d^10)/56 + (5*A*a^9*b*e^10)/4 + (4609*A*b^10*d^9*e)/28 - (6849*A*a*b^9*d^8*e^2)/28 + (45*A*a^8*b^2*d*e^9)/28 + 45*A*a^2*b^8*d^7*e^3 + 15*A*a^3*b^7*d^6*e^4 + (15*A*a^4*b^6*d^5*e^5)/2 + (9*A*a^5*b^5*d^4*e^6)/2 + 3*A*a^6*b^4*d^3*e^7 + (15*A*a^7*b^3*d^2*e^8)/7 - (61641*B*a^2*b^8*d^8*e^2)/56 + 120*B*a^3*b^7*d^7*e^3 + (105*B*a^4*b^6*d^6*e^4)/4 + 9*B*a^5*b^5*d^5*e^5 + (15*B*a^6*b^4*d^4*e^6)/4 + (12*B*a^7*b^3*d^3*e^7)/7 + (45*B*a^8*b^2*d^2*e^8)/56 + (23045*B*a*b^9*d^9*e)/14 + (5*B*a^9*b*d*e^9)/14) + x^8*(45*A*a^2*b^8*e^10 + 120*B*a^3*b^7*e^10 + 45*A*b^10*d^2*e^8 - 165*B*b^10*d^3*e^7 + 450*B*a*b^9*d^2*e^8 - 405*B*a^2*b^8*d*e^9 - 90*A*a*b^9*d*e^9) + x^5*(63*A*a^5*b^5*e^10 + (105*B*a^6*b^4*e^10)/2 + 1617*A*b^10*d^5*e^5 - (13167*B*b^10*d^6*e^4)/2 - 2625*A*a*b^9*d^4*e^6 + 105*A*a^4*b^6*d*e^9 + 16170*B*a*b^9*d^5*e^5 + 126*B*a^5*b^5*d*e^9 + 630*A*a^2*b^8*d^3*e^7 + 210*A*a^3*b^7*d^2*e^8 - (23625*B*a^2*b^8*d^4*e^6)/2 + 1680*B*a^3*b^7*d^3*e^7 + (735*B*a^4*b^6*d^2*e^8)/2) + x^2*((10*B*a^9*b*e^10)/7 - (36839*B*b^10*d^9*e)/14 + (45*A*a^8*b^2*e^10)/7 + (4329*A*b^10*d^8*e^2)/7 - (6534*A*a*b^9*d^7*e^3)/7 + (60*A*a^7*b^3*d*e^9)/7 + (43290*B*a*b^9*d^8*e^2)/7 + (45*B*a^8*b^2*d*e^9)/14 + 180*A*a^2*b^8*d^6*e^4 + 60*A*a^3*b^7*d^5*e^5 + 30*A*a^4*b^6*d^4*e^6 + 18*A*a^5*b^5*d^3*e^7 + 12*A*a^6*b^4*d^2*e^8 - (29403*B*a^2*b^8*d^7*e^3)/7 + 480*B*a^3*b^7*d^6*e^4 + 105*B*a^4*b^6*d^5*e^5 + 36*B*a^5*b^5*d^4*e^6 + 15*B*a^6*b^4*d^3*e^7 + (48*B*a^7*b^3*d^2*e^8)/7))/(d^9*e^11 + e^20*x^9 + 9*d^8*e^12*x + 9*d*e^19*x^8 + 36*d^7*e^13*x^2 + 84*d^6*e^14*x^3 + 126*d^5*e^15*x^4 + 126*d^4*e^16*x^5 + 84*d^3*e^17*x^6 + 36*d^2*e^18*x^7) + (log(d + e*x)*(55*B*b^10*d^2 - 10*A*b^10*d*e + 10*A*a*b^9*e^2 + 45*B*a^2*b^8*e^2 - 100*B*a*b^9*d*e))/e^12 + (B*b^10*x^2)/(2*e^10)","B"
1099,1,2874,446,1.763656,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^11,x)","-\frac{\frac{A\,a^{10}\,e^{11}}{10}+\frac{55991\,B\,b^{10}\,d^{11}}{2520}-\frac{7381\,A\,b^{10}\,d^{10}\,e}{2520}+\frac{B\,a^{10}\,d\,e^{10}}{90}+11\,B\,b^{10}\,d^{11}\,\ln\left(d+e\,x\right)+\frac{B\,a^{10}\,e^{11}\,x}{9}-B\,b^{10}\,e^{11}\,x^{11}+\frac{53219\,B\,b^{10}\,d^{10}\,e\,x}{252}+A\,a\,b^9\,d^9\,e^2+\frac{B\,a^9\,b\,d^2\,e^9}{36}+10\,A\,a\,b^9\,e^{11}\,x^9+\frac{5\,B\,a^9\,b\,e^{11}\,x^2}{4}-\frac{7129\,A\,b^{10}\,d^9\,e^2\,x}{252}-10\,A\,b^{10}\,d\,e^{10}\,x^9-10\,B\,b^{10}\,d\,e^{10}\,x^{10}-A\,b^{10}\,e^{11}\,x^{10}\,\ln\left(d+e\,x\right)+\frac{A\,a^2\,b^8\,d^8\,e^3}{2}+\frac{A\,a^3\,b^7\,d^7\,e^4}{3}+\frac{A\,a^4\,b^6\,d^6\,e^5}{4}+\frac{A\,a^5\,b^5\,d^5\,e^6}{5}+\frac{A\,a^6\,b^4\,d^4\,e^7}{6}+\frac{A\,a^7\,b^3\,d^3\,e^8}{7}+\frac{A\,a^8\,b^2\,d^2\,e^9}{8}+\frac{9\,B\,a^2\,b^8\,d^9\,e^2}{2}+\frac{4\,B\,a^3\,b^7\,d^8\,e^3}{3}+\frac{7\,B\,a^4\,b^6\,d^7\,e^4}{12}+\frac{3\,B\,a^5\,b^5\,d^6\,e^5}{10}+\frac{B\,a^6\,b^4\,d^5\,e^6}{6}+\frac{2\,B\,a^7\,b^3\,d^4\,e^7}{21}+\frac{3\,B\,a^8\,b^2\,d^3\,e^8}{56}+\frac{45\,A\,a^8\,b^2\,e^{11}\,x^2}{8}+\frac{120\,A\,a^7\,b^3\,e^{11}\,x^3}{7}+35\,A\,a^6\,b^4\,e^{11}\,x^4+\frac{252\,A\,a^5\,b^5\,e^{11}\,x^5}{5}+\frac{105\,A\,a^4\,b^6\,e^{11}\,x^6}{2}+40\,A\,a^3\,b^7\,e^{11}\,x^7+\frac{45\,A\,a^2\,b^8\,e^{11}\,x^8}{2}+\frac{45\,B\,a^8\,b^2\,e^{11}\,x^3}{7}+20\,B\,a^7\,b^3\,e^{11}\,x^4+42\,B\,a^6\,b^4\,e^{11}\,x^5+63\,B\,a^5\,b^5\,e^{11}\,x^6+70\,B\,a^4\,b^6\,e^{11}\,x^7+60\,B\,a^3\,b^7\,e^{11}\,x^8+45\,B\,a^2\,b^8\,e^{11}\,x^9-\frac{6849\,A\,b^{10}\,d^8\,e^3\,x^2}{56}-\frac{2178\,A\,b^{10}\,d^7\,e^4\,x^3}{7}-\frac{1029\,A\,b^{10}\,d^6\,e^5\,x^4}{2}-\frac{2877\,A\,b^{10}\,d^5\,e^6\,x^5}{5}-\frac{875\,A\,b^{10}\,d^4\,e^7\,x^6}{2}-220\,A\,b^{10}\,d^3\,e^8\,x^7-\frac{135\,A\,b^{10}\,d^2\,e^9\,x^8}{2}+\frac{50139\,B\,b^{10}\,d^9\,e^2\,x^2}{56}+\frac{15558\,B\,b^{10}\,d^8\,e^3\,x^3}{7}+\frac{7119\,B\,b^{10}\,d^7\,e^4\,x^4}{2}+\frac{19047\,B\,b^{10}\,d^6\,e^5\,x^5}{5}+\frac{5425\,B\,b^{10}\,d^5\,e^6\,x^6}{2}+1220\,B\,b^{10}\,d^4\,e^7\,x^7+\frac{585\,B\,b^{10}\,d^3\,e^8\,x^8}{2}+10\,B\,b^{10}\,d^2\,e^9\,x^9+\frac{A\,a^9\,b\,d\,e^{10}}{9}-\frac{7381\,B\,a\,b^9\,d^{10}\,e}{252}-A\,b^{10}\,d^{10}\,e\,\ln\left(d+e\,x\right)+\frac{10\,A\,a^9\,b\,e^{11}\,x}{9}+5\,A\,a^2\,b^8\,d^7\,e^4\,x+\frac{10\,A\,a^3\,b^7\,d^6\,e^5\,x}{3}+\frac{5\,A\,a^4\,b^6\,d^5\,e^6\,x}{2}+2\,A\,a^5\,b^5\,d^4\,e^7\,x+\frac{5\,A\,a^6\,b^4\,d^3\,e^8\,x}{3}+\frac{10\,A\,a^7\,b^3\,d^2\,e^9\,x}{7}+45\,A\,a\,b^9\,d^7\,e^4\,x^2+\frac{45\,A\,a^7\,b^3\,d\,e^{10}\,x^2}{7}+120\,A\,a\,b^9\,d^6\,e^5\,x^3+20\,A\,a^6\,b^4\,d\,e^{10}\,x^3+210\,A\,a\,b^9\,d^5\,e^6\,x^4+42\,A\,a^5\,b^5\,d\,e^{10}\,x^4+252\,A\,a\,b^9\,d^4\,e^7\,x^5+63\,A\,a^4\,b^6\,d\,e^{10}\,x^5+210\,A\,a\,b^9\,d^3\,e^8\,x^6+70\,A\,a^3\,b^7\,d\,e^{10}\,x^6+120\,A\,a\,b^9\,d^2\,e^9\,x^7+60\,A\,a^2\,b^8\,d\,e^{10}\,x^7+45\,B\,a^2\,b^8\,d^8\,e^3\,x+\frac{40\,B\,a^3\,b^7\,d^7\,e^4\,x}{3}+\frac{35\,B\,a^4\,b^6\,d^6\,e^5\,x}{6}+3\,B\,a^5\,b^5\,d^5\,e^6\,x+\frac{5\,B\,a^6\,b^4\,d^4\,e^7\,x}{3}+\frac{20\,B\,a^7\,b^3\,d^3\,e^8\,x}{21}+\frac{15\,B\,a^8\,b^2\,d^2\,e^9\,x}{28}-\frac{34245\,B\,a\,b^9\,d^8\,e^3\,x^2}{28}+\frac{135\,B\,a^8\,b^2\,d\,e^{10}\,x^2}{56}-\frac{21780\,B\,a\,b^9\,d^7\,e^4\,x^3}{7}+\frac{80\,B\,a^7\,b^3\,d\,e^{10}\,x^3}{7}-5145\,B\,a\,b^9\,d^6\,e^5\,x^4+35\,B\,a^6\,b^4\,d\,e^{10}\,x^4-5754\,B\,a\,b^9\,d^5\,e^6\,x^5+\frac{378\,B\,a^5\,b^5\,d\,e^{10}\,x^5}{5}-4375\,B\,a\,b^9\,d^4\,e^7\,x^6+\frac{245\,B\,a^4\,b^6\,d\,e^{10}\,x^6}{2}-2200\,B\,a\,b^9\,d^3\,e^8\,x^7+160\,B\,a^3\,b^7\,d\,e^{10}\,x^7-675\,B\,a\,b^9\,d^2\,e^9\,x^8+\frac{405\,B\,a^2\,b^8\,d\,e^{10}\,x^8}{2}-45\,A\,b^{10}\,d^8\,e^3\,x^2\,\ln\left(d+e\,x\right)-120\,A\,b^{10}\,d^7\,e^4\,x^3\,\ln\left(d+e\,x\right)-210\,A\,b^{10}\,d^6\,e^5\,x^4\,\ln\left(d+e\,x\right)-252\,A\,b^{10}\,d^5\,e^6\,x^5\,\ln\left(d+e\,x\right)-210\,A\,b^{10}\,d^4\,e^7\,x^6\,\ln\left(d+e\,x\right)-120\,A\,b^{10}\,d^3\,e^8\,x^7\,\ln\left(d+e\,x\right)-45\,A\,b^{10}\,d^2\,e^9\,x^8\,\ln\left(d+e\,x\right)+495\,B\,b^{10}\,d^9\,e^2\,x^2\,\ln\left(d+e\,x\right)+1320\,B\,b^{10}\,d^8\,e^3\,x^3\,\ln\left(d+e\,x\right)+2310\,B\,b^{10}\,d^7\,e^4\,x^4\,\ln\left(d+e\,x\right)+2772\,B\,b^{10}\,d^6\,e^5\,x^5\,\ln\left(d+e\,x\right)+2310\,B\,b^{10}\,d^5\,e^6\,x^6\,\ln\left(d+e\,x\right)+1320\,B\,b^{10}\,d^4\,e^7\,x^7\,\ln\left(d+e\,x\right)+495\,B\,b^{10}\,d^3\,e^8\,x^8\,\ln\left(d+e\,x\right)+110\,B\,b^{10}\,d^2\,e^9\,x^9\,\ln\left(d+e\,x\right)-10\,B\,a\,b^9\,d^{10}\,e\,\ln\left(d+e\,x\right)+\frac{5\,B\,a^9\,b\,d\,e^{10}\,x}{18}+110\,B\,b^{10}\,d^{10}\,e\,x\,\ln\left(d+e\,x\right)+\frac{45\,A\,a^2\,b^8\,d^6\,e^5\,x^2}{2}+15\,A\,a^3\,b^7\,d^5\,e^6\,x^2+\frac{45\,A\,a^4\,b^6\,d^4\,e^7\,x^2}{4}+9\,A\,a^5\,b^5\,d^3\,e^8\,x^2+\frac{15\,A\,a^6\,b^4\,d^2\,e^9\,x^2}{2}+60\,A\,a^2\,b^8\,d^5\,e^6\,x^3+40\,A\,a^3\,b^7\,d^4\,e^7\,x^3+30\,A\,a^4\,b^6\,d^3\,e^8\,x^3+24\,A\,a^5\,b^5\,d^2\,e^9\,x^3+105\,A\,a^2\,b^8\,d^4\,e^7\,x^4+70\,A\,a^3\,b^7\,d^3\,e^8\,x^4+\frac{105\,A\,a^4\,b^6\,d^2\,e^9\,x^4}{2}+126\,A\,a^2\,b^8\,d^3\,e^8\,x^5+84\,A\,a^3\,b^7\,d^2\,e^9\,x^5+105\,A\,a^2\,b^8\,d^2\,e^9\,x^6+\frac{405\,B\,a^2\,b^8\,d^7\,e^4\,x^2}{2}+60\,B\,a^3\,b^7\,d^6\,e^5\,x^2+\frac{105\,B\,a^4\,b^6\,d^5\,e^6\,x^2}{4}+\frac{27\,B\,a^5\,b^5\,d^4\,e^7\,x^2}{2}+\frac{15\,B\,a^6\,b^4\,d^3\,e^8\,x^2}{2}+\frac{30\,B\,a^7\,b^3\,d^2\,e^9\,x^2}{7}+540\,B\,a^2\,b^8\,d^6\,e^5\,x^3+160\,B\,a^3\,b^7\,d^5\,e^6\,x^3+70\,B\,a^4\,b^6\,d^4\,e^7\,x^3+36\,B\,a^5\,b^5\,d^3\,e^8\,x^3+20\,B\,a^6\,b^4\,d^2\,e^9\,x^3+945\,B\,a^2\,b^8\,d^5\,e^6\,x^4+280\,B\,a^3\,b^7\,d^4\,e^7\,x^4+\frac{245\,B\,a^4\,b^6\,d^3\,e^8\,x^4}{2}+63\,B\,a^5\,b^5\,d^2\,e^9\,x^4+1134\,B\,a^2\,b^8\,d^4\,e^7\,x^5+336\,B\,a^3\,b^7\,d^3\,e^8\,x^5+147\,B\,a^4\,b^6\,d^2\,e^9\,x^5+945\,B\,a^2\,b^8\,d^3\,e^8\,x^6+280\,B\,a^3\,b^7\,d^2\,e^9\,x^6+540\,B\,a^2\,b^8\,d^2\,e^9\,x^7+10\,A\,a\,b^9\,d^8\,e^3\,x+\frac{5\,A\,a^8\,b^2\,d\,e^{10}\,x}{4}+45\,A\,a\,b^9\,d\,e^{10}\,x^8-\frac{35645\,B\,a\,b^9\,d^9\,e^2\,x}{126}-100\,B\,a\,b^9\,d\,e^{10}\,x^9-10\,B\,a\,b^9\,e^{11}\,x^{10}\,\ln\left(d+e\,x\right)-10\,A\,b^{10}\,d^9\,e^2\,x\,\ln\left(d+e\,x\right)-10\,A\,b^{10}\,d\,e^{10}\,x^9\,\ln\left(d+e\,x\right)+11\,B\,b^{10}\,d\,e^{10}\,x^{10}\,\ln\left(d+e\,x\right)-100\,B\,a\,b^9\,d^9\,e^2\,x\,\ln\left(d+e\,x\right)-100\,B\,a\,b^9\,d\,e^{10}\,x^9\,\ln\left(d+e\,x\right)-450\,B\,a\,b^9\,d^8\,e^3\,x^2\,\ln\left(d+e\,x\right)-1200\,B\,a\,b^9\,d^7\,e^4\,x^3\,\ln\left(d+e\,x\right)-2100\,B\,a\,b^9\,d^6\,e^5\,x^4\,\ln\left(d+e\,x\right)-2520\,B\,a\,b^9\,d^5\,e^6\,x^5\,\ln\left(d+e\,x\right)-2100\,B\,a\,b^9\,d^4\,e^7\,x^6\,\ln\left(d+e\,x\right)-1200\,B\,a\,b^9\,d^3\,e^8\,x^7\,\ln\left(d+e\,x\right)-450\,B\,a\,b^9\,d^2\,e^9\,x^8\,\ln\left(d+e\,x\right)}{e^{12}\,{\left(d+e\,x\right)}^{10}}","Not used",1,"-((A*a^10*e^11)/10 + (55991*B*b^10*d^11)/2520 - (7381*A*b^10*d^10*e)/2520 + (B*a^10*d*e^10)/90 + 11*B*b^10*d^11*log(d + e*x) + (B*a^10*e^11*x)/9 - B*b^10*e^11*x^11 + (53219*B*b^10*d^10*e*x)/252 + A*a*b^9*d^9*e^2 + (B*a^9*b*d^2*e^9)/36 + 10*A*a*b^9*e^11*x^9 + (5*B*a^9*b*e^11*x^2)/4 - (7129*A*b^10*d^9*e^2*x)/252 - 10*A*b^10*d*e^10*x^9 - 10*B*b^10*d*e^10*x^10 - A*b^10*e^11*x^10*log(d + e*x) + (A*a^2*b^8*d^8*e^3)/2 + (A*a^3*b^7*d^7*e^4)/3 + (A*a^4*b^6*d^6*e^5)/4 + (A*a^5*b^5*d^5*e^6)/5 + (A*a^6*b^4*d^4*e^7)/6 + (A*a^7*b^3*d^3*e^8)/7 + (A*a^8*b^2*d^2*e^9)/8 + (9*B*a^2*b^8*d^9*e^2)/2 + (4*B*a^3*b^7*d^8*e^3)/3 + (7*B*a^4*b^6*d^7*e^4)/12 + (3*B*a^5*b^5*d^6*e^5)/10 + (B*a^6*b^4*d^5*e^6)/6 + (2*B*a^7*b^3*d^4*e^7)/21 + (3*B*a^8*b^2*d^3*e^8)/56 + (45*A*a^8*b^2*e^11*x^2)/8 + (120*A*a^7*b^3*e^11*x^3)/7 + 35*A*a^6*b^4*e^11*x^4 + (252*A*a^5*b^5*e^11*x^5)/5 + (105*A*a^4*b^6*e^11*x^6)/2 + 40*A*a^3*b^7*e^11*x^7 + (45*A*a^2*b^8*e^11*x^8)/2 + (45*B*a^8*b^2*e^11*x^3)/7 + 20*B*a^7*b^3*e^11*x^4 + 42*B*a^6*b^4*e^11*x^5 + 63*B*a^5*b^5*e^11*x^6 + 70*B*a^4*b^6*e^11*x^7 + 60*B*a^3*b^7*e^11*x^8 + 45*B*a^2*b^8*e^11*x^9 - (6849*A*b^10*d^8*e^3*x^2)/56 - (2178*A*b^10*d^7*e^4*x^3)/7 - (1029*A*b^10*d^6*e^5*x^4)/2 - (2877*A*b^10*d^5*e^6*x^5)/5 - (875*A*b^10*d^4*e^7*x^6)/2 - 220*A*b^10*d^3*e^8*x^7 - (135*A*b^10*d^2*e^9*x^8)/2 + (50139*B*b^10*d^9*e^2*x^2)/56 + (15558*B*b^10*d^8*e^3*x^3)/7 + (7119*B*b^10*d^7*e^4*x^4)/2 + (19047*B*b^10*d^6*e^5*x^5)/5 + (5425*B*b^10*d^5*e^6*x^6)/2 + 1220*B*b^10*d^4*e^7*x^7 + (585*B*b^10*d^3*e^8*x^8)/2 + 10*B*b^10*d^2*e^9*x^9 + (A*a^9*b*d*e^10)/9 - (7381*B*a*b^9*d^10*e)/252 - A*b^10*d^10*e*log(d + e*x) + (10*A*a^9*b*e^11*x)/9 + 5*A*a^2*b^8*d^7*e^4*x + (10*A*a^3*b^7*d^6*e^5*x)/3 + (5*A*a^4*b^6*d^5*e^6*x)/2 + 2*A*a^5*b^5*d^4*e^7*x + (5*A*a^6*b^4*d^3*e^8*x)/3 + (10*A*a^7*b^3*d^2*e^9*x)/7 + 45*A*a*b^9*d^7*e^4*x^2 + (45*A*a^7*b^3*d*e^10*x^2)/7 + 120*A*a*b^9*d^6*e^5*x^3 + 20*A*a^6*b^4*d*e^10*x^3 + 210*A*a*b^9*d^5*e^6*x^4 + 42*A*a^5*b^5*d*e^10*x^4 + 252*A*a*b^9*d^4*e^7*x^5 + 63*A*a^4*b^6*d*e^10*x^5 + 210*A*a*b^9*d^3*e^8*x^6 + 70*A*a^3*b^7*d*e^10*x^6 + 120*A*a*b^9*d^2*e^9*x^7 + 60*A*a^2*b^8*d*e^10*x^7 + 45*B*a^2*b^8*d^8*e^3*x + (40*B*a^3*b^7*d^7*e^4*x)/3 + (35*B*a^4*b^6*d^6*e^5*x)/6 + 3*B*a^5*b^5*d^5*e^6*x + (5*B*a^6*b^4*d^4*e^7*x)/3 + (20*B*a^7*b^3*d^3*e^8*x)/21 + (15*B*a^8*b^2*d^2*e^9*x)/28 - (34245*B*a*b^9*d^8*e^3*x^2)/28 + (135*B*a^8*b^2*d*e^10*x^2)/56 - (21780*B*a*b^9*d^7*e^4*x^3)/7 + (80*B*a^7*b^3*d*e^10*x^3)/7 - 5145*B*a*b^9*d^6*e^5*x^4 + 35*B*a^6*b^4*d*e^10*x^4 - 5754*B*a*b^9*d^5*e^6*x^5 + (378*B*a^5*b^5*d*e^10*x^5)/5 - 4375*B*a*b^9*d^4*e^7*x^6 + (245*B*a^4*b^6*d*e^10*x^6)/2 - 2200*B*a*b^9*d^3*e^8*x^7 + 160*B*a^3*b^7*d*e^10*x^7 - 675*B*a*b^9*d^2*e^9*x^8 + (405*B*a^2*b^8*d*e^10*x^8)/2 - 45*A*b^10*d^8*e^3*x^2*log(d + e*x) - 120*A*b^10*d^7*e^4*x^3*log(d + e*x) - 210*A*b^10*d^6*e^5*x^4*log(d + e*x) - 252*A*b^10*d^5*e^6*x^5*log(d + e*x) - 210*A*b^10*d^4*e^7*x^6*log(d + e*x) - 120*A*b^10*d^3*e^8*x^7*log(d + e*x) - 45*A*b^10*d^2*e^9*x^8*log(d + e*x) + 495*B*b^10*d^9*e^2*x^2*log(d + e*x) + 1320*B*b^10*d^8*e^3*x^3*log(d + e*x) + 2310*B*b^10*d^7*e^4*x^4*log(d + e*x) + 2772*B*b^10*d^6*e^5*x^5*log(d + e*x) + 2310*B*b^10*d^5*e^6*x^6*log(d + e*x) + 1320*B*b^10*d^4*e^7*x^7*log(d + e*x) + 495*B*b^10*d^3*e^8*x^8*log(d + e*x) + 110*B*b^10*d^2*e^9*x^9*log(d + e*x) - 10*B*a*b^9*d^10*e*log(d + e*x) + (5*B*a^9*b*d*e^10*x)/18 + 110*B*b^10*d^10*e*x*log(d + e*x) + (45*A*a^2*b^8*d^6*e^5*x^2)/2 + 15*A*a^3*b^7*d^5*e^6*x^2 + (45*A*a^4*b^6*d^4*e^7*x^2)/4 + 9*A*a^5*b^5*d^3*e^8*x^2 + (15*A*a^6*b^4*d^2*e^9*x^2)/2 + 60*A*a^2*b^8*d^5*e^6*x^3 + 40*A*a^3*b^7*d^4*e^7*x^3 + 30*A*a^4*b^6*d^3*e^8*x^3 + 24*A*a^5*b^5*d^2*e^9*x^3 + 105*A*a^2*b^8*d^4*e^7*x^4 + 70*A*a^3*b^7*d^3*e^8*x^4 + (105*A*a^4*b^6*d^2*e^9*x^4)/2 + 126*A*a^2*b^8*d^3*e^8*x^5 + 84*A*a^3*b^7*d^2*e^9*x^5 + 105*A*a^2*b^8*d^2*e^9*x^6 + (405*B*a^2*b^8*d^7*e^4*x^2)/2 + 60*B*a^3*b^7*d^6*e^5*x^2 + (105*B*a^4*b^6*d^5*e^6*x^2)/4 + (27*B*a^5*b^5*d^4*e^7*x^2)/2 + (15*B*a^6*b^4*d^3*e^8*x^2)/2 + (30*B*a^7*b^3*d^2*e^9*x^2)/7 + 540*B*a^2*b^8*d^6*e^5*x^3 + 160*B*a^3*b^7*d^5*e^6*x^3 + 70*B*a^4*b^6*d^4*e^7*x^3 + 36*B*a^5*b^5*d^3*e^8*x^3 + 20*B*a^6*b^4*d^2*e^9*x^3 + 945*B*a^2*b^8*d^5*e^6*x^4 + 280*B*a^3*b^7*d^4*e^7*x^4 + (245*B*a^4*b^6*d^3*e^8*x^4)/2 + 63*B*a^5*b^5*d^2*e^9*x^4 + 1134*B*a^2*b^8*d^4*e^7*x^5 + 336*B*a^3*b^7*d^3*e^8*x^5 + 147*B*a^4*b^6*d^2*e^9*x^5 + 945*B*a^2*b^8*d^3*e^8*x^6 + 280*B*a^3*b^7*d^2*e^9*x^6 + 540*B*a^2*b^8*d^2*e^9*x^7 + 10*A*a*b^9*d^8*e^3*x + (5*A*a^8*b^2*d*e^10*x)/4 + 45*A*a*b^9*d*e^10*x^8 - (35645*B*a*b^9*d^9*e^2*x)/126 - 100*B*a*b^9*d*e^10*x^9 - 10*B*a*b^9*e^11*x^10*log(d + e*x) - 10*A*b^10*d^9*e^2*x*log(d + e*x) - 10*A*b^10*d*e^10*x^9*log(d + e*x) + 11*B*b^10*d*e^10*x^10*log(d + e*x) - 100*B*a*b^9*d^9*e^2*x*log(d + e*x) - 100*B*a*b^9*d*e^10*x^9*log(d + e*x) - 450*B*a*b^9*d^8*e^3*x^2*log(d + e*x) - 1200*B*a*b^9*d^7*e^4*x^3*log(d + e*x) - 2100*B*a*b^9*d^6*e^5*x^4*log(d + e*x) - 2520*B*a*b^9*d^5*e^6*x^5*log(d + e*x) - 2100*B*a*b^9*d^4*e^7*x^6*log(d + e*x) - 1200*B*a*b^9*d^3*e^8*x^7*log(d + e*x) - 450*B*a*b^9*d^2*e^9*x^8*log(d + e*x))/(e^12*(d + e*x)^10)","B"
1100,1,2446,321,1.706403,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^12,x)","-\frac{\frac{A\,a^{10}\,e^{11}}{11}-\frac{83711\,B\,b^{10}\,d^{11}}{27720}+\frac{A\,b^{10}\,d^{10}\,e}{11}+\frac{B\,a^{10}\,d\,e^{10}}{110}-B\,b^{10}\,d^{11}\,\ln\left(d+e\,x\right)+\frac{B\,a^{10}\,e^{11}\,x}{10}+A\,b^{10}\,e^{11}\,x^{10}-\frac{81191\,B\,b^{10}\,d^{10}\,e\,x}{2520}+\frac{A\,a\,b^9\,d^9\,e^2}{11}+\frac{2\,B\,a^9\,b\,d^2\,e^9}{99}+5\,A\,a\,b^9\,e^{11}\,x^9+\frac{10\,B\,a^9\,b\,e^{11}\,x^2}{9}+10\,B\,a\,b^9\,e^{11}\,x^{10}+A\,b^{10}\,d^9\,e^2\,x+5\,A\,b^{10}\,d\,e^{10}\,x^9-11\,B\,b^{10}\,d\,e^{10}\,x^{10}-B\,b^{10}\,e^{11}\,x^{11}\,\ln\left(d+e\,x\right)+\frac{A\,a^2\,b^8\,d^8\,e^3}{11}+\frac{A\,a^3\,b^7\,d^7\,e^4}{11}+\frac{A\,a^4\,b^6\,d^6\,e^5}{11}+\frac{A\,a^5\,b^5\,d^5\,e^6}{11}+\frac{A\,a^6\,b^4\,d^4\,e^7}{11}+\frac{A\,a^7\,b^3\,d^3\,e^8}{11}+\frac{A\,a^8\,b^2\,d^2\,e^9}{11}+\frac{9\,B\,a^2\,b^8\,d^9\,e^2}{22}+\frac{8\,B\,a^3\,b^7\,d^8\,e^3}{33}+\frac{7\,B\,a^4\,b^6\,d^7\,e^4}{44}+\frac{6\,B\,a^5\,b^5\,d^6\,e^5}{55}+\frac{5\,B\,a^6\,b^4\,d^5\,e^6}{66}+\frac{4\,B\,a^7\,b^3\,d^4\,e^7}{77}+\frac{3\,B\,a^8\,b^2\,d^3\,e^8}{88}+5\,A\,a^8\,b^2\,e^{11}\,x^2+15\,A\,a^7\,b^3\,e^{11}\,x^3+30\,A\,a^6\,b^4\,e^{11}\,x^4+42\,A\,a^5\,b^5\,e^{11}\,x^5+42\,A\,a^4\,b^6\,e^{11}\,x^6+30\,A\,a^3\,b^7\,e^{11}\,x^7+15\,A\,a^2\,b^8\,e^{11}\,x^8+\frac{45\,B\,a^8\,b^2\,e^{11}\,x^3}{8}+\frac{120\,B\,a^7\,b^3\,e^{11}\,x^4}{7}+35\,B\,a^6\,b^4\,e^{11}\,x^5+\frac{252\,B\,a^5\,b^5\,e^{11}\,x^6}{5}+\frac{105\,B\,a^4\,b^6\,e^{11}\,x^7}{2}+40\,B\,a^3\,b^7\,e^{11}\,x^8+\frac{45\,B\,a^2\,b^8\,e^{11}\,x^9}{2}+5\,A\,b^{10}\,d^8\,e^3\,x^2+15\,A\,b^{10}\,d^7\,e^4\,x^3+30\,A\,b^{10}\,d^6\,e^5\,x^4+42\,A\,b^{10}\,d^5\,e^6\,x^5+42\,A\,b^{10}\,d^4\,e^7\,x^6+30\,A\,b^{10}\,d^3\,e^8\,x^7+15\,A\,b^{10}\,d^2\,e^9\,x^8-\frac{78419\,B\,b^{10}\,d^9\,e^2\,x^2}{504}-\frac{25113\,B\,b^{10}\,d^8\,e^3\,x^3}{56}-\frac{11979\,B\,b^{10}\,d^7\,e^4\,x^4}{14}-\frac{11319\,B\,b^{10}\,d^6\,e^5\,x^5}{10}-\frac{10549\,B\,b^{10}\,d^5\,e^6\,x^6}{10}-\frac{1375\,B\,b^{10}\,d^4\,e^7\,x^7}{2}-\frac{605\,B\,b^{10}\,d^3\,e^8\,x^8}{2}-\frac{165\,B\,b^{10}\,d^2\,e^9\,x^9}{2}+\frac{A\,a^9\,b\,d\,e^{10}}{11}+\frac{10\,B\,a\,b^9\,d^{10}\,e}{11}+A\,a^9\,b\,e^{11}\,x+A\,a^2\,b^8\,d^7\,e^4\,x+A\,a^3\,b^7\,d^6\,e^5\,x+A\,a^4\,b^6\,d^5\,e^6\,x+A\,a^5\,b^5\,d^4\,e^7\,x+A\,a^6\,b^4\,d^3\,e^8\,x+A\,a^7\,b^3\,d^2\,e^9\,x+5\,A\,a\,b^9\,d^7\,e^4\,x^2+5\,A\,a^7\,b^3\,d\,e^{10}\,x^2+15\,A\,a\,b^9\,d^6\,e^5\,x^3+15\,A\,a^6\,b^4\,d\,e^{10}\,x^3+30\,A\,a\,b^9\,d^5\,e^6\,x^4+30\,A\,a^5\,b^5\,d\,e^{10}\,x^4+42\,A\,a\,b^9\,d^4\,e^7\,x^5+42\,A\,a^4\,b^6\,d\,e^{10}\,x^5+42\,A\,a\,b^9\,d^3\,e^8\,x^6+42\,A\,a^3\,b^7\,d\,e^{10}\,x^6+30\,A\,a\,b^9\,d^2\,e^9\,x^7+30\,A\,a^2\,b^8\,d\,e^{10}\,x^7+\frac{9\,B\,a^2\,b^8\,d^8\,e^3\,x}{2}+\frac{8\,B\,a^3\,b^7\,d^7\,e^4\,x}{3}+\frac{7\,B\,a^4\,b^6\,d^6\,e^5\,x}{4}+\frac{6\,B\,a^5\,b^5\,d^5\,e^6\,x}{5}+\frac{5\,B\,a^6\,b^4\,d^4\,e^7\,x}{6}+\frac{4\,B\,a^7\,b^3\,d^3\,e^8\,x}{7}+\frac{3\,B\,a^8\,b^2\,d^2\,e^9\,x}{8}+50\,B\,a\,b^9\,d^8\,e^3\,x^2+\frac{15\,B\,a^8\,b^2\,d\,e^{10}\,x^2}{8}+150\,B\,a\,b^9\,d^7\,e^4\,x^3+\frac{60\,B\,a^7\,b^3\,d\,e^{10}\,x^3}{7}+300\,B\,a\,b^9\,d^6\,e^5\,x^4+25\,B\,a^6\,b^4\,d\,e^{10}\,x^4+420\,B\,a\,b^9\,d^5\,e^6\,x^5+\frac{252\,B\,a^5\,b^5\,d\,e^{10}\,x^5}{5}+420\,B\,a\,b^9\,d^4\,e^7\,x^6+\frac{147\,B\,a^4\,b^6\,d\,e^{10}\,x^6}{2}+300\,B\,a\,b^9\,d^3\,e^8\,x^7+80\,B\,a^3\,b^7\,d\,e^{10}\,x^7+150\,B\,a\,b^9\,d^2\,e^9\,x^8+\frac{135\,B\,a^2\,b^8\,d\,e^{10}\,x^8}{2}-55\,B\,b^{10}\,d^9\,e^2\,x^2\,\ln\left(d+e\,x\right)-165\,B\,b^{10}\,d^8\,e^3\,x^3\,\ln\left(d+e\,x\right)-330\,B\,b^{10}\,d^7\,e^4\,x^4\,\ln\left(d+e\,x\right)-462\,B\,b^{10}\,d^6\,e^5\,x^5\,\ln\left(d+e\,x\right)-462\,B\,b^{10}\,d^5\,e^6\,x^6\,\ln\left(d+e\,x\right)-330\,B\,b^{10}\,d^4\,e^7\,x^7\,\ln\left(d+e\,x\right)-165\,B\,b^{10}\,d^3\,e^8\,x^8\,\ln\left(d+e\,x\right)-55\,B\,b^{10}\,d^2\,e^9\,x^9\,\ln\left(d+e\,x\right)+\frac{2\,B\,a^9\,b\,d\,e^{10}\,x}{9}-11\,B\,b^{10}\,d^{10}\,e\,x\,\ln\left(d+e\,x\right)+5\,A\,a^2\,b^8\,d^6\,e^5\,x^2+5\,A\,a^3\,b^7\,d^5\,e^6\,x^2+5\,A\,a^4\,b^6\,d^4\,e^7\,x^2+5\,A\,a^5\,b^5\,d^3\,e^8\,x^2+5\,A\,a^6\,b^4\,d^2\,e^9\,x^2+15\,A\,a^2\,b^8\,d^5\,e^6\,x^3+15\,A\,a^3\,b^7\,d^4\,e^7\,x^3+15\,A\,a^4\,b^6\,d^3\,e^8\,x^3+15\,A\,a^5\,b^5\,d^2\,e^9\,x^3+30\,A\,a^2\,b^8\,d^4\,e^7\,x^4+30\,A\,a^3\,b^7\,d^3\,e^8\,x^4+30\,A\,a^4\,b^6\,d^2\,e^9\,x^4+42\,A\,a^2\,b^8\,d^3\,e^8\,x^5+42\,A\,a^3\,b^7\,d^2\,e^9\,x^5+42\,A\,a^2\,b^8\,d^2\,e^9\,x^6+\frac{45\,B\,a^2\,b^8\,d^7\,e^4\,x^2}{2}+\frac{40\,B\,a^3\,b^7\,d^6\,e^5\,x^2}{3}+\frac{35\,B\,a^4\,b^6\,d^5\,e^6\,x^2}{4}+6\,B\,a^5\,b^5\,d^4\,e^7\,x^2+\frac{25\,B\,a^6\,b^4\,d^3\,e^8\,x^2}{6}+\frac{20\,B\,a^7\,b^3\,d^2\,e^9\,x^2}{7}+\frac{135\,B\,a^2\,b^8\,d^6\,e^5\,x^3}{2}+40\,B\,a^3\,b^7\,d^5\,e^6\,x^3+\frac{105\,B\,a^4\,b^6\,d^4\,e^7\,x^3}{4}+18\,B\,a^5\,b^5\,d^3\,e^8\,x^3+\frac{25\,B\,a^6\,b^4\,d^2\,e^9\,x^3}{2}+135\,B\,a^2\,b^8\,d^5\,e^6\,x^4+80\,B\,a^3\,b^7\,d^4\,e^7\,x^4+\frac{105\,B\,a^4\,b^6\,d^3\,e^8\,x^4}{2}+36\,B\,a^5\,b^5\,d^2\,e^9\,x^4+189\,B\,a^2\,b^8\,d^4\,e^7\,x^5+112\,B\,a^3\,b^7\,d^3\,e^8\,x^5+\frac{147\,B\,a^4\,b^6\,d^2\,e^9\,x^5}{2}+189\,B\,a^2\,b^8\,d^3\,e^8\,x^6+112\,B\,a^3\,b^7\,d^2\,e^9\,x^6+135\,B\,a^2\,b^8\,d^2\,e^9\,x^7+A\,a\,b^9\,d^8\,e^3\,x+A\,a^8\,b^2\,d\,e^{10}\,x+15\,A\,a\,b^9\,d\,e^{10}\,x^8+10\,B\,a\,b^9\,d^9\,e^2\,x+50\,B\,a\,b^9\,d\,e^{10}\,x^9-11\,B\,b^{10}\,d\,e^{10}\,x^{10}\,\ln\left(d+e\,x\right)}{e^{12}\,{\left(d+e\,x\right)}^{11}}","Not used",1,"-((A*a^10*e^11)/11 - (83711*B*b^10*d^11)/27720 + (A*b^10*d^10*e)/11 + (B*a^10*d*e^10)/110 - B*b^10*d^11*log(d + e*x) + (B*a^10*e^11*x)/10 + A*b^10*e^11*x^10 - (81191*B*b^10*d^10*e*x)/2520 + (A*a*b^9*d^9*e^2)/11 + (2*B*a^9*b*d^2*e^9)/99 + 5*A*a*b^9*e^11*x^9 + (10*B*a^9*b*e^11*x^2)/9 + 10*B*a*b^9*e^11*x^10 + A*b^10*d^9*e^2*x + 5*A*b^10*d*e^10*x^9 - 11*B*b^10*d*e^10*x^10 - B*b^10*e^11*x^11*log(d + e*x) + (A*a^2*b^8*d^8*e^3)/11 + (A*a^3*b^7*d^7*e^4)/11 + (A*a^4*b^6*d^6*e^5)/11 + (A*a^5*b^5*d^5*e^6)/11 + (A*a^6*b^4*d^4*e^7)/11 + (A*a^7*b^3*d^3*e^8)/11 + (A*a^8*b^2*d^2*e^9)/11 + (9*B*a^2*b^8*d^9*e^2)/22 + (8*B*a^3*b^7*d^8*e^3)/33 + (7*B*a^4*b^6*d^7*e^4)/44 + (6*B*a^5*b^5*d^6*e^5)/55 + (5*B*a^6*b^4*d^5*e^6)/66 + (4*B*a^7*b^3*d^4*e^7)/77 + (3*B*a^8*b^2*d^3*e^8)/88 + 5*A*a^8*b^2*e^11*x^2 + 15*A*a^7*b^3*e^11*x^3 + 30*A*a^6*b^4*e^11*x^4 + 42*A*a^5*b^5*e^11*x^5 + 42*A*a^4*b^6*e^11*x^6 + 30*A*a^3*b^7*e^11*x^7 + 15*A*a^2*b^8*e^11*x^8 + (45*B*a^8*b^2*e^11*x^3)/8 + (120*B*a^7*b^3*e^11*x^4)/7 + 35*B*a^6*b^4*e^11*x^5 + (252*B*a^5*b^5*e^11*x^6)/5 + (105*B*a^4*b^6*e^11*x^7)/2 + 40*B*a^3*b^7*e^11*x^8 + (45*B*a^2*b^8*e^11*x^9)/2 + 5*A*b^10*d^8*e^3*x^2 + 15*A*b^10*d^7*e^4*x^3 + 30*A*b^10*d^6*e^5*x^4 + 42*A*b^10*d^5*e^6*x^5 + 42*A*b^10*d^4*e^7*x^6 + 30*A*b^10*d^3*e^8*x^7 + 15*A*b^10*d^2*e^9*x^8 - (78419*B*b^10*d^9*e^2*x^2)/504 - (25113*B*b^10*d^8*e^3*x^3)/56 - (11979*B*b^10*d^7*e^4*x^4)/14 - (11319*B*b^10*d^6*e^5*x^5)/10 - (10549*B*b^10*d^5*e^6*x^6)/10 - (1375*B*b^10*d^4*e^7*x^7)/2 - (605*B*b^10*d^3*e^8*x^8)/2 - (165*B*b^10*d^2*e^9*x^9)/2 + (A*a^9*b*d*e^10)/11 + (10*B*a*b^9*d^10*e)/11 + A*a^9*b*e^11*x + A*a^2*b^8*d^7*e^4*x + A*a^3*b^7*d^6*e^5*x + A*a^4*b^6*d^5*e^6*x + A*a^5*b^5*d^4*e^7*x + A*a^6*b^4*d^3*e^8*x + A*a^7*b^3*d^2*e^9*x + 5*A*a*b^9*d^7*e^4*x^2 + 5*A*a^7*b^3*d*e^10*x^2 + 15*A*a*b^9*d^6*e^5*x^3 + 15*A*a^6*b^4*d*e^10*x^3 + 30*A*a*b^9*d^5*e^6*x^4 + 30*A*a^5*b^5*d*e^10*x^4 + 42*A*a*b^9*d^4*e^7*x^5 + 42*A*a^4*b^6*d*e^10*x^5 + 42*A*a*b^9*d^3*e^8*x^6 + 42*A*a^3*b^7*d*e^10*x^6 + 30*A*a*b^9*d^2*e^9*x^7 + 30*A*a^2*b^8*d*e^10*x^7 + (9*B*a^2*b^8*d^8*e^3*x)/2 + (8*B*a^3*b^7*d^7*e^4*x)/3 + (7*B*a^4*b^6*d^6*e^5*x)/4 + (6*B*a^5*b^5*d^5*e^6*x)/5 + (5*B*a^6*b^4*d^4*e^7*x)/6 + (4*B*a^7*b^3*d^3*e^8*x)/7 + (3*B*a^8*b^2*d^2*e^9*x)/8 + 50*B*a*b^9*d^8*e^3*x^2 + (15*B*a^8*b^2*d*e^10*x^2)/8 + 150*B*a*b^9*d^7*e^4*x^3 + (60*B*a^7*b^3*d*e^10*x^3)/7 + 300*B*a*b^9*d^6*e^5*x^4 + 25*B*a^6*b^4*d*e^10*x^4 + 420*B*a*b^9*d^5*e^6*x^5 + (252*B*a^5*b^5*d*e^10*x^5)/5 + 420*B*a*b^9*d^4*e^7*x^6 + (147*B*a^4*b^6*d*e^10*x^6)/2 + 300*B*a*b^9*d^3*e^8*x^7 + 80*B*a^3*b^7*d*e^10*x^7 + 150*B*a*b^9*d^2*e^9*x^8 + (135*B*a^2*b^8*d*e^10*x^8)/2 - 55*B*b^10*d^9*e^2*x^2*log(d + e*x) - 165*B*b^10*d^8*e^3*x^3*log(d + e*x) - 330*B*b^10*d^7*e^4*x^4*log(d + e*x) - 462*B*b^10*d^6*e^5*x^5*log(d + e*x) - 462*B*b^10*d^5*e^6*x^6*log(d + e*x) - 330*B*b^10*d^4*e^7*x^7*log(d + e*x) - 165*B*b^10*d^3*e^8*x^8*log(d + e*x) - 55*B*b^10*d^2*e^9*x^9*log(d + e*x) + (2*B*a^9*b*d*e^10*x)/9 - 11*B*b^10*d^10*e*x*log(d + e*x) + 5*A*a^2*b^8*d^6*e^5*x^2 + 5*A*a^3*b^7*d^5*e^6*x^2 + 5*A*a^4*b^6*d^4*e^7*x^2 + 5*A*a^5*b^5*d^3*e^8*x^2 + 5*A*a^6*b^4*d^2*e^9*x^2 + 15*A*a^2*b^8*d^5*e^6*x^3 + 15*A*a^3*b^7*d^4*e^7*x^3 + 15*A*a^4*b^6*d^3*e^8*x^3 + 15*A*a^5*b^5*d^2*e^9*x^3 + 30*A*a^2*b^8*d^4*e^7*x^4 + 30*A*a^3*b^7*d^3*e^8*x^4 + 30*A*a^4*b^6*d^2*e^9*x^4 + 42*A*a^2*b^8*d^3*e^8*x^5 + 42*A*a^3*b^7*d^2*e^9*x^5 + 42*A*a^2*b^8*d^2*e^9*x^6 + (45*B*a^2*b^8*d^7*e^4*x^2)/2 + (40*B*a^3*b^7*d^6*e^5*x^2)/3 + (35*B*a^4*b^6*d^5*e^6*x^2)/4 + 6*B*a^5*b^5*d^4*e^7*x^2 + (25*B*a^6*b^4*d^3*e^8*x^2)/6 + (20*B*a^7*b^3*d^2*e^9*x^2)/7 + (135*B*a^2*b^8*d^6*e^5*x^3)/2 + 40*B*a^3*b^7*d^5*e^6*x^3 + (105*B*a^4*b^6*d^4*e^7*x^3)/4 + 18*B*a^5*b^5*d^3*e^8*x^3 + (25*B*a^6*b^4*d^2*e^9*x^3)/2 + 135*B*a^2*b^8*d^5*e^6*x^4 + 80*B*a^3*b^7*d^4*e^7*x^4 + (105*B*a^4*b^6*d^3*e^8*x^4)/2 + 36*B*a^5*b^5*d^2*e^9*x^4 + 189*B*a^2*b^8*d^4*e^7*x^5 + 112*B*a^3*b^7*d^3*e^8*x^5 + (147*B*a^4*b^6*d^2*e^9*x^5)/2 + 189*B*a^2*b^8*d^3*e^8*x^6 + 112*B*a^3*b^7*d^2*e^9*x^6 + 135*B*a^2*b^8*d^2*e^9*x^7 + A*a*b^9*d^8*e^3*x + A*a^8*b^2*d*e^10*x + 15*A*a*b^9*d*e^10*x^8 + 10*B*a*b^9*d^9*e^2*x + 50*B*a*b^9*d*e^10*x^9 - 11*B*b^10*d*e^10*x^10*log(d + e*x))/(e^12*(d + e*x)^11)","B"
1101,1,2008,86,0.769073,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^13,x)","-\frac{\frac{B\,a^{10}\,d\,e^{10}+11\,A\,a^{10}\,e^{11}+2\,B\,a^9\,b\,d^2\,e^9+10\,A\,a^9\,b\,d\,e^{10}+3\,B\,a^8\,b^2\,d^3\,e^8+9\,A\,a^8\,b^2\,d^2\,e^9+4\,B\,a^7\,b^3\,d^4\,e^7+8\,A\,a^7\,b^3\,d^3\,e^8+5\,B\,a^6\,b^4\,d^5\,e^6+7\,A\,a^6\,b^4\,d^4\,e^7+6\,B\,a^5\,b^5\,d^6\,e^5+6\,A\,a^5\,b^5\,d^5\,e^6+7\,B\,a^4\,b^6\,d^7\,e^4+5\,A\,a^4\,b^6\,d^6\,e^5+8\,B\,a^3\,b^7\,d^8\,e^3+4\,A\,a^3\,b^7\,d^7\,e^4+9\,B\,a^2\,b^8\,d^9\,e^2+3\,A\,a^2\,b^8\,d^8\,e^3+10\,B\,a\,b^9\,d^{10}\,e+2\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+A\,b^{10}\,d^{10}\,e}{132\,e^{12}}+\frac{x\,\left(B\,a^{10}\,e^{10}+2\,B\,a^9\,b\,d\,e^9+10\,A\,a^9\,b\,e^{10}+3\,B\,a^8\,b^2\,d^2\,e^8+9\,A\,a^8\,b^2\,d\,e^9+4\,B\,a^7\,b^3\,d^3\,e^7+8\,A\,a^7\,b^3\,d^2\,e^8+5\,B\,a^6\,b^4\,d^4\,e^6+7\,A\,a^6\,b^4\,d^3\,e^7+6\,B\,a^5\,b^5\,d^5\,e^5+6\,A\,a^5\,b^5\,d^4\,e^6+7\,B\,a^4\,b^6\,d^6\,e^4+5\,A\,a^4\,b^6\,d^5\,e^5+8\,B\,a^3\,b^7\,d^7\,e^3+4\,A\,a^3\,b^7\,d^6\,e^4+9\,B\,a^2\,b^8\,d^8\,e^2+3\,A\,a^2\,b^8\,d^7\,e^3+10\,B\,a\,b^9\,d^9\,e+2\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+A\,b^{10}\,d^9\,e\right)}{11\,e^{11}}+\frac{15\,b^7\,x^8\,\left(8\,B\,a^3\,e^3+9\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+10\,B\,a\,b^2\,d^2\,e+2\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{4\,e^4}+\frac{6\,b^4\,x^5\,\left(5\,B\,a^6\,e^6+6\,B\,a^5\,b\,d\,e^5+6\,A\,a^5\,b\,e^6+7\,B\,a^4\,b^2\,d^2\,e^4+5\,A\,a^4\,b^2\,d\,e^5+8\,B\,a^3\,b^3\,d^3\,e^3+4\,A\,a^3\,b^3\,d^2\,e^4+9\,B\,a^2\,b^4\,d^4\,e^2+3\,A\,a^2\,b^4\,d^3\,e^3+10\,B\,a\,b^5\,d^5\,e+2\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+A\,b^6\,d^5\,e\right)}{e^7}+\frac{b^9\,x^{10}\,\left(A\,b\,e+10\,B\,a\,e+11\,B\,b\,d\right)}{2\,e^2}+\frac{6\,b^6\,x^7\,\left(7\,B\,a^4\,e^4+8\,B\,a^3\,b\,d\,e^3+4\,A\,a^3\,b\,e^4+9\,B\,a^2\,b^2\,d^2\,e^2+3\,A\,a^2\,b^2\,d\,e^3+10\,B\,a\,b^3\,d^3\,e+2\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+A\,b^4\,d^3\,e\right)}{e^5}+\frac{15\,b^3\,x^4\,\left(4\,B\,a^7\,e^7+5\,B\,a^6\,b\,d\,e^6+7\,A\,a^6\,b\,e^7+6\,B\,a^5\,b^2\,d^2\,e^5+6\,A\,a^5\,b^2\,d\,e^6+7\,B\,a^4\,b^3\,d^3\,e^4+5\,A\,a^4\,b^3\,d^2\,e^5+8\,B\,a^3\,b^4\,d^4\,e^3+4\,A\,a^3\,b^4\,d^3\,e^4+9\,B\,a^2\,b^5\,d^5\,e^2+3\,A\,a^2\,b^5\,d^4\,e^3+10\,B\,a\,b^6\,d^6\,e+2\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+A\,b^7\,d^6\,e\right)}{4\,e^8}+\frac{b\,x^2\,\left(2\,B\,a^9\,e^9+3\,B\,a^8\,b\,d\,e^8+9\,A\,a^8\,b\,e^9+4\,B\,a^7\,b^2\,d^2\,e^7+8\,A\,a^7\,b^2\,d\,e^8+5\,B\,a^6\,b^3\,d^3\,e^6+7\,A\,a^6\,b^3\,d^2\,e^7+6\,B\,a^5\,b^4\,d^4\,e^5+6\,A\,a^5\,b^4\,d^3\,e^6+7\,B\,a^4\,b^5\,d^5\,e^4+5\,A\,a^4\,b^5\,d^4\,e^5+8\,B\,a^3\,b^6\,d^6\,e^3+4\,A\,a^3\,b^6\,d^5\,e^4+9\,B\,a^2\,b^7\,d^7\,e^2+3\,A\,a^2\,b^7\,d^6\,e^3+10\,B\,a\,b^8\,d^8\,e+2\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+A\,b^9\,d^8\,e\right)}{2\,e^{10}}+\frac{5\,b^8\,x^9\,\left(9\,B\,a^2\,e^2+10\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{3\,e^3}+\frac{7\,b^5\,x^6\,\left(6\,B\,a^5\,e^5+7\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+8\,B\,a^3\,b^2\,d^2\,e^3+4\,A\,a^3\,b^2\,d\,e^4+9\,B\,a^2\,b^3\,d^3\,e^2+3\,A\,a^2\,b^3\,d^2\,e^3+10\,B\,a\,b^4\,d^4\,e+2\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+A\,b^5\,d^4\,e\right)}{e^6}+\frac{5\,b^2\,x^3\,\left(3\,B\,a^8\,e^8+4\,B\,a^7\,b\,d\,e^7+8\,A\,a^7\,b\,e^8+5\,B\,a^6\,b^2\,d^2\,e^6+7\,A\,a^6\,b^2\,d\,e^7+6\,B\,a^5\,b^3\,d^3\,e^5+6\,A\,a^5\,b^3\,d^2\,e^6+7\,B\,a^4\,b^4\,d^4\,e^4+5\,A\,a^4\,b^4\,d^3\,e^5+8\,B\,a^3\,b^5\,d^5\,e^3+4\,A\,a^3\,b^5\,d^4\,e^4+9\,B\,a^2\,b^6\,d^6\,e^2+3\,A\,a^2\,b^6\,d^5\,e^3+10\,B\,a\,b^7\,d^7\,e+2\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+A\,b^8\,d^7\,e\right)}{3\,e^9}+\frac{B\,b^{10}\,x^{11}}{e}}{d^{12}+12\,d^{11}\,e\,x+66\,d^{10}\,e^2\,x^2+220\,d^9\,e^3\,x^3+495\,d^8\,e^4\,x^4+792\,d^7\,e^5\,x^5+924\,d^6\,e^6\,x^6+792\,d^5\,e^7\,x^7+495\,d^4\,e^8\,x^8+220\,d^3\,e^9\,x^9+66\,d^2\,e^{10}\,x^{10}+12\,d\,e^{11}\,x^{11}+e^{12}\,x^{12}}","Not used",1,"-((11*A*a^10*e^11 + 11*B*b^10*d^11 + A*b^10*d^10*e + B*a^10*d*e^10 + 2*A*a*b^9*d^9*e^2 + 2*B*a^9*b*d^2*e^9 + 3*A*a^2*b^8*d^8*e^3 + 4*A*a^3*b^7*d^7*e^4 + 5*A*a^4*b^6*d^6*e^5 + 6*A*a^5*b^5*d^5*e^6 + 7*A*a^6*b^4*d^4*e^7 + 8*A*a^7*b^3*d^3*e^8 + 9*A*a^8*b^2*d^2*e^9 + 9*B*a^2*b^8*d^9*e^2 + 8*B*a^3*b^7*d^8*e^3 + 7*B*a^4*b^6*d^7*e^4 + 6*B*a^5*b^5*d^6*e^5 + 5*B*a^6*b^4*d^5*e^6 + 4*B*a^7*b^3*d^4*e^7 + 3*B*a^8*b^2*d^3*e^8 + 10*A*a^9*b*d*e^10 + 10*B*a*b^9*d^10*e)/(132*e^12) + (x*(B*a^10*e^10 + 11*B*b^10*d^10 + 10*A*a^9*b*e^10 + A*b^10*d^9*e + 2*A*a*b^9*d^8*e^2 + 9*A*a^8*b^2*d*e^9 + 3*A*a^2*b^8*d^7*e^3 + 4*A*a^3*b^7*d^6*e^4 + 5*A*a^4*b^6*d^5*e^5 + 6*A*a^5*b^5*d^4*e^6 + 7*A*a^6*b^4*d^3*e^7 + 8*A*a^7*b^3*d^2*e^8 + 9*B*a^2*b^8*d^8*e^2 + 8*B*a^3*b^7*d^7*e^3 + 7*B*a^4*b^6*d^6*e^4 + 6*B*a^5*b^5*d^5*e^5 + 5*B*a^6*b^4*d^4*e^6 + 4*B*a^7*b^3*d^3*e^7 + 3*B*a^8*b^2*d^2*e^8 + 10*B*a*b^9*d^9*e + 2*B*a^9*b*d*e^9))/(11*e^11) + (15*b^7*x^8*(8*B*a^3*e^3 + 11*B*b^3*d^3 + 3*A*a^2*b*e^3 + A*b^3*d^2*e + 2*A*a*b^2*d*e^2 + 10*B*a*b^2*d^2*e + 9*B*a^2*b*d*e^2))/(4*e^4) + (6*b^4*x^5*(5*B*a^6*e^6 + 11*B*b^6*d^6 + 6*A*a^5*b*e^6 + A*b^6*d^5*e + 2*A*a*b^5*d^4*e^2 + 5*A*a^4*b^2*d*e^5 + 3*A*a^2*b^4*d^3*e^3 + 4*A*a^3*b^3*d^2*e^4 + 9*B*a^2*b^4*d^4*e^2 + 8*B*a^3*b^3*d^3*e^3 + 7*B*a^4*b^2*d^2*e^4 + 10*B*a*b^5*d^5*e + 6*B*a^5*b*d*e^5))/e^7 + (b^9*x^10*(A*b*e + 10*B*a*e + 11*B*b*d))/(2*e^2) + (6*b^6*x^7*(7*B*a^4*e^4 + 11*B*b^4*d^4 + 4*A*a^3*b*e^4 + A*b^4*d^3*e + 2*A*a*b^3*d^2*e^2 + 3*A*a^2*b^2*d*e^3 + 9*B*a^2*b^2*d^2*e^2 + 10*B*a*b^3*d^3*e + 8*B*a^3*b*d*e^3))/e^5 + (15*b^3*x^4*(4*B*a^7*e^7 + 11*B*b^7*d^7 + 7*A*a^6*b*e^7 + A*b^7*d^6*e + 2*A*a*b^6*d^5*e^2 + 6*A*a^5*b^2*d*e^6 + 3*A*a^2*b^5*d^4*e^3 + 4*A*a^3*b^4*d^3*e^4 + 5*A*a^4*b^3*d^2*e^5 + 9*B*a^2*b^5*d^5*e^2 + 8*B*a^3*b^4*d^4*e^3 + 7*B*a^4*b^3*d^3*e^4 + 6*B*a^5*b^2*d^2*e^5 + 10*B*a*b^6*d^6*e + 5*B*a^6*b*d*e^6))/(4*e^8) + (b*x^2*(2*B*a^9*e^9 + 11*B*b^9*d^9 + 9*A*a^8*b*e^9 + A*b^9*d^8*e + 2*A*a*b^8*d^7*e^2 + 8*A*a^7*b^2*d*e^8 + 3*A*a^2*b^7*d^6*e^3 + 4*A*a^3*b^6*d^5*e^4 + 5*A*a^4*b^5*d^4*e^5 + 6*A*a^5*b^4*d^3*e^6 + 7*A*a^6*b^3*d^2*e^7 + 9*B*a^2*b^7*d^7*e^2 + 8*B*a^3*b^6*d^6*e^3 + 7*B*a^4*b^5*d^5*e^4 + 6*B*a^5*b^4*d^4*e^5 + 5*B*a^6*b^3*d^3*e^6 + 4*B*a^7*b^2*d^2*e^7 + 10*B*a*b^8*d^8*e + 3*B*a^8*b*d*e^8))/(2*e^10) + (5*b^8*x^9*(9*B*a^2*e^2 + 11*B*b^2*d^2 + 2*A*a*b*e^2 + A*b^2*d*e + 10*B*a*b*d*e))/(3*e^3) + (7*b^5*x^6*(6*B*a^5*e^5 + 11*B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e + 2*A*a*b^4*d^3*e^2 + 4*A*a^3*b^2*d*e^4 + 3*A*a^2*b^3*d^2*e^3 + 9*B*a^2*b^3*d^3*e^2 + 8*B*a^3*b^2*d^2*e^3 + 10*B*a*b^4*d^4*e + 7*B*a^4*b*d*e^4))/e^6 + (5*b^2*x^3*(3*B*a^8*e^8 + 11*B*b^8*d^8 + 8*A*a^7*b*e^8 + A*b^8*d^7*e + 2*A*a*b^7*d^6*e^2 + 7*A*a^6*b^2*d*e^7 + 3*A*a^2*b^6*d^5*e^3 + 4*A*a^3*b^5*d^4*e^4 + 5*A*a^4*b^4*d^3*e^5 + 6*A*a^5*b^3*d^2*e^6 + 9*B*a^2*b^6*d^6*e^2 + 8*B*a^3*b^5*d^5*e^3 + 7*B*a^4*b^4*d^4*e^4 + 6*B*a^5*b^3*d^3*e^5 + 5*B*a^6*b^2*d^2*e^6 + 10*B*a*b^7*d^7*e + 4*B*a^7*b*d*e^7))/(3*e^9) + (B*b^10*x^11)/e)/(d^12 + e^12*x^12 + 12*d*e^11*x^11 + 66*d^10*e^2*x^2 + 220*d^9*e^3*x^3 + 495*d^8*e^4*x^4 + 792*d^7*e^5*x^5 + 924*d^6*e^6*x^6 + 792*d^5*e^7*x^7 + 495*d^4*e^8*x^8 + 220*d^3*e^9*x^9 + 66*d^2*e^10*x^10 + 12*d^11*e*x)","B"
1102,1,2031,135,2.028227,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^14,x)","-\frac{\frac{11\,B\,a^{10}\,d\,e^{10}+132\,A\,a^{10}\,e^{11}+20\,B\,a^9\,b\,d^2\,e^9+110\,A\,a^9\,b\,d\,e^{10}+27\,B\,a^8\,b^2\,d^3\,e^8+90\,A\,a^8\,b^2\,d^2\,e^9+32\,B\,a^7\,b^3\,d^4\,e^7+72\,A\,a^7\,b^3\,d^3\,e^8+35\,B\,a^6\,b^4\,d^5\,e^6+56\,A\,a^6\,b^4\,d^4\,e^7+36\,B\,a^5\,b^5\,d^6\,e^5+42\,A\,a^5\,b^5\,d^5\,e^6+35\,B\,a^4\,b^6\,d^7\,e^4+30\,A\,a^4\,b^6\,d^6\,e^5+32\,B\,a^3\,b^7\,d^8\,e^3+20\,A\,a^3\,b^7\,d^7\,e^4+27\,B\,a^2\,b^8\,d^9\,e^2+12\,A\,a^2\,b^8\,d^8\,e^3+20\,B\,a\,b^9\,d^{10}\,e+6\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+2\,A\,b^{10}\,d^{10}\,e}{1716\,e^{12}}+\frac{x\,\left(11\,B\,a^{10}\,e^{10}+20\,B\,a^9\,b\,d\,e^9+110\,A\,a^9\,b\,e^{10}+27\,B\,a^8\,b^2\,d^2\,e^8+90\,A\,a^8\,b^2\,d\,e^9+32\,B\,a^7\,b^3\,d^3\,e^7+72\,A\,a^7\,b^3\,d^2\,e^8+35\,B\,a^6\,b^4\,d^4\,e^6+56\,A\,a^6\,b^4\,d^3\,e^7+36\,B\,a^5\,b^5\,d^5\,e^5+42\,A\,a^5\,b^5\,d^4\,e^6+35\,B\,a^4\,b^6\,d^6\,e^4+30\,A\,a^4\,b^6\,d^5\,e^5+32\,B\,a^3\,b^7\,d^7\,e^3+20\,A\,a^3\,b^7\,d^6\,e^4+27\,B\,a^2\,b^8\,d^8\,e^2+12\,A\,a^2\,b^8\,d^7\,e^3+20\,B\,a\,b^9\,d^9\,e+6\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+2\,A\,b^{10}\,d^9\,e\right)}{132\,e^{11}}+\frac{3\,b^7\,x^8\,\left(32\,B\,a^3\,e^3+27\,B\,a^2\,b\,d\,e^2+12\,A\,a^2\,b\,e^3+20\,B\,a\,b^2\,d^2\,e+6\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+2\,A\,b^3\,d^2\,e\right)}{4\,e^4}+\frac{3\,b^4\,x^5\,\left(35\,B\,a^6\,e^6+36\,B\,a^5\,b\,d\,e^5+42\,A\,a^5\,b\,e^6+35\,B\,a^4\,b^2\,d^2\,e^4+30\,A\,a^4\,b^2\,d\,e^5+32\,B\,a^3\,b^3\,d^3\,e^3+20\,A\,a^3\,b^3\,d^2\,e^4+27\,B\,a^2\,b^4\,d^4\,e^2+12\,A\,a^2\,b^4\,d^3\,e^3+20\,B\,a\,b^5\,d^5\,e+6\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+2\,A\,b^6\,d^5\,e\right)}{4\,e^7}+\frac{b^9\,x^{10}\,\left(2\,A\,b\,e+20\,B\,a\,e+11\,B\,b\,d\right)}{6\,e^2}+\frac{b^6\,x^7\,\left(35\,B\,a^4\,e^4+32\,B\,a^3\,b\,d\,e^3+20\,A\,a^3\,b\,e^4+27\,B\,a^2\,b^2\,d^2\,e^2+12\,A\,a^2\,b^2\,d\,e^3+20\,B\,a\,b^3\,d^3\,e+6\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+2\,A\,b^4\,d^3\,e\right)}{e^5}+\frac{5\,b^3\,x^4\,\left(32\,B\,a^7\,e^7+35\,B\,a^6\,b\,d\,e^6+56\,A\,a^6\,b\,e^7+36\,B\,a^5\,b^2\,d^2\,e^5+42\,A\,a^5\,b^2\,d\,e^6+35\,B\,a^4\,b^3\,d^3\,e^4+30\,A\,a^4\,b^3\,d^2\,e^5+32\,B\,a^3\,b^4\,d^4\,e^3+20\,A\,a^3\,b^4\,d^3\,e^4+27\,B\,a^2\,b^5\,d^5\,e^2+12\,A\,a^2\,b^5\,d^4\,e^3+20\,B\,a\,b^6\,d^6\,e+6\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+2\,A\,b^7\,d^6\,e\right)}{12\,e^8}+\frac{b\,x^2\,\left(20\,B\,a^9\,e^9+27\,B\,a^8\,b\,d\,e^8+90\,A\,a^8\,b\,e^9+32\,B\,a^7\,b^2\,d^2\,e^7+72\,A\,a^7\,b^2\,d\,e^8+35\,B\,a^6\,b^3\,d^3\,e^6+56\,A\,a^6\,b^3\,d^2\,e^7+36\,B\,a^5\,b^4\,d^4\,e^5+42\,A\,a^5\,b^4\,d^3\,e^6+35\,B\,a^4\,b^5\,d^5\,e^4+30\,A\,a^4\,b^5\,d^4\,e^5+32\,B\,a^3\,b^6\,d^6\,e^3+20\,A\,a^3\,b^6\,d^5\,e^4+27\,B\,a^2\,b^7\,d^7\,e^2+12\,A\,a^2\,b^7\,d^6\,e^3+20\,B\,a\,b^8\,d^8\,e+6\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+2\,A\,b^9\,d^8\,e\right)}{22\,e^{10}}+\frac{5\,b^8\,x^9\,\left(27\,B\,a^2\,e^2+20\,B\,a\,b\,d\,e+6\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{12\,e^3}+\frac{b^5\,x^6\,\left(36\,B\,a^5\,e^5+35\,B\,a^4\,b\,d\,e^4+30\,A\,a^4\,b\,e^5+32\,B\,a^3\,b^2\,d^2\,e^3+20\,A\,a^3\,b^2\,d\,e^4+27\,B\,a^2\,b^3\,d^3\,e^2+12\,A\,a^2\,b^3\,d^2\,e^3+20\,B\,a\,b^4\,d^4\,e+6\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+2\,A\,b^5\,d^4\,e\right)}{e^6}+\frac{b^2\,x^3\,\left(27\,B\,a^8\,e^8+32\,B\,a^7\,b\,d\,e^7+72\,A\,a^7\,b\,e^8+35\,B\,a^6\,b^2\,d^2\,e^6+56\,A\,a^6\,b^2\,d\,e^7+36\,B\,a^5\,b^3\,d^3\,e^5+42\,A\,a^5\,b^3\,d^2\,e^6+35\,B\,a^4\,b^4\,d^4\,e^4+30\,A\,a^4\,b^4\,d^3\,e^5+32\,B\,a^3\,b^5\,d^5\,e^3+20\,A\,a^3\,b^5\,d^4\,e^4+27\,B\,a^2\,b^6\,d^6\,e^2+12\,A\,a^2\,b^6\,d^5\,e^3+20\,B\,a\,b^7\,d^7\,e+6\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+2\,A\,b^8\,d^7\,e\right)}{6\,e^9}+\frac{B\,b^{10}\,x^{11}}{2\,e}}{d^{13}+13\,d^{12}\,e\,x+78\,d^{11}\,e^2\,x^2+286\,d^{10}\,e^3\,x^3+715\,d^9\,e^4\,x^4+1287\,d^8\,e^5\,x^5+1716\,d^7\,e^6\,x^6+1716\,d^6\,e^7\,x^7+1287\,d^5\,e^8\,x^8+715\,d^4\,e^9\,x^9+286\,d^3\,e^{10}\,x^{10}+78\,d^2\,e^{11}\,x^{11}+13\,d\,e^{12}\,x^{12}+e^{13}\,x^{13}}","Not used",1,"-((132*A*a^10*e^11 + 11*B*b^10*d^11 + 2*A*b^10*d^10*e + 11*B*a^10*d*e^10 + 6*A*a*b^9*d^9*e^2 + 20*B*a^9*b*d^2*e^9 + 12*A*a^2*b^8*d^8*e^3 + 20*A*a^3*b^7*d^7*e^4 + 30*A*a^4*b^6*d^6*e^5 + 42*A*a^5*b^5*d^5*e^6 + 56*A*a^6*b^4*d^4*e^7 + 72*A*a^7*b^3*d^3*e^8 + 90*A*a^8*b^2*d^2*e^9 + 27*B*a^2*b^8*d^9*e^2 + 32*B*a^3*b^7*d^8*e^3 + 35*B*a^4*b^6*d^7*e^4 + 36*B*a^5*b^5*d^6*e^5 + 35*B*a^6*b^4*d^5*e^6 + 32*B*a^7*b^3*d^4*e^7 + 27*B*a^8*b^2*d^3*e^8 + 110*A*a^9*b*d*e^10 + 20*B*a*b^9*d^10*e)/(1716*e^12) + (x*(11*B*a^10*e^10 + 11*B*b^10*d^10 + 110*A*a^9*b*e^10 + 2*A*b^10*d^9*e + 6*A*a*b^9*d^8*e^2 + 90*A*a^8*b^2*d*e^9 + 12*A*a^2*b^8*d^7*e^3 + 20*A*a^3*b^7*d^6*e^4 + 30*A*a^4*b^6*d^5*e^5 + 42*A*a^5*b^5*d^4*e^6 + 56*A*a^6*b^4*d^3*e^7 + 72*A*a^7*b^3*d^2*e^8 + 27*B*a^2*b^8*d^8*e^2 + 32*B*a^3*b^7*d^7*e^3 + 35*B*a^4*b^6*d^6*e^4 + 36*B*a^5*b^5*d^5*e^5 + 35*B*a^6*b^4*d^4*e^6 + 32*B*a^7*b^3*d^3*e^7 + 27*B*a^8*b^2*d^2*e^8 + 20*B*a*b^9*d^9*e + 20*B*a^9*b*d*e^9))/(132*e^11) + (3*b^7*x^8*(32*B*a^3*e^3 + 11*B*b^3*d^3 + 12*A*a^2*b*e^3 + 2*A*b^3*d^2*e + 6*A*a*b^2*d*e^2 + 20*B*a*b^2*d^2*e + 27*B*a^2*b*d*e^2))/(4*e^4) + (3*b^4*x^5*(35*B*a^6*e^6 + 11*B*b^6*d^6 + 42*A*a^5*b*e^6 + 2*A*b^6*d^5*e + 6*A*a*b^5*d^4*e^2 + 30*A*a^4*b^2*d*e^5 + 12*A*a^2*b^4*d^3*e^3 + 20*A*a^3*b^3*d^2*e^4 + 27*B*a^2*b^4*d^4*e^2 + 32*B*a^3*b^3*d^3*e^3 + 35*B*a^4*b^2*d^2*e^4 + 20*B*a*b^5*d^5*e + 36*B*a^5*b*d*e^5))/(4*e^7) + (b^9*x^10*(2*A*b*e + 20*B*a*e + 11*B*b*d))/(6*e^2) + (b^6*x^7*(35*B*a^4*e^4 + 11*B*b^4*d^4 + 20*A*a^3*b*e^4 + 2*A*b^4*d^3*e + 6*A*a*b^3*d^2*e^2 + 12*A*a^2*b^2*d*e^3 + 27*B*a^2*b^2*d^2*e^2 + 20*B*a*b^3*d^3*e + 32*B*a^3*b*d*e^3))/e^5 + (5*b^3*x^4*(32*B*a^7*e^7 + 11*B*b^7*d^7 + 56*A*a^6*b*e^7 + 2*A*b^7*d^6*e + 6*A*a*b^6*d^5*e^2 + 42*A*a^5*b^2*d*e^6 + 12*A*a^2*b^5*d^4*e^3 + 20*A*a^3*b^4*d^3*e^4 + 30*A*a^4*b^3*d^2*e^5 + 27*B*a^2*b^5*d^5*e^2 + 32*B*a^3*b^4*d^4*e^3 + 35*B*a^4*b^3*d^3*e^4 + 36*B*a^5*b^2*d^2*e^5 + 20*B*a*b^6*d^6*e + 35*B*a^6*b*d*e^6))/(12*e^8) + (b*x^2*(20*B*a^9*e^9 + 11*B*b^9*d^9 + 90*A*a^8*b*e^9 + 2*A*b^9*d^8*e + 6*A*a*b^8*d^7*e^2 + 72*A*a^7*b^2*d*e^8 + 12*A*a^2*b^7*d^6*e^3 + 20*A*a^3*b^6*d^5*e^4 + 30*A*a^4*b^5*d^4*e^5 + 42*A*a^5*b^4*d^3*e^6 + 56*A*a^6*b^3*d^2*e^7 + 27*B*a^2*b^7*d^7*e^2 + 32*B*a^3*b^6*d^6*e^3 + 35*B*a^4*b^5*d^5*e^4 + 36*B*a^5*b^4*d^4*e^5 + 35*B*a^6*b^3*d^3*e^6 + 32*B*a^7*b^2*d^2*e^7 + 20*B*a*b^8*d^8*e + 27*B*a^8*b*d*e^8))/(22*e^10) + (5*b^8*x^9*(27*B*a^2*e^2 + 11*B*b^2*d^2 + 6*A*a*b*e^2 + 2*A*b^2*d*e + 20*B*a*b*d*e))/(12*e^3) + (b^5*x^6*(36*B*a^5*e^5 + 11*B*b^5*d^5 + 30*A*a^4*b*e^5 + 2*A*b^5*d^4*e + 6*A*a*b^4*d^3*e^2 + 20*A*a^3*b^2*d*e^4 + 12*A*a^2*b^3*d^2*e^3 + 27*B*a^2*b^3*d^3*e^2 + 32*B*a^3*b^2*d^2*e^3 + 20*B*a*b^4*d^4*e + 35*B*a^4*b*d*e^4))/e^6 + (b^2*x^3*(27*B*a^8*e^8 + 11*B*b^8*d^8 + 72*A*a^7*b*e^8 + 2*A*b^8*d^7*e + 6*A*a*b^7*d^6*e^2 + 56*A*a^6*b^2*d*e^7 + 12*A*a^2*b^6*d^5*e^3 + 20*A*a^3*b^5*d^4*e^4 + 30*A*a^4*b^4*d^3*e^5 + 42*A*a^5*b^3*d^2*e^6 + 27*B*a^2*b^6*d^6*e^2 + 32*B*a^3*b^5*d^5*e^3 + 35*B*a^4*b^4*d^4*e^4 + 36*B*a^5*b^3*d^3*e^5 + 35*B*a^6*b^2*d^2*e^6 + 20*B*a*b^7*d^7*e + 32*B*a^7*b*d*e^7))/(6*e^9) + (B*b^10*x^11)/(2*e))/(d^13 + e^13*x^13 + 13*d*e^12*x^12 + 78*d^11*e^2*x^2 + 286*d^10*e^3*x^3 + 715*d^9*e^4*x^4 + 1287*d^8*e^5*x^5 + 1716*d^7*e^6*x^6 + 1716*d^6*e^7*x^7 + 1287*d^5*e^8*x^8 + 715*d^4*e^9*x^9 + 286*d^3*e^10*x^10 + 78*d^2*e^11*x^11 + 13*d^12*e*x)","B"
1103,1,2044,185,2.460606,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^15,x)","-\frac{\frac{66\,B\,a^{10}\,d\,e^{10}+858\,A\,a^{10}\,e^{11}+110\,B\,a^9\,b\,d^2\,e^9+660\,A\,a^9\,b\,d\,e^{10}+135\,B\,a^8\,b^2\,d^3\,e^8+495\,A\,a^8\,b^2\,d^2\,e^9+144\,B\,a^7\,b^3\,d^4\,e^7+360\,A\,a^7\,b^3\,d^3\,e^8+140\,B\,a^6\,b^4\,d^5\,e^6+252\,A\,a^6\,b^4\,d^4\,e^7+126\,B\,a^5\,b^5\,d^6\,e^5+168\,A\,a^5\,b^5\,d^5\,e^6+105\,B\,a^4\,b^6\,d^7\,e^4+105\,A\,a^4\,b^6\,d^6\,e^5+80\,B\,a^3\,b^7\,d^8\,e^3+60\,A\,a^3\,b^7\,d^7\,e^4+54\,B\,a^2\,b^8\,d^9\,e^2+30\,A\,a^2\,b^8\,d^8\,e^3+30\,B\,a\,b^9\,d^{10}\,e+12\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+3\,A\,b^{10}\,d^{10}\,e}{12012\,e^{12}}+\frac{x\,\left(66\,B\,a^{10}\,e^{10}+110\,B\,a^9\,b\,d\,e^9+660\,A\,a^9\,b\,e^{10}+135\,B\,a^8\,b^2\,d^2\,e^8+495\,A\,a^8\,b^2\,d\,e^9+144\,B\,a^7\,b^3\,d^3\,e^7+360\,A\,a^7\,b^3\,d^2\,e^8+140\,B\,a^6\,b^4\,d^4\,e^6+252\,A\,a^6\,b^4\,d^3\,e^7+126\,B\,a^5\,b^5\,d^5\,e^5+168\,A\,a^5\,b^5\,d^4\,e^6+105\,B\,a^4\,b^6\,d^6\,e^4+105\,A\,a^4\,b^6\,d^5\,e^5+80\,B\,a^3\,b^7\,d^7\,e^3+60\,A\,a^3\,b^7\,d^6\,e^4+54\,B\,a^2\,b^8\,d^8\,e^2+30\,A\,a^2\,b^8\,d^7\,e^3+30\,B\,a\,b^9\,d^9\,e+12\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+3\,A\,b^{10}\,d^9\,e\right)}{858\,e^{11}}+\frac{b^7\,x^8\,\left(80\,B\,a^3\,e^3+54\,B\,a^2\,b\,d\,e^2+30\,A\,a^2\,b\,e^3+30\,B\,a\,b^2\,d^2\,e+12\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{4\,e^4}+\frac{b^4\,x^5\,\left(140\,B\,a^6\,e^6+126\,B\,a^5\,b\,d\,e^5+168\,A\,a^5\,b\,e^6+105\,B\,a^4\,b^2\,d^2\,e^4+105\,A\,a^4\,b^2\,d\,e^5+80\,B\,a^3\,b^3\,d^3\,e^3+60\,A\,a^3\,b^3\,d^2\,e^4+54\,B\,a^2\,b^4\,d^4\,e^2+30\,A\,a^2\,b^4\,d^3\,e^3+30\,B\,a\,b^5\,d^5\,e+12\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+3\,A\,b^6\,d^5\,e\right)}{6\,e^7}+\frac{b^9\,x^{10}\,\left(3\,A\,b\,e+30\,B\,a\,e+11\,B\,b\,d\right)}{12\,e^2}+\frac{2\,b^6\,x^7\,\left(105\,B\,a^4\,e^4+80\,B\,a^3\,b\,d\,e^3+60\,A\,a^3\,b\,e^4+54\,B\,a^2\,b^2\,d^2\,e^2+30\,A\,a^2\,b^2\,d\,e^3+30\,B\,a\,b^3\,d^3\,e+12\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+3\,A\,b^4\,d^3\,e\right)}{7\,e^5}+\frac{b^3\,x^4\,\left(144\,B\,a^7\,e^7+140\,B\,a^6\,b\,d\,e^6+252\,A\,a^6\,b\,e^7+126\,B\,a^5\,b^2\,d^2\,e^5+168\,A\,a^5\,b^2\,d\,e^6+105\,B\,a^4\,b^3\,d^3\,e^4+105\,A\,a^4\,b^3\,d^2\,e^5+80\,B\,a^3\,b^4\,d^4\,e^3+60\,A\,a^3\,b^4\,d^3\,e^4+54\,B\,a^2\,b^5\,d^5\,e^2+30\,A\,a^2\,b^5\,d^4\,e^3+30\,B\,a\,b^6\,d^6\,e+12\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+3\,A\,b^7\,d^6\,e\right)}{12\,e^8}+\frac{b\,x^2\,\left(110\,B\,a^9\,e^9+135\,B\,a^8\,b\,d\,e^8+495\,A\,a^8\,b\,e^9+144\,B\,a^7\,b^2\,d^2\,e^7+360\,A\,a^7\,b^2\,d\,e^8+140\,B\,a^6\,b^3\,d^3\,e^6+252\,A\,a^6\,b^3\,d^2\,e^7+126\,B\,a^5\,b^4\,d^4\,e^5+168\,A\,a^5\,b^4\,d^3\,e^6+105\,B\,a^4\,b^5\,d^5\,e^4+105\,A\,a^4\,b^5\,d^4\,e^5+80\,B\,a^3\,b^6\,d^6\,e^3+60\,A\,a^3\,b^6\,d^5\,e^4+54\,B\,a^2\,b^7\,d^7\,e^2+30\,A\,a^2\,b^7\,d^6\,e^3+30\,B\,a\,b^8\,d^8\,e+12\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+3\,A\,b^9\,d^8\,e\right)}{132\,e^{10}}+\frac{b^8\,x^9\,\left(54\,B\,a^2\,e^2+30\,B\,a\,b\,d\,e+12\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+3\,A\,b^2\,d\,e\right)}{6\,e^3}+\frac{b^5\,x^6\,\left(126\,B\,a^5\,e^5+105\,B\,a^4\,b\,d\,e^4+105\,A\,a^4\,b\,e^5+80\,B\,a^3\,b^2\,d^2\,e^3+60\,A\,a^3\,b^2\,d\,e^4+54\,B\,a^2\,b^3\,d^3\,e^2+30\,A\,a^2\,b^3\,d^2\,e^3+30\,B\,a\,b^4\,d^4\,e+12\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+3\,A\,b^5\,d^4\,e\right)}{4\,e^6}+\frac{b^2\,x^3\,\left(135\,B\,a^8\,e^8+144\,B\,a^7\,b\,d\,e^7+360\,A\,a^7\,b\,e^8+140\,B\,a^6\,b^2\,d^2\,e^6+252\,A\,a^6\,b^2\,d\,e^7+126\,B\,a^5\,b^3\,d^3\,e^5+168\,A\,a^5\,b^3\,d^2\,e^6+105\,B\,a^4\,b^4\,d^4\,e^4+105\,A\,a^4\,b^4\,d^3\,e^5+80\,B\,a^3\,b^5\,d^5\,e^3+60\,A\,a^3\,b^5\,d^4\,e^4+54\,B\,a^2\,b^6\,d^6\,e^2+30\,A\,a^2\,b^6\,d^5\,e^3+30\,B\,a\,b^7\,d^7\,e+12\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+3\,A\,b^8\,d^7\,e\right)}{33\,e^9}+\frac{B\,b^{10}\,x^{11}}{3\,e}}{d^{14}+14\,d^{13}\,e\,x+91\,d^{12}\,e^2\,x^2+364\,d^{11}\,e^3\,x^3+1001\,d^{10}\,e^4\,x^4+2002\,d^9\,e^5\,x^5+3003\,d^8\,e^6\,x^6+3432\,d^7\,e^7\,x^7+3003\,d^6\,e^8\,x^8+2002\,d^5\,e^9\,x^9+1001\,d^4\,e^{10}\,x^{10}+364\,d^3\,e^{11}\,x^{11}+91\,d^2\,e^{12}\,x^{12}+14\,d\,e^{13}\,x^{13}+e^{14}\,x^{14}}","Not used",1,"-((858*A*a^10*e^11 + 11*B*b^10*d^11 + 3*A*b^10*d^10*e + 66*B*a^10*d*e^10 + 12*A*a*b^9*d^9*e^2 + 110*B*a^9*b*d^2*e^9 + 30*A*a^2*b^8*d^8*e^3 + 60*A*a^3*b^7*d^7*e^4 + 105*A*a^4*b^6*d^6*e^5 + 168*A*a^5*b^5*d^5*e^6 + 252*A*a^6*b^4*d^4*e^7 + 360*A*a^7*b^3*d^3*e^8 + 495*A*a^8*b^2*d^2*e^9 + 54*B*a^2*b^8*d^9*e^2 + 80*B*a^3*b^7*d^8*e^3 + 105*B*a^4*b^6*d^7*e^4 + 126*B*a^5*b^5*d^6*e^5 + 140*B*a^6*b^4*d^5*e^6 + 144*B*a^7*b^3*d^4*e^7 + 135*B*a^8*b^2*d^3*e^8 + 660*A*a^9*b*d*e^10 + 30*B*a*b^9*d^10*e)/(12012*e^12) + (x*(66*B*a^10*e^10 + 11*B*b^10*d^10 + 660*A*a^9*b*e^10 + 3*A*b^10*d^9*e + 12*A*a*b^9*d^8*e^2 + 495*A*a^8*b^2*d*e^9 + 30*A*a^2*b^8*d^7*e^3 + 60*A*a^3*b^7*d^6*e^4 + 105*A*a^4*b^6*d^5*e^5 + 168*A*a^5*b^5*d^4*e^6 + 252*A*a^6*b^4*d^3*e^7 + 360*A*a^7*b^3*d^2*e^8 + 54*B*a^2*b^8*d^8*e^2 + 80*B*a^3*b^7*d^7*e^3 + 105*B*a^4*b^6*d^6*e^4 + 126*B*a^5*b^5*d^5*e^5 + 140*B*a^6*b^4*d^4*e^6 + 144*B*a^7*b^3*d^3*e^7 + 135*B*a^8*b^2*d^2*e^8 + 30*B*a*b^9*d^9*e + 110*B*a^9*b*d*e^9))/(858*e^11) + (b^7*x^8*(80*B*a^3*e^3 + 11*B*b^3*d^3 + 30*A*a^2*b*e^3 + 3*A*b^3*d^2*e + 12*A*a*b^2*d*e^2 + 30*B*a*b^2*d^2*e + 54*B*a^2*b*d*e^2))/(4*e^4) + (b^4*x^5*(140*B*a^6*e^6 + 11*B*b^6*d^6 + 168*A*a^5*b*e^6 + 3*A*b^6*d^5*e + 12*A*a*b^5*d^4*e^2 + 105*A*a^4*b^2*d*e^5 + 30*A*a^2*b^4*d^3*e^3 + 60*A*a^3*b^3*d^2*e^4 + 54*B*a^2*b^4*d^4*e^2 + 80*B*a^3*b^3*d^3*e^3 + 105*B*a^4*b^2*d^2*e^4 + 30*B*a*b^5*d^5*e + 126*B*a^5*b*d*e^5))/(6*e^7) + (b^9*x^10*(3*A*b*e + 30*B*a*e + 11*B*b*d))/(12*e^2) + (2*b^6*x^7*(105*B*a^4*e^4 + 11*B*b^4*d^4 + 60*A*a^3*b*e^4 + 3*A*b^4*d^3*e + 12*A*a*b^3*d^2*e^2 + 30*A*a^2*b^2*d*e^3 + 54*B*a^2*b^2*d^2*e^2 + 30*B*a*b^3*d^3*e + 80*B*a^3*b*d*e^3))/(7*e^5) + (b^3*x^4*(144*B*a^7*e^7 + 11*B*b^7*d^7 + 252*A*a^6*b*e^7 + 3*A*b^7*d^6*e + 12*A*a*b^6*d^5*e^2 + 168*A*a^5*b^2*d*e^6 + 30*A*a^2*b^5*d^4*e^3 + 60*A*a^3*b^4*d^3*e^4 + 105*A*a^4*b^3*d^2*e^5 + 54*B*a^2*b^5*d^5*e^2 + 80*B*a^3*b^4*d^4*e^3 + 105*B*a^4*b^3*d^3*e^4 + 126*B*a^5*b^2*d^2*e^5 + 30*B*a*b^6*d^6*e + 140*B*a^6*b*d*e^6))/(12*e^8) + (b*x^2*(110*B*a^9*e^9 + 11*B*b^9*d^9 + 495*A*a^8*b*e^9 + 3*A*b^9*d^8*e + 12*A*a*b^8*d^7*e^2 + 360*A*a^7*b^2*d*e^8 + 30*A*a^2*b^7*d^6*e^3 + 60*A*a^3*b^6*d^5*e^4 + 105*A*a^4*b^5*d^4*e^5 + 168*A*a^5*b^4*d^3*e^6 + 252*A*a^6*b^3*d^2*e^7 + 54*B*a^2*b^7*d^7*e^2 + 80*B*a^3*b^6*d^6*e^3 + 105*B*a^4*b^5*d^5*e^4 + 126*B*a^5*b^4*d^4*e^5 + 140*B*a^6*b^3*d^3*e^6 + 144*B*a^7*b^2*d^2*e^7 + 30*B*a*b^8*d^8*e + 135*B*a^8*b*d*e^8))/(132*e^10) + (b^8*x^9*(54*B*a^2*e^2 + 11*B*b^2*d^2 + 12*A*a*b*e^2 + 3*A*b^2*d*e + 30*B*a*b*d*e))/(6*e^3) + (b^5*x^6*(126*B*a^5*e^5 + 11*B*b^5*d^5 + 105*A*a^4*b*e^5 + 3*A*b^5*d^4*e + 12*A*a*b^4*d^3*e^2 + 60*A*a^3*b^2*d*e^4 + 30*A*a^2*b^3*d^2*e^3 + 54*B*a^2*b^3*d^3*e^2 + 80*B*a^3*b^2*d^2*e^3 + 30*B*a*b^4*d^4*e + 105*B*a^4*b*d*e^4))/(4*e^6) + (b^2*x^3*(135*B*a^8*e^8 + 11*B*b^8*d^8 + 360*A*a^7*b*e^8 + 3*A*b^8*d^7*e + 12*A*a*b^7*d^6*e^2 + 252*A*a^6*b^2*d*e^7 + 30*A*a^2*b^6*d^5*e^3 + 60*A*a^3*b^5*d^4*e^4 + 105*A*a^4*b^4*d^3*e^5 + 168*A*a^5*b^3*d^2*e^6 + 54*B*a^2*b^6*d^6*e^2 + 80*B*a^3*b^5*d^5*e^3 + 105*B*a^4*b^4*d^4*e^4 + 126*B*a^5*b^3*d^3*e^5 + 140*B*a^6*b^2*d^2*e^6 + 30*B*a*b^7*d^7*e + 144*B*a^7*b*d*e^7))/(33*e^9) + (B*b^10*x^11)/(3*e))/(d^14 + e^14*x^14 + 14*d*e^13*x^13 + 91*d^12*e^2*x^2 + 364*d^11*e^3*x^3 + 1001*d^10*e^4*x^4 + 2002*d^9*e^5*x^5 + 3003*d^8*e^6*x^6 + 3432*d^7*e^7*x^7 + 3003*d^6*e^8*x^8 + 2002*d^5*e^9*x^9 + 1001*d^4*e^10*x^10 + 364*d^3*e^11*x^11 + 91*d^2*e^12*x^12 + 14*d^13*e*x)","B"
1104,1,2055,235,3.976737,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^16,x)","-\frac{\frac{286\,B\,a^{10}\,d\,e^{10}+4004\,A\,a^{10}\,e^{11}+440\,B\,a^9\,b\,d^2\,e^9+2860\,A\,a^9\,b\,d\,e^{10}+495\,B\,a^8\,b^2\,d^3\,e^8+1980\,A\,a^8\,b^2\,d^2\,e^9+480\,B\,a^7\,b^3\,d^4\,e^7+1320\,A\,a^7\,b^3\,d^3\,e^8+420\,B\,a^6\,b^4\,d^5\,e^6+840\,A\,a^6\,b^4\,d^4\,e^7+336\,B\,a^5\,b^5\,d^6\,e^5+504\,A\,a^5\,b^5\,d^5\,e^6+245\,B\,a^4\,b^6\,d^7\,e^4+280\,A\,a^4\,b^6\,d^6\,e^5+160\,B\,a^3\,b^7\,d^8\,e^3+140\,A\,a^3\,b^7\,d^7\,e^4+90\,B\,a^2\,b^8\,d^9\,e^2+60\,A\,a^2\,b^8\,d^8\,e^3+40\,B\,a\,b^9\,d^{10}\,e+20\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+4\,A\,b^{10}\,d^{10}\,e}{60060\,e^{12}}+\frac{x\,\left(286\,B\,a^{10}\,e^{10}+440\,B\,a^9\,b\,d\,e^9+2860\,A\,a^9\,b\,e^{10}+495\,B\,a^8\,b^2\,d^2\,e^8+1980\,A\,a^8\,b^2\,d\,e^9+480\,B\,a^7\,b^3\,d^3\,e^7+1320\,A\,a^7\,b^3\,d^2\,e^8+420\,B\,a^6\,b^4\,d^4\,e^6+840\,A\,a^6\,b^4\,d^3\,e^7+336\,B\,a^5\,b^5\,d^5\,e^5+504\,A\,a^5\,b^5\,d^4\,e^6+245\,B\,a^4\,b^6\,d^6\,e^4+280\,A\,a^4\,b^6\,d^5\,e^5+160\,B\,a^3\,b^7\,d^7\,e^3+140\,A\,a^3\,b^7\,d^6\,e^4+90\,B\,a^2\,b^8\,d^8\,e^2+60\,A\,a^2\,b^8\,d^7\,e^3+40\,B\,a\,b^9\,d^9\,e+20\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+4\,A\,b^{10}\,d^9\,e\right)}{4004\,e^{11}}+\frac{3\,b^7\,x^8\,\left(160\,B\,a^3\,e^3+90\,B\,a^2\,b\,d\,e^2+60\,A\,a^2\,b\,e^3+40\,B\,a\,b^2\,d^2\,e+20\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+4\,A\,b^3\,d^2\,e\right)}{28\,e^4}+\frac{b^4\,x^5\,\left(420\,B\,a^6\,e^6+336\,B\,a^5\,b\,d\,e^5+504\,A\,a^5\,b\,e^6+245\,B\,a^4\,b^2\,d^2\,e^4+280\,A\,a^4\,b^2\,d\,e^5+160\,B\,a^3\,b^3\,d^3\,e^3+140\,A\,a^3\,b^3\,d^2\,e^4+90\,B\,a^2\,b^4\,d^4\,e^2+60\,A\,a^2\,b^4\,d^3\,e^3+40\,B\,a\,b^5\,d^5\,e+20\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+4\,A\,b^6\,d^5\,e\right)}{20\,e^7}+\frac{b^9\,x^{10}\,\left(4\,A\,b\,e+40\,B\,a\,e+11\,B\,b\,d\right)}{20\,e^2}+\frac{3\,b^6\,x^7\,\left(245\,B\,a^4\,e^4+160\,B\,a^3\,b\,d\,e^3+140\,A\,a^3\,b\,e^4+90\,B\,a^2\,b^2\,d^2\,e^2+60\,A\,a^2\,b^2\,d\,e^3+40\,B\,a\,b^3\,d^3\,e+20\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+4\,A\,b^4\,d^3\,e\right)}{28\,e^5}+\frac{b^3\,x^4\,\left(480\,B\,a^7\,e^7+420\,B\,a^6\,b\,d\,e^6+840\,A\,a^6\,b\,e^7+336\,B\,a^5\,b^2\,d^2\,e^5+504\,A\,a^5\,b^2\,d\,e^6+245\,B\,a^4\,b^3\,d^3\,e^4+280\,A\,a^4\,b^3\,d^2\,e^5+160\,B\,a^3\,b^4\,d^4\,e^3+140\,A\,a^3\,b^4\,d^3\,e^4+90\,B\,a^2\,b^5\,d^5\,e^2+60\,A\,a^2\,b^5\,d^4\,e^3+40\,B\,a\,b^6\,d^6\,e+20\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+4\,A\,b^7\,d^6\,e\right)}{44\,e^8}+\frac{b\,x^2\,\left(440\,B\,a^9\,e^9+495\,B\,a^8\,b\,d\,e^8+1980\,A\,a^8\,b\,e^9+480\,B\,a^7\,b^2\,d^2\,e^7+1320\,A\,a^7\,b^2\,d\,e^8+420\,B\,a^6\,b^3\,d^3\,e^6+840\,A\,a^6\,b^3\,d^2\,e^7+336\,B\,a^5\,b^4\,d^4\,e^5+504\,A\,a^5\,b^4\,d^3\,e^6+245\,B\,a^4\,b^5\,d^5\,e^4+280\,A\,a^4\,b^5\,d^4\,e^5+160\,B\,a^3\,b^6\,d^6\,e^3+140\,A\,a^3\,b^6\,d^5\,e^4+90\,B\,a^2\,b^7\,d^7\,e^2+60\,A\,a^2\,b^7\,d^6\,e^3+40\,B\,a\,b^8\,d^8\,e+20\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+4\,A\,b^9\,d^8\,e\right)}{572\,e^{10}}+\frac{b^8\,x^9\,\left(90\,B\,a^2\,e^2+40\,B\,a\,b\,d\,e+20\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+4\,A\,b^2\,d\,e\right)}{12\,e^3}+\frac{b^5\,x^6\,\left(336\,B\,a^5\,e^5+245\,B\,a^4\,b\,d\,e^4+280\,A\,a^4\,b\,e^5+160\,B\,a^3\,b^2\,d^2\,e^3+140\,A\,a^3\,b^2\,d\,e^4+90\,B\,a^2\,b^3\,d^3\,e^2+60\,A\,a^2\,b^3\,d^2\,e^3+40\,B\,a\,b^4\,d^4\,e+20\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+4\,A\,b^5\,d^4\,e\right)}{12\,e^6}+\frac{b^2\,x^3\,\left(495\,B\,a^8\,e^8+480\,B\,a^7\,b\,d\,e^7+1320\,A\,a^7\,b\,e^8+420\,B\,a^6\,b^2\,d^2\,e^6+840\,A\,a^6\,b^2\,d\,e^7+336\,B\,a^5\,b^3\,d^3\,e^5+504\,A\,a^5\,b^3\,d^2\,e^6+245\,B\,a^4\,b^4\,d^4\,e^4+280\,A\,a^4\,b^4\,d^3\,e^5+160\,B\,a^3\,b^5\,d^5\,e^3+140\,A\,a^3\,b^5\,d^4\,e^4+90\,B\,a^2\,b^6\,d^6\,e^2+60\,A\,a^2\,b^6\,d^5\,e^3+40\,B\,a\,b^7\,d^7\,e+20\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+4\,A\,b^8\,d^7\,e\right)}{132\,e^9}+\frac{B\,b^{10}\,x^{11}}{4\,e}}{d^{15}+15\,d^{14}\,e\,x+105\,d^{13}\,e^2\,x^2+455\,d^{12}\,e^3\,x^3+1365\,d^{11}\,e^4\,x^4+3003\,d^{10}\,e^5\,x^5+5005\,d^9\,e^6\,x^6+6435\,d^8\,e^7\,x^7+6435\,d^7\,e^8\,x^8+5005\,d^6\,e^9\,x^9+3003\,d^5\,e^{10}\,x^{10}+1365\,d^4\,e^{11}\,x^{11}+455\,d^3\,e^{12}\,x^{12}+105\,d^2\,e^{13}\,x^{13}+15\,d\,e^{14}\,x^{14}+e^{15}\,x^{15}}","Not used",1,"-((4004*A*a^10*e^11 + 11*B*b^10*d^11 + 4*A*b^10*d^10*e + 286*B*a^10*d*e^10 + 20*A*a*b^9*d^9*e^2 + 440*B*a^9*b*d^2*e^9 + 60*A*a^2*b^8*d^8*e^3 + 140*A*a^3*b^7*d^7*e^4 + 280*A*a^4*b^6*d^6*e^5 + 504*A*a^5*b^5*d^5*e^6 + 840*A*a^6*b^4*d^4*e^7 + 1320*A*a^7*b^3*d^3*e^8 + 1980*A*a^8*b^2*d^2*e^9 + 90*B*a^2*b^8*d^9*e^2 + 160*B*a^3*b^7*d^8*e^3 + 245*B*a^4*b^6*d^7*e^4 + 336*B*a^5*b^5*d^6*e^5 + 420*B*a^6*b^4*d^5*e^6 + 480*B*a^7*b^3*d^4*e^7 + 495*B*a^8*b^2*d^3*e^8 + 2860*A*a^9*b*d*e^10 + 40*B*a*b^9*d^10*e)/(60060*e^12) + (x*(286*B*a^10*e^10 + 11*B*b^10*d^10 + 2860*A*a^9*b*e^10 + 4*A*b^10*d^9*e + 20*A*a*b^9*d^8*e^2 + 1980*A*a^8*b^2*d*e^9 + 60*A*a^2*b^8*d^7*e^3 + 140*A*a^3*b^7*d^6*e^4 + 280*A*a^4*b^6*d^5*e^5 + 504*A*a^5*b^5*d^4*e^6 + 840*A*a^6*b^4*d^3*e^7 + 1320*A*a^7*b^3*d^2*e^8 + 90*B*a^2*b^8*d^8*e^2 + 160*B*a^3*b^7*d^7*e^3 + 245*B*a^4*b^6*d^6*e^4 + 336*B*a^5*b^5*d^5*e^5 + 420*B*a^6*b^4*d^4*e^6 + 480*B*a^7*b^3*d^3*e^7 + 495*B*a^8*b^2*d^2*e^8 + 40*B*a*b^9*d^9*e + 440*B*a^9*b*d*e^9))/(4004*e^11) + (3*b^7*x^8*(160*B*a^3*e^3 + 11*B*b^3*d^3 + 60*A*a^2*b*e^3 + 4*A*b^3*d^2*e + 20*A*a*b^2*d*e^2 + 40*B*a*b^2*d^2*e + 90*B*a^2*b*d*e^2))/(28*e^4) + (b^4*x^5*(420*B*a^6*e^6 + 11*B*b^6*d^6 + 504*A*a^5*b*e^6 + 4*A*b^6*d^5*e + 20*A*a*b^5*d^4*e^2 + 280*A*a^4*b^2*d*e^5 + 60*A*a^2*b^4*d^3*e^3 + 140*A*a^3*b^3*d^2*e^4 + 90*B*a^2*b^4*d^4*e^2 + 160*B*a^3*b^3*d^3*e^3 + 245*B*a^4*b^2*d^2*e^4 + 40*B*a*b^5*d^5*e + 336*B*a^5*b*d*e^5))/(20*e^7) + (b^9*x^10*(4*A*b*e + 40*B*a*e + 11*B*b*d))/(20*e^2) + (3*b^6*x^7*(245*B*a^4*e^4 + 11*B*b^4*d^4 + 140*A*a^3*b*e^4 + 4*A*b^4*d^3*e + 20*A*a*b^3*d^2*e^2 + 60*A*a^2*b^2*d*e^3 + 90*B*a^2*b^2*d^2*e^2 + 40*B*a*b^3*d^3*e + 160*B*a^3*b*d*e^3))/(28*e^5) + (b^3*x^4*(480*B*a^7*e^7 + 11*B*b^7*d^7 + 840*A*a^6*b*e^7 + 4*A*b^7*d^6*e + 20*A*a*b^6*d^5*e^2 + 504*A*a^5*b^2*d*e^6 + 60*A*a^2*b^5*d^4*e^3 + 140*A*a^3*b^4*d^3*e^4 + 280*A*a^4*b^3*d^2*e^5 + 90*B*a^2*b^5*d^5*e^2 + 160*B*a^3*b^4*d^4*e^3 + 245*B*a^4*b^3*d^3*e^4 + 336*B*a^5*b^2*d^2*e^5 + 40*B*a*b^6*d^6*e + 420*B*a^6*b*d*e^6))/(44*e^8) + (b*x^2*(440*B*a^9*e^9 + 11*B*b^9*d^9 + 1980*A*a^8*b*e^9 + 4*A*b^9*d^8*e + 20*A*a*b^8*d^7*e^2 + 1320*A*a^7*b^2*d*e^8 + 60*A*a^2*b^7*d^6*e^3 + 140*A*a^3*b^6*d^5*e^4 + 280*A*a^4*b^5*d^4*e^5 + 504*A*a^5*b^4*d^3*e^6 + 840*A*a^6*b^3*d^2*e^7 + 90*B*a^2*b^7*d^7*e^2 + 160*B*a^3*b^6*d^6*e^3 + 245*B*a^4*b^5*d^5*e^4 + 336*B*a^5*b^4*d^4*e^5 + 420*B*a^6*b^3*d^3*e^6 + 480*B*a^7*b^2*d^2*e^7 + 40*B*a*b^8*d^8*e + 495*B*a^8*b*d*e^8))/(572*e^10) + (b^8*x^9*(90*B*a^2*e^2 + 11*B*b^2*d^2 + 20*A*a*b*e^2 + 4*A*b^2*d*e + 40*B*a*b*d*e))/(12*e^3) + (b^5*x^6*(336*B*a^5*e^5 + 11*B*b^5*d^5 + 280*A*a^4*b*e^5 + 4*A*b^5*d^4*e + 20*A*a*b^4*d^3*e^2 + 140*A*a^3*b^2*d*e^4 + 60*A*a^2*b^3*d^2*e^3 + 90*B*a^2*b^3*d^3*e^2 + 160*B*a^3*b^2*d^2*e^3 + 40*B*a*b^4*d^4*e + 245*B*a^4*b*d*e^4))/(12*e^6) + (b^2*x^3*(495*B*a^8*e^8 + 11*B*b^8*d^8 + 1320*A*a^7*b*e^8 + 4*A*b^8*d^7*e + 20*A*a*b^7*d^6*e^2 + 840*A*a^6*b^2*d*e^7 + 60*A*a^2*b^6*d^5*e^3 + 140*A*a^3*b^5*d^4*e^4 + 280*A*a^4*b^4*d^3*e^5 + 504*A*a^5*b^3*d^2*e^6 + 90*B*a^2*b^6*d^6*e^2 + 160*B*a^3*b^5*d^5*e^3 + 245*B*a^4*b^4*d^4*e^4 + 336*B*a^5*b^3*d^3*e^5 + 420*B*a^6*b^2*d^2*e^6 + 40*B*a*b^7*d^7*e + 480*B*a^7*b*d*e^7))/(132*e^9) + (B*b^10*x^11)/(4*e))/(d^15 + e^15*x^15 + 15*d*e^14*x^14 + 105*d^13*e^2*x^2 + 455*d^12*e^3*x^3 + 1365*d^11*e^4*x^4 + 3003*d^10*e^5*x^5 + 5005*d^9*e^6*x^6 + 6435*d^8*e^7*x^7 + 6435*d^7*e^8*x^8 + 5005*d^6*e^9*x^9 + 3003*d^5*e^10*x^10 + 1365*d^4*e^11*x^11 + 455*d^3*e^12*x^12 + 105*d^2*e^13*x^13 + 15*d^14*e*x)","B"
1105,1,2066,285,0.635429,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^17,x)","-\frac{\frac{1001\,B\,a^{10}\,d\,e^{10}+15015\,A\,a^{10}\,e^{11}+1430\,B\,a^9\,b\,d^2\,e^9+10010\,A\,a^9\,b\,d\,e^{10}+1485\,B\,a^8\,b^2\,d^3\,e^8+6435\,A\,a^8\,b^2\,d^2\,e^9+1320\,B\,a^7\,b^3\,d^4\,e^7+3960\,A\,a^7\,b^3\,d^3\,e^8+1050\,B\,a^6\,b^4\,d^5\,e^6+2310\,A\,a^6\,b^4\,d^4\,e^7+756\,B\,a^5\,b^5\,d^6\,e^5+1260\,A\,a^5\,b^5\,d^5\,e^6+490\,B\,a^4\,b^6\,d^7\,e^4+630\,A\,a^4\,b^6\,d^6\,e^5+280\,B\,a^3\,b^7\,d^8\,e^3+280\,A\,a^3\,b^7\,d^7\,e^4+135\,B\,a^2\,b^8\,d^9\,e^2+105\,A\,a^2\,b^8\,d^8\,e^3+50\,B\,a\,b^9\,d^{10}\,e+30\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+5\,A\,b^{10}\,d^{10}\,e}{240240\,e^{12}}+\frac{x\,\left(1001\,B\,a^{10}\,e^{10}+1430\,B\,a^9\,b\,d\,e^9+10010\,A\,a^9\,b\,e^{10}+1485\,B\,a^8\,b^2\,d^2\,e^8+6435\,A\,a^8\,b^2\,d\,e^9+1320\,B\,a^7\,b^3\,d^3\,e^7+3960\,A\,a^7\,b^3\,d^2\,e^8+1050\,B\,a^6\,b^4\,d^4\,e^6+2310\,A\,a^6\,b^4\,d^3\,e^7+756\,B\,a^5\,b^5\,d^5\,e^5+1260\,A\,a^5\,b^5\,d^4\,e^6+490\,B\,a^4\,b^6\,d^6\,e^4+630\,A\,a^4\,b^6\,d^5\,e^5+280\,B\,a^3\,b^7\,d^7\,e^3+280\,A\,a^3\,b^7\,d^6\,e^4+135\,B\,a^2\,b^8\,d^8\,e^2+105\,A\,a^2\,b^8\,d^7\,e^3+50\,B\,a\,b^9\,d^9\,e+30\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+5\,A\,b^{10}\,d^9\,e\right)}{15015\,e^{11}}+\frac{3\,b^7\,x^8\,\left(280\,B\,a^3\,e^3+135\,B\,a^2\,b\,d\,e^2+105\,A\,a^2\,b\,e^3+50\,B\,a\,b^2\,d^2\,e+30\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+5\,A\,b^3\,d^2\,e\right)}{56\,e^4}+\frac{b^4\,x^5\,\left(1050\,B\,a^6\,e^6+756\,B\,a^5\,b\,d\,e^5+1260\,A\,a^5\,b\,e^6+490\,B\,a^4\,b^2\,d^2\,e^4+630\,A\,a^4\,b^2\,d\,e^5+280\,B\,a^3\,b^3\,d^3\,e^3+280\,A\,a^3\,b^3\,d^2\,e^4+135\,B\,a^2\,b^4\,d^4\,e^2+105\,A\,a^2\,b^4\,d^3\,e^3+50\,B\,a\,b^5\,d^5\,e+30\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+5\,A\,b^6\,d^5\,e\right)}{55\,e^7}+\frac{b^9\,x^{10}\,\left(5\,A\,b\,e+50\,B\,a\,e+11\,B\,b\,d\right)}{30\,e^2}+\frac{b^6\,x^7\,\left(490\,B\,a^4\,e^4+280\,B\,a^3\,b\,d\,e^3+280\,A\,a^3\,b\,e^4+135\,B\,a^2\,b^2\,d^2\,e^2+105\,A\,a^2\,b^2\,d\,e^3+50\,B\,a\,b^3\,d^3\,e+30\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+5\,A\,b^4\,d^3\,e\right)}{21\,e^5}+\frac{b^3\,x^4\,\left(1320\,B\,a^7\,e^7+1050\,B\,a^6\,b\,d\,e^6+2310\,A\,a^6\,b\,e^7+756\,B\,a^5\,b^2\,d^2\,e^5+1260\,A\,a^5\,b^2\,d\,e^6+490\,B\,a^4\,b^3\,d^3\,e^4+630\,A\,a^4\,b^3\,d^2\,e^5+280\,B\,a^3\,b^4\,d^4\,e^3+280\,A\,a^3\,b^4\,d^3\,e^4+135\,B\,a^2\,b^5\,d^5\,e^2+105\,A\,a^2\,b^5\,d^4\,e^3+50\,B\,a\,b^6\,d^6\,e+30\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+5\,A\,b^7\,d^6\,e\right)}{132\,e^8}+\frac{b\,x^2\,\left(1430\,B\,a^9\,e^9+1485\,B\,a^8\,b\,d\,e^8+6435\,A\,a^8\,b\,e^9+1320\,B\,a^7\,b^2\,d^2\,e^7+3960\,A\,a^7\,b^2\,d\,e^8+1050\,B\,a^6\,b^3\,d^3\,e^6+2310\,A\,a^6\,b^3\,d^2\,e^7+756\,B\,a^5\,b^4\,d^4\,e^5+1260\,A\,a^5\,b^4\,d^3\,e^6+490\,B\,a^4\,b^5\,d^5\,e^4+630\,A\,a^4\,b^5\,d^4\,e^5+280\,B\,a^3\,b^6\,d^6\,e^3+280\,A\,a^3\,b^6\,d^5\,e^4+135\,B\,a^2\,b^7\,d^7\,e^2+105\,A\,a^2\,b^7\,d^6\,e^3+50\,B\,a\,b^8\,d^8\,e+30\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+5\,A\,b^9\,d^8\,e\right)}{2002\,e^{10}}+\frac{b^8\,x^9\,\left(135\,B\,a^2\,e^2+50\,B\,a\,b\,d\,e+30\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+5\,A\,b^2\,d\,e\right)}{21\,e^3}+\frac{b^5\,x^6\,\left(756\,B\,a^5\,e^5+490\,B\,a^4\,b\,d\,e^4+630\,A\,a^4\,b\,e^5+280\,B\,a^3\,b^2\,d^2\,e^3+280\,A\,a^3\,b^2\,d\,e^4+135\,B\,a^2\,b^3\,d^3\,e^2+105\,A\,a^2\,b^3\,d^2\,e^3+50\,B\,a\,b^4\,d^4\,e+30\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+5\,A\,b^5\,d^4\,e\right)}{30\,e^6}+\frac{b^2\,x^3\,\left(1485\,B\,a^8\,e^8+1320\,B\,a^7\,b\,d\,e^7+3960\,A\,a^7\,b\,e^8+1050\,B\,a^6\,b^2\,d^2\,e^6+2310\,A\,a^6\,b^2\,d\,e^7+756\,B\,a^5\,b^3\,d^3\,e^5+1260\,A\,a^5\,b^3\,d^2\,e^6+490\,B\,a^4\,b^4\,d^4\,e^4+630\,A\,a^4\,b^4\,d^3\,e^5+280\,B\,a^3\,b^5\,d^5\,e^3+280\,A\,a^3\,b^5\,d^4\,e^4+135\,B\,a^2\,b^6\,d^6\,e^2+105\,A\,a^2\,b^6\,d^5\,e^3+50\,B\,a\,b^7\,d^7\,e+30\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+5\,A\,b^8\,d^7\,e\right)}{429\,e^9}+\frac{B\,b^{10}\,x^{11}}{5\,e}}{d^{16}+16\,d^{15}\,e\,x+120\,d^{14}\,e^2\,x^2+560\,d^{13}\,e^3\,x^3+1820\,d^{12}\,e^4\,x^4+4368\,d^{11}\,e^5\,x^5+8008\,d^{10}\,e^6\,x^6+11440\,d^9\,e^7\,x^7+12870\,d^8\,e^8\,x^8+11440\,d^7\,e^9\,x^9+8008\,d^6\,e^{10}\,x^{10}+4368\,d^5\,e^{11}\,x^{11}+1820\,d^4\,e^{12}\,x^{12}+560\,d^3\,e^{13}\,x^{13}+120\,d^2\,e^{14}\,x^{14}+16\,d\,e^{15}\,x^{15}+e^{16}\,x^{16}}","Not used",1,"-((15015*A*a^10*e^11 + 11*B*b^10*d^11 + 5*A*b^10*d^10*e + 1001*B*a^10*d*e^10 + 30*A*a*b^9*d^9*e^2 + 1430*B*a^9*b*d^2*e^9 + 105*A*a^2*b^8*d^8*e^3 + 280*A*a^3*b^7*d^7*e^4 + 630*A*a^4*b^6*d^6*e^5 + 1260*A*a^5*b^5*d^5*e^6 + 2310*A*a^6*b^4*d^4*e^7 + 3960*A*a^7*b^3*d^3*e^8 + 6435*A*a^8*b^2*d^2*e^9 + 135*B*a^2*b^8*d^9*e^2 + 280*B*a^3*b^7*d^8*e^3 + 490*B*a^4*b^6*d^7*e^4 + 756*B*a^5*b^5*d^6*e^5 + 1050*B*a^6*b^4*d^5*e^6 + 1320*B*a^7*b^3*d^4*e^7 + 1485*B*a^8*b^2*d^3*e^8 + 10010*A*a^9*b*d*e^10 + 50*B*a*b^9*d^10*e)/(240240*e^12) + (x*(1001*B*a^10*e^10 + 11*B*b^10*d^10 + 10010*A*a^9*b*e^10 + 5*A*b^10*d^9*e + 30*A*a*b^9*d^8*e^2 + 6435*A*a^8*b^2*d*e^9 + 105*A*a^2*b^8*d^7*e^3 + 280*A*a^3*b^7*d^6*e^4 + 630*A*a^4*b^6*d^5*e^5 + 1260*A*a^5*b^5*d^4*e^6 + 2310*A*a^6*b^4*d^3*e^7 + 3960*A*a^7*b^3*d^2*e^8 + 135*B*a^2*b^8*d^8*e^2 + 280*B*a^3*b^7*d^7*e^3 + 490*B*a^4*b^6*d^6*e^4 + 756*B*a^5*b^5*d^5*e^5 + 1050*B*a^6*b^4*d^4*e^6 + 1320*B*a^7*b^3*d^3*e^7 + 1485*B*a^8*b^2*d^2*e^8 + 50*B*a*b^9*d^9*e + 1430*B*a^9*b*d*e^9))/(15015*e^11) + (3*b^7*x^8*(280*B*a^3*e^3 + 11*B*b^3*d^3 + 105*A*a^2*b*e^3 + 5*A*b^3*d^2*e + 30*A*a*b^2*d*e^2 + 50*B*a*b^2*d^2*e + 135*B*a^2*b*d*e^2))/(56*e^4) + (b^4*x^5*(1050*B*a^6*e^6 + 11*B*b^6*d^6 + 1260*A*a^5*b*e^6 + 5*A*b^6*d^5*e + 30*A*a*b^5*d^4*e^2 + 630*A*a^4*b^2*d*e^5 + 105*A*a^2*b^4*d^3*e^3 + 280*A*a^3*b^3*d^2*e^4 + 135*B*a^2*b^4*d^4*e^2 + 280*B*a^3*b^3*d^3*e^3 + 490*B*a^4*b^2*d^2*e^4 + 50*B*a*b^5*d^5*e + 756*B*a^5*b*d*e^5))/(55*e^7) + (b^9*x^10*(5*A*b*e + 50*B*a*e + 11*B*b*d))/(30*e^2) + (b^6*x^7*(490*B*a^4*e^4 + 11*B*b^4*d^4 + 280*A*a^3*b*e^4 + 5*A*b^4*d^3*e + 30*A*a*b^3*d^2*e^2 + 105*A*a^2*b^2*d*e^3 + 135*B*a^2*b^2*d^2*e^2 + 50*B*a*b^3*d^3*e + 280*B*a^3*b*d*e^3))/(21*e^5) + (b^3*x^4*(1320*B*a^7*e^7 + 11*B*b^7*d^7 + 2310*A*a^6*b*e^7 + 5*A*b^7*d^6*e + 30*A*a*b^6*d^5*e^2 + 1260*A*a^5*b^2*d*e^6 + 105*A*a^2*b^5*d^4*e^3 + 280*A*a^3*b^4*d^3*e^4 + 630*A*a^4*b^3*d^2*e^5 + 135*B*a^2*b^5*d^5*e^2 + 280*B*a^3*b^4*d^4*e^3 + 490*B*a^4*b^3*d^3*e^4 + 756*B*a^5*b^2*d^2*e^5 + 50*B*a*b^6*d^6*e + 1050*B*a^6*b*d*e^6))/(132*e^8) + (b*x^2*(1430*B*a^9*e^9 + 11*B*b^9*d^9 + 6435*A*a^8*b*e^9 + 5*A*b^9*d^8*e + 30*A*a*b^8*d^7*e^2 + 3960*A*a^7*b^2*d*e^8 + 105*A*a^2*b^7*d^6*e^3 + 280*A*a^3*b^6*d^5*e^4 + 630*A*a^4*b^5*d^4*e^5 + 1260*A*a^5*b^4*d^3*e^6 + 2310*A*a^6*b^3*d^2*e^7 + 135*B*a^2*b^7*d^7*e^2 + 280*B*a^3*b^6*d^6*e^3 + 490*B*a^4*b^5*d^5*e^4 + 756*B*a^5*b^4*d^4*e^5 + 1050*B*a^6*b^3*d^3*e^6 + 1320*B*a^7*b^2*d^2*e^7 + 50*B*a*b^8*d^8*e + 1485*B*a^8*b*d*e^8))/(2002*e^10) + (b^8*x^9*(135*B*a^2*e^2 + 11*B*b^2*d^2 + 30*A*a*b*e^2 + 5*A*b^2*d*e + 50*B*a*b*d*e))/(21*e^3) + (b^5*x^6*(756*B*a^5*e^5 + 11*B*b^5*d^5 + 630*A*a^4*b*e^5 + 5*A*b^5*d^4*e + 30*A*a*b^4*d^3*e^2 + 280*A*a^3*b^2*d*e^4 + 105*A*a^2*b^3*d^2*e^3 + 135*B*a^2*b^3*d^3*e^2 + 280*B*a^3*b^2*d^2*e^3 + 50*B*a*b^4*d^4*e + 490*B*a^4*b*d*e^4))/(30*e^6) + (b^2*x^3*(1485*B*a^8*e^8 + 11*B*b^8*d^8 + 3960*A*a^7*b*e^8 + 5*A*b^8*d^7*e + 30*A*a*b^7*d^6*e^2 + 2310*A*a^6*b^2*d*e^7 + 105*A*a^2*b^6*d^5*e^3 + 280*A*a^3*b^5*d^4*e^4 + 630*A*a^4*b^4*d^3*e^5 + 1260*A*a^5*b^3*d^2*e^6 + 135*B*a^2*b^6*d^6*e^2 + 280*B*a^3*b^5*d^5*e^3 + 490*B*a^4*b^4*d^4*e^4 + 756*B*a^5*b^3*d^3*e^5 + 1050*B*a^6*b^2*d^2*e^6 + 50*B*a*b^7*d^7*e + 1320*B*a^7*b*d*e^7))/(429*e^9) + (B*b^10*x^11)/(5*e))/(d^16 + e^16*x^16 + 16*d*e^15*x^15 + 120*d^14*e^2*x^2 + 560*d^13*e^3*x^3 + 1820*d^12*e^4*x^4 + 4368*d^11*e^5*x^5 + 8008*d^10*e^6*x^6 + 11440*d^9*e^7*x^7 + 12870*d^8*e^8*x^8 + 11440*d^7*e^9*x^9 + 8008*d^6*e^10*x^10 + 4368*d^5*e^11*x^11 + 1820*d^4*e^12*x^12 + 560*d^3*e^13*x^13 + 120*d^2*e^14*x^14 + 16*d^15*e*x)","B"
1106,1,2077,335,0.739358,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^18,x)","-\frac{\frac{3003\,B\,a^{10}\,d\,e^{10}+48048\,A\,a^{10}\,e^{11}+4004\,B\,a^9\,b\,d^2\,e^9+30030\,A\,a^9\,b\,d\,e^{10}+3861\,B\,a^8\,b^2\,d^3\,e^8+18018\,A\,a^8\,b^2\,d^2\,e^9+3168\,B\,a^7\,b^3\,d^4\,e^7+10296\,A\,a^7\,b^3\,d^3\,e^8+2310\,B\,a^6\,b^4\,d^5\,e^6+5544\,A\,a^6\,b^4\,d^4\,e^7+1512\,B\,a^5\,b^5\,d^6\,e^5+2772\,A\,a^5\,b^5\,d^5\,e^6+882\,B\,a^4\,b^6\,d^7\,e^4+1260\,A\,a^4\,b^6\,d^6\,e^5+448\,B\,a^3\,b^7\,d^8\,e^3+504\,A\,a^3\,b^7\,d^7\,e^4+189\,B\,a^2\,b^8\,d^9\,e^2+168\,A\,a^2\,b^8\,d^8\,e^3+60\,B\,a\,b^9\,d^{10}\,e+42\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+6\,A\,b^{10}\,d^{10}\,e}{816816\,e^{12}}+\frac{x\,\left(3003\,B\,a^{10}\,e^{10}+4004\,B\,a^9\,b\,d\,e^9+30030\,A\,a^9\,b\,e^{10}+3861\,B\,a^8\,b^2\,d^2\,e^8+18018\,A\,a^8\,b^2\,d\,e^9+3168\,B\,a^7\,b^3\,d^3\,e^7+10296\,A\,a^7\,b^3\,d^2\,e^8+2310\,B\,a^6\,b^4\,d^4\,e^6+5544\,A\,a^6\,b^4\,d^3\,e^7+1512\,B\,a^5\,b^5\,d^5\,e^5+2772\,A\,a^5\,b^5\,d^4\,e^6+882\,B\,a^4\,b^6\,d^6\,e^4+1260\,A\,a^4\,b^6\,d^5\,e^5+448\,B\,a^3\,b^7\,d^7\,e^3+504\,A\,a^3\,b^7\,d^6\,e^4+189\,B\,a^2\,b^8\,d^8\,e^2+168\,A\,a^2\,b^8\,d^7\,e^3+60\,B\,a\,b^9\,d^9\,e+42\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+6\,A\,b^{10}\,d^9\,e\right)}{48048\,e^{11}}+\frac{5\,b^7\,x^8\,\left(448\,B\,a^3\,e^3+189\,B\,a^2\,b\,d\,e^2+168\,A\,a^2\,b\,e^3+60\,B\,a\,b^2\,d^2\,e+42\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+6\,A\,b^3\,d^2\,e\right)}{168\,e^4}+\frac{b^4\,x^5\,\left(2310\,B\,a^6\,e^6+1512\,B\,a^5\,b\,d\,e^5+2772\,A\,a^5\,b\,e^6+882\,B\,a^4\,b^2\,d^2\,e^4+1260\,A\,a^4\,b^2\,d\,e^5+448\,B\,a^3\,b^3\,d^3\,e^3+504\,A\,a^3\,b^3\,d^2\,e^4+189\,B\,a^2\,b^4\,d^4\,e^2+168\,A\,a^2\,b^4\,d^3\,e^3+60\,B\,a\,b^5\,d^5\,e+42\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+6\,A\,b^6\,d^5\,e\right)}{132\,e^7}+\frac{b^9\,x^{10}\,\left(6\,A\,b\,e+60\,B\,a\,e+11\,B\,b\,d\right)}{42\,e^2}+\frac{b^6\,x^7\,\left(882\,B\,a^4\,e^4+448\,B\,a^3\,b\,d\,e^3+504\,A\,a^3\,b\,e^4+189\,B\,a^2\,b^2\,d^2\,e^2+168\,A\,a^2\,b^2\,d\,e^3+60\,B\,a\,b^3\,d^3\,e+42\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+6\,A\,b^4\,d^3\,e\right)}{42\,e^5}+\frac{5\,b^3\,x^4\,\left(3168\,B\,a^7\,e^7+2310\,B\,a^6\,b\,d\,e^6+5544\,A\,a^6\,b\,e^7+1512\,B\,a^5\,b^2\,d^2\,e^5+2772\,A\,a^5\,b^2\,d\,e^6+882\,B\,a^4\,b^3\,d^3\,e^4+1260\,A\,a^4\,b^3\,d^2\,e^5+448\,B\,a^3\,b^4\,d^4\,e^3+504\,A\,a^3\,b^4\,d^3\,e^4+189\,B\,a^2\,b^5\,d^5\,e^2+168\,A\,a^2\,b^5\,d^4\,e^3+60\,B\,a\,b^6\,d^6\,e+42\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+6\,A\,b^7\,d^6\,e\right)}{1716\,e^8}+\frac{b\,x^2\,\left(4004\,B\,a^9\,e^9+3861\,B\,a^8\,b\,d\,e^8+18018\,A\,a^8\,b\,e^9+3168\,B\,a^7\,b^2\,d^2\,e^7+10296\,A\,a^7\,b^2\,d\,e^8+2310\,B\,a^6\,b^3\,d^3\,e^6+5544\,A\,a^6\,b^3\,d^2\,e^7+1512\,B\,a^5\,b^4\,d^4\,e^5+2772\,A\,a^5\,b^4\,d^3\,e^6+882\,B\,a^4\,b^5\,d^5\,e^4+1260\,A\,a^4\,b^5\,d^4\,e^5+448\,B\,a^3\,b^6\,d^6\,e^3+504\,A\,a^3\,b^6\,d^5\,e^4+189\,B\,a^2\,b^7\,d^7\,e^2+168\,A\,a^2\,b^7\,d^6\,e^3+60\,B\,a\,b^8\,d^8\,e+42\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+6\,A\,b^9\,d^8\,e\right)}{6006\,e^{10}}+\frac{5\,b^8\,x^9\,\left(189\,B\,a^2\,e^2+60\,B\,a\,b\,d\,e+42\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+6\,A\,b^2\,d\,e\right)}{168\,e^3}+\frac{b^5\,x^6\,\left(1512\,B\,a^5\,e^5+882\,B\,a^4\,b\,d\,e^4+1260\,A\,a^4\,b\,e^5+448\,B\,a^3\,b^2\,d^2\,e^3+504\,A\,a^3\,b^2\,d\,e^4+189\,B\,a^2\,b^3\,d^3\,e^2+168\,A\,a^2\,b^3\,d^2\,e^3+60\,B\,a\,b^4\,d^4\,e+42\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+6\,A\,b^5\,d^4\,e\right)}{66\,e^6}+\frac{5\,b^2\,x^3\,\left(3861\,B\,a^8\,e^8+3168\,B\,a^7\,b\,d\,e^7+10296\,A\,a^7\,b\,e^8+2310\,B\,a^6\,b^2\,d^2\,e^6+5544\,A\,a^6\,b^2\,d\,e^7+1512\,B\,a^5\,b^3\,d^3\,e^5+2772\,A\,a^5\,b^3\,d^2\,e^6+882\,B\,a^4\,b^4\,d^4\,e^4+1260\,A\,a^4\,b^4\,d^3\,e^5+448\,B\,a^3\,b^5\,d^5\,e^3+504\,A\,a^3\,b^5\,d^4\,e^4+189\,B\,a^2\,b^6\,d^6\,e^2+168\,A\,a^2\,b^6\,d^5\,e^3+60\,B\,a\,b^7\,d^7\,e+42\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+6\,A\,b^8\,d^7\,e\right)}{6006\,e^9}+\frac{B\,b^{10}\,x^{11}}{6\,e}}{d^{17}+17\,d^{16}\,e\,x+136\,d^{15}\,e^2\,x^2+680\,d^{14}\,e^3\,x^3+2380\,d^{13}\,e^4\,x^4+6188\,d^{12}\,e^5\,x^5+12376\,d^{11}\,e^6\,x^6+19448\,d^{10}\,e^7\,x^7+24310\,d^9\,e^8\,x^8+24310\,d^8\,e^9\,x^9+19448\,d^7\,e^{10}\,x^{10}+12376\,d^6\,e^{11}\,x^{11}+6188\,d^5\,e^{12}\,x^{12}+2380\,d^4\,e^{13}\,x^{13}+680\,d^3\,e^{14}\,x^{14}+136\,d^2\,e^{15}\,x^{15}+17\,d\,e^{16}\,x^{16}+e^{17}\,x^{17}}","Not used",1,"-((48048*A*a^10*e^11 + 11*B*b^10*d^11 + 6*A*b^10*d^10*e + 3003*B*a^10*d*e^10 + 42*A*a*b^9*d^9*e^2 + 4004*B*a^9*b*d^2*e^9 + 168*A*a^2*b^8*d^8*e^3 + 504*A*a^3*b^7*d^7*e^4 + 1260*A*a^4*b^6*d^6*e^5 + 2772*A*a^5*b^5*d^5*e^6 + 5544*A*a^6*b^4*d^4*e^7 + 10296*A*a^7*b^3*d^3*e^8 + 18018*A*a^8*b^2*d^2*e^9 + 189*B*a^2*b^8*d^9*e^2 + 448*B*a^3*b^7*d^8*e^3 + 882*B*a^4*b^6*d^7*e^4 + 1512*B*a^5*b^5*d^6*e^5 + 2310*B*a^6*b^4*d^5*e^6 + 3168*B*a^7*b^3*d^4*e^7 + 3861*B*a^8*b^2*d^3*e^8 + 30030*A*a^9*b*d*e^10 + 60*B*a*b^9*d^10*e)/(816816*e^12) + (x*(3003*B*a^10*e^10 + 11*B*b^10*d^10 + 30030*A*a^9*b*e^10 + 6*A*b^10*d^9*e + 42*A*a*b^9*d^8*e^2 + 18018*A*a^8*b^2*d*e^9 + 168*A*a^2*b^8*d^7*e^3 + 504*A*a^3*b^7*d^6*e^4 + 1260*A*a^4*b^6*d^5*e^5 + 2772*A*a^5*b^5*d^4*e^6 + 5544*A*a^6*b^4*d^3*e^7 + 10296*A*a^7*b^3*d^2*e^8 + 189*B*a^2*b^8*d^8*e^2 + 448*B*a^3*b^7*d^7*e^3 + 882*B*a^4*b^6*d^6*e^4 + 1512*B*a^5*b^5*d^5*e^5 + 2310*B*a^6*b^4*d^4*e^6 + 3168*B*a^7*b^3*d^3*e^7 + 3861*B*a^8*b^2*d^2*e^8 + 60*B*a*b^9*d^9*e + 4004*B*a^9*b*d*e^9))/(48048*e^11) + (5*b^7*x^8*(448*B*a^3*e^3 + 11*B*b^3*d^3 + 168*A*a^2*b*e^3 + 6*A*b^3*d^2*e + 42*A*a*b^2*d*e^2 + 60*B*a*b^2*d^2*e + 189*B*a^2*b*d*e^2))/(168*e^4) + (b^4*x^5*(2310*B*a^6*e^6 + 11*B*b^6*d^6 + 2772*A*a^5*b*e^6 + 6*A*b^6*d^5*e + 42*A*a*b^5*d^4*e^2 + 1260*A*a^4*b^2*d*e^5 + 168*A*a^2*b^4*d^3*e^3 + 504*A*a^3*b^3*d^2*e^4 + 189*B*a^2*b^4*d^4*e^2 + 448*B*a^3*b^3*d^3*e^3 + 882*B*a^4*b^2*d^2*e^4 + 60*B*a*b^5*d^5*e + 1512*B*a^5*b*d*e^5))/(132*e^7) + (b^9*x^10*(6*A*b*e + 60*B*a*e + 11*B*b*d))/(42*e^2) + (b^6*x^7*(882*B*a^4*e^4 + 11*B*b^4*d^4 + 504*A*a^3*b*e^4 + 6*A*b^4*d^3*e + 42*A*a*b^3*d^2*e^2 + 168*A*a^2*b^2*d*e^3 + 189*B*a^2*b^2*d^2*e^2 + 60*B*a*b^3*d^3*e + 448*B*a^3*b*d*e^3))/(42*e^5) + (5*b^3*x^4*(3168*B*a^7*e^7 + 11*B*b^7*d^7 + 5544*A*a^6*b*e^7 + 6*A*b^7*d^6*e + 42*A*a*b^6*d^5*e^2 + 2772*A*a^5*b^2*d*e^6 + 168*A*a^2*b^5*d^4*e^3 + 504*A*a^3*b^4*d^3*e^4 + 1260*A*a^4*b^3*d^2*e^5 + 189*B*a^2*b^5*d^5*e^2 + 448*B*a^3*b^4*d^4*e^3 + 882*B*a^4*b^3*d^3*e^4 + 1512*B*a^5*b^2*d^2*e^5 + 60*B*a*b^6*d^6*e + 2310*B*a^6*b*d*e^6))/(1716*e^8) + (b*x^2*(4004*B*a^9*e^9 + 11*B*b^9*d^9 + 18018*A*a^8*b*e^9 + 6*A*b^9*d^8*e + 42*A*a*b^8*d^7*e^2 + 10296*A*a^7*b^2*d*e^8 + 168*A*a^2*b^7*d^6*e^3 + 504*A*a^3*b^6*d^5*e^4 + 1260*A*a^4*b^5*d^4*e^5 + 2772*A*a^5*b^4*d^3*e^6 + 5544*A*a^6*b^3*d^2*e^7 + 189*B*a^2*b^7*d^7*e^2 + 448*B*a^3*b^6*d^6*e^3 + 882*B*a^4*b^5*d^5*e^4 + 1512*B*a^5*b^4*d^4*e^5 + 2310*B*a^6*b^3*d^3*e^6 + 3168*B*a^7*b^2*d^2*e^7 + 60*B*a*b^8*d^8*e + 3861*B*a^8*b*d*e^8))/(6006*e^10) + (5*b^8*x^9*(189*B*a^2*e^2 + 11*B*b^2*d^2 + 42*A*a*b*e^2 + 6*A*b^2*d*e + 60*B*a*b*d*e))/(168*e^3) + (b^5*x^6*(1512*B*a^5*e^5 + 11*B*b^5*d^5 + 1260*A*a^4*b*e^5 + 6*A*b^5*d^4*e + 42*A*a*b^4*d^3*e^2 + 504*A*a^3*b^2*d*e^4 + 168*A*a^2*b^3*d^2*e^3 + 189*B*a^2*b^3*d^3*e^2 + 448*B*a^3*b^2*d^2*e^3 + 60*B*a*b^4*d^4*e + 882*B*a^4*b*d*e^4))/(66*e^6) + (5*b^2*x^3*(3861*B*a^8*e^8 + 11*B*b^8*d^8 + 10296*A*a^7*b*e^8 + 6*A*b^8*d^7*e + 42*A*a*b^7*d^6*e^2 + 5544*A*a^6*b^2*d*e^7 + 168*A*a^2*b^6*d^5*e^3 + 504*A*a^3*b^5*d^4*e^4 + 1260*A*a^4*b^4*d^3*e^5 + 2772*A*a^5*b^3*d^2*e^6 + 189*B*a^2*b^6*d^6*e^2 + 448*B*a^3*b^5*d^5*e^3 + 882*B*a^4*b^4*d^4*e^4 + 1512*B*a^5*b^3*d^3*e^5 + 2310*B*a^6*b^2*d^2*e^6 + 60*B*a*b^7*d^7*e + 3168*B*a^7*b*d*e^7))/(6006*e^9) + (B*b^10*x^11)/(6*e))/(d^17 + e^17*x^17 + 17*d*e^16*x^16 + 136*d^15*e^2*x^2 + 680*d^14*e^3*x^3 + 2380*d^13*e^4*x^4 + 6188*d^12*e^5*x^5 + 12376*d^11*e^6*x^6 + 19448*d^10*e^7*x^7 + 24310*d^9*e^8*x^8 + 24310*d^8*e^9*x^9 + 19448*d^7*e^10*x^10 + 12376*d^6*e^11*x^11 + 6188*d^5*e^12*x^12 + 2380*d^4*e^13*x^13 + 680*d^3*e^14*x^14 + 136*d^2*e^15*x^15 + 17*d^16*e*x)","B"
1107,1,2088,385,15.102124,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^19,x)","-\frac{\frac{8008\,B\,a^{10}\,d\,e^{10}+136136\,A\,a^{10}\,e^{11}+10010\,B\,a^9\,b\,d^2\,e^9+80080\,A\,a^9\,b\,d\,e^{10}+9009\,B\,a^8\,b^2\,d^3\,e^8+45045\,A\,a^8\,b^2\,d^2\,e^9+6864\,B\,a^7\,b^3\,d^4\,e^7+24024\,A\,a^7\,b^3\,d^3\,e^8+4620\,B\,a^6\,b^4\,d^5\,e^6+12012\,A\,a^6\,b^4\,d^4\,e^7+2772\,B\,a^5\,b^5\,d^6\,e^5+5544\,A\,a^5\,b^5\,d^5\,e^6+1470\,B\,a^4\,b^6\,d^7\,e^4+2310\,A\,a^4\,b^6\,d^6\,e^5+672\,B\,a^3\,b^7\,d^8\,e^3+840\,A\,a^3\,b^7\,d^7\,e^4+252\,B\,a^2\,b^8\,d^9\,e^2+252\,A\,a^2\,b^8\,d^8\,e^3+70\,B\,a\,b^9\,d^{10}\,e+56\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+7\,A\,b^{10}\,d^{10}\,e}{2450448\,e^{12}}+\frac{x\,\left(8008\,B\,a^{10}\,e^{10}+10010\,B\,a^9\,b\,d\,e^9+80080\,A\,a^9\,b\,e^{10}+9009\,B\,a^8\,b^2\,d^2\,e^8+45045\,A\,a^8\,b^2\,d\,e^9+6864\,B\,a^7\,b^3\,d^3\,e^7+24024\,A\,a^7\,b^3\,d^2\,e^8+4620\,B\,a^6\,b^4\,d^4\,e^6+12012\,A\,a^6\,b^4\,d^3\,e^7+2772\,B\,a^5\,b^5\,d^5\,e^5+5544\,A\,a^5\,b^5\,d^4\,e^6+1470\,B\,a^4\,b^6\,d^6\,e^4+2310\,A\,a^4\,b^6\,d^5\,e^5+672\,B\,a^3\,b^7\,d^7\,e^3+840\,A\,a^3\,b^7\,d^6\,e^4+252\,B\,a^2\,b^8\,d^8\,e^2+252\,A\,a^2\,b^8\,d^7\,e^3+70\,B\,a\,b^9\,d^9\,e+56\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+7\,A\,b^{10}\,d^9\,e\right)}{136136\,e^{11}}+\frac{b^7\,x^8\,\left(672\,B\,a^3\,e^3+252\,B\,a^2\,b\,d\,e^2+252\,A\,a^2\,b\,e^3+70\,B\,a\,b^2\,d^2\,e+56\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+7\,A\,b^3\,d^2\,e\right)}{56\,e^4}+\frac{b^4\,x^5\,\left(4620\,B\,a^6\,e^6+2772\,B\,a^5\,b\,d\,e^5+5544\,A\,a^5\,b\,e^6+1470\,B\,a^4\,b^2\,d^2\,e^4+2310\,A\,a^4\,b^2\,d\,e^5+672\,B\,a^3\,b^3\,d^3\,e^3+840\,A\,a^3\,b^3\,d^2\,e^4+252\,B\,a^2\,b^4\,d^4\,e^2+252\,A\,a^2\,b^4\,d^3\,e^3+70\,B\,a\,b^5\,d^5\,e+56\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+7\,A\,b^6\,d^5\,e\right)}{286\,e^7}+\frac{b^9\,x^{10}\,\left(7\,A\,b\,e+70\,B\,a\,e+11\,B\,b\,d\right)}{56\,e^2}+\frac{b^6\,x^7\,\left(1470\,B\,a^4\,e^4+672\,B\,a^3\,b\,d\,e^3+840\,A\,a^3\,b\,e^4+252\,B\,a^2\,b^2\,d^2\,e^2+252\,A\,a^2\,b^2\,d\,e^3+70\,B\,a\,b^3\,d^3\,e+56\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+7\,A\,b^4\,d^3\,e\right)}{77\,e^5}+\frac{5\,b^3\,x^4\,\left(6864\,B\,a^7\,e^7+4620\,B\,a^6\,b\,d\,e^6+12012\,A\,a^6\,b\,e^7+2772\,B\,a^5\,b^2\,d^2\,e^5+5544\,A\,a^5\,b^2\,d\,e^6+1470\,B\,a^4\,b^3\,d^3\,e^4+2310\,A\,a^4\,b^3\,d^2\,e^5+672\,B\,a^3\,b^4\,d^4\,e^3+840\,A\,a^3\,b^4\,d^3\,e^4+252\,B\,a^2\,b^5\,d^5\,e^2+252\,A\,a^2\,b^5\,d^4\,e^3+70\,B\,a\,b^6\,d^6\,e+56\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+7\,A\,b^7\,d^6\,e\right)}{4004\,e^8}+\frac{b\,x^2\,\left(10010\,B\,a^9\,e^9+9009\,B\,a^8\,b\,d\,e^8+45045\,A\,a^8\,b\,e^9+6864\,B\,a^7\,b^2\,d^2\,e^7+24024\,A\,a^7\,b^2\,d\,e^8+4620\,B\,a^6\,b^3\,d^3\,e^6+12012\,A\,a^6\,b^3\,d^2\,e^7+2772\,B\,a^5\,b^4\,d^4\,e^5+5544\,A\,a^5\,b^4\,d^3\,e^6+1470\,B\,a^4\,b^5\,d^5\,e^4+2310\,A\,a^4\,b^5\,d^4\,e^5+672\,B\,a^3\,b^6\,d^6\,e^3+840\,A\,a^3\,b^6\,d^5\,e^4+252\,B\,a^2\,b^7\,d^7\,e^2+252\,A\,a^2\,b^7\,d^6\,e^3+70\,B\,a\,b^8\,d^8\,e+56\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+7\,A\,b^9\,d^8\,e\right)}{16016\,e^{10}}+\frac{5\,b^8\,x^9\,\left(252\,B\,a^2\,e^2+70\,B\,a\,b\,d\,e+56\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+7\,A\,b^2\,d\,e\right)}{252\,e^3}+\frac{b^5\,x^6\,\left(2772\,B\,a^5\,e^5+1470\,B\,a^4\,b\,d\,e^4+2310\,A\,a^4\,b\,e^5+672\,B\,a^3\,b^2\,d^2\,e^3+840\,A\,a^3\,b^2\,d\,e^4+252\,B\,a^2\,b^3\,d^3\,e^2+252\,A\,a^2\,b^3\,d^2\,e^3+70\,B\,a\,b^4\,d^4\,e+56\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+7\,A\,b^5\,d^4\,e\right)}{132\,e^6}+\frac{b^2\,x^3\,\left(9009\,B\,a^8\,e^8+6864\,B\,a^7\,b\,d\,e^7+24024\,A\,a^7\,b\,e^8+4620\,B\,a^6\,b^2\,d^2\,e^6+12012\,A\,a^6\,b^2\,d\,e^7+2772\,B\,a^5\,b^3\,d^3\,e^5+5544\,A\,a^5\,b^3\,d^2\,e^6+1470\,B\,a^4\,b^4\,d^4\,e^4+2310\,A\,a^4\,b^4\,d^3\,e^5+672\,B\,a^3\,b^5\,d^5\,e^3+840\,A\,a^3\,b^5\,d^4\,e^4+252\,B\,a^2\,b^6\,d^6\,e^2+252\,A\,a^2\,b^6\,d^5\,e^3+70\,B\,a\,b^7\,d^7\,e+56\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+7\,A\,b^8\,d^7\,e\right)}{3003\,e^9}+\frac{B\,b^{10}\,x^{11}}{7\,e}}{d^{18}+18\,d^{17}\,e\,x+153\,d^{16}\,e^2\,x^2+816\,d^{15}\,e^3\,x^3+3060\,d^{14}\,e^4\,x^4+8568\,d^{13}\,e^5\,x^5+18564\,d^{12}\,e^6\,x^6+31824\,d^{11}\,e^7\,x^7+43758\,d^{10}\,e^8\,x^8+48620\,d^9\,e^9\,x^9+43758\,d^8\,e^{10}\,x^{10}+31824\,d^7\,e^{11}\,x^{11}+18564\,d^6\,e^{12}\,x^{12}+8568\,d^5\,e^{13}\,x^{13}+3060\,d^4\,e^{14}\,x^{14}+816\,d^3\,e^{15}\,x^{15}+153\,d^2\,e^{16}\,x^{16}+18\,d\,e^{17}\,x^{17}+e^{18}\,x^{18}}","Not used",1,"-((136136*A*a^10*e^11 + 11*B*b^10*d^11 + 7*A*b^10*d^10*e + 8008*B*a^10*d*e^10 + 56*A*a*b^9*d^9*e^2 + 10010*B*a^9*b*d^2*e^9 + 252*A*a^2*b^8*d^8*e^3 + 840*A*a^3*b^7*d^7*e^4 + 2310*A*a^4*b^6*d^6*e^5 + 5544*A*a^5*b^5*d^5*e^6 + 12012*A*a^6*b^4*d^4*e^7 + 24024*A*a^7*b^3*d^3*e^8 + 45045*A*a^8*b^2*d^2*e^9 + 252*B*a^2*b^8*d^9*e^2 + 672*B*a^3*b^7*d^8*e^3 + 1470*B*a^4*b^6*d^7*e^4 + 2772*B*a^5*b^5*d^6*e^5 + 4620*B*a^6*b^4*d^5*e^6 + 6864*B*a^7*b^3*d^4*e^7 + 9009*B*a^8*b^2*d^3*e^8 + 80080*A*a^9*b*d*e^10 + 70*B*a*b^9*d^10*e)/(2450448*e^12) + (x*(8008*B*a^10*e^10 + 11*B*b^10*d^10 + 80080*A*a^9*b*e^10 + 7*A*b^10*d^9*e + 56*A*a*b^9*d^8*e^2 + 45045*A*a^8*b^2*d*e^9 + 252*A*a^2*b^8*d^7*e^3 + 840*A*a^3*b^7*d^6*e^4 + 2310*A*a^4*b^6*d^5*e^5 + 5544*A*a^5*b^5*d^4*e^6 + 12012*A*a^6*b^4*d^3*e^7 + 24024*A*a^7*b^3*d^2*e^8 + 252*B*a^2*b^8*d^8*e^2 + 672*B*a^3*b^7*d^7*e^3 + 1470*B*a^4*b^6*d^6*e^4 + 2772*B*a^5*b^5*d^5*e^5 + 4620*B*a^6*b^4*d^4*e^6 + 6864*B*a^7*b^3*d^3*e^7 + 9009*B*a^8*b^2*d^2*e^8 + 70*B*a*b^9*d^9*e + 10010*B*a^9*b*d*e^9))/(136136*e^11) + (b^7*x^8*(672*B*a^3*e^3 + 11*B*b^3*d^3 + 252*A*a^2*b*e^3 + 7*A*b^3*d^2*e + 56*A*a*b^2*d*e^2 + 70*B*a*b^2*d^2*e + 252*B*a^2*b*d*e^2))/(56*e^4) + (b^4*x^5*(4620*B*a^6*e^6 + 11*B*b^6*d^6 + 5544*A*a^5*b*e^6 + 7*A*b^6*d^5*e + 56*A*a*b^5*d^4*e^2 + 2310*A*a^4*b^2*d*e^5 + 252*A*a^2*b^4*d^3*e^3 + 840*A*a^3*b^3*d^2*e^4 + 252*B*a^2*b^4*d^4*e^2 + 672*B*a^3*b^3*d^3*e^3 + 1470*B*a^4*b^2*d^2*e^4 + 70*B*a*b^5*d^5*e + 2772*B*a^5*b*d*e^5))/(286*e^7) + (b^9*x^10*(7*A*b*e + 70*B*a*e + 11*B*b*d))/(56*e^2) + (b^6*x^7*(1470*B*a^4*e^4 + 11*B*b^4*d^4 + 840*A*a^3*b*e^4 + 7*A*b^4*d^3*e + 56*A*a*b^3*d^2*e^2 + 252*A*a^2*b^2*d*e^3 + 252*B*a^2*b^2*d^2*e^2 + 70*B*a*b^3*d^3*e + 672*B*a^3*b*d*e^3))/(77*e^5) + (5*b^3*x^4*(6864*B*a^7*e^7 + 11*B*b^7*d^7 + 12012*A*a^6*b*e^7 + 7*A*b^7*d^6*e + 56*A*a*b^6*d^5*e^2 + 5544*A*a^5*b^2*d*e^6 + 252*A*a^2*b^5*d^4*e^3 + 840*A*a^3*b^4*d^3*e^4 + 2310*A*a^4*b^3*d^2*e^5 + 252*B*a^2*b^5*d^5*e^2 + 672*B*a^3*b^4*d^4*e^3 + 1470*B*a^4*b^3*d^3*e^4 + 2772*B*a^5*b^2*d^2*e^5 + 70*B*a*b^6*d^6*e + 4620*B*a^6*b*d*e^6))/(4004*e^8) + (b*x^2*(10010*B*a^9*e^9 + 11*B*b^9*d^9 + 45045*A*a^8*b*e^9 + 7*A*b^9*d^8*e + 56*A*a*b^8*d^7*e^2 + 24024*A*a^7*b^2*d*e^8 + 252*A*a^2*b^7*d^6*e^3 + 840*A*a^3*b^6*d^5*e^4 + 2310*A*a^4*b^5*d^4*e^5 + 5544*A*a^5*b^4*d^3*e^6 + 12012*A*a^6*b^3*d^2*e^7 + 252*B*a^2*b^7*d^7*e^2 + 672*B*a^3*b^6*d^6*e^3 + 1470*B*a^4*b^5*d^5*e^4 + 2772*B*a^5*b^4*d^4*e^5 + 4620*B*a^6*b^3*d^3*e^6 + 6864*B*a^7*b^2*d^2*e^7 + 70*B*a*b^8*d^8*e + 9009*B*a^8*b*d*e^8))/(16016*e^10) + (5*b^8*x^9*(252*B*a^2*e^2 + 11*B*b^2*d^2 + 56*A*a*b*e^2 + 7*A*b^2*d*e + 70*B*a*b*d*e))/(252*e^3) + (b^5*x^6*(2772*B*a^5*e^5 + 11*B*b^5*d^5 + 2310*A*a^4*b*e^5 + 7*A*b^5*d^4*e + 56*A*a*b^4*d^3*e^2 + 840*A*a^3*b^2*d*e^4 + 252*A*a^2*b^3*d^2*e^3 + 252*B*a^2*b^3*d^3*e^2 + 672*B*a^3*b^2*d^2*e^3 + 70*B*a*b^4*d^4*e + 1470*B*a^4*b*d*e^4))/(132*e^6) + (b^2*x^3*(9009*B*a^8*e^8 + 11*B*b^8*d^8 + 24024*A*a^7*b*e^8 + 7*A*b^8*d^7*e + 56*A*a*b^7*d^6*e^2 + 12012*A*a^6*b^2*d*e^7 + 252*A*a^2*b^6*d^5*e^3 + 840*A*a^3*b^5*d^4*e^4 + 2310*A*a^4*b^4*d^3*e^5 + 5544*A*a^5*b^3*d^2*e^6 + 252*B*a^2*b^6*d^6*e^2 + 672*B*a^3*b^5*d^5*e^3 + 1470*B*a^4*b^4*d^4*e^4 + 2772*B*a^5*b^3*d^3*e^5 + 4620*B*a^6*b^2*d^2*e^6 + 70*B*a*b^7*d^7*e + 6864*B*a^7*b*d*e^7))/(3003*e^9) + (B*b^10*x^11)/(7*e))/(d^18 + e^18*x^18 + 18*d*e^17*x^17 + 153*d^16*e^2*x^2 + 816*d^15*e^3*x^3 + 3060*d^14*e^4*x^4 + 8568*d^13*e^5*x^5 + 18564*d^12*e^6*x^6 + 31824*d^11*e^7*x^7 + 43758*d^10*e^8*x^8 + 48620*d^9*e^9*x^9 + 43758*d^8*e^10*x^10 + 31824*d^7*e^11*x^11 + 18564*d^6*e^12*x^12 + 8568*d^5*e^13*x^13 + 3060*d^4*e^14*x^14 + 816*d^3*e^15*x^15 + 153*d^2*e^16*x^16 + 18*d^17*e*x)","B"
1108,1,2099,460,28.180833,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^20,x)","-\frac{\frac{19448\,B\,a^{10}\,d\,e^{10}+350064\,A\,a^{10}\,e^{11}+22880\,B\,a^9\,b\,d^2\,e^9+194480\,A\,a^9\,b\,d\,e^{10}+19305\,B\,a^8\,b^2\,d^3\,e^8+102960\,A\,a^8\,b^2\,d^2\,e^9+13728\,B\,a^7\,b^3\,d^4\,e^7+51480\,A\,a^7\,b^3\,d^3\,e^8+8580\,B\,a^6\,b^4\,d^5\,e^6+24024\,A\,a^6\,b^4\,d^4\,e^7+4752\,B\,a^5\,b^5\,d^6\,e^5+10296\,A\,a^5\,b^5\,d^5\,e^6+2310\,B\,a^4\,b^6\,d^7\,e^4+3960\,A\,a^4\,b^6\,d^6\,e^5+960\,B\,a^3\,b^7\,d^8\,e^3+1320\,A\,a^3\,b^7\,d^7\,e^4+324\,B\,a^2\,b^8\,d^9\,e^2+360\,A\,a^2\,b^8\,d^8\,e^3+80\,B\,a\,b^9\,d^{10}\,e+72\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+8\,A\,b^{10}\,d^{10}\,e}{6651216\,e^{12}}+\frac{x\,\left(19448\,B\,a^{10}\,e^{10}+22880\,B\,a^9\,b\,d\,e^9+194480\,A\,a^9\,b\,e^{10}+19305\,B\,a^8\,b^2\,d^2\,e^8+102960\,A\,a^8\,b^2\,d\,e^9+13728\,B\,a^7\,b^3\,d^3\,e^7+51480\,A\,a^7\,b^3\,d^2\,e^8+8580\,B\,a^6\,b^4\,d^4\,e^6+24024\,A\,a^6\,b^4\,d^3\,e^7+4752\,B\,a^5\,b^5\,d^5\,e^5+10296\,A\,a^5\,b^5\,d^4\,e^6+2310\,B\,a^4\,b^6\,d^6\,e^4+3960\,A\,a^4\,b^6\,d^5\,e^5+960\,B\,a^3\,b^7\,d^7\,e^3+1320\,A\,a^3\,b^7\,d^6\,e^4+324\,B\,a^2\,b^8\,d^8\,e^2+360\,A\,a^2\,b^8\,d^7\,e^3+80\,B\,a\,b^9\,d^9\,e+72\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+8\,A\,b^{10}\,d^9\,e\right)}{350064\,e^{11}}+\frac{b^7\,x^8\,\left(960\,B\,a^3\,e^3+324\,B\,a^2\,b\,d\,e^2+360\,A\,a^2\,b\,e^3+80\,B\,a\,b^2\,d^2\,e+72\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+8\,A\,b^3\,d^2\,e\right)}{88\,e^4}+\frac{b^4\,x^5\,\left(8580\,B\,a^6\,e^6+4752\,B\,a^5\,b\,d\,e^5+10296\,A\,a^5\,b\,e^6+2310\,B\,a^4\,b^2\,d^2\,e^4+3960\,A\,a^4\,b^2\,d\,e^5+960\,B\,a^3\,b^3\,d^3\,e^3+1320\,A\,a^3\,b^3\,d^2\,e^4+324\,B\,a^2\,b^4\,d^4\,e^2+360\,A\,a^2\,b^4\,d^3\,e^3+80\,B\,a\,b^5\,d^5\,e+72\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+8\,A\,b^6\,d^5\,e\right)}{572\,e^7}+\frac{b^9\,x^{10}\,\left(8\,A\,b\,e+80\,B\,a\,e+11\,B\,b\,d\right)}{72\,e^2}+\frac{b^6\,x^7\,\left(2310\,B\,a^4\,e^4+960\,B\,a^3\,b\,d\,e^3+1320\,A\,a^3\,b\,e^4+324\,B\,a^2\,b^2\,d^2\,e^2+360\,A\,a^2\,b^2\,d\,e^3+80\,B\,a\,b^3\,d^3\,e+72\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+8\,A\,b^4\,d^3\,e\right)}{132\,e^5}+\frac{b^3\,x^4\,\left(13728\,B\,a^7\,e^7+8580\,B\,a^6\,b\,d\,e^6+24024\,A\,a^6\,b\,e^7+4752\,B\,a^5\,b^2\,d^2\,e^5+10296\,A\,a^5\,b^2\,d\,e^6+2310\,B\,a^4\,b^3\,d^3\,e^4+3960\,A\,a^4\,b^3\,d^2\,e^5+960\,B\,a^3\,b^4\,d^4\,e^3+1320\,A\,a^3\,b^4\,d^3\,e^4+324\,B\,a^2\,b^5\,d^5\,e^2+360\,A\,a^2\,b^5\,d^4\,e^3+80\,B\,a\,b^6\,d^6\,e+72\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+8\,A\,b^7\,d^6\,e\right)}{1716\,e^8}+\frac{b\,x^2\,\left(22880\,B\,a^9\,e^9+19305\,B\,a^8\,b\,d\,e^8+102960\,A\,a^8\,b\,e^9+13728\,B\,a^7\,b^2\,d^2\,e^7+51480\,A\,a^7\,b^2\,d\,e^8+8580\,B\,a^6\,b^3\,d^3\,e^6+24024\,A\,a^6\,b^3\,d^2\,e^7+4752\,B\,a^5\,b^4\,d^4\,e^5+10296\,A\,a^5\,b^4\,d^3\,e^6+2310\,B\,a^4\,b^5\,d^5\,e^4+3960\,A\,a^4\,b^5\,d^4\,e^5+960\,B\,a^3\,b^6\,d^6\,e^3+1320\,A\,a^3\,b^6\,d^5\,e^4+324\,B\,a^2\,b^7\,d^7\,e^2+360\,A\,a^2\,b^7\,d^6\,e^3+80\,B\,a\,b^8\,d^8\,e+72\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+8\,A\,b^9\,d^8\,e\right)}{38896\,e^{10}}+\frac{b^8\,x^9\,\left(324\,B\,a^2\,e^2+80\,B\,a\,b\,d\,e+72\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+8\,A\,b^2\,d\,e\right)}{72\,e^3}+\frac{7\,b^5\,x^6\,\left(4752\,B\,a^5\,e^5+2310\,B\,a^4\,b\,d\,e^4+3960\,A\,a^4\,b\,e^5+960\,B\,a^3\,b^2\,d^2\,e^3+1320\,A\,a^3\,b^2\,d\,e^4+324\,B\,a^2\,b^3\,d^3\,e^2+360\,A\,a^2\,b^3\,d^2\,e^3+80\,B\,a\,b^4\,d^4\,e+72\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+8\,A\,b^5\,d^4\,e\right)}{1716\,e^6}+\frac{b^2\,x^3\,\left(19305\,B\,a^8\,e^8+13728\,B\,a^7\,b\,d\,e^7+51480\,A\,a^7\,b\,e^8+8580\,B\,a^6\,b^2\,d^2\,e^6+24024\,A\,a^6\,b^2\,d\,e^7+4752\,B\,a^5\,b^3\,d^3\,e^5+10296\,A\,a^5\,b^3\,d^2\,e^6+2310\,B\,a^4\,b^4\,d^4\,e^4+3960\,A\,a^4\,b^4\,d^3\,e^5+960\,B\,a^3\,b^5\,d^5\,e^3+1320\,A\,a^3\,b^5\,d^4\,e^4+324\,B\,a^2\,b^6\,d^6\,e^2+360\,A\,a^2\,b^6\,d^5\,e^3+80\,B\,a\,b^7\,d^7\,e+72\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+8\,A\,b^8\,d^7\,e\right)}{6864\,e^9}+\frac{B\,b^{10}\,x^{11}}{8\,e}}{d^{19}+19\,d^{18}\,e\,x+171\,d^{17}\,e^2\,x^2+969\,d^{16}\,e^3\,x^3+3876\,d^{15}\,e^4\,x^4+11628\,d^{14}\,e^5\,x^5+27132\,d^{13}\,e^6\,x^6+50388\,d^{12}\,e^7\,x^7+75582\,d^{11}\,e^8\,x^8+92378\,d^{10}\,e^9\,x^9+92378\,d^9\,e^{10}\,x^{10}+75582\,d^8\,e^{11}\,x^{11}+50388\,d^7\,e^{12}\,x^{12}+27132\,d^6\,e^{13}\,x^{13}+11628\,d^5\,e^{14}\,x^{14}+3876\,d^4\,e^{15}\,x^{15}+969\,d^3\,e^{16}\,x^{16}+171\,d^2\,e^{17}\,x^{17}+19\,d\,e^{18}\,x^{18}+e^{19}\,x^{19}}","Not used",1,"-((350064*A*a^10*e^11 + 11*B*b^10*d^11 + 8*A*b^10*d^10*e + 19448*B*a^10*d*e^10 + 72*A*a*b^9*d^9*e^2 + 22880*B*a^9*b*d^2*e^9 + 360*A*a^2*b^8*d^8*e^3 + 1320*A*a^3*b^7*d^7*e^4 + 3960*A*a^4*b^6*d^6*e^5 + 10296*A*a^5*b^5*d^5*e^6 + 24024*A*a^6*b^4*d^4*e^7 + 51480*A*a^7*b^3*d^3*e^8 + 102960*A*a^8*b^2*d^2*e^9 + 324*B*a^2*b^8*d^9*e^2 + 960*B*a^3*b^7*d^8*e^3 + 2310*B*a^4*b^6*d^7*e^4 + 4752*B*a^5*b^5*d^6*e^5 + 8580*B*a^6*b^4*d^5*e^6 + 13728*B*a^7*b^3*d^4*e^7 + 19305*B*a^8*b^2*d^3*e^8 + 194480*A*a^9*b*d*e^10 + 80*B*a*b^9*d^10*e)/(6651216*e^12) + (x*(19448*B*a^10*e^10 + 11*B*b^10*d^10 + 194480*A*a^9*b*e^10 + 8*A*b^10*d^9*e + 72*A*a*b^9*d^8*e^2 + 102960*A*a^8*b^2*d*e^9 + 360*A*a^2*b^8*d^7*e^3 + 1320*A*a^3*b^7*d^6*e^4 + 3960*A*a^4*b^6*d^5*e^5 + 10296*A*a^5*b^5*d^4*e^6 + 24024*A*a^6*b^4*d^3*e^7 + 51480*A*a^7*b^3*d^2*e^8 + 324*B*a^2*b^8*d^8*e^2 + 960*B*a^3*b^7*d^7*e^3 + 2310*B*a^4*b^6*d^6*e^4 + 4752*B*a^5*b^5*d^5*e^5 + 8580*B*a^6*b^4*d^4*e^6 + 13728*B*a^7*b^3*d^3*e^7 + 19305*B*a^8*b^2*d^2*e^8 + 80*B*a*b^9*d^9*e + 22880*B*a^9*b*d*e^9))/(350064*e^11) + (b^7*x^8*(960*B*a^3*e^3 + 11*B*b^3*d^3 + 360*A*a^2*b*e^3 + 8*A*b^3*d^2*e + 72*A*a*b^2*d*e^2 + 80*B*a*b^2*d^2*e + 324*B*a^2*b*d*e^2))/(88*e^4) + (b^4*x^5*(8580*B*a^6*e^6 + 11*B*b^6*d^6 + 10296*A*a^5*b*e^6 + 8*A*b^6*d^5*e + 72*A*a*b^5*d^4*e^2 + 3960*A*a^4*b^2*d*e^5 + 360*A*a^2*b^4*d^3*e^3 + 1320*A*a^3*b^3*d^2*e^4 + 324*B*a^2*b^4*d^4*e^2 + 960*B*a^3*b^3*d^3*e^3 + 2310*B*a^4*b^2*d^2*e^4 + 80*B*a*b^5*d^5*e + 4752*B*a^5*b*d*e^5))/(572*e^7) + (b^9*x^10*(8*A*b*e + 80*B*a*e + 11*B*b*d))/(72*e^2) + (b^6*x^7*(2310*B*a^4*e^4 + 11*B*b^4*d^4 + 1320*A*a^3*b*e^4 + 8*A*b^4*d^3*e + 72*A*a*b^3*d^2*e^2 + 360*A*a^2*b^2*d*e^3 + 324*B*a^2*b^2*d^2*e^2 + 80*B*a*b^3*d^3*e + 960*B*a^3*b*d*e^3))/(132*e^5) + (b^3*x^4*(13728*B*a^7*e^7 + 11*B*b^7*d^7 + 24024*A*a^6*b*e^7 + 8*A*b^7*d^6*e + 72*A*a*b^6*d^5*e^2 + 10296*A*a^5*b^2*d*e^6 + 360*A*a^2*b^5*d^4*e^3 + 1320*A*a^3*b^4*d^3*e^4 + 3960*A*a^4*b^3*d^2*e^5 + 324*B*a^2*b^5*d^5*e^2 + 960*B*a^3*b^4*d^4*e^3 + 2310*B*a^4*b^3*d^3*e^4 + 4752*B*a^5*b^2*d^2*e^5 + 80*B*a*b^6*d^6*e + 8580*B*a^6*b*d*e^6))/(1716*e^8) + (b*x^2*(22880*B*a^9*e^9 + 11*B*b^9*d^9 + 102960*A*a^8*b*e^9 + 8*A*b^9*d^8*e + 72*A*a*b^8*d^7*e^2 + 51480*A*a^7*b^2*d*e^8 + 360*A*a^2*b^7*d^6*e^3 + 1320*A*a^3*b^6*d^5*e^4 + 3960*A*a^4*b^5*d^4*e^5 + 10296*A*a^5*b^4*d^3*e^6 + 24024*A*a^6*b^3*d^2*e^7 + 324*B*a^2*b^7*d^7*e^2 + 960*B*a^3*b^6*d^6*e^3 + 2310*B*a^4*b^5*d^5*e^4 + 4752*B*a^5*b^4*d^4*e^5 + 8580*B*a^6*b^3*d^3*e^6 + 13728*B*a^7*b^2*d^2*e^7 + 80*B*a*b^8*d^8*e + 19305*B*a^8*b*d*e^8))/(38896*e^10) + (b^8*x^9*(324*B*a^2*e^2 + 11*B*b^2*d^2 + 72*A*a*b*e^2 + 8*A*b^2*d*e + 80*B*a*b*d*e))/(72*e^3) + (7*b^5*x^6*(4752*B*a^5*e^5 + 11*B*b^5*d^5 + 3960*A*a^4*b*e^5 + 8*A*b^5*d^4*e + 72*A*a*b^4*d^3*e^2 + 1320*A*a^3*b^2*d*e^4 + 360*A*a^2*b^3*d^2*e^3 + 324*B*a^2*b^3*d^3*e^2 + 960*B*a^3*b^2*d^2*e^3 + 80*B*a*b^4*d^4*e + 2310*B*a^4*b*d*e^4))/(1716*e^6) + (b^2*x^3*(19305*B*a^8*e^8 + 11*B*b^8*d^8 + 51480*A*a^7*b*e^8 + 8*A*b^8*d^7*e + 72*A*a*b^7*d^6*e^2 + 24024*A*a^6*b^2*d*e^7 + 360*A*a^2*b^6*d^5*e^3 + 1320*A*a^3*b^5*d^4*e^4 + 3960*A*a^4*b^4*d^3*e^5 + 10296*A*a^5*b^3*d^2*e^6 + 324*B*a^2*b^6*d^6*e^2 + 960*B*a^3*b^5*d^5*e^3 + 2310*B*a^4*b^4*d^4*e^4 + 4752*B*a^5*b^3*d^3*e^5 + 8580*B*a^6*b^2*d^2*e^6 + 80*B*a*b^7*d^7*e + 13728*B*a^7*b*d*e^7))/(6864*e^9) + (B*b^10*x^11)/(8*e))/(d^19 + e^19*x^19 + 19*d*e^18*x^18 + 171*d^17*e^2*x^2 + 969*d^16*e^3*x^3 + 3876*d^15*e^4*x^4 + 11628*d^14*e^5*x^5 + 27132*d^13*e^6*x^6 + 50388*d^12*e^7*x^7 + 75582*d^11*e^8*x^8 + 92378*d^10*e^9*x^9 + 92378*d^9*e^10*x^10 + 75582*d^8*e^11*x^11 + 50388*d^7*e^12*x^12 + 27132*d^6*e^13*x^13 + 11628*d^5*e^14*x^14 + 3876*d^4*e^15*x^15 + 969*d^3*e^16*x^16 + 171*d^2*e^17*x^17 + 19*d^18*e*x)","B"
1109,1,2110,462,1.910619,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^21,x)","-\frac{\frac{43758\,B\,a^{10}\,d\,e^{10}+831402\,A\,a^{10}\,e^{11}+48620\,B\,a^9\,b\,d^2\,e^9+437580\,A\,a^9\,b\,d\,e^{10}+38610\,B\,a^8\,b^2\,d^3\,e^8+218790\,A\,a^8\,b^2\,d^2\,e^9+25740\,B\,a^7\,b^3\,d^4\,e^7+102960\,A\,a^7\,b^3\,d^3\,e^8+15015\,B\,a^6\,b^4\,d^5\,e^6+45045\,A\,a^6\,b^4\,d^4\,e^7+7722\,B\,a^5\,b^5\,d^6\,e^5+18018\,A\,a^5\,b^5\,d^5\,e^6+3465\,B\,a^4\,b^6\,d^7\,e^4+6435\,A\,a^4\,b^6\,d^6\,e^5+1320\,B\,a^3\,b^7\,d^8\,e^3+1980\,A\,a^3\,b^7\,d^7\,e^4+405\,B\,a^2\,b^8\,d^9\,e^2+495\,A\,a^2\,b^8\,d^8\,e^3+90\,B\,a\,b^9\,d^{10}\,e+90\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+9\,A\,b^{10}\,d^{10}\,e}{16628040\,e^{12}}+\frac{x\,\left(43758\,B\,a^{10}\,e^{10}+48620\,B\,a^9\,b\,d\,e^9+437580\,A\,a^9\,b\,e^{10}+38610\,B\,a^8\,b^2\,d^2\,e^8+218790\,A\,a^8\,b^2\,d\,e^9+25740\,B\,a^7\,b^3\,d^3\,e^7+102960\,A\,a^7\,b^3\,d^2\,e^8+15015\,B\,a^6\,b^4\,d^4\,e^6+45045\,A\,a^6\,b^4\,d^3\,e^7+7722\,B\,a^5\,b^5\,d^5\,e^5+18018\,A\,a^5\,b^5\,d^4\,e^6+3465\,B\,a^4\,b^6\,d^6\,e^4+6435\,A\,a^4\,b^6\,d^5\,e^5+1320\,B\,a^3\,b^7\,d^7\,e^3+1980\,A\,a^3\,b^7\,d^6\,e^4+405\,B\,a^2\,b^8\,d^8\,e^2+495\,A\,a^2\,b^8\,d^7\,e^3+90\,B\,a\,b^9\,d^9\,e+90\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+9\,A\,b^{10}\,d^9\,e\right)}{831402\,e^{11}}+\frac{b^7\,x^8\,\left(1320\,B\,a^3\,e^3+405\,B\,a^2\,b\,d\,e^2+495\,A\,a^2\,b\,e^3+90\,B\,a\,b^2\,d^2\,e+90\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+9\,A\,b^3\,d^2\,e\right)}{132\,e^4}+\frac{2\,b^4\,x^5\,\left(15015\,B\,a^6\,e^6+7722\,B\,a^5\,b\,d\,e^5+18018\,A\,a^5\,b\,e^6+3465\,B\,a^4\,b^2\,d^2\,e^4+6435\,A\,a^4\,b^2\,d\,e^5+1320\,B\,a^3\,b^3\,d^3\,e^3+1980\,A\,a^3\,b^3\,d^2\,e^4+405\,B\,a^2\,b^4\,d^4\,e^2+495\,A\,a^2\,b^4\,d^3\,e^3+90\,B\,a\,b^5\,d^5\,e+90\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+9\,A\,b^6\,d^5\,e\right)}{2145\,e^7}+\frac{b^9\,x^{10}\,\left(9\,A\,b\,e+90\,B\,a\,e+11\,B\,b\,d\right)}{90\,e^2}+\frac{2\,b^6\,x^7\,\left(3465\,B\,a^4\,e^4+1320\,B\,a^3\,b\,d\,e^3+1980\,A\,a^3\,b\,e^4+405\,B\,a^2\,b^2\,d^2\,e^2+495\,A\,a^2\,b^2\,d\,e^3+90\,B\,a\,b^3\,d^3\,e+90\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+9\,A\,b^4\,d^3\,e\right)}{429\,e^5}+\frac{b^3\,x^4\,\left(25740\,B\,a^7\,e^7+15015\,B\,a^6\,b\,d\,e^6+45045\,A\,a^6\,b\,e^7+7722\,B\,a^5\,b^2\,d^2\,e^5+18018\,A\,a^5\,b^2\,d\,e^6+3465\,B\,a^4\,b^3\,d^3\,e^4+6435\,A\,a^4\,b^3\,d^2\,e^5+1320\,B\,a^3\,b^4\,d^4\,e^3+1980\,A\,a^3\,b^4\,d^3\,e^4+405\,B\,a^2\,b^5\,d^5\,e^2+495\,A\,a^2\,b^5\,d^4\,e^3+90\,B\,a\,b^6\,d^6\,e+90\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+9\,A\,b^7\,d^6\,e\right)}{3432\,e^8}+\frac{b\,x^2\,\left(48620\,B\,a^9\,e^9+38610\,B\,a^8\,b\,d\,e^8+218790\,A\,a^8\,b\,e^9+25740\,B\,a^7\,b^2\,d^2\,e^7+102960\,A\,a^7\,b^2\,d\,e^8+15015\,B\,a^6\,b^3\,d^3\,e^6+45045\,A\,a^6\,b^3\,d^2\,e^7+7722\,B\,a^5\,b^4\,d^4\,e^5+18018\,A\,a^5\,b^4\,d^3\,e^6+3465\,B\,a^4\,b^5\,d^5\,e^4+6435\,A\,a^4\,b^5\,d^4\,e^5+1320\,B\,a^3\,b^6\,d^6\,e^3+1980\,A\,a^3\,b^6\,d^5\,e^4+405\,B\,a^2\,b^7\,d^7\,e^2+495\,A\,a^2\,b^7\,d^6\,e^3+90\,B\,a\,b^8\,d^8\,e+90\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+9\,A\,b^9\,d^8\,e\right)}{87516\,e^{10}}+\frac{b^8\,x^9\,\left(405\,B\,a^2\,e^2+90\,B\,a\,b\,d\,e+90\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+9\,A\,b^2\,d\,e\right)}{99\,e^3}+\frac{b^5\,x^6\,\left(7722\,B\,a^5\,e^5+3465\,B\,a^4\,b\,d\,e^4+6435\,A\,a^4\,b\,e^5+1320\,B\,a^3\,b^2\,d^2\,e^3+1980\,A\,a^3\,b^2\,d\,e^4+405\,B\,a^2\,b^3\,d^3\,e^2+495\,A\,a^2\,b^3\,d^2\,e^3+90\,B\,a\,b^4\,d^4\,e+90\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+9\,A\,b^5\,d^4\,e\right)}{429\,e^6}+\frac{b^2\,x^3\,\left(38610\,B\,a^8\,e^8+25740\,B\,a^7\,b\,d\,e^7+102960\,A\,a^7\,b\,e^8+15015\,B\,a^6\,b^2\,d^2\,e^6+45045\,A\,a^6\,b^2\,d\,e^7+7722\,B\,a^5\,b^3\,d^3\,e^5+18018\,A\,a^5\,b^3\,d^2\,e^6+3465\,B\,a^4\,b^4\,d^4\,e^4+6435\,A\,a^4\,b^4\,d^3\,e^5+1320\,B\,a^3\,b^5\,d^5\,e^3+1980\,A\,a^3\,b^5\,d^4\,e^4+405\,B\,a^2\,b^6\,d^6\,e^2+495\,A\,a^2\,b^6\,d^5\,e^3+90\,B\,a\,b^7\,d^7\,e+90\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+9\,A\,b^8\,d^7\,e\right)}{14586\,e^9}+\frac{B\,b^{10}\,x^{11}}{9\,e}}{d^{20}+20\,d^{19}\,e\,x+190\,d^{18}\,e^2\,x^2+1140\,d^{17}\,e^3\,x^3+4845\,d^{16}\,e^4\,x^4+15504\,d^{15}\,e^5\,x^5+38760\,d^{14}\,e^6\,x^6+77520\,d^{13}\,e^7\,x^7+125970\,d^{12}\,e^8\,x^8+167960\,d^{11}\,e^9\,x^9+184756\,d^{10}\,e^{10}\,x^{10}+167960\,d^9\,e^{11}\,x^{11}+125970\,d^8\,e^{12}\,x^{12}+77520\,d^7\,e^{13}\,x^{13}+38760\,d^6\,e^{14}\,x^{14}+15504\,d^5\,e^{15}\,x^{15}+4845\,d^4\,e^{16}\,x^{16}+1140\,d^3\,e^{17}\,x^{17}+190\,d^2\,e^{18}\,x^{18}+20\,d\,e^{19}\,x^{19}+e^{20}\,x^{20}}","Not used",1,"-((831402*A*a^10*e^11 + 11*B*b^10*d^11 + 9*A*b^10*d^10*e + 43758*B*a^10*d*e^10 + 90*A*a*b^9*d^9*e^2 + 48620*B*a^9*b*d^2*e^9 + 495*A*a^2*b^8*d^8*e^3 + 1980*A*a^3*b^7*d^7*e^4 + 6435*A*a^4*b^6*d^6*e^5 + 18018*A*a^5*b^5*d^5*e^6 + 45045*A*a^6*b^4*d^4*e^7 + 102960*A*a^7*b^3*d^3*e^8 + 218790*A*a^8*b^2*d^2*e^9 + 405*B*a^2*b^8*d^9*e^2 + 1320*B*a^3*b^7*d^8*e^3 + 3465*B*a^4*b^6*d^7*e^4 + 7722*B*a^5*b^5*d^6*e^5 + 15015*B*a^6*b^4*d^5*e^6 + 25740*B*a^7*b^3*d^4*e^7 + 38610*B*a^8*b^2*d^3*e^8 + 437580*A*a^9*b*d*e^10 + 90*B*a*b^9*d^10*e)/(16628040*e^12) + (x*(43758*B*a^10*e^10 + 11*B*b^10*d^10 + 437580*A*a^9*b*e^10 + 9*A*b^10*d^9*e + 90*A*a*b^9*d^8*e^2 + 218790*A*a^8*b^2*d*e^9 + 495*A*a^2*b^8*d^7*e^3 + 1980*A*a^3*b^7*d^6*e^4 + 6435*A*a^4*b^6*d^5*e^5 + 18018*A*a^5*b^5*d^4*e^6 + 45045*A*a^6*b^4*d^3*e^7 + 102960*A*a^7*b^3*d^2*e^8 + 405*B*a^2*b^8*d^8*e^2 + 1320*B*a^3*b^7*d^7*e^3 + 3465*B*a^4*b^6*d^6*e^4 + 7722*B*a^5*b^5*d^5*e^5 + 15015*B*a^6*b^4*d^4*e^6 + 25740*B*a^7*b^3*d^3*e^7 + 38610*B*a^8*b^2*d^2*e^8 + 90*B*a*b^9*d^9*e + 48620*B*a^9*b*d*e^9))/(831402*e^11) + (b^7*x^8*(1320*B*a^3*e^3 + 11*B*b^3*d^3 + 495*A*a^2*b*e^3 + 9*A*b^3*d^2*e + 90*A*a*b^2*d*e^2 + 90*B*a*b^2*d^2*e + 405*B*a^2*b*d*e^2))/(132*e^4) + (2*b^4*x^5*(15015*B*a^6*e^6 + 11*B*b^6*d^6 + 18018*A*a^5*b*e^6 + 9*A*b^6*d^5*e + 90*A*a*b^5*d^4*e^2 + 6435*A*a^4*b^2*d*e^5 + 495*A*a^2*b^4*d^3*e^3 + 1980*A*a^3*b^3*d^2*e^4 + 405*B*a^2*b^4*d^4*e^2 + 1320*B*a^3*b^3*d^3*e^3 + 3465*B*a^4*b^2*d^2*e^4 + 90*B*a*b^5*d^5*e + 7722*B*a^5*b*d*e^5))/(2145*e^7) + (b^9*x^10*(9*A*b*e + 90*B*a*e + 11*B*b*d))/(90*e^2) + (2*b^6*x^7*(3465*B*a^4*e^4 + 11*B*b^4*d^4 + 1980*A*a^3*b*e^4 + 9*A*b^4*d^3*e + 90*A*a*b^3*d^2*e^2 + 495*A*a^2*b^2*d*e^3 + 405*B*a^2*b^2*d^2*e^2 + 90*B*a*b^3*d^3*e + 1320*B*a^3*b*d*e^3))/(429*e^5) + (b^3*x^4*(25740*B*a^7*e^7 + 11*B*b^7*d^7 + 45045*A*a^6*b*e^7 + 9*A*b^7*d^6*e + 90*A*a*b^6*d^5*e^2 + 18018*A*a^5*b^2*d*e^6 + 495*A*a^2*b^5*d^4*e^3 + 1980*A*a^3*b^4*d^3*e^4 + 6435*A*a^4*b^3*d^2*e^5 + 405*B*a^2*b^5*d^5*e^2 + 1320*B*a^3*b^4*d^4*e^3 + 3465*B*a^4*b^3*d^3*e^4 + 7722*B*a^5*b^2*d^2*e^5 + 90*B*a*b^6*d^6*e + 15015*B*a^6*b*d*e^6))/(3432*e^8) + (b*x^2*(48620*B*a^9*e^9 + 11*B*b^9*d^9 + 218790*A*a^8*b*e^9 + 9*A*b^9*d^8*e + 90*A*a*b^8*d^7*e^2 + 102960*A*a^7*b^2*d*e^8 + 495*A*a^2*b^7*d^6*e^3 + 1980*A*a^3*b^6*d^5*e^4 + 6435*A*a^4*b^5*d^4*e^5 + 18018*A*a^5*b^4*d^3*e^6 + 45045*A*a^6*b^3*d^2*e^7 + 405*B*a^2*b^7*d^7*e^2 + 1320*B*a^3*b^6*d^6*e^3 + 3465*B*a^4*b^5*d^5*e^4 + 7722*B*a^5*b^4*d^4*e^5 + 15015*B*a^6*b^3*d^3*e^6 + 25740*B*a^7*b^2*d^2*e^7 + 90*B*a*b^8*d^8*e + 38610*B*a^8*b*d*e^8))/(87516*e^10) + (b^8*x^9*(405*B*a^2*e^2 + 11*B*b^2*d^2 + 90*A*a*b*e^2 + 9*A*b^2*d*e + 90*B*a*b*d*e))/(99*e^3) + (b^5*x^6*(7722*B*a^5*e^5 + 11*B*b^5*d^5 + 6435*A*a^4*b*e^5 + 9*A*b^5*d^4*e + 90*A*a*b^4*d^3*e^2 + 1980*A*a^3*b^2*d*e^4 + 495*A*a^2*b^3*d^2*e^3 + 405*B*a^2*b^3*d^3*e^2 + 1320*B*a^3*b^2*d^2*e^3 + 90*B*a*b^4*d^4*e + 3465*B*a^4*b*d*e^4))/(429*e^6) + (b^2*x^3*(38610*B*a^8*e^8 + 11*B*b^8*d^8 + 102960*A*a^7*b*e^8 + 9*A*b^8*d^7*e + 90*A*a*b^7*d^6*e^2 + 45045*A*a^6*b^2*d*e^7 + 495*A*a^2*b^6*d^5*e^3 + 1980*A*a^3*b^5*d^4*e^4 + 6435*A*a^4*b^4*d^3*e^5 + 18018*A*a^5*b^3*d^2*e^6 + 405*B*a^2*b^6*d^6*e^2 + 1320*B*a^3*b^5*d^5*e^3 + 3465*B*a^4*b^4*d^4*e^4 + 7722*B*a^5*b^3*d^3*e^5 + 15015*B*a^6*b^2*d^2*e^6 + 90*B*a*b^7*d^7*e + 25740*B*a^7*b*d*e^7))/(14586*e^9) + (B*b^10*x^11)/(9*e))/(d^20 + e^20*x^20 + 20*d*e^19*x^19 + 190*d^18*e^2*x^2 + 1140*d^17*e^3*x^3 + 4845*d^16*e^4*x^4 + 15504*d^15*e^5*x^5 + 38760*d^14*e^6*x^6 + 77520*d^13*e^7*x^7 + 125970*d^12*e^8*x^8 + 167960*d^11*e^9*x^9 + 184756*d^10*e^10*x^10 + 167960*d^9*e^11*x^11 + 125970*d^8*e^12*x^12 + 77520*d^7*e^13*x^13 + 38760*d^6*e^14*x^14 + 15504*d^5*e^15*x^15 + 4845*d^4*e^16*x^16 + 1140*d^3*e^17*x^17 + 190*d^2*e^18*x^18 + 20*d^19*e*x)","B"
1110,1,2121,464,2.124311,"\text{Not used}","int(((A + B*x)*(a + b*x)^10)/(d + e*x)^22,x)","-\frac{\frac{92378\,B\,a^{10}\,d\,e^{10}+1847560\,A\,a^{10}\,e^{11}+97240\,B\,a^9\,b\,d^2\,e^9+923780\,A\,a^9\,b\,d\,e^{10}+72930\,B\,a^8\,b^2\,d^3\,e^8+437580\,A\,a^8\,b^2\,d^2\,e^9+45760\,B\,a^7\,b^3\,d^4\,e^7+194480\,A\,a^7\,b^3\,d^3\,e^8+25025\,B\,a^6\,b^4\,d^5\,e^6+80080\,A\,a^6\,b^4\,d^4\,e^7+12012\,B\,a^5\,b^5\,d^6\,e^5+30030\,A\,a^5\,b^5\,d^5\,e^6+5005\,B\,a^4\,b^6\,d^7\,e^4+10010\,A\,a^4\,b^6\,d^6\,e^5+1760\,B\,a^3\,b^7\,d^8\,e^3+2860\,A\,a^3\,b^7\,d^7\,e^4+495\,B\,a^2\,b^8\,d^9\,e^2+660\,A\,a^2\,b^8\,d^8\,e^3+100\,B\,a\,b^9\,d^{10}\,e+110\,A\,a\,b^9\,d^9\,e^2+11\,B\,b^{10}\,d^{11}+10\,A\,b^{10}\,d^{10}\,e}{38798760\,e^{12}}+\frac{x\,\left(92378\,B\,a^{10}\,e^{10}+97240\,B\,a^9\,b\,d\,e^9+923780\,A\,a^9\,b\,e^{10}+72930\,B\,a^8\,b^2\,d^2\,e^8+437580\,A\,a^8\,b^2\,d\,e^9+45760\,B\,a^7\,b^3\,d^3\,e^7+194480\,A\,a^7\,b^3\,d^2\,e^8+25025\,B\,a^6\,b^4\,d^4\,e^6+80080\,A\,a^6\,b^4\,d^3\,e^7+12012\,B\,a^5\,b^5\,d^5\,e^5+30030\,A\,a^5\,b^5\,d^4\,e^6+5005\,B\,a^4\,b^6\,d^6\,e^4+10010\,A\,a^4\,b^6\,d^5\,e^5+1760\,B\,a^3\,b^7\,d^7\,e^3+2860\,A\,a^3\,b^7\,d^6\,e^4+495\,B\,a^2\,b^8\,d^8\,e^2+660\,A\,a^2\,b^8\,d^7\,e^3+100\,B\,a\,b^9\,d^9\,e+110\,A\,a\,b^9\,d^8\,e^2+11\,B\,b^{10}\,d^{10}+10\,A\,b^{10}\,d^9\,e\right)}{1847560\,e^{11}}+\frac{3\,b^7\,x^8\,\left(1760\,B\,a^3\,e^3+495\,B\,a^2\,b\,d\,e^2+660\,A\,a^2\,b\,e^3+100\,B\,a\,b^2\,d^2\,e+110\,A\,a\,b^2\,d\,e^2+11\,B\,b^3\,d^3+10\,A\,b^3\,d^2\,e\right)}{572\,e^4}+\frac{3\,b^4\,x^5\,\left(25025\,B\,a^6\,e^6+12012\,B\,a^5\,b\,d\,e^5+30030\,A\,a^5\,b\,e^6+5005\,B\,a^4\,b^2\,d^2\,e^4+10010\,A\,a^4\,b^2\,d\,e^5+1760\,B\,a^3\,b^3\,d^3\,e^3+2860\,A\,a^3\,b^3\,d^2\,e^4+495\,B\,a^2\,b^4\,d^4\,e^2+660\,A\,a^2\,b^4\,d^3\,e^3+100\,B\,a\,b^5\,d^5\,e+110\,A\,a\,b^5\,d^4\,e^2+11\,B\,b^6\,d^6+10\,A\,b^6\,d^5\,e\right)}{5720\,e^7}+\frac{b^9\,x^{10}\,\left(10\,A\,b\,e+100\,B\,a\,e+11\,B\,b\,d\right)}{110\,e^2}+\frac{3\,b^6\,x^7\,\left(5005\,B\,a^4\,e^4+1760\,B\,a^3\,b\,d\,e^3+2860\,A\,a^3\,b\,e^4+495\,B\,a^2\,b^2\,d^2\,e^2+660\,A\,a^2\,b^2\,d\,e^3+100\,B\,a\,b^3\,d^3\,e+110\,A\,a\,b^3\,d^2\,e^2+11\,B\,b^4\,d^4+10\,A\,b^4\,d^3\,e\right)}{1001\,e^5}+\frac{3\,b^3\,x^4\,\left(45760\,B\,a^7\,e^7+25025\,B\,a^6\,b\,d\,e^6+80080\,A\,a^6\,b\,e^7+12012\,B\,a^5\,b^2\,d^2\,e^5+30030\,A\,a^5\,b^2\,d\,e^6+5005\,B\,a^4\,b^3\,d^3\,e^4+10010\,A\,a^4\,b^3\,d^2\,e^5+1760\,B\,a^3\,b^4\,d^4\,e^3+2860\,A\,a^3\,b^4\,d^3\,e^4+495\,B\,a^2\,b^5\,d^5\,e^2+660\,A\,a^2\,b^5\,d^4\,e^3+100\,B\,a\,b^6\,d^6\,e+110\,A\,a\,b^6\,d^5\,e^2+11\,B\,b^7\,d^7+10\,A\,b^7\,d^6\,e\right)}{19448\,e^8}+\frac{b\,x^2\,\left(97240\,B\,a^9\,e^9+72930\,B\,a^8\,b\,d\,e^8+437580\,A\,a^8\,b\,e^9+45760\,B\,a^7\,b^2\,d^2\,e^7+194480\,A\,a^7\,b^2\,d\,e^8+25025\,B\,a^6\,b^3\,d^3\,e^6+80080\,A\,a^6\,b^3\,d^2\,e^7+12012\,B\,a^5\,b^4\,d^4\,e^5+30030\,A\,a^5\,b^4\,d^3\,e^6+5005\,B\,a^4\,b^5\,d^5\,e^4+10010\,A\,a^4\,b^5\,d^4\,e^5+1760\,B\,a^3\,b^6\,d^6\,e^3+2860\,A\,a^3\,b^6\,d^5\,e^4+495\,B\,a^2\,b^7\,d^7\,e^2+660\,A\,a^2\,b^7\,d^6\,e^3+100\,B\,a\,b^8\,d^8\,e+110\,A\,a\,b^8\,d^7\,e^2+11\,B\,b^9\,d^9+10\,A\,b^9\,d^8\,e\right)}{184756\,e^{10}}+\frac{b^8\,x^9\,\left(495\,B\,a^2\,e^2+100\,B\,a\,b\,d\,e+110\,A\,a\,b\,e^2+11\,B\,b^2\,d^2+10\,A\,b^2\,d\,e\right)}{132\,e^3}+\frac{b^5\,x^6\,\left(12012\,B\,a^5\,e^5+5005\,B\,a^4\,b\,d\,e^4+10010\,A\,a^4\,b\,e^5+1760\,B\,a^3\,b^2\,d^2\,e^3+2860\,A\,a^3\,b^2\,d\,e^4+495\,B\,a^2\,b^3\,d^3\,e^2+660\,A\,a^2\,b^3\,d^2\,e^3+100\,B\,a\,b^4\,d^4\,e+110\,A\,a\,b^4\,d^3\,e^2+11\,B\,b^5\,d^5+10\,A\,b^5\,d^4\,e\right)}{715\,e^6}+\frac{b^2\,x^3\,\left(72930\,B\,a^8\,e^8+45760\,B\,a^7\,b\,d\,e^7+194480\,A\,a^7\,b\,e^8+25025\,B\,a^6\,b^2\,d^2\,e^6+80080\,A\,a^6\,b^2\,d\,e^7+12012\,B\,a^5\,b^3\,d^3\,e^5+30030\,A\,a^5\,b^3\,d^2\,e^6+5005\,B\,a^4\,b^4\,d^4\,e^4+10010\,A\,a^4\,b^4\,d^3\,e^5+1760\,B\,a^3\,b^5\,d^5\,e^3+2860\,A\,a^3\,b^5\,d^4\,e^4+495\,B\,a^2\,b^6\,d^6\,e^2+660\,A\,a^2\,b^6\,d^5\,e^3+100\,B\,a\,b^7\,d^7\,e+110\,A\,a\,b^7\,d^6\,e^2+11\,B\,b^8\,d^8+10\,A\,b^8\,d^7\,e\right)}{29172\,e^9}+\frac{B\,b^{10}\,x^{11}}{10\,e}}{d^{21}+21\,d^{20}\,e\,x+210\,d^{19}\,e^2\,x^2+1330\,d^{18}\,e^3\,x^3+5985\,d^{17}\,e^4\,x^4+20349\,d^{16}\,e^5\,x^5+54264\,d^{15}\,e^6\,x^6+116280\,d^{14}\,e^7\,x^7+203490\,d^{13}\,e^8\,x^8+293930\,d^{12}\,e^9\,x^9+352716\,d^{11}\,e^{10}\,x^{10}+352716\,d^{10}\,e^{11}\,x^{11}+293930\,d^9\,e^{12}\,x^{12}+203490\,d^8\,e^{13}\,x^{13}+116280\,d^7\,e^{14}\,x^{14}+54264\,d^6\,e^{15}\,x^{15}+20349\,d^5\,e^{16}\,x^{16}+5985\,d^4\,e^{17}\,x^{17}+1330\,d^3\,e^{18}\,x^{18}+210\,d^2\,e^{19}\,x^{19}+21\,d\,e^{20}\,x^{20}+e^{21}\,x^{21}}","Not used",1,"-((1847560*A*a^10*e^11 + 11*B*b^10*d^11 + 10*A*b^10*d^10*e + 92378*B*a^10*d*e^10 + 110*A*a*b^9*d^9*e^2 + 97240*B*a^9*b*d^2*e^9 + 660*A*a^2*b^8*d^8*e^3 + 2860*A*a^3*b^7*d^7*e^4 + 10010*A*a^4*b^6*d^6*e^5 + 30030*A*a^5*b^5*d^5*e^6 + 80080*A*a^6*b^4*d^4*e^7 + 194480*A*a^7*b^3*d^3*e^8 + 437580*A*a^8*b^2*d^2*e^9 + 495*B*a^2*b^8*d^9*e^2 + 1760*B*a^3*b^7*d^8*e^3 + 5005*B*a^4*b^6*d^7*e^4 + 12012*B*a^5*b^5*d^6*e^5 + 25025*B*a^6*b^4*d^5*e^6 + 45760*B*a^7*b^3*d^4*e^7 + 72930*B*a^8*b^2*d^3*e^8 + 923780*A*a^9*b*d*e^10 + 100*B*a*b^9*d^10*e)/(38798760*e^12) + (x*(92378*B*a^10*e^10 + 11*B*b^10*d^10 + 923780*A*a^9*b*e^10 + 10*A*b^10*d^9*e + 110*A*a*b^9*d^8*e^2 + 437580*A*a^8*b^2*d*e^9 + 660*A*a^2*b^8*d^7*e^3 + 2860*A*a^3*b^7*d^6*e^4 + 10010*A*a^4*b^6*d^5*e^5 + 30030*A*a^5*b^5*d^4*e^6 + 80080*A*a^6*b^4*d^3*e^7 + 194480*A*a^7*b^3*d^2*e^8 + 495*B*a^2*b^8*d^8*e^2 + 1760*B*a^3*b^7*d^7*e^3 + 5005*B*a^4*b^6*d^6*e^4 + 12012*B*a^5*b^5*d^5*e^5 + 25025*B*a^6*b^4*d^4*e^6 + 45760*B*a^7*b^3*d^3*e^7 + 72930*B*a^8*b^2*d^2*e^8 + 100*B*a*b^9*d^9*e + 97240*B*a^9*b*d*e^9))/(1847560*e^11) + (3*b^7*x^8*(1760*B*a^3*e^3 + 11*B*b^3*d^3 + 660*A*a^2*b*e^3 + 10*A*b^3*d^2*e + 110*A*a*b^2*d*e^2 + 100*B*a*b^2*d^2*e + 495*B*a^2*b*d*e^2))/(572*e^4) + (3*b^4*x^5*(25025*B*a^6*e^6 + 11*B*b^6*d^6 + 30030*A*a^5*b*e^6 + 10*A*b^6*d^5*e + 110*A*a*b^5*d^4*e^2 + 10010*A*a^4*b^2*d*e^5 + 660*A*a^2*b^4*d^3*e^3 + 2860*A*a^3*b^3*d^2*e^4 + 495*B*a^2*b^4*d^4*e^2 + 1760*B*a^3*b^3*d^3*e^3 + 5005*B*a^4*b^2*d^2*e^4 + 100*B*a*b^5*d^5*e + 12012*B*a^5*b*d*e^5))/(5720*e^7) + (b^9*x^10*(10*A*b*e + 100*B*a*e + 11*B*b*d))/(110*e^2) + (3*b^6*x^7*(5005*B*a^4*e^4 + 11*B*b^4*d^4 + 2860*A*a^3*b*e^4 + 10*A*b^4*d^3*e + 110*A*a*b^3*d^2*e^2 + 660*A*a^2*b^2*d*e^3 + 495*B*a^2*b^2*d^2*e^2 + 100*B*a*b^3*d^3*e + 1760*B*a^3*b*d*e^3))/(1001*e^5) + (3*b^3*x^4*(45760*B*a^7*e^7 + 11*B*b^7*d^7 + 80080*A*a^6*b*e^7 + 10*A*b^7*d^6*e + 110*A*a*b^6*d^5*e^2 + 30030*A*a^5*b^2*d*e^6 + 660*A*a^2*b^5*d^4*e^3 + 2860*A*a^3*b^4*d^3*e^4 + 10010*A*a^4*b^3*d^2*e^5 + 495*B*a^2*b^5*d^5*e^2 + 1760*B*a^3*b^4*d^4*e^3 + 5005*B*a^4*b^3*d^3*e^4 + 12012*B*a^5*b^2*d^2*e^5 + 100*B*a*b^6*d^6*e + 25025*B*a^6*b*d*e^6))/(19448*e^8) + (b*x^2*(97240*B*a^9*e^9 + 11*B*b^9*d^9 + 437580*A*a^8*b*e^9 + 10*A*b^9*d^8*e + 110*A*a*b^8*d^7*e^2 + 194480*A*a^7*b^2*d*e^8 + 660*A*a^2*b^7*d^6*e^3 + 2860*A*a^3*b^6*d^5*e^4 + 10010*A*a^4*b^5*d^4*e^5 + 30030*A*a^5*b^4*d^3*e^6 + 80080*A*a^6*b^3*d^2*e^7 + 495*B*a^2*b^7*d^7*e^2 + 1760*B*a^3*b^6*d^6*e^3 + 5005*B*a^4*b^5*d^5*e^4 + 12012*B*a^5*b^4*d^4*e^5 + 25025*B*a^6*b^3*d^3*e^6 + 45760*B*a^7*b^2*d^2*e^7 + 100*B*a*b^8*d^8*e + 72930*B*a^8*b*d*e^8))/(184756*e^10) + (b^8*x^9*(495*B*a^2*e^2 + 11*B*b^2*d^2 + 110*A*a*b*e^2 + 10*A*b^2*d*e + 100*B*a*b*d*e))/(132*e^3) + (b^5*x^6*(12012*B*a^5*e^5 + 11*B*b^5*d^5 + 10010*A*a^4*b*e^5 + 10*A*b^5*d^4*e + 110*A*a*b^4*d^3*e^2 + 2860*A*a^3*b^2*d*e^4 + 660*A*a^2*b^3*d^2*e^3 + 495*B*a^2*b^3*d^3*e^2 + 1760*B*a^3*b^2*d^2*e^3 + 100*B*a*b^4*d^4*e + 5005*B*a^4*b*d*e^4))/(715*e^6) + (b^2*x^3*(72930*B*a^8*e^8 + 11*B*b^8*d^8 + 194480*A*a^7*b*e^8 + 10*A*b^8*d^7*e + 110*A*a*b^7*d^6*e^2 + 80080*A*a^6*b^2*d*e^7 + 660*A*a^2*b^6*d^5*e^3 + 2860*A*a^3*b^5*d^4*e^4 + 10010*A*a^4*b^4*d^3*e^5 + 30030*A*a^5*b^3*d^2*e^6 + 495*B*a^2*b^6*d^6*e^2 + 1760*B*a^3*b^5*d^5*e^3 + 5005*B*a^4*b^4*d^4*e^4 + 12012*B*a^5*b^3*d^3*e^5 + 25025*B*a^6*b^2*d^2*e^6 + 100*B*a*b^7*d^7*e + 45760*B*a^7*b*d*e^7))/(29172*e^9) + (B*b^10*x^11)/(10*e))/(d^21 + e^21*x^21 + 21*d*e^20*x^20 + 210*d^19*e^2*x^2 + 1330*d^18*e^3*x^3 + 5985*d^17*e^4*x^4 + 20349*d^16*e^5*x^5 + 54264*d^15*e^6*x^6 + 116280*d^14*e^7*x^7 + 203490*d^13*e^8*x^8 + 293930*d^12*e^9*x^9 + 352716*d^11*e^10*x^10 + 352716*d^10*e^11*x^11 + 293930*d^9*e^12*x^12 + 203490*d^8*e^13*x^13 + 116280*d^7*e^14*x^14 + 54264*d^6*e^15*x^15 + 20349*d^5*e^16*x^16 + 5985*d^4*e^17*x^17 + 1330*d^3*e^18*x^18 + 210*d^2*e^19*x^19 + 21*d^20*e*x)","B"
1111,1,565,187,0.104503,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a + b*x),x)","x\,\left(\frac{B\,d^5+5\,A\,e\,d^4}{b}+\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b}-\frac{B\,a\,e^5}{b^2}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b}\right)}{b}+\frac{10\,d^2\,e^2\,\left(A\,e+B\,d\right)}{b}\right)}{b}-\frac{5\,d^3\,e\,\left(2\,A\,e+B\,d\right)}{b}\right)}{b}\right)+x^3\,\left(\frac{a\,\left(\frac{a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b}-\frac{B\,a\,e^5}{b^2}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b}\right)}{3\,b}+\frac{10\,d^2\,e^2\,\left(A\,e+B\,d\right)}{3\,b}\right)-x^4\,\left(\frac{a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b}-\frac{B\,a\,e^5}{b^2}\right)}{4\,b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{4\,b}\right)+x^5\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{5\,b}-\frac{B\,a\,e^5}{5\,b^2}\right)-x^2\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b}-\frac{B\,a\,e^5}{b^2}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b}\right)}{b}+\frac{10\,d^2\,e^2\,\left(A\,e+B\,d\right)}{b}\right)}{2\,b}-\frac{5\,d^3\,e\,\left(2\,A\,e+B\,d\right)}{2\,b}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^6\,e^5-5\,B\,a^5\,b\,d\,e^4-A\,a^5\,b\,e^5+10\,B\,a^4\,b^2\,d^2\,e^3+5\,A\,a^4\,b^2\,d\,e^4-10\,B\,a^3\,b^3\,d^3\,e^2-10\,A\,a^3\,b^3\,d^2\,e^3+5\,B\,a^2\,b^4\,d^4\,e+10\,A\,a^2\,b^4\,d^3\,e^2-B\,a\,b^5\,d^5-5\,A\,a\,b^5\,d^4\,e+A\,b^6\,d^5\right)}{b^7}+\frac{B\,e^5\,x^6}{6\,b}","Not used",1,"x*((B*d^5 + 5*A*d^4*e)/b + (a*((a*((a*((a*((A*e^5 + 5*B*d*e^4)/b - (B*a*e^5)/b^2))/b - (5*d*e^3*(A*e + 2*B*d))/b))/b + (10*d^2*e^2*(A*e + B*d))/b))/b - (5*d^3*e*(2*A*e + B*d))/b))/b) + x^3*((a*((a*((A*e^5 + 5*B*d*e^4)/b - (B*a*e^5)/b^2))/b - (5*d*e^3*(A*e + 2*B*d))/b))/(3*b) + (10*d^2*e^2*(A*e + B*d))/(3*b)) - x^4*((a*((A*e^5 + 5*B*d*e^4)/b - (B*a*e^5)/b^2))/(4*b) - (5*d*e^3*(A*e + 2*B*d))/(4*b)) + x^5*((A*e^5 + 5*B*d*e^4)/(5*b) - (B*a*e^5)/(5*b^2)) - x^2*((a*((a*((a*((A*e^5 + 5*B*d*e^4)/b - (B*a*e^5)/b^2))/b - (5*d*e^3*(A*e + 2*B*d))/b))/b + (10*d^2*e^2*(A*e + B*d))/b))/(2*b) - (5*d^3*e*(2*A*e + B*d))/(2*b)) + (log(a + b*x)*(A*b^6*d^5 + B*a^6*e^5 - A*a^5*b*e^5 - B*a*b^5*d^5 + 5*A*a^4*b^2*d*e^4 + 5*B*a^2*b^4*d^4*e + 10*A*a^2*b^4*d^3*e^2 - 10*A*a^3*b^3*d^2*e^3 - 10*B*a^3*b^3*d^3*e^2 + 10*B*a^4*b^2*d^2*e^3 - 5*A*a*b^5*d^4*e - 5*B*a^5*b*d*e^4))/b^7 + (B*e^5*x^6)/(6*b)","B"
1112,1,411,155,1.125590,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + b*x),x)","x\,\left(\frac{B\,d^4+4\,A\,e\,d^3}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b}-\frac{B\,a\,e^4}{b^2}\right)}{b}-\frac{2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{b}\right)}{b}+\frac{2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{b}\right)}{b}\right)-x^3\,\left(\frac{a\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b}-\frac{B\,a\,e^4}{b^2}\right)}{3\,b}-\frac{2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{3\,b}\right)+x^4\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{4\,b}-\frac{B\,a\,e^4}{4\,b^2}\right)+x^2\,\left(\frac{a\,\left(\frac{a\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b}-\frac{B\,a\,e^4}{b^2}\right)}{b}-\frac{2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{b}\right)}{2\,b}+\frac{d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{b}\right)+\frac{\ln\left(a+b\,x\right)\,\left(-B\,a^5\,e^4+4\,B\,a^4\,b\,d\,e^3+A\,a^4\,b\,e^4-6\,B\,a^3\,b^2\,d^2\,e^2-4\,A\,a^3\,b^2\,d\,e^3+4\,B\,a^2\,b^3\,d^3\,e+6\,A\,a^2\,b^3\,d^2\,e^2-B\,a\,b^4\,d^4-4\,A\,a\,b^4\,d^3\,e+A\,b^5\,d^4\right)}{b^6}+\frac{B\,e^4\,x^5}{5\,b}","Not used",1,"x*((B*d^4 + 4*A*d^3*e)/b - (a*((a*((a*((A*e^4 + 4*B*d*e^3)/b - (B*a*e^4)/b^2))/b - (2*d*e^2*(2*A*e + 3*B*d))/b))/b + (2*d^2*e*(3*A*e + 2*B*d))/b))/b) - x^3*((a*((A*e^4 + 4*B*d*e^3)/b - (B*a*e^4)/b^2))/(3*b) - (2*d*e^2*(2*A*e + 3*B*d))/(3*b)) + x^4*((A*e^4 + 4*B*d*e^3)/(4*b) - (B*a*e^4)/(4*b^2)) + x^2*((a*((a*((A*e^4 + 4*B*d*e^3)/b - (B*a*e^4)/b^2))/b - (2*d*e^2*(2*A*e + 3*B*d))/b))/(2*b) + (d^2*e*(3*A*e + 2*B*d))/b) + (log(a + b*x)*(A*b^5*d^4 - B*a^5*e^4 + A*a^4*b*e^4 - B*a*b^4*d^4 - 4*A*a^3*b^2*d*e^3 + 4*B*a^2*b^3*d^3*e + 6*A*a^2*b^3*d^2*e^2 - 6*B*a^3*b^2*d^2*e^2 - 4*A*a*b^4*d^3*e + 4*B*a^4*b*d*e^3))/b^6 + (B*e^4*x^5)/(5*b)","B"
1113,1,268,123,0.068711,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x),x)","x\,\left(\frac{B\,d^3+3\,A\,e\,d^2}{b}+\frac{a\,\left(\frac{a\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{b}-\frac{B\,a\,e^3}{b^2}\right)}{b}-\frac{3\,d\,e\,\left(A\,e+B\,d\right)}{b}\right)}{b}\right)-x^2\,\left(\frac{a\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{b}-\frac{B\,a\,e^3}{b^2}\right)}{2\,b}-\frac{3\,d\,e\,\left(A\,e+B\,d\right)}{2\,b}\right)+x^3\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{3\,b}-\frac{B\,a\,e^3}{3\,b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4\,e^3-3\,B\,a^3\,b\,d\,e^2-A\,a^3\,b\,e^3+3\,B\,a^2\,b^2\,d^2\,e+3\,A\,a^2\,b^2\,d\,e^2-B\,a\,b^3\,d^3-3\,A\,a\,b^3\,d^2\,e+A\,b^4\,d^3\right)}{b^5}+\frac{B\,e^3\,x^4}{4\,b}","Not used",1,"x*((B*d^3 + 3*A*d^2*e)/b + (a*((a*((A*e^3 + 3*B*d*e^2)/b - (B*a*e^3)/b^2))/b - (3*d*e*(A*e + B*d))/b))/b) - x^2*((a*((A*e^3 + 3*B*d*e^2)/b - (B*a*e^3)/b^2))/(2*b) - (3*d*e*(A*e + B*d))/(2*b)) + x^3*((A*e^3 + 3*B*d*e^2)/(3*b) - (B*a*e^3)/(3*b^2)) + (log(a + b*x)*(A*b^4*d^3 + B*a^4*e^3 - A*a^3*b*e^3 - B*a*b^3*d^3 + 3*A*a^2*b^2*d*e^2 + 3*B*a^2*b^2*d^2*e - 3*A*a*b^3*d^2*e - 3*B*a^3*b*d*e^2))/b^5 + (B*e^3*x^4)/(4*b)","B"
1114,1,159,91,0.070185,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x),x)","x\,\left(\frac{B\,d^2+2\,A\,e\,d}{b}-\frac{a\,\left(\frac{A\,e^2+2\,B\,d\,e}{b}-\frac{B\,a\,e^2}{b^2}\right)}{b}\right)+x^2\,\left(\frac{A\,e^2+2\,B\,d\,e}{2\,b}-\frac{B\,a\,e^2}{2\,b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(-B\,a^3\,e^2+2\,B\,a^2\,b\,d\,e+A\,a^2\,b\,e^2-B\,a\,b^2\,d^2-2\,A\,a\,b^2\,d\,e+A\,b^3\,d^2\right)}{b^4}+\frac{B\,e^2\,x^3}{3\,b}","Not used",1,"x*((B*d^2 + 2*A*d*e)/b - (a*((A*e^2 + 2*B*d*e)/b - (B*a*e^2)/b^2))/b) + x^2*((A*e^2 + 2*B*d*e)/(2*b) - (B*a*e^2)/(2*b^2)) + (log(a + b*x)*(A*b^3*d^2 - B*a^3*e^2 + A*a^2*b*e^2 - B*a*b^2*d^2 - 2*A*a*b^2*d*e + 2*B*a^2*b*d*e))/b^4 + (B*e^2*x^3)/(3*b)","B"
1115,1,68,59,1.098895,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x),x)","x\,\left(\frac{A\,e+B\,d}{b}-\frac{B\,a\,e}{b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(A\,b^2\,d+B\,a^2\,e-A\,a\,b\,e-B\,a\,b\,d\right)}{b^3}+\frac{B\,e\,x^2}{2\,b}","Not used",1,"x*((A*e + B*d)/b - (B*a*e)/b^2) + (log(a + b*x)*(A*b^2*d + B*a^2*e - A*a*b*e - B*a*b*d))/b^3 + (B*e*x^2)/(2*b)","B"
1116,1,25,25,0.041057,"\text{Not used}","int((A + B*x)/(a + b*x),x)","\frac{B\,x}{b}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-B\,a\right)}{b^2}","Not used",1,"(B*x)/b + (log(a + b*x)*(A*b - B*a))/b^2","B"
1117,1,57,57,1.252995,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)),x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,e-B\,d\right)}{a\,e^2-b\,d\,e}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-B\,a\right)}{b^2\,d-a\,b\,e}","Not used",1,"(log(d + e*x)*(A*e - B*d))/(a*e^2 - b*d*e) + (log(a + b*x)*(A*b - B*a))/(b^2*d - a*b*e)","B"
1118,1,95,82,1.185888,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{a^2\,e^2-b^2\,d^2}{{\left(a\,e-b\,d\right)}^2}+\frac{2\,b\,e\,x}{a\,e-b\,d}\right)\,\left(A\,b-B\,a\right)}{{\left(a\,e-b\,d\right)}^2}-\frac{A\,e-B\,d}{e\,\left(a\,e-b\,d\right)\,\left(d+e\,x\right)}","Not used",1,"(2*atanh((a^2*e^2 - b^2*d^2)/(a*e - b*d)^2 + (2*b*e*x)/(a*e - b*d))*(A*b - B*a))/(a*e - b*d)^2 - (A*e - B*d)/(e*(a*e - b*d)*(d + e*x))","B"
1119,1,228,112,1.240469,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^3),x)","-\frac{\frac{A\,a\,e^2+B\,b\,d^2-3\,A\,b\,d\,e+B\,a\,d\,e}{2\,e\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}-\frac{e\,x\,\left(A\,b-B\,a\right)}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}}{d^2+2\,d\,e\,x+e^2\,x^2}-\frac{2\,b\,\mathrm{atanh}\left(\frac{\left(\frac{a^3\,e^3-a^2\,b\,d\,e^2-a\,b^2\,d^2\,e+b^3\,d^3}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}+2\,b\,e\,x\right)\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{{\left(a\,e-b\,d\right)}^3}\right)\,\left(A\,b-B\,a\right)}{{\left(a\,e-b\,d\right)}^3}","Not used",1,"- ((A*a*e^2 + B*b*d^2 - 3*A*b*d*e + B*a*d*e)/(2*e*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) - (e*x*(A*b - B*a))/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(d^2 + e^2*x^2 + 2*d*e*x) - (2*b*atanh((((a^3*e^3 + b^3*d^3 - a*b^2*d^2*e - a^2*b*d*e^2)/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e) + 2*b*e*x)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(a*e - b*d)^3)*(A*b - B*a))/(a*e - b*d)^3","B"
1120,1,399,146,1.370870,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^4),x)","\frac{2\,b^2\,\mathrm{atanh}\left(\frac{\left(\frac{a^4\,e^4-2\,a^3\,b\,d\,e^3+2\,a\,b^3\,d^3\,e-b^4\,d^4}{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}+2\,b\,e\,x\right)\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}{{\left(a\,e-b\,d\right)}^4}\right)\,\left(A\,b-B\,a\right)}{{\left(a\,e-b\,d\right)}^4}-\frac{\frac{B\,a^2\,d\,e^2+2\,A\,a^2\,e^3-5\,B\,a\,b\,d^2\,e-7\,A\,a\,b\,d\,e^2-2\,B\,b^2\,d^3+11\,A\,b^2\,d^2\,e}{6\,e\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}-\frac{x\,\left(A\,b-B\,a\right)\,\left(a\,e^2-5\,b\,d\,e\right)}{2\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}+\frac{b\,e^2\,x^2\,\left(A\,b-B\,a\right)}{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}","Not used",1,"(2*b^2*atanh((((a^4*e^4 - b^4*d^4 + 2*a*b^3*d^3*e - 2*a^3*b*d*e^3)/(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + 2*b*e*x)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(a*e - b*d)^4)*(A*b - B*a))/(a*e - b*d)^4 - ((2*A*a^2*e^3 - 2*B*b^2*d^3 + 11*A*b^2*d^2*e + B*a^2*d*e^2 - 7*A*a*b*d*e^2 - 5*B*a*b*d^2*e)/(6*e*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) - (x*(A*b - B*a)*(a*e^2 - 5*b*d*e))/(2*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) + (b*e^2*x^2*(A*b - B*a))/(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1121,1,629,178,1.494428,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^5),x)","-\frac{\frac{B\,a^3\,d\,e^3+3\,A\,a^3\,e^4-5\,B\,a^2\,b\,d^2\,e^2-13\,A\,a^2\,b\,d\,e^3+13\,B\,a\,b^2\,d^3\,e+23\,A\,a\,b^2\,d^2\,e^2+3\,B\,b^3\,d^4-25\,A\,b^3\,d^3\,e}{12\,e\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}-\frac{x\,\left(A\,b-B\,a\right)\,\left(a^2\,e^3-5\,a\,b\,d\,e^2+13\,b^2\,d^2\,e\right)}{3\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}+\frac{b\,x^2\,\left(A\,b-B\,a\right)\,\left(a\,e^3-7\,b\,d\,e^2\right)}{2\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}-\frac{b^2\,e^3\,x^3\,\left(A\,b-B\,a\right)}{a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4}}{d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4}-\frac{2\,b^3\,\mathrm{atanh}\left(\frac{\left(\frac{a^5\,e^5-3\,a^4\,b\,d\,e^4+2\,a^3\,b^2\,d^2\,e^3+2\,a^2\,b^3\,d^3\,e^2-3\,a\,b^4\,d^4\,e+b^5\,d^5}{a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4}+2\,b\,e\,x\right)\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}{{\left(a\,e-b\,d\right)}^5}\right)\,\left(A\,b-B\,a\right)}{{\left(a\,e-b\,d\right)}^5}","Not used",1,"- ((3*A*a^3*e^4 + 3*B*b^3*d^4 - 25*A*b^3*d^3*e + B*a^3*d*e^3 + 23*A*a*b^2*d^2*e^2 - 5*B*a^2*b*d^2*e^2 - 13*A*a^2*b*d*e^3 + 13*B*a*b^2*d^3*e)/(12*e*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) - (x*(A*b - B*a)*(a^2*e^3 + 13*b^2*d^2*e - 5*a*b*d*e^2))/(3*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) + (b*x^2*(A*b - B*a)*(a*e^3 - 7*b*d*e^2))/(2*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) - (b^2*e^3*x^3*(A*b - B*a))/(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3))/(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x) - (2*b^3*atanh((((a^5*e^5 + b^5*d^5 + 2*a^2*b^3*d^3*e^2 + 2*a^3*b^2*d^2*e^3 - 3*a*b^4*d^4*e - 3*a^4*b*d*e^4)/(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3) + 2*b*e*x)*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3))/(a*e - b*d)^5)*(A*b - B*a))/(a*e - b*d)^5","B"
1122,1,766,227,1.137594,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a + b*x)^2,x)","x^2\,\left(\frac{a\,\left(\frac{2\,a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^2}-\frac{2\,B\,a\,e^5}{b^3}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b^2}+\frac{B\,a^2\,e^5}{b^4}\right)}{b}-\frac{a^2\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^2}-\frac{2\,B\,a\,e^5}{b^3}\right)}{2\,b^2}+\frac{5\,d^2\,e^2\,\left(A\,e+B\,d\right)}{b^2}\right)-x^3\,\left(\frac{2\,a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^2}-\frac{2\,B\,a\,e^5}{b^3}\right)}{3\,b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{3\,b^2}+\frac{B\,a^2\,e^5}{3\,b^4}\right)+x^4\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{4\,b^2}-\frac{B\,a\,e^5}{2\,b^3}\right)+x\,\left(\frac{a^2\,\left(\frac{2\,a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^2}-\frac{2\,B\,a\,e^5}{b^3}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b^2}+\frac{B\,a^2\,e^5}{b^4}\right)}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^2}-\frac{2\,B\,a\,e^5}{b^3}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b^2}+\frac{B\,a^2\,e^5}{b^4}\right)}{b}-\frac{a^2\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^2}-\frac{2\,B\,a\,e^5}{b^3}\right)}{b^2}+\frac{10\,d^2\,e^2\,\left(A\,e+B\,d\right)}{b^2}\right)}{b}+\frac{5\,d^3\,e\,\left(2\,A\,e+B\,d\right)}{b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(-6\,B\,a^5\,e^5+25\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5-40\,B\,a^3\,b^2\,d^2\,e^3-20\,A\,a^3\,b^2\,d\,e^4+30\,B\,a^2\,b^3\,d^3\,e^2+30\,A\,a^2\,b^3\,d^2\,e^3-10\,B\,a\,b^4\,d^4\,e-20\,A\,a\,b^4\,d^3\,e^2+B\,b^5\,d^5+5\,A\,b^5\,d^4\,e\right)}{b^7}-\frac{B\,a^6\,e^5-5\,B\,a^5\,b\,d\,e^4-A\,a^5\,b\,e^5+10\,B\,a^4\,b^2\,d^2\,e^3+5\,A\,a^4\,b^2\,d\,e^4-10\,B\,a^3\,b^3\,d^3\,e^2-10\,A\,a^3\,b^3\,d^2\,e^3+5\,B\,a^2\,b^4\,d^4\,e+10\,A\,a^2\,b^4\,d^3\,e^2-B\,a\,b^5\,d^5-5\,A\,a\,b^5\,d^4\,e+A\,b^6\,d^5}{b\,\left(x\,b^7+a\,b^6\right)}+\frac{B\,e^5\,x^5}{5\,b^2}","Not used",1,"x^2*((a*((2*a*((A*e^5 + 5*B*d*e^4)/b^2 - (2*B*a*e^5)/b^3))/b - (5*d*e^3*(A*e + 2*B*d))/b^2 + (B*a^2*e^5)/b^4))/b - (a^2*((A*e^5 + 5*B*d*e^4)/b^2 - (2*B*a*e^5)/b^3))/(2*b^2) + (5*d^2*e^2*(A*e + B*d))/b^2) - x^3*((2*a*((A*e^5 + 5*B*d*e^4)/b^2 - (2*B*a*e^5)/b^3))/(3*b) - (5*d*e^3*(A*e + 2*B*d))/(3*b^2) + (B*a^2*e^5)/(3*b^4)) + x^4*((A*e^5 + 5*B*d*e^4)/(4*b^2) - (B*a*e^5)/(2*b^3)) + x*((a^2*((2*a*((A*e^5 + 5*B*d*e^4)/b^2 - (2*B*a*e^5)/b^3))/b - (5*d*e^3*(A*e + 2*B*d))/b^2 + (B*a^2*e^5)/b^4))/b^2 - (2*a*((2*a*((2*a*((A*e^5 + 5*B*d*e^4)/b^2 - (2*B*a*e^5)/b^3))/b - (5*d*e^3*(A*e + 2*B*d))/b^2 + (B*a^2*e^5)/b^4))/b - (a^2*((A*e^5 + 5*B*d*e^4)/b^2 - (2*B*a*e^5)/b^3))/b^2 + (10*d^2*e^2*(A*e + B*d))/b^2))/b + (5*d^3*e*(2*A*e + B*d))/b^2) + (log(a + b*x)*(B*b^5*d^5 - 6*B*a^5*e^5 + 5*A*a^4*b*e^5 + 5*A*b^5*d^4*e - 20*A*a*b^4*d^3*e^2 - 20*A*a^3*b^2*d*e^4 + 30*A*a^2*b^3*d^2*e^3 + 30*B*a^2*b^3*d^3*e^2 - 40*B*a^3*b^2*d^2*e^3 - 10*B*a*b^4*d^4*e + 25*B*a^4*b*d*e^4))/b^7 - (A*b^6*d^5 + B*a^6*e^5 - A*a^5*b*e^5 - B*a*b^5*d^5 + 5*A*a^4*b^2*d*e^4 + 5*B*a^2*b^4*d^4*e + 10*A*a^2*b^4*d^3*e^2 - 10*A*a^3*b^3*d^2*e^3 - 10*B*a^3*b^3*d^3*e^2 + 10*B*a^4*b^2*d^2*e^3 - 5*A*a*b^5*d^4*e - 5*B*a^5*b*d*e^4)/(b*(a*b^6 + b^7*x)) + (B*e^5*x^5)/(5*b^2)","B"
1123,1,486,187,0.108704,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + b*x)^2,x)","x^3\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{3\,b^2}-\frac{2\,B\,a\,e^4}{3\,b^3}\right)-x^2\,\left(\frac{a\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b^2}-\frac{2\,B\,a\,e^4}{b^3}\right)}{b}-\frac{d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{b^2}+\frac{B\,a^2\,e^4}{2\,b^4}\right)+x\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b^2}-\frac{2\,B\,a\,e^4}{b^3}\right)}{b}-\frac{2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{b^2}+\frac{B\,a^2\,e^4}{b^4}\right)}{b}-\frac{a^2\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b^2}-\frac{2\,B\,a\,e^4}{b^3}\right)}{b^2}+\frac{2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(5\,B\,a^4\,e^4-16\,B\,a^3\,b\,d\,e^3-4\,A\,a^3\,b\,e^4+18\,B\,a^2\,b^2\,d^2\,e^2+12\,A\,a^2\,b^2\,d\,e^3-8\,B\,a\,b^3\,d^3\,e-12\,A\,a\,b^3\,d^2\,e^2+B\,b^4\,d^4+4\,A\,b^4\,d^3\,e\right)}{b^6}-\frac{-B\,a^5\,e^4+4\,B\,a^4\,b\,d\,e^3+A\,a^4\,b\,e^4-6\,B\,a^3\,b^2\,d^2\,e^2-4\,A\,a^3\,b^2\,d\,e^3+4\,B\,a^2\,b^3\,d^3\,e+6\,A\,a^2\,b^3\,d^2\,e^2-B\,a\,b^4\,d^4-4\,A\,a\,b^4\,d^3\,e+A\,b^5\,d^4}{b\,\left(x\,b^6+a\,b^5\right)}+\frac{B\,e^4\,x^4}{4\,b^2}","Not used",1,"x^3*((A*e^4 + 4*B*d*e^3)/(3*b^2) - (2*B*a*e^4)/(3*b^3)) - x^2*((a*((A*e^4 + 4*B*d*e^3)/b^2 - (2*B*a*e^4)/b^3))/b - (d*e^2*(2*A*e + 3*B*d))/b^2 + (B*a^2*e^4)/(2*b^4)) + x*((2*a*((2*a*((A*e^4 + 4*B*d*e^3)/b^2 - (2*B*a*e^4)/b^3))/b - (2*d*e^2*(2*A*e + 3*B*d))/b^2 + (B*a^2*e^4)/b^4))/b - (a^2*((A*e^4 + 4*B*d*e^3)/b^2 - (2*B*a*e^4)/b^3))/b^2 + (2*d^2*e*(3*A*e + 2*B*d))/b^2) + (log(a + b*x)*(5*B*a^4*e^4 + B*b^4*d^4 - 4*A*a^3*b*e^4 + 4*A*b^4*d^3*e - 12*A*a*b^3*d^2*e^2 + 12*A*a^2*b^2*d*e^3 + 18*B*a^2*b^2*d^2*e^2 - 8*B*a*b^3*d^3*e - 16*B*a^3*b*d*e^3))/b^6 - (A*b^5*d^4 - B*a^5*e^4 + A*a^4*b*e^4 - B*a*b^4*d^4 - 4*A*a^3*b^2*d*e^3 + 4*B*a^2*b^3*d^3*e + 6*A*a^2*b^3*d^2*e^2 - 6*B*a^3*b^2*d^2*e^2 - 4*A*a*b^4*d^3*e + 4*B*a^4*b*d*e^3)/(b*(a*b^5 + b^6*x)) + (B*e^4*x^4)/(4*b^2)","B"
1124,1,293,145,0.091540,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x)^2,x)","x^2\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{2\,b^2}-\frac{B\,a\,e^3}{b^3}\right)-x\,\left(\frac{2\,a\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{b^2}-\frac{2\,B\,a\,e^3}{b^3}\right)}{b}-\frac{3\,d\,e\,\left(A\,e+B\,d\right)}{b^2}+\frac{B\,a^2\,e^3}{b^4}\right)+\frac{\ln\left(a+b\,x\right)\,\left(-4\,B\,a^3\,e^3+9\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3-6\,B\,a\,b^2\,d^2\,e-6\,A\,a\,b^2\,d\,e^2+B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{b^5}-\frac{B\,a^4\,e^3-3\,B\,a^3\,b\,d\,e^2-A\,a^3\,b\,e^3+3\,B\,a^2\,b^2\,d^2\,e+3\,A\,a^2\,b^2\,d\,e^2-B\,a\,b^3\,d^3-3\,A\,a\,b^3\,d^2\,e+A\,b^4\,d^3}{b\,\left(x\,b^5+a\,b^4\right)}+\frac{B\,e^3\,x^3}{3\,b^2}","Not used",1,"x^2*((A*e^3 + 3*B*d*e^2)/(2*b^2) - (B*a*e^3)/b^3) - x*((2*a*((A*e^3 + 3*B*d*e^2)/b^2 - (2*B*a*e^3)/b^3))/b - (3*d*e*(A*e + B*d))/b^2 + (B*a^2*e^3)/b^4) + (log(a + b*x)*(B*b^3*d^3 - 4*B*a^3*e^3 + 3*A*a^2*b*e^3 + 3*A*b^3*d^2*e - 6*A*a*b^2*d*e^2 - 6*B*a*b^2*d^2*e + 9*B*a^2*b*d*e^2))/b^5 - (A*b^4*d^3 + B*a^4*e^3 - A*a^3*b*e^3 - B*a*b^3*d^3 + 3*A*a^2*b^2*d*e^2 + 3*B*a^2*b^2*d^2*e - 3*A*a*b^3*d^2*e - 3*B*a^3*b*d*e^2)/(b*(a*b^4 + b^5*x)) + (B*e^3*x^3)/(3*b^2)","B"
1125,1,165,99,1.113255,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x)^2,x)","x\,\left(\frac{A\,e^2+2\,B\,d\,e}{b^2}-\frac{2\,B\,a\,e^2}{b^3}\right)+\frac{\ln\left(a+b\,x\right)\,\left(3\,B\,a^2\,e^2-4\,B\,a\,b\,d\,e-2\,A\,a\,b\,e^2+B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{b^4}-\frac{-B\,a^3\,e^2+2\,B\,a^2\,b\,d\,e+A\,a^2\,b\,e^2-B\,a\,b^2\,d^2-2\,A\,a\,b^2\,d\,e+A\,b^3\,d^2}{b\,\left(x\,b^4+a\,b^3\right)}+\frac{B\,e^2\,x^2}{2\,b^2}","Not used",1,"x*((A*e^2 + 2*B*d*e)/b^2 - (2*B*a*e^2)/b^3) + (log(a + b*x)*(3*B*a^2*e^2 + B*b^2*d^2 - 2*A*a*b*e^2 + 2*A*b^2*d*e - 4*B*a*b*d*e))/b^4 - (A*b^3*d^2 - B*a^3*e^2 + A*a^2*b*e^2 - B*a*b^2*d^2 - 2*A*a*b^2*d*e + 2*B*a^2*b*d*e)/(b*(a*b^3 + b^4*x)) + (B*e^2*x^2)/(2*b^2)","B"
1126,1,75,60,1.120699,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x)^2,x)","\frac{\ln\left(a+b\,x\right)\,\left(A\,b\,e-2\,B\,a\,e+B\,b\,d\right)}{b^3}-\frac{A\,b^2\,d+B\,a^2\,e-A\,a\,b\,e-B\,a\,b\,d}{b\,\left(x\,b^3+a\,b^2\right)}+\frac{B\,e\,x}{b^2}","Not used",1,"(log(a + b*x)*(A*b*e - 2*B*a*e + B*b*d))/b^3 - (A*b^2*d + B*a^2*e - A*a*b*e - B*a*b*d)/(b*(a*b^2 + b^3*x)) + (B*e*x)/b^2","B"
1127,1,32,32,0.040413,"\text{Not used}","int((A + B*x)/(a + b*x)^2,x)","\frac{B\,\ln\left(a+b\,x\right)}{b^2}-\frac{A\,b-B\,a}{b^2\,\left(a+b\,x\right)}","Not used",1,"(B*log(a + b*x))/b^2 - (A*b - B*a)/(b^2*(a + b*x))","B"
1128,1,94,82,1.147859,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)),x)","\frac{A\,b-B\,a}{b\,\left(a\,e-b\,d\right)\,\left(a+b\,x\right)}-\frac{2\,\mathrm{atanh}\left(\frac{a^2\,e^2-b^2\,d^2}{{\left(a\,e-b\,d\right)}^2}+\frac{2\,b\,e\,x}{a\,e-b\,d}\right)\,\left(A\,e-B\,d\right)}{{\left(a\,e-b\,d\right)}^2}","Not used",1,"(A*b - B*a)/(b*(a*e - b*d)*(a + b*x)) - (2*atanh((a^2*e^2 - b^2*d^2)/(a*e - b*d)^2 + (2*b*e*x)/(a*e - b*d))*(A*e - B*d))/(a*e - b*d)^2","B"
1129,1,263,117,0.244978,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^2),x)","-\frac{\frac{A\,a\,e+A\,b\,d-2\,B\,a\,d}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}-\frac{x\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}}{b\,e\,x^2+\left(a\,e+b\,d\right)\,x+a\,d}-\frac{2\,\mathrm{atanh}\left(\frac{\left(\frac{a^3\,e^3-a^2\,b\,d\,e^2-a\,b^2\,d^2\,e+b^3\,d^3}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}+2\,b\,e\,x\right)\,\left(e\,\left(2\,A\,b-B\,a\right)-B\,b\,d\right)\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{{\left(a\,e-b\,d\right)}^3\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}\right)\,\left(e\,\left(2\,A\,b-B\,a\right)-B\,b\,d\right)}{{\left(a\,e-b\,d\right)}^3}","Not used",1,"- ((A*a*e + A*b*d - 2*B*a*d)/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e) - (x*(B*a*e - 2*A*b*e + B*b*d))/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(a*d + x*(a*e + b*d) + b*e*x^2) - (2*atanh((((a^3*e^3 + b^3*d^3 - a*b^2*d^2*e - a^2*b*d*e^2)/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e) + 2*b*e*x)*(e*(2*A*b - B*a) - B*b*d)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/((a*e - b*d)^3*(B*a*e - 2*A*b*e + B*b*d)))*(e*(2*A*b - B*a) - B*b*d))/(a*e - b*d)^3","B"
1130,1,454,157,1.439554,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^3),x)","\frac{2\,\mathrm{atanh}\left(\frac{\left(b^2\,\left(3\,A\,e-B\,d\right)-2\,B\,a\,b\,e\right)\,\left(\frac{a^4\,e^4-2\,a^3\,b\,d\,e^3+2\,a\,b^3\,d^3\,e-b^4\,d^4}{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}+2\,b\,e\,x\right)\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}{{\left(a\,e-b\,d\right)}^4\,\left(B\,b^2\,d-3\,A\,b^2\,e+2\,B\,a\,b\,e\right)}\right)\,\left(b^2\,\left(3\,A\,e-B\,d\right)-2\,B\,a\,b\,e\right)}{{\left(a\,e-b\,d\right)}^4}-\frac{\frac{B\,a^2\,d\,e+A\,a^2\,e^2+5\,B\,a\,b\,d^2-5\,A\,a\,b\,d\,e-2\,A\,b^2\,d^2}{2\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}+\frac{x\,\left(a\,e+3\,b\,d\right)\,\left(2\,B\,a\,e-3\,A\,b\,e+B\,b\,d\right)}{2\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}+\frac{b\,e\,x^2\,\left(2\,B\,a\,e-3\,A\,b\,e+B\,b\,d\right)}{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}}{x\,\left(b\,d^2+2\,a\,e\,d\right)+a\,d^2+x^2\,\left(a\,e^2+2\,b\,d\,e\right)+b\,e^2\,x^3}","Not used",1,"(2*atanh(((b^2*(3*A*e - B*d) - 2*B*a*b*e)*((a^4*e^4 - b^4*d^4 + 2*a*b^3*d^3*e - 2*a^3*b*d*e^3)/(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + 2*b*e*x)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/((a*e - b*d)^4*(B*b^2*d - 3*A*b^2*e + 2*B*a*b*e)))*(b^2*(3*A*e - B*d) - 2*B*a*b*e))/(a*e - b*d)^4 - ((A*a^2*e^2 - 2*A*b^2*d^2 + 5*B*a*b*d^2 + B*a^2*d*e - 5*A*a*b*d*e)/(2*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) + (x*(a*e + 3*b*d)*(2*B*a*e - 3*A*b*e + B*b*d))/(2*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) + (b*e*x^2*(2*B*a*e - 3*A*b*e + B*b*d))/(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(x*(b*d^2 + 2*a*d*e) + a*d^2 + x^2*(a*e^2 + 2*b*d*e) + b*e^2*x^3)","B"
1131,1,527,200,1.607710,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^4),x)","\frac{\frac{x\,\left(-a^2\,e^2+8\,a\,b\,d\,e+11\,b^2\,d^2\right)\,\left(3\,B\,a\,e-4\,A\,b\,e+B\,b\,d\right)}{6\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}-\frac{B\,a^3\,d\,e^2+2\,A\,a^3\,e^3-8\,B\,a^2\,b\,d^2\,e-10\,A\,a^2\,b\,d\,e^2-17\,B\,a\,b^2\,d^3+26\,A\,a\,b^2\,d^2\,e+6\,A\,b^3\,d^3}{6\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}+\frac{b^2\,e^2\,x^3\,\left(3\,B\,a\,e-4\,A\,b\,e+B\,b\,d\right)}{a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4}+\frac{b\,x^2\,\left(a\,e^2+5\,b\,d\,e\right)\,\left(3\,B\,a\,e-4\,A\,b\,e+B\,b\,d\right)}{2\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}}{x^3\,\left(a\,e^3+3\,b\,d\,e^2\right)+x^2\,\left(3\,b\,d^2\,e+3\,a\,d\,e^2\right)+a\,d^3+x\,\left(b\,d^3+3\,a\,e\,d^2\right)+b\,e^3\,x^4}+\frac{\ln\left(a+b\,x\right)\,\left(b^3\,\left(4\,A\,e-B\,d\right)-3\,B\,a\,b^2\,e\right)}{{\left(a\,e-b\,d\right)}^5}+\frac{\ln\left(d+e\,x\right)\,\left(B\,b^3\,d-b^2\,e\,\left(4\,A\,b-3\,B\,a\right)\right)}{{\left(a\,e-b\,d\right)}^5}","Not used",1,"((x*(11*b^2*d^2 - a^2*e^2 + 8*a*b*d*e)*(3*B*a*e - 4*A*b*e + B*b*d))/(6*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) - (2*A*a^3*e^3 + 6*A*b^3*d^3 - 17*B*a*b^2*d^3 + B*a^3*d*e^2 + 26*A*a*b^2*d^2*e - 10*A*a^2*b*d*e^2 - 8*B*a^2*b*d^2*e)/(6*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) + (b^2*e^2*x^3*(3*B*a*e - 4*A*b*e + B*b*d))/(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3) + (b*x^2*(a*e^2 + 5*b*d*e)*(3*B*a*e - 4*A*b*e + B*b*d))/(2*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)))/(x^3*(a*e^3 + 3*b*d*e^2) + x^2*(3*a*d*e^2 + 3*b*d^2*e) + a*d^3 + x*(b*d^3 + 3*a*d^2*e) + b*e^3*x^4) + (log(a + b*x)*(b^3*(4*A*e - B*d) - 3*B*a*b^2*e))/(a*e - b*d)^5 + (log(d + e*x)*(B*b^3*d - b^2*e*(4*A*b - 3*B*a)))/(a*e - b*d)^5","B"
1132,1,767,239,1.841492,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^5),x)","\frac{\ln\left(a+b\,x\right)\,\left(B\,b^4\,d-b^3\,e\,\left(5\,A\,b-4\,B\,a\right)\right)}{{\left(a\,e-b\,d\right)}^6}-\frac{\frac{B\,a^4\,d\,e^3+3\,A\,a^4\,e^4-7\,B\,a^3\,b\,d^2\,e^2-17\,A\,a^3\,b\,d\,e^3+29\,B\,a^2\,b^2\,d^3\,e+43\,A\,a^2\,b^2\,d^2\,e^2+37\,B\,a\,b^3\,d^4-77\,A\,a\,b^3\,d^3\,e-12\,A\,b^4\,d^4}{12\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}+\frac{x\,\left(4\,B\,a\,e-5\,A\,b\,e+B\,b\,d\right)\,\left(a^3\,e^3-7\,a^2\,b\,d\,e^2+29\,a\,b^2\,d^2\,e+25\,b^3\,d^3\right)}{12\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}+\frac{b^3\,e^3\,x^4\,\left(4\,B\,a\,e-5\,A\,b\,e+B\,b\,d\right)}{a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5}+\frac{b^2\,x^3\,\left(a\,e^3+7\,b\,d\,e^2\right)\,\left(4\,B\,a\,e-5\,A\,b\,e+B\,b\,d\right)}{2\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}+\frac{b\,x^2\,\left(4\,B\,a\,e-5\,A\,b\,e+B\,b\,d\right)\,\left(-a^2\,e^3+11\,a\,b\,d\,e^2+26\,b^2\,d^2\,e\right)}{6\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}}{x^4\,\left(a\,e^4+4\,b\,d\,e^3\right)+a\,d^4+x\,\left(b\,d^4+4\,a\,e\,d^3\right)+x^2\,\left(4\,b\,d^3\,e+6\,a\,d^2\,e^2\right)+x^3\,\left(6\,b\,d^2\,e^2+4\,a\,d\,e^3\right)+b\,e^4\,x^5}+\frac{\ln\left(d+e\,x\right)\,\left(b^4\,\left(5\,A\,e-B\,d\right)-4\,B\,a\,b^3\,e\right)}{{\left(a\,e-b\,d\right)}^6}","Not used",1,"(log(a + b*x)*(B*b^4*d - b^3*e*(5*A*b - 4*B*a)))/(a*e - b*d)^6 - ((3*A*a^4*e^4 - 12*A*b^4*d^4 + 37*B*a*b^3*d^4 + B*a^4*d*e^3 + 29*B*a^2*b^2*d^3*e - 7*B*a^3*b*d^2*e^2 + 43*A*a^2*b^2*d^2*e^2 - 77*A*a*b^3*d^3*e - 17*A*a^3*b*d*e^3)/(12*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)) + (x*(4*B*a*e - 5*A*b*e + B*b*d)*(a^3*e^3 + 25*b^3*d^3 + 29*a*b^2*d^2*e - 7*a^2*b*d*e^2))/(12*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)) + (b^3*e^3*x^4*(4*B*a*e - 5*A*b*e + B*b*d))/(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4) + (b^2*x^3*(a*e^3 + 7*b*d*e^2)*(4*B*a*e - 5*A*b*e + B*b*d))/(2*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)) + (b*x^2*(4*B*a*e - 5*A*b*e + B*b*d)*(26*b^2*d^2*e - a^2*e^3 + 11*a*b*d*e^2))/(6*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)))/(x^4*(a*e^4 + 4*b*d*e^3) + a*d^4 + x*(b*d^4 + 4*a*d^3*e) + x^2*(6*a*d^2*e^2 + 4*b*d^3*e) + x^3*(6*b*d^2*e^2 + 4*a*d*e^3) + b*e^4*x^5) + (log(d + e*x)*(b^4*(5*A*e - B*d) - 4*B*a*b^3*e))/(a*e - b*d)^6","B"
1133,1,681,230,0.164935,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a + b*x)^3,x)","x^3\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{3\,b^3}-\frac{B\,a\,e^5}{b^4}\right)-\frac{x\,\left(-6\,B\,a^5\,e^5+25\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5-40\,B\,a^3\,b^2\,d^2\,e^3-20\,A\,a^3\,b^2\,d\,e^4+30\,B\,a^2\,b^3\,d^3\,e^2+30\,A\,a^2\,b^3\,d^2\,e^3-10\,B\,a\,b^4\,d^4\,e-20\,A\,a\,b^4\,d^3\,e^2+B\,b^5\,d^5+5\,A\,b^5\,d^4\,e\right)+\frac{-11\,B\,a^6\,e^5+45\,B\,a^5\,b\,d\,e^4+9\,A\,a^5\,b\,e^5-70\,B\,a^4\,b^2\,d^2\,e^3-35\,A\,a^4\,b^2\,d\,e^4+50\,B\,a^3\,b^3\,d^3\,e^2+50\,A\,a^3\,b^3\,d^2\,e^3-15\,B\,a^2\,b^4\,d^4\,e-30\,A\,a^2\,b^4\,d^3\,e^2+B\,a\,b^5\,d^5+5\,A\,a\,b^5\,d^4\,e+A\,b^6\,d^5}{2\,b}}{a^2\,b^6+2\,a\,b^7\,x+b^8\,x^2}-x^2\,\left(\frac{3\,a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^3}-\frac{3\,B\,a\,e^5}{b^4}\right)}{2\,b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{2\,b^3}+\frac{3\,B\,a^2\,e^5}{2\,b^5}\right)-x\,\left(\frac{3\,a^2\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^3}-\frac{3\,B\,a\,e^5}{b^4}\right)}{b^2}-\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{A\,e^5+5\,B\,d\,e^4}{b^3}-\frac{3\,B\,a\,e^5}{b^4}\right)}{b}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{b^3}+\frac{3\,B\,a^2\,e^5}{b^5}\right)}{b}-\frac{10\,d^2\,e^2\,\left(A\,e+B\,d\right)}{b^3}+\frac{B\,a^3\,e^5}{b^6}\right)+\frac{\ln\left(a+b\,x\right)\,\left(15\,B\,a^4\,e^5-50\,B\,a^3\,b\,d\,e^4-10\,A\,a^3\,b\,e^5+60\,B\,a^2\,b^2\,d^2\,e^3+30\,A\,a^2\,b^2\,d\,e^4-30\,B\,a\,b^3\,d^3\,e^2-30\,A\,a\,b^3\,d^2\,e^3+5\,B\,b^4\,d^4\,e+10\,A\,b^4\,d^3\,e^2\right)}{b^7}+\frac{B\,e^5\,x^4}{4\,b^3}","Not used",1,"x^3*((A*e^5 + 5*B*d*e^4)/(3*b^3) - (B*a*e^5)/b^4) - (x*(B*b^5*d^5 - 6*B*a^5*e^5 + 5*A*a^4*b*e^5 + 5*A*b^5*d^4*e - 20*A*a*b^4*d^3*e^2 - 20*A*a^3*b^2*d*e^4 + 30*A*a^2*b^3*d^2*e^3 + 30*B*a^2*b^3*d^3*e^2 - 40*B*a^3*b^2*d^2*e^3 - 10*B*a*b^4*d^4*e + 25*B*a^4*b*d*e^4) + (A*b^6*d^5 - 11*B*a^6*e^5 + 9*A*a^5*b*e^5 + B*a*b^5*d^5 - 35*A*a^4*b^2*d*e^4 - 15*B*a^2*b^4*d^4*e - 30*A*a^2*b^4*d^3*e^2 + 50*A*a^3*b^3*d^2*e^3 + 50*B*a^3*b^3*d^3*e^2 - 70*B*a^4*b^2*d^2*e^3 + 5*A*a*b^5*d^4*e + 45*B*a^5*b*d*e^4)/(2*b))/(a^2*b^6 + b^8*x^2 + 2*a*b^7*x) - x^2*((3*a*((A*e^5 + 5*B*d*e^4)/b^3 - (3*B*a*e^5)/b^4))/(2*b) - (5*d*e^3*(A*e + 2*B*d))/(2*b^3) + (3*B*a^2*e^5)/(2*b^5)) - x*((3*a^2*((A*e^5 + 5*B*d*e^4)/b^3 - (3*B*a*e^5)/b^4))/b^2 - (3*a*((3*a*((A*e^5 + 5*B*d*e^4)/b^3 - (3*B*a*e^5)/b^4))/b - (5*d*e^3*(A*e + 2*B*d))/b^3 + (3*B*a^2*e^5)/b^5))/b - (10*d^2*e^2*(A*e + B*d))/b^3 + (B*a^3*e^5)/b^6) + (log(a + b*x)*(15*B*a^4*e^5 - 10*A*a^3*b*e^5 + 5*B*b^4*d^4*e + 10*A*b^4*d^3*e^2 - 30*A*a*b^3*d^2*e^3 + 30*A*a^2*b^2*d*e^4 - 30*B*a*b^3*d^3*e^2 + 60*B*a^2*b^2*d^2*e^3 - 50*B*a^3*b*d*e^4))/b^7 + (B*e^5*x^4)/(4*b^3)","B"
1134,1,451,191,0.141485,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + b*x)^3,x)","x^2\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{2\,b^3}-\frac{3\,B\,a\,e^4}{2\,b^4}\right)-\frac{\frac{9\,B\,a^5\,e^4-28\,B\,a^4\,b\,d\,e^3-7\,A\,a^4\,b\,e^4+30\,B\,a^3\,b^2\,d^2\,e^2+20\,A\,a^3\,b^2\,d\,e^3-12\,B\,a^2\,b^3\,d^3\,e-18\,A\,a^2\,b^3\,d^2\,e^2+B\,a\,b^4\,d^4+4\,A\,a\,b^4\,d^3\,e+A\,b^5\,d^4}{2\,b}+x\,\left(5\,B\,a^4\,e^4-16\,B\,a^3\,b\,d\,e^3-4\,A\,a^3\,b\,e^4+18\,B\,a^2\,b^2\,d^2\,e^2+12\,A\,a^2\,b^2\,d\,e^3-8\,B\,a\,b^3\,d^3\,e-12\,A\,a\,b^3\,d^2\,e^2+B\,b^4\,d^4+4\,A\,b^4\,d^3\,e\right)}{a^2\,b^5+2\,a\,b^6\,x+b^7\,x^2}-x\,\left(\frac{3\,a\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b^3}-\frac{3\,B\,a\,e^4}{b^4}\right)}{b}-\frac{2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{b^3}+\frac{3\,B\,a^2\,e^4}{b^5}\right)+\frac{\ln\left(a+b\,x\right)\,\left(-10\,B\,a^3\,e^4+24\,B\,a^2\,b\,d\,e^3+6\,A\,a^2\,b\,e^4-18\,B\,a\,b^2\,d^2\,e^2-12\,A\,a\,b^2\,d\,e^3+4\,B\,b^3\,d^3\,e+6\,A\,b^3\,d^2\,e^2\right)}{b^6}+\frac{B\,e^4\,x^3}{3\,b^3}","Not used",1,"x^2*((A*e^4 + 4*B*d*e^3)/(2*b^3) - (3*B*a*e^4)/(2*b^4)) - ((A*b^5*d^4 + 9*B*a^5*e^4 - 7*A*a^4*b*e^4 + B*a*b^4*d^4 + 20*A*a^3*b^2*d*e^3 - 12*B*a^2*b^3*d^3*e - 18*A*a^2*b^3*d^2*e^2 + 30*B*a^3*b^2*d^2*e^2 + 4*A*a*b^4*d^3*e - 28*B*a^4*b*d*e^3)/(2*b) + x*(5*B*a^4*e^4 + B*b^4*d^4 - 4*A*a^3*b*e^4 + 4*A*b^4*d^3*e - 12*A*a*b^3*d^2*e^2 + 12*A*a^2*b^2*d*e^3 + 18*B*a^2*b^2*d^2*e^2 - 8*B*a*b^3*d^3*e - 16*B*a^3*b*d*e^3))/(a^2*b^5 + b^7*x^2 + 2*a*b^6*x) - x*((3*a*((A*e^4 + 4*B*d*e^3)/b^3 - (3*B*a*e^4)/b^4))/b - (2*d*e^2*(2*A*e + 3*B*d))/b^3 + (3*B*a^2*e^4)/b^5) + (log(a + b*x)*(6*A*a^2*b*e^4 - 10*B*a^3*e^4 + 4*B*b^3*d^3*e + 6*A*b^3*d^2*e^2 - 18*B*a*b^2*d^2*e^2 - 12*A*a*b^2*d*e^3 + 24*B*a^2*b*d*e^3))/b^6 + (B*e^4*x^3)/(3*b^3)","B"
1135,1,290,141,1.174606,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x)^3,x)","x\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{b^3}-\frac{3\,B\,a\,e^3}{b^4}\right)-\frac{\frac{-7\,B\,a^4\,e^3+15\,B\,a^3\,b\,d\,e^2+5\,A\,a^3\,b\,e^3-9\,B\,a^2\,b^2\,d^2\,e-9\,A\,a^2\,b^2\,d\,e^2+B\,a\,b^3\,d^3+3\,A\,a\,b^3\,d^2\,e+A\,b^4\,d^3}{2\,b}+x\,\left(-4\,B\,a^3\,e^3+9\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3-6\,B\,a\,b^2\,d^2\,e-6\,A\,a\,b^2\,d\,e^2+B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{a^2\,b^4+2\,a\,b^5\,x+b^6\,x^2}+\frac{\ln\left(a+b\,x\right)\,\left(6\,B\,a^2\,e^3-9\,B\,a\,b\,d\,e^2-3\,A\,a\,b\,e^3+3\,B\,b^2\,d^2\,e+3\,A\,b^2\,d\,e^2\right)}{b^5}+\frac{B\,e^3\,x^2}{2\,b^3}","Not used",1,"x*((A*e^3 + 3*B*d*e^2)/b^3 - (3*B*a*e^3)/b^4) - ((A*b^4*d^3 - 7*B*a^4*e^3 + 5*A*a^3*b*e^3 + B*a*b^3*d^3 - 9*A*a^2*b^2*d*e^2 - 9*B*a^2*b^2*d^2*e + 3*A*a*b^3*d^2*e + 15*B*a^3*b*d*e^2)/(2*b) + x*(B*b^3*d^3 - 4*B*a^3*e^3 + 3*A*a^2*b*e^3 + 3*A*b^3*d^2*e - 6*A*a*b^2*d*e^2 - 6*B*a*b^2*d^2*e + 9*B*a^2*b*d*e^2))/(a^2*b^4 + b^6*x^2 + 2*a*b^5*x) + (log(a + b*x)*(6*B*a^2*e^3 - 3*A*a*b*e^3 + 3*A*b^2*d*e^2 + 3*B*b^2*d^2*e - 9*B*a*b*d*e^2))/b^5 + (B*e^3*x^2)/(2*b^3)","B"
1136,1,170,103,0.128734,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x)^3,x)","\frac{\ln\left(a+b\,x\right)\,\left(A\,b\,e^2-3\,B\,a\,e^2+2\,B\,b\,d\,e\right)}{b^4}-\frac{x\,\left(3\,B\,a^2\,e^2-4\,B\,a\,b\,d\,e-2\,A\,a\,b\,e^2+B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)+\frac{5\,B\,a^3\,e^2-6\,B\,a^2\,b\,d\,e-3\,A\,a^2\,b\,e^2+B\,a\,b^2\,d^2+2\,A\,a\,b^2\,d\,e+A\,b^3\,d^2}{2\,b}}{a^2\,b^3+2\,a\,b^4\,x+b^5\,x^2}+\frac{B\,e^2\,x}{b^3}","Not used",1,"(log(a + b*x)*(A*b*e^2 - 3*B*a*e^2 + 2*B*b*d*e))/b^4 - (x*(3*B*a^2*e^2 + B*b^2*d^2 - 2*A*a*b*e^2 + 2*A*b^2*d*e - 4*B*a*b*d*e) + (A*b^3*d^2 + 5*B*a^3*e^2 - 3*A*a^2*b*e^2 + B*a*b^2*d^2 + 2*A*a*b^2*d*e - 6*B*a^2*b*d*e)/(2*b))/(a^2*b^3 + b^5*x^2 + 2*a*b^4*x) + (B*e^2*x)/b^3","B"
1137,1,82,69,1.121444,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x)^3,x)","\frac{B\,e\,\ln\left(a+b\,x\right)}{b^3}-\frac{\frac{A\,b^2\,d-3\,B\,a^2\,e+A\,a\,b\,e+B\,a\,b\,d}{2\,b^3}+\frac{x\,\left(A\,b\,e-2\,B\,a\,e+B\,b\,d\right)}{b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"(B*e*log(a + b*x))/b^3 - ((A*b^2*d - 3*B*a^2*e + A*a*b*e + B*a*b*d)/(2*b^3) + (x*(A*b*e - 2*B*a*e + B*b*d))/b^2)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
1138,1,39,28,0.029539,"\text{Not used}","int((A + B*x)/(a + b*x)^3,x)","-\frac{\frac{A\,b+B\,a}{2\,b^2}+\frac{B\,x}{b}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"-((A*b + B*a)/(2*b^2) + (B*x)/b)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
1139,1,228,113,1.260718,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)),x)","-\frac{\frac{A\,b^2\,d+B\,a^2\,e-3\,A\,a\,b\,e+B\,a\,b\,d}{2\,b\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}-\frac{b\,x\,\left(A\,e-B\,d\right)}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}}{a^2+2\,a\,b\,x+b^2\,x^2}-\frac{2\,e\,\mathrm{atanh}\left(\frac{\left(\frac{a^3\,e^3-a^2\,b\,d\,e^2-a\,b^2\,d^2\,e+b^3\,d^3}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}+2\,b\,e\,x\right)\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{{\left(a\,e-b\,d\right)}^3}\right)\,\left(A\,e-B\,d\right)}{{\left(a\,e-b\,d\right)}^3}","Not used",1,"- ((A*b^2*d + B*a^2*e - 3*A*a*b*e + B*a*b*d)/(2*b*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) - (b*x*(A*e - B*d))/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(a^2 + b^2*x^2 + 2*a*b*x) - (2*e*atanh((((a^3*e^3 + b^3*d^3 - a*b^2*d^2*e - a^2*b*d*e^2)/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e) + 2*b*e*x)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(a*e - b*d)^3)*(A*e - B*d))/(a*e - b*d)^3","B"
1140,1,453,158,1.464736,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^2),x)","\frac{\frac{5\,B\,a^2\,d\,e-2\,A\,a^2\,e^2+B\,a\,b\,d^2-5\,A\,a\,b\,d\,e+A\,b^2\,d^2}{2\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}+\frac{x\,\left(3\,a\,e+b\,d\right)\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)}{2\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}+\frac{b\,e\,x^2\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)}{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}}{x\,\left(e\,a^2+2\,b\,d\,a\right)+a^2\,d+x^2\,\left(d\,b^2+2\,a\,e\,b\right)+b^2\,e\,x^3}-\frac{2\,\mathrm{atanh}\left(\frac{\left(e^2\,\left(3\,A\,b-B\,a\right)-2\,B\,b\,d\,e\right)\,\left(\frac{a^4\,e^4-2\,a^3\,b\,d\,e^3+2\,a\,b^3\,d^3\,e-b^4\,d^4}{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}+2\,b\,e\,x\right)\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}{{\left(a\,e-b\,d\right)}^4\,\left(B\,a\,e^2-3\,A\,b\,e^2+2\,B\,b\,d\,e\right)}\right)\,\left(e^2\,\left(3\,A\,b-B\,a\right)-2\,B\,b\,d\,e\right)}{{\left(a\,e-b\,d\right)}^4}","Not used",1,"((A*b^2*d^2 - 2*A*a^2*e^2 + B*a*b*d^2 + 5*B*a^2*d*e - 5*A*a*b*d*e)/(2*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) + (x*(3*a*e + b*d)*(B*a*e - 3*A*b*e + 2*B*b*d))/(2*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) + (b*e*x^2*(B*a*e - 3*A*b*e + 2*B*b*d))/(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(x*(a^2*e + 2*a*b*d) + a^2*d + x^2*(b^2*d + 2*a*b*e) + b^2*e*x^3) - (2*atanh(((e^2*(3*A*b - B*a) - 2*B*b*d*e)*((a^4*e^4 - b^4*d^4 + 2*a*b^3*d^3*e - 2*a^3*b*d*e^3)/(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + 2*b*e*x)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/((a*e - b*d)^4*(B*a*e^2 - 3*A*b*e^2 + 2*B*b*d*e)))*(e^2*(3*A*b - B*a) - 2*B*b*d*e))/(a*e - b*d)^4","B"
1141,1,726,199,1.673589,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^3),x)","\frac{2\,\mathrm{atanh}\left(\frac{\left(3\,b\,e^2\,\left(2\,A\,b-B\,a\right)-3\,B\,b^2\,d\,e\right)\,\left(\frac{a^5\,e^5-3\,a^4\,b\,d\,e^4+2\,a^3\,b^2\,d^2\,e^3+2\,a^2\,b^3\,d^3\,e^2-3\,a\,b^4\,d^4\,e+b^5\,d^5}{a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4}+2\,b\,e\,x\right)\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}{{\left(a\,e-b\,d\right)}^5\,\left(-6\,A\,b^2\,e^2+3\,B\,d\,b^2\,e+3\,B\,a\,b\,e^2\right)}\right)\,\left(3\,b\,e^2\,\left(2\,A\,b-B\,a\right)-3\,B\,b^2\,d\,e\right)}{{\left(a\,e-b\,d\right)}^5}-\frac{\frac{B\,a^3\,d\,e^2+A\,a^3\,e^3+10\,B\,a^2\,b\,d^2\,e-7\,A\,a^2\,b\,d\,e^2+B\,a\,b^2\,d^3-7\,A\,a\,b^2\,d^2\,e+A\,b^3\,d^3}{2\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}+\frac{9\,x^2\,\left(d\,b^2\,e+a\,b\,e^2\right)\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{2\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}+\frac{x\,\left(a^2\,e^2+7\,a\,b\,d\,e+b^2\,d^2\right)\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4}+\frac{3\,b^2\,e^2\,x^3\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4}}{x\,\left(2\,e\,a^2\,d+2\,b\,a\,d^2\right)+x^2\,\left(a^2\,e^2+4\,a\,b\,d\,e+b^2\,d^2\right)+x^3\,\left(2\,d\,b^2\,e+2\,a\,b\,e^2\right)+a^2\,d^2+b^2\,e^2\,x^4}","Not used",1,"(2*atanh(((3*b*e^2*(2*A*b - B*a) - 3*B*b^2*d*e)*((a^5*e^5 + b^5*d^5 + 2*a^2*b^3*d^3*e^2 + 2*a^3*b^2*d^2*e^3 - 3*a*b^4*d^4*e - 3*a^4*b*d*e^4)/(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3) + 2*b*e*x)*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3))/((a*e - b*d)^5*(3*B*a*b*e^2 - 6*A*b^2*e^2 + 3*B*b^2*d*e)))*(3*b*e^2*(2*A*b - B*a) - 3*B*b^2*d*e))/(a*e - b*d)^5 - ((A*a^3*e^3 + A*b^3*d^3 + B*a*b^2*d^3 + B*a^3*d*e^2 - 7*A*a*b^2*d^2*e - 7*A*a^2*b*d*e^2 + 10*B*a^2*b*d^2*e)/(2*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) + (9*x^2*(a*b*e^2 + b^2*d*e)*(B*a*e - 2*A*b*e + B*b*d))/(2*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)) + (x*(a^2*e^2 + b^2*d^2 + 7*a*b*d*e)*(B*a*e - 2*A*b*e + B*b*d))/(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3) + (3*b^2*e^2*x^3*(B*a*e - 2*A*b*e + B*b*d))/(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3))/(x*(2*a*b*d^2 + 2*a^2*d*e) + x^2*(a^2*e^2 + b^2*d^2 + 4*a*b*d*e) + x^3*(2*a*b*e^2 + 2*b^2*d*e) + a^2*d^2 + b^2*e^2*x^4)","B"
1142,1,1030,248,1.906752,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^4),x)","\frac{\frac{-B\,a^4\,d\,e^3-2\,A\,a^4\,e^4+11\,B\,a^3\,b\,d^2\,e^2+13\,A\,a^3\,b\,d\,e^3+47\,B\,a^2\,b^2\,d^3\,e-47\,A\,a^2\,b^2\,d^2\,e^2+3\,B\,a\,b^3\,d^4-27\,A\,a\,b^3\,d^3\,e+3\,A\,b^4\,d^4}{6\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}+\frac{x\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)\,\left(-a^3\,e^3+11\,a^2\,b\,d\,e^2+35\,a\,b^2\,d^2\,e+3\,b^3\,d^3\right)}{6\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}+\frac{2\,b^3\,e^3\,x^4\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)}{a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5}+\frac{b\,x^3\,\left(5\,d\,b^2\,e^2+3\,a\,b\,e^3\right)\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)}{a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5}+\frac{b\,x^2\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)\,\left(2\,a^2\,e^3+23\,a\,b\,d\,e^2+11\,b^2\,d^2\,e\right)}{3\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}}{x^2\,\left(3\,a^2\,d\,e^2+6\,a\,b\,d^2\,e+b^2\,d^3\right)+x^3\,\left(a^2\,e^3+6\,a\,b\,d\,e^2+3\,b^2\,d^2\,e\right)+x\,\left(3\,e\,a^2\,d^2+2\,b\,a\,d^3\right)+x^4\,\left(3\,d\,b^2\,e^2+2\,a\,b\,e^3\right)+a^2\,d^3+b^2\,e^3\,x^5}-\frac{2\,\mathrm{atanh}\left(\frac{\left(2\,b^2\,e^2\,\left(5\,A\,b-3\,B\,a\right)-4\,B\,b^3\,d\,e\right)\,\left(a^6\,e^6-4\,a^5\,b\,d\,e^5+5\,a^4\,b^2\,d^2\,e^4-5\,a^2\,b^4\,d^4\,e^2+4\,a\,b^5\,d^5\,e-b^6\,d^6\right)}{{\left(a\,e-b\,d\right)}^6\,\left(-10\,A\,b^3\,e^2+4\,B\,d\,b^3\,e+6\,B\,a\,b^2\,e^2\right)}+\frac{2\,b\,e\,x\,\left(2\,b^2\,e^2\,\left(5\,A\,b-3\,B\,a\right)-4\,B\,b^3\,d\,e\right)\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}{{\left(a\,e-b\,d\right)}^6\,\left(-10\,A\,b^3\,e^2+4\,B\,d\,b^3\,e+6\,B\,a\,b^2\,e^2\right)}\right)\,\left(2\,b^2\,e^2\,\left(5\,A\,b-3\,B\,a\right)-4\,B\,b^3\,d\,e\right)}{{\left(a\,e-b\,d\right)}^6}","Not used",1,"((3*A*b^4*d^4 - 2*A*a^4*e^4 + 3*B*a*b^3*d^4 - B*a^4*d*e^3 + 47*B*a^2*b^2*d^3*e + 11*B*a^3*b*d^2*e^2 - 47*A*a^2*b^2*d^2*e^2 - 27*A*a*b^3*d^3*e + 13*A*a^3*b*d*e^3)/(6*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)) + (x*(3*B*a*e - 5*A*b*e + 2*B*b*d)*(3*b^3*d^3 - a^3*e^3 + 35*a*b^2*d^2*e + 11*a^2*b*d*e^2))/(6*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)) + (2*b^3*e^3*x^4*(3*B*a*e - 5*A*b*e + 2*B*b*d))/(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4) + (b*x^3*(5*b^2*d*e^2 + 3*a*b*e^3)*(3*B*a*e - 5*A*b*e + 2*B*b*d))/(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4) + (b*x^2*(3*B*a*e - 5*A*b*e + 2*B*b*d)*(2*a^2*e^3 + 11*b^2*d^2*e + 23*a*b*d*e^2))/(3*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4)))/(x^2*(b^2*d^3 + 3*a^2*d*e^2 + 6*a*b*d^2*e) + x^3*(a^2*e^3 + 3*b^2*d^2*e + 6*a*b*d*e^2) + x*(3*a^2*d^2*e + 2*a*b*d^3) + x^4*(3*b^2*d*e^2 + 2*a*b*e^3) + a^2*d^3 + b^2*e^3*x^5) - (2*atanh(((2*b^2*e^2*(5*A*b - 3*B*a) - 4*B*b^3*d*e)*(a^6*e^6 - b^6*d^6 - 5*a^2*b^4*d^4*e^2 + 5*a^4*b^2*d^2*e^4 + 4*a*b^5*d^5*e - 4*a^5*b*d*e^5))/((a*e - b*d)^6*(4*B*b^3*d*e - 10*A*b^3*e^2 + 6*B*a*b^2*e^2)) + (2*b*e*x*(2*b^2*e^2*(5*A*b - 3*B*a) - 4*B*b^3*d*e)*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4))/((a*e - b*d)^6*(4*B*b^3*d*e - 10*A*b^3*e^2 + 6*B*a*b^2*e^2)))*(2*b^2*e^2*(5*A*b - 3*B*a) - 4*B*b^3*d*e))/(a*e - b*d)^6","B"
1143,1,54,34,0.060426,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^8*(5*x + 3),x)","-\frac{65610\,x^{11}}{11}-\frac{356481\,x^{10}}{10}-92421\,x^9-133164\,x^8-110160\,x^7-41328\,x^6+\frac{62496\,x^5}{5}+24576\,x^4+\frac{42752\,x^3}{3}+4480\,x^2+768\,x","Not used",1,"768*x + 4480*x^2 + (42752*x^3)/3 + 24576*x^4 + (62496*x^5)/5 - 41328*x^6 - 110160*x^7 - 133164*x^8 - 92421*x^9 - (356481*x^10)/10 - (65610*x^11)/11","B"
1144,1,49,34,0.043133,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^7*(5*x + 3),x)","-2187\,x^{10}-11583\,x^9-\frac{207765\,x^8}{8}-30942\,x^7-18774\,x^6-1512\,x^5+6468\,x^4+\frac{15520\,x^3}{3}+1952\,x^2+384\,x","Not used",1,"384*x + 1952*x^2 + (15520*x^3)/3 + 6468*x^4 - 1512*x^5 - 18774*x^6 - 30942*x^7 - (207765*x^8)/8 - 11583*x^9 - 2187*x^10","B"
1145,1,44,34,0.034812,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^6*(5*x + 3),x)","-810\,x^9-\frac{29889\,x^8}{8}-7047\,x^7-6552\,x^6-2268\,x^5+1260\,x^4+\frac{5264\,x^3}{3}+832\,x^2+192\,x","Not used",1,"192*x + 832*x^2 + (5264*x^3)/3 + 1260*x^4 - 2268*x^5 - 6552*x^6 - 7047*x^7 - (29889*x^8)/8 - 810*x^9","B"
1146,1,39,34,0.028411,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^5*(5*x + 3),x)","-\frac{1215\,x^8}{4}-\frac{8343\,x^7}{7}-\frac{3627\,x^6}{2}-1170\,x^5+30\,x^4+\frac{1600\,x^3}{3}+344\,x^2+96\,x","Not used",1,"96*x + 344*x^2 + (1600*x^3)/3 + 30*x^4 - 1170*x^5 - (3627*x^6)/2 - (8343*x^7)/7 - (1215*x^8)/4","B"
1147,1,34,34,0.024966,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^4*(5*x + 3),x)","-\frac{810\,x^7}{7}-\frac{747\,x^6}{2}-\frac{2133\,x^5}{5}-132\,x^4+\frac{392\,x^3}{3}+136\,x^2+48\,x","Not used",1,"48*x + 136*x^2 + (392*x^3)/3 - 132*x^4 - (2133*x^5)/5 - (747*x^6)/2 - (810*x^7)/7","B"
1148,1,29,34,0.022054,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^3*(5*x + 3),x)","-45\,x^6-\frac{567\,x^5}{5}-\frac{333\,x^4}{4}+\frac{46\,x^3}{3}+50\,x^2+24\,x","Not used",1,"24*x + 50*x^2 + (46*x^3)/3 - (333*x^4)/4 - (567*x^5)/5 - 45*x^6","B"
1149,1,24,28,0.020545,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^2*(5*x + 3),x)","-18\,x^5-\frac{129\,x^4}{4}-\frac{25\,x^3}{3}+16\,x^2+12\,x","Not used",1,"12*x + 16*x^2 - (25*x^3)/3 - (129*x^4)/4 - 18*x^5","B"
1150,1,19,25,0.034374,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)*(5*x + 3),x)","-\frac{15\,x^4}{2}-\frac{23\,x^3}{3}+\frac{7\,x^2}{2}+6\,x","Not used",1,"6*x + (7*x^2)/2 - (23*x^3)/3 - (15*x^4)/2","B"
1151,1,13,18,0.026802,"\text{Not used}","int(-(2*x - 1)*(5*x + 3),x)","-\frac{x\,\left(20\,x^2+3\,x-18\right)}{6}","Not used",1,"-(x*(3*x + 20*x^2 - 18))/6","B"
1152,1,15,23,0.033661,"\text{Not used}","int(-((2*x - 1)*(5*x + 3))/(3*x + 2),x)","\frac{17\,x}{9}-\frac{7\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{5\,x^2}{3}","Not used",1,"(17*x)/9 - (7*log(x + 2/3))/27 - (5*x^2)/3","B"
1153,1,19,27,1.101001,"\text{Not used}","int(-((2*x - 1)*(5*x + 3))/(3*x + 2)^2,x)","\frac{37\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{10\,x}{9}+\frac{7}{81\,\left(x+\frac{2}{3}\right)}","Not used",1,"(37*log(x + 2/3))/27 - (10*x)/9 + 7/(81*(x + 2/3))","B"
1154,1,24,33,1.096204,"\text{Not used}","int(-((2*x - 1)*(5*x + 3))/(3*x + 2)^3,x)","-\frac{10\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{\frac{37\,x}{81}+\frac{47}{162}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"- (10*log(x + 2/3))/27 - ((37*x)/81 + 47/162)/((4*x)/3 + x^2 + 4/9)","B"
1155,1,28,34,1.099774,"\text{Not used}","int(-((2*x - 1)*(5*x + 3))/(3*x + 2)^4,x)","\frac{10}{27\,\left(3\,x+2\right)}-\frac{37}{54\,{\left(3\,x+2\right)}^2}+\frac{7}{81\,{\left(3\,x+2\right)}^3}","Not used",1,"10/(27*(3*x + 2)) - 37/(54*(3*x + 2)^2) + 7/(81*(3*x + 2)^3)","B"
1156,1,28,34,1.112571,"\text{Not used}","int(-((2*x - 1)*(5*x + 3))/(3*x + 2)^5,x)","\frac{5}{27\,{\left(3\,x+2\right)}^2}-\frac{37}{81\,{\left(3\,x+2\right)}^3}+\frac{7}{108\,{\left(3\,x+2\right)}^4}","Not used",1,"5/(27*(3*x + 2)^2) - 37/(81*(3*x + 2)^3) + 7/(108*(3*x + 2)^4)","B"
1157,1,28,34,1.115420,"\text{Not used}","int(-((2*x - 1)*(5*x + 3))/(3*x + 2)^6,x)","\frac{10}{81\,{\left(3\,x+2\right)}^3}-\frac{37}{108\,{\left(3\,x+2\right)}^4}+\frac{7}{135\,{\left(3\,x+2\right)}^5}","Not used",1,"10/(81*(3*x + 2)^3) - 37/(108*(3*x + 2)^4) + 7/(135*(3*x + 2)^5)","B"
1158,1,59,45,0.065811,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^8*(5*x + 3)^2,x)","-\frac{54675\,x^{12}}{2}-\frac{1979235\,x^{11}}{11}-\frac{2614194\,x^{10}}{5}-869103\,x^9-881442\,x^8-507600\,x^7-71904\,x^6+\frac{679008\,x^5}{5}+127168\,x^4+\frac{173056\,x^3}{3}+15360\,x^2+2304\,x","Not used",1,"2304*x + 15360*x^2 + (173056*x^3)/3 + 127168*x^4 + (679008*x^5)/5 - 71904*x^6 - 507600*x^7 - 881442*x^8 - 869103*x^9 - (2614194*x^10)/5 - (1979235*x^11)/11 - (54675*x^12)/2","B"
1159,1,54,45,0.051431,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^7*(5*x + 3)^2,x)","-\frac{109350\,x^{11}}{11}-\frac{117369\,x^{10}}{2}-150174\,x^9-\frac{1706265\,x^8}{8}-173286\,x^7-62622\,x^6+21336\,x^5+38804\,x^4+\frac{66080\,x^3}{3}+6816\,x^2+1152\,x","Not used",1,"1152*x + 6816*x^2 + (66080*x^3)/3 + 38804*x^4 + 21336*x^5 - 62622*x^6 - 173286*x^7 - (1706265*x^8)/8 - 150174*x^9 - (117369*x^10)/2 - (109350*x^11)/11","B"
1160,1,49,45,0.042104,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^6*(5*x + 3)^2,x)","-3645\,x^{10}-19035\,x^9-42039\,x^8-49221\,x^7-29106\,x^6-1764\,x^5+10360\,x^4+\frac{24112\,x^3}{3}+2976\,x^2+576\,x","Not used",1,"576*x + 2976*x^2 + (24112*x^3)/3 + 10360*x^4 - 1764*x^5 - 29106*x^6 - 49221*x^7 - 42039*x^8 - 19035*x^9 - 3645*x^10","B"
1161,1,44,45,0.033431,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^5*(5*x + 3)^2,x)","-1350\,x^9-\frac{49005\,x^8}{8}-\frac{79434\,x^7}{7}-\frac{20631\,x^6}{2}-3390\,x^5+2090\,x^4+\frac{8240\,x^3}{3}+1272\,x^2+288\,x","Not used",1,"288*x + 1272*x^2 + (8240*x^3)/3 + 2090*x^4 - 3390*x^5 - (20631*x^6)/2 - (79434*x^7)/7 - (49005*x^8)/8 - 1350*x^9","B"
1162,1,39,45,0.028983,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^4*(5*x + 3)^2,x)","-\frac{2025\,x^8}{4}-\frac{13635\,x^7}{7}-2898\,x^6-\frac{9039\,x^5}{5}+94\,x^4+\frac{2536\,x^3}{3}+528\,x^2+144\,x","Not used",1,"144*x + 528*x^2 + (2536*x^3)/3 + 94*x^4 - (9039*x^5)/5 - 2898*x^6 - (13635*x^7)/7 - (2025*x^8)/4","B"
1163,1,34,44,0.026100,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^3*(5*x + 3)^2,x)","-\frac{1350\,x^7}{7}-\frac{1215\,x^6}{2}-\frac{3366\,x^5}{5}-\frac{769\,x^4}{4}+\frac{638\,x^3}{3}+210\,x^2+72\,x","Not used",1,"72*x + 210*x^2 + (638*x^3)/3 - (769*x^4)/4 - (3366*x^5)/5 - (1215*x^6)/2 - (1350*x^7)/7","B"
1164,1,29,31,0.022635,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^2*(5*x + 3)^2,x)","-75\,x^6-183\,x^5-128\,x^4+\frac{85\,x^3}{3}+78\,x^2+36\,x","Not used",1,"36*x + 78*x^2 + (85*x^3)/3 - 128*x^4 - 183*x^5 - 75*x^6","B"
1165,1,24,30,0.021885,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)*(5*x + 3)^2,x)","-30\,x^5-\frac{205\,x^4}{4}-\frac{34\,x^3}{3}+\frac{51\,x^2}{2}+18\,x","Not used",1,"18*x + (51*x^2)/2 - (34*x^3)/3 - (205*x^4)/4 - 30*x^5","B"
1166,1,19,23,0.032673,"\text{Not used}","int(-(2*x - 1)*(5*x + 3)^2,x)","-\frac{25\,x^4}{2}-\frac{35\,x^3}{3}+6\,x^2+9\,x","Not used",1,"9*x + 6*x^2 - (35*x^3)/3 - (25*x^4)/2","B"
1167,1,20,30,0.030284,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2),x)","\frac{118\,x}{27}+\frac{7\,\ln\left(x+\frac{2}{3}\right)}{81}-\frac{5\,x^2}{18}-\frac{50\,x^3}{9}","Not used",1,"(118*x)/27 + (7*log(x + 2/3))/81 - (5*x^2)/18 - (50*x^3)/9","B"
1168,1,24,34,0.031130,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^2,x)","\frac{95\,x}{27}-\frac{8\,\ln\left(x+\frac{2}{3}\right)}{9}-\frac{7}{243\,\left(x+\frac{2}{3}\right)}-\frac{25\,x^2}{9}","Not used",1,"(95*x)/27 - (8*log(x + 2/3))/9 - 7/(243*(x + 2/3)) - (25*x^2)/9","B"
1169,1,26,38,0.033988,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^3,x)","\frac{65\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{50\,x}{27}+\frac{\frac{8\,x}{27}+\frac{281}{1458}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"(65*log(x + 2/3))/27 - (50*x)/27 + ((8*x)/27 + 281/1458)/((4*x)/3 + x^2 + 4/9)","B"
1170,1,34,44,0.036281,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^4,x)","-\frac{50\,\ln\left(x+\frac{2}{3}\right)}{81}-\frac{\frac{65\,x^2}{81}+\frac{248\,x}{243}+\frac{2131}{6561}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"- (50*log(x + 2/3))/81 - ((248*x)/243 + (65*x^2)/81 + 2131/6561)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1171,1,37,37,1.105114,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^5,x)","\frac{50}{81\,\left(3\,x+2\right)}-\frac{65}{54\,{\left(3\,x+2\right)}^2}+\frac{8}{27\,{\left(3\,x+2\right)}^3}-\frac{7}{324\,{\left(3\,x+2\right)}^4}","Not used",1,"50/(81*(3*x + 2)) - 65/(54*(3*x + 2)^2) + 8/(27*(3*x + 2)^3) - 7/(324*(3*x + 2)^4)","B"
1172,1,37,45,1.095039,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^6,x)","\frac{25}{81\,{\left(3\,x+2\right)}^2}-\frac{65}{81\,{\left(3\,x+2\right)}^3}+\frac{2}{9\,{\left(3\,x+2\right)}^4}-\frac{7}{405\,{\left(3\,x+2\right)}^5}","Not used",1,"25/(81*(3*x + 2)^2) - 65/(81*(3*x + 2)^3) + 2/(9*(3*x + 2)^4) - 7/(405*(3*x + 2)^5)","B"
1173,1,37,45,0.043811,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^7,x)","\frac{50}{243\,{\left(3\,x+2\right)}^3}-\frac{65}{108\,{\left(3\,x+2\right)}^4}+\frac{8}{45\,{\left(3\,x+2\right)}^5}-\frac{7}{486\,{\left(3\,x+2\right)}^6}","Not used",1,"50/(243*(3*x + 2)^3) - 65/(108*(3*x + 2)^4) + 8/(45*(3*x + 2)^5) - 7/(486*(3*x + 2)^6)","B"
1174,1,37,45,1.107253,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^2)/(3*x + 2)^8,x)","\frac{25}{162\,{\left(3\,x+2\right)}^4}-\frac{13}{27\,{\left(3\,x+2\right)}^5}+\frac{4}{27\,{\left(3\,x+2\right)}^6}-\frac{1}{81\,{\left(3\,x+2\right)}^7}","Not used",1,"25/(162*(3*x + 2)^4) - 13/(27*(3*x + 2)^5) + 4/(27*(3*x + 2)^6) - 1/(81*(3*x + 2)^7)","B"
1175,1,64,56,0.077873,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^8*(5*x + 3)^3,x)","-\frac{1640250\,x^{13}}{13}-\frac{3626775\,x^{12}}{4}-\frac{32079645\,x^{11}}{11}-\frac{54794799\,x^{10}}{10}-6524829\,x^9-4865076\,x^8-1830960\,x^7+350128\,x^6+\frac{4580384\,x^5}{5}+597824\,x^4+224256\,x^3+51840\,x^2+6912\,x","Not used",1,"6912*x + 51840*x^2 + 224256*x^3 + 597824*x^4 + (4580384*x^5)/5 + 350128*x^6 - 1830960*x^7 - 4865076*x^8 - 6524829*x^9 - (54794799*x^10)/10 - (32079645*x^11)/11 - (3626775*x^12)/4 - (1640250*x^13)/13","B"
1176,1,59,56,0.065237,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^7*(5*x + 3)^3,x)","-\frac{91125\,x^{12}}{2}-\frac{3262275\,x^{11}}{11}-\frac{1703673\,x^{10}}{2}-1398447\,x^9-\frac{11183805\,x^8}{8}-788238\,x^7-98966\,x^6+219224\,x^5+199012\,x^4+88800\,x^3+23328\,x^2+3456\,x","Not used",1,"3456*x + 23328*x^2 + 88800*x^3 + 199012*x^4 + 219224*x^5 - 98966*x^6 - 788238*x^7 - (11183805*x^8)/8 - 1398447*x^9 - (1703673*x^10)/2 - (3262275*x^11)/11 - (91125*x^12)/2","B"
1177,1,54,56,0.053960,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^6*(5*x + 3)^3,x)","-\frac{182250\,x^{11}}{11}-\frac{193185\,x^{10}}{2}-243945\,x^9-\frac{2731671\,x^8}{8}-272403\,x^7-94668\,x^6+36148\,x^5+61220\,x^4+34032\,x^3+10368\,x^2+1728\,x","Not used",1,"1728*x + 10368*x^2 + 34032*x^3 + 61220*x^4 + 36148*x^5 - 94668*x^6 - 272403*x^7 - (2731671*x^8)/8 - 243945*x^9 - (193185*x^10)/2 - (182250*x^11)/11","B"
1178,1,49,56,0.044046,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^5*(5*x + 3)^3,x)","-6075\,x^{10}-31275\,x^9-\frac{544185\,x^8}{8}-\frac{547767\,x^7}{7}-\frac{90143\,x^6}{2}-1810\,x^5+16570\,x^4+12480\,x^3+4536\,x^2+864\,x","Not used",1,"864*x + 4536*x^2 + 12480*x^3 + 16570*x^4 - 1810*x^5 - (90143*x^6)/2 - (547767*x^7)/7 - (544185*x^8)/8 - 31275*x^9 - 6075*x^10","B"
1179,1,44,56,0.034153,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^4*(5*x + 3)^3,x)","-2250\,x^9-\frac{80325\,x^8}{8}-\frac{127845\,x^7}{7}-\frac{32453\,x^6}{2}-\frac{25237\,x^5}{5}+3452\,x^4+4296\,x^3+1944\,x^2+432\,x","Not used",1,"432*x + 1944*x^2 + 4296*x^3 + 3452*x^4 - (25237*x^5)/5 - (32453*x^6)/2 - (127845*x^7)/7 - (80325*x^8)/8 - 2250*x^9","B"
1180,1,39,49,0.028859,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^3*(5*x + 3)^3,x)","-\frac{3375\,x^8}{4}-\frac{22275\,x^7}{7}-\frac{9255\,x^6}{2}-\frac{13943\,x^5}{5}+\frac{883\,x^4}{4}+1338\,x^3+810\,x^2+216\,x","Not used",1,"216*x + 810*x^2 + 1338*x^3 + (883*x^4)/4 - (13943*x^5)/5 - (9255*x^6)/2 - (22275*x^7)/7 - (3375*x^8)/4","B"
1181,1,34,40,0.024858,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^2*(5*x + 3)^3,x)","-\frac{2250\,x^7}{7}-\frac{1975\,x^6}{2}-1061\,x^5-\frac{1111\,x^4}{4}+345\,x^3+324\,x^2+108\,x","Not used",1,"108*x + 324*x^2 + 345*x^3 - (1111*x^4)/4 - 1061*x^5 - (1975*x^6)/2 - (2250*x^7)/7","B"
1182,1,29,34,0.022907,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)*(5*x + 3)^3,x)","-125\,x^6-295\,x^5-\frac{785\,x^4}{4}+51\,x^3+\frac{243\,x^2}{2}+54\,x","Not used",1,"54*x + (243*x^2)/2 + 51*x^3 - (785*x^4)/4 - 295*x^5 - 125*x^6","B"
1183,1,24,23,0.019237,"\text{Not used}","int(-(2*x - 1)*(5*x + 3)^3,x)","-50\,x^5-\frac{325\,x^4}{4}-15\,x^3+\frac{81\,x^2}{2}+27\,x","Not used",1,"27*x + (81*x^2)/2 - 15*x^3 - (325*x^4)/4 - 50*x^5","B"
1184,1,25,37,0.024987,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2),x)","\frac{1097\,x}{81}-\frac{7\,\ln\left(x+\frac{2}{3}\right)}{243}+\frac{545\,x^2}{54}-\frac{475\,x^3}{27}-\frac{125\,x^4}{6}","Not used",1,"(1097*x)/81 - (7*log(x + 2/3))/243 + (545*x^2)/54 - (475*x^3)/27 - (125*x^4)/6","B"
1185,1,29,41,0.026386,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^2,x)","\frac{55\,x}{9}+\frac{107\,\ln\left(x+\frac{2}{3}\right)}{243}+\frac{7}{729\,\left(x+\frac{2}{3}\right)}+\frac{25\,x^2}{54}-\frac{250\,x^3}{27}","Not used",1,"(55*x)/9 + (107*log(x + 2/3))/243 + 7/(729*(x + 2/3)) + (25*x^2)/54 - (250*x^3)/27","B"
1186,1,32,45,0.032442,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^3,x)","\frac{175\,x}{27}-\frac{185\,\ln\left(x+\frac{2}{3}\right)}{81}-\frac{\frac{107\,x}{729}+\frac{421}{4374}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}-\frac{125\,x^2}{27}","Not used",1,"(175*x)/27 - (185*log(x + 2/3))/81 - ((107*x)/729 + 421/4374)/((4*x)/3 + x^2 + 4/9) - (125*x^2)/27","B"
1187,1,36,49,0.036051,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^4,x)","\frac{1025\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{250\,x}{81}+\frac{\frac{185\,x^2}{243}+\frac{4333\,x}{4374}+\frac{6346}{19683}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(1025*log(x + 2/3))/243 - (250*x)/81 + ((4333*x)/4374 + (185*x^2)/243 + 6346/19683)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1188,1,31,55,0.039752,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^5,x)","-\frac{250\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{\frac{1025\,x^3}{9}+\frac{435\,x^2}{2}+\frac{33677\,x}{243}+\frac{85915}{2916}}{{\left(3\,x+2\right)}^4}","Not used",1,"- (250*log(x + 2/3))/243 - ((33677*x)/243 + (435*x^2)/2 + (1025*x^3)/9 + 85915/2916)/(3*x + 2)^4","B"
1189,1,46,37,1.100325,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^6,x)","\frac{250}{243\,\left(3\,x+2\right)}-\frac{1025}{486\,{\left(3\,x+2\right)}^2}+\frac{185}{243\,{\left(3\,x+2\right)}^3}-\frac{107}{972\,{\left(3\,x+2\right)}^4}+\frac{7}{1215\,{\left(3\,x+2\right)}^5}","Not used",1,"250/(243*(3*x + 2)) - 1025/(486*(3*x + 2)^2) + 185/(243*(3*x + 2)^3) - 107/(972*(3*x + 2)^4) + 7/(1215*(3*x + 2)^5)","B"
1190,1,46,55,0.030049,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^7,x)","\frac{125}{243\,{\left(3\,x+2\right)}^2}-\frac{1025}{729\,{\left(3\,x+2\right)}^3}+\frac{185}{324\,{\left(3\,x+2\right)}^4}-\frac{107}{1215\,{\left(3\,x+2\right)}^5}+\frac{7}{1458\,{\left(3\,x+2\right)}^6}","Not used",1,"125/(243*(3*x + 2)^2) - 1025/(729*(3*x + 2)^3) + 185/(324*(3*x + 2)^4) - 107/(1215*(3*x + 2)^5) + 7/(1458*(3*x + 2)^6)","B"
1191,1,46,56,1.105404,"\text{Not used}","int(-((2*x - 1)*(5*x + 3)^3)/(3*x + 2)^8,x)","\frac{250}{729\,{\left(3\,x+2\right)}^3}-\frac{1025}{972\,{\left(3\,x+2\right)}^4}+\frac{37}{81\,{\left(3\,x+2\right)}^5}-\frac{107}{1458\,{\left(3\,x+2\right)}^6}+\frac{1}{243\,{\left(3\,x+2\right)}^7}","Not used",1,"250/(729*(3*x + 2)^3) - 1025/(972*(3*x + 2)^4) + 37/(81*(3*x + 2)^5) - 107/(1458*(3*x + 2)^6) + 1/(243*(3*x + 2)^7)","B"
1192,1,54,18,0.059773,"\text{Not used}","int((3*x + 2)^3*(2*x - 5)^6*(33*x - 16),x)","5184\,x^{11}-76896\,x^{10}+452304\,x^9-1256376\,x^8+1235404\,x^7+1497230\,x^6-3816225\,x^5-\frac{98125\,x^4}{2}+3987500\,x^3-37500\,x^2-2000000\,x","Not used",1,"3987500*x^3 - 37500*x^2 - 2000000*x - (98125*x^4)/2 - 3816225*x^5 + 1497230*x^6 + 1235404*x^7 - 1256376*x^8 + 452304*x^9 - 76896*x^10 + 5184*x^11","B"
1193,1,40,58,0.036078,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^6)/(5*x + 3),x)","\frac{1666663\,x}{78125}+\frac{11\,\ln\left(x+\frac{3}{5}\right)}{390625}+\frac{1777779\,x^2}{31250}+\frac{152469\,x^3}{3125}-\frac{152469\,x^4}{2500}-\frac{106677\,x^5}{625}-\frac{7047\,x^6}{50}-\frac{1458\,x^7}{35}","Not used",1,"(1666663*x)/78125 + (11*log(x + 3/5))/390625 + (1777779*x^2)/31250 + (152469*x^3)/3125 - (152469*x^4)/2500 - (106677*x^5)/625 - (7047*x^6)/50 - (1458*x^7)/35","B"
1194,1,35,51,0.031546,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^5)/(5*x + 3),x)","\frac{166663\,x}{15625}+\frac{11\,\ln\left(x+\frac{3}{5}\right)}{78125}+\frac{127779\,x^2}{6250}+\frac{2469\,x^3}{625}-\frac{17469\,x^4}{500}-\frac{5427\,x^5}{125}-\frac{81\,x^6}{5}","Not used",1,"(166663*x)/15625 + (11*log(x + 3/5))/78125 + (127779*x^2)/6250 + (2469*x^3)/625 - (17469*x^4)/500 - (5427*x^5)/125 - (81*x^6)/5","B"
1195,1,30,44,0.028491,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^4)/(5*x + 3),x)","\frac{16663\,x}{3125}+\frac{11\,\ln\left(x+\frac{3}{5}\right)}{15625}+\frac{7779\,x^2}{1250}-\frac{531\,x^3}{125}-\frac{1269\,x^4}{100}-\frac{162\,x^5}{25}","Not used",1,"(16663*x)/3125 + (11*log(x + 3/5))/15625 + (7779*x^2)/1250 - (531*x^3)/125 - (1269*x^4)/100 - (162*x^5)/25","B"
1196,1,25,37,0.024500,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^3)/(5*x + 3),x)","\frac{1663\,x}{625}+\frac{11\,\ln\left(x+\frac{3}{5}\right)}{3125}+\frac{279\,x^2}{250}-\frac{81\,x^3}{25}-\frac{27\,x^4}{10}","Not used",1,"(1663*x)/625 + (11*log(x + 3/5))/3125 + (279*x^2)/250 - (81*x^3)/25 - (27*x^4)/10","B"
1197,1,20,30,0.030738,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^2)/(5*x + 3),x)","\frac{163\,x}{125}+\frac{11\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{21\,x^2}{50}-\frac{6\,x^3}{5}","Not used",1,"(163*x)/125 + (11*log(x + 3/5))/625 - (21*x^2)/50 - (6*x^3)/5","B"
1198,1,15,23,0.030985,"\text{Not used}","int(-((2*x - 1)*(3*x + 2))/(5*x + 3),x)","\frac{13\,x}{25}+\frac{11\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{3\,x^2}{5}","Not used",1,"(13*x)/25 + (11*log(x + 3/5))/125 - (3*x^2)/5","B"
1199,1,10,16,0.051520,"\text{Not used}","int(-(2*x - 1)/(5*x + 3),x)","\frac{11\,\ln\left(x+\frac{3}{5}\right)}{25}-\frac{2\,x}{5}","Not used",1,"(11*log(x + 3/5))/25 - (2*x)/5","B"
1200,1,13,21,0.059001,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)*(5*x + 3)),x)","\frac{11\,\ln\left(x+\frac{3}{5}\right)}{5}-\frac{7\,\ln\left(x+\frac{2}{3}\right)}{3}","Not used",1,"(11*log(x + 3/5))/5 - (7*log(x + 2/3))/3","B"
1201,1,18,28,0.039725,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^2*(5*x + 3)),x)","\frac{7}{9\,\left(x+\frac{2}{3}\right)}-22\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"7/(9*(x + 2/3)) - 22*atanh(30*x + 19)","B"
1202,1,25,37,0.039371,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^3*(5*x + 3)),x)","\frac{\frac{11\,x}{3}+\frac{139}{54}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}-110\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((11*x)/3 + 139/54)/((4*x)/3 + x^2 + 4/9) - 110*atanh(30*x + 19)","B"
1203,1,35,48,0.040786,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^4*(5*x + 3)),x)","\frac{\frac{55\,x^2}{3}+\frac{451\,x}{18}+\frac{2086}{243}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}-550\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((451*x)/18 + (55*x^2)/3 + 2086/243)/((4*x)/3 + 2*x^2 + x^3 + 8/27) - 550*atanh(30*x + 19)","B"
1204,1,45,59,0.045635,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^5*(5*x + 3)),x)","\frac{\frac{275\,x^3}{3}+\frac{3355\,x^2}{18}+\frac{10241\,x}{81}+\frac{27815}{972}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}-2750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((10241*x)/81 + (3355*x^2)/18 + (275*x^3)/3 + 27815/972)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81) - 2750*atanh(30*x + 19)","B"
1205,1,55,70,1.092211,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^6*(5*x + 3)),x)","\frac{\frac{1375\,x^4}{3}+\frac{2475\,x^3}{2}+\frac{101530\,x^2}{81}+\frac{548713\,x}{972}+\frac{231793}{2430}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}-13750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((548713*x)/972 + (101530*x^2)/81 + (2475*x^3)/2 + (1375*x^4)/3 + 231793/2430)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243) - 13750*atanh(30*x + 19)","B"
1206,1,65,81,1.080420,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^7*(5*x + 3)),x)","\frac{\frac{6875\,x^5}{3}+\frac{138875\,x^4}{18}+\frac{841775\,x^3}{81}+\frac{756085\,x^2}{108}+\frac{955262\,x}{405}+\frac{20861381}{65610}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}-68750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((955262*x)/405 + (756085*x^2)/108 + (841775*x^3)/81 + (138875*x^4)/18 + (6875*x^5)/3 + 20861381/65610)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729) - 68750*atanh(30*x + 19)","B"
1207,1,49,69,0.042437,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^7)/(5*x + 3)^2,x)","\frac{5555478\,x}{390625}+\frac{229\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{11}{9765625\,\left(x+\frac{3}{5}\right)}+\frac{5740767\,x^2}{156250}+\frac{92592\,x^3}{3125}-\frac{513783\,x^4}{12500}-\frac{336798\,x^5}{3125}-\frac{21627\,x^6}{250}-\frac{4374\,x^7}{175}","Not used",1,"(5555478*x)/390625 + (229*log(x + 3/5))/1953125 - 11/(9765625*(x + 3/5)) + (5740767*x^2)/156250 + (92592*x^3)/3125 - (513783*x^4)/12500 - (336798*x^5)/3125 - (21627*x^6)/250 - (4374*x^7)/175","B"
1208,1,44,62,0.034849,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^6)/(5*x + 3)^2,x)","\frac{555489\,x}{78125}+\frac{196\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{11}{1953125\,\left(x+\frac{3}{5}\right)}+\frac{40743\,x^2}{3125}+\frac{5553\,x^3}{3125}-\frac{14094\,x^4}{625}-\frac{16767\,x^5}{625}-\frac{243\,x^6}{25}","Not used",1,"(555489*x)/78125 + (196*log(x + 3/5))/390625 - 11/(1953125*(x + 3/5)) + (40743*x^2)/3125 + (5553*x^3)/3125 - (14094*x^4)/625 - (16767*x^5)/625 - (243*x^6)/25","B"
1209,1,39,55,0.031628,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^5)/(5*x + 3)^2,x)","\frac{444\,x}{125}+\frac{163\,\ln\left(x+\frac{3}{5}\right)}{78125}-\frac{11}{390625\,\left(x+\frac{3}{5}\right)}+\frac{24093\,x^2}{6250}-\frac{1854\,x^3}{625}-\frac{3969\,x^4}{500}-\frac{486\,x^5}{125}","Not used",1,"(444*x)/125 + (163*log(x + 3/5))/78125 - 11/(390625*(x + 3/5)) + (24093*x^2)/6250 - (1854*x^3)/625 - (3969*x^4)/500 - (486*x^5)/125","B"
1210,1,34,48,0.027936,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^4)/(5*x + 3)^2,x)","\frac{5511\,x}{3125}+\frac{26\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{11}{78125\,\left(x+\frac{3}{5}\right)}+\frac{378\,x^2}{625}-\frac{261\,x^3}{125}-\frac{81\,x^4}{50}","Not used",1,"(5511*x)/3125 + (26*log(x + 3/5))/3125 - 11/(78125*(x + 3/5)) + (378*x^2)/625 - (261*x^3)/125 - (81*x^4)/50","B"
1211,1,29,41,0.026764,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^3)/(5*x + 3)^2,x)","\frac{522\,x}{625}+\frac{97\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{11}{15625\,\left(x+\frac{3}{5}\right)}-\frac{81\,x^2}{250}-\frac{18\,x^3}{25}","Not used",1,"(522*x)/625 + (97*log(x + 3/5))/3125 - 11/(15625*(x + 3/5)) - (81*x^2)/250 - (18*x^3)/25","B"
1212,1,24,34,0.034274,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^2)/(5*x + 3)^2,x)","\frac{33\,x}{125}+\frac{64\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{11}{3125\,\left(x+\frac{3}{5}\right)}-\frac{9\,x^2}{25}","Not used",1,"(33*x)/125 + (64*log(x + 3/5))/625 - 11/(3125*(x + 3/5)) - (9*x^2)/25","B"
1213,1,19,27,1.081883,"\text{Not used}","int(-((2*x - 1)*(3*x + 2))/(5*x + 3)^2,x)","\frac{31\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{6\,x}{25}-\frac{11}{625\,\left(x+\frac{3}{5}\right)}","Not used",1,"(31*log(x + 3/5))/125 - (6*x)/25 - 11/(625*(x + 3/5))","B"
1214,1,16,22,0.027609,"\text{Not used}","int(-(2*x - 1)/(5*x + 3)^2,x)","-\frac{2\,\ln\left(x+\frac{3}{5}\right)}{25}-\frac{11}{125\,\left(x+\frac{3}{5}\right)}","Not used",1,"- (2*log(x + 3/5))/25 - 11/(125*(x + 3/5))","B"
1215,1,18,28,0.035704,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)*(5*x + 3)^2),x)","14\,\mathrm{atanh}\left(30\,x+19\right)-\frac{11}{25\,\left(x+\frac{3}{5}\right)}","Not used",1,"14*atanh(30*x + 19) - 11/(25*(x + 3/5))","B"
1216,1,26,35,1.112028,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^2*(5*x + 3)^2),x)","136\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{68\,x}{15}+\frac{43}{15}}{x^2+\frac{19\,x}{15}+\frac{2}{5}}","Not used",1,"136*atanh(30*x + 19) - ((68*x)/15 + 43/15)/((19*x)/15 + x^2 + 2/5)","B"
1217,1,36,46,0.042352,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^3*(5*x + 3)^2),x)","1010\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{101\,x^2}{3}+\frac{1313\,x}{30}+\frac{1277}{90}}{x^3+\frac{29\,x^2}{15}+\frac{56\,x}{45}+\frac{4}{15}}","Not used",1,"1010*atanh(30*x + 19) - ((1313*x)/30 + (101*x^2)/3 + 1277/90)/((56*x)/45 + (29*x^2)/15 + x^3 + 4/15)","B"
1218,1,46,55,1.113243,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^4*(5*x + 3)^2),x)","6700\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{670\,x^3}{3}+\frac{3953\,x^2}{9}+\frac{116513\,x}{405}+\frac{8471}{135}}{x^4+\frac{13\,x^3}{5}+\frac{38\,x^2}{15}+\frac{148\,x}{135}+\frac{8}{45}}","Not used",1,"6700*atanh(30*x + 19) - ((116513*x)/405 + (3953*x^2)/9 + (670*x^3)/3 + 8471/135)/((148*x)/135 + (38*x^2)/15 + (13*x^3)/5 + x^4 + 8/45)","B"
1219,1,56,68,0.043299,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^5*(5*x + 3)^2),x)","41750\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{4175\,x^4}{3}+\frac{65965\,x^3}{18}+\frac{586003\,x^2}{162}+\frac{7708553\,x}{4860}+\frac{84457}{324}}{x^5+\frac{49\,x^4}{15}+\frac{64\,x^3}{15}+\frac{376\,x^2}{135}+\frac{368\,x}{405}+\frac{16}{135}}","Not used",1,"41750*atanh(30*x + 19) - ((7708553*x)/4860 + (586003*x^2)/162 + (65965*x^3)/18 + (4175*x^4)/3 + 84457/324)/((368*x)/405 + (376*x^2)/135 + (64*x^3)/15 + (49*x^4)/15 + x^5 + 16/135)","B"
1220,1,66,75,0.046416,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^6*(5*x + 3)^2),x)","250000\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{25000\,x^5}{3}+27500\,x^4+\frac{2939500\,x^3}{81}+\frac{5816950\,x^2}{243}+\frac{5753794\,x}{729}+\frac{6321631}{6075}}{x^6+\frac{59\,x^5}{15}+\frac{58\,x^4}{9}+\frac{152\,x^3}{27}+\frac{224\,x^2}{81}+\frac{176\,x}{243}+\frac{32}{405}}","Not used",1,"250000*atanh(30*x + 19) - ((5753794*x)/729 + (5816950*x^2)/243 + (2939500*x^3)/81 + 27500*x^4 + (25000*x^5)/3 + 6321631/6075)/((176*x)/243 + (224*x^2)/81 + (152*x^3)/27 + (58*x^4)/9 + (59*x^5)/15 + x^6 + 32/405)","B"
1221,1,76,90,1.120744,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^7*(5*x + 3)^2),x)","1456250\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{145625\,x^6}{3}+\frac{3465875\,x^5}{18}+\frac{51545425\,x^4}{162}+\frac{30279515\,x^3}{108}+\frac{225074039\,x^2}{1620}+\frac{1338136009\,x}{36450}+\frac{147294001}{36450}}{x^7+\frac{23\,x^6}{5}+\frac{136\,x^5}{15}+\frac{268\,x^4}{27}+\frac{176\,x^3}{27}+\frac{208\,x^2}{81}+\frac{2048\,x}{3645}+\frac{64}{1215}}","Not used",1,"1456250*atanh(30*x + 19) - ((1338136009*x)/36450 + (225074039*x^2)/1620 + (30279515*x^3)/108 + (51545425*x^4)/162 + (3465875*x^5)/18 + (145625*x^6)/3 + 147294001/36450)/((2048*x)/3645 + (208*x^2)/81 + (176*x^3)/27 + (268*x^4)/27 + (136*x^5)/15 + (23*x^6)/5 + x^7 + 64/1215)","B"
1222,1,52,73,0.037544,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^7)/(5*x + 3)^3,x)","\frac{1851147\,x}{390625}+\frac{2037\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{\frac{229\,x}{9765625}+\frac{277}{19531250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{129654\,x^2}{15625}+\frac{2052\,x^3}{3125}-\frac{181521\,x^4}{12500}-\frac{51759\,x^5}{3125}-\frac{729\,x^6}{125}","Not used",1,"(1851147*x)/390625 + (2037*log(x + 3/5))/1953125 - ((229*x)/9765625 + 277/19531250)/((6*x)/5 + x^2 + 9/25) + (129654*x^2)/15625 + (2052*x^3)/3125 - (181521*x^4)/12500 - (51759*x^5)/3125 - (729*x^6)/125","B"
1223,1,47,66,0.031634,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^6)/(5*x + 3)^3,x)","\frac{36936\,x}{15625}+\frac{1449\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{\frac{196\,x}{1953125}+\frac{1187}{19531250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{297\,x^2}{125}-\frac{6399\,x^3}{3125}-\frac{12393\,x^4}{2500}-\frac{1458\,x^5}{625}","Not used",1,"(36936*x)/15625 + (1449*log(x + 3/5))/390625 - ((196*x)/1953125 + 1187/19531250)/((6*x)/5 + x^2 + 9/25) + (297*x^2)/125 - (6399*x^3)/3125 - (12393*x^4)/2500 - (1458*x^5)/625","B"
1224,1,42,59,0.030702,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^5)/(5*x + 3)^3,x)","\frac{3636\,x}{3125}+\frac{192\,\ln\left(x+\frac{3}{5}\right)}{15625}-\frac{\frac{163\,x}{390625}+\frac{989}{3906250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{1971\,x^2}{6250}-\frac{837\,x^3}{625}-\frac{243\,x^4}{250}","Not used",1,"(3636*x)/3125 + (192*log(x + 3/5))/15625 - ((163*x)/390625 + 989/3906250)/((6*x)/5 + x^2 + 9/25) + (1971*x^2)/6250 - (837*x^3)/625 - (243*x^4)/250","B"
1225,1,37,52,0.028808,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^4)/(5*x + 3)^3,x)","\frac{1647\,x}{3125}+\frac{114\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{\frac{26\,x}{15625}+\frac{791}{781250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{297\,x^2}{1250}-\frac{54\,x^3}{125}","Not used",1,"(1647*x)/3125 + (114*log(x + 3/5))/3125 - ((26*x)/15625 + 791/781250)/((6*x)/5 + x^2 + 9/25) - (297*x^2)/1250 - (54*x^3)/125","B"
1226,1,32,45,0.034187,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^3)/(5*x + 3)^3,x)","\frac{81\,x}{625}+\frac{279\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{\frac{97\,x}{15625}+\frac{593}{156250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{27\,x^2}{125}","Not used",1,"(81*x)/625 + (279*log(x + 3/5))/3125 - ((97*x)/15625 + 593/156250)/((6*x)/5 + x^2 + 9/25) - (27*x^2)/125","B"
1227,1,27,38,0.037235,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^2)/(5*x + 3)^3,x)","\frac{87\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{18\,x}{125}-\frac{\frac{64\,x}{3125}+\frac{79}{6250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(87*log(x + 3/5))/625 - (18*x)/125 - ((64*x)/3125 + 79/6250)/((6*x)/5 + x^2 + 9/25)","B"
1228,1,24,33,1.107771,"\text{Not used}","int(-((2*x - 1)*(3*x + 2))/(5*x + 3)^3,x)","-\frac{6\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{\frac{31\,x}{625}+\frac{197}{6250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"- (6*log(x + 3/5))/125 - ((31*x)/625 + 197/6250)/((6*x)/5 + x^2 + 9/25)","B"
1229,1,14,18,1.101964,"\text{Not used}","int(-(2*x - 1)/(5*x + 3)^3,x)","\frac{20\,x+1}{50\,{\left(5\,x+3\right)}^2}","Not used",1,"(20*x + 1)/(50*(5*x + 3)^2)","B"
1230,1,25,37,0.038932,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)*(5*x + 3)^3),x)","\frac{\frac{7\,x}{5}+\frac{199}{250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-42\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((7*x)/5 + 199/250)/((6*x)/5 + x^2 + 9/25) - 42*atanh(30*x + 19)","B"
1231,1,35,46,0.044682,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^2*(5*x + 3)^3),x)","\frac{\frac{103\,x^2}{5}+\frac{3811\,x}{150}+\frac{586}{75}}{x^3+\frac{28\,x^2}{15}+\frac{29\,x}{25}+\frac{6}{25}}-618\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((3811*x)/150 + (103*x^2)/5 + 586/75)/((29*x)/25 + (28*x^2)/15 + x^3 + 6/25) - 618*atanh(30*x + 19)","B"
1232,1,45,57,1.109604,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^3*(5*x + 3)^3),x)","\frac{204\,x^3+\frac{1938\,x^2}{5}+\frac{55148\,x}{225}+\frac{23213}{450}}{x^4+\frac{38\,x^3}{15}+\frac{541\,x^2}{225}+\frac{76\,x}{75}+\frac{4}{25}}-6120\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((55148*x)/225 + (1938*x^2)/5 + 204*x^3 + 23213/450)/((76*x)/75 + (541*x^2)/225 + (38*x^3)/15 + x^4 + 4/25) - 6120*atanh(30*x + 19)","B"
1233,1,55,66,0.042152,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^4*(5*x + 3)^3),x)","\frac{1690\,x^4+\frac{13013\,x^3}{3}+\frac{563108\,x^2}{135}+\frac{2404363\,x}{1350}+\frac{192304}{675}}{x^5+\frac{16\,x^4}{5}+\frac{307\,x^3}{75}+\frac{1766\,x^2}{675}+\frac{188\,x}{225}+\frac{8}{75}}-50700\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((2404363*x)/1350 + (563108*x^2)/135 + (13013*x^3)/3 + 1690*x^4 + 192304/675)/((188*x)/225 + (1766*x^2)/675 + (307*x^3)/75 + (16*x^4)/5 + x^5 + 8/75) - 50700*atanh(30*x + 19)","B"
1234,1,65,75,0.043458,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^5*(5*x + 3)^3),x)","\frac{12625\,x^5+\frac{244925\,x^4}{6}+\frac{1424605\,x^3}{27}+\frac{11041421\,x^2}{324}+\frac{44542717\,x}{4050}+\frac{459709}{324}}{x^6+\frac{58\,x^5}{15}+\frac{467\,x^4}{75}+\frac{3608\,x^3}{675}+\frac{5224\,x^2}{2025}+\frac{448\,x}{675}+\frac{16}{225}}-378750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((44542717*x)/4050 + (11041421*x^2)/324 + (1424605*x^3)/27 + (244925*x^4)/6 + 12625*x^5 + 459709/324)/((448*x)/675 + (5224*x^2)/2025 + (3608*x^3)/675 + (467*x^4)/75 + (58*x^5)/15 + x^6 + 16/225) - 378750*atanh(30*x + 19)","B"
1235,1,75,86,1.119954,"\text{Not used}","int(-(2*x - 1)/((3*x + 2)^6*(5*x + 3)^3),x)","\frac{88125\,x^6+\frac{687375\,x^5}{2}+\frac{5024300\,x^4}{9}+\frac{52207835\,x^3}{108}+\frac{95317786\,x^2}{405}+\frac{1484332427\,x}{24300}+\frac{401107483}{60750}}{x^7+\frac{68\,x^6}{15}+\frac{1981\,x^5}{225}+\frac{1282\,x^4}{135}+\frac{2488\,x^3}{405}+\frac{2896\,x^2}{1215}+\frac{208\,x}{405}+\frac{32}{675}}-2643750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((1484332427*x)/24300 + (95317786*x^2)/405 + (52207835*x^3)/108 + (5024300*x^4)/9 + (687375*x^5)/2 + 88125*x^6 + 401107483/60750)/((208*x)/405 + (2896*x^2)/1215 + (2488*x^3)/405 + (1282*x^4)/135 + (1981*x^5)/225 + (68*x^6)/15 + x^7 + 32/675) - 2643750*atanh(30*x + 19)","B"
1236,1,59,45,0.066870,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^8*(5*x + 3),x)","10935\,x^{12}+\frac{647352\,x^{11}}{11}+\frac{1307097\,x^{10}}{10}+144315\,x^9+59616\,x^8-39312\,x^7-62160\,x^6-\frac{134112\,x^5}{5}+3200\,x^4+\frac{24832\,x^3}{3}+3712\,x^2+768\,x","Not used",1,"768*x + 3712*x^2 + (24832*x^3)/3 + 3200*x^4 - (134112*x^5)/5 - 62160*x^6 - 39312*x^7 + 59616*x^8 + 144315*x^9 + (1307097*x^10)/10 + (647352*x^11)/11 + 10935*x^12","B"
1237,1,54,45,0.052891,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^7*(5*x + 3),x)","\frac{43740\,x^{11}}{11}+\frac{93312\,x^{10}}{5}+34587\,x^9+\frac{225423\,x^8}{8}+1242\,x^7-16254\,x^6-\frac{59304\,x^5}{5}-1292\,x^4+\frac{7712\,x^3}{3}+1568\,x^2+384\,x","Not used",1,"384*x + 1568*x^2 + (7712*x^3)/3 - 1292*x^4 - (59304*x^5)/5 - 16254*x^6 + 1242*x^7 + (225423*x^8)/8 + 34587*x^9 + (93312*x^10)/5 + (43740*x^11)/11","B"
1238,1,49,45,0.043307,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^6*(5*x + 3),x)","1458\,x^{10}+5832\,x^9+\frac{68769\,x^8}{8}+4185\,x^7-2772\,x^6-4284\,x^5-1372\,x^4+\frac{1936\,x^3}{3}+640\,x^2+192\,x","Not used",1,"192*x + 640*x^2 + (1936*x^3)/3 - 1372*x^4 - 4284*x^5 - 2772*x^6 + 4185*x^7 + (68769*x^8)/8 + 5832*x^9 + 1458*x^10","B"
1239,1,44,45,0.034062,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^5*(5*x + 3),x)","540\,x^9+1782\,x^8+1917\,x^7+\frac{273\,x^6}{2}-1218\,x^5-770\,x^4+\frac{224\,x^3}{3}+248\,x^2+96\,x","Not used",1,"96*x + 248*x^2 + (224*x^3)/3 - 770*x^4 - 1218*x^5 + (273*x^6)/2 + 1917*x^7 + 1782*x^8 + 540*x^9","B"
1240,1,39,45,0.029311,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^4*(5*x + 3),x)","\frac{405\,x^8}{2}+\frac{3672\,x^7}{7}+\frac{675\,x^6}{2}-\frac{1077\,x^5}{5}-328\,x^4-\frac{152\,x^3}{3}+88\,x^2+48\,x","Not used",1,"48*x + 88*x^2 - (152*x^3)/3 - 328*x^4 - (1077*x^5)/5 + (675*x^6)/2 + (3672*x^7)/7 + (405*x^8)/2","B"
1241,1,34,42,0.025883,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^3*(5*x + 3),x)","\frac{540\,x^7}{7}+144\,x^6+\frac{99\,x^5}{5}-\frac{425\,x^4}{4}-\frac{154\,x^3}{3}+26\,x^2+24\,x","Not used",1,"24*x + 26*x^2 - (154*x^3)/3 - (425*x^4)/4 + (99*x^5)/5 + 144*x^6 + (540*x^7)/7","B"
1242,1,29,35,0.022807,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^2*(5*x + 3),x)","30\,x^6+\frac{168\,x^5}{5}-\frac{79\,x^4}{4}-\frac{89\,x^3}{3}+4\,x^2+12\,x","Not used",1,"12*x + 4*x^2 - (89*x^3)/3 - (79*x^4)/4 + (168*x^5)/5 + 30*x^6","B"
1243,1,24,28,0.021471,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)*(5*x + 3),x)","12\,x^5+4\,x^4-\frac{37\,x^3}{3}-\frac{5\,x^2}{2}+6\,x","Not used",1,"6*x - (5*x^2)/2 - (37*x^3)/3 + 4*x^4 + 12*x^5","B"
1244,1,19,23,0.032783,"\text{Not used}","int((2*x - 1)^2*(5*x + 3),x)","5\,x^4-\frac{8\,x^3}{3}-\frac{7\,x^2}{2}+3\,x","Not used",1,"3*x - (7*x^2)/2 - (8*x^3)/3 + 5*x^4","B"
1245,1,20,30,0.030987,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2),x)","\frac{65\,x}{27}-\frac{49\,\ln\left(x+\frac{2}{3}\right)}{81}-\frac{32\,x^2}{9}+\frac{20\,x^3}{9}","Not used",1,"(65*x)/27 - (49*log(x + 2/3))/81 - (32*x^2)/9 + (20*x^3)/9","B"
1246,1,24,34,0.033742,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^2,x)","\frac{91\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{104\,x}{27}+\frac{49}{243\,\left(x+\frac{2}{3}\right)}+\frac{10\,x^2}{9}","Not used",1,"(91*log(x + 2/3))/27 - (104*x)/27 + 49/(243*(x + 2/3)) + (10*x^2)/9","B"
1247,1,27,38,1.125667,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^3,x)","\frac{20\,x}{27}-\frac{16\,\ln\left(x+\frac{2}{3}\right)}{9}-\frac{\frac{91\,x}{81}+\frac{1043}{1458}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"(20*x)/27 - (16*log(x + 2/3))/9 - ((91*x)/81 + 1043/1458)/((4*x)/3 + x^2 + 4/9)","B"
1248,1,33,44,0.034027,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^4,x)","\frac{20\,\ln\left(x+\frac{2}{3}\right)}{81}+\frac{\frac{16\,x^2}{27}+\frac{293\,x}{486}+\frac{958}{6561}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(20*log(x + 2/3))/81 + ((293*x)/486 + (16*x^2)/27 + 958/6561)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1249,1,37,37,0.025931,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^5,x)","\frac{8}{9\,{\left(3\,x+2\right)}^2}-\frac{20}{81\,\left(3\,x+2\right)}-\frac{91}{81\,{\left(3\,x+2\right)}^3}+\frac{49}{324\,{\left(3\,x+2\right)}^4}","Not used",1,"8/(9*(3*x + 2)^2) - 20/(81*(3*x + 2)) - 91/(81*(3*x + 2)^3) + 49/(324*(3*x + 2)^4)","B"
1250,1,37,45,1.104474,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^6,x)","\frac{16}{27\,{\left(3\,x+2\right)}^3}-\frac{10}{81\,{\left(3\,x+2\right)}^2}-\frac{91}{108\,{\left(3\,x+2\right)}^4}+\frac{49}{405\,{\left(3\,x+2\right)}^5}","Not used",1,"16/(27*(3*x + 2)^3) - 10/(81*(3*x + 2)^2) - 91/(108*(3*x + 2)^4) + 49/(405*(3*x + 2)^5)","B"
1251,1,37,45,0.029441,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^7,x)","\frac{4}{9\,{\left(3\,x+2\right)}^4}-\frac{20}{243\,{\left(3\,x+2\right)}^3}-\frac{91}{135\,{\left(3\,x+2\right)}^5}+\frac{49}{486\,{\left(3\,x+2\right)}^6}","Not used",1,"4/(9*(3*x + 2)^4) - 20/(243*(3*x + 2)^3) - 91/(135*(3*x + 2)^5) + 49/(486*(3*x + 2)^6)","B"
1252,1,37,45,1.112561,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3))/(3*x + 2)^8,x)","\frac{16}{45\,{\left(3\,x+2\right)}^5}-\frac{5}{81\,{\left(3\,x+2\right)}^4}-\frac{91}{162\,{\left(3\,x+2\right)}^6}+\frac{7}{81\,{\left(3\,x+2\right)}^7}","Not used",1,"16/(45*(3*x + 2)^5) - 5/(81*(3*x + 2)^4) - 91/(162*(3*x + 2)^6) + 7/(81*(3*x + 2)^7)","B"
1253,1,64,56,0.076501,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^8*(5*x + 3)^2,x)","\frac{656100\,x^{13}}{13}+302535\,x^{12}+\frac{8477541\,x^{11}}{11}+\frac{5207733\,x^{10}}{5}+697905\,x^9+6858\,x^8-384336\,x^7-298240\,x^6-\frac{338336\,x^5}{5}+40640\,x^4+\frac{111616\,x^3}{3}+13056\,x^2+2304\,x","Not used",1,"2304*x + 13056*x^2 + (111616*x^3)/3 + 40640*x^4 - (338336*x^5)/5 - 298240*x^6 - 384336*x^7 + 6858*x^8 + 697905*x^9 + (5207733*x^10)/5 + (8477541*x^11)/11 + 302535*x^12 + (656100*x^13)/13","B"
1254,1,59,56,0.062703,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^7*(5*x + 3)^2,x)","18225\,x^{12}+\frac{1064340\,x^{11}}{11}+\frac{2116287\,x^{10}}{10}+228996\,x^9+\frac{719739\,x^8}{8}-65934\,x^7-98182\,x^6-\frac{203752\,x^5}{5}+5764\,x^4+\frac{38816\,x^3}{3}+5664\,x^2+1152\,x","Not used",1,"1152*x + 5664*x^2 + (38816*x^3)/3 + 5764*x^4 - (203752*x^5)/5 - 98182*x^6 - 65934*x^7 + (719739*x^8)/8 + 228996*x^9 + (2116287*x^10)/10 + (1064340*x^11)/11 + 18225*x^12","B"
1255,1,54,56,0.051829,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^6*(5*x + 3)^2,x)","\frac{72900\,x^{11}}{11}+30618\,x^{10}+55701\,x^9+\frac{176391\,x^8}{4}+675\,x^7-26166\,x^6-18340\,x^5-1696\,x^4+\frac{12208\,x^3}{3}+2400\,x^2+576\,x","Not used",1,"576*x + 2400*x^2 + (12208*x^3)/3 - 1696*x^4 - 18340*x^5 - 26166*x^6 + 675*x^7 + (176391*x^8)/4 + 55701*x^9 + 30618*x^10 + (72900*x^11)/11","B"
1256,1,49,56,0.044024,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^5*(5*x + 3)^2,x)","2430\,x^{10}+9540\,x^9+\frac{109863\,x^8}{8}+6336\,x^7-\frac{9331\,x^6}{2}-6734\,x^5-2030\,x^4+\frac{3152\,x^3}{3}+984\,x^2+288\,x","Not used",1,"288*x + 984*x^2 + (3152*x^3)/3 - 2030*x^4 - 6734*x^5 - (9331*x^6)/2 + 6336*x^7 + (109863*x^8)/8 + 9540*x^9 + 2430*x^10","B"
1257,1,44,56,0.035357,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^4*(5*x + 3)^2,x)","900\,x^9+\frac{5805\,x^8}{2}+\frac{21141\,x^7}{7}+115\,x^6-\frac{9791\,x^5}{5}-1174\,x^4+\frac{424\,x^3}{3}+384\,x^2+144\,x","Not used",1,"144*x + 384*x^2 + (424*x^3)/3 - 1174*x^4 - (9791*x^5)/5 + 115*x^6 + (21141*x^7)/7 + (5805*x^8)/2 + 900*x^9","B"
1258,1,39,51,0.030200,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^3*(5*x + 3)^2,x)","\frac{675\,x^8}{2}+\frac{5940\,x^7}{7}+\frac{1029\,x^6}{2}-\frac{1828\,x^5}{5}-\frac{2045\,x^4}{4}-\frac{202\,x^3}{3}+138\,x^2+72\,x","Not used",1,"72*x + 138*x^2 - (202*x^3)/3 - (2045*x^4)/4 - (1828*x^5)/5 + (1029*x^6)/2 + (5940*x^7)/7 + (675*x^8)/2","B"
1259,1,34,42,0.024913,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^2*(5*x + 3)^2,x)","\frac{900\,x^7}{7}+230\,x^6+\frac{109\,x^5}{5}-\frac{341\,x^4}{2}-\frac{227\,x^3}{3}+42\,x^2+36\,x","Not used",1,"36*x + 42*x^2 - (227*x^3)/3 - (341*x^4)/2 + (109*x^5)/5 + 230*x^6 + (900*x^7)/7","B"
1260,1,29,35,0.022206,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)*(5*x + 3)^2,x)","50\,x^6+52\,x^5-\frac{137\,x^4}{4}-\frac{136\,x^3}{3}+\frac{15\,x^2}{2}+18\,x","Not used",1,"18*x + (15*x^2)/2 - (136*x^3)/3 - (137*x^4)/4 + 52*x^5 + 50*x^6","B"
1261,1,24,26,0.022102,"\text{Not used}","int((2*x - 1)^2*(5*x + 3)^2,x)","20\,x^5+5\,x^4-\frac{59\,x^3}{3}-3\,x^2+9\,x","Not used",1,"9*x - 3*x^2 - (59*x^3)/3 + 5*x^4 + 20*x^5","B"
1262,1,25,37,0.025124,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2),x)","\frac{340\,x}{81}+\frac{49\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{251\,x^2}{54}-\frac{140\,x^3}{27}+\frac{25\,x^4}{3}","Not used",1,"(340*x)/81 + (49*log(x + 2/3))/243 - (251*x^2)/54 - (140*x^3)/27 + (25*x^4)/3","B"
1263,1,29,41,0.026447,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^2,x)","\frac{143\,x}{27}-\frac{518\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{49}{729\,\left(x+\frac{2}{3}\right)}-\frac{170\,x^2}{27}+\frac{100\,x^3}{27}","Not used",1,"(143*x)/27 - (518*log(x + 2/3))/243 - 49/(729*(x + 2/3)) - (170*x^2)/27 + (100*x^3)/27","B"
1264,1,31,45,0.032069,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^3,x)","\frac{503\,\ln\left(x+\frac{2}{3}\right)}{81}-\frac{20\,x}{3}+\frac{\frac{518\,x}{729}+\frac{2023}{4374}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}+\frac{50\,x^2}{27}","Not used",1,"(503*log(x + 2/3))/81 - (20*x)/3 + ((518*x)/729 + 2023/4374)/((4*x)/3 + x^2 + 4/9) + (50*x^2)/27","B"
1265,1,37,49,1.118070,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^4,x)","\frac{100\,x}{81}-\frac{740\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{\frac{503\,x^2}{243}+\frac{5777\,x}{2187}+\frac{16603}{19683}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(100*x)/81 - (740*log(x + 2/3))/243 - ((5777*x)/2187 + (503*x^2)/243 + 16603/19683)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1266,1,43,55,0.037364,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^5,x)","\frac{100\,\ln\left(x+\frac{2}{3}\right)}{243}+\frac{\frac{740\,x^3}{729}+\frac{91\,x^2}{54}+\frac{18104\,x}{19683}+\frac{38821}{236196}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(100*log(x + 2/3))/243 + ((18104*x)/19683 + (91*x^2)/54 + (740*x^3)/729 + 38821/236196)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1267,1,46,56,1.115414,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^6,x)","\frac{370}{243\,{\left(3\,x+2\right)}^2}-\frac{100}{243\,\left(3\,x+2\right)}-\frac{503}{243\,{\left(3\,x+2\right)}^3}+\frac{259}{486\,{\left(3\,x+2\right)}^4}-\frac{49}{1215\,{\left(3\,x+2\right)}^5}","Not used",1,"370/(243*(3*x + 2)^2) - 100/(243*(3*x + 2)) - 503/(243*(3*x + 2)^3) + 259/(486*(3*x + 2)^4) - 49/(1215*(3*x + 2)^5)","B"
1268,1,46,56,0.033246,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^7,x)","\frac{740}{729\,{\left(3\,x+2\right)}^3}-\frac{50}{243\,{\left(3\,x+2\right)}^2}-\frac{503}{324\,{\left(3\,x+2\right)}^4}+\frac{518}{1215\,{\left(3\,x+2\right)}^5}-\frac{49}{1458\,{\left(3\,x+2\right)}^6}","Not used",1,"740/(729*(3*x + 2)^3) - 50/(243*(3*x + 2)^2) - 503/(324*(3*x + 2)^4) + 518/(1215*(3*x + 2)^5) - 49/(1458*(3*x + 2)^6)","B"
1269,1,46,56,1.092383,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^2)/(3*x + 2)^8,x)","\frac{185}{243\,{\left(3\,x+2\right)}^4}-\frac{100}{729\,{\left(3\,x+2\right)}^3}-\frac{503}{405\,{\left(3\,x+2\right)}^5}+\frac{259}{729\,{\left(3\,x+2\right)}^6}-\frac{7}{243\,{\left(3\,x+2\right)}^7}","Not used",1,"185/(243*(3*x + 2)^4) - 100/(729*(3*x + 2)^3) - 503/(405*(3*x + 2)^5) + 259/(729*(3*x + 2)^6) - 7/(243*(3*x + 2)^7)","B"
1270,1,79,67,0.145555,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^10*(5*x + 3)^3,x)","\frac{7381125\,x^{16}}{4}+14696640\,x^{15}+\frac{734077485\,x^{14}}{14}+\frac{1417418757\,x^{13}}{13}+\frac{569034801\,x^{12}}{4}+\frac{1233925083\,x^{11}}{11}+36043704\,x^{10}-26237700\,x^9-40113468\,x^8-\frac{154612896\,x^7}{7}-\frac{10627328\,x^6}{3}+3185792\,x^5+2644160\,x^4+1000704\,x^3+221184\,x^2+27648\,x","Not used",1,"27648*x + 221184*x^2 + 1000704*x^3 + 2644160*x^4 + 3185792*x^5 - (10627328*x^6)/3 - (154612896*x^7)/7 - 40113468*x^8 - 26237700*x^9 + 36043704*x^10 + (1233925083*x^11)/11 + (569034801*x^12)/4 + (1417418757*x^13)/13 + (734077485*x^14)/14 + 14696640*x^15 + (7381125*x^16)/4","B"
1271,1,74,67,0.120920,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^9*(5*x + 3)^3,x)","656100\,x^{15}+\frac{33461100\,x^{14}}{7}+\frac{200077695\,x^{13}}{13}+\frac{113029263\,x^{12}}{4}+\frac{342976275\,x^{11}}{11}+\frac{182657511\,x^{10}}{10}-180666\,x^9-9703638\,x^8-\frac{55216512\,x^7}{7}-\frac{7363312\,x^6}{3}+\frac{2732864\,x^5}{5}+871936\,x^4+400128\,x^3+100224\,x^2+13824\,x","Not used",1,"13824*x + 100224*x^2 + 400128*x^3 + 871936*x^4 + (2732864*x^5)/5 - (7363312*x^6)/3 - (55216512*x^7)/7 - 9703638*x^8 - 180666*x^9 + (182657511*x^10)/10 + (342976275*x^11)/11 + (113029263*x^12)/4 + (200077695*x^13)/13 + (33461100*x^14)/7 + 656100*x^15","B"
1272,1,69,67,0.098818,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^8*(5*x + 3)^3,x)","\frac{1640250\,x^{14}}{7}+\frac{20120400\,x^{13}}{13}+\frac{17759655\,x^{12}}{4}+\frac{77509953\,x^{11}}{11}+\frac{62652123\,x^{10}}{10}+2124195\,x^9-1660896\,x^8-\frac{17018256\,x^7}{7}-\frac{3530000\,x^6}{3}-\frac{202208\,x^5}{5}+261440\,x^4+155136\,x^3+44928\,x^2+6912\,x","Not used",1,"6912*x + 44928*x^2 + 155136*x^3 + 261440*x^4 - (202208*x^5)/5 - (3530000*x^6)/3 - (17018256*x^7)/7 - 1660896*x^8 + 2124195*x^9 + (62652123*x^10)/10 + (77509953*x^11)/11 + (17759655*x^12)/4 + (20120400*x^13)/13 + (1640250*x^14)/7","B"
1273,1,64,67,0.079909,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^7*(5*x + 3)^3,x)","\frac{1093500\,x^{13}}{13}+498150\,x^{12}+\frac{13774455\,x^{11}}{11}+\frac{16653681\,x^{10}}{10}+1086843\,x^9-\frac{148473\,x^8}{8}-618582\,x^7-\frac{1393018\,x^6}{3}-\frac{495976\,x^5}{5}+65812\,x^4+57696\,x^3+19872\,x^2+3456\,x","Not used",1,"3456*x + 19872*x^2 + 57696*x^3 + 65812*x^4 - (495976*x^5)/5 - (1393018*x^6)/3 - 618582*x^7 - (148473*x^8)/8 + 1086843*x^9 + (16653681*x^10)/10 + (13774455*x^11)/11 + 498150*x^12 + (1093500*x^13)/13","B"
1274,1,59,67,0.066503,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^6*(5*x + 3)^3,x)","30375\,x^{12}+\frac{1749600\,x^{11}}{11}+\frac{685017\,x^{10}}{2}+363093\,x^9+\frac{1081971\,x^8}{8}-110115\,x^7-\frac{464744\,x^6}{3}-61804\,x^5+10172\,x^4+20208\,x^3+8640\,x^2+1728\,x","Not used",1,"1728*x + 8640*x^2 + 20208*x^3 + 10172*x^4 - 61804*x^5 - (464744*x^6)/3 - 110115*x^7 + (1081971*x^8)/8 + 363093*x^9 + (685017*x^10)/2 + (1749600*x^11)/11 + 30375*x^12","B"
1275,1,54,67,0.054587,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^5*(5*x + 3)^3,x)","\frac{121500\,x^{11}}{11}+50220\,x^{10}+89655\,x^9+\frac{551349\,x^8}{8}-987\,x^7-\frac{252329\,x^6}{6}-28322\,x^5-2150\,x^4+6432\,x^3+3672\,x^2+864\,x","Not used",1,"864*x + 3672*x^2 + 6432*x^3 - 2150*x^4 - 28322*x^5 - (252329*x^6)/6 - 987*x^7 + (551349*x^8)/8 + 89655*x^9 + 50220*x^10 + (121500*x^11)/11","B"
1276,1,49,67,0.044407,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^4*(5*x + 3)^3,x)","4050\,x^{10}+15600\,x^9+\frac{175365\,x^8}{8}+\frac{66873\,x^7}{7}-\frac{46885\,x^6}{6}-\frac{52853\,x^5}{5}-2992\,x^4+1704\,x^3+1512\,x^2+432\,x","Not used",1,"432*x + 1512*x^2 + 1704*x^3 - 2992*x^4 - (52853*x^5)/5 - (46885*x^6)/6 + (66873*x^7)/7 + (175365*x^8)/8 + 15600*x^9 + 4050*x^10","B"
1277,1,44,52,0.035100,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^3*(5*x + 3)^3,x)","1500\,x^9+4725\,x^8+\frac{33255\,x^7}{7}+\frac{121\,x^6}{6}-\frac{15709\,x^5}{5}-\frac{7145\,x^4}{4}+258\,x^3+594\,x^2+216\,x","Not used",1,"216*x + 594*x^2 + 258*x^3 - (7145*x^4)/4 - (15709*x^5)/5 + (121*x^6)/6 + (33255*x^7)/7 + 4725*x^8 + 1500*x^9","B"
1278,1,39,49,0.029761,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)^2*(5*x + 3)^3,x)","\frac{1125\,x^8}{2}+\frac{9600\,x^7}{7}+\frac{4685\,x^6}{6}-\frac{3083\,x^5}{5}-\frac{3181\,x^4}{4}-87\,x^3+216\,x^2+108\,x","Not used",1,"108*x + 216*x^2 - 87*x^3 - (3181*x^4)/4 - (3083*x^5)/5 + (4685*x^6)/6 + (9600*x^7)/7 + (1125*x^8)/2","B"
1279,1,34,42,0.026806,"\text{Not used}","int((2*x - 1)^2*(3*x + 2)*(5*x + 3)^3,x)","\frac{1500\,x^7}{7}+\frac{1100\,x^6}{3}+19\,x^5-\frac{1091\,x^4}{4}-111\,x^3+\frac{135\,x^2}{2}+54\,x","Not used",1,"54*x + (135*x^2)/2 - 111*x^3 - (1091*x^4)/4 + 19*x^5 + (1100*x^6)/3 + (1500*x^7)/7","B"
1280,1,29,34,0.021095,"\text{Not used}","int((2*x - 1)^2*(5*x + 3)^3,x)","\frac{250\,x^6}{3}+80\,x^5-\frac{235\,x^4}{4}-69\,x^3+\frac{27\,x^2}{2}+27\,x","Not used",1,"27*x + (27*x^2)/2 - 69*x^3 - (235*x^4)/4 + 80*x^5 + (250*x^6)/3","B"
1281,1,30,44,0.027005,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2),x)","\frac{3305\,x}{243}-\frac{49\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{559\,x^2}{162}-\frac{2515\,x^3}{81}+\frac{50\,x^4}{9}+\frac{100\,x^5}{3}","Not used",1,"(3305*x)/243 - (49*log(x + 2/3))/729 - (559*x^2)/162 - (2515*x^3)/81 + (50*x^4)/9 + (100*x^5)/3","B"
1282,1,34,48,0.028361,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^2,x)","\frac{1271\,x}{243}+\frac{763\,\ln\left(x+\frac{2}{3}\right)}{729}+\frac{49}{2187\,\left(x+\frac{2}{3}\right)}-\frac{305\,x^2}{54}-\frac{800\,x^3}{81}+\frac{125\,x^4}{9}","Not used",1,"(1271*x)/243 + (763*log(x + 2/3))/729 + 49/(2187*(x + 2/3)) - (305*x^2)/54 - (800*x^3)/81 + (125*x^4)/9","B"
1283,1,37,52,0.026681,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^3,x)","\frac{895\,x}{81}-\frac{4099\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{\frac{763\,x}{2187}+\frac{1001}{4374}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}-\frac{100\,x^2}{9}+\frac{500\,x^3}{81}","Not used",1,"(895*x)/81 - (4099*log(x + 2/3))/729 - ((763*x)/2187 + 1001/4374)/((4*x)/3 + x^2 + 4/9) - (100*x^2)/9 + (500*x^3)/81","B"
1284,1,41,56,0.035546,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^4,x)","\frac{8285\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{2800\,x}{243}+\frac{\frac{4099\,x^2}{2187}+\frac{32029\,x}{13122}+\frac{46948}{59049}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}+\frac{250\,x^2}{81}","Not used",1,"(8285*log(x + 2/3))/729 - (2800*x)/243 + ((32029*x)/13122 + (4099*x^2)/2187 + 46948/59049)/((4*x)/3 + 2*x^2 + x^3 + 8/27) + (250*x^2)/81","B"
1285,1,47,60,0.040155,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^5,x)","\frac{500\,x}{243}-\frac{3800\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{\frac{8285\,x^3}{2187}+\frac{95321\,x^2}{13122}+\frac{274429\,x}{59049}+\frac{702941}{708588}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(500*x)/243 - (3800*log(x + 2/3))/729 - ((274429*x)/59049 + (95321*x^2)/13122 + (8285*x^3)/2187 + 702941/708588)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1286,1,53,66,1.114046,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^6,x)","\frac{500\,\ln\left(x+\frac{2}{3}\right)}{729}+\frac{\frac{3800\,x^4}{2187}+\frac{1945\,x^3}{486}+\frac{203134\,x^2}{59049}+\frac{925975\,x}{708588}+\frac{982609}{5314410}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"(500*log(x + 2/3))/729 + ((925975*x)/708588 + (203134*x^2)/59049 + (1945*x^3)/486 + (3800*x^4)/2187 + 982609/5314410)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1287,1,55,67,1.101490,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^7,x)","\frac{1900}{729\,{\left(3\,x+2\right)}^2}-\frac{500}{729\,\left(3\,x+2\right)}-\frac{8285}{2187\,{\left(3\,x+2\right)}^3}+\frac{4099}{2916\,{\left(3\,x+2\right)}^4}-\frac{763}{3645\,{\left(3\,x+2\right)}^5}+\frac{49}{4374\,{\left(3\,x+2\right)}^6}","Not used",1,"1900/(729*(3*x + 2)^2) - 500/(729*(3*x + 2)) - 8285/(2187*(3*x + 2)^3) + 4099/(2916*(3*x + 2)^4) - 763/(3645*(3*x + 2)^5) + 49/(4374*(3*x + 2)^6)","B"
1288,1,55,67,1.091991,"\text{Not used}","int(((2*x - 1)^2*(5*x + 3)^3)/(3*x + 2)^8,x)","\frac{3800}{2187\,{\left(3\,x+2\right)}^3}-\frac{250}{729\,{\left(3\,x+2\right)}^2}-\frac{8285}{2916\,{\left(3\,x+2\right)}^4}+\frac{4099}{3645\,{\left(3\,x+2\right)}^5}-\frac{763}{4374\,{\left(3\,x+2\right)}^6}+\frac{7}{729\,{\left(3\,x+2\right)}^7}","Not used",1,"3800/(2187*(3*x + 2)^3) - 250/(729*(3*x + 2)^2) - 8285/(2916*(3*x + 2)^4) + 4099/(3645*(3*x + 2)^5) - 763/(4374*(3*x + 2)^6) + 7/(729*(3*x + 2)^7)","B"
1289,1,50,72,0.048446,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^7)/(5*x + 3),x)","\frac{83333293\,x}{1953125}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{9765625}+\frac{80555569\,x^2}{781250}+\frac{1327159\,x^3}{78125}-\frac{20577159\,x^4}{62500}-\frac{7315947\,x^5}{15625}+\frac{130383\,x^6}{1250}+\frac{672867\,x^7}{875}+\frac{16767\,x^8}{25}+\frac{972\,x^9}{5}","Not used",1,"(83333293*x)/1953125 + (121*log(x + 3/5))/9765625 + (80555569*x^2)/781250 + (1327159*x^3)/78125 - (20577159*x^4)/62500 - (7315947*x^5)/15625 + (130383*x^6)/1250 + (672867*x^7)/875 + (16767*x^8)/25 + (972*x^9)/5","B"
1290,1,45,65,0.038274,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^6)/(5*x + 3),x)","\frac{8333293\,x}{390625}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{1953125}+\frac{5555569\,x^2}{156250}-\frac{422841\,x^3}{15625}-\frac{1677159\,x^4}{12500}-\frac{228447\,x^5}{3125}+\frac{35883\,x^6}{250}+\frac{34992\,x^7}{175}+\frac{729\,x^8}{10}","Not used",1,"(8333293*x)/390625 + (121*log(x + 3/5))/1953125 + (5555569*x^2)/156250 - (422841*x^3)/15625 - (1677159*x^4)/12500 - (228447*x^5)/3125 + (35883*x^6)/250 + (34992*x^7)/175 + (729*x^8)/10","B"
1291,1,40,58,0.034039,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^5)/(5*x + 3),x)","\frac{833293\,x}{78125}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{390625}+\frac{305569\,x^2}{31250}-\frac{72841\,x^3}{3125}-\frac{102159\,x^4}{2500}+\frac{7803\,x^5}{625}+\frac{1404\,x^6}{25}+\frac{972\,x^7}{35}","Not used",1,"(833293*x)/78125 + (121*log(x + 3/5))/390625 + (305569*x^2)/31250 - (72841*x^3)/3125 - (102159*x^4)/2500 + (7803*x^5)/625 + (1404*x^6)/25 + (972*x^7)/35","B"
1292,1,35,51,0.029858,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^4)/(5*x + 3),x)","\frac{83293\,x}{15625}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{78125}+\frac{5569\,x^2}{6250}-\frac{7841\,x^3}{625}-\frac{3159\,x^4}{500}+\frac{1728\,x^5}{125}+\frac{54\,x^6}{5}","Not used",1,"(83293*x)/15625 + (121*log(x + 3/5))/78125 + (5569*x^2)/6250 - (7841*x^3)/625 - (3159*x^4)/500 + (1728*x^5)/125 + (54*x^6)/5","B"
1293,1,30,44,0.027886,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^3)/(5*x + 3),x)","\frac{8293\,x}{3125}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{15625}-\frac{1931\,x^2}{1250}-\frac{591\,x^3}{125}+\frac{54\,x^4}{25}+\frac{108\,x^5}{25}","Not used",1,"(8293*x)/3125 + (121*log(x + 3/5))/15625 - (1931*x^2)/1250 - (591*x^3)/125 + (54*x^4)/25 + (108*x^5)/25","B"
1294,1,25,37,0.025080,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^2)/(5*x + 3),x)","\frac{793\,x}{625}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{431\,x^2}{250}-\frac{16\,x^3}{25}+\frac{9\,x^4}{5}","Not used",1,"(793*x)/625 + (121*log(x + 3/5))/3125 - (431*x^2)/250 - (16*x^3)/25 + (9*x^4)/5","B"
1295,1,20,30,0.030002,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2))/(5*x + 3),x)","\frac{43\,x}{125}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{28\,x^2}{25}+\frac{4\,x^3}{5}","Not used",1,"(43*x)/125 + (121*log(x + 3/5))/625 - (28*x^2)/25 + (4*x^3)/5","B"
1296,1,15,23,0.026081,"\text{Not used}","int((2*x - 1)^2/(5*x + 3),x)","\frac{121\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{32\,x}{25}+\frac{2\,x^2}{5}","Not used",1,"(121*log(x + 3/5))/125 - (32*x)/25 + (2*x^2)/5","B"
1297,1,16,26,0.039635,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)*(5*x + 3)),x)","\frac{4\,x}{15}-\frac{49\,\ln\left(x+\frac{2}{3}\right)}{9}+\frac{121\,\ln\left(x+\frac{3}{5}\right)}{25}","Not used",1,"(4*x)/15 - (49*log(x + 2/3))/9 + (121*log(x + 3/5))/25","B"
1298,1,22,32,0.045343,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^2*(5*x + 3)),x)","\frac{121\,\ln\left(x+\frac{3}{5}\right)}{5}-\frac{217\,\ln\left(x+\frac{2}{3}\right)}{9}+\frac{49}{27\,\left(x+\frac{2}{3}\right)}","Not used",1,"(121*log(x + 3/5))/5 - (217*log(x + 2/3))/9 + 49/(27*(x + 2/3))","B"
1299,1,25,39,0.039688,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^3*(5*x + 3)),x)","\frac{\frac{217\,x}{27}+\frac{917}{162}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}-242\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((217*x)/27 + 917/162)/((4*x)/3 + x^2 + 4/9) - 242*atanh(30*x + 19)","B"
1300,1,35,48,0.042180,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^4*(5*x + 3)),x)","\frac{\frac{121\,x^2}{3}+\frac{8929\,x}{162}+\frac{13768}{729}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}-1210\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((8929*x)/162 + (121*x^2)/3 + 13768/729)/((4*x)/3 + 2*x^2 + x^3 + 8/27) - 1210*atanh(30*x + 19)","B"
1301,1,45,59,1.130026,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^5*(5*x + 3)),x)","\frac{\frac{605\,x^3}{3}+\frac{7381\,x^2}{18}+\frac{202771\,x}{729}+\frac{550739}{8748}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}-6050\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((202771*x)/729 + (7381*x^2)/18 + (605*x^3)/3 + 550739/8748)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81) - 6050*atanh(30*x + 19)","B"
1302,1,55,70,1.119263,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^6*(5*x + 3)),x)","\frac{\frac{3025\,x^4}{3}+\frac{5445\,x^3}{2}+\frac{223366\,x^2}{81}+\frac{3621505\,x}{2916}+\frac{4589503}{21870}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}-30250\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((3621505*x)/2916 + (223366*x^2)/81 + (5445*x^3)/2 + (3025*x^4)/3 + 4589503/21870)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243) - 30250*atanh(30*x + 19)","B"
1303,1,65,81,1.102954,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^7*(5*x + 3)),x)","\frac{\frac{15125\,x^5}{3}+\frac{305525\,x^4}{18}+\frac{1851905\,x^3}{81}+\frac{1663387\,x^2}{108}+\frac{56742562\,x}{10935}+\frac{137685119}{196830}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}-151250\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((56742562*x)/10935 + (1663387*x^2)/108 + (1851905*x^3)/81 + (305525*x^4)/18 + (15125*x^5)/3 + 137685119/196830)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729) - 151250*atanh(30*x + 19)","B"
1304,1,75,92,1.097102,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^8*(5*x + 3)),x)","\frac{\frac{75625\,x^6}{3}+\frac{1830125\,x^5}{18}+\frac{13842400\,x^4}{81}+\frac{148928615\,x^3}{972}+\frac{20866813\,x^2}{270}+\frac{4092979271\,x}{196830}+\frac{688425608}{295245}}{x^7+\frac{14\,x^6}{3}+\frac{28\,x^5}{3}+\frac{280\,x^4}{27}+\frac{560\,x^3}{81}+\frac{224\,x^2}{81}+\frac{448\,x}{729}+\frac{128}{2187}}-756250\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((4092979271*x)/196830 + (20866813*x^2)/270 + (148928615*x^3)/972 + (13842400*x^4)/81 + (1830125*x^5)/18 + (75625*x^6)/3 + 688425608/295245)/((448*x)/729 + (224*x^2)/81 + (560*x^3)/81 + (280*x^4)/27 + (28*x^5)/3 + (14*x^6)/3 + x^7 + 128/2187) - 756250*atanh(30*x + 19)","B"
1305,1,54,76,0.050669,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^7)/(5*x + 3)^2,x)","\frac{27776932\,x}{1953125}+\frac{2497\,\ln\left(x+\frac{3}{5}\right)}{9765625}-\frac{121}{48828125\,\left(x+\frac{3}{5}\right)}+\frac{17592879\,x^2}{781250}-\frac{1512378\,x^3}{78125}-\frac{213867\,x^4}{2500}-\frac{656424\,x^5}{15625}+\frac{116397\,x^6}{1250}+\frac{107892\,x^7}{875}+\frac{2187\,x^8}{50}","Not used",1,"(27776932*x)/1953125 + (2497*log(x + 3/5))/9765625 - 121/(48828125*(x + 3/5)) + (17592879*x^2)/781250 - (1512378*x^3)/78125 - (213867*x^4)/2500 - (656424*x^5)/15625 + (116397*x^6)/1250 + (107892*x^7)/875 + (2187*x^8)/50","B"
1306,1,49,69,0.040092,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^6)/(5*x + 3)^2,x)","\frac{2777053\,x}{390625}+\frac{2134\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{121}{9765625\,\left(x+\frac{3}{5}\right)}+\frac{463086\,x^2}{78125}-\frac{48771\,x^3}{3125}-\frac{157599\,x^4}{6250}+\frac{28917\,x^5}{3125}+\frac{4374\,x^6}{125}+\frac{2916\,x^7}{175}","Not used",1,"(2777053*x)/390625 + (2134*log(x + 3/5))/1953125 - 121/(9765625*(x + 3/5)) + (463086*x^2)/78125 - (48771*x^3)/3125 - (157599*x^4)/6250 + (28917*x^5)/3125 + (4374*x^6)/125 + (2916*x^7)/175","B"
1307,1,44,62,0.035562,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^5)/(5*x + 3)^2,x)","\frac{277174\,x}{78125}+\frac{1771\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{121}{1953125\,\left(x+\frac{3}{5}\right)}+\frac{1893\,x^2}{6250}-\frac{25332\,x^3}{3125}-\frac{8721\,x^4}{2500}+\frac{5508\,x^5}{625}+\frac{162\,x^6}{25}","Not used",1,"(277174*x)/78125 + (1771*log(x + 3/5))/390625 - 121/(1953125*(x + 3/5)) + (1893*x^2)/6250 - (25332*x^3)/3125 - (8721*x^4)/2500 + (5508*x^5)/625 + (162*x^6)/25","B"
1308,1,39,55,0.030715,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^4)/(5*x + 3)^2,x)","\frac{5459\,x}{3125}+\frac{1408\,\ln\left(x+\frac{3}{5}\right)}{78125}-\frac{121}{390625\,\left(x+\frac{3}{5}\right)}-\frac{3621\,x^2}{3125}-\frac{1809\,x^3}{625}+\frac{189\,x^4}{125}+\frac{324\,x^5}{125}","Not used",1,"(5459*x)/3125 + (1408*log(x + 3/5))/78125 - 121/(390625*(x + 3/5)) - (3621*x^2)/3125 - (1809*x^3)/625 + (189*x^4)/125 + (324*x^5)/125","B"
1309,1,34,48,0.027826,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^3)/(5*x + 3)^2,x)","\frac{2416\,x}{3125}+\frac{209\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{121}{78125\,\left(x+\frac{3}{5}\right)}-\frac{1449\,x^2}{1250}-\frac{36\,x^3}{125}+\frac{27\,x^4}{25}","Not used",1,"(2416*x)/3125 + (209*log(x + 3/5))/3125 - 121/(78125*(x + 3/5)) - (1449*x^2)/1250 - (36*x^3)/125 + (27*x^4)/25","B"
1310,1,29,41,0.027224,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^2)/(5*x + 3)^2,x)","\frac{37\,x}{625}+\frac{682\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{121}{15625\,\left(x+\frac{3}{5}\right)}-\frac{78\,x^2}{125}+\frac{12\,x^3}{25}","Not used",1,"(37*x)/625 + (682*log(x + 3/5))/3125 - 121/(15625*(x + 3/5)) - (78*x^2)/125 + (12*x^3)/25","B"
1311,1,24,34,0.031213,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2))/(5*x + 3)^2,x)","\frac{319\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{92\,x}{125}-\frac{121}{3125\,\left(x+\frac{3}{5}\right)}+\frac{6\,x^2}{25}","Not used",1,"(319*log(x + 3/5))/625 - (92*x)/125 - 121/(3125*(x + 3/5)) + (6*x^2)/25","B"
1312,1,19,27,1.078333,"\text{Not used}","int((2*x - 1)^2/(5*x + 3)^2,x)","\frac{4\,x}{25}-\frac{44\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{121}{625\,\left(x+\frac{3}{5}\right)}","Not used",1,"(4*x)/25 - (44*log(x + 3/5))/125 - 121/(625*(x + 3/5))","B"
1313,1,22,32,1.100199,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)*(5*x + 3)^2),x)","\frac{49\,\ln\left(x+\frac{2}{3}\right)}{3}-\frac{407\,\ln\left(x+\frac{3}{5}\right)}{25}-\frac{121}{125\,\left(x+\frac{3}{5}\right)}","Not used",1,"(49*log(x + 2/3))/3 - (407*log(x + 3/5))/25 - 121/(125*(x + 3/5))","B"
1314,1,26,39,0.039952,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^2*(5*x + 3)^2),x)","308\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{2314\,x}{225}+\frac{487}{75}}{x^2+\frac{19\,x}{15}+\frac{2}{5}}","Not used",1,"308*atanh(30*x + 19) - ((2314*x)/225 + 487/75)/((19*x)/15 + x^2 + 2/5)","B"
1315,1,36,46,1.097581,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^3*(5*x + 3)^2),x)","2266\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{1133\,x^2}{15}+\frac{26513\,x}{270}+\frac{191}{6}}{x^3+\frac{29\,x^2}{15}+\frac{56\,x}{45}+\frac{4}{15}}","Not used",1,"2266*atanh(30*x + 19) - ((26513*x)/270 + (1133*x^2)/15 + 191/6)/((56*x)/45 + (29*x^2)/15 + x^3 + 4/15)","B"
1316,1,46,55,1.090272,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^4*(5*x + 3)^2),x)","14960\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{1496\,x^3}{3}+\frac{44132\,x^2}{45}+\frac{780464\,x}{1215}+\frac{56743}{405}}{x^4+\frac{13\,x^3}{5}+\frac{38\,x^2}{15}+\frac{148\,x}{135}+\frac{8}{45}}","Not used",1,"14960*atanh(30*x + 19) - ((780464*x)/1215 + (44132*x^2)/45 + (1496*x^3)/3 + 56743/405)/((148*x)/135 + (38*x^2)/15 + (13*x^3)/5 + x^4 + 8/45)","B"
1317,1,56,68,0.046267,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^5*(5*x + 3)^2),x)","92950\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{9295\,x^4}{3}+\frac{146861\,x^3}{18}+\frac{6523231\,x^2}{810}+\frac{5720639\,x}{1620}+\frac{940153}{1620}}{x^5+\frac{49\,x^4}{15}+\frac{64\,x^3}{15}+\frac{376\,x^2}{135}+\frac{368\,x}{405}+\frac{16}{135}}","Not used",1,"92950*atanh(30*x + 19) - ((5720639*x)/1620 + (6523231*x^2)/810 + (146861*x^3)/18 + (9295*x^4)/3 + 940153/1620)/((368*x)/405 + (376*x^2)/135 + (64*x^3)/15 + (49*x^4)/15 + x^5 + 16/135)","B"
1318,1,66,77,1.084900,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^6*(5*x + 3)^2),x)","555500\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{55550\,x^5}{3}+61105\,x^4+\frac{6531569\,x^3}{81}+\frac{129252629\,x^2}{2430}+\frac{127849303\,x}{7290}+\frac{14046664}{6075}}{x^6+\frac{59\,x^5}{15}+\frac{58\,x^4}{9}+\frac{152\,x^3}{27}+\frac{224\,x^2}{81}+\frac{176\,x}{243}+\frac{32}{405}}","Not used",1,"555500*atanh(30*x + 19) - ((127849303*x)/7290 + (129252629*x^2)/2430 + (6531569*x^3)/81 + 61105*x^4 + (55550*x^5)/3 + 14046664/6075)/((176*x)/243 + (224*x^2)/81 + (152*x^3)/27 + (58*x^4)/9 + (59*x^5)/15 + x^6 + 32/405)","B"
1319,1,76,90,1.088729,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^7*(5*x + 3)^2),x)","3231250\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{323125\,x^6}{3}+\frac{7690375\,x^5}{18}+\frac{114373325\,x^4}{162}+\frac{67186735\,x^3}{108}+\frac{499413211\,x^2}{1620}+\frac{26722518673\,x}{328050}+\frac{980484959}{109350}}{x^7+\frac{23\,x^6}{5}+\frac{136\,x^5}{15}+\frac{268\,x^4}{27}+\frac{176\,x^3}{27}+\frac{208\,x^2}{81}+\frac{2048\,x}{3645}+\frac{64}{1215}}","Not used",1,"3231250*atanh(30*x + 19) - ((26722518673*x)/328050 + (499413211*x^2)/1620 + (67186735*x^3)/108 + (114373325*x^4)/162 + (7690375*x^5)/18 + (323125*x^6)/3 + 980484959/109350)/((2048*x)/3645 + (208*x^2)/81 + (176*x^3)/27 + (268*x^4)/27 + (136*x^5)/15 + (23*x^6)/5 + x^7 + 64/1215)","B"
1320,1,86,97,1.093496,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^8*(5*x + 3)^2),x)","18425000\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{1842500\,x^7}{3}+\frac{25610750\,x^6}{9}+\frac{457640150\,x^5}{81}+\frac{1514162815\,x^4}{243}+\frac{1669697821\,x^3}{405}+\frac{29823173732\,x^2}{18225}+\frac{59178013234\,x}{164025}+\frac{1863616801}{54675}}{x^8+\frac{79\,x^7}{15}+\frac{182\,x^6}{15}+\frac{2156\,x^5}{135}+\frac{1064\,x^4}{81}+\frac{560\,x^3}{81}+\frac{8288\,x^2}{3645}+\frac{4672\,x}{10935}+\frac{128}{3645}}","Not used",1,"18425000*atanh(30*x + 19) - ((59178013234*x)/164025 + (29823173732*x^2)/18225 + (1669697821*x^3)/405 + (1514162815*x^4)/243 + (457640150*x^5)/81 + (25610750*x^6)/9 + (1842500*x^7)/3 + 1863616801/54675)/((4672*x)/10935 + (8288*x^2)/3645 + (560*x^3)/81 + (1064*x^4)/81 + (2156*x^5)/135 + (182*x^6)/15 + (79*x^7)/15 + x^8 + 128/3645)","B"
1321,1,62,87,1.106914,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^8)/(5*x + 3)^3,x)","\frac{92582457\,x}{9765625}+\frac{5888\,\ln\left(x+\frac{3}{5}\right)}{9765625}-\frac{\frac{572\,x}{48828125}+\frac{17281}{2441406250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{55559043\,x^2}{3906250}-\frac{5350194\,x^3}{390625}-\frac{1700919\,x^4}{31250}-\frac{74601\,x^5}{3125}+\frac{376407\,x^6}{6250}+\frac{332424\,x^7}{4375}+\frac{6561\,x^8}{250}","Not used",1,"(92582457*x)/9765625 + (5888*log(x + 3/5))/9765625 - ((572*x)/48828125 + 17281/2441406250)/((6*x)/5 + x^2 + 9/25) + (55559043*x^2)/3906250 - (5350194*x^3)/390625 - (1700919*x^4)/31250 - (74601*x^5)/3125 + (376407*x^6)/6250 + (332424*x^7)/4375 + (6561*x^8)/250","B"
1322,1,57,80,0.040530,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^7)/(5*x + 3)^3,x)","\frac{9251661\,x}{1953125}+\frac{21949\,\ln\left(x+\frac{3}{5}\right)}{9765625}-\frac{\frac{2497\,x}{48828125}+\frac{15103}{488281250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{1390203\,x^2}{390625}-\frac{162612\,x^3}{15625}-\frac{193833\,x^4}{12500}+\frac{104247\,x^5}{15625}+\frac{13608\,x^6}{625}+\frac{8748\,x^7}{875}","Not used",1,"(9251661*x)/1953125 + (21949*log(x + 3/5))/9765625 - ((2497*x)/48828125 + 15103/488281250)/((6*x)/5 + x^2 + 9/25) + (1390203*x^2)/390625 - (162612*x^3)/15625 - (193833*x^4)/12500 + (104247*x^5)/15625 + (13608*x^6)/625 + (8748*x^7)/875","B"
1323,1,52,73,0.036112,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^6)/(5*x + 3)^3,x)","\frac{920502\,x}{390625}+\frac{15547\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{\frac{2134\,x}{9765625}+\frac{517}{3906250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{189\,x^2}{15625}-\frac{16299\,x^3}{3125}-\frac{23571\,x^4}{12500}+\frac{17496\,x^5}{3125}+\frac{486\,x^6}{125}","Not used",1,"(920502*x)/390625 + (15547*log(x + 3/5))/1953125 - ((2134*x)/9765625 + 517/3906250)/((6*x)/5 + x^2 + 9/25) + (189*x^2)/15625 - (16299*x^3)/3125 - (23571*x^4)/12500 + (17496*x^5)/3125 + (486*x^6)/125","B"
1324,1,47,66,0.032425,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^5)/(5*x + 3)^3,x)","\frac{17796\,x}{15625}+\frac{10234\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{\frac{1771\,x}{1953125}+\frac{10747}{19531250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{5301\,x^2}{6250}-\frac{5499\,x^3}{3125}+\frac{648\,x^4}{625}+\frac{972\,x^5}{625}","Not used",1,"(17796*x)/15625 + (10234*log(x + 3/5))/390625 - ((1771*x)/1953125 + 10747/19531250)/((6*x)/5 + x^2 + 9/25) - (5301*x^2)/6250 - (5499*x^3)/3125 + (648*x^4)/625 + (972*x^5)/625","B"
1325,1,42,59,0.029503,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^4)/(5*x + 3)^3,x)","\frac{1419\,x}{3125}+\frac{1202\,\ln\left(x+\frac{3}{5}\right)}{15625}-\frac{\frac{1408\,x}{390625}+\frac{8569}{3906250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{4779\,x^2}{6250}-\frac{72\,x^3}{625}+\frac{81\,x^4}{125}","Not used",1,"(1419*x)/3125 + (1202*log(x + 3/5))/15625 - ((1408*x)/390625 + 8569/3906250)/((6*x)/5 + x^2 + 9/25) - (4779*x^2)/6250 - (72*x^3)/625 + (81*x^4)/125","B"
1326,1,37,52,0.028789,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^3)/(5*x + 3)^3,x)","\frac{23\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{153\,x}{3125}-\frac{\frac{209\,x}{15625}+\frac{6391}{781250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{216\,x^2}{625}+\frac{36\,x^3}{125}","Not used",1,"(23*log(x + 3/5))/125 - (153*x)/3125 - ((209*x)/15625 + 6391/781250)/((6*x)/5 + x^2 + 9/25) - (216*x^2)/625 + (36*x^3)/125","B"
1327,1,32,45,0.035608,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2)^2)/(5*x + 3)^3,x)","\frac{829\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{264\,x}{625}-\frac{\frac{682\,x}{15625}+\frac{4213}{156250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{18\,x^2}{125}","Not used",1,"(829*log(x + 3/5))/3125 - (264*x)/625 - ((682*x)/15625 + 4213/156250)/((6*x)/5 + x^2 + 9/25) + (18*x^2)/125","B"
1328,1,27,38,0.035835,"\text{Not used}","int(((2*x - 1)^2*(3*x + 2))/(5*x + 3)^3,x)","\frac{12\,x}{125}-\frac{128\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{\frac{319\,x}{3125}+\frac{407}{6250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(12*x)/125 - (128*log(x + 3/5))/625 - ((319*x)/3125 + 407/6250)/((6*x)/5 + x^2 + 9/25)","B"
1329,1,23,33,0.028650,"\text{Not used}","int((2*x - 1)^2/(5*x + 3)^3,x)","\frac{4\,\ln\left(x+\frac{3}{5}\right)}{125}+\frac{\frac{44\,x}{625}+\frac{143}{6250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(4*log(x + 3/5))/125 + ((44*x)/625 + 143/6250)/((6*x)/5 + x^2 + 9/25)","B"
1330,1,25,39,0.038225,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)*(5*x + 3)^3),x)","\frac{\frac{407\,x}{125}+\frac{2321}{1250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-98\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((407*x)/125 + 2321/1250)/((6*x)/5 + x^2 + 9/25) - 98*atanh(30*x + 19)","B"
1331,1,35,46,1.087401,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^2*(5*x + 3)^3),x)","\frac{\frac{707\,x^2}{15}+\frac{43597\,x}{750}+\frac{6704}{375}}{x^3+\frac{28\,x^2}{15}+\frac{29\,x}{25}+\frac{6}{25}}-1414\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((43597*x)/750 + (707*x^2)/15 + 6704/375)/((29*x)/25 + (28*x^2)/15 + x^3 + 6/25) - 1414*atanh(30*x + 19)","B"
1332,1,45,57,0.042463,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^3*(5*x + 3)^3),x)","\frac{\frac{6934\,x^3}{15}+\frac{65873\,x^2}{75}+\frac{124966\,x}{225}+\frac{52601}{450}}{x^4+\frac{38\,x^3}{15}+\frac{541\,x^2}{225}+\frac{76\,x}{75}+\frac{4}{25}}-13868\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((124966*x)/225 + (65873*x^2)/75 + (6934*x^3)/15 + 52601/450)/((76*x)/75 + (541*x^2)/225 + (38*x^3)/15 + x^4 + 4/25) - 13868*atanh(30*x + 19)","B"
1333,1,55,68,0.041759,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^4*(5*x + 3)^3),x)","\frac{\frac{11422\,x^4}{3}+\frac{439747\,x^3}{45}+\frac{19029052\,x^2}{2025}+\frac{5416693\,x}{1350}+\frac{433234}{675}}{x^5+\frac{16\,x^4}{5}+\frac{307\,x^3}{75}+\frac{1766\,x^2}{675}+\frac{188\,x}{225}+\frac{8}{75}}-114220\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((5416693*x)/1350 + (19029052*x^2)/2025 + (439747*x^3)/45 + (11422*x^4)/3 + 433234/675)/((188*x)/225 + (1766*x^2)/675 + (307*x^3)/75 + (16*x^4)/5 + x^5 + 8/75) - 114220*atanh(30*x + 19)","B"
1334,1,65,77,1.122147,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^5*(5*x + 3)^3),x)","\frac{\frac{84995\,x^5}{3}+\frac{1648903\,x^4}{18}+\frac{47954179\,x^3}{405}+\frac{1858347679\,x^2}{24300}+\frac{99957973\,x}{4050}+\frac{25790737}{8100}}{x^6+\frac{58\,x^5}{15}+\frac{467\,x^4}{75}+\frac{3608\,x^3}{675}+\frac{5224\,x^2}{2025}+\frac{448\,x}{675}+\frac{16}{225}}-849950\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((99957973*x)/4050 + (1858347679*x^2)/24300 + (47954179*x^3)/405 + (1648903*x^4)/18 + (84995*x^5)/3 + 25790737/8100)/((448*x)/675 + (5224*x^2)/2025 + (3608*x^3)/675 + (467*x^4)/75 + (58*x^5)/15 + x^6 + 16/225) - 849950*atanh(30*x + 19)","B"
1335,1,75,88,1.114509,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^6*(5*x + 3)^3),x)","\frac{\frac{591625\,x^6}{3}+\frac{1538225\,x^5}{2}+\frac{101191540\,x^4}{81}+\frac{1051488013\,x^3}{972}+\frac{9598703854\,x^2}{18225}+\frac{3321676301\,x}{24300}+\frac{897608377}{60750}}{x^7+\frac{68\,x^6}{15}+\frac{1981\,x^5}{225}+\frac{1282\,x^4}{135}+\frac{2488\,x^3}{405}+\frac{2896\,x^2}{1215}+\frac{208\,x}{405}+\frac{32}{675}}-5916250\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((3321676301*x)/24300 + (9598703854*x^2)/18225 + (1051488013*x^3)/972 + (101191540*x^4)/81 + (1538225*x^5)/2 + (591625*x^6)/3 + 897608377/60750)/((208*x)/405 + (2896*x^2)/1215 + (2488*x^3)/405 + (1282*x^4)/135 + (1981*x^5)/225 + (68*x^6)/15 + x^7 + 32/675) - 5916250*atanh(30*x + 19)","B"
1336,1,85,101,1.101258,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^7*(5*x + 3)^3),x)","\frac{\frac{3927500\,x^7}{3}+\frac{53806750\,x^6}{9}+\frac{947470100\,x^5}{81}+\frac{114392365\,x^4}{9}+\frac{3354993038\,x^3}{405}+\frac{59018836277\,x^2}{18225}+\frac{64065488324\,x}{91125}+\frac{11917538647}{182250}}{x^8+\frac{26\,x^7}{5}+\frac{887\,x^6}{75}+\frac{10372\,x^5}{675}+\frac{1684\,x^4}{135}+\frac{2624\,x^3}{405}+\frac{7664\,x^2}{3645}+\frac{2368\,x}{6075}+\frac{64}{2025}}-39275000\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((64065488324*x)/91125 + (59018836277*x^2)/18225 + (3354993038*x^3)/405 + (114392365*x^4)/9 + (947470100*x^5)/81 + (53806750*x^6)/9 + (3927500*x^7)/3 + 11917538647/182250)/((2368*x)/6075 + (7664*x^2)/3645 + (2624*x^3)/405 + (1684*x^4)/135 + (10372*x^5)/675 + (887*x^6)/75 + (26*x^7)/5 + x^8 + 64/2025) - 39275000*atanh(30*x + 19)","B"
1337,1,95,110,0.054060,"\text{Not used}","int((2*x - 1)^2/((3*x + 2)^8*(5*x + 3)^3),x)","\frac{\frac{25165000\,x^8}{3}+\frac{395090500\,x^7}{9}+\frac{8139367600\,x^6}{81}+\frac{31931415530\,x^5}{243}+\frac{43485401848\,x^4}{405}+\frac{1023058181782\,x^3}{18225}+\frac{1671013298548\,x^2}{91125}+\frac{1871049429619\,x}{546750}+\frac{76360244444}{273375}}{x^9+\frac{88\,x^8}{15}+\frac{1147\,x^7}{75}+\frac{15694\,x^6}{675}+\frac{46004\,x^5}{2025}+\frac{5992\,x^4}{405}+\frac{23408\,x^3}{3645}+\frac{97952\,x^2}{54675}+\frac{5312\,x}{18225}+\frac{128}{6075}}-251650000\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((1871049429619*x)/546750 + (1671013298548*x^2)/91125 + (1023058181782*x^3)/18225 + (43485401848*x^4)/405 + (31931415530*x^5)/243 + (8139367600*x^6)/81 + (395090500*x^7)/9 + (25165000*x^8)/3 + 76360244444/273375)/((5312*x)/18225 + (97952*x^2)/54675 + (23408*x^3)/3645 + (5992*x^4)/405 + (46004*x^5)/2025 + (15694*x^6)/675 + (1147*x^7)/75 + (88*x^8)/15 + x^9 + 128/6075) - 251650000*atanh(30*x + 19)","B"
1338,1,64,56,0.076086,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^8*(5*x + 3),x)","-\frac{262440\,x^{13}}{13}-96957\,x^{12}-\frac{1966842\,x^{11}}{11}-\frac{1290573\,x^{10}}{10}+38331\,x^9+128412\,x^8+67248\,x^7-17456\,x^6-\frac{159712\,x^5}{5}-9216\,x^4+3328\,x^3+2944\,x^2+768\,x","Not used",1,"768*x + 2944*x^2 + 3328*x^3 - 9216*x^4 - (159712*x^5)/5 - 17456*x^6 + 67248*x^7 + 128412*x^8 + 38331*x^9 - (1290573*x^10)/10 - (1966842*x^11)/11 - 96957*x^12 - (262440*x^13)/13","B"
1339,1,59,56,0.062433,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^7*(5*x + 3),x)","-7290\,x^{12}-\frac{329508\,x^{11}}{11}-\frac{217971\,x^{10}}{5}-15507\,x^9+\frac{208035\,x^8}{8}+29106\,x^7+3514\,x^6-\frac{48968\,x^5}{5}-5148\,x^4+480\,x^3+1184\,x^2+384\,x","Not used",1,"384*x + 1184*x^2 + 480*x^3 - 5148*x^4 - (48968*x^5)/5 + 3514*x^6 + 29106*x^7 + (208035*x^8)/8 - 15507*x^9 - (217971*x^10)/5 - (329508*x^11)/11 - 7290*x^12","B"
1340,1,54,56,0.050643,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^6*(5*x + 3),x)","-\frac{29160\,x^{11}}{11}-\frac{45198\,x^{10}}{5}-9450\,x^9+\frac{10179\,x^8}{8}+8937\,x^7+4368\,x^6-\frac{10444\,x^5}{5}-2340\,x^4-208\,x^3+448\,x^2+192\,x","Not used",1,"192*x + 448*x^2 - 208*x^3 - 2340*x^4 - (10444*x^5)/5 + 4368*x^6 + 8937*x^7 + (10179*x^8)/8 - 9450*x^9 - (45198*x^10)/5 - (29160*x^11)/11","B"
1341,1,49,56,0.043041,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^5*(5*x + 3),x)","-972\,x^{10}-2628\,x^9-\frac{6291\,x^8}{4}+1683\,x^7+\frac{4333\,x^6}{2}+14\,x^5-882\,x^4-256\,x^3+152\,x^2+96\,x","Not used",1,"96*x + 152*x^2 - 256*x^3 - 882*x^4 + 14*x^5 + (4333*x^6)/2 + 1683*x^7 - (6291*x^8)/4 - 2628*x^9 - 972*x^10","B"
1342,1,44,56,0.033375,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^4*(5*x + 3),x)","-360\,x^9-\frac{1431\,x^8}{2}-54\,x^7+\frac{1393\,x^6}{2}+\frac{1547\,x^5}{5}-252\,x^4-168\,x^3+40\,x^2+48\,x","Not used",1,"48*x + 40*x^2 - 168*x^3 - 252*x^4 + (1547*x^5)/5 + (1393*x^6)/2 - 54*x^7 - (1431*x^8)/2 - 360*x^9","B"
1343,1,39,45,0.029337,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^3*(5*x + 3),x)","-135\,x^8-\frac{1188\,x^7}{7}+111\,x^6+\frac{949\,x^5}{5}-\frac{117\,x^4}{4}-86\,x^3+2\,x^2+24\,x","Not used",1,"24*x + 2*x^2 - 86*x^3 - (117*x^4)/4 + (949*x^5)/5 + 111*x^6 - (1188*x^7)/7 - 135*x^8","B"
1344,1,34,40,0.025946,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^2*(5*x + 3),x)","-\frac{360\,x^7}{7}-26\,x^6+\frac{326\,x^5}{5}+\frac{99\,x^4}{4}-35\,x^3-8\,x^2+12\,x","Not used",1,"12*x - 8*x^2 - 35*x^3 + (99*x^4)/4 + (326*x^5)/5 - 26*x^6 - (360*x^7)/7","B"
1345,1,29,34,0.021656,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)*(5*x + 3),x)","-20\,x^6+\frac{28\,x^5}{5}+\frac{45\,x^4}{2}-9\,x^3-\frac{17\,x^2}{2}+6\,x","Not used",1,"6*x - (17*x^2)/2 - 9*x^3 + (45*x^4)/2 + (28*x^5)/5 - 20*x^6","B"
1346,1,24,23,0.018775,"\text{Not used}","int(-(2*x - 1)^3*(5*x + 3),x)","-8\,x^5+9\,x^4+2\,x^3-\frac{13\,x^2}{2}+3\,x","Not used",1,"3*x - (13*x^2)/2 + 2*x^3 + 9*x^4 - 8*x^5","B"
1347,1,25,37,0.027571,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2),x)","\frac{293\,x}{81}-\frac{343\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{161\,x^2}{27}+\frac{188\,x^3}{27}-\frac{10\,x^4}{3}","Not used",1,"(293*x)/81 - (343*log(x + 2/3))/243 - (161*x^2)/27 + (188*x^3)/27 - (10*x^4)/3","B"
1348,1,29,41,0.027253,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^2,x)","\frac{2009\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{286\,x}{27}+\frac{343}{729\,\left(x+\frac{2}{3}\right)}+\frac{134\,x^2}{27}-\frac{40\,x^3}{27}","Not used",1,"(2009*log(x + 2/3))/243 - (286*x)/27 + 343/(729*(x + 2/3)) + (134*x^2)/27 - (40*x^3)/27","B"
1349,1,32,45,0.033419,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^3,x)","\frac{116\,x}{27}-\frac{518\,\ln\left(x+\frac{2}{3}\right)}{81}-\frac{\frac{2009\,x}{729}+\frac{7693}{4374}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}-\frac{20\,x^2}{27}","Not used",1,"(116*x)/27 - (518*log(x + 2/3))/81 - ((2009*x)/729 + 7693/4374)/((4*x)/3 + x^2 + 4/9) - (20*x^2)/27","B"
1350,1,36,49,0.037091,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^4,x)","\frac{428\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{40\,x}{81}+\frac{\frac{518\,x^2}{243}+\frac{10423\,x}{4374}+\frac{12964}{19683}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(428*log(x + 2/3))/243 - (40*x)/81 + ((10423*x)/4374 + (518*x^2)/243 + 12964/19683)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1351,1,44,55,1.088030,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^5,x)","-\frac{40\,\ln\left(x+\frac{2}{3}\right)}{243}-\frac{\frac{428\,x^3}{729}+\frac{199\,x^2}{243}+\frac{8093\,x}{19683}+\frac{18835}{236196}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"- (40*log(x + 2/3))/243 - ((8093*x)/19683 + (199*x^2)/243 + (428*x^3)/729 + 18835/236196)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1352,1,46,37,0.030192,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^6,x)","\frac{40}{243\,\left(3\,x+2\right)}-\frac{214}{243\,{\left(3\,x+2\right)}^2}+\frac{518}{243\,{\left(3\,x+2\right)}^3}-\frac{2009}{972\,{\left(3\,x+2\right)}^4}+\frac{343}{1215\,{\left(3\,x+2\right)}^5}","Not used",1,"40/(243*(3*x + 2)) - 214/(243*(3*x + 2)^2) + 518/(243*(3*x + 2)^3) - 2009/(972*(3*x + 2)^4) + 343/(1215*(3*x + 2)^5)","B"
1353,1,46,55,0.031270,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^7,x)","\frac{20}{243\,{\left(3\,x+2\right)}^2}-\frac{428}{729\,{\left(3\,x+2\right)}^3}+\frac{259}{162\,{\left(3\,x+2\right)}^4}-\frac{2009}{1215\,{\left(3\,x+2\right)}^5}+\frac{343}{1458\,{\left(3\,x+2\right)}^6}","Not used",1,"20/(243*(3*x + 2)^2) - 428/(729*(3*x + 2)^3) + 259/(162*(3*x + 2)^4) - 2009/(1215*(3*x + 2)^5) + 343/(1458*(3*x + 2)^6)","B"
1354,1,46,56,1.085111,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3))/(3*x + 2)^8,x)","\frac{40}{729\,{\left(3\,x+2\right)}^3}-\frac{107}{243\,{\left(3\,x+2\right)}^4}+\frac{518}{405\,{\left(3\,x+2\right)}^5}-\frac{2009}{1458\,{\left(3\,x+2\right)}^6}+\frac{49}{243\,{\left(3\,x+2\right)}^7}","Not used",1,"40/(729*(3*x + 2)^3) - 107/(243*(3*x + 2)^4) + 518/(405*(3*x + 2)^5) - 2009/(1458*(3*x + 2)^6) + 49/(243*(3*x + 2)^7)","B"
1355,1,69,67,0.097156,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^8*(5*x + 3)^2,x)","-\frac{656100\,x^{14}}{7}-\frac{6604740\,x^{13}}{13}-\frac{2220777\,x^{12}}{2}-\frac{12353391\,x^{11}}{11}-\frac{1073412\,x^{10}}{5}+685713\,x^9+679446\,x^8+\frac{888528\,x^7}{7}-\frac{556384\,x^6}{3}-\frac{663456\,x^5}{5}-15168\,x^4+\frac{59392\,x^3}{3}+10752\,x^2+2304\,x","Not used",1,"2304*x + 10752*x^2 + (59392*x^3)/3 - 15168*x^4 - (663456*x^5)/5 - (556384*x^6)/3 + (888528*x^7)/7 + 679446*x^8 + 685713*x^9 - (1073412*x^10)/5 - (12353391*x^11)/11 - (2220777*x^12)/2 - (6604740*x^13)/13 - (656100*x^14)/7","B"
1356,1,64,67,0.080991,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^7*(5*x + 3)^2,x)","-\frac{437400\,x^{13}}{13}-159165\,x^{12}-\frac{3168234\,x^{11}}{11}-\frac{2005641\,x^{10}}{10}+69054\,x^9+\frac{1642815\,x^8}{8}+102378\,x^7-\frac{90794\,x^6}{3}-\frac{249864\,x^5}{5}-13644\,x^4+\frac{16160\,x^3}{3}+4512\,x^2+1152\,x","Not used",1,"1152*x + 4512*x^2 + (16160*x^3)/3 - 13644*x^4 - (249864*x^5)/5 - (90794*x^6)/3 + 102378*x^7 + (1642815*x^8)/8 + 69054*x^9 - (2005641*x^10)/10 - (3168234*x^11)/11 - 159165*x^12 - (437400*x^13)/13","B"
1357,1,59,67,0.064698,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^6*(5*x + 3)^2,x)","-12150\,x^{12}-\frac{539460\,x^{11}}{11}-\frac{348219\,x^{10}}{5}-22695\,x^9+\frac{85833\,x^8}{2}+45531\,x^7+\frac{13202\,x^6}{3}-\frac{78132\,x^5}{5}-7800\,x^4+\frac{2608\,x^3}{3}+1824\,x^2+576\,x","Not used",1,"576*x + 1824*x^2 + (2608*x^3)/3 - 7800*x^4 - (78132*x^5)/5 + (13202*x^6)/3 + 45531*x^7 + (85833*x^8)/2 - 22695*x^9 - (348219*x^10)/5 - (539460*x^11)/11 - 12150*x^12","B"
1358,1,54,67,0.054302,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^5*(5*x + 3)^2,x)","-\frac{48600\,x^{11}}{11}-14742\,x^{10}-14874\,x^9+\frac{21159\,x^8}{8}+14334\,x^7+\frac{39347\,x^6}{6}-3486\,x^5-3606\,x^4-\frac{784\,x^3}{3}+696\,x^2+288\,x","Not used",1,"288*x + 696*x^2 - (784*x^3)/3 - 3606*x^4 - 3486*x^5 + (39347*x^6)/6 + 14334*x^7 + (21159*x^8)/8 - 14874*x^9 - 14742*x^10 - (48600*x^11)/11","B"
1359,1,49,67,0.044282,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^4*(5*x + 3)^2,x)","-1620\,x^{10}-4260\,x^9-\frac{9531\,x^8}{4}+2823\,x^7+\frac{10136\,x^6}{3}-\frac{399\,x^5}{5}-1386\,x^4-\frac{1112\,x^3}{3}+240\,x^2+144\,x","Not used",1,"144*x + 240*x^2 - (1112*x^3)/3 - 1386*x^4 - (399*x^5)/5 + (10136*x^6)/3 + 2823*x^7 - (9531*x^8)/4 - 4260*x^9 - 1620*x^10","B"
1360,1,44,56,0.035469,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^3*(5*x + 3)^2,x)","-600\,x^9-\frac{2295\,x^8}{2}-\frac{234\,x^7}{7}+\frac{6743\,x^6}{6}+\frac{2262\,x^5}{5}-\frac{1641\,x^4}{4}-\frac{754\,x^3}{3}+66\,x^2+72\,x","Not used",1,"72*x + 66*x^2 - (754*x^3)/3 - (1641*x^4)/4 + (2262*x^5)/5 + (6743*x^6)/6 - (234*x^7)/7 - (2295*x^8)/2 - 600*x^9","B"
1361,1,39,47,0.030296,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^2*(5*x + 3)^2,x)","-225\,x^8-\frac{1860\,x^7}{7}+\frac{581\,x^6}{3}+\frac{1473\,x^5}{5}-57\,x^4-\frac{395\,x^3}{3}+6\,x^2+36\,x","Not used",1,"36*x + 6*x^2 - (395*x^3)/3 - 57*x^4 + (1473*x^5)/5 + (581*x^6)/3 - (1860*x^7)/7 - 225*x^8","B"
1362,1,34,46,0.025565,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)*(5*x + 3)^2,x)","-\frac{600\,x^7}{7}-\frac{110\,x^6}{3}+\frac{534\,x^5}{5}+\frac{135\,x^4}{4}-\frac{166\,x^3}{3}-\frac{21\,x^2}{2}+18\,x","Not used",1,"18*x - (21*x^2)/2 - (166*x^3)/3 + (135*x^4)/4 + (534*x^5)/5 - (110*x^6)/3 - (600*x^7)/7","B"
1363,1,29,34,0.022124,"\text{Not used}","int(-(2*x - 1)^3*(5*x + 3)^2,x)","-\frac{100\,x^6}{3}+12\,x^5+\frac{69\,x^4}{2}-\frac{47\,x^3}{3}-12\,x^2+9\,x","Not used",1,"9*x - 12*x^2 - (47*x^3)/3 + (69*x^4)/2 + 12*x^5 - (100*x^6)/3","B"
1364,1,30,44,0.028079,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2),x)","\frac{922\,x}{243}+\frac{343\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{1433\,x^2}{162}+\frac{82\,x^3}{81}+\frac{145\,x^4}{9}-\frac{40\,x^5}{3}","Not used",1,"(922*x)/243 + (343*log(x + 2/3))/729 - (1433*x^2)/162 + (82*x^3)/81 + (145*x^4)/9 - (40*x^5)/3","B"
1365,1,34,48,0.028056,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^2,x)","\frac{2323\,x}{243}-\frac{3724\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{343}{2187\,\left(x+\frac{2}{3}\right)}-\frac{313\,x^2}{27}+\frac{980\,x^3}{81}-\frac{50\,x^4}{9}","Not used",1,"(2323*x)/243 - (3724*log(x + 2/3))/729 - 343/(2187*(x + 2/3)) - (313*x^2)/27 + (980*x^3)/81 - (50*x^4)/9","B"
1366,1,36,52,0.027617,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^3,x)","\frac{11599\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{1546\,x}{81}+\frac{\frac{3724\,x}{2187}+\frac{539}{486}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}+\frac{230\,x^2}{27}-\frac{200\,x^3}{81}","Not used",1,"(11599*log(x + 2/3))/729 - (1546*x)/81 + ((3724*x)/2187 + 539/486)/((4*x)/3 + x^2 + 4/9) + (230*x^2)/27 - (200*x^3)/81","B"
1367,1,42,56,0.036329,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^4,x)","\frac{1780\,x}{243}-\frac{8198\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{\frac{11599\,x^2}{2187}+\frac{44534\,x}{6561}+\frac{128359}{59049}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}-\frac{100\,x^2}{81}","Not used",1,"(1780*x)/243 - (8198*log(x + 2/3))/729 - ((44534*x)/6561 + (11599*x^2)/2187 + 128359/59049)/((4*x)/3 + 2*x^2 + x^3 + 8/27) - (100*x^2)/81","B"
1368,1,46,60,1.112377,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^5,x)","\frac{2180\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{200\,x}{243}+\frac{\frac{8198\,x^3}{2187}+\frac{86777\,x^2}{13122}+\frac{229258\,x}{59049}+\frac{537395}{708588}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(2180*log(x + 2/3))/729 - (200*x)/243 + ((229258*x)/59049 + (86777*x^2)/13122 + (8198*x^3)/2187 + 537395/708588)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1369,1,54,66,0.040484,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^6,x)","-\frac{200\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{\frac{2180\,x^4}{2187}+\frac{4447\,x^3}{2187}+\frac{94777\,x^2}{59049}+\frac{105319\,x}{177147}+\frac{236399}{2657205}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"- (200*log(x + 2/3))/729 - ((105319*x)/177147 + (94777*x^2)/59049 + (4447*x^3)/2187 + (2180*x^4)/2187 + 236399/2657205)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1370,1,55,67,1.105212,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^7,x)","\frac{200}{729\,\left(3\,x+2\right)}-\frac{1090}{729\,{\left(3\,x+2\right)}^2}+\frac{8198}{2187\,{\left(3\,x+2\right)}^3}-\frac{11599}{2916\,{\left(3\,x+2\right)}^4}+\frac{3724}{3645\,{\left(3\,x+2\right)}^5}-\frac{343}{4374\,{\left(3\,x+2\right)}^6}","Not used",1,"200/(729*(3*x + 2)) - 1090/(729*(3*x + 2)^2) + 8198/(2187*(3*x + 2)^3) - 11599/(2916*(3*x + 2)^4) + 3724/(3645*(3*x + 2)^5) - 343/(4374*(3*x + 2)^6)","B"
1371,1,55,67,0.034900,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^2)/(3*x + 2)^8,x)","\frac{100}{729\,{\left(3\,x+2\right)}^2}-\frac{2180}{2187\,{\left(3\,x+2\right)}^3}+\frac{4099}{1458\,{\left(3\,x+2\right)}^4}-\frac{11599}{3645\,{\left(3\,x+2\right)}^5}+\frac{1862}{2187\,{\left(3\,x+2\right)}^6}-\frac{49}{729\,{\left(3\,x+2\right)}^7}","Not used",1,"100/(729*(3*x + 2)^2) - 2180/(2187*(3*x + 2)^3) + 4099/(1458*(3*x + 2)^4) - 11599/(3645*(3*x + 2)^5) + 1862/(2187*(3*x + 2)^6) - 49/(729*(3*x + 2)^7)","B"
1372,1,69,78,0.096851,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^7*(5*x + 3)^3,x)","-\frac{1093500\,x^{14}}{7}-\frac{10862100\,x^{13}}{13}-\frac{3595185\,x^{12}}{2}-\frac{19532907\,x^{11}}{11}-\frac{2909493\,x^{10}}{10}+1119837\,x^9+\frac{8511675\,x^8}{8}+\frac{1241998\,x^7}{7}-299014\,x^6-\frac{1022472\,x^5}{5}-20732\,x^4+31200\,x^3+16416\,x^2+3456\,x","Not used",1,"3456*x + 16416*x^2 + 31200*x^3 - 20732*x^4 - (1022472*x^5)/5 - 299014*x^6 + (1241998*x^7)/7 + (8511675*x^8)/8 + 1119837*x^9 - (2909493*x^10)/10 - (19532907*x^11)/11 - (3595185*x^12)/2 - (10862100*x^13)/13 - (1093500*x^14)/7","B"
1373,1,64,78,0.078812,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^6*(5*x + 3)^3,x)","-\frac{729000\,x^{13}}{13}-261225\,x^{12}-\frac{5100570\,x^{11}}{11}-\frac{3110589\,x^{10}}{10}+122655\,x^9+\frac{2623581\,x^8}{8}+155453\,x^7-51908\,x^6-\frac{390396\,x^5}{5}-20140\,x^4+8688\,x^3+6912\,x^2+1728\,x","Not used",1,"1728*x + 6912*x^2 + 8688*x^3 - 20140*x^4 - (390396*x^5)/5 - 51908*x^6 + 155453*x^7 + (2623581*x^8)/8 + 122655*x^9 - (3110589*x^10)/10 - (5100570*x^11)/11 - 261225*x^12 - (729000*x^13)/13","B"
1374,1,59,78,0.066019,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^5*(5*x + 3)^3,x)","-20250\,x^{12}-\frac{882900\,x^{11}}{11}-111159\,x^{10}-32867\,x^9+\frac{565167\,x^8}{8}+71107\,x^7+\frac{10297\,x^6}{2}-24882\,x^5-11798\,x^4+1536\,x^3+2808\,x^2+864\,x","Not used",1,"864*x + 2808*x^2 + 1536*x^3 - 11798*x^4 - 24882*x^5 + (10297*x^6)/2 + 71107*x^7 + (565167*x^8)/8 - 32867*x^9 - 111159*x^10 - (882900*x^11)/11 - 20250*x^12","B"
1375,1,54,62,0.056682,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^4*(5*x + 3)^3,x)","-\frac{81000\,x^{11}}{11}-24030\,x^{10}-23370\,x^9+\frac{41619\,x^8}{8}+22949\,x^7+\frac{19607\,x^6}{2}-\frac{28917\,x^5}{5}-5548\,x^4-312\,x^3+1080\,x^2+432\,x","Not used",1,"432*x + 1080*x^2 - 312*x^3 - 5548*x^4 - (28917*x^5)/5 + (19607*x^6)/2 + 22949*x^7 + (41619*x^8)/8 - 23370*x^9 - 24030*x^10 - (81000*x^11)/11","B"
1376,1,49,59,0.043713,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^3*(5*x + 3)^3,x)","-2700\,x^{10}-6900\,x^9-\frac{14355\,x^8}{4}+\frac{33013\,x^7}{7}+\frac{10513\,x^6}{2}-\frac{1419\,x^5}{5}-\frac{8693\,x^4}{4}-534\,x^3+378\,x^2+216\,x","Not used",1,"216*x + 378*x^2 - 534*x^3 - (8693*x^4)/4 - (1419*x^5)/5 + (10513*x^6)/2 + (33013*x^7)/7 - (14355*x^8)/4 - 6900*x^9 - 2700*x^10","B"
1377,1,44,54,0.034958,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)^2*(5*x + 3)^3,x)","-1000\,x^9-\frac{3675\,x^8}{2}+\frac{230\,x^7}{7}+\frac{3617\,x^6}{2}+\frac{3279\,x^5}{5}-\frac{2659\,x^4}{4}-375\,x^3+108\,x^2+108\,x","Not used",1,"108*x + 108*x^2 - 375*x^3 - (2659*x^4)/4 + (3279*x^5)/5 + (3617*x^6)/2 + (230*x^7)/7 - (3675*x^8)/2 - 1000*x^9","B"
1378,1,39,47,0.029541,"\text{Not used}","int(-(2*x - 1)^3*(3*x + 2)*(5*x + 3)^3,x)","-375\,x^8-\frac{2900\,x^7}{7}+335\,x^6+\frac{2277\,x^5}{5}-\frac{425\,x^4}{4}-201\,x^3+\frac{27\,x^2}{2}+54\,x","Not used",1,"54*x + (27*x^2)/2 - 201*x^3 - (425*x^4)/4 + (2277*x^5)/5 + 335*x^6 - (2900*x^7)/7 - 375*x^8","B"
1379,1,34,40,0.023735,"\text{Not used}","int(-(2*x - 1)^3*(5*x + 3)^3,x)","-\frac{1000\,x^7}{7}-50\,x^6+174\,x^5+\frac{179\,x^4}{4}-87\,x^3-\frac{27\,x^2}{2}+27\,x","Not used",1,"27*x - (27*x^2)/2 - 87*x^3 + (179*x^4)/4 + 174*x^5 - 50*x^6 - (1000*x^7)/7","B"
1380,1,35,51,0.029653,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2),x)","\frac{10013\,x}{729}-\frac{343\,\ln\left(x+\frac{2}{3}\right)}{2187}-\frac{8287\,x^2}{486}-\frac{6427\,x^3}{243}+\frac{2815\,x^4}{54}+\frac{220\,x^5}{9}-\frac{500\,x^6}{9}","Not used",1,"(10013*x)/729 - (343*log(x + 2/3))/2187 - (8287*x^2)/486 - (6427*x^3)/243 + (2815*x^4)/54 + (220*x^5)/9 - (500*x^6)/9","B"
1381,1,39,55,0.030617,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^2,x)","\frac{2287\,x}{729}+\frac{1813\,\ln\left(x+\frac{2}{3}\right)}{729}+\frac{343}{6561\,\left(x+\frac{2}{3}\right)}-\frac{5287\,x^2}{486}-\frac{190\,x^3}{81}+\frac{775\,x^4}{27}-\frac{200\,x^5}{9}","Not used",1,"(2287*x)/729 + (1813*log(x + 2/3))/729 + 343/(6561*(x + 2/3)) - (5287*x^2)/486 - (190*x^3)/81 + (775*x^4)/27 - (200*x^5)/9","B"
1382,1,42,59,0.030066,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^3,x)","\frac{16253\,x}{729}-\frac{10073\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{\frac{1813\,x}{2187}+\frac{21413}{39366}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}-\frac{1795\,x^2}{81}+\frac{1700\,x^3}{81}-\frac{250\,x^4}{27}","Not used",1,"(16253*x)/729 - (10073*log(x + 2/3))/729 - ((1813*x)/2187 + 21413/39366)/((4*x)/3 + x^2 + 4/9) - (1795*x^2)/81 + (1700*x^3)/81 - (250*x^4)/27","B"
1383,1,46,63,0.029966,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^4,x)","\frac{66193\,\ln\left(x+\frac{2}{3}\right)}{2187}-\frac{24970\,x}{729}+\frac{\frac{10073\,x^2}{2187}+\frac{26257\,x}{4374}+\frac{346654}{177147}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}+\frac{3550\,x^2}{243}-\frac{1000\,x^3}{243}","Not used",1,"(66193*log(x + 2/3))/2187 - (24970*x)/729 + ((26257*x)/4374 + (10073*x^2)/2187 + 346654/177147)/((4*x)/3 + 2*x^2 + x^3 + 8/27) + (3550*x^2)/243 - (1000*x^3)/243","B"
1384,1,52,67,0.035797,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^5,x)","\frac{9100\,x}{729}-\frac{14390\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{500\,x^2}{243}-\frac{\frac{66193\,x^3}{6561}+\frac{254699\,x^2}{13122}+\frac{735691\,x}{59049}+\frac{210065}{78732}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(9100*x)/729 - (14390*log(x + 2/3))/729 - (500*x^2)/243 - ((735691*x)/59049 + (254699*x^2)/13122 + (66193*x^3)/6561 + 210065/78732)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1385,1,56,71,1.133321,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^6,x)","\frac{3700\,\ln\left(x+\frac{2}{3}\right)}{729}-\frac{1000\,x}{729}+\frac{\frac{14390\,x^4}{2187}+\frac{624527\,x^3}{39366}+\frac{847574\,x^2}{59049}+\frac{4092857\,x}{708588}+\frac{515099}{590490}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"(3700*log(x + 2/3))/729 - (1000*x)/729 + ((4092857*x)/708588 + (847574*x^2)/59049 + (624527*x^3)/39366 + (14390*x^4)/2187 + 515099/590490)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1386,1,64,77,0.045237,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^7,x)","-\frac{1000\,\ln\left(x+\frac{2}{3}\right)}{2187}-\frac{\frac{3700\,x^5}{2187}+\frac{9935\,x^4}{2187}+\frac{880153\,x^3}{177147}+\frac{1979165\,x^2}{708588}+\frac{2164604\,x}{2657205}+\frac{1582541}{15943230}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}","Not used",1,"- (1000*log(x + 2/3))/2187 - ((2164604*x)/2657205 + (1979165*x^2)/708588 + (880153*x^3)/177147 + (9935*x^4)/2187 + (3700*x^5)/2187 + 1582541/15943230)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729)","B"
1387,1,64,78,1.121821,"\text{Not used}","int(-((2*x - 1)^3*(5*x + 3)^3)/(3*x + 2)^8,x)","\frac{1000}{2187\,\left(3\,x+2\right)}-\frac{1850}{729\,{\left(3\,x+2\right)}^2}+\frac{14390}{2187\,{\left(3\,x+2\right)}^3}-\frac{66193}{8748\,{\left(3\,x+2\right)}^4}+\frac{10073}{3645\,{\left(3\,x+2\right)}^5}-\frac{1813}{4374\,{\left(3\,x+2\right)}^6}+\frac{49}{2187\,{\left(3\,x+2\right)}^7}","Not used",1,"1000/(2187*(3*x + 2)) - 1850/(729*(3*x + 2)^2) + 14390/(2187*(3*x + 2)^3) - 66193/(8748*(3*x + 2)^4) + 10073/(3645*(3*x + 2)^5) - 1813/(4374*(3*x + 2)^6) + 49/(2187*(3*x + 2)^7)","B"
1388,1,50,72,0.053317,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^6)/(5*x + 3),x)","\frac{41666223\,x}{1953125}+\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{9765625}+\frac{11111259\,x^2}{781250}-\frac{17453753\,x^3}{234375}-\frac{5848749\,x^4}{62500}+\frac{2212083\,x^5}{15625}+\frac{331713\,x^6}{1250}-\frac{40338\,x^7}{875}-\frac{13851\,x^8}{50}-\frac{648\,x^9}{5}","Not used",1,"(41666223*x)/1953125 + (1331*log(x + 3/5))/9765625 + (11111259*x^2)/781250 - (17453753*x^3)/234375 - (5848749*x^4)/62500 + (2212083*x^5)/15625 + (331713*x^6)/1250 - (40338*x^7)/875 - (13851*x^8)/50 - (648*x^9)/5","B"
1389,1,45,65,0.039809,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^5)/(5*x + 3),x)","\frac{4166223\,x}{390625}+\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{138741\,x^2}{156250}-\frac{1703753\,x^3}{46875}-\frac{73749\,x^4}{12500}+\frac{243333\,x^5}{3125}+\frac{4419\,x^6}{125}-\frac{11988\,x^7}{175}-\frac{243\,x^8}{5}","Not used",1,"(4166223*x)/390625 + (1331*log(x + 3/5))/1953125 - (138741*x^2)/156250 - (1703753*x^3)/46875 - (73749*x^4)/12500 + (243333*x^5)/3125 + (4419*x^6)/125 - (11988*x^7)/175 - (243*x^8)/5","B"
1390,1,40,58,0.035013,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^4)/(5*x + 3),x)","\frac{416223\,x}{78125}+\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{138741\,x^2}{31250}-\frac{128753\,x^3}{9375}+\frac{31251\,x^4}{2500}+\frac{14958\,x^5}{625}-\frac{306\,x^6}{25}-\frac{648\,x^7}{35}","Not used",1,"(416223*x)/78125 + (1331*log(x + 3/5))/390625 - (138741*x^2)/31250 - (128753*x^3)/9375 + (31251*x^4)/2500 + (14958*x^5)/625 - (306*x^6)/25 - (648*x^7)/35","B"
1391,1,35,51,0.030782,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^3)/(5*x + 3),x)","\frac{41223\,x}{15625}+\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{78125}-\frac{26241\,x^2}{6250}-\frac{5003\,x^3}{1875}+\frac{2313\,x^4}{250}+\frac{108\,x^5}{125}-\frac{36\,x^6}{5}","Not used",1,"(41223*x)/15625 + (1331*log(x + 3/5))/78125 - (26241*x^2)/6250 - (5003*x^3)/1875 + (2313*x^4)/250 + (108*x^5)/125 - (36*x^6)/5","B"
1392,1,30,44,0.027129,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^2)/(5*x + 3),x)","\frac{3723\,x}{3125}+\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{15625}-\frac{3741\,x^2}{1250}+\frac{622\,x^3}{375}+\frac{69\,x^4}{25}-\frac{72\,x^5}{25}","Not used",1,"(3723*x)/3125 + (1331*log(x + 3/5))/15625 - (3741*x^2)/1250 + (622*x^3)/375 + (69*x^4)/25 - (72*x^5)/25","B"
1393,1,25,37,0.024385,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2))/(5*x + 3),x)","\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{27\,x}{625}-\frac{183\,x^2}{125}+\frac{172\,x^3}{75}-\frac{6\,x^4}{5}","Not used",1,"(1331*log(x + 3/5))/3125 - (27*x)/625 - (183*x^2)/125 + (172*x^3)/75 - (6*x^4)/5","B"
1394,1,20,30,0.029956,"\text{Not used}","int(-(2*x - 1)^3/(5*x + 3),x)","\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{402\,x}{125}+\frac{42\,x^2}{25}-\frac{8\,x^3}{15}","Not used",1,"(1331*log(x + 3/5))/625 - (402*x)/125 + (42*x^2)/25 - (8*x^3)/15","B"
1395,1,21,33,0.034721,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)*(5*x + 3)),x)","\frac{332\,x}{225}-\frac{343\,\ln\left(x+\frac{2}{3}\right)}{27}+\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{4\,x^2}{15}","Not used",1,"(332*x)/225 - (343*log(x + 2/3))/27 + (1331*log(x + 3/5))/125 - (4*x^2)/15","B"
1396,1,25,37,1.109176,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^2*(5*x + 3)),x)","\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{25}-\frac{1421\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{8\,x}{45}+\frac{343}{81\,\left(x+\frac{2}{3}\right)}","Not used",1,"(1331*log(x + 3/5))/25 - (1421*log(x + 2/3))/27 - (8*x)/45 + 343/(81*(x + 2/3))","B"
1397,1,29,43,0.051587,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^3*(5*x + 3)),x)","\frac{1331\,\ln\left(x+\frac{3}{5}\right)}{5}-\frac{7189\,\ln\left(x+\frac{2}{3}\right)}{27}+\frac{\frac{1421\,x}{81}+\frac{2009}{162}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"(1331*log(x + 3/5))/5 - (7189*log(x + 2/3))/27 + ((1421*x)/81 + 2009/162)/((4*x)/3 + x^2 + 4/9)","B"
1398,1,35,50,1.123676,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^4*(5*x + 3)),x)","\frac{\frac{7189\,x^2}{81}+\frac{58933\,x}{486}+\frac{90874}{2187}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}-2662\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((58933*x)/486 + (7189*x^2)/81 + 90874/2187)/((4*x)/3 + 2*x^2 + x^3 + 8/27) - 2662*atanh(30*x + 19)","B"
1399,1,45,59,0.044074,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^5*(5*x + 3)),x)","\frac{\frac{1331\,x^3}{3}+\frac{438433\,x^2}{486}+\frac{1338287\,x}{2187}+\frac{3634885}{26244}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}-13310\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((1338287*x)/2187 + (438433*x^2)/486 + (1331*x^3)/3 + 3634885/26244)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81) - 13310*atanh(30*x + 19)","B"
1400,1,55,70,0.045619,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^6*(5*x + 3)),x)","\frac{\frac{6655\,x^4}{3}+\frac{11979\,x^3}{2}+\frac{13267942\,x^2}{2187}+\frac{71705791\,x}{26244}+\frac{90872173}{196830}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}-66550\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((71705791*x)/26244 + (13267942*x^2)/2187 + (11979*x^3)/2 + (6655*x^4)/3 + 90872173/196830)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243) - 66550*atanh(30*x + 19)","B"
1401,1,65,81,1.123366,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^7*(5*x + 3)),x)","\frac{\frac{33275\,x^5}{3}+\frac{672155\,x^4}{18}+\frac{4074191\,x^3}{81}+\frac{296415565\,x^2}{8748}+\frac{374500906\,x}{32805}+\frac{908721797}{590490}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}-332750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((374500906*x)/32805 + (296415565*x^2)/8748 + (4074191*x^3)/81 + (672155*x^4)/18 + (33275*x^5)/3 + 908721797/590490)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729) - 332750*atanh(30*x + 19)","B"
1402,1,75,92,1.135910,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^8*(5*x + 3)),x)","\frac{\frac{166375\,x^6}{3}+\frac{4026275\,x^5}{18}+\frac{30453280\,x^4}{81}+\frac{327642953\,x^3}{972}+\frac{11155398233\,x^2}{65610}+\frac{27013663171\,x}{590490}+\frac{4543609018}{885735}}{x^7+\frac{14\,x^6}{3}+\frac{28\,x^5}{3}+\frac{280\,x^4}{27}+\frac{560\,x^3}{81}+\frac{224\,x^2}{81}+\frac{448\,x}{729}+\frac{128}{2187}}-1663750\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((27013663171*x)/590490 + (11155398233*x^2)/65610 + (327642953*x^3)/972 + (30453280*x^4)/81 + (4026275*x^5)/18 + (166375*x^6)/3 + 4543609018/885735)/((448*x)/729 + (224*x^2)/81 + (560*x^3)/81 + (280*x^4)/27 + (28*x^5)/3 + (14*x^6)/3 + x^7 + 128/2187) - 1663750*atanh(30*x + 19)","B"
1403,1,54,76,0.050429,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^6)/(5*x + 3)^2,x)","\frac{13880997\,x}{1953125}+\frac{23232\,\ln\left(x+\frac{3}{5}\right)}{9765625}-\frac{1331}{48828125\,\left(x+\frac{3}{5}\right)}-\frac{461623\,x^2}{390625}-\frac{1836723\,x^3}{78125}-\frac{5643\,x^4}{3125}+\frac{774981\,x^5}{15625}+\frac{12231\,x^6}{625}-\frac{37908\,x^7}{875}-\frac{729\,x^8}{25}","Not used",1,"(13880997*x)/1953125 + (23232*log(x + 3/5))/9765625 - 1331/(48828125*(x + 3/5)) - (461623*x^2)/390625 - (1836723*x^3)/78125 - (5643*x^4)/3125 + (774981*x^5)/15625 + (12231*x^6)/625 - (37908*x^7)/875 - (729*x^8)/25","B"
1404,1,49,69,0.039965,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^5)/(5*x + 3)^2,x)","\frac{1382328\,x}{390625}+\frac{19239\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{1331}{9765625\,\left(x+\frac{3}{5}\right)}-\frac{507023\,x^2}{156250}-\frac{26594\,x^3}{3125}+\frac{108387\,x^4}{12500}+\frac{44982\,x^5}{3125}-\frac{1026\,x^6}{125}-\frac{1944\,x^7}{175}","Not used",1,"(1382328*x)/390625 + (19239*log(x + 3/5))/1953125 - 1331/(9765625*(x + 3/5)) - (507023*x^2)/156250 - (26594*x^3)/3125 + (108387*x^4)/12500 + (44982*x^5)/3125 - (1026*x^6)/125 - (1944*x^7)/175","B"
1405,1,44,62,0.035723,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^4)/(5*x + 3)^2,x)","\frac{133659\,x}{78125}+\frac{15246\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{1331}{1953125\,\left(x+\frac{3}{5}\right)}-\frac{1816\,x^2}{625}-\frac{4217\,x^3}{3125}+\frac{7317\,x^4}{1250}+\frac{108\,x^5}{625}-\frac{108\,x^6}{25}","Not used",1,"(133659*x)/78125 + (15246*log(x + 3/5))/390625 - 1331/(1953125*(x + 3/5)) - (1816*x^2)/625 - (4217*x^3)/3125 + (7317*x^4)/1250 + (108*x^5)/625 - (108*x^6)/25","B"
1406,1,39,55,0.029778,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^3)/(5*x + 3)^2,x)","\frac{1998\,x}{3125}+\frac{11253\,\ln\left(x+\frac{3}{5}\right)}{78125}-\frac{1331}{390625\,\left(x+\frac{3}{5}\right)}-\frac{12077\,x^2}{6250}+\frac{786\,x^3}{625}+\frac{189\,x^4}{125}-\frac{216\,x^5}{125}","Not used",1,"(1998*x)/3125 + (11253*log(x + 3/5))/78125 - 1331/(390625*(x + 3/5)) - (12077*x^2)/6250 + (786*x^3)/625 + (189*x^4)/125 - (216*x^5)/125","B"
1407,1,34,48,0.027535,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^2)/(5*x + 3)^2,x)","\frac{1452\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{1179\,x}{3125}-\frac{1331}{78125\,\left(x+\frac{3}{5}\right)}-\frac{427\,x^2}{625}+\frac{164\,x^3}{125}-\frac{18\,x^4}{25}","Not used",1,"(1452*log(x + 3/5))/3125 - (1179*x)/3125 - 1331/(78125*(x + 3/5)) - (427*x^2)/625 + (164*x^3)/125 - (18*x^4)/25","B"
1408,1,29,41,0.026310,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2))/(5*x + 3)^2,x)","\frac{3267\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{1098\,x}{625}-\frac{1331}{15625\,\left(x+\frac{3}{5}\right)}+\frac{122\,x^2}{125}-\frac{8\,x^3}{25}","Not used",1,"(3267*log(x + 3/5))/3125 - (1098*x)/625 - 1331/(15625*(x + 3/5)) + (122*x^2)/125 - (8*x^3)/25","B"
1409,1,24,34,0.032091,"\text{Not used}","int(-(2*x - 1)^3/(5*x + 3)^2,x)","\frac{108\,x}{125}-\frac{726\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{1331}{3125\,\left(x+\frac{3}{5}\right)}-\frac{4\,x^2}{25}","Not used",1,"(108*x)/125 - (726*log(x + 3/5))/625 - 1331/(3125*(x + 3/5)) - (4*x^2)/25","B"
1410,1,25,37,0.039269,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)*(5*x + 3)^2),x)","\frac{343\,\ln\left(x+\frac{2}{3}\right)}{9}-\frac{8\,x}{75}-\frac{4719\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{1331}{625\,\left(x+\frac{3}{5}\right)}","Not used",1,"(343*log(x + 2/3))/9 - (8*x)/75 - (4719*log(x + 3/5))/125 - 1331/(625*(x + 3/5))","B"
1411,1,30,43,0.052198,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^2*(5*x + 3)^2),x)","\frac{3136\,\ln\left(x+\frac{2}{3}\right)}{9}-\frac{8712\,\ln\left(x+\frac{3}{5}\right)}{25}-\frac{\frac{78812\,x}{3375}+\frac{16561}{1125}}{x^2+\frac{19\,x}{15}+\frac{2}{5}}","Not used",1,"(3136*log(x + 2/3))/9 - (8712*log(x + 3/5))/25 - ((78812*x)/3375 + 16561/1125)/((19*x)/15 + x^2 + 2/5)","B"
1412,1,36,50,0.042574,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^3*(5*x + 3)^2),x)","5082\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{114337\,x^2}{675}+\frac{891911\,x}{4050}+\frac{96379}{1350}}{x^3+\frac{29\,x^2}{15}+\frac{56\,x}{45}+\frac{4}{15}}","Not used",1,"5082*atanh(30*x + 19) - ((891911*x)/4050 + (114337*x^2)/675 + 96379/1350)/((56*x)/45 + (29*x^2)/15 + x^3 + 4/15)","B"
1413,1,46,57,1.791425,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^4*(5*x + 3)^2),x)","33396\,\mathrm{atanh}\left(30\,x+19\right)-\frac{\frac{5566\,x^3}{5}+\frac{886663\,x^2}{405}+\frac{1045363\,x}{729}+\frac{380011}{1215}}{x^4+\frac{13\,x^3}{5}+\frac{38\,x^2}{15}+\frac{148\,x}{135}+\frac{8}{45}}","Not used",1,"33396*atanh(30*x + 19) - ((1045363*x)/729 + (886663*x^2)/405 + (5566*x^3)/5 + 380011/1215)/((148*x)/135 + (38*x^2)/15 + (13*x^3)/5 + x^4 + 8/45)","B"
1414,1,56,68,1.199226,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^5*(5*x + 3)^2),x)","206910\,\mathrm{atanh}\left(30\,x+19\right)-\frac{6897\,x^4+\frac{181621\,x^3}{10}+\frac{130688491\,x^2}{7290}+\frac{343827337\,x}{43740}+\frac{3767065}{2916}}{x^5+\frac{49\,x^4}{15}+\frac{64\,x^3}{15}+\frac{376\,x^2}{135}+\frac{368\,x}{405}+\frac{16}{135}}","Not used",1,"206910*atanh(30*x + 19) - ((343827337*x)/43740 + (130688491*x^2)/7290 + (181621*x^3)/10 + 6897*x^4 + 3767065/2916)/((368*x)/405 + (376*x^2)/135 + (64*x^3)/15 + (49*x^4)/15 + x^5 + 16/135)","B"
1415,1,66,75,0.046073,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^6*(5*x + 3)^2),x)","1234200\,\mathrm{atanh}\left(30\,x+19\right)-\frac{41140\,x^5+135762\,x^4+\frac{24186206\,x^3}{135}+\frac{430756781\,x^2}{3645}+\frac{85215991\,x}{2187}+\frac{93625883}{18225}}{x^6+\frac{59\,x^5}{15}+\frac{58\,x^4}{9}+\frac{152\,x^3}{27}+\frac{224\,x^2}{81}+\frac{176\,x}{243}+\frac{32}{405}}","Not used",1,"1234200*atanh(30*x + 19) - ((85215991*x)/2187 + (430756781*x^2)/3645 + (24186206*x^3)/135 + 135762*x^4 + 41140*x^5 + 93625883/18225)/((176*x)/243 + (224*x^2)/81 + (152*x^3)/27 + (58*x^4)/9 + (59*x^5)/15 + x^6 + 32/405)","B"
1416,1,76,88,1.154636,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^7*(5*x + 3)^2),x)","7169250\,\mathrm{atanh}\left(30\,x+19\right)-\frac{238975\,x^6+\frac{5687605\,x^5}{6}+\frac{84587591\,x^4}{54}+\frac{248447969\,x^3}{180}+\frac{29917614049\,x^2}{43740}+\frac{177869632819\,x}{984150}+\frac{6526274777}{328050}}{x^7+\frac{23\,x^6}{5}+\frac{136\,x^5}{15}+\frac{268\,x^4}{27}+\frac{176\,x^3}{27}+\frac{208\,x^2}{81}+\frac{2048\,x}{3645}+\frac{64}{1215}}","Not used",1,"7169250*atanh(30*x + 19) - ((177869632819*x)/984150 + (29917614049*x^2)/43740 + (248447969*x^3)/180 + (84587591*x^4)/54 + (5687605*x^5)/6 + 238975*x^6 + 6526274777/328050)/((2048*x)/3645 + (208*x^2)/81 + (176*x^3)/27 + (268*x^4)/27 + (136*x^5)/15 + (23*x^6)/5 + x^7 + 64/1215)","B"
1417,1,86,97,1.162922,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^8*(5*x + 3)^2),x)","40837500\,\mathrm{atanh}\left(30\,x+19\right)-\frac{1361250\,x^7+6307125\,x^6+\frac{37567475\,x^5}{3}+\frac{248593895\,x^4}{18}+\frac{274129493\,x^3}{30}+\frac{1784716642958\,x^2}{492075}+\frac{1180468875937\,x}{1476225}+\frac{37174982903}{492075}}{x^8+\frac{79\,x^7}{15}+\frac{182\,x^6}{15}+\frac{2156\,x^5}{135}+\frac{1064\,x^4}{81}+\frac{560\,x^3}{81}+\frac{8288\,x^2}{3645}+\frac{4672\,x}{10935}+\frac{128}{3645}}","Not used",1,"40837500*atanh(30*x + 19) - ((1180468875937*x)/1476225 + (1784716642958*x^2)/492075 + (274129493*x^3)/30 + (248593895*x^4)/18 + (37567475*x^5)/3 + 6307125*x^6 + 1361250*x^7 + 37174982903/492075)/((4672*x)/10935 + (8288*x^2)/3645 + (560*x^3)/81 + (1064*x^4)/81 + (2156*x^5)/135 + (182*x^6)/15 + (79*x^7)/15 + x^8 + 128/3645)","B"
1418,1,62,87,1.158806,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^7)/(5*x + 3)^3,x)","\frac{46214407\,x}{9765625}+\frac{47289\,\ln\left(x+\frac{3}{5}\right)}{9765625}-\frac{\frac{1089\,x}{9765625}+\frac{164681}{2441406250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{2300646\,x^2}{1953125}-\frac{5918904\,x^3}{390625}+\frac{6507\,x^4}{62500}+\frac{491913\,x^5}{15625}+\frac{33291\,x^6}{3125}-\frac{119556\,x^7}{4375}-\frac{2187\,x^8}{125}","Not used",1,"(46214407*x)/9765625 + (47289*log(x + 3/5))/9765625 - ((1089*x)/9765625 + 164681/2441406250)/((6*x)/5 + x^2 + 9/25) - (2300646*x^2)/1953125 - (5918904*x^3)/390625 + (6507*x^4)/62500 + (491913*x^5)/15625 + (33291*x^6)/3125 - (119556*x^7)/4375 - (2187*x^8)/125","B"
1419,1,57,80,0.043907,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^6)/(5*x + 3)^3,x)","\frac{4571416\,x}{1953125}+\frac{166749\,\ln\left(x+\frac{3}{5}\right)}{9765625}-\frac{\frac{23232\,x}{48828125}+\frac{140723}{488281250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{915777\,x^2}{390625}-\frac{81747\,x^3}{15625}+\frac{74223\,x^4}{12500}+\frac{134622\,x^5}{15625}-\frac{3402\,x^6}{625}-\frac{5832\,x^7}{875}","Not used",1,"(4571416*x)/1953125 + (166749*log(x + 3/5))/9765625 - ((23232*x)/48828125 + 140723/488281250)/((6*x)/5 + x^2 + 9/25) - (915777*x^2)/390625 - (81747*x^3)/15625 + (74223*x^4)/12500 + (134622*x^5)/15625 - (3402*x^6)/625 - (5832*x^7)/875","B"
1420,1,52,73,0.037607,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^5)/(5*x + 3)^3,x)","\frac{424432\,x}{390625}+\frac{109032\,\ln\left(x+\frac{3}{5}\right)}{1953125}-\frac{\frac{19239\,x}{9765625}+\frac{23353}{19531250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{62097\,x^2}{31250}-\frac{393\,x^3}{625}+\frac{22977\,x^4}{6250}-\frac{324\,x^5}{3125}-\frac{324\,x^6}{125}","Not used",1,"(424432*x)/390625 + (109032*log(x + 3/5))/1953125 - ((19239*x)/9765625 + 23353/19531250)/((6*x)/5 + x^2 + 9/25) - (62097*x^2)/31250 - (393*x^3)/625 + (22977*x^4)/6250 - (324*x^5)/3125 - (324*x^6)/125","B"
1421,1,47,66,0.033984,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^4)/(5*x + 3)^3,x)","\frac{4691\,x}{15625}+\frac{63294\,\ln\left(x+\frac{3}{5}\right)}{390625}-\frac{\frac{15246\,x}{1953125}+\frac{92807}{19531250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{7617\,x^2}{6250}+\frac{2826\,x^3}{3125}+\frac{513\,x^4}{625}-\frac{648\,x^5}{625}","Not used",1,"(4691*x)/15625 + (63294*log(x + 3/5))/390625 - ((15246*x)/1953125 + 92807/19531250)/((6*x)/5 + x^2 + 9/25) - (7617*x^2)/6250 + (2826*x^3)/3125 + (513*x^4)/625 - (648*x^5)/625","B"
1422,1,42,59,0.030476,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^3)/(5*x + 3)^3,x)","\frac{5907\,\ln\left(x+\frac{3}{5}\right)}{15625}-\frac{1303\,x}{3125}-\frac{\frac{11253\,x}{390625}+\frac{68849}{3906250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{927\,x^2}{3125}+\frac{468\,x^3}{625}-\frac{54\,x^4}{125}","Not used",1,"(5907*log(x + 3/5))/15625 - (1303*x)/3125 - ((11253*x)/390625 + 68849/3906250)/((6*x)/5 + x^2 + 9/25) - (927*x^2)/3125 + (468*x^3)/625 - (54*x^4)/125","B"
1423,1,37,52,0.029593,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2)^2)/(5*x + 3)^3,x)","\frac{1551\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{2978\,x}{3125}-\frac{\frac{1452\,x}{15625}+\frac{44891}{781250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}+\frac{354\,x^2}{625}-\frac{24\,x^3}{125}","Not used",1,"(1551*log(x + 3/5))/3125 - (2978*x)/3125 - ((1452*x)/15625 + 44891/781250)/((6*x)/5 + x^2 + 9/25) + (354*x^2)/625 - (24*x^3)/125","B"
1424,1,32,45,0.034552,"\text{Not used}","int(-((2*x - 1)^3*(3*x + 2))/(5*x + 3)^3,x)","\frac{316\,x}{625}-\frac{2046\,\ln\left(x+\frac{3}{5}\right)}{3125}-\frac{\frac{3267\,x}{15625}+\frac{20933}{156250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{12\,x^2}{125}","Not used",1,"(316*x)/625 - (2046*log(x + 3/5))/3125 - ((3267*x)/15625 + 20933/156250)/((6*x)/5 + x^2 + 9/25) - (12*x^2)/125","B"
1425,1,26,38,1.123233,"\text{Not used}","int(-(2*x - 1)^3/(5*x + 3)^3,x)","\frac{132\,\ln\left(x+\frac{3}{5}\right)}{625}-\frac{8\,x}{125}+\frac{\frac{726\,x}{3125}+\frac{121}{1250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(132*log(x + 3/5))/625 - (8*x)/125 + ((726*x)/3125 + 121/1250)/((6*x)/5 + x^2 + 9/25)","B"
1426,1,29,43,0.051450,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)*(5*x + 3)^3),x)","\frac{14289\,\ln\left(x+\frac{3}{5}\right)}{125}-\frac{343\,\ln\left(x+\frac{2}{3}\right)}{3}+\frac{\frac{4719\,x}{625}+\frac{26983}{6250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(14289*log(x + 3/5))/125 - (343*log(x + 2/3))/3 + ((4719*x)/625 + 26983/6250)/((6*x)/5 + x^2 + 9/25)","B"
1427,1,35,50,0.042435,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^2*(5*x + 3)^3),x)","\frac{\frac{121283\,x^2}{1125}+\frac{498563\,x}{3750}+\frac{76666}{1875}}{x^3+\frac{28\,x^2}{15}+\frac{29\,x}{25}+\frac{6}{25}}-3234\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((498563*x)/3750 + (121283*x^2)/1125 + 76666/1875)/((29*x)/25 + (28*x^2)/15 + x^3 + 6/25) - 3234*atanh(30*x + 19)","B"
1428,1,45,57,1.129231,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^3*(5*x + 3)^3),x)","\frac{\frac{5236\,x^3}{5}+\frac{6715174\,x^2}{3375}+\frac{1415464\,x}{1125}+\frac{595801}{2250}}{x^4+\frac{38\,x^3}{15}+\frac{541\,x^2}{225}+\frac{76\,x}{75}+\frac{4}{25}}-31416\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((1415464*x)/1125 + (6715174*x^2)/3375 + (5236*x^3)/5 + 595801/2250)/((76*x)/75 + (541*x^2)/225 + (38*x^3)/15 + x^4 + 4/25) - 31416*atanh(30*x + 19)","B"
1429,1,55,68,1.120728,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^4*(5*x + 3)^3),x)","\frac{\frac{42878\,x^4}{5}+\frac{1650803\,x^3}{75}+\frac{128582548\,x^2}{6075}+\frac{36601517\,x}{4050}+\frac{975812}{675}}{x^5+\frac{16\,x^4}{5}+\frac{307\,x^3}{75}+\frac{1766\,x^2}{675}+\frac{188\,x}{225}+\frac{8}{75}}-257268\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((36601517*x)/4050 + (128582548*x^2)/6075 + (1650803*x^3)/75 + (42878*x^4)/5 + 975812/675)/((188*x)/225 + (1766*x^2)/675 + (307*x^3)/75 + (16*x^4)/5 + x^5 + 8/75) - 257268*atanh(30*x + 19)","B"
1430,1,65,75,0.048852,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^5*(5*x + 3)^3),x)","\frac{63569\,x^5+\frac{6166193\,x^4}{30}+\frac{179328149\,x^3}{675}+\frac{4169655991\,x^2}{24300}+\frac{224280077\,x}{4050}+\frac{11573561}{1620}}{x^6+\frac{58\,x^5}{15}+\frac{467\,x^4}{75}+\frac{3608\,x^3}{675}+\frac{5224\,x^2}{2025}+\frac{448\,x}{675}+\frac{16}{225}}-1907070\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((224280077*x)/4050 + (4169655991*x^2)/24300 + (179328149*x^3)/675 + (6166193*x^4)/30 + 63569*x^5 + 11573561/1620)/((448*x)/675 + (5224*x^2)/2025 + (3608*x^3)/675 + (467*x^4)/75 + (58*x^5)/15 + x^6 + 16/225) - 1907070*atanh(30*x + 19)","B"
1431,1,75,86,0.046079,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^6*(5*x + 3)^3),x)","\frac{441265\,x^6+\frac{3441867\,x^5}{2}+\frac{377369828\,x^4}{135}+\frac{19606374733\,x^3}{8100}+\frac{21477652514\,x^2}{18225}+\frac{7432441967\,x}{24300}+\frac{2008450423}{60750}}{x^7+\frac{68\,x^6}{15}+\frac{1981\,x^5}{225}+\frac{1282\,x^4}{135}+\frac{2488\,x^3}{405}+\frac{2896\,x^2}{1215}+\frac{208\,x}{405}+\frac{32}{675}}-13237950\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((7432441967*x)/24300 + (21477652514*x^2)/18225 + (19606374733*x^3)/8100 + (377369828*x^4)/135 + (3441867*x^5)/2 + 441265*x^6 + 2008450423/60750)/((208*x)/405 + (2896*x^2)/1215 + (2488*x^3)/405 + (1282*x^4)/135 + (1981*x^5)/225 + (68*x^6)/15 + x^7 + 32/675) - 13237950*atanh(30*x + 19)","B"
1432,1,85,97,1.128774,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^7*(5*x + 3)^3),x)","\frac{2923250\,x^7+\frac{40048525\,x^6}{3}+\frac{705204830\,x^5}{27}+\frac{170285159\,x^4}{6}+\frac{12485656777\,x^3}{675}+\frac{2372106406093\,x^2}{328050}+\frac{429157211632\,x}{273375}+\frac{2956753223}{20250}}{x^8+\frac{26\,x^7}{5}+\frac{887\,x^6}{75}+\frac{10372\,x^5}{675}+\frac{1684\,x^4}{135}+\frac{2624\,x^3}{405}+\frac{7664\,x^2}{3645}+\frac{2368\,x}{6075}+\frac{64}{2025}}-87697500\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((429157211632*x)/273375 + (2372106406093*x^2)/328050 + (12485656777*x^3)/675 + (170285159*x^4)/6 + (705204830*x^5)/27 + (40048525*x^6)/3 + 2923250*x^7 + 2956753223/20250)/((2368*x)/6075 + (7664*x^2)/3645 + (2624*x^3)/405 + (1684*x^4)/135 + (10372*x^5)/675 + (887*x^6)/75 + (26*x^7)/5 + x^8 + 64/2025) - 87697500*atanh(30*x + 19)","B"
1433,1,95,110,1.118433,"\text{Not used}","int(-(2*x - 1)^3/((3*x + 2)^8*(5*x + 3)^3),x)","\frac{18700000\,x^8+\frac{293590000\,x^7}{3}+\frac{6048328000\,x^6}{27}+\frac{23728093400\,x^5}{81}+\frac{6462761888\,x^4}{27}+\frac{152046000392\,x^3}{1215}+\frac{33526509614024\,x^2}{820125}+\frac{4171105622953\,x}{546750}+\frac{170228877938}{273375}}{x^9+\frac{88\,x^8}{15}+\frac{1147\,x^7}{75}+\frac{15694\,x^6}{675}+\frac{46004\,x^5}{2025}+\frac{5992\,x^4}{405}+\frac{23408\,x^3}{3645}+\frac{97952\,x^2}{54675}+\frac{5312\,x}{18225}+\frac{128}{6075}}-561000000\,\mathrm{atanh}\left(30\,x+19\right)","Not used",1,"((4171105622953*x)/546750 + (33526509614024*x^2)/820125 + (152046000392*x^3)/1215 + (6462761888*x^4)/27 + (23728093400*x^5)/81 + (6048328000*x^6)/27 + (293590000*x^7)/3 + 18700000*x^8 + 170228877938/273375)/((5312*x)/18225 + (97952*x^2)/54675 + (23408*x^3)/3645 + (5992*x^4)/405 + (46004*x^5)/2025 + (15694*x^6)/675 + (1147*x^7)/75 + (88*x^8)/15 + x^9 + 128/6075) - 561000000*atanh(30*x + 19)","B"
1434,1,50,72,0.051783,"\text{Not used}","int(-((3*x + 2)^8*(5*x + 3))/(2*x - 1),x)","-\frac{63019595\,x}{512}-\frac{63412811\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{60332619\,x^2}{512}-\frac{17391129\,x^3}{128}-\frac{37722699\,x^4}{256}-\frac{21272139\,x^5}{160}-\frac{2929689\,x^6}{32}-\frac{353565\,x^7}{8}-\frac{422091\,x^8}{32}-\frac{3645\,x^9}{2}","Not used",1,"- (63019595*x)/512 - (63412811*log(x - 1/2))/1024 - (60332619*x^2)/512 - (17391129*x^3)/128 - (37722699*x^4)/256 - (21272139*x^5)/160 - (2929689*x^6)/32 - (353565*x^7)/8 - (422091*x^8)/32 - (3645*x^9)/2","B"
1435,1,45,65,0.040911,"\text{Not used}","int(-((3*x + 2)^7*(5*x + 3))/(2*x - 1),x)","-\frac{8960669\,x}{256}-\frac{9058973\,\ln\left(x-\frac{1}{2}\right)}{512}-\frac{8362653\,x^2}{256}-\frac{2257119\,x^3}{64}-\frac{4352157\,x^4}{128}-\frac{2053917\,x^5}{80}-\frac{218943\,x^6}{16}-\frac{126117\,x^7}{28}-\frac{10935\,x^8}{16}","Not used",1,"- (8960669*x)/256 - (9058973*log(x - 1/2))/512 - (8362653*x^2)/256 - (2257119*x^3)/64 - (4352157*x^4)/128 - (2053917*x^5)/80 - (218943*x^6)/16 - (126117*x^7)/28 - (10935*x^8)/16","B"
1436,1,40,58,0.034738,"\text{Not used}","int(-((3*x + 2)^6*(5*x + 3))/(2*x - 1),x)","-\frac{1269563\,x}{128}-\frac{1294139\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{1138491\,x^2}{128}-\frac{279657\,x^3}{32}-\frac{458811\,x^4}{64}-\frac{169371\,x^5}{40}-\frac{12393\,x^6}{8}-\frac{3645\,x^7}{14}","Not used",1,"- (1269563*x)/128 - (1294139*log(x - 1/2))/256 - (1138491*x^2)/128 - (279657*x^3)/32 - (458811*x^4)/64 - (169371*x^5)/40 - (12393*x^6)/8 - (3645*x^7)/14","B"
1437,1,35,51,0.033328,"\text{Not used}","int(-((3*x + 2)^5*(5*x + 3))/(2*x - 1),x)","-\frac{178733\,x}{64}-\frac{184877\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{150573\,x^2}{64}-\frac{32271\,x^3}{16}-\frac{42093\,x^4}{32}-\frac{10773\,x^5}{20}-\frac{405\,x^6}{4}","Not used",1,"- (178733*x)/64 - (184877*log(x - 1/2))/128 - (150573*x^2)/64 - (32271*x^3)/16 - (42093*x^4)/32 - (10773*x^5)/20 - (405*x^6)/4","B"
1438,1,30,44,0.029509,"\text{Not used}","int(-((3*x + 2)^4*(5*x + 3))/(2*x - 1),x)","-\frac{24875\,x}{32}-\frac{26411\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{18987\,x^2}{32}-\frac{3321\,x^3}{8}-\frac{3051\,x^4}{16}-\frac{81\,x^5}{2}","Not used",1,"- (24875*x)/32 - (26411*log(x - 1/2))/64 - (18987*x^2)/32 - (3321*x^3)/8 - (3051*x^4)/16 - (81*x^5)/2","B"
1439,1,25,37,0.027473,"\text{Not used}","int(-((3*x + 2)^3*(5*x + 3))/(2*x - 1),x)","-\frac{3389\,x}{16}-\frac{3773\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{2205\,x^2}{16}-\frac{279\,x^3}{4}-\frac{135\,x^4}{8}","Not used",1,"- (3389*x)/16 - (3773*log(x - 1/2))/32 - (2205*x^2)/16 - (279*x^3)/4 - (135*x^4)/8","B"
1440,1,20,30,0.032327,"\text{Not used}","int(-((3*x + 2)^2*(5*x + 3))/(2*x - 1),x)","-\frac{443\,x}{8}-\frac{539\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{219\,x^2}{8}-\frac{15\,x^3}{2}","Not used",1,"- (443*x)/8 - (539*log(x - 1/2))/16 - (219*x^2)/8 - (15*x^3)/2","B"
1441,1,15,23,0.028456,"\text{Not used}","int(-((3*x + 2)*(5*x + 3))/(2*x - 1),x)","-\frac{53\,x}{4}-\frac{77\,\ln\left(x-\frac{1}{2}\right)}{8}-\frac{15\,x^2}{4}","Not used",1,"- (53*x)/4 - (77*log(x - 1/2))/8 - (15*x^2)/4","B"
1442,1,10,16,0.026530,"\text{Not used}","int(-(5*x + 3)/(2*x - 1),x)","-\frac{5\,x}{2}-\frac{11\,\ln\left(x-\frac{1}{2}\right)}{4}","Not used",1,"- (5*x)/2 - (11*log(x - 1/2))/4","B"
1443,1,13,21,0.070845,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)),x)","-\frac{11\,\ln\left(x-\frac{1}{2}\right)}{14}-\frac{\ln\left(x+\frac{2}{3}\right)}{21}","Not used",1,"- (11*log(x - 1/2))/14 - log(x + 2/3)/21","B"
1444,1,16,32,0.038512,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^2),x)","\frac{22\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{49}+\frac{1}{63\,\left(x+\frac{2}{3}\right)}","Not used",1,"(22*atanh((12*x)/7 + 1/7))/49 + 1/(63*(x + 2/3))","B"
1445,1,26,43,0.042667,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^3),x)","\frac{44\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{343}-\frac{\frac{11\,x}{147}+\frac{125}{2646}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"(44*atanh((12*x)/7 + 1/7))/343 - ((11*x)/147 + 125/2646)/((4*x)/3 + x^2 + 4/9)","B"
1446,1,36,54,0.041927,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^4),x)","\frac{88\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}-\frac{\frac{22\,x^2}{1029}+\frac{253\,x}{6174}+\frac{1436}{83349}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(88*atanh((12*x)/7 + 1/7))/2401 - ((253*x)/6174 + (22*x^2)/1029 + 1436/83349)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1447,1,46,65,0.047657,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^5),x)","\frac{176\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}-\frac{\frac{44\,x^3}{7203}+\frac{341\,x^2}{21609}+\frac{3047\,x}{194481}+\frac{1321}{259308}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(176*atanh((12*x)/7 + 1/7))/16807 - ((3047*x)/194481 + (341*x^2)/21609 + (44*x^3)/7203 + 1321/259308)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1448,1,56,76,1.122380,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^6),x)","\frac{352\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}-\frac{\frac{88\,x^4}{50421}+\frac{286\,x^3}{50421}+\frac{10186\,x^2}{1361367}+\frac{84535\,x}{16336404}+\frac{174113}{122523030}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"(352*atanh((12*x)/7 + 1/7))/117649 - ((84535*x)/16336404 + (10186*x^2)/1361367 + (286*x^3)/50421 + (88*x^4)/50421 + 174113/122523030)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1449,1,66,87,1.124776,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^7),x)","\frac{704\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{176\,x^5}{352947}+\frac{2068\,x^4}{1058841}+\frac{30668\,x^3}{9529569}+\frac{6149\,x^2}{2117682}+\frac{75647\,x}{47647845}+\frac{3013741}{7718950890}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}","Not used",1,"(704*atanh((12*x)/7 + 1/7))/823543 - ((75647*x)/47647845 + (6149*x^2)/2117682 + (30668*x^3)/9529569 + (2068*x^4)/1058841 + (176*x^5)/352947 + 3013741/7718950890)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729)","B"
1450,1,76,98,0.048459,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)*(3*x + 2)^8),x)","\frac{1408\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{5764801}-\frac{\frac{352\,x^6}{2470629}+\frac{4840\,x^5}{7411887}+\frac{86152\,x^4}{66706983}+\frac{288695\,x^3}{200120949}+\frac{335764\,x^2}{333534915}+\frac{2812051\,x}{6003628470}+\frac{2905534}{27016328115}}{x^7+\frac{14\,x^6}{3}+\frac{28\,x^5}{3}+\frac{280\,x^4}{27}+\frac{560\,x^3}{81}+\frac{224\,x^2}{81}+\frac{448\,x}{729}+\frac{128}{2187}}","Not used",1,"(1408*atanh((12*x)/7 + 1/7))/5764801 - ((2812051*x)/6003628470 + (335764*x^2)/333534915 + (288695*x^3)/200120949 + (86152*x^4)/66706983 + (4840*x^5)/7411887 + (352*x^6)/2470629 + 2905534/27016328115)/((448*x)/729 + (224*x^2)/81 + (560*x^3)/81 + (280*x^4)/27 + (28*x^5)/3 + (14*x^6)/3 + x^7 + 128/2187)","B"
1451,1,55,79,0.059134,"\text{Not used}","int(-((3*x + 2)^8*(5*x + 3)^2)/(2*x - 1),x)","-\frac{695181625\,x}{1024}-\frac{697540921\,\ln\left(x-\frac{1}{2}\right)}{2048}-\frac{677093689\,x^2}{1024}-\frac{204901139\,x^3}{256}-\frac{487203129\,x^4}{512}-\frac{316246329\,x^5}{320}-\frac{53031699\,x^6}{64}-\frac{8399295\,x^7}{16}-\frac{14907321\,x^8}{64}-\frac{256365\,x^9}{4}-\frac{32805\,x^{10}}{4}","Not used",1,"- (695181625*x)/1024 - (697540921*log(x - 1/2))/2048 - (677093689*x^2)/1024 - (204901139*x^3)/256 - (487203129*x^4)/512 - (316246329*x^5)/320 - (53031699*x^6)/64 - (8399295*x^7)/16 - (14907321*x^8)/64 - (256365*x^9)/4 - (32805*x^10)/4","B"
1452,1,50,72,0.049474,"\text{Not used}","int(-((3*x + 2)^7*(5*x + 3)^2)/(2*x - 1),x)","-\frac{99058879\,x}{512}-\frac{99648703\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{94979263\,x^2}{512}-\frac{27480469\,x^3}{128}-\frac{59969727\,x^4}{256}-\frac{34084287\,x^5}{160}-\frac{4736853\,x^6}{32}-\frac{4040847\,x^7}{56}-\frac{696195\,x^8}{32}-\frac{6075\,x^9}{2}","Not used",1,"- (99058879*x)/512 - (99648703*log(x - 1/2))/1024 - (94979263*x^2)/512 - (27480469*x^3)/128 - (59969727*x^4)/256 - (34084287*x^5)/160 - (4736853*x^6)/32 - (4040847*x^7)/56 - (696195*x^8)/32 - (6075*x^9)/2","B"
1453,1,45,65,0.040108,"\text{Not used}","int(-((3*x + 2)^6*(5*x + 3)^2)/(2*x - 1),x)","-\frac{14088073\,x}{256}-\frac{14235529\,\ln\left(x-\frac{1}{2}\right)}{512}-\frac{13178761\,x^2}{256}-\frac{3575427\,x^3}{64}-\frac{6947721\,x^4}{128}-\frac{3310281\,x^5}{80}-\frac{356643\,x^6}{16}-\frac{207765\,x^7}{28}-\frac{18225\,x^8}{16}","Not used",1,"- (14088073*x)/256 - (14235529*log(x - 1/2))/512 - (13178761*x^2)/256 - (3575427*x^3)/64 - (6947721*x^4)/128 - (3310281*x^5)/80 - (356643*x^6)/16 - (207765*x^7)/28 - (18225*x^8)/16","B"
1454,1,40,58,0.033585,"\text{Not used}","int(-((3*x + 2)^5*(5*x + 3)^2)/(2*x - 1),x)","-\frac{1996783\,x}{128}-\frac{2033647\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{1797103\,x^2}{128}-\frac{444581\,x^3}{32}-\frac{736623\,x^4}{64}-\frac{275103\,x^5}{40}-\frac{20385\,x^6}{8}-\frac{6075\,x^7}{14}","Not used",1,"- (1996783*x)/128 - (2033647*log(x - 1/2))/256 - (1797103*x^2)/128 - (444581*x^3)/32 - (736623*x^4)/64 - (275103*x^5)/40 - (20385*x^6)/8 - (6075*x^7)/14","B"
1455,1,35,51,0.029714,"\text{Not used}","int(-((3*x + 2)^4*(5*x + 3)^2)/(2*x - 1),x)","-\frac{281305\,x}{64}-\frac{290521\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{238297\,x^2}{64}-\frac{51571\,x^3}{16}-\frac{68121\,x^4}{32}-\frac{3537\,x^5}{4}-\frac{675\,x^6}{4}","Not used",1,"- (281305*x)/64 - (290521*log(x - 1/2))/128 - (238297*x^2)/64 - (51571*x^3)/16 - (68121*x^4)/32 - (3537*x^5)/4 - (675*x^6)/4","B"
1456,1,30,44,0.026791,"\text{Not used}","int(-((3*x + 2)^3*(5*x + 3)^2)/(2*x - 1),x)","-\frac{39199\,x}{32}-\frac{41503\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{30175\,x^2}{32}-\frac{5349\,x^3}{8}-\frac{4995\,x^4}{16}-\frac{135\,x^5}{2}","Not used",1,"- (39199*x)/32 - (41503*log(x - 1/2))/64 - (30175*x^2)/32 - (5349*x^3)/8 - (4995*x^4)/16 - (135*x^5)/2","B"
1457,1,25,37,0.024828,"\text{Not used}","int(-((3*x + 2)^2*(5*x + 3)^2)/(2*x - 1),x)","-\frac{5353\,x}{16}-\frac{5929\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{3529\,x^2}{16}-\frac{455\,x^3}{4}-\frac{225\,x^4}{8}","Not used",1,"- (5353*x)/16 - (5929*log(x - 1/2))/32 - (3529*x^2)/16 - (455*x^3)/4 - (225*x^4)/8","B"
1458,1,20,30,0.033051,"\text{Not used}","int(-((3*x + 2)*(5*x + 3)^2)/(2*x - 1),x)","-\frac{703\,x}{8}-\frac{847\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{355\,x^2}{8}-\frac{25\,x^3}{2}","Not used",1,"- (703*x)/8 - (847*log(x - 1/2))/16 - (355*x^2)/8 - (25*x^3)/2","B"
1459,1,15,23,0.024600,"\text{Not used}","int(-(5*x + 3)^2/(2*x - 1),x)","-\frac{85\,x}{4}-\frac{121\,\ln\left(x-\frac{1}{2}\right)}{8}-\frac{25\,x^2}{4}","Not used",1,"- (85*x)/4 - (121*log(x - 1/2))/8 - (25*x^2)/4","B"
1460,1,16,26,1.124662,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)),x)","\frac{\ln\left(x+\frac{2}{3}\right)}{63}-\frac{121\,\ln\left(x-\frac{1}{2}\right)}{28}-\frac{25\,x}{6}","Not used",1,"log(x + 2/3)/63 - (121*log(x - 1/2))/28 - (25*x)/6","B"
1461,1,22,32,0.049578,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^2),x)","-\frac{121\,\ln\left(x-\frac{1}{2}\right)}{98}-\frac{68\,\ln\left(x+\frac{2}{3}\right)}{441}-\frac{1}{189\,\left(x+\frac{2}{3}\right)}","Not used",1,"- (121*log(x - 1/2))/98 - (68*log(x + 2/3))/441 - 1/(189*(x + 2/3))","B"
1462,1,25,43,0.043382,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^3),x)","\frac{242\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{343}+\frac{\frac{68\,x}{1323}+\frac{265}{7938}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"(242*atanh((12*x)/7 + 1/7))/343 + ((68*x)/1323 + 265/7938)/((4*x)/3 + x^2 + 4/9)","B"
1463,1,36,54,0.045662,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^4),x)","\frac{484\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}-\frac{\frac{121\,x^2}{1029}+\frac{4118\,x}{27783}+\frac{11689}{250047}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(484*atanh((12*x)/7 + 1/7))/2401 - ((4118*x)/27783 + (121*x^2)/1029 + 11689/250047)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1464,1,46,65,1.131415,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^5),x)","\frac{968\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}-\frac{\frac{242\,x^3}{7203}+\frac{3751\,x^2}{43218}+\frac{120814\,x}{1750329}+\frac{366413}{21003948}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(968*atanh((12*x)/7 + 1/7))/16807 - ((120814*x)/1750329 + (3751*x^2)/43218 + (242*x^3)/7203 + 366413/21003948)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1465,1,56,76,1.136760,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^6),x)","\frac{1936\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}-\frac{\frac{484\,x^4}{50421}+\frac{1573\,x^3}{50421}+\frac{56023\,x^2}{1361367}+\frac{296185\,x}{12252303}+\frac{953231}{183784545}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"(1936*atanh((12*x)/7 + 1/7))/117649 - ((296185*x)/12252303 + (56023*x^2)/1361367 + (1573*x^3)/50421 + (484*x^4)/50421 + 953231/183784545)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1466,1,66,87,1.140927,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^7),x)","\frac{3872\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{968\,x^5}{352947}+\frac{11374\,x^4}{1058841}+\frac{168674\,x^3}{9529569}+\frac{67639\,x^2}{4235364}+\frac{9762967\,x}{1286491815}+\frac{33549989}{23156852670}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}","Not used",1,"(3872*atanh((12*x)/7 + 1/7))/823543 - ((9762967*x)/1286491815 + (67639*x^2)/4235364 + (168674*x^3)/9529569 + (11374*x^4)/1058841 + (968*x^5)/352947 + 33549989/23156852670)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729)","B"
1467,1,76,98,0.048271,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)*(3*x + 2)^8),x)","\frac{7744\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{5764801}-\frac{\frac{1936\,x^6}{2470629}+\frac{26620\,x^5}{7411887}+\frac{473836\,x^4}{66706983}+\frac{3175645\,x^3}{400241898}+\frac{1846702\,x^2}{333534915}+\frac{183059068\,x}{81048984345}+\frac{96764333}{243146953035}}{x^7+\frac{14\,x^6}{3}+\frac{28\,x^5}{3}+\frac{280\,x^4}{27}+\frac{560\,x^3}{81}+\frac{224\,x^2}{81}+\frac{448\,x}{729}+\frac{128}{2187}}","Not used",1,"(7744*atanh((12*x)/7 + 1/7))/5764801 - ((183059068*x)/81048984345 + (1846702*x^2)/333534915 + (3175645*x^3)/400241898 + (473836*x^4)/66706983 + (26620*x^5)/7411887 + (1936*x^6)/2470629 + 96764333/243146953035)/((448*x)/729 + (224*x^2)/81 + (560*x^3)/81 + (280*x^4)/27 + (28*x^5)/3 + (14*x^6)/3 + x^7 + 128/2187)","B"
1468,1,55,79,0.057647,"\text{Not used}","int(-((3*x + 2)^7*(5*x + 3)^3)/(2*x - 1),x)","-\frac{1092596789\,x}{1024}-\frac{1096135733\,\ln\left(x-\frac{1}{2}\right)}{2048}-\frac{1065169973\,x^2}{1024}-\frac{969544757\,x^3}{768}-\frac{772025397\,x^4}{512}-\frac{504354357\,x^5}{320}-\frac{85228263\,x^6}{64}-\frac{95297877\,x^7}{112}-\frac{24381405\,x^8}{64}-\frac{423225\,x^9}{4}-\frac{54675\,x^{10}}{4}","Not used",1,"- (1092596789*x)/1024 - (1096135733*log(x - 1/2))/2048 - (1065169973*x^2)/1024 - (969544757*x^3)/768 - (772025397*x^4)/512 - (504354357*x^5)/320 - (85228263*x^6)/64 - (95297877*x^7)/112 - (24381405*x^8)/64 - (423225*x^9)/4 - (54675*x^10)/4","B"
1469,1,50,72,0.048923,"\text{Not used}","int(-((3*x + 2)^6*(5*x + 3)^3)/(2*x - 1),x)","-\frac{155706083\,x}{512}-\frac{156590819\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{149512931\,x^2}{512}-\frac{130251491\,x^3}{384}-\frac{95317731\,x^4}{256}-\frac{54600291\,x^5}{160}-\frac{7656993\,x^6}{32}-\frac{6596235\,x^7}{56}-\frac{1148175\,x^8}{32}-\frac{10125\,x^9}{2}","Not used",1,"- (155706083*x)/512 - (156590819*log(x - 1/2))/1024 - (149512931*x^2)/512 - (130251491*x^3)/384 - (95317731*x^4)/256 - (54600291*x^5)/160 - (7656993*x^6)/32 - (6596235*x^7)/56 - (1148175*x^8)/32 - (10125*x^9)/2","B"
1470,1,45,65,0.039293,"\text{Not used}","int(-((3*x + 2)^5*(5*x + 3)^3)/(2*x - 1),x)","-\frac{22148933\,x}{256}-\frac{22370117\,\ln\left(x-\frac{1}{2}\right)}{512}-\frac{20766533\,x^2}{256}-\frac{16987973\,x^3}{192}-\frac{11088453\,x^4}{128}-\frac{5333733\,x^5}{80}-\frac{580815\,x^6}{16}-\frac{342225\,x^7}{28}-\frac{30375\,x^8}{16}","Not used",1,"- (22148933*x)/256 - (22370117*log(x - 1/2))/512 - (20766533*x^2)/256 - (16987973*x^3)/192 - (11088453*x^4)/128 - (5333733*x^5)/80 - (580815*x^6)/16 - (342225*x^7)/28 - (30375*x^8)/16","B"
1471,1,40,58,0.034151,"\text{Not used}","int(-((3*x + 2)^4*(5*x + 3)^3)/(2*x - 1),x)","-\frac{3140435\,x}{128}-\frac{3195731\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{2836307\,x^2}{128}-\frac{2119763\,x^3}{96}-\frac{1182291\,x^4}{64}-\frac{89343\,x^5}{8}-\frac{33525\,x^6}{8}-\frac{10125\,x^7}{14}","Not used",1,"- (3140435*x)/128 - (3195731*log(x - 1/2))/256 - (2836307*x^2)/128 - (2119763*x^3)/96 - (1182291*x^4)/64 - (89343*x^5)/8 - (33525*x^6)/8 - (10125*x^7)/14","B"
1472,1,35,51,0.031665,"\text{Not used}","int(-((3*x + 2)^3*(5*x + 3)^3)/(2*x - 1),x)","-\frac{442709\,x}{64}-\frac{456533\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{377045\,x^2}{64}-\frac{247157\,x^3}{48}-\frac{110205\,x^4}{32}-\frac{5805\,x^5}{4}-\frac{1125\,x^6}{4}","Not used",1,"- (442709*x)/64 - (456533*log(x - 1/2))/128 - (377045*x^2)/64 - (247157*x^3)/48 - (110205*x^4)/32 - (5805*x^5)/4 - (1125*x^6)/4","B"
1473,1,30,44,0.027679,"\text{Not used}","int(-((3*x + 2)^2*(5*x + 3)^3)/(2*x - 1),x)","-\frac{61763\,x}{32}-\frac{65219\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{47939\,x^2}{32}-\frac{25835\,x^3}{24}-\frac{8175\,x^4}{16}-\frac{225\,x^5}{2}","Not used",1,"- (61763*x)/32 - (65219*log(x - 1/2))/64 - (47939*x^2)/32 - (25835*x^3)/24 - (8175*x^4)/16 - (225*x^5)/2","B"
1474,1,25,37,0.025542,"\text{Not used}","int(-((3*x + 2)*(5*x + 3)^3)/(2*x - 1),x)","-\frac{8453\,x}{16}-\frac{9317\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{5645\,x^2}{16}-\frac{2225\,x^3}{12}-\frac{375\,x^4}{8}","Not used",1,"- (8453*x)/16 - (9317*log(x - 1/2))/32 - (5645*x^2)/16 - (2225*x^3)/12 - (375*x^4)/8","B"
1475,1,20,30,0.030357,"\text{Not used}","int(-(5*x + 3)^3/(2*x - 1),x)","-\frac{1115\,x}{8}-\frac{1331\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{575\,x^2}{8}-\frac{125\,x^3}{6}","Not used",1,"- (1115*x)/8 - (1331*log(x - 1/2))/16 - (575*x^2)/8 - (125*x^3)/6","B"
1476,1,21,33,1.148256,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)),x)","-\frac{1225\,x}{36}-\frac{1331\,\ln\left(x-\frac{1}{2}\right)}{56}-\frac{\ln\left(x+\frac{2}{3}\right)}{189}-\frac{125\,x^2}{12}","Not used",1,"- (1225*x)/36 - (1331*log(x - 1/2))/56 - log(x + 2/3)/189 - (125*x^2)/12","B"
1477,1,23,37,1.105059,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^2),x)","\frac{103\,\ln\left(x+\frac{2}{3}\right)}{1323}-\frac{1331\,\ln\left(x-\frac{1}{2}\right)}{196}-\frac{125\,x}{18}+\frac{1}{567\,\left(x+\frac{2}{3}\right)}","Not used",1,"(103*log(x + 2/3))/1323 - (1331*log(x - 1/2))/196 - (125*x)/18 + 1/(567*(x + 2/3))","B"
1478,1,30,43,1.128039,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^3),x)","-\frac{1331\,\ln\left(x-\frac{1}{2}\right)}{686}-\frac{3469\,\ln\left(x+\frac{2}{3}\right)}{9261}-\frac{\frac{103\,x}{3969}+\frac{5}{294}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"- (1331*log(x - 1/2))/686 - (3469*log(x + 2/3))/9261 - ((103*x)/3969 + 5/294)/((4*x)/3 + x^2 + 4/9)","B"
1479,1,35,54,1.116359,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^4),x)","\frac{2662\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}+\frac{\frac{3469\,x^2}{27783}+\frac{27031\,x}{166698}+\frac{39514}{750141}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(2662*atanh((12*x)/7 + 1/7))/2401 + ((27031*x)/166698 + (3469*x^2)/27783 + 39514/750141)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1480,1,46,65,0.045445,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^5),x)","\frac{5324\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}-\frac{\frac{1331\,x^3}{7203}+\frac{406961\,x^2}{1166886}+\frac{1153081\,x}{5250987}+\frac{2906507}{63011844}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(5324*atanh((12*x)/7 + 1/7))/16807 - ((1153081*x)/5250987 + (406961*x^2)/1166886 + (1331*x^3)/7203 + 2906507/63011844)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1481,1,56,76,0.044689,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^6),x)","\frac{10648\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}-\frac{\frac{2662\,x^4}{50421}+\frac{17303\,x^3}{100842}+\frac{7268978\,x^2}{36756909}+\frac{43098155\,x}{441082908}+\frac{58402889}{3308121810}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"(10648*atanh((12*x)/7 + 1/7))/117649 - ((43098155*x)/441082908 + (7268978*x^2)/36756909 + (17303*x^3)/100842 + (2662*x^4)/50421 + 58402889/3308121810)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1482,1,66,87,1.117140,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^7),x)","\frac{21296\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{5324\,x^5}{352947}+\frac{62557\,x^4}{1058841}+\frac{927707\,x^3}{9529569}+\frac{83046461\,x^2}{1029193452}+\frac{127264868\,x}{3859475445}+\frac{366807031}{69470558010}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}","Not used",1,"(21296*atanh((12*x)/7 + 1/7))/823543 - ((127264868*x)/3859475445 + (83046461*x^2)/1029193452 + (927707*x^3)/9529569 + (62557*x^4)/1058841 + (5324*x^5)/352947 + 366807031/69470558010)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729)","B"
1483,1,76,98,0.044957,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)*(3*x + 2)^8),x)","\frac{42592\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{5764801}-\frac{\frac{10648\,x^6}{2470629}+\frac{146410\,x^5}{7411887}+\frac{2606098\,x^4}{66706983}+\frac{34932095\,x^3}{800483796}+\frac{1542468607\,x^2}{54032656230}+\frac{4908577619\,x}{486293906070}+\frac{1077485282}{729440859105}}{x^7+\frac{14\,x^6}{3}+\frac{28\,x^5}{3}+\frac{280\,x^4}{27}+\frac{560\,x^3}{81}+\frac{224\,x^2}{81}+\frac{448\,x}{729}+\frac{128}{2187}}","Not used",1,"(42592*atanh((12*x)/7 + 1/7))/5764801 - ((4908577619*x)/486293906070 + (1542468607*x^2)/54032656230 + (34932095*x^3)/800483796 + (2606098*x^4)/66706983 + (146410*x^5)/7411887 + (10648*x^6)/2470629 + 1077485282/729440859105)/((448*x)/729 + (224*x^2)/81 + (560*x^3)/81 + (280*x^4)/27 + (28*x^5)/3 + (14*x^6)/3 + x^7 + 128/2187)","B"
1484,1,109,104,1.497847,"\text{Not used}","int((a + b*x)^3/((e + f*x)*(c + d*x)),x)","x\,\left(\frac{3\,a\,b^2}{d\,f}-\frac{b^3\,\left(c\,f+d\,e\right)}{d^2\,f^2}\right)+\frac{b^3\,x^2}{2\,d\,f}-\frac{\ln\left(c+d\,x\right)\,{\left(a\,d-b\,c\right)}^3}{d^3\,\left(c\,f-d\,e\right)}+\frac{\ln\left(e+f\,x\right)\,{\left(a\,f-b\,e\right)}^3}{f^3\,\left(c\,f-d\,e\right)}","Not used",1,"x*((3*a*b^2)/(d*f) - (b^3*(c*f + d*e))/(d^2*f^2)) + (b^3*x^2)/(2*d*f) - (log(c + d*x)*(a*d - b*c)^3)/(d^3*(c*f - d*e)) + (log(e + f*x)*(a*f - b*e)^3)/(f^3*(c*f - d*e))","B"
1485,1,46,68,0.057294,"\text{Not used}","int(-(3*x + 2)^8/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{4296875}-\frac{5764801\,\ln\left(x-\frac{1}{2}\right)}{2816}-\frac{40089855591\,x}{10000000}-\frac{7136193339\,x^2}{2000000}-\frac{345533877\,x^3}{100000}-\frac{111146499\,x^4}{40000}-\frac{8018271\,x^5}{5000}-\frac{114453\,x^6}{200}-\frac{6561\,x^7}{70}","Not used",1,"log(x + 3/5)/4296875 - (5764801*log(x - 1/2))/2816 - (40089855591*x)/10000000 - (7136193339*x^2)/2000000 - (345533877*x^3)/100000 - (111146499*x^4)/40000 - (8018271*x^5)/5000 - (114453*x^6)/200 - (6561*x^7)/70","B"
1486,1,41,61,0.045386,"\text{Not used}","int(-(3*x + 2)^7/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{859375}-\frac{823543\,\ln\left(x-\frac{1}{2}\right)}{1408}-\frac{1127138733\,x}{1000000}-\frac{187738857\,x^2}{200000}-\frac{7889751\,x^3}{10000}-\frac{2006937\,x^4}{4000}-\frac{99873\,x^5}{500}-\frac{729\,x^6}{20}","Not used",1,"log(x + 3/5)/859375 - (823543*log(x - 1/2))/1408 - (1127138733*x)/1000000 - (187738857*x^2)/200000 - (7889751*x^3)/10000 - (2006937*x^4)/4000 - (99873*x^5)/500 - (729*x^6)/20","B"
1487,1,36,54,1.116252,"\text{Not used}","int(-(3*x + 2)^6/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{171875}-\frac{117649\,\ln\left(x-\frac{1}{2}\right)}{704}-\frac{31289679\,x}{100000}-\frac{4693491\,x^2}{20000}-\frac{159813\,x^3}{1000}-\frac{28431\,x^4}{400}-\frac{729\,x^5}{50}","Not used",1,"log(x + 3/5)/171875 - (117649*log(x - 1/2))/704 - (31289679*x)/100000 - (4693491*x^2)/20000 - (159813*x^3)/1000 - (28431*x^4)/400 - (729*x^5)/50","B"
1488,1,31,47,1.118351,"\text{Not used}","int(-(3*x + 2)^5/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{34375}-\frac{16807\,\ln\left(x-\frac{1}{2}\right)}{352}-\frac{848277\,x}{10000}-\frac{107433\,x^2}{2000}-\frac{2619\,x^3}{100}-\frac{243\,x^4}{40}","Not used",1,"log(x + 3/5)/34375 - (16807*log(x - 1/2))/352 - (848277*x)/10000 - (107433*x^2)/2000 - (2619*x^3)/100 - (243*x^4)/40","B"
1489,1,26,40,0.036993,"\text{Not used}","int(-(3*x + 2)^4/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{6875}-\frac{2401\,\ln\left(x-\frac{1}{2}\right)}{176}-\frac{21951\,x}{1000}-\frac{2079\,x^2}{200}-\frac{27\,x^3}{10}","Not used",1,"log(x + 3/5)/6875 - (2401*log(x - 1/2))/176 - (21951*x)/1000 - (2079*x^2)/200 - (27*x^3)/10","B"
1490,1,21,33,1.107015,"\text{Not used}","int(-(3*x + 2)^3/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{1375}-\frac{343\,\ln\left(x-\frac{1}{2}\right)}{88}-\frac{513\,x}{100}-\frac{27\,x^2}{20}","Not used",1,"log(x + 3/5)/1375 - (343*log(x - 1/2))/88 - (513*x)/100 - (27*x^2)/20","B"
1491,1,16,26,0.046474,"\text{Not used}","int(-(3*x + 2)^2/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{275}-\frac{49\,\ln\left(x-\frac{1}{2}\right)}{44}-\frac{9\,x}{10}","Not used",1,"log(x + 3/5)/275 - (49*log(x - 1/2))/44 - (9*x)/10","B"
1492,1,13,21,1.154447,"\text{Not used}","int(-(3*x + 2)/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{55}-\frac{7\,\ln\left(x-\frac{1}{2}\right)}{22}","Not used",1,"log(x + 3/5)/55 - (7*log(x - 1/2))/22","B"
1493,1,16,21,0.127032,"\text{Not used}","int(-1/((2*x - 1)*(5*x + 3)),x)","\frac{\ln\left(\frac{5\,x+3}{2\,x-1}\right)}{11}","Not used",1,"log((5*x + 3)/(2*x - 1))/11","B"
1494,1,19,31,1.185363,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)*(5*x + 3)),x)","\frac{5\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{3\,\ln\left(x+\frac{2}{3}\right)}{7}-\frac{2\,\ln\left(x-\frac{1}{2}\right)}{77}","Not used",1,"(5*log(x + 3/5))/11 - (3*log(x + 2/3))/7 - (2*log(x - 1/2))/77","B"
1495,1,26,42,1.139490,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^2*(5*x + 3)),x)","\frac{25\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{111\,\ln\left(x+\frac{2}{3}\right)}{49}-\frac{4\,\ln\left(x-\frac{1}{2}\right)}{539}+\frac{1}{7\,\left(x+\frac{2}{3}\right)}","Not used",1,"(25*log(x + 3/5))/11 - (111*log(x + 2/3))/49 - (4*log(x - 1/2))/539 + 1/(7*(x + 2/3))","B"
1496,1,35,53,0.041792,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^3*(5*x + 3)),x)","\frac{125\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{3897\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{8\,\ln\left(x-\frac{1}{2}\right)}{3773}+\frac{\frac{37\,x}{49}+\frac{155}{294}}{x^2+\frac{4\,x}{3}+\frac{4}{9}}","Not used",1,"(125*log(x + 3/5))/11 - (3897*log(x + 2/3))/343 - (8*log(x - 1/2))/3773 + ((37*x)/49 + 155/294)/((4*x)/3 + x^2 + 4/9)","B"
1497,1,45,64,0.043921,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^4*(5*x + 3)),x)","\frac{625\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{136419\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{16\,\ln\left(x-\frac{1}{2}\right)}{26411}+\frac{\frac{1299\,x^2}{343}+\frac{10651\,x}{2058}+\frac{16414}{9261}}{x^3+2\,x^2+\frac{4\,x}{3}+\frac{8}{27}}","Not used",1,"(625*log(x + 3/5))/11 - (136419*log(x + 2/3))/2401 - (16*log(x - 1/2))/26411 + ((10651*x)/2058 + (1299*x^2)/343 + 16414/9261)/((4*x)/3 + 2*x^2 + x^3 + 8/27)","B"
1498,1,55,75,1.118981,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^5*(5*x + 3)),x)","\frac{3125\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{4774713\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{32\,\ln\left(x-\frac{1}{2}\right)}{184877}+\frac{\frac{45473\,x^3}{2401}+\frac{184923\,x^2}{4802}+\frac{1693399\,x}{64827}+\frac{4599173}{777924}}{x^4+\frac{8\,x^3}{3}+\frac{8\,x^2}{3}+\frac{32\,x}{27}+\frac{16}{81}}","Not used",1,"(3125*log(x + 3/5))/11 - (4774713*log(x + 2/3))/16807 - (32*log(x - 1/2))/184877 + ((1693399*x)/64827 + (184923*x^2)/4802 + (45473*x^3)/2401 + 4599173/777924)/((32*x)/27 + (8*x^2)/3 + (8*x^3)/3 + x^4 + 16/81)","B"
1499,1,65,86,0.049162,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^6*(5*x + 3)),x)","\frac{15625\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{167115051\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{64\,\ln\left(x-\frac{1}{2}\right)}{1294139}+\frac{\frac{1591571\,x^4}{16807}+\frac{25783447\,x^3}{100842}+\frac{39173854\,x^2}{151263}+\frac{23523635\,x}{201684}+\frac{29811193}{1512630}}{x^5+\frac{10\,x^4}{3}+\frac{40\,x^3}{9}+\frac{80\,x^2}{27}+\frac{80\,x}{81}+\frac{32}{243}}","Not used",1,"(15625*log(x + 3/5))/11 - (167115051*log(x + 2/3))/117649 - (64*log(x - 1/2))/1294139 + ((23523635*x)/201684 + (39173854*x^2)/151263 + (25783447*x^3)/100842 + (1591571*x^4)/16807 + 29811193/1512630)/((80*x)/81 + (80*x^2)/27 + (40*x^3)/9 + (10*x^4)/3 + x^5 + 32/243)","B"
1500,1,75,97,1.120443,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^7*(5*x + 3)),x)","\frac{78125\,\ln\left(x+\frac{3}{5}\right)}{11}-\frac{5849026977\,\ln\left(x+\frac{2}{3}\right)}{823543}-\frac{128\,\ln\left(x-\frac{1}{2}\right)}{9058973}+\frac{\frac{55705017\,x^5}{117649}+\frac{1125241337\,x^4}{705894}+\frac{6820522181\,x^3}{3176523}+\frac{18378644269\,x^2}{12706092}+\frac{7740055574\,x}{15882615}+\frac{18781142183}{285887070}}{x^6+4\,x^5+\frac{20\,x^4}{3}+\frac{160\,x^3}{27}+\frac{80\,x^2}{27}+\frac{64\,x}{81}+\frac{64}{729}}","Not used",1,"(78125*log(x + 3/5))/11 - (5849026977*log(x + 2/3))/823543 - (128*log(x - 1/2))/9058973 + ((7740055574*x)/15882615 + (18378644269*x^2)/12706092 + (6820522181*x^3)/3176523 + (1125241337*x^4)/705894 + (55705017*x^5)/117649 + 18781142183/285887070)/((64*x)/81 + (80*x^2)/27 + (160*x^3)/27 + (20*x^4)/3 + 4*x^5 + x^6 + 64/729)","B"
1501,1,50,72,0.050644,"\text{Not used}","int(-(3*x + 2)^8/((2*x - 1)*(5*x + 3)^2),x)","\frac{266\,\ln\left(x+\frac{3}{5}\right)}{47265625}-\frac{5764801\,\ln\left(x-\frac{1}{2}\right)}{15488}-\frac{3579885909\,x}{5000000}-\frac{1}{21484375\,\left(x+\frac{3}{5}\right)}-\frac{118543581\,x^2}{200000}-\frac{24660207\,x^3}{50000}-\frac{6194313\,x^4}{20000}-\frac{303993\,x^5}{2500}-\frac{2187\,x^6}{100}","Not used",1,"(266*log(x + 3/5))/47265625 - (5764801*log(x - 1/2))/15488 - (3579885909*x)/5000000 - 1/(21484375*(x + 3/5)) - (118543581*x^2)/200000 - (24660207*x^3)/50000 - (6194313*x^4)/20000 - (303993*x^5)/2500 - (2187*x^6)/100","B"
1502,1,45,65,0.045418,"\text{Not used}","int(-(3*x + 2)^7/((2*x - 1)*(5*x + 3)^2),x)","\frac{233\,\ln\left(x+\frac{3}{5}\right)}{9453125}-\frac{823543\,\ln\left(x-\frac{1}{2}\right)}{7744}-\frac{19846971\,x}{100000}-\frac{1}{4296875\,\left(x+\frac{3}{5}\right)}-\frac{14750667\,x^2}{100000}-\frac{495477\,x^3}{5000}-\frac{86751\,x^4}{2000}-\frac{2187\,x^5}{250}","Not used",1,"(233*log(x + 3/5))/9453125 - (823543*log(x - 1/2))/7744 - (19846971*x)/100000 - 1/(4296875*(x + 3/5)) - (14750667*x^2)/100000 - (495477*x^3)/5000 - (86751*x^4)/2000 - (2187*x^5)/250","B"
1503,1,40,58,1.104246,"\text{Not used}","int(-(3*x + 2)^6/((2*x - 1)*(5*x + 3)^2),x)","\frac{8\,\ln\left(x+\frac{3}{5}\right)}{75625}-\frac{117649\,\ln\left(x-\frac{1}{2}\right)}{3872}-\frac{2682909\,x}{50000}-\frac{1}{859375\,\left(x+\frac{3}{5}\right)}-\frac{335097\,x^2}{10000}-\frac{8019\,x^3}{500}-\frac{729\,x^4}{200}","Not used",1,"(8*log(x + 3/5))/75625 - (117649*log(x - 1/2))/3872 - (2682909*x)/50000 - 1/(859375*(x + 3/5)) - (335097*x^2)/10000 - (8019*x^3)/500 - (729*x^4)/200","B"
1504,1,35,51,0.043788,"\text{Not used}","int(-(3*x + 2)^5/((2*x - 1)*(5*x + 3)^2),x)","\frac{167\,\ln\left(x+\frac{3}{5}\right)}{378125}-\frac{16807\,\ln\left(x-\frac{1}{2}\right)}{1936}-\frac{69039\,x}{5000}-\frac{1}{171875\,\left(x+\frac{3}{5}\right)}-\frac{6399\,x^2}{1000}-\frac{81\,x^3}{50}","Not used",1,"(167*log(x + 3/5))/378125 - (16807*log(x - 1/2))/1936 - (69039*x)/5000 - 1/(171875*(x + 3/5)) - (6399*x^2)/1000 - (81*x^3)/50","B"
1505,1,30,44,0.041372,"\text{Not used}","int(-(3*x + 2)^4/((2*x - 1)*(5*x + 3)^2),x)","\frac{134\,\ln\left(x+\frac{3}{5}\right)}{75625}-\frac{2401\,\ln\left(x-\frac{1}{2}\right)}{968}-\frac{1593\,x}{500}-\frac{1}{34375\,\left(x+\frac{3}{5}\right)}-\frac{81\,x^2}{100}","Not used",1,"(134*log(x + 3/5))/75625 - (2401*log(x - 1/2))/968 - (1593*x)/500 - 1/(34375*(x + 3/5)) - (81*x^2)/100","B"
1506,1,25,37,1.121878,"\text{Not used}","int(-(3*x + 2)^3/((2*x - 1)*(5*x + 3)^2),x)","\frac{101\,\ln\left(x+\frac{3}{5}\right)}{15125}-\frac{343\,\ln\left(x-\frac{1}{2}\right)}{484}-\frac{27\,x}{50}-\frac{1}{6875\,\left(x+\frac{3}{5}\right)}","Not used",1,"(101*log(x + 3/5))/15125 - (343*log(x - 1/2))/484 - (27*x)/50 - 1/(6875*(x + 3/5))","B"
1507,1,22,32,0.091054,"\text{Not used}","int(-(3*x + 2)^2/((2*x - 1)*(5*x + 3)^2),x)","\frac{68\,\ln\left(x+\frac{3}{5}\right)}{3025}-\frac{49\,\ln\left(x-\frac{1}{2}\right)}{242}-\frac{1}{1375\,\left(x+\frac{3}{5}\right)}","Not used",1,"(68*log(x + 3/5))/3025 - (49*log(x - 1/2))/242 - 1/(1375*(x + 3/5))","B"
1508,1,18,32,0.035408,"\text{Not used}","int(-(3*x + 2)/((2*x - 1)*(5*x + 3)^2),x)","\frac{14\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{121}-\frac{1}{275\,\left(x+\frac{3}{5}\right)}","Not used",1,"(14*atanh((20*x)/11 + 1/11))/121 - 1/(275*(x + 3/5))","B"
1509,1,26,32,1.109151,"\text{Not used}","int(-1/((2*x - 1)*(5*x + 3)^2),x)","\frac{2\,\ln\left(\frac{5\,x+3}{2\,x-1}\right)}{121}-\frac{1}{11\,\left(5\,x+3\right)}","Not used",1,"(2*log((5*x + 3)/(2*x - 1)))/121 - 1/(11*(5*x + 3))","B"
1510,1,28,42,1.107867,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)*(5*x + 3)^2),x)","\frac{9\,\ln\left(x+\frac{2}{3}\right)}{7}-\frac{4\,\ln\left(x-\frac{1}{2}\right)}{847}-\frac{155\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{1}{11\,\left(x+\frac{3}{5}\right)}","Not used",1,"(9*log(x + 2/3))/7 - (4*log(x - 1/2))/847 - (155*log(x + 3/5))/121 - 1/(11*(x + 3/5))","B"
1511,1,36,53,0.042507,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^2*(5*x + 3)^2),x)","\frac{648\,\ln\left(x+\frac{2}{3}\right)}{49}-\frac{8\,\ln\left(x-\frac{1}{2}\right)}{5929}-\frac{1600\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{\frac{68\,x}{77}+\frac{647}{1155}}{x^2+\frac{19\,x}{15}+\frac{2}{5}}","Not used",1,"(648*log(x + 2/3))/49 - (8*log(x - 1/2))/5929 - (1600*log(x + 3/5))/121 - ((68*x)/77 + 647/1155)/((19*x)/15 + x^2 + 2/5)","B"
1512,1,46,64,0.042565,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^3*(5*x + 3)^2),x)","\frac{34371\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{16\,\ln\left(x-\frac{1}{2}\right)}{41503}-\frac{12125\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{\frac{3601\,x^2}{539}+\frac{140443\,x}{16170}+\frac{27323}{9702}}{x^3+\frac{29\,x^2}{15}+\frac{56\,x}{45}+\frac{4}{15}}","Not used",1,"(34371*log(x + 2/3))/343 - (16*log(x - 1/2))/41503 - (12125*log(x + 3/5))/121 - ((140443*x)/16170 + (3601*x^2)/539 + 27323/9702)/((56*x)/45 + (29*x^2)/15 + x^3 + 4/15)","B"
1513,1,56,75,1.167321,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^4*(5*x + 3)^2),x)","\frac{1612242\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{32\,\ln\left(x-\frac{1}{2}\right)}{290521}-\frac{81250\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{\frac{168902\,x^3}{3773}+\frac{1660871\,x^2}{18865}+\frac{1398673\,x}{24255}+\frac{6406511}{509355}}{x^4+\frac{13\,x^3}{5}+\frac{38\,x^2}{15}+\frac{148\,x}{135}+\frac{8}{45}}","Not used",1,"(1612242*log(x + 2/3))/2401 - (32*log(x - 1/2))/290521 - (81250*log(x + 3/5))/121 - ((1398673*x)/24255 + (1660871*x^2)/18865 + (168902*x^3)/3773 + 6406511/509355)/((148*x)/135 + (38*x^2)/15 + (13*x^3)/5 + x^4 + 8/45)","B"
1514,1,66,86,0.046544,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^5*(5*x + 3)^2),x)","\frac{70752609\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{64\,\ln\left(x-\frac{1}{2}\right)}{2033647}-\frac{509375\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{\frac{7412179\,x^4}{26411}+\frac{585562157\,x^3}{792330}+\frac{577985291\,x^2}{792330}+\frac{4561851139\,x}{14261940}+\frac{2249141207}{42785820}}{x^5+\frac{49\,x^4}{15}+\frac{64\,x^3}{15}+\frac{376\,x^2}{135}+\frac{368\,x}{405}+\frac{16}{135}}","Not used",1,"(70752609*log(x + 2/3))/16807 - (64*log(x - 1/2))/2033647 - (509375*log(x + 3/5))/121 - ((4561851139*x)/14261940 + (577985291*x^2)/792330 + (585562157*x^3)/792330 + (7412179*x^4)/26411 + 2249141207/42785820)/((368*x)/405 + (376*x^2)/135 + (64*x^3)/15 + (49*x^4)/15 + x^5 + 16/135)","B"
1515,1,76,97,0.050138,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^6*(5*x + 3)^2),x)","\frac{2977686468\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{128\,\ln\left(x-\frac{1}{2}\right)}{14235529}-\frac{3062500\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{\frac{311948108\,x^5}{184877}+\frac{2205918766\,x^4}{396165}+\frac{61131431062\,x^3}{8319465}+\frac{120972437153\,x^2}{24958395}+\frac{119659011743\,x}{74875185}+\frac{236642515057}{1123127775}}{x^6+\frac{59\,x^5}{15}+\frac{58\,x^4}{9}+\frac{152\,x^3}{27}+\frac{224\,x^2}{81}+\frac{176\,x}{243}+\frac{32}{405}}","Not used",1,"(2977686468*log(x + 2/3))/117649 - (128*log(x - 1/2))/14235529 - (3062500*log(x + 3/5))/121 - ((119659011743*x)/74875185 + (120972437153*x^2)/24958395 + (61131431062*x^3)/8319465 + (2205918766*x^4)/396165 + (311948108*x^5)/184877 + 236642515057/1123127775)/((176*x)/243 + (224*x^2)/81 + (152*x^3)/27 + (58*x^4)/9 + (59*x^5)/15 + x^6 + 32/405)","B"
1516,1,53,76,1.117318,"\text{Not used}","int(-(3*x + 2)^8/((2*x - 1)*(5*x + 3)^3),x)","\frac{31024\,\ln\left(x+\frac{3}{5}\right)}{519921875}-\frac{5764801\,\ln\left(x-\frac{1}{2}\right)}{85184}-\frac{62934003\,x}{500000}-\frac{\frac{266\,x}{236328125}+\frac{1607}{2363281250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{9268263\,x^2}{100000}-\frac{1535517\,x^3}{25000}-\frac{264627\,x^4}{10000}-\frac{6561\,x^5}{1250}","Not used",1,"(31024*log(x + 3/5))/519921875 - (5764801*log(x - 1/2))/85184 - (62934003*x)/500000 - ((266*x)/236328125 + 1607/2363281250)/((6*x)/5 + x^2 + 9/25) - (9268263*x^2)/100000 - (1535517*x^3)/25000 - (264627*x^4)/10000 - (6561*x^5)/1250","B"
1517,1,48,69,0.042334,"\text{Not used}","int(-(3*x + 2)^7/((2*x - 1)*(5*x + 3)^3),x)","\frac{4667\,\ln\left(x+\frac{3}{5}\right)}{20796875}-\frac{823543\,\ln\left(x-\frac{1}{2}\right)}{42592}-\frac{339309\,x}{10000}-\frac{\frac{233\,x}{47265625}+\frac{1409}{472656250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{1044657\,x^2}{50000}-\frac{24543\,x^3}{2500}-\frac{2187\,x^4}{1000}","Not used",1,"(4667*log(x + 3/5))/20796875 - (823543*log(x - 1/2))/42592 - (339309*x)/10000 - ((233*x)/47265625 + 1409/472656250)/((6*x)/5 + x^2 + 9/25) - (1044657*x^2)/50000 - (24543*x^3)/2500 - (2187*x^4)/1000","B"
1518,1,43,62,0.039147,"\text{Not used}","int(-(3*x + 2)^6/((2*x - 1)*(5*x + 3)^3),x)","\frac{3347\,\ln\left(x+\frac{3}{5}\right)}{4159375}-\frac{117649\,\ln\left(x-\frac{1}{2}\right)}{21296}-\frac{216999\,x}{25000}-\frac{\frac{8\,x}{378125}+\frac{1211}{94531250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{19683\,x^2}{5000}-\frac{243\,x^3}{250}","Not used",1,"(3347*log(x + 3/5))/4159375 - (117649*log(x - 1/2))/21296 - (216999*x)/25000 - ((8*x)/378125 + 1211/94531250)/((6*x)/5 + x^2 + 9/25) - (19683*x^2)/5000 - (243*x^3)/250","B"
1519,1,38,55,0.039360,"\text{Not used}","int(-(3*x + 2)^5/((2*x - 1)*(5*x + 3)^3),x)","\frac{11224\,\ln\left(x+\frac{3}{5}\right)}{4159375}-\frac{16807\,\ln\left(x-\frac{1}{2}\right)}{10648}-\frac{4941\,x}{2500}-\frac{\frac{167\,x}{1890625}+\frac{1013}{18906250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}-\frac{243\,x^2}{500}","Not used",1,"(11224*log(x + 3/5))/4159375 - (16807*log(x - 1/2))/10648 - (4941*x)/2500 - ((167*x)/1890625 + 1013/18906250)/((6*x)/5 + x^2 + 9/25) - (243*x^2)/500","B"
1520,1,33,48,0.041934,"\text{Not used}","int(-(3*x + 2)^4/((2*x - 1)*(5*x + 3)^3),x)","\frac{6802\,\ln\left(x+\frac{3}{5}\right)}{831875}-\frac{2401\,\ln\left(x-\frac{1}{2}\right)}{5324}-\frac{81\,x}{250}-\frac{\frac{134\,x}{378125}+\frac{163}{756250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(6802*log(x + 3/5))/831875 - (2401*log(x - 1/2))/5324 - (81*x)/250 - ((134*x)/378125 + 163/756250)/((6*x)/5 + x^2 + 9/25)","B"
1521,1,30,43,1.155319,"\text{Not used}","int(-(3*x + 2)^3/((2*x - 1)*(5*x + 3)^3),x)","\frac{3469\,\ln\left(x+\frac{3}{5}\right)}{166375}-\frac{343\,\ln\left(x-\frac{1}{2}\right)}{2662}-\frac{\frac{101\,x}{75625}+\frac{617}{756250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(3469*log(x + 3/5))/166375 - (343*log(x - 1/2))/2662 - ((101*x)/75625 + 617/756250)/((6*x)/5 + x^2 + 9/25)","B"
1522,1,26,43,0.039372,"\text{Not used}","int(-(3*x + 2)^2/((2*x - 1)*(5*x + 3)^3),x)","\frac{98\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{68\,x}{15125}+\frac{419}{151250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(98*atanh((20*x)/11 + 1/11))/1331 - ((68*x)/15125 + 419/151250)/((6*x)/5 + x^2 + 9/25)","B"
1523,1,26,43,0.039854,"\text{Not used}","int(-(3*x + 2)/((2*x - 1)*(5*x + 3)^3),x)","\frac{28\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{7\,x}{605}+\frac{221}{30250}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(28*atanh((20*x)/11 + 1/11))/1331 - ((7*x)/605 + 221/30250)/((6*x)/5 + x^2 + 9/25)","B"
1524,1,26,43,0.040432,"\text{Not used}","int(-1/((2*x - 1)*(5*x + 3)^3),x)","\frac{8\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{2\,x}{605}+\frac{23}{6050}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(8*atanh((20*x)/11 + 1/11))/1331 - ((2*x)/605 + 23/6050)/((6*x)/5 + x^2 + 9/25)","B"
1525,1,35,53,0.044627,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)*(5*x + 3)^3),x)","\frac{5135\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{27\,\ln\left(x+\frac{2}{3}\right)}{7}-\frac{8\,\ln\left(x-\frac{1}{2}\right)}{9317}+\frac{\frac{31\,x}{121}+\frac{35}{242}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(5135*log(x + 3/5))/1331 - (27*log(x + 2/3))/7 - (8*log(x - 1/2))/9317 + ((31*x)/121 + 35/242)/((6*x)/5 + x^2 + 9/25)","B"
1526,1,45,64,1.102410,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^2*(5*x + 3)^3),x)","\frac{78475\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{2889\,\ln\left(x+\frac{2}{3}\right)}{49}-\frac{16\,\ln\left(x-\frac{1}{2}\right)}{65219}+\frac{\frac{3329\,x^2}{847}+\frac{123169\,x}{25410}+\frac{94678}{63525}}{x^3+\frac{28\,x^2}{15}+\frac{29\,x}{25}+\frac{6}{25}}","Not used",1,"(78475*log(x + 3/5))/1331 - (2889*log(x + 2/3))/49 - (16*log(x - 1/2))/65219 + ((123169*x)/25410 + (3329*x^2)/847 + 94678/63525)/((29*x)/25 + (28*x^2)/15 + x^3 + 6/25)","B"
1527,1,55,75,0.045275,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^3*(5*x + 3)^3),x)","\frac{792500\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{204228\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{32\,\ln\left(x-\frac{1}{2}\right)}{456533}+\frac{\frac{235348\,x^3}{5929}+\frac{136886\,x^2}{1815}+\frac{63622288\,x}{1334025}+\frac{5355961}{533610}}{x^4+\frac{38\,x^3}{15}+\frac{541\,x^2}{225}+\frac{76\,x}{75}+\frac{4}{25}}","Not used",1,"(792500*log(x + 3/5))/1331 - (204228*log(x + 2/3))/343 - (32*log(x - 1/2))/456533 + ((63622288*x)/1334025 + (136886*x^2)/1815 + (235348*x^3)/5929 + 5355961/533610)/((76*x)/75 + (541*x^2)/225 + (38*x^3)/15 + x^4 + 4/25)","B"
1528,1,65,86,1.120271,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^4*(5*x + 3)^3),x)","\frac{6643750\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{11984706\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{64\,\ln\left(x-\frac{1}{2}\right)}{3195731}+\frac{\frac{13810946\,x^4}{41503}+\frac{177240471\,x^3}{207515}+\frac{852186484\,x^2}{1037575}+\frac{19648830809\,x}{56029050}+\frac{1571537764}{28014525}}{x^5+\frac{16\,x^4}{5}+\frac{307\,x^3}{75}+\frac{1766\,x^2}{675}+\frac{188\,x}{225}+\frac{8}{75}}","Not used",1,"(6643750*log(x + 3/5))/1331 - (11984706*log(x + 2/3))/2401 - (64*log(x - 1/2))/3195731 + ((19648830809*x)/56029050 + (852186484*x^2)/1037575 + (177240471*x^3)/207515 + (13810946*x^4)/41503 + 1571537764/28014525)/((188*x)/225 + (1766*x^2)/675 + (307*x^3)/75 + (16*x^4)/5 + x^5 + 8/75)","B"
1529,1,75,97,0.047279,"\text{Not used}","int(-1/((2*x - 1)*(3*x + 2)^5*(5*x + 3)^3),x)","\frac{50028125\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{631722537\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{128\,\ln\left(x-\frac{1}{2}\right)}{22370117}+\frac{\frac{727985017\,x^5}{290521}+\frac{70614546617\,x^4}{8715630}+\frac{76060952983\,x^3}{7263025}+\frac{5305603322807\,x^2}{784406700}+\frac{2568430130789\,x}{1176610050}+\frac{662695553413}{2353220100}}{x^6+\frac{58\,x^5}{15}+\frac{467\,x^4}{75}+\frac{3608\,x^3}{675}+\frac{5224\,x^2}{2025}+\frac{448\,x}{675}+\frac{16}{225}}","Not used",1,"(50028125*log(x + 3/5))/1331 - (631722537*log(x + 2/3))/16807 - (128*log(x - 1/2))/22370117 + ((2568430130789*x)/1176610050 + (5305603322807*x^2)/784406700 + (76060952983*x^3)/7263025 + (70614546617*x^4)/8715630 + (727985017*x^5)/290521 + 662695553413/2353220100)/((448*x)/675 + (5224*x^2)/2025 + (3608*x^3)/675 + (467*x^4)/75 + (58*x^5)/15 + x^6 + 16/225)","B"
1530,1,176,103,1.268064,"\text{Not used}","int((c + d*x)^4/((a + b*x)*(a - b*x)),x)","\frac{\ln\left(a+b\,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)}{2\,a\,b^5}-\frac{d^4\,x^3}{3\,b^2}-\frac{2\,c\,d^3\,x^2}{b^2}-x\,\left(\frac{a^2\,d^4}{b^4}+\frac{6\,c^2\,d^2}{b^2}\right)-\frac{\ln\left(a-b\,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)}{2\,a\,b^5}","Not used",1,"(log(a + b*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))/(2*a*b^5) - (d^4*x^3)/(3*b^2) - (2*c*d^3*x^2)/b^2 - x*((a^2*d^4)/b^4 + (6*c^2*d^2)/b^2) - (log(a - b*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))/(2*a*b^5)","B"
1531,1,122,76,1.182664,"\text{Not used}","int((c + d*x)^3/((a + b*x)*(a - b*x)),x)","-\frac{d^3\,x^2}{2\,b^2}-\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)}{2\,a\,b^4}-\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)}{2\,a\,b^4}-\frac{3\,c\,d^2\,x}{b^2}","Not used",1,"- (d^3*x^2)/(2*b^2) - (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))/(2*a*b^4) - (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))/(2*a*b^4) - (3*c*d^2*x)/b^2","B"
1532,1,81,62,1.181225,"\text{Not used}","int((c + d*x)^2/((a + b*x)*(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)}{2\,a\,b^3}-\frac{d^2\,x}{b^2}-\frac{\ln\left(a-b\,x\right)\,\left(a^2\,d^2+2\,a\,b\,c\,d+b^2\,c^2\right)}{2\,a\,b^3}","Not used",1,"(log(a + b*x)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(2*a*b^3) - (d^2*x)/b^2 - (log(a - b*x)*(a^2*d^2 + b^2*c^2 + 2*a*b*c*d))/(2*a*b^3)","B"
1533,1,45,49,0.110211,"\text{Not used}","int((c + d*x)/((a + b*x)*(a - b*x)),x)","-\frac{\ln\left(a+b\,x\right)\,\left(a\,d-b\,c\right)}{2\,a\,b^2}-\frac{\ln\left(a-b\,x\right)\,\left(a\,d+b\,c\right)}{2\,a\,b^2}","Not used",1,"- (log(a + b*x)*(a*d - b*c))/(2*a*b^2) - (log(a - b*x)*(a*d + b*c))/(2*a*b^2)","B"
1534,1,14,14,0.041926,"\text{Not used}","int(1/((a + b*x)*(a - b*x)),x)","\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{a\,b}","Not used",1,"atanh((b*x)/a)/(a*b)","B"
1535,1,72,74,1.331373,"\text{Not used}","int(1/((a + b*x)*(a - b*x)*(c + d*x)),x)","\frac{d\,\ln\left(c+d\,x\right)}{a^2\,d^2-b^2\,c^2}-\frac{\ln\left(a-b\,x\right)}{2\,d\,a^2+2\,b\,c\,a}-\frac{\ln\left(a+b\,x\right)}{2\,a^2\,d-2\,a\,b\,c}","Not used",1,"(d*log(c + d*x))/(a^2*d^2 - b^2*c^2) - log(a - b*x)/(2*a^2*d + 2*a*b*c) - log(a + b*x)/(2*a^2*d - 2*a*b*c)","B"
1536,1,147,107,1.317929,"\text{Not used}","int(1/((a + b*x)*(a - b*x)*(c + d*x)^2),x)","\frac{b\,\ln\left(a+b\,x\right)}{2\,\left(a^3\,d^2-2\,a^2\,b\,c\,d+a\,b^2\,c^2\right)}-\frac{b\,\ln\left(a-b\,x\right)}{2\,\left(a^3\,d^2+2\,a^2\,b\,c\,d+a\,b^2\,c^2\right)}-\frac{d}{\left(a^2\,d^2-b^2\,c^2\right)\,\left(c+d\,x\right)}-\frac{2\,b^2\,c\,d\,\ln\left(c+d\,x\right)}{a^4\,d^4-2\,a^2\,b^2\,c^2\,d^2+b^4\,c^4}","Not used",1,"(b*log(a + b*x))/(2*(a^3*d^2 + a*b^2*c^2 - 2*a^2*b*c*d)) - (b*log(a - b*x))/(2*(a^3*d^2 + a*b^2*c^2 + 2*a^2*b*c*d)) - d/((a^2*d^2 - b^2*c^2)*(c + d*x)) - (2*b^2*c*d*log(c + d*x))/(a^4*d^4 + b^4*c^4 - 2*a^2*b^2*c^2*d^2)","B"
1537,1,294,161,1.709343,"\text{Not used}","int(1/((a + b*x)*(a - b*x)*(c + d*x)^3),x)","\frac{\ln\left(c+d\,x\right)\,\left(a^2\,b^2\,d^3+3\,b^4\,c^2\,d\right)}{a^6\,d^6-3\,a^4\,b^2\,c^2\,d^4+3\,a^2\,b^4\,c^4\,d^2-b^6\,c^6}-\frac{b^2\,\ln\left(a+b\,x\right)}{2\,\left(a^4\,d^3-3\,a^3\,b\,c\,d^2+3\,a^2\,b^2\,c^2\,d-a\,b^3\,c^3\right)}-\frac{b^2\,\ln\left(a-b\,x\right)}{2\,\left(a^4\,d^3+3\,a^3\,b\,c\,d^2+3\,a^2\,b^2\,c^2\,d+a\,b^3\,c^3\right)}-\frac{\frac{a^2\,d^3-5\,b^2\,c^2\,d}{2\,\left(a^4\,d^4-2\,a^2\,b^2\,c^2\,d^2+b^4\,c^4\right)}-\frac{2\,b^2\,c\,d^2\,x}{a^4\,d^4-2\,a^2\,b^2\,c^2\,d^2+b^4\,c^4}}{c^2+2\,c\,d\,x+d^2\,x^2}","Not used",1,"(log(c + d*x)*(3*b^4*c^2*d + a^2*b^2*d^3))/(a^6*d^6 - b^6*c^6 + 3*a^2*b^4*c^4*d^2 - 3*a^4*b^2*c^2*d^4) - (b^2*log(a + b*x))/(2*(a^4*d^3 - a*b^3*c^3 + 3*a^2*b^2*c^2*d - 3*a^3*b*c*d^2)) - (b^2*log(a - b*x))/(2*(a^4*d^3 + a*b^3*c^3 + 3*a^2*b^2*c^2*d + 3*a^3*b*c*d^2)) - ((a^2*d^3 - 5*b^2*c^2*d)/(2*(a^4*d^4 + b^4*c^4 - 2*a^2*b^2*c^2*d^2)) - (2*b^2*c*d^2*x)/(a^4*d^4 + b^4*c^4 - 2*a^2*b^2*c^2*d^2))/(c^2 + d^2*x^2 + 2*c*d*x)","B"
1538,1,54,76,1.100655,"\text{Not used}","int(((3*x + 2)^8*(5*x + 3))/(2*x - 1)^2,x)","\frac{91609881\,x}{256}+\frac{246239357\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{63412811}{2048\,\left(x-\frac{1}{2}\right)}+\frac{122887143\,x^2}{512}+\frac{5892813\,x^3}{32}+\frac{32991057\,x^4}{256}+\frac{5859459\,x^5}{80}+\frac{976617\,x^6}{32}+\frac{56862\,x^7}{7}+\frac{32805\,x^8}{32}","Not used",1,"(91609881*x)/256 + (246239357*log(x - 1/2))/1024 - 63412811/(2048*(x - 1/2)) + (122887143*x^2)/512 + (5892813*x^3)/32 + (32991057*x^4)/256 + (5859459*x^5)/80 + (976617*x^6)/32 + (56862*x^7)/7 + (32805*x^8)/32","B"
1539,1,49,69,0.040465,"\text{Not used}","int(((3*x + 2)^7*(5*x + 3))/(2*x - 1)^2,x)","\frac{22333965\,x}{256}+\frac{15647317\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{9058973}{1024\,\left(x-\frac{1}{2}\right)}+\frac{873207\,x^2}{16}+\frac{2399985\,x^3}{64}+\frac{1423899\,x^4}{64}+\frac{793881\,x^5}{80}+\frac{11421\,x^6}{4}+\frac{10935\,x^7}{28}","Not used",1,"(22333965*x)/256 + (15647317*log(x - 1/2))/256 - 9058973/(1024*(x - 1/2)) + (873207*x^2)/16 + (2399985*x^3)/64 + (1423899*x^4)/64 + (793881*x^5)/80 + (11421*x^6)/4 + (10935*x^7)/28","B"
1540,1,44,62,0.034140,"\text{Not used}","int(((3*x + 2)^6*(5*x + 3))/(2*x - 1)^2,x)","\frac{661617\,x}{32}+\frac{3916031\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{1294139}{512\,\left(x-\frac{1}{2}\right)}+\frac{1507977\,x^2}{128}+\frac{111501\,x^3}{16}+\frac{210195\,x^4}{64}+\frac{5103\,x^5}{5}+\frac{1215\,x^6}{8}","Not used",1,"(661617*x)/32 + (3916031*log(x - 1/2))/256 - 1294139/(512*(x - 1/2)) + (1507977*x^2)/128 + (111501*x^3)/16 + (210195*x^4)/64 + (5103*x^5)/5 + (1215*x^6)/8","B"
1541,1,39,55,0.029522,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3))/(2*x - 1)^2,x)","\frac{301467\,x}{64}+\frac{60025\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{184877}{256\,\left(x-\frac{1}{2}\right)}+\frac{75447\,x^2}{32}+\frac{18027\,x^3}{16}+\frac{2997\,x^4}{8}+\frac{243\,x^5}{4}","Not used",1,"(301467*x)/64 + (60025*log(x - 1/2))/16 - 184877/(256*(x - 1/2)) + (75447*x^2)/32 + (18027*x^3)/16 + (2997*x^4)/8 + (243*x^5)/4","B"
1542,1,34,46,0.026948,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3))/(2*x - 1)^2,x)","\frac{16203\,x}{16}+\frac{57281\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{26411}{128\,\left(x-\frac{1}{2}\right)}+\frac{13419\,x^2}{32}+144\,x^3+\frac{405\,x^4}{16}","Not used",1,"(16203*x)/16 + (57281*log(x - 1/2))/64 - 26411/(128*(x - 1/2)) + (13419*x^2)/32 + 144*x^3 + (405*x^4)/16","B"
1543,1,29,41,0.026835,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3))/(2*x - 1)^2,x)","\frac{3177\,x}{16}+\frac{3283\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{3773}{64\,\left(x-\frac{1}{2}\right)}+\frac{243\,x^2}{4}+\frac{45\,x^3}{4}","Not used",1,"(3177*x)/16 + (3283*log(x - 1/2))/16 - 3773/(64*(x - 1/2)) + (243*x^2)/4 + (45*x^3)/4","B"
1544,1,24,32,0.031372,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3))/(2*x - 1)^2,x)","33\,x+\frac{707\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{539}{32\,\left(x-\frac{1}{2}\right)}+\frac{45\,x^2}{8}","Not used",1,"33*x + (707*log(x - 1/2))/16 - 539/(32*(x - 1/2)) + (45*x^2)/8","B"
1545,1,19,27,0.033724,"\text{Not used}","int(((3*x + 2)*(5*x + 3))/(2*x - 1)^2,x)","\frac{15\,x}{4}+\frac{17\,\ln\left(x-\frac{1}{2}\right)}{2}-\frac{77}{16\,\left(x-\frac{1}{2}\right)}","Not used",1,"(15*x)/4 + (17*log(x - 1/2))/2 - 77/(16*(x - 1/2))","B"
1546,1,16,22,1.133160,"\text{Not used}","int((5*x + 3)/(2*x - 1)^2,x)","\frac{5\,\ln\left(x-\frac{1}{2}\right)}{4}-\frac{11}{8\,\left(x-\frac{1}{2}\right)}","Not used",1,"(5*log(x - 1/2))/4 - 11/(8*(x - 1/2))","B"
1547,1,18,32,0.038930,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{49}-\frac{11}{28\,\left(x-\frac{1}{2}\right)}","Not used",1,"- (2*atanh((12*x)/7 + 1/7))/49 - 11/(28*(x - 1/2))","B"
1548,1,26,43,0.040802,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)^2),x)","\frac{62\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{343}-\frac{\frac{31\,x}{294}+\frac{23}{294}}{x^2+\frac{x}{6}-\frac{1}{3}}","Not used",1,"(62*atanh((12*x)/7 + 1/7))/343 - ((31*x)/294 + 23/294)/(x/6 + x^2 - 1/3)","B"
1549,1,37,54,1.076082,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)^3),x)","\frac{256\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}+\frac{\frac{64\,x^2}{1029}+\frac{16\,x}{343}+\frac{59}{12348}}{-x^3-\frac{5\,x^2}{6}+\frac{2\,x}{9}+\frac{2}{9}}","Not used",1,"(256*atanh((12*x)/7 + 1/7))/2401 + ((16*x)/343 + (64*x^2)/1029 + 59/12348)/((2*x)/9 - (5*x^2)/6 - x^3 + 2/9)","B"
1550,1,46,65,1.076474,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)^4),x)","\frac{776\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}-\frac{\frac{194\,x^3}{7203}+\frac{1649\,x^2}{43218}+\frac{6887\,x}{777924}-\frac{541}{194481}}{x^4+\frac{3\,x^3}{2}+\frac{x^2}{3}-\frac{10\,x}{27}-\frac{4}{27}}","Not used",1,"(776*atanh((12*x)/7 + 1/7))/16807 - ((6887*x)/777924 + (1649*x^2)/43218 + (194*x^3)/7203 - 541/194481)/(x^2/3 - (10*x)/27 + (3*x^3)/2 + x^4 - 4/27)","B"
1551,1,57,76,0.042767,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)^5),x)","\frac{2080\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}+\frac{\frac{520\,x^4}{50421}+\frac{3250\,x^3}{151263}+\frac{17875\,x^2}{1361367}-\frac{4615\,x}{16336404}-\frac{52979}{32672808}}{-x^5-\frac{13\,x^4}{6}-\frac{4\,x^3}{3}+\frac{4\,x^2}{27}+\frac{32\,x}{81}+\frac{8}{81}}","Not used",1,"(2080*atanh((12*x)/7 + 1/7))/117649 + ((17875*x^2)/1361367 - (4615*x)/16336404 + (3250*x^3)/151263 + (520*x^4)/50421 - 52979/32672808)/((32*x)/81 + (4*x^2)/27 - (4*x^3)/3 - (13*x^4)/6 - x^5 + 8/81)","B"
1552,1,66,87,1.068481,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)^6),x)","\frac{5216\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{1304\,x^5}{352947}+\frac{3586\,x^4}{352947}+\frac{93725\,x^3}{9529569}+\frac{347027\,x^2}{114354828}-\frac{3488689\,x}{3430644840}-\frac{1052129}{1715322420}}{x^6+\frac{17\,x^5}{6}+\frac{25\,x^4}{9}+\frac{20\,x^3}{27}-\frac{40\,x^2}{81}-\frac{88\,x}{243}-\frac{16}{243}}","Not used",1,"(5216*atanh((12*x)/7 + 1/7))/823543 - ((347027*x^2)/114354828 - (3488689*x)/3430644840 + (93725*x^3)/9529569 + (3586*x^4)/352947 + (1304*x^5)/352947 - 1052129/1715322420)/((20*x^3)/27 - (40*x^2)/81 - (88*x)/243 + (25*x^4)/9 + (17*x^5)/6 + x^6 - 16/243)","B"
1553,1,71,98,1.071086,"\text{Not used}","int((5*x + 3)/((2*x - 1)^2*(3*x + 2)^7),x)","\frac{256\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}-\frac{\frac{64\,x^6}{50421}+\frac{656\,x^5}{151263}+\frac{7768\,x^4}{1361367}+\frac{4486\,x^3}{1361367}+\frac{2353\,x^2}{6806835}-\frac{33193\,x}{61261515}-\frac{5459}{27227340}}{x^7+\frac{7\,x^6}{2}+\frac{14\,x^5}{3}+\frac{70\,x^4}{27}-\frac{56\,x^2}{81}-\frac{224\,x}{729}-\frac{32}{729}}","Not used",1,"(256*atanh((12*x)/7 + 1/7))/117649 - ((2353*x^2)/6806835 - (33193*x)/61261515 + (4486*x^3)/1361367 + (7768*x^4)/1361367 + (656*x^5)/151263 + (64*x^6)/50421 - 5459/27227340)/((70*x^4)/27 - (56*x^2)/81 - (224*x)/729 + (14*x^5)/3 + (7*x^6)/2 + x^7 - 32/729)","B"
1554,1,59,81,0.054793,"\text{Not used}","int(((3*x + 2)^8*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{2330515357\,x}{1024}+\frac{1512848491\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{697540921}{4096\,\left(x-\frac{1}{2}\right)}+\frac{413355417\,x^2}{256}+\frac{346239417\,x^3}{256}+\frac{275757561\,x^4}{256}+\frac{235268793\,x^5}{320}+396738\,x^6+\frac{17378631\,x^7}{112}+\frac{1235655\,x^8}{32}+\frac{18225\,x^9}{4}","Not used",1,"(2330515357*x)/1024 + (1512848491*log(x - 1/2))/1024 - 697540921/(4096*(x - 1/2)) + (413355417*x^2)/256 + (346239417*x^3)/256 + (275757561*x^4)/256 + (235268793*x^5)/320 + 396738*x^6 + (17378631*x^7)/112 + (1235655*x^8)/32 + (18225*x^9)/4","B"
1555,1,54,76,0.047531,"\text{Not used}","int(((3*x + 2)^7*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{9077405\,x}{16}+\frac{389535839\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{99648703}{2048\,\left(x-\frac{1}{2}\right)}+\frac{195497697\,x^2}{512}+\frac{18842715\,x^3}{64}+\frac{53086563\,x^4}{256}+\frac{4750569\,x^5}{40}+\frac{1597239\,x^6}{32}+\frac{375435\,x^7}{28}+\frac{54675\,x^8}{32}","Not used",1,"(9077405*x)/16 + (389535839*log(x - 1/2))/1024 - 99648703/(2048*(x - 1/2)) + (195497697*x^2)/512 + (18842715*x^3)/64 + (53086563*x^4)/256 + (4750569*x^5)/40 + (1597239*x^6)/32 + (375435*x^7)/28 + (54675*x^8)/32","B"
1556,1,49,69,0.041887,"\text{Not used}","int(((3*x + 2)^6*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{35458963\,x}{256}+\frac{12386759\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{14235529}{1024\,\left(x-\frac{1}{2}\right)}+\frac{11140101\,x^2}{128}+\frac{3851307\,x^3}{64}+\frac{575775\,x^4}{16}+\frac{1295919\,x^5}{80}+\frac{37665\,x^6}{8}+\frac{18225\,x^7}{28}","Not used",1,"(35458963*x)/256 + (12386759*log(x - 1/2))/128 - 14235529/(1024*(x - 1/2)) + (11140101*x^2)/128 + (3851307*x^3)/64 + (575775*x^4)/16 + (1295919*x^5)/80 + (37665*x^6)/8 + (18225*x^7)/28","B"
1557,1,44,62,0.036908,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{2104901\,x}{64}+\frac{6206585\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{2033647}{512\,\left(x-\frac{1}{2}\right)}+\frac{2412699\,x^2}{128}+\frac{89913\,x^3}{8}+\frac{342333\,x^4}{64}+\frac{6723\,x^5}{4}+\frac{2025\,x^6}{8}","Not used",1,"(2104901*x)/64 + (6206585*log(x - 1/2))/256 - 2033647/(512*(x - 1/2)) + (2412699*x^2)/128 + (89913*x^3)/8 + (342333*x^4)/64 + (6723*x^5)/4 + (2025*x^6)/8","B"
1558,1,39,55,0.030282,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{480841\,x}{64}+\frac{381073\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{290521}{256\,\left(x-\frac{1}{2}\right)}+\frac{15159\,x^2}{4}+\frac{29277\,x^3}{16}+\frac{9855\,x^4}{16}+\frac{405\,x^5}{4}","Not used",1,"(480841*x)/64 + (381073*log(x - 1/2))/64 - 290521/(256*(x - 1/2)) + (15159*x^2)/4 + (29277*x^3)/16 + (9855*x^4)/16 + (405*x^5)/4","B"
1559,1,34,48,0.029274,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{12973\,x}{8}+\frac{91091\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{41503}{128\,\left(x-\frac{1}{2}\right)}+\frac{21717\,x^2}{32}+\frac{945\,x^3}{4}+\frac{675\,x^4}{16}","Not used",1,"(12973*x)/8 + (91091*log(x - 1/2))/64 - 41503/(128*(x - 1/2)) + (21717*x^2)/32 + (945*x^3)/4 + (675*x^4)/16","B"
1560,1,29,41,0.025427,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{5119\,x}{16}+\frac{1309\,\ln\left(x-\frac{1}{2}\right)}{4}-\frac{5929}{64\,\left(x-\frac{1}{2}\right)}+\frac{795\,x^2}{8}+\frac{75\,x^3}{4}","Not used",1,"(5119*x)/16 + (1309*log(x - 1/2))/4 - 5929/(64*(x - 1/2)) + (795*x^2)/8 + (75*x^3)/4","B"
1561,1,24,34,0.031015,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^2)/(2*x - 1)^2,x)","\frac{215\,x}{4}+\frac{1133\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{847}{32\,\left(x-\frac{1}{2}\right)}+\frac{75\,x^2}{8}","Not used",1,"(215*x)/4 + (1133*log(x - 1/2))/16 - 847/(32*(x - 1/2)) + (75*x^2)/8","B"
1562,1,19,27,1.129152,"\text{Not used}","int((5*x + 3)^2/(2*x - 1)^2,x)","\frac{25\,x}{4}+\frac{55\,\ln\left(x-\frac{1}{2}\right)}{4}-\frac{121}{16\,\left(x-\frac{1}{2}\right)}","Not used",1,"(25*x)/4 + (55*log(x - 1/2))/4 - 121/(16*(x - 1/2))","B"
1563,1,22,32,0.049439,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)),x)","\frac{407\,\ln\left(x-\frac{1}{2}\right)}{196}+\frac{\ln\left(x+\frac{2}{3}\right)}{147}-\frac{121}{56\,\left(x-\frac{1}{2}\right)}","Not used",1,"(407*log(x - 1/2))/196 + log(x + 2/3)/147 - 121/(56*(x - 1/2))","B"
1564,1,26,43,0.041384,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^2),x)","-\frac{44\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{343}-\frac{\frac{1093\,x}{1764}+\frac{181}{441}}{x^2+\frac{x}{6}-\frac{1}{3}}","Not used",1,"- (44*atanh((12*x)/7 + 1/7))/343 - ((1093*x)/1764 + 181/441)/(x/6 + x^2 - 1/3)","B"
1565,1,37,54,0.047332,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^3),x)","\frac{638\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}+\frac{\frac{319\,x^2}{2058}+\frac{4297\,x}{18522}+\frac{3161}{37044}}{-x^3-\frac{5\,x^2}{6}+\frac{2\,x}{9}+\frac{2}{9}}","Not used",1,"(638*atanh((12*x)/7 + 1/7))/2401 + ((4297*x)/18522 + (319*x^2)/2058 + 3161/37044)/((2*x)/9 - (5*x^2)/6 - x^3 + 2/9)","B"
1566,1,46,65,0.047798,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^4),x)","\frac{2728\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}-\frac{\frac{682\,x^3}{7203}+\frac{5797\,x^2}{43218}+\frac{66329\,x}{1166886}+\frac{7277}{1166886}}{x^4+\frac{3\,x^3}{2}+\frac{x^2}{3}-\frac{10\,x}{27}-\frac{4}{27}}","Not used",1,"(2728*atanh((12*x)/7 + 1/7))/16807 - ((66329*x)/1166886 + (5797*x^2)/43218 + (682*x^3)/7203 + 7277/1166886)/(x^2/3 - (10*x)/27 + (3*x^3)/2 + x^4 - 4/27)","B"
1567,1,57,76,1.128869,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^5),x)","\frac{8360\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}+\frac{\frac{2090\,x^4}{50421}+\frac{26125\,x^3}{302526}+\frac{287375\,x^2}{5445468}+\frac{86495\,x}{16336404}-\frac{83327}{32672808}}{-x^5-\frac{13\,x^4}{6}-\frac{4\,x^3}{3}+\frac{4\,x^2}{27}+\frac{32\,x}{81}+\frac{8}{81}}","Not used",1,"(8360*atanh((12*x)/7 + 1/7))/117649 + ((86495*x)/16336404 + (287375*x^2)/5445468 + (26125*x^3)/302526 + (2090*x^4)/50421 - 83327/32672808)/((32*x)/81 + (4*x^2)/27 - (4*x^3)/3 - (13*x^4)/6 - x^5 + 8/81)","B"
1568,1,66,87,1.112813,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^6),x)","\frac{22528\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{5632\,x^5}{352947}+\frac{15488\,x^4}{352947}+\frac{404800\,x^3}{9529569}+\frac{374704\,x^2}{28588707}-\frac{1530877\,x}{571774140}-\frac{228311}{142943535}}{x^6+\frac{17\,x^5}{6}+\frac{25\,x^4}{9}+\frac{20\,x^3}{27}-\frac{40\,x^2}{81}-\frac{88\,x}{243}-\frac{16}{243}}","Not used",1,"(22528*atanh((12*x)/7 + 1/7))/823543 - ((374704*x^2)/28588707 - (1530877*x)/571774140 + (404800*x^3)/9529569 + (15488*x^4)/352947 + (5632*x^5)/352947 - 228311/142943535)/((20*x^3)/27 - (40*x^2)/81 - (88*x)/243 + (25*x^4)/9 + (17*x^5)/6 + x^6 - 16/243)","B"
1569,1,71,98,1.085180,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^7),x)","\frac{8096\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{2024\,x^6}{352947}+\frac{20746\,x^5}{1058841}+\frac{245663\,x^4}{9529569}+\frac{567479\,x^3}{38118276}+\frac{595309\,x^2}{381182760}-\frac{7609292\,x}{3859475445}-\frac{9489539}{15437901780}}{x^7+\frac{7\,x^6}{2}+\frac{14\,x^5}{3}+\frac{70\,x^4}{27}-\frac{56\,x^2}{81}-\frac{224\,x}{729}-\frac{32}{729}}","Not used",1,"(8096*atanh((12*x)/7 + 1/7))/823543 - ((595309*x^2)/381182760 - (7609292*x)/3859475445 + (567479*x^3)/38118276 + (245663*x^4)/9529569 + (20746*x^5)/1058841 + (2024*x^6)/352947 - 9489539/15437901780)/((70*x^4)/27 - (56*x^2)/81 - (224*x)/729 + (14*x^5)/3 + (7*x^6)/2 + x^7 - 32/729)","B"
1570,1,86,109,0.051002,"\text{Not used}","int((5*x + 3)^2/((2*x - 1)^2*(3*x + 2)^8),x)","\frac{136576\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{40353607}-\frac{\frac{34144\,x^7}{17294403}+\frac{8536\,x^6}{1058841}+\frac{892012\,x^5}{66706983}+\frac{2209757\,x^4}{200120949}+\frac{7913939\,x^3}{2001209490}-\frac{581515\,x^2}{1200725694}-\frac{46716629\,x}{54032656230}-\frac{76539293}{378228593610}}{x^8+\frac{25\,x^7}{6}+7\,x^6+\frac{154\,x^5}{27}+\frac{140\,x^4}{81}-\frac{56\,x^3}{81}-\frac{560\,x^2}{729}-\frac{544\,x}{2187}-\frac{64}{2187}}","Not used",1,"(136576*atanh((12*x)/7 + 1/7))/40353607 - ((7913939*x^3)/2001209490 - (581515*x^2)/1200725694 - (46716629*x)/54032656230 + (2209757*x^4)/200120949 + (892012*x^5)/66706983 + (8536*x^6)/1058841 + (34144*x^7)/17294403 - 76539293/378228593610)/((140*x^4)/81 - (560*x^2)/729 - (56*x^3)/81 - (544*x)/2187 + (154*x^5)/27 + 7*x^6 + (25*x^7)/6 + x^8 - 64/2187)","B"
1571,1,64,90,0.070970,"\text{Not used}","int(((3*x + 2)^8*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{7277894263\,x}{512}+\frac{36770371407\,\ln\left(x-\frac{1}{2}\right)}{4096}-\frac{7672950131}{8192\,\left(x-\frac{1}{2}\right)}+\frac{21573106793\,x^2}{2048}+\frac{2416569641\,x^3}{256}+\frac{8502681987\,x^4}{1024}+\frac{260574273\,x^5}{40}+\frac{544462047\,x^6}{128}+\frac{242570133\,x^7}{112}+\frac{101721015\,x^8}{128}+\frac{370575\,x^9}{2}+\frac{164025\,x^{10}}{8}","Not used",1,"(7277894263*x)/512 + (36770371407*log(x - 1/2))/4096 - 7672950131/(8192*(x - 1/2)) + (21573106793*x^2)/2048 + (2416569641*x^3)/256 + (8502681987*x^4)/1024 + (260574273*x^5)/40 + (544462047*x^6)/128 + (242570133*x^7)/112 + (101721015*x^8)/128 + (370575*x^9)/2 + (164025*x^10)/8","B"
1572,1,59,83,0.058278,"\text{Not used}","int(((3*x + 2)^7*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{3690540955\,x}{1024}+\frac{298946109\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{1096135733}{4096\,\left(x-\frac{1}{2}\right)}+\frac{1312685491\,x^2}{512}+\frac{551942075\,x^3}{256}+\frac{220950207\,x^4}{128}+\frac{379446471\,x^5}{320}+\frac{20626947\,x^6}{32}+\frac{28463805\,x^7}{112}+\frac{127575\,x^8}{2}+\frac{30375\,x^9}{4}","Not used",1,"(3690540955*x)/1024 + (298946109*log(x - 1/2))/128 - 1096135733/(4096*(x - 1/2)) + (1312685491*x^2)/512 + (551942075*x^3)/256 + (220950207*x^4)/128 + (379446471*x^5)/320 + (20626947*x^6)/32 + (28463805*x^7)/112 + (127575*x^8)/2 + (30375*x^9)/4","B"
1573,1,54,76,0.048537,"\text{Not used}","int(((3*x + 2)^6*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{230244479\,x}{256}+\frac{616195041\,\ln\left(x-\frac{1}{2}\right)}{1024}-\frac{156590819}{2048\,\left(x-\frac{1}{2}\right)}+\frac{310976027\,x^2}{512}+\frac{7530189\,x^3}{16}+\frac{85406805\,x^4}{256}+\frac{15403257\,x^5}{80}+\frac{2611845\,x^6}{32}+\frac{309825\,x^7}{14}+\frac{91125\,x^8}{32}","Not used",1,"(230244479*x)/256 + (616195041*log(x - 1/2))/1024 - 156590819/(2048*(x - 1/2)) + (310976027*x^2)/512 + (7530189*x^3)/16 + (85406805*x^4)/256 + (15403257*x^5)/80 + (2611845*x^6)/32 + (309825*x^7)/14 + (91125*x^8)/32","B"
1574,1,49,69,0.039171,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{56291737\,x}{256}+\frac{39220335\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{22370117}{1024\,\left(x-\frac{1}{2}\right)}+\frac{8881301\,x^2}{64}+\frac{6179077\,x^3}{64}+\frac{3724389\,x^4}{64}+\frac{423009\,x^5}{16}+\frac{15525\,x^6}{2}+\frac{30375\,x^7}{28}","Not used",1,"(56291737*x)/256 + (39220335*log(x - 1/2))/256 - 22370117/(1024*(x - 1/2)) + (8881301*x^2)/64 + (6179077*x^3)/64 + (3724389*x^4)/64 + (423009*x^5)/16 + (15525*x^6)/2 + (30375*x^7)/28","B"
1575,1,44,62,0.035040,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{209243\,x}{4}+\frac{9836211\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{3195731}{512\,\left(x-\frac{1}{2}\right)}+\frac{3859469\,x^2}{128}+\frac{289951\,x^3}{16}+\frac{557415\,x^4}{64}+\frac{5535\,x^5}{2}+\frac{3375\,x^6}{8}","Not used",1,"(209243*x)/4 + (9836211*log(x - 1/2))/256 - 3195731/(512*(x - 1/2)) + (3859469*x^2)/128 + (289951*x^3)/16 + (557415*x^4)/64 + (5535*x^5)/2 + (3375*x^6)/8","B"
1576,1,39,55,0.030577,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{766807\,x}{64}+\frac{302379\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{456533}{256\,\left(x-\frac{1}{2}\right)}+\frac{194881\,x^2}{32}+\frac{47535\,x^3}{16}+\frac{2025\,x^4}{2}+\frac{675\,x^5}{4}","Not used",1,"(766807*x)/64 + (302379*log(x - 1/2))/32 - 456533/(256*(x - 1/2)) + (194881*x^2)/32 + (47535*x^3)/16 + (2025*x^4)/2 + (675*x^5)/4","B"
1577,1,34,48,0.027522,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{41537\,x}{16}+\frac{144837\,\ln\left(x-\frac{1}{2}\right)}{64}-\frac{65219}{128\,\left(x-\frac{1}{2}\right)}+\frac{35135\,x^2}{32}+\frac{775\,x^3}{2}+\frac{1125\,x^4}{16}","Not used",1,"(41537*x)/16 + (144837*log(x - 1/2))/64 - 65219/(128*(x - 1/2)) + (35135*x^2)/32 + (775*x^3)/2 + (1125*x^4)/16","B"
1578,1,29,41,0.026305,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^3)/(2*x - 1)^2,x)","\frac{8245\,x}{16}+\frac{8349\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{9317}{64\,\left(x-\frac{1}{2}\right)}+\frac{325\,x^2}{2}+\frac{125\,x^3}{4}","Not used",1,"(8245*x)/16 + (8349*log(x - 1/2))/16 - 9317/(64*(x - 1/2)) + (325*x^2)/2 + (125*x^3)/4","B"
1579,1,24,34,0.031954,"\text{Not used}","int((5*x + 3)^3/(2*x - 1)^2,x)","\frac{175\,x}{2}+\frac{1815\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{1331}{32\,\left(x-\frac{1}{2}\right)}+\frac{125\,x^2}{8}","Not used",1,"(175*x)/2 + (1815*log(x - 1/2))/16 - 1331/(32*(x - 1/2)) + (125*x^2)/8","B"
1580,1,25,37,1.077111,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)),x)","\frac{125\,x}{12}+\frac{1089\,\ln\left(x-\frac{1}{2}\right)}{49}-\frac{\ln\left(x+\frac{2}{3}\right)}{441}-\frac{1331}{112\,\left(x-\frac{1}{2}\right)}","Not used",1,"(125*x)/12 + (1089*log(x - 1/2))/49 - log(x + 2/3)/441 - 1331/(112*(x - 1/2))","B"
1581,1,30,43,0.054053,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^2),x)","\frac{4719\,\ln\left(x-\frac{1}{2}\right)}{1372}+\frac{101\,\ln\left(x+\frac{2}{3}\right)}{3087}-\frac{\frac{35929\,x}{10584}+\frac{11981}{5292}}{x^2+\frac{x}{6}-\frac{1}{3}}","Not used",1,"(4719*log(x - 1/2))/1372 + (101*log(x + 2/3))/3087 - ((35929*x)/10584 + 11981/5292)/(x/6 + x^2 - 1/3)","B"
1582,1,37,54,1.101925,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^3),x)","\frac{\frac{36341\,x^2}{37044}+\frac{35984\,x}{27783}+\frac{47519}{111132}}{-x^3-\frac{5\,x^2}{6}+\frac{2\,x}{9}+\frac{2}{9}}-\frac{726\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}","Not used",1,"((35984*x)/27783 + (36341*x^2)/37044 + 47519/111132)/((2*x)/9 - (5*x^2)/6 - x^3 + 2/9) - (726*atanh((12*x)/7 + 1/7))/2401","B"
1583,1,46,65,1.181484,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^4),x)","\frac{6534\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}-\frac{\frac{1089\,x^3}{4802}+\frac{99997\,x^2}{194481}+\frac{2667797\,x}{7001316}+\frac{162314}{1750329}}{x^4+\frac{3\,x^3}{2}+\frac{x^2}{3}-\frac{10\,x}{27}-\frac{4}{27}}","Not used",1,"(6534*atanh((12*x)/7 + 1/7))/16807 - ((2667797*x)/7001316 + (99997*x^2)/194481 + (1089*x^3)/4802 + 162314/1750329)/(x^2/3 - (10*x)/27 + (3*x^3)/2 + x^4 - 4/27)","B"
1584,1,57,76,1.101305,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^5),x)","\frac{29040\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}+\frac{\frac{2420\,x^4}{16807}+\frac{15125\,x^3}{50421}+\frac{11085125\,x^2}{49009212}+\frac{10554745\,x}{147027636}+\frac{2287541}{294055272}}{-x^5-\frac{13\,x^4}{6}-\frac{4\,x^3}{3}+\frac{4\,x^2}{27}+\frac{32\,x}{81}+\frac{8}{81}}","Not used",1,"(29040*atanh((12*x)/7 + 1/7))/117649 + ((10554745*x)/147027636 + (11085125*x^2)/49009212 + (15125*x^3)/50421 + (2420*x^4)/16807 + 2287541/294055272)/((32*x)/81 + (4*x^2)/27 - (4*x^3)/3 - (13*x^4)/6 - x^5 + 8/81)","B"
1585,1,66,87,0.042837,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^6),x)","\frac{90024\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{7502\,x^5}{117649}+\frac{41261\,x^4}{235298}+\frac{2156825\,x^3}{12706092}+\frac{21644759\,x^2}{343064484}+\frac{25985087\,x}{10291934520}-\frac{11842493}{5145967260}}{x^6+\frac{17\,x^5}{6}+\frac{25\,x^4}{9}+\frac{20\,x^3}{27}-\frac{40\,x^2}{81}-\frac{88\,x}{243}-\frac{16}{243}}","Not used",1,"(90024*atanh((12*x)/7 + 1/7))/823543 - ((25985087*x)/10291934520 + (21644759*x^2)/343064484 + (2156825*x^3)/12706092 + (41261*x^4)/235298 + (7502*x^5)/117649 - 11842493/5145967260)/((20*x^3)/27 - (40*x^2)/81 - (88*x)/243 + (25*x^4)/9 + (17*x^5)/6 + x^6 - 16/243)","B"
1586,1,71,98,1.068595,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^7),x)","\frac{34848\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{2904\,x^6}{117649}+\frac{9922\,x^5}{117649}+\frac{117491\,x^4}{1058841}+\frac{271403\,x^3}{4235364}+\frac{98597509\,x^2}{10291934520}-\frac{115314851\,x}{23156852670}-\frac{72702421}{46313705340}}{x^7+\frac{7\,x^6}{2}+\frac{14\,x^5}{3}+\frac{70\,x^4}{27}-\frac{56\,x^2}{81}-\frac{224\,x}{729}-\frac{32}{729}}","Not used",1,"(34848*atanh((12*x)/7 + 1/7))/823543 - ((98597509*x^2)/10291934520 - (115314851*x)/23156852670 + (271403*x^3)/4235364 + (117491*x^4)/1058841 + (9922*x^5)/117649 + (2904*x^6)/117649 - 72702421/46313705340)/((70*x^4)/27 - (56*x^2)/81 - (224*x)/729 + (14*x^5)/3 + (7*x^6)/2 + x^7 - 32/729)","B"
1587,1,86,109,0.047994,"\text{Not used}","int((5*x + 3)^3/((2*x - 1)^2*(3*x + 2)^8),x)","\frac{615648\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{40353607}-\frac{\frac{51304\,x^7}{5764801}+\frac{12826\,x^6}{352947}+\frac{1340317\,x^5}{22235661}+\frac{13281323\,x^4}{266827932}+\frac{47565221\,x^3}{2668279320}-\frac{90079505\,x^2}{64839187476}-\frac{2846703581\,x}{972587812140}-\frac{1047659588}{1702028671245}}{x^8+\frac{25\,x^7}{6}+7\,x^6+\frac{154\,x^5}{27}+\frac{140\,x^4}{81}-\frac{56\,x^3}{81}-\frac{560\,x^2}{729}-\frac{544\,x}{2187}-\frac{64}{2187}}","Not used",1,"(615648*atanh((12*x)/7 + 1/7))/40353607 - ((47565221*x^3)/2668279320 - (90079505*x^2)/64839187476 - (2846703581*x)/972587812140 + (13281323*x^4)/266827932 + (1340317*x^5)/22235661 + (12826*x^6)/352947 + (51304*x^7)/5764801 - 1047659588/1702028671245)/((140*x^4)/81 - (560*x^2)/729 - (56*x^3)/81 - (544*x)/2187 + (154*x^5)/27 + 7*x^6 + (25*x^7)/6 + x^8 - 64/2187)","B"
1588,1,50,72,1.092046,"\text{Not used}","int((3*x + 2)^8/((2*x - 1)^2*(5*x + 3)),x)","\frac{2041906293\,x}{250000}+\frac{188591347\,\ln\left(x-\frac{1}{2}\right)}{30976}+\frac{\ln\left(x+\frac{3}{5}\right)}{9453125}-\frac{5764801}{5632\,\left(x-\frac{1}{2}\right)}+\frac{1839811401\,x^2}{400000}+\frac{26773659\,x^3}{10000}+\frac{9899091\,x^4}{8000}+\frac{94041\,x^5}{250}+\frac{2187\,x^6}{40}","Not used",1,"(2041906293*x)/250000 + (188591347*log(x - 1/2))/30976 + log(x + 3/5)/9453125 - 5764801/(5632*(x - 1/2)) + (1839811401*x^2)/400000 + (26773659*x^3)/10000 + (9899091*x^4)/8000 + (94041*x^5)/250 + (2187*x^6)/40","B"
1589,1,45,65,1.076310,"\text{Not used}","int((3*x + 2)^7/((2*x - 1)^2*(5*x + 3)),x)","\frac{370109547\,x}{200000}+\frac{5764801\,\ln\left(x-\frac{1}{2}\right)}{3872}+\frac{\ln\left(x+\frac{3}{5}\right)}{1890625}-\frac{823543}{2816\,\left(x-\frac{1}{2}\right)}+\frac{18237069\,x^2}{20000}+\frac{853659\,x^3}{2000}+\frac{13851\,x^4}{100}+\frac{2187\,x^5}{100}","Not used",1,"(370109547*x)/200000 + (5764801*log(x - 1/2))/3872 + log(x + 3/5)/1890625 - 823543/(2816*(x - 1/2)) + (18237069*x^2)/20000 + (853659*x^3)/2000 + (13851*x^4)/100 + (2187*x^5)/100","B"
1590,1,40,58,0.040231,"\text{Not used}","int((3*x + 2)^6/((2*x - 1)^2*(5*x + 3)),x)","\frac{3946293\,x}{10000}+\frac{2739541\,\ln\left(x-\frac{1}{2}\right)}{7744}+\frac{\ln\left(x+\frac{3}{5}\right)}{378125}-\frac{117649}{1408\,\left(x-\frac{1}{2}\right)}+\frac{639819\,x^2}{4000}+\frac{2673\,x^3}{50}+\frac{729\,x^4}{80}","Not used",1,"(3946293*x)/10000 + (2739541*log(x - 1/2))/7744 + log(x + 3/5)/378125 - 117649/(1408*(x - 1/2)) + (639819*x^2)/4000 + (2673*x^3)/50 + (729*x^4)/80","B"
1591,1,35,51,0.038869,"\text{Not used}","int((3*x + 2)^5/((2*x - 1)^2*(5*x + 3)),x)","\frac{152793\,x}{2000}+\frac{156065\,\ln\left(x-\frac{1}{2}\right)}{1936}+\frac{\ln\left(x+\frac{3}{5}\right)}{75625}-\frac{16807}{704\,\left(x-\frac{1}{2}\right)}+\frac{567\,x^2}{25}+\frac{81\,x^3}{20}","Not used",1,"(152793*x)/2000 + (156065*log(x - 1/2))/1936 + log(x + 3/5)/75625 - 16807/(704*(x - 1/2)) + (567*x^2)/25 + (81*x^3)/20","B"
1592,1,30,44,1.087638,"\text{Not used}","int((3*x + 2)^4/((2*x - 1)^2*(5*x + 3)),x)","\frac{621\,x}{50}+\frac{33271\,\ln\left(x-\frac{1}{2}\right)}{1936}+\frac{\ln\left(x+\frac{3}{5}\right)}{15125}-\frac{2401}{352\,\left(x-\frac{1}{2}\right)}+\frac{81\,x^2}{40}","Not used",1,"(621*x)/50 + (33271*log(x - 1/2))/1936 + log(x + 3/5)/15125 - 2401/(352*(x - 1/2)) + (81*x^2)/40","B"
1593,1,25,37,0.038106,"\text{Not used}","int((3*x + 2)^3/((2*x - 1)^2*(5*x + 3)),x)","\frac{27\,x}{20}+\frac{392\,\ln\left(x-\frac{1}{2}\right)}{121}+\frac{\ln\left(x+\frac{3}{5}\right)}{3025}-\frac{343}{176\,\left(x-\frac{1}{2}\right)}","Not used",1,"(27*x)/20 + (392*log(x - 1/2))/121 + log(x + 3/5)/3025 - 343/(176*(x - 1/2))","B"
1594,1,22,32,0.075952,"\text{Not used}","int((3*x + 2)^2/((2*x - 1)^2*(5*x + 3)),x)","\frac{217\,\ln\left(x-\frac{1}{2}\right)}{484}+\frac{\ln\left(x+\frac{3}{5}\right)}{605}-\frac{49}{88\,\left(x-\frac{1}{2}\right)}","Not used",1,"(217*log(x - 1/2))/484 + log(x + 3/5)/605 - 49/(88*(x - 1/2))","B"
1595,1,18,32,1.065443,"\text{Not used}","int((3*x + 2)/((2*x - 1)^2*(5*x + 3)),x)","\frac{2\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{121}-\frac{7}{44\,\left(x-\frac{1}{2}\right)}","Not used",1,"(2*atanh((20*x)/11 + 1/11))/121 - 7/(44*(x - 1/2))","B"
1596,1,26,32,1.087843,"\text{Not used}","int(1/((2*x - 1)^2*(5*x + 3)),x)","-\frac{5\,\ln\left(\frac{2\,x-1}{5\,x+3}\right)}{121}-\frac{1}{11\,\left(2\,x-1\right)}","Not used",1,"- (5*log((2*x - 1)/(5*x + 3)))/121 - 1/(11*(2*x - 1))","B"
1597,1,28,42,1.075598,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)*(5*x + 3)),x)","\frac{25\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{9\,\ln\left(x+\frac{2}{3}\right)}{49}-\frac{136\,\ln\left(x-\frac{1}{2}\right)}{5929}-\frac{1}{77\,\left(x-\frac{1}{2}\right)}","Not used",1,"(25*log(x + 3/5))/121 - (9*log(x + 2/3))/49 - (136*log(x - 1/2))/5929 - 1/(77*(x - 1/2))","B"
1598,1,35,53,0.041686,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^2*(5*x + 3)),x)","\frac{125\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{351\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{404\,\ln\left(x-\frac{1}{2}\right)}{41503}+\frac{\frac{31\,x}{539}-\frac{107}{3234}}{x^2+\frac{x}{6}-\frac{1}{3}}","Not used",1,"(125*log(x + 3/5))/121 - (351*log(x + 2/3))/343 - (404*log(x - 1/2))/41503 + ((31*x)/539 - 107/3234)/(x/6 + x^2 - 1/3)","B"
1599,1,48,64,1.070186,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^3*(5*x + 3)),x)","\frac{625\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{12393\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{1072\,\ln\left(x-\frac{1}{2}\right)}{290521}-\frac{\frac{1283\,x^2}{3773}+\frac{743\,x}{11319}-\frac{16201}{135828}}{-x^3-\frac{5\,x^2}{6}+\frac{2\,x}{9}+\frac{2}{9}}","Not used",1,"(625*log(x + 3/5))/121 - (12393*log(x + 2/3))/2401 - (1072*log(x - 1/2))/290521 - ((743*x)/11319 + (1283*x^2)/3773 - 16201/135828)/((2*x)/9 - (5*x^2)/6 - x^3 + 2/9)","B"
1600,1,56,75,0.043804,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^4*(5*x + 3)),x)","\frac{3125\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{434043\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{2672\,\ln\left(x-\frac{1}{2}\right)}{2033647}-\frac{-\frac{45433\,x^3}{26411}-\frac{39353\,x^2}{26411}+\frac{352747\,x}{950796}+\frac{287032}{713097}}{x^4+\frac{3\,x^3}{2}+\frac{x^2}{3}-\frac{10\,x}{27}-\frac{4}{27}}","Not used",1,"(3125*log(x + 3/5))/121 - (434043*log(x + 2/3))/16807 - (2672*log(x - 1/2))/2033647 - ((352747*x)/950796 - (39353*x^2)/26411 - (45433*x^3)/26411 + 287032/713097)/(x^2/3 - (10*x)/27 + (3*x^3)/2 + x^4 - 4/27)","B"
1601,1,68,86,1.089818,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^5*(5*x + 3)),x)","\frac{15625\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{15192225\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{6400\,\ln\left(x-\frac{1}{2}\right)}{14235529}-\frac{\frac{1591475\,x^4}{184877}+\frac{7320625\,x^3}{554631}+\frac{2307875\,x^2}{739508}-\frac{64880675\,x}{19966716}-\frac{160957733}{119800296}}{-x^5-\frac{13\,x^4}{6}-\frac{4\,x^3}{3}+\frac{4\,x^2}{27}+\frac{32\,x}{81}+\frac{8}{81}}","Not used",1,"(15625*log(x + 3/5))/121 - (15192225*log(x + 2/3))/117649 - (6400*log(x - 1/2))/14235529 - ((2307875*x^2)/739508 - (64880675*x)/19966716 + (7320625*x^3)/554631 + (1591475*x^4)/184877 - 160957733/119800296)/((32*x)/81 + (4*x^2)/27 - (4*x^3)/3 - (13*x^4)/6 - x^5 + 8/81)","B"
1602,1,76,97,1.090980,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^6*(5*x + 3)),x)","\frac{78125\,\ln\left(x+\frac{3}{5}\right)}{121}-\frac{531729603\,\ln\left(x+\frac{2}{3}\right)}{823543}-\frac{14912\,\ln\left(x-\frac{1}{2}\right)}{99648703}-\frac{-\frac{55704793\,x^5}{1294139}-\frac{367651261\,x^4}{3882417}-\frac{2777059225\,x^3}{46589004}+\frac{816581347\,x^2}{139767012}+\frac{73586900971\,x}{4193010360}+\frac{28171350293}{6289515540}}{x^6+\frac{17\,x^5}{6}+\frac{25\,x^4}{9}+\frac{20\,x^3}{27}-\frac{40\,x^2}{81}-\frac{88\,x}{243}-\frac{16}{243}}","Not used",1,"(78125*log(x + 3/5))/121 - (531729603*log(x + 2/3))/823543 - (14912*log(x - 1/2))/99648703 - ((73586900971*x)/4193010360 + (816581347*x^2)/139767012 - (2777059225*x^3)/46589004 - (367651261*x^4)/3882417 - (55704793*x^5)/1294139 + 28171350293/6289515540)/((20*x^3)/27 - (40*x^2)/81 - (88*x)/243 + (25*x^4)/9 + (17*x^5)/6 + x^6 - 16/243)","B"
1603,1,53,76,0.045351,"\text{Not used}","int((3*x + 2)^8/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{231915717\,x}{200000}+\frac{79883671\,\ln\left(x-\frac{1}{2}\right)}{85184}+\frac{268\,\ln\left(x+\frac{3}{5}\right)}{103984375}-\frac{\frac{2251875390881\,x}{12100000000}+\frac{1351125234247}{12100000000}}{x^2+\frac{x}{10}-\frac{3}{10}}+\frac{14171517\,x^2}{25000}+\frac{2626101\,x^3}{10000}+\frac{168399\,x^4}{2000}+\frac{6561\,x^5}{500}","Not used",1,"(231915717*x)/200000 + (79883671*log(x - 1/2))/85184 + (268*log(x + 3/5))/103984375 - ((2251875390881*x)/12100000000 + 1351125234247/12100000000)/(x/10 + x^2 - 3/10) + (14171517*x^2)/25000 + (2626101*x^3)/10000 + (168399*x^4)/2000 + (6561*x^5)/500","B"
1604,1,48,69,0.042599,"\text{Not used}","int((3*x + 2)^7/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{6156243\,x}{25000}+\frac{18941489\,\ln\left(x-\frac{1}{2}\right)}{85184}+\frac{47\,\ln\left(x+\frac{3}{5}\right)}{4159375}-\frac{\frac{64339297003\,x}{1210000000}+\frac{38603578061}{1210000000}}{x^2+\frac{x}{10}-\frac{3}{10}}+\frac{1974861\,x^2}{20000}+\frac{16281\,x^3}{500}+\frac{2187\,x^4}{400}","Not used",1,"(6156243*x)/25000 + (18941489*log(x - 1/2))/85184 + (47*log(x + 3/5))/4159375 - ((64339297003*x)/1210000000 + 38603578061/1210000000)/(x/10 + x^2 - 3/10) + (1974861*x^2)/20000 + (16281*x^3)/500 + (2187*x^4)/400","B"
1605,1,43,62,0.038724,"\text{Not used}","int((3*x + 2)^6/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{473607\,x}{10000}+\frac{67228\,\ln\left(x-\frac{1}{2}\right)}{1331}+\frac{202\,\ln\left(x+\frac{3}{5}\right)}{4159375}-\frac{\frac{1838265689\,x}{121000000}+\frac{1102959343}{121000000}}{x^2+\frac{x}{10}-\frac{3}{10}}+\frac{13851\,x^2}{1000}+\frac{243\,x^3}{100}","Not used",1,"(473607*x)/10000 + (67228*log(x - 1/2))/1331 + (202*log(x + 3/5))/4159375 - ((1838265689*x)/121000000 + 1102959343/121000000)/(x/10 + x^2 - 3/10) + (13851*x^2)/1000 + (243*x^3)/100","B"
1606,1,38,55,0.036466,"\text{Not used}","int((3*x + 2)^5/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{3807\,x}{500}+\frac{228095\,\ln\left(x-\frac{1}{2}\right)}{21296}+\frac{169\,\ln\left(x+\frac{3}{5}\right)}{831875}-\frac{\frac{52521907\,x}{12100000}+\frac{31513109}{12100000}}{x^2+\frac{x}{10}-\frac{3}{10}}+\frac{243\,x^2}{200}","Not used",1,"(3807*x)/500 + (228095*log(x - 1/2))/21296 + (169*log(x + 3/5))/831875 - ((52521907*x)/12100000 + 31513109/12100000)/(x/10 + x^2 - 3/10) + (243*x^2)/200","B"
1607,1,33,48,1.070798,"\text{Not used}","int((3*x + 2)^4/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{81\,x}{100}+\frac{10633\,\ln\left(x-\frac{1}{2}\right)}{5324}+\frac{136\,\ln\left(x+\frac{3}{5}\right)}{166375}-\frac{\frac{1500641\,x}{1210000}+\frac{900367}{1210000}}{x^2+\frac{x}{10}-\frac{3}{10}}","Not used",1,"(81*x)/100 + (10633*log(x - 1/2))/5324 + (136*log(x + 3/5))/166375 - ((1500641*x)/1210000 + 900367/1210000)/(x/10 + x^2 - 3/10)","B"
1608,1,30,43,1.135820,"\text{Not used}","int((3*x + 2)^3/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{1421\,\ln\left(x-\frac{1}{2}\right)}{5324}+\frac{103\,\ln\left(x+\frac{3}{5}\right)}{33275}-\frac{\frac{42883\,x}{121000}+\frac{25721}{121000}}{x^2+\frac{x}{10}-\frac{3}{10}}","Not used",1,"(1421*log(x - 1/2))/5324 + (103*log(x + 3/5))/33275 - ((42883*x)/121000 + 25721/121000)/(x/10 + x^2 - 3/10)","B"
1609,1,26,43,0.037970,"\text{Not used}","int((3*x + 2)^2/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{28\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{1229\,x}{12100}+\frac{733}{12100}}{x^2+\frac{x}{10}-\frac{3}{10}}","Not used",1,"(28*atanh((20*x)/11 + 1/11))/1331 - ((1229*x)/12100 + 733/12100)/(x/10 + x^2 - 3/10)","B"
1610,1,26,43,0.038679,"\text{Not used}","int((3*x + 2)/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{74\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{37\,x}{1210}+\frac{2}{121}}{x^2+\frac{x}{10}-\frac{3}{10}}","Not used",1,"(74*atanh((20*x)/11 + 1/11))/1331 - ((37*x)/1210 + 2/121)/(x/10 + x^2 - 3/10)","B"
1611,1,42,43,0.053710,"\text{Not used}","int(1/((2*x - 1)^2*(5*x + 3)^2),x)","\frac{20\,\ln\left(\frac{5\,x+3}{2\,x-1}\right)}{1331}-\frac{1}{11\,\left(2\,x-1\right)\,\left(5\,x+3\right)}-\frac{10}{121\,\left(5\,x+3\right)}","Not used",1,"(20*log((5*x + 3)/(2*x - 1)))/1331 - 1/(11*(2*x - 1)*(5*x + 3)) - 10/(121*(5*x + 3))","B"
1612,1,36,53,0.042399,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)*(5*x + 3)^2),x)","\frac{27\,\ln\left(x+\frac{2}{3}\right)}{49}-\frac{412\,\ln\left(x-\frac{1}{2}\right)}{65219}-\frac{725\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{\frac{37\,x}{847}-\frac{163}{8470}}{x^2+\frac{x}{10}-\frac{3}{10}}","Not used",1,"(27*log(x + 2/3))/49 - (412*log(x - 1/2))/65219 - (725*log(x + 3/5))/1331 - ((37*x)/847 - 163/8470)/(x/10 + x^2 - 3/10)","B"
1613,1,47,64,0.042190,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^2*(5*x + 3)^2),x)","\frac{1998\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{1088\,\ln\left(x-\frac{1}{2}\right)}{456533}-\frac{7750\,\ln\left(x+\frac{3}{5}\right)}{1331}+\frac{\frac{2318\,x^2}{5929}+\frac{4772\,x}{88935}-\frac{22003}{177870}}{-x^3-\frac{23\,x^2}{30}+\frac{7\,x}{30}+\frac{1}{5}}","Not used",1,"(1998*log(x + 2/3))/343 - (1088*log(x - 1/2))/456533 - (7750*log(x + 3/5))/1331 + ((4772*x)/88935 + (2318*x^2)/5929 - 22003/177870)/((7*x)/30 - (23*x^2)/30 - x^3 + 1/5)","B"
1614,1,55,75,0.043481,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^3*(5*x + 3)^2),x)","\frac{107109\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{2704\,\ln\left(x-\frac{1}{2}\right)}{3195731}-\frac{59375\,\ln\left(x+\frac{3}{5}\right)}{1331}+\frac{-\frac{123469\,x^3}{41503}-\frac{1481966\,x^2}{622545}+\frac{724993\,x}{1067220}+\frac{4684319}{7470540}}{x^4+\frac{43\,x^3}{30}+\frac{5\,x^2}{18}-\frac{16\,x}{45}-\frac{2}{15}}","Not used",1,"(107109*log(x + 2/3))/2401 - (2704*log(x - 1/2))/3195731 - (59375*log(x + 3/5))/1331 + ((724993*x)/1067220 - (1481966*x^2)/622545 - (123469*x^3)/41503 + 4684319/7470540)/((5*x^2)/18 - (16*x)/45 + (43*x^3)/30 + x^4 - 2/15)","B"
1615,1,67,86,1.065659,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^4*(5*x + 3)^2),x)","\frac{5050944\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{6464\,\ln\left(x-\frac{1}{2}\right)}{22370117}-\frac{400000\,\ln\left(x+\frac{3}{5}\right)}{1331}+\frac{\frac{5820704\,x^4}{290521}+\frac{42685432\,x^3}{1452605}+\frac{8871612\,x^2}{1452605}-\frac{285326761\,x}{39220335}-\frac{220783501}{78440670}}{-x^5-\frac{21\,x^4}{10}-\frac{37\,x^3}{30}+\frac{23\,x^2}{135}+\frac{10\,x}{27}+\frac{4}{45}}","Not used",1,"(5050944*log(x + 2/3))/16807 - (6464*log(x - 1/2))/22370117 - (400000*log(x + 3/5))/1331 + ((8871612*x^2)/1452605 - (285326761*x)/39220335 + (42685432*x^3)/1452605 + (5820704*x^4)/290521 - 220783501/78440670)/((10*x)/27 + (23*x^2)/135 - (37*x^3)/30 - (21*x^4)/10 - x^5 + 4/45)","B"
1616,1,75,97,1.084624,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^5*(5*x + 3)^2),x)","\frac{222359715\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{15040\,\ln\left(x-\frac{1}{2}\right)}{156590819}-\frac{2515625\,\ln\left(x+\frac{3}{5}\right)}{1331}+\frac{-\frac{256243315\,x^5}{2033647}-\frac{234279656\,x^4}{871563}-\frac{3943872725\,x^3}{24403764}+\frac{1106282290\,x^2}{54908469}+\frac{63521840695\,x}{1317803256}+\frac{77754195847}{6589016280}}{x^6+\frac{83\,x^5}{30}+\frac{79\,x^4}{30}+\frac{88\,x^3}{135}-\frac{196\,x^2}{405}-\frac{136\,x}{405}-\frac{8}{135}}","Not used",1,"(222359715*log(x + 2/3))/117649 - (15040*log(x - 1/2))/156590819 - (2515625*log(x + 3/5))/1331 + ((63521840695*x)/1317803256 + (1106282290*x^2)/54908469 - (3943872725*x^3)/24403764 - (234279656*x^4)/871563 - (256243315*x^5)/2033647 + 77754195847/6589016280)/((88*x^3)/135 - (196*x^2)/405 - (136*x)/405 + (79*x^4)/30 + (83*x^5)/30 + x^6 - 8/135)","B"
1617,1,59,80,1.063704,"\text{Not used}","int((3*x + 2)^8/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{7680987\,x}{50000}+\frac{130943337\,\ln\left(x-\frac{1}{2}\right)}{937024}+\frac{6312\,\ln\left(x+\frac{3}{5}\right)}{228765625}+\frac{\frac{2251875424929\,x^2}{66550000000}+\frac{6755626180803\,x}{166375000000}+\frac{4053375651317}{332750000000}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}+\frac{6093711\,x^2}{100000}+\frac{12393\,x^3}{625}+\frac{6561\,x^4}{2000}","Not used",1,"(7680987*x)/50000 + (130943337*log(x - 1/2))/937024 + (6312*log(x + 3/5))/228765625 + ((6755626180803*x)/166375000000 + (2251875424929*x^2)/66550000000 + 4053375651317/332750000000)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50) + (6093711*x^2)/100000 + (12393*x^3)/625 + (6561*x^4)/2000","B"
1618,1,54,73,0.041432,"\text{Not used}","int((3*x + 2)^7/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{1467477\,x}{50000}+\frac{7411887\,\ln\left(x-\frac{1}{2}\right)}{234256}+\frac{4761\,\ln\left(x+\frac{3}{5}\right)}{45753125}+\frac{\frac{12867862383\,x^2}{1331000000}+\frac{193017894561\,x}{16637500000}+\frac{115810711639}{33275000000}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}+\frac{21141\,x^2}{2500}+\frac{729\,x^3}{500}","Not used",1,"(1467477*x)/50000 + (7411887*log(x - 1/2))/234256 + (4761*log(x + 3/5))/45753125 + ((193017894561*x)/16637500000 + (12867862383*x^2)/1331000000 + 115810711639/33275000000)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50) + (21141*x^2)/2500 + (729*x^3)/500","B"
1619,1,49,66,0.039798,"\text{Not used}","int((3*x + 2)^6/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{2916\,x}{625}+\frac{1563051\,\ln\left(x-\frac{1}{2}\right)}{234256}+\frac{17139\,\ln\left(x+\frac{3}{5}\right)}{45753125}+\frac{\frac{1838272089\,x^2}{665500000}+\frac{5514798579\,x}{1663750000}+\frac{3308868341}{3327500000}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}+\frac{729\,x^2}{1000}","Not used",1,"(2916*x)/625 + (1563051*log(x - 1/2))/234256 + (17139*log(x + 3/5))/45753125 + ((5514798579*x)/1663750000 + (1838272089*x^2)/665500000 + 3308868341/3327500000)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50) + (729*x^2)/1000","B"
1620,1,44,59,1.071594,"\text{Not used}","int((3*x + 2)^5/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{243\,x}{500}+\frac{36015\,\ln\left(x-\frac{1}{2}\right)}{29282}+\frac{11562\,\ln\left(x+\frac{3}{5}\right)}{9150625}+\frac{\frac{52524579\,x^2}{66550000}+\frac{31513269\,x}{33275000}+\frac{3781411}{13310000}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(243*x)/500 + (36015*log(x - 1/2))/29282 + (11562*log(x + 3/5))/9150625 + ((31513269*x)/33275000 + (52524579*x^2)/66550000 + 3781411/13310000)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1621,1,41,54,1.123665,"\text{Not used}","int((3*x + 2)^4/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{9261\,\ln\left(x-\frac{1}{2}\right)}{58564}+\frac{7074\,\ln\left(x+\frac{3}{5}\right)}{1830125}+\frac{\frac{1501713\,x^2}{6655000}+\frac{4502169\,x}{16637500}+\frac{2699471}{33275000}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(9261*log(x - 1/2))/58564 + (7074*log(x + 3/5))/1830125 + ((4502169*x)/16637500 + (1501713*x^2)/6655000 + 2699471/33275000)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1622,1,37,54,1.061168,"\text{Not used}","int((3*x + 2)^3/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{294\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}+\frac{\frac{43287\,x^2}{665500}+\frac{128739\,x}{1663750}+\frac{38273}{1663750}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(294*atanh((20*x)/11 + 1/11))/14641 + ((128739*x)/1663750 + (43287*x^2)/665500 + 38273/1663750)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1623,1,37,54,0.040458,"\text{Not used}","int((3*x + 2)^2/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{546\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}+\frac{\frac{273\,x^2}{13310}+\frac{7431\,x}{332750}+\frac{3979}{665500}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(546*atanh((20*x)/11 + 1/11))/14641 + ((7431*x)/332750 + (273*x^2)/13310 + 3979/665500)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1624,1,37,54,0.040198,"\text{Not used}","int((3*x + 2)/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{288\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}+\frac{\frac{72\,x^2}{6655}+\frac{234\,x}{33275}+\frac{19}{133100}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(288*atanh((20*x)/11 + 1/11))/14641 + ((234*x)/33275 + (72*x^2)/6655 + 19/133100)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1625,1,37,54,1.062389,"\text{Not used}","int(1/((2*x - 1)^2*(5*x + 3)^3),x)","\frac{120\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}+\frac{\frac{6\,x^2}{1331}+\frac{39\,x}{13310}-\frac{103}{133100}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(120*atanh((20*x)/11 + 1/11))/14641 + ((39*x)/13310 + (6*x^2)/1331 - 103/133100)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1626,1,48,64,1.053646,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)*(5*x + 3)^3),x)","\frac{24225\,\ln\left(x+\frac{3}{5}\right)}{14641}-\frac{81\,\ln\left(x+\frac{2}{3}\right)}{49}-\frac{1104\,\ln\left(x-\frac{1}{2}\right)}{717409}-\frac{\frac{1011\,x^2}{9317}+\frac{291\,x}{46585}-\frac{28669}{931700}}{-x^3-\frac{7\,x^2}{10}+\frac{6\,x}{25}+\frac{9}{50}}","Not used",1,"(24225*log(x + 3/5))/14641 - (81*log(x + 2/3))/49 - (1104*log(x - 1/2))/717409 - ((291*x)/46585 + (1011*x^2)/9317 - 28669/931700)/((6*x)/25 - (7*x^2)/10 - x^3 + 9/50)","B"
1627,1,56,75,0.045009,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^2*(5*x + 3)^3),x)","\frac{376875\,\ln\left(x+\frac{3}{5}\right)}{14641}-\frac{8829\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{2736\,\ln\left(x-\frac{1}{2}\right)}{5021863}-\frac{-\frac{111879\,x^3}{65219}-\frac{58587\,x^2}{46585}+\frac{2658041\,x}{6521900}+\frac{1590856}{4891425}}{x^4+\frac{41\,x^3}{30}+\frac{17\,x^2}{75}-\frac{17\,x}{50}-\frac{3}{25}}","Not used",1,"(376875*log(x + 3/5))/14641 - (8829*log(x + 2/3))/343 - (2736*log(x - 1/2))/5021863 - ((2658041*x)/6521900 - (58587*x^2)/46585 - (111879*x^3)/65219 + 1590856/4891425)/((17*x^2)/75 - (17*x)/50 + (41*x^3)/30 + x^4 - 3/25)","B"
1628,1,68,86,1.065878,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^3*(5*x + 3)^3),x)","\frac{3843750\,\ln\left(x+\frac{3}{5}\right)}{14641}-\frac{630342\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{6528\,\ln\left(x-\frac{1}{2}\right)}{35153041}-\frac{\frac{7990242\,x^4}{456533}+\frac{55931422\,x^3}{2282665}+\frac{301397263\,x^2}{68479950}-\frac{138982273\,x}{22826650}-\frac{909187261}{410879700}}{-x^5-\frac{61\,x^4}{30}-\frac{256\,x^3}{225}+\frac{17\,x^2}{90}+\frac{26\,x}{75}+\frac{2}{25}}","Not used",1,"(3843750*log(x + 3/5))/14641 - (630342*log(x + 2/3))/2401 - (6528*log(x - 1/2))/35153041 - ((301397263*x^2)/68479950 - (138982273*x)/22826650 + (55931422*x^3)/2282665 + (7990242*x^4)/456533 - 909187261/410879700)/((26*x)/75 + (17*x^2)/90 - (256*x^3)/225 - (61*x^4)/30 - x^5 + 2/25)","B"
1629,1,76,97,1.068246,"\text{Not used}","int(1/((2*x - 1)^2*(3*x + 2)^4*(5*x + 3)^3),x)","\frac{32418750\,\ln\left(x+\frac{3}{5}\right)}{14641}-\frac{37214802\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{15168\,\ln\left(x-\frac{1}{2}\right)}{246071287}-\frac{-\frac{471741702\,x^5}{3195731}-\frac{4874663622\,x^4}{15978655}-\frac{27946314031\,x^3}{159786550}+\frac{38258338711\,x^2}{1438078950}+\frac{152143426357\,x}{2876157900}+\frac{26839560367}{2157118425}}{x^6+\frac{27\,x^5}{10}+\frac{187\,x^4}{75}+\frac{769\,x^3}{1350}-\frac{319\,x^2}{675}-\frac{14\,x}{45}-\frac{4}{75}}","Not used",1,"(32418750*log(x + 3/5))/14641 - (37214802*log(x + 2/3))/16807 - (15168*log(x - 1/2))/246071287 - ((152143426357*x)/2876157900 + (38258338711*x^2)/1438078950 - (27946314031*x^3)/159786550 - (4874663622*x^4)/15978655 - (471741702*x^5)/3195731 + 26839560367/2157118425)/((769*x^3)/1350 - (319*x^2)/675 - (14*x)/45 + (187*x^4)/75 + (27*x^5)/10 + x^6 - 4/75)","B"
1630,1,56,80,0.041240,"\text{Not used}","int(-((3*x + 2)^8*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{246239357\,x}{2048}-\frac{429065903}{8192}}{x^2-x+\frac{1}{4}}-\frac{106237047\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{120864213\,x}{256}-\frac{118841283\,x^2}{512}-\frac{16042509\,x^3}{128}-\frac{7568235\,x^4}{128}-\frac{213597\,x^5}{10}-\frac{162567\,x^6}{32}-\frac{32805\,x^7}{56}","Not used",1,"((246239357*x)/2048 - 429065903/8192)/(x^2 - x + 1/4) - (106237047*log(x - 1/2))/256 - (120864213*x)/256 - (118841283*x^2)/512 - (16042509*x^3)/128 - (7568235*x^4)/128 - (213597*x^5)/10 - (162567*x^6)/32 - (32805*x^7)/56","B"
1631,1,51,73,0.034978,"\text{Not used}","int(-((3*x + 2)^7*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{15647317\,x}{512}-\frac{53530295}{4096}}{x^2-x+\frac{1}{4}}-\frac{23647449\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{24960933\,x}{256}-\frac{10989621\,x^2}{256}-\frac{631611\,x^3}{32}-\frac{235467\,x^4}{32}-\frac{147987\,x^5}{80}-\frac{3645\,x^6}{16}","Not used",1,"((15647317*x)/512 - 53530295/4096)/(x^2 - x + 1/4) - (23647449*log(x - 1/2))/256 - (24960933*x)/256 - (10989621*x^2)/256 - (631611*x^3)/32 - (235467*x^4)/32 - (147987*x^5)/80 - (3645*x^6)/16","B"
1632,1,46,66,0.032170,"\text{Not used}","int(-((3*x + 2)^6*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{3916031\,x}{512}-\frac{6537923}{2048}}{x^2-x+\frac{1}{4}}-\frac{5078115\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{2431647\,x}{128}-\frac{461835\,x^2}{64}-\frac{10611\,x^3}{4}-\frac{44469\,x^4}{64}-\frac{729\,x^5}{8}","Not used",1,"((3916031*x)/512 - 6537923/2048)/(x^2 - x + 1/4) - (5078115*log(x - 1/2))/256 - (2431647*x)/128 - (461835*x^2)/64 - (10611*x^3)/4 - (44469*x^4)/64 - (729*x^5)/8","B"
1633,1,41,59,0.030166,"\text{Not used}","int(-((3*x + 2)^5*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{60025\,x}{32}-\frac{775523}{1024}}{x^2-x+\frac{1}{4}}-\frac{519645\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{109089\,x}{32}-\frac{16821\,x^2}{16}-\frac{4401\,x^3}{16}-\frac{1215\,x^4}{32}","Not used",1,"((60025*x)/32 - 775523/1024)/(x^2 - x + 1/4) - (519645*log(x - 1/2))/128 - (109089*x)/32 - (16821*x^2)/16 - (4401*x^3)/16 - (1215*x^4)/32","B"
1634,1,36,50,0.027002,"\text{Not used}","int(-((3*x + 2)^4*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{57281\,x}{128}-\frac{88151}{512}}{x^2-x+\frac{1}{4}}-\frac{24843\,\ln\left(x-\frac{1}{2}\right)}{32}-540\,x-\frac{3861\,x^2}{32}-\frac{135\,x^3}{8}","Not used",1,"((57281*x)/128 - 88151/512)/(x^2 - x + 1/4) - (24843*log(x - 1/2))/32 - 540*x - (3861*x^2)/32 - (135*x^3)/8","B"
1635,1,31,45,0.032829,"\text{Not used}","int(-((3*x + 2)^3*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{3283\,x}{32}-\frac{9359}{256}}{x^2-x+\frac{1}{4}}-\frac{1071\,\ln\left(x-\frac{1}{2}\right)}{8}-\frac{1107\,x}{16}-\frac{135\,x^2}{16}","Not used",1,"((3283*x)/32 - 9359/256)/(x^2 - x + 1/4) - (1071*log(x - 1/2))/8 - (1107*x)/16 - (135*x^2)/16","B"
1636,1,26,38,0.034733,"\text{Not used}","int(-((3*x + 2)^2*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{707\,x}{32}-\frac{875}{128}}{x^2-x+\frac{1}{4}}-\frac{309\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{45\,x}{8}","Not used",1,"((707*x)/32 - 875/128)/(x^2 - x + 1/4) - (309*log(x - 1/2))/16 - (45*x)/8","B"
1637,1,23,33,1.057274,"\text{Not used}","int(-((3*x + 2)*(5*x + 3))/(2*x - 1)^3,x)","\frac{\frac{17\,x}{4}-\frac{59}{64}}{x^2-x+\frac{1}{4}}-\frac{15\,\ln\left(x-\frac{1}{2}\right)}{8}","Not used",1,"((17*x)/4 - 59/64)/(x^2 - x + 1/4) - (15*log(x - 1/2))/8","B"
1638,1,14,18,0.029329,"\text{Not used}","int(-(5*x + 3)/(2*x - 1)^3,x)","\frac{20\,x+1}{8\,{\left(2\,x-1\right)}^2}","Not used",1,"(20*x + 1)/(8*(2*x - 1)^2)","B"
1639,1,25,43,0.040271,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)^3*(3*x + 2)),x)","\frac{\frac{x}{98}+\frac{73}{784}}{x^2-x+\frac{1}{4}}-\frac{6\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{343}","Not used",1,"(x/98 + 73/784)/(x^2 - x + 1/4) - (6*atanh((12*x)/7 + 1/7))/343","B"
1640,1,38,54,1.068769,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)^3*(3*x + 2)^2),x)","\frac{174\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}-\frac{-\frac{29\,x^2}{686}+\frac{145\,x}{8232}+\frac{71}{2058}}{-x^3+\frac{x^2}{3}+\frac{5\,x}{12}-\frac{1}{6}}","Not used",1,"(174*atanh((12*x)/7 + 1/7))/2401 - ((145*x)/8232 - (29*x^2)/686 + 71/2058)/((5*x)/12 + x^2/3 - x^3 - 1/6)","B"
1641,1,45,65,1.066598,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)^3*(3*x + 2)^3),x)","\frac{1116\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}+\frac{-\frac{93\,x^3}{2401}-\frac{93\,x^2}{9604}+\frac{1829\,x}{86436}+\frac{1313}{172872}}{x^4+\frac{x^3}{3}-\frac{23\,x^2}{36}-\frac{x}{9}+\frac{1}{9}}","Not used",1,"(1116*atanh((12*x)/7 + 1/7))/16807 + ((1829*x)/86436 - (93*x^2)/9604 - (93*x^3)/2401 + 1313/172872)/(x^3/3 - (23*x^2)/36 - x/9 + x^4 + 1/9)","B"
1642,1,53,76,0.041610,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)^3*(3*x + 2)^4),x)","\frac{4560\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}+\frac{-\frac{380\,x^4}{16807}-\frac{1045\,x^3}{50421}+\frac{3895\,x^2}{453789}+\frac{33725\,x}{3630312}+\frac{386}{453789}}{x^5+x^4-\frac{5\,x^3}{12}-\frac{29\,x^2}{54}+\frac{x}{27}+\frac{2}{27}}","Not used",1,"(4560*atanh((12*x)/7 + 1/7))/117649 + ((33725*x)/3630312 + (3895*x^2)/453789 - (1045*x^3)/50421 - (380*x^4)/16807 + 386/453789)/(x/27 - (29*x^2)/54 - (5*x^3)/12 + x^4 + x^5 + 2/27)","B"
1643,1,66,87,0.043970,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)^3*(3*x + 2)^5),x)","\frac{15360\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{1280\,x^5}{117649}+\frac{6080\,x^4}{352947}+\frac{8000\,x^3}{3176523}-\frac{68840\,x^2}{9529569}-\frac{8408\,x}{3176523}+\frac{9425}{50824368}}{x^6+\frac{5\,x^5}{3}+\frac{x^4}{4}-\frac{22\,x^3}{27}-\frac{26\,x^2}{81}+\frac{8\,x}{81}+\frac{4}{81}}","Not used",1,"(15360*atanh((12*x)/7 + 1/7))/823543 - ((8000*x^3)/3176523 - (68840*x^2)/9529569 - (8408*x)/3176523 + (6080*x^4)/352947 + (1280*x^5)/117649 + 9425/50824368)/((8*x)/81 - (26*x^2)/81 - (22*x^3)/27 + x^4/4 + (5*x^5)/3 + x^6 + 4/81)","B"
1644,1,76,98,1.070462,"\text{Not used}","int(-(5*x + 3)/((2*x - 1)^3*(3*x + 2)^6),x)","\frac{6624\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{552\,x^6}{117649}+\frac{1242\,x^5}{117649}+\frac{6394\,x^4}{1058841}-\frac{30383\,x^3}{12706092}-\frac{613387\,x^2}{190591380}-\frac{1134751\,x}{2287096560}+\frac{190697}{1143548280}}{x^7+\frac{7\,x^6}{3}+\frac{49\,x^5}{36}-\frac{35\,x^4}{54}-\frac{70\,x^3}{81}-\frac{28\,x^2}{243}+\frac{28\,x}{243}+\frac{8}{243}}","Not used",1,"(6624*atanh((12*x)/7 + 1/7))/823543 - ((6394*x^4)/1058841 - (613387*x^2)/190591380 - (30383*x^3)/12706092 - (1134751*x)/2287096560 + (1242*x^5)/117649 + (552*x^6)/117649 + 190697/1143548280)/((28*x)/243 - (28*x^2)/243 - (70*x^3)/81 - (35*x^4)/54 + (49*x^5)/36 + (7*x^6)/3 + x^7 + 8/243)","B"
1645,1,56,80,1.062386,"\text{Not used}","int(-((3*x + 2)^7*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{389535839\,x}{2048}-\frac{679422975}{8192}}{x^2-x+\frac{1}{4}}-\frac{84589631\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{48280011\,x}{64}-\frac{190742391\,x^2}{512}-\frac{25895367\,x^3}{128}-\frac{12299769\,x^4}{128}-\frac{2798631\,x^5}{80}-\frac{268515\,x^6}{32}-\frac{54675\,x^7}{56}","Not used",1,"((389535839*x)/2048 - 679422975/8192)/(x^2 - x + 1/4) - (84589631*log(x - 1/2))/128 - (48280011*x)/64 - (190742391*x^2)/512 - (25895367*x^3)/128 - (12299769*x^4)/128 - (2798631*x^5)/80 - (268515*x^6)/32 - (54675*x^7)/56","B"
1646,1,51,73,0.035259,"\text{Not used}","int(-((3*x + 2)^6*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{12386759\,x}{256}-\frac{84858543}{4096}}{x^2-x+\frac{1}{4}}-\frac{18859855\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{39980457\,x}{256}-\frac{17700255\,x^2}{256}-\frac{1024389\,x^3}{32}-\frac{770067\,x^4}{64}-\frac{48843\,x^5}{16}-\frac{6075\,x^6}{16}","Not used",1,"((12386759*x)/256 - 84858543/4096)/(x^2 - x + 1/4) - (18859855*log(x - 1/2))/128 - (39980457*x)/256 - (17700255*x^2)/256 - (1024389*x^3)/32 - (770067*x^4)/64 - (48843*x^5)/16 - (6075*x^6)/16","B"
1647,1,46,66,0.033381,"\text{Not used}","int(-((3*x + 2)^5*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{6206585\,x}{512}-\frac{10379523}{2048}}{x^2-x+\frac{1}{4}}-\frac{8117095\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{3907293\,x}{128}-\frac{747297\,x^2}{64}-\frac{69273\,x^3}{16}-\frac{73305\,x^4}{64}-\frac{1215\,x^5}{8}","Not used",1,"((6206585*x)/512 - 10379523/2048)/(x^2 - x + 1/4) - (8117095*log(x - 1/2))/256 - (3907293*x)/128 - (747297*x^2)/64 - (69273*x^3)/16 - (73305*x^4)/64 - (1215*x^5)/8","B"
1648,1,41,59,0.029642,"\text{Not used}","int(-((3*x + 2)^4*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{381073\,x}{128}-\frac{1233771}{1024}}{x^2-x+\frac{1}{4}}-\frac{832951\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{176055\,x}{32}-\frac{54783\,x^2}{32}-\frac{7245\,x^3}{16}-\frac{2025\,x^4}{32}","Not used",1,"((381073*x)/128 - 1233771/1024)/(x^2 - x + 1/4) - (832951*log(x - 1/2))/128 - (176055*x)/32 - (54783*x^2)/32 - (7245*x^3)/16 - (2025*x^4)/32","B"
1649,1,36,52,0.027405,"\text{Not used}","int(-((3*x + 2)^3*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{91091\,x}{128}-\frac{140679}{512}}{x^2-x+\frac{1}{4}}-\frac{39977\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{14031\,x}{16}-\frac{6345\,x^2}{32}-\frac{225\,x^3}{8}","Not used",1,"((91091*x)/128 - 140679/512)/(x^2 - x + 1/4) - (39977*log(x - 1/2))/32 - (14031*x)/16 - (6345*x^2)/32 - (225*x^3)/8","B"
1650,1,31,45,0.032273,"\text{Not used}","int(-((3*x + 2)^2*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{1309\,x}{8}-\frac{15015}{256}}{x^2-x+\frac{1}{4}}-\frac{3467\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{1815\,x}{16}-\frac{225\,x^2}{16}","Not used",1,"((1309*x)/8 - 15015/256)/(x^2 - x + 1/4) - (3467*log(x - 1/2))/16 - (1815*x)/16 - (225*x^2)/16","B"
1651,1,26,38,0.034499,"\text{Not used}","int(-((3*x + 2)*(5*x + 3)^2)/(2*x - 1)^3,x)","\frac{\frac{1133\,x}{32}-\frac{1419}{128}}{x^2-x+\frac{1}{4}}-\frac{505\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{75\,x}{8}","Not used",1,"((1133*x)/32 - 1419/128)/(x^2 - x + 1/4) - (505*log(x - 1/2))/16 - (75*x)/8","B"
1652,1,23,33,0.027196,"\text{Not used}","int(-(5*x + 3)^2/(2*x - 1)^3,x)","\frac{\frac{55\,x}{8}-\frac{99}{64}}{x^2-x+\frac{1}{4}}-\frac{25\,\ln\left(x-\frac{1}{2}\right)}{8}","Not used",1,"((55*x)/8 - 99/64)/(x^2 - x + 1/4) - (25*log(x - 1/2))/8","B"
1653,1,25,43,0.039450,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)^3*(3*x + 2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{343}+\frac{\frac{407\,x}{392}+\frac{33}{1568}}{x^2-x+\frac{1}{4}}","Not used",1,"(2*atanh((12*x)/7 + 1/7))/343 + ((407*x)/392 + 33/1568)/(x^2 - x + 1/4)","B"
1654,1,38,54,0.041057,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)^3*(3*x + 2)^2),x)","-\frac{128\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}-\frac{\frac{32\,x^2}{1029}+\frac{2645\,x}{16464}+\frac{757}{8232}}{-x^3+\frac{x^2}{3}+\frac{5\,x}{12}-\frac{1}{6}}","Not used",1,"- (128*atanh((12*x)/7 + 1/7))/2401 - ((2645*x)/16464 + (32*x^2)/1029 + 757/8232)/((5*x)/12 + x^2/3 - x^3 - 1/6)","B"
1655,1,45,65,1.068860,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)^3*(3*x + 2)^3),x)","\frac{1658\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}+\frac{-\frac{829\,x^3}{14406}-\frac{829\,x^2}{57624}+\frac{1513\,x}{21609}+\frac{2063}{57624}}{x^4+\frac{x^3}{3}-\frac{23\,x^2}{36}-\frac{x}{9}+\frac{1}{9}}","Not used",1,"(1658*atanh((12*x)/7 + 1/7))/16807 + ((1513*x)/21609 - (829*x^2)/57624 - (829*x^3)/14406 + 2063/57624)/(x^3/3 - (23*x^2)/36 - x/9 + x^4 + 1/9)","B"
1656,1,53,76,1.073727,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)^3*(3*x + 2)^4),x)","\frac{11500\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}+\frac{-\frac{2875\,x^4}{50421}-\frac{31625\,x^3}{605052}+\frac{117875\,x^2}{5445468}+\frac{45025\,x}{1361367}+\frac{44411}{5445468}}{x^5+x^4-\frac{5\,x^3}{12}-\frac{29\,x^2}{54}+\frac{x}{27}+\frac{2}{27}}","Not used",1,"(11500*atanh((12*x)/7 + 1/7))/117649 + ((45025*x)/1361367 + (117875*x^2)/5445468 - (31625*x^3)/605052 - (2875*x^4)/50421 + 44411/5445468)/(x/27 - (29*x^2)/54 - (5*x^3)/12 + x^4 + x^5 + 2/27)","B"
1657,1,65,87,0.041117,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)^3*(3*x + 2)^5),x)","\frac{48080\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}+\frac{-\frac{12020\,x^5}{352947}-\frac{57095\,x^4}{1058841}-\frac{75125\,x^3}{9529569}+\frac{5171605\,x^2}{228709656}+\frac{1241599\,x}{114354828}+\frac{460595}{457419312}}{x^6+\frac{5\,x^5}{3}+\frac{x^4}{4}-\frac{22\,x^3}{27}-\frac{26\,x^2}{81}+\frac{8\,x}{81}+\frac{4}{81}}","Not used",1,"(48080*atanh((12*x)/7 + 1/7))/823543 + ((1241599*x)/114354828 + (5171605*x^2)/228709656 - (75125*x^3)/9529569 - (57095*x^4)/1058841 - (12020*x^5)/352947 + 460595/457419312)/((8*x)/81 - (26*x^2)/81 - (22*x^3)/27 + x^4/4 + (5*x^5)/3 + x^6 + 4/81)","B"
1658,1,76,98,1.064715,"\text{Not used}","int(-(5*x + 3)^2/((2*x - 1)^3*(3*x + 2)^6),x)","\frac{23392\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}-\frac{\frac{5848\,x^6}{352947}+\frac{4386\,x^5}{117649}+\frac{203218\,x^4}{9529569}-\frac{965651\,x^3}{114354828}-\frac{19495039\,x^2}{1715322420}-\frac{1057739\,x}{428830605}+\frac{258089}{1715322420}}{x^7+\frac{7\,x^6}{3}+\frac{49\,x^5}{36}-\frac{35\,x^4}{54}-\frac{70\,x^3}{81}-\frac{28\,x^2}{243}+\frac{28\,x}{243}+\frac{8}{243}}","Not used",1,"(23392*atanh((12*x)/7 + 1/7))/823543 - ((203218*x^4)/9529569 - (19495039*x^2)/1715322420 - (965651*x^3)/114354828 - (1057739*x)/428830605 + (4386*x^5)/117649 + (5848*x^6)/352947 + 258089/1715322420)/((28*x)/243 - (28*x^2)/243 - (70*x^3)/81 - (35*x^4)/54 + (49*x^5)/36 + (7*x^6)/3 + x^7 + 8/243)","B"
1659,1,56,80,1.061961,"\text{Not used}","int(-((3*x + 2)^6*(5*x + 3)^3)/(2*x - 1)^3,x)","\frac{\frac{616195041\,x}{2048}-\frac{1075799263}{8192}}{x^2-x+\frac{1}{4}}-\frac{33674025\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{308539921\,x}{256}-\frac{306103815\,x^2}{512}-\frac{41793093\,x^3}{128}-\frac{19986237\,x^4}{128}-\frac{229149\,x^5}{4}-\frac{443475\,x^6}{32}-\frac{91125\,x^7}{56}","Not used",1,"((616195041*x)/2048 - 1075799263/8192)/(x^2 - x + 1/4) - (33674025*log(x - 1/2))/32 - (308539921*x)/256 - (306103815*x^2)/512 - (41793093*x^3)/128 - (19986237*x^4)/128 - (229149*x^5)/4 - (443475*x^6)/32 - (91125*x^7)/56","B"
1660,1,51,73,0.036510,"\text{Not used}","int(-((3*x + 2)^5*(5*x + 3)^3)/(2*x - 1)^3,x)","\frac{\frac{39220335\,x}{512}-\frac{134511223}{4096}}{x^2-x+\frac{1}{4}}-\frac{60160485\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{64029233\,x}{256}-\frac{28504029\,x^2}{256}-\frac{1661133\,x^3}{32}-\frac{629505\,x^4}{32}-\frac{80595\,x^5}{16}-\frac{10125\,x^6}{16}","Not used",1,"((39220335*x)/512 - 134511223/4096)/(x^2 - x + 1/4) - (60160485*log(x - 1/2))/256 - (64029233*x)/256 - (28504029*x^2)/256 - (1661133*x^3)/32 - (629505*x^4)/32 - (80595*x^5)/16 - (10125*x^6)/16","B"
1661,1,46,64,0.031640,"\text{Not used}","int(-((3*x + 2)^4*(5*x + 3)^3)/(2*x - 1)^3,x)","\frac{\frac{9836211\,x}{512}-\frac{16476691}{2048}}{x^2-x+\frac{1}{4}}-\frac{12973191\,\ln\left(x-\frac{1}{2}\right)}{256}-\frac{6277415\,x}{128}-\frac{1208973\,x^2}{64}-7065\,x^3-\frac{120825\,x^4}{64}-\frac{2025\,x^5}{8}","Not used",1,"((9836211*x)/512 - 16476691/2048)/(x^2 - x + 1/4) - (12973191*log(x - 1/2))/256 - (6277415*x)/128 - (1208973*x^2)/64 - 7065*x^3 - (120825*x^4)/64 - (2025*x^5)/8","B"
1662,1,41,59,0.029070,"\text{Not used}","int(-((3*x + 2)^3*(5*x + 3)^3)/(2*x - 1)^3,x)","\frac{\frac{302379\,x}{64}-\frac{1962499}{1024}}{x^2-x+\frac{1}{4}}-\frac{1334949\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{284071\,x}{32}-\frac{44595\,x^2}{16}-\frac{11925\,x^3}{16}-\frac{3375\,x^4}{32}","Not used",1,"((302379*x)/64 - 1962499/1024)/(x^2 - x + 1/4) - (1334949*log(x - 1/2))/128 - (284071*x)/32 - (44595*x^2)/16 - (11925*x^3)/16 - (3375*x^4)/32","B"
1663,1,36,52,0.026777,"\text{Not used}","int(-((3*x + 2)^2*(5*x + 3)^3)/(2*x - 1)^3,x)","\frac{\frac{144837\,x}{128}-\frac{224455}{512}}{x^2-x+\frac{1}{4}}-\frac{64317\,\ln\left(x-\frac{1}{2}\right)}{32}-\frac{5695\,x}{4}-\frac{10425\,x^2}{32}-\frac{375\,x^3}{8}","Not used",1,"((144837*x)/128 - 224455/512)/(x^2 - x + 1/4) - (64317*log(x - 1/2))/32 - (5695*x)/4 - (10425*x^2)/32 - (375*x^3)/8","B"
1664,1,31,45,0.032767,"\text{Not used}","int(-((3*x + 2)*(5*x + 3)^3)/(2*x - 1)^3,x)","\frac{\frac{8349\,x}{32}-\frac{24079}{256}}{x^2-x+\frac{1}{4}}-\frac{2805\,\ln\left(x-\frac{1}{2}\right)}{8}-\frac{2975\,x}{16}-\frac{375\,x^2}{16}","Not used",1,"((8349*x)/32 - 24079/256)/(x^2 - x + 1/4) - (2805*log(x - 1/2))/8 - (2975*x)/16 - (375*x^2)/16","B"
1665,1,26,38,1.047615,"\text{Not used}","int(-(5*x + 3)^3/(2*x - 1)^3,x)","\frac{\frac{1815\,x}{32}-\frac{2299}{128}}{x^2-x+\frac{1}{4}}-\frac{825\,\ln\left(x-\frac{1}{2}\right)}{16}-\frac{125\,x}{8}","Not used",1,"((1815*x)/32 - 2299/128)/(x^2 - x + 1/4) - (825*log(x - 1/2))/16 - (125*x)/8","B"
1666,1,29,43,0.054736,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)^3*(3*x + 2)),x)","\frac{\frac{1089\,x}{98}-\frac{8107}{3136}}{x^2-x+\frac{1}{4}}-\frac{\ln\left(x+\frac{2}{3}\right)}{1029}-\frac{14289\,\ln\left(x-\frac{1}{2}\right)}{2744}","Not used",1,"((1089*x)/98 - 8107/3136)/(x^2 - x + 1/4) - log(x + 2/3)/1029 - (14289*log(x - 1/2))/2744","B"
1667,1,38,54,0.042738,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)^3*(3*x + 2)^2),x)","\frac{66\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{2401}-\frac{\frac{42479\,x^2}{24696}+\frac{112135\,x}{98784}-\frac{359}{49392}}{-x^3+\frac{x^2}{3}+\frac{5\,x}{12}-\frac{1}{6}}","Not used",1,"(66*atanh((12*x)/7 + 1/7))/2401 - ((112135*x)/98784 + (42479*x^2)/24696 - 359/49392)/((5*x)/12 + x^2/3 - x^3 - 1/6)","B"
1668,1,45,65,0.042023,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)^3*(3*x + 2)^3),x)","\frac{\frac{341\,x^3}{4802}+\frac{318539\,x^2}{1037232}+\frac{39989\,x}{129654}+\frac{46801}{518616}}{x^4+\frac{x^3}{3}-\frac{23\,x^2}{36}-\frac{x}{9}+\frac{1}{9}}-\frac{2046\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{16807}","Not used",1,"((39989*x)/129654 + (318539*x^2)/1037232 + (341*x^3)/4802 + 46801/518616)/(x^3/3 - (23*x^2)/36 - x/9 + x^4 + 1/9) - (2046*atanh((12*x)/7 + 1/7))/16807","B"
1669,1,53,76,1.071371,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)^3*(3*x + 2)^4),x)","\frac{15510\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{117649}+\frac{-\frac{2585\,x^4}{33614}-\frac{28435\,x^3}{403368}+\frac{763685\,x^2}{8168202}+\frac{4131175\,x}{32672808}+\frac{302717}{8168202}}{x^5+x^4-\frac{5\,x^3}{12}-\frac{29\,x^2}{54}+\frac{x}{27}+\frac{2}{27}}","Not used",1,"(15510*atanh((12*x)/7 + 1/7))/117649 + ((4131175*x)/32672808 + (763685*x^2)/8168202 - (28435*x^3)/403368 - (2585*x^4)/33614 + 302717/8168202)/(x/27 - (29*x^2)/54 - (5*x^3)/12 + x^4 + x^5 + 2/27)","B"
1670,1,65,87,1.092174,"\text{Not used}","int(-(5*x + 3)^3/((2*x - 1)^3*(3*x + 2)^5),x)","\frac{118140\,\mathrm{atanh}\left(\frac{12\,x}{7}+\frac{1}{7}\right)}{823543}+\frac{-\frac{9845\,x^5}{117649}-\frac{187055\,x^4}{1411788}-\frac{246125\,x^3}{12706092}+\frac{16383965\,x^2}{228709656}+\frac{1335713\,x}{28588707}+\frac{3991495}{457419312}}{x^6+\frac{5\,x^5}{3}+\frac{x^4}{4}-\frac{22\,x^3}{27}-\frac{26\,x^2}{81}+\frac{8\,x}{81}+\frac{4}{81}}","Not used",1,"(118140*atanh((12*x)/7 + 1/7))/823543 + ((1335713*x)/28588707 + (16383965*x^2)/228709656 - (246125*x^3)/12706092 - (187055*x^4)/1411788 - (9845*x^5)/117649 + 3991495/457419312)/((8*x)/81 - (26*x^2)/81 - (22*x^3)/27 + x^4/4 + (5*x^5)/3 + x^6 + 4/81)","B"
1671,1,52,76,0.047046,"\text{Not used}","int(-(3*x + 2)^8/((2*x - 1)^3*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{20796875}-\frac{2644396573\,\ln\left(x-\frac{1}{2}\right)}{340736}-\frac{2941619571\,x}{400000}+\frac{\frac{188591347\,x}{61952}-\frac{313769883}{247808}}{x^2-x+\frac{1}{4}}-\frac{110180817\,x^2}{40000}-\frac{124416\,x^3}{125}-\frac{408969\,x^4}{1600}-\frac{6561\,x^5}{200}","Not used",1,"log(x + 3/5)/20796875 - (2644396573*log(x - 1/2))/340736 - (2941619571*x)/400000 + ((188591347*x)/61952 - 313769883/247808)/(x^2 - x + 1/4) - (110180817*x^2)/40000 - (124416*x^3)/125 - (408969*x^4)/1600 - (6561*x^5)/200","B"
1672,1,47,69,1.066257,"\text{Not used}","int(-(3*x + 2)^7/((2*x - 1)^3*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{4159375}-\frac{269063263\,\ln\left(x-\frac{1}{2}\right)}{170368}-\frac{26161299\,x}{20000}+\frac{\frac{5764801\,x}{7744}-\frac{37059435}{123904}}{x^2-x+\frac{1}{4}}-\frac{792423\,x^2}{2000}-\frac{40581\,x^3}{400}-\frac{2187\,x^4}{160}","Not used",1,"log(x + 3/5)/4159375 - (269063263*log(x - 1/2))/170368 - (26161299*x)/20000 + ((5764801*x)/7744 - 37059435/123904)/(x^2 - x + 1/4) - (792423*x^2)/2000 - (40581*x^3)/400 - (2187*x^4)/160","B"
1673,1,42,62,0.038477,"\text{Not used}","int(-(3*x + 2)^6/((2*x - 1)^3*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{831875}-\frac{12761315\,\ln\left(x-\frac{1}{2}\right)}{42592}-\frac{102303\,x}{500}+\frac{\frac{2739541\,x}{15488}-\frac{4184943}{61952}}{x^2-x+\frac{1}{4}}-\frac{35721\,x^2}{800}-\frac{243\,x^3}{40}","Not used",1,"log(x + 3/5)/831875 - (12761315*log(x - 1/2))/42592 - (102303*x)/500 + ((2739541*x)/15488 - 4184943/61952)/(x^2 - x + 1/4) - (35721*x^2)/800 - (243*x^3)/40","B"
1674,1,37,55,0.038057,"\text{Not used}","int(-(3*x + 2)^5/((2*x - 1)^3*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{166375}-\frac{543655\,\ln\left(x-\frac{1}{2}\right)}{10648}-\frac{10287\,x}{400}+\frac{\frac{156065\,x}{3872}-\frac{439383}{30976}}{x^2-x+\frac{1}{4}}-\frac{243\,x^2}{80}","Not used",1,"log(x + 3/5)/166375 - (543655*log(x - 1/2))/10648 - (10287*x)/400 + ((156065*x)/3872 - 439383/30976)/(x^2 - x + 1/4) - (243*x^2)/80","B"
1675,1,32,48,1.068652,"\text{Not used}","int(-(3*x + 2)^4/((2*x - 1)^3*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{33275}-\frac{153811\,\ln\left(x-\frac{1}{2}\right)}{21296}-\frac{81\,x}{40}+\frac{\frac{33271\,x}{3872}-\frac{40131}{15488}}{x^2-x+\frac{1}{4}}","Not used",1,"log(x + 3/5)/33275 - (153811*log(x - 1/2))/21296 - (81*x)/40 + ((33271*x)/3872 - 40131/15488)/(x^2 - x + 1/4)","B"
1676,1,29,43,0.078653,"\text{Not used}","int(-(3*x + 2)^3/((2*x - 1)^3*(5*x + 3)),x)","\frac{\ln\left(x+\frac{3}{5}\right)}{6655}-\frac{7189\,\ln\left(x-\frac{1}{2}\right)}{10648}+\frac{\frac{196\,x}{121}-\frac{2499}{7744}}{x^2-x+\frac{1}{4}}","Not used",1,"log(x + 3/5)/6655 - (7189*log(x - 1/2))/10648 + ((196*x)/121 - 2499/7744)/(x^2 - x + 1/4)","B"
1677,1,25,43,1.088289,"\text{Not used}","int(-(3*x + 2)^2/((2*x - 1)^3*(5*x + 3)),x)","\frac{2\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}+\frac{\frac{217\,x}{968}+\frac{105}{3872}}{x^2-x+\frac{1}{4}}","Not used",1,"(2*atanh((20*x)/11 + 1/11))/1331 + ((217*x)/968 + 105/3872)/(x^2 - x + 1/4)","B"
1678,1,26,43,0.038719,"\text{Not used}","int(-(3*x + 2)/((2*x - 1)^3*(5*x + 3)),x)","\frac{10\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{x}{242}-\frac{81}{1936}}{x^2-x+\frac{1}{4}}","Not used",1,"(10*atanh((20*x)/11 + 1/11))/1331 - (x/242 - 81/1936)/(x^2 - x + 1/4)","B"
1679,1,26,43,0.038735,"\text{Not used}","int(-1/((2*x - 1)^3*(5*x + 3)),x)","\frac{50\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{1331}-\frac{\frac{5\,x}{242}-\frac{21}{968}}{x^2-x+\frac{1}{4}}","Not used",1,"(50*atanh((20*x)/11 + 1/11))/1331 - ((5*x)/242 - 21/968)/(x^2 - x + 1/4)","B"
1680,1,36,53,1.073964,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)*(5*x + 3)),x)","\frac{125\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{27\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{6938\,\ln\left(x-\frac{1}{2}\right)}{456533}-\frac{\frac{68\,x}{5929}-\frac{213}{23716}}{x^2-x+\frac{1}{4}}","Not used",1,"(125*log(x + 3/5))/1331 - (27*log(x + 2/3))/343 - (6938*log(x - 1/2))/456533 - ((68*x)/5929 - 213/23716)/(x^2 - x + 1/4)","B"
1681,1,48,64,0.042743,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^2*(5*x + 3)),x)","\frac{625\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{1107\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{27208\,\ln\left(x-\frac{1}{2}\right)}{3195731}-\frac{\frac{887\,x^2}{41503}-\frac{6505\,x}{249018}+\frac{1461}{166012}}{-x^3+\frac{x^2}{3}+\frac{5\,x}{12}-\frac{1}{6}}","Not used",1,"(625*log(x + 3/5))/1331 - (1107*log(x + 2/3))/2401 - (27208*log(x - 1/2))/3195731 - ((887*x^2)/41503 - (6505*x)/249018 + 1461/166012)/((5*x)/12 + x^2/3 - x^3 - 1/6)","B"
1682,1,56,75,0.044376,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^3*(5*x + 3)),x)","\frac{3125\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{39393\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{89792\,\ln\left(x-\frac{1}{2}\right)}{22370117}-\frac{-\frac{44113\,x^3}{290521}+\frac{83893\,x^2}{1743126}+\frac{707489\,x}{10458756}-\frac{189899}{6972504}}{x^4+\frac{x^3}{3}-\frac{23\,x^2}{36}-\frac{x}{9}+\frac{1}{9}}","Not used",1,"(3125*log(x + 3/5))/1331 - (39393*log(x + 2/3))/16807 - (89792*log(x - 1/2))/22370117 - ((707489*x)/10458756 + (83893*x^2)/1743126 - (44113*x^3)/290521 - 189899/6972504)/(x^3/3 - (23*x^2)/36 - x/9 + x^4 + 1/9)","B"
1683,1,63,86,0.045610,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^4*(5*x + 3)),x)","\frac{15625\,\ln\left(x+\frac{3}{5}\right)}{1331}-\frac{1380915\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{267760\,\ln\left(x-\frac{1}{2}\right)}{156590819}+\frac{\frac{1587515\,x^4}{2033647}+\frac{1159715\,x^3}{4067294}-\frac{4122495\,x^2}{8134588}-\frac{43096225\,x}{439267752}+\frac{3347251}{36605646}}{x^5+x^4-\frac{5\,x^3}{12}-\frac{29\,x^2}{54}+\frac{x}{27}+\frac{2}{27}}","Not used",1,"(15625*log(x + 3/5))/1331 - (1380915*log(x + 2/3))/117649 - (267760*log(x - 1/2))/156590819 + ((1159715*x^3)/4067294 - (4122495*x^2)/8134588 - (43096225*x)/439267752 + (1587515*x^4)/2033647 + 3347251/36605646)/(x/27 - (29*x^2)/54 - (5*x^3)/12 + x^4 + x^5 + 2/27)","B"
1684,1,60,80,0.043778,"\text{Not used}","int(-(3*x + 2)^8/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{54\,\ln\left(x+\frac{3}{5}\right)}{45753125}-\frac{1845559863\,\ln\left(x-\frac{1}{2}\right)}{1874048}-\frac{81001863\,x}{100000}-\frac{\frac{6240911796747\,x^2}{13310000000}+\frac{9946855297899\,x}{106480000000}-\frac{12005712797131}{106480000000}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}-\frac{4863159\,x^2}{20000}-\frac{123201\,x^3}{2000}-\frac{6561\,x^4}{800}","Not used",1,"(54*log(x + 3/5))/45753125 - (1845559863*log(x - 1/2))/1874048 - (81001863*x)/100000 - ((9946855297899*x)/106480000000 + (6240911796747*x^2)/13310000000 - 12005712797131/106480000000)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20) - (4863159*x^2)/20000 - (123201*x^3)/2000 - (6561*x^4)/800","B"
1685,1,55,73,0.040811,"\text{Not used}","int(-(3*x + 2)^7/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{237\,\ln\left(x+\frac{3}{5}\right)}{45753125}-\frac{87177909\,\ln\left(x-\frac{1}{2}\right)}{468512}-\frac{1258983\,x}{10000}-\frac{\frac{295960765497\,x^2}{2662000000}+\frac{259930759887\,x}{10648000000}-\frac{270225047003}{10648000000}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}-\frac{108621\,x^2}{4000}-\frac{729\,x^3}{200}","Not used",1,"(237*log(x + 3/5))/45753125 - (87177909*log(x - 1/2))/468512 - (1258983*x)/10000 - ((259930759887*x)/10648000000 + (295960765497*x^2)/2662000000 - 270225047003/10648000000)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20) - (108621*x^2)/4000 - (729*x^3)/200","B"
1686,1,50,66,1.065830,"\text{Not used}","int(-(3*x + 2)^6/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{204\,\ln\left(x+\frac{3}{5}\right)}{9150625}-\frac{7383075\,\ln\left(x-\frac{1}{2}\right)}{234256}-\frac{31347\,x}{2000}-\frac{\frac{105043749\,x^2}{4159375}+\frac{6733304631\,x}{1064800000}-\frac{5640849439}{1064800000}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}-\frac{729\,x^2}{400}","Not used",1,"(204*log(x + 3/5))/9150625 - (7383075*log(x - 1/2))/234256 - (31347*x)/2000 - ((6733304631*x)/1064800000 + (105043749*x^2)/4159375 - 5640849439/1064800000)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20) - (729*x^2)/400","B"
1687,1,45,59,0.039254,"\text{Not used}","int(-(3*x + 2)^5/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{171\,\ln\left(x+\frac{3}{5}\right)}{1830125}-\frac{1034145\,\ln\left(x-\frac{1}{2}\right)}{234256}-\frac{243\,x}{200}-\frac{\frac{142559343\,x^2}{26620000}+\frac{172572003\,x}{106480000}-\frac{101742407}{106480000}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(171*log(x + 3/5))/1830125 - (1034145*log(x - 1/2))/234256 - (243*x)/200 - ((172572003*x)/106480000 + (142559343*x^2)/26620000 - 101742407/106480000)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1688,1,42,54,1.147478,"\text{Not used}","int(-(3*x + 2)^4/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{138\,\ln\left(x+\frac{3}{5}\right)}{366025}-\frac{47481\,\ln\left(x-\frac{1}{2}\right)}{117128}-\frac{\frac{1329117\,x^2}{1331000}+\frac{4364739\,x}{10648000}-\frac{1209091}{10648000}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(138*log(x + 3/5))/366025 - (47481*log(x - 1/2))/117128 - ((4364739*x)/10648000 + (1329117*x^2)/1331000 - 1209091/10648000)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1689,1,38,54,0.042707,"\text{Not used}","int(-(3*x + 2)^3/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{42\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}-\frac{\frac{35517\,x^2}{266200}+\frac{108567\,x}{1064800}+\frac{13957}{1064800}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(42*atanh((20*x)/11 + 1/11))/14641 - ((108567*x)/1064800 + (35517*x^2)/266200 + 13957/1064800)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1690,1,38,54,1.080580,"\text{Not used}","int(-(3*x + 2)^2/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{144\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}-\frac{-\frac{36\,x^2}{6655}+\frac{531\,x}{21296}+\frac{1781}{106480}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(144*atanh((20*x)/11 + 1/11))/14641 - ((531*x)/21296 - (36*x^2)/6655 + 1781/106480)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1691,1,38,54,0.043590,"\text{Not used}","int(-(3*x + 2)/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{390\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}-\frac{-\frac{39\,x^2}{2662}+\frac{351\,x}{53240}+\frac{443}{53240}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(390*atanh((20*x)/11 + 1/11))/14641 - ((351*x)/53240 - (39*x^2)/2662 + 443/53240)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1692,1,38,54,1.101226,"\text{Not used}","int(-1/((2*x - 1)^3*(5*x + 3)^2),x)","\frac{300\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{14641}-\frac{-\frac{15\,x^2}{1331}+\frac{27\,x}{5324}+\frac{17}{6655}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(300*atanh((20*x)/11 + 1/11))/14641 - ((27*x)/5324 - (15*x^2)/1331 + 17/6655)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1693,1,47,64,0.042908,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)*(5*x + 3)^2),x)","\frac{81\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{28296\,\ln\left(x-\frac{1}{2}\right)}{5021863}-\frac{3375\,\ln\left(x+\frac{3}{5}\right)}{14641}+\frac{\frac{1431\,x^2}{65219}-\frac{12429\,x}{652190}+\frac{4427}{1304380}}{-x^3+\frac{2\,x^2}{5}+\frac{7\,x}{20}-\frac{3}{20}}","Not used",1,"(81*log(x + 2/3))/343 - (28296*log(x - 1/2))/5021863 - (3375*log(x + 3/5))/14641 + ((1431*x^2)/65219 - (12429*x)/652190 + 4427/1304380)/((7*x)/20 + (2*x^2)/5 - x^3 - 3/20)","B"
1694,1,55,75,0.043995,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^2*(5*x + 3)^2),x)","\frac{6156\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{92496\,\ln\left(x-\frac{1}{2}\right)}{35153041}-\frac{37500\,\ln\left(x+\frac{3}{5}\right)}{14641}+\frac{-\frac{79356\,x^3}{456533}+\frac{141632\,x^2}{2282665}+\frac{4381\,x}{65219}-\frac{743807}{27391980}}{x^4+\frac{4\,x^3}{15}-\frac{37\,x^2}{60}-\frac{x}{12}+\frac{1}{10}}","Not used",1,"(6156*log(x + 2/3))/2401 - (92496*log(x - 1/2))/35153041 - (37500*log(x + 3/5))/14641 + ((4381*x)/65219 + (141632*x^2)/2282665 - (79356*x^3)/456533 - 743807/27391980)/((4*x^3)/15 - (37*x^2)/60 - x/12 + x^4 + 1/10)","B"
1695,1,66,86,1.101811,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^3*(5*x + 3)^2),x)","\frac{333639\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{274224\,\ln\left(x-\frac{1}{2}\right)}{246071287}-\frac{290625\,\ln\left(x+\frac{3}{5}\right)}{14641}-\frac{\frac{4233189\,x^4}{3195731}+\frac{12722419\,x^3}{31957310}-\frac{159580369\,x^2}{191743860}-\frac{49162049\,x}{383487720}+\frac{160532983}{1150463160}}{x^5+\frac{14\,x^4}{15}-\frac{79\,x^3}{180}-\frac{89\,x^2}{180}+\frac{2\,x}{45}+\frac{1}{15}}","Not used",1,"(333639*log(x + 2/3))/16807 - (274224*log(x - 1/2))/246071287 - (290625*log(x + 3/5))/14641 - ((12722419*x^3)/31957310 - (159580369*x^2)/191743860 - (49162049*x)/383487720 + (4233189*x^4)/3195731 + 160532983/1150463160)/((2*x)/45 - (89*x^2)/180 - (79*x^3)/180 + (14*x^4)/15 + x^5 + 1/15)","B"
1696,1,76,97,0.047248,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^4*(5*x + 3)^2),x)","\frac{15820110\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{761760\,\ln\left(x-\frac{1}{2}\right)}{1722499009}-\frac{1968750\,\ln\left(x+\frac{3}{5}\right)}{14641}-\frac{\frac{200549610\,x^5}{22370117}+\frac{27695853\,x^4}{3195731}-\frac{171864619\,x^3}{44740234}-\frac{1240661509\,x^2}{268441404}+\frac{98810707\,x}{268441404}+\frac{7606921499}{12079863180}}{x^6+\frac{8\,x^5}{5}+\frac{11\,x^4}{60}-\frac{85\,x^3}{108}-\frac{77\,x^2}{270}+\frac{13\,x}{135}+\frac{2}{45}}","Not used",1,"(15820110*log(x + 2/3))/117649 - (761760*log(x - 1/2))/1722499009 - (1968750*log(x + 3/5))/14641 - ((98810707*x)/268441404 - (1240661509*x^2)/268441404 - (171864619*x^3)/44740234 + (27695853*x^4)/3195731 + (200549610*x^5)/22370117 + 7606921499/12079863180)/((13*x)/135 - (77*x^2)/270 - (85*x^3)/108 + (11*x^4)/60 + (8*x^5)/5 + x^6 + 2/45)","B"
1697,1,68,91,1.104691,"\text{Not used}","int(-(3*x + 2)^9/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{8202\,\ln\left(x+\frac{3}{5}\right)}{2516421875}-\frac{12657032367\,\ln\left(x-\frac{1}{2}\right)}{20614528}-\frac{50150097\,x}{100000}-\frac{-\frac{6755626170663\,x^3}{22876562500}-\frac{6920013076005537\,x^2}{29282000000000}+\frac{517480964491321\,x}{14641000000000}+\frac{1244386341093487}{29282000000000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}-\frac{7459857\,x^2}{50000}-\frac{373977\,x^3}{10000}-\frac{19683\,x^4}{4000}","Not used",1,"(8202*log(x + 3/5))/2516421875 - (12657032367*log(x - 1/2))/20614528 - (50150097*x)/100000 - ((517480964491321*x)/14641000000000 - (6920013076005537*x^2)/29282000000000 - (6755626170663*x^3)/22876562500 + 1244386341093487/29282000000000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100) - (7459857*x^2)/50000 - (373977*x^3)/10000 - (19683*x^4)/4000","B"
1698,1,63,84,1.083895,"\text{Not used}","int(-(3*x + 2)^8/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{1284\,\ln\left(x+\frac{3}{5}\right)}{100656875}-\frac{595421589\,\ln\left(x-\frac{1}{2}\right)}{5153632}-\frac{242028\,x}{3125}-\frac{-\frac{2045989633713\,x^3}{29282000000}-\frac{167989904414289\,x^2}{2928200000000}+\frac{9689497987007\,x}{1464100000000}+\frac{27910387088759}{2928200000000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}-\frac{330237\,x^2}{20000}-\frac{2187\,x^3}{1000}","Not used",1,"(1284*log(x + 3/5))/100656875 - (595421589*log(x - 1/2))/5153632 - (242028*x)/3125 - ((9689497987007*x)/1464100000000 - (167989904414289*x^2)/2928200000000 - (2045989633713*x^3)/29282000000 + 27910387088759/2928200000000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100) - (330237*x^2)/20000 - (2187*x^3)/1000","B"
1699,1,58,77,1.089102,"\text{Not used}","int(-(3*x + 2)^7/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{24279\,\ln\left(x+\frac{3}{5}\right)}{503284375}-\frac{25059237\,\ln\left(x-\frac{1}{2}\right)}{1288408}-\frac{95499\,x}{10000}-\frac{-\frac{115810726791\,x^3}{7320500000}-\frac{3950432948061\,x^2}{292820000000}+\frac{131252111833\,x}{146410000000}+\frac{579053717731}{292820000000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}-\frac{2187\,x^2}{2000}","Not used",1,"(24279*log(x + 3/5))/503284375 - (25059237*log(x - 1/2))/1288408 - (95499*x)/10000 - ((131252111833*x)/146410000000 - (3950432948061*x^2)/292820000000 - (115810726791*x^3)/7320500000 + 579053717731/292820000000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100) - (2187*x^2)/2000","B"
1700,1,52,70,1.090398,"\text{Not used}","int(-(3*x + 2)^6/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{17547\,\ln\left(x+\frac{3}{5}\right)}{100656875}-\frac{6950895\,\ln\left(x-\frac{1}{2}\right)}{2576816}-\frac{729\,x}{1000}+\frac{\frac{4884527847\,x^3}{1464100000}+\frac{17720890929\,x^2}{5856400000}+\frac{16387753\,x}{585640000}-\frac{2060962327}{5856400000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(17547*log(x + 3/5))/100656875 - (6950895*log(x - 1/2))/2576816 - (729*x)/1000 + ((16387753*x)/585640000 + (17720890929*x^2)/5856400000 + (4884527847*x^3)/1464100000 - 2060962327/5856400000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1701,1,49,65,0.098378,"\text{Not used}","int(-(3*x + 2)^5/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{11904\,\ln\left(x+\frac{3}{5}\right)}{20131375}-\frac{313845\,\ln\left(x-\frac{1}{2}\right)}{1288408}+\frac{\frac{22508691\,x^3}{36602500}+\frac{1838287161\,x^2}{2928200000}+\frac{130564127\,x}{1464100000}-\frac{116156671}{2928200000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(11904*log(x + 3/5))/20131375 - (313845*log(x - 1/2))/1288408 + ((130564127*x)/1464100000 + (1838287161*x^2)/2928200000 + (22508691*x^3)/36602500 - 116156671/2928200000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1702,1,45,65,1.064248,"\text{Not used}","int(-(3*x + 2)^4/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{588\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{161051}+\frac{\frac{1156521\,x^3}{14641000}+\frac{32722281\,x^2}{292820000}+\frac{7129777\,x}{146410000}+\frac{1771669}{292820000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(588*atanh((20*x)/11 + 1/11))/161051 + ((7129777*x)/146410000 + (32722281*x^2)/292820000 + (1156521*x^3)/14641000 + 1771669/292820000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1703,1,45,65,1.071184,"\text{Not used}","int(-(3*x + 2)^3/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{1554\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{161051}+\frac{-\frac{777\,x^3}{146410}+\frac{371997\,x^2}{29282000}+\frac{302129\,x}{14641000}+\frac{194963}{29282000}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(1554*atanh((20*x)/11 + 1/11))/161051 + ((302129*x)/14641000 + (371997*x^2)/29282000 - (777*x^3)/146410 + 194963/29282000)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1704,1,45,65,0.041191,"\text{Not used}","int(-(3*x + 2)^2/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{3018\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{161051}+\frac{-\frac{1509\,x^3}{146410}-\frac{4527\,x^2}{2928200}+\frac{11887\,x}{1464100}+\frac{4661}{1464100}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(3018*atanh((20*x)/11 + 1/11))/161051 + ((11887*x)/1464100 - (4527*x^2)/2928200 - (1509*x^3)/146410 + 4661/1464100)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1705,1,45,65,0.041151,"\text{Not used}","int(-(3*x + 2)/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{2220\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{161051}+\frac{-\frac{111\,x^3}{14641}-\frac{333\,x^2}{292820}+\frac{5513\,x}{1464100}+\frac{2753}{2928200}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(2220*atanh((20*x)/11 + 1/11))/161051 + ((5513*x)/1464100 - (333*x^2)/292820 - (111*x^3)/14641 + 2753/2928200)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1706,1,45,65,1.060690,"\text{Not used}","int(-1/((2*x - 1)^3*(5*x + 3)^3),x)","\frac{1200\,\mathrm{atanh}\left(\frac{20\,x}{11}+\frac{1}{11}\right)}{161051}+\frac{-\frac{60\,x^3}{14641}-\frac{9\,x^2}{14641}+\frac{149\,x}{73205}+\frac{301}{2928200}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(1200*atanh((20*x)/11 + 1/11))/161051 + ((149*x)/73205 - (9*x^2)/14641 - (60*x^3)/14641 + 301/2928200)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1707,1,56,75,1.071504,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)*(5*x + 3)^3),x)","\frac{114375\,\ln\left(x+\frac{3}{5}\right)}{161051}-\frac{243\,\ln\left(x+\frac{2}{3}\right)}{343}-\frac{95232\,\ln\left(x-\frac{1}{2}\right)}{55240493}-\frac{-\frac{32523\,x^3}{717409}+\frac{21267\,x^2}{1024870}+\frac{1000387\,x}{71740900}-\frac{950291}{143481800}}{x^4+\frac{x^3}{5}-\frac{59\,x^2}{100}-\frac{3\,x}{50}+\frac{9}{100}}","Not used",1,"(114375*log(x + 3/5))/161051 - (243*log(x + 2/3))/343 - (95232*log(x - 1/2))/55240493 - ((1000387*x)/71740900 + (21267*x^2)/1024870 - (32523*x^3)/717409 - 950291/143481800)/(x^3/5 - (59*x^2)/100 - (3*x)/50 + x^4 + 9/100)","B"
1708,1,65,86,0.044146,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^2*(5*x + 3)^3),x)","\frac{1809375\,\ln\left(x+\frac{3}{5}\right)}{161051}-\frac{26973\,\ln\left(x+\frac{2}{3}\right)}{2401}-\frac{280752\,\ln\left(x-\frac{1}{2}\right)}{386683451}+\frac{\frac{3757053\,x^4}{5021863}+\frac{8743061\,x^3}{50218630}-\frac{227037017\,x^2}{502186300}-\frac{6365651\,x}{120524712}+\frac{53448539}{753279450}}{x^5+\frac{13\,x^4}{15}-\frac{137\,x^3}{300}-\frac{34\,x^2}{75}+\frac{x}{20}+\frac{3}{50}}","Not used",1,"(1809375*log(x + 3/5))/161051 - (26973*log(x + 2/3))/2401 - (280752*log(x - 1/2))/386683451 + ((8743061*x^3)/50218630 - (227037017*x^2)/502186300 - (6365651*x)/120524712 + (3757053*x^4)/5021863 + 53448539/753279450)/(x/20 - (34*x^2)/75 - (137*x^3)/300 + (13*x^4)/15 + x^5 + 3/50)","B"
1709,1,75,97,1.071527,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^3*(5*x + 3)^3),x)","\frac{18637500\,\ln\left(x+\frac{3}{5}\right)}{161051}-\frac{1944972\,\ln\left(x+\frac{2}{3}\right)}{16807}-\frac{776928\,\ln\left(x-\frac{1}{2}\right)}{2706784157}+\frac{\frac{271192092\,x^5}{35153041}+\frac{1220332042\,x^4}{175765205}-\frac{9123097021\,x^3}{2636478075}-\frac{9632972269\,x^2}{2636478075}+\frac{5798827693\,x}{15818868450}+\frac{30858356237}{63275473800}}{x^6+\frac{23\,x^5}{15}+\frac{109\,x^4}{900}-\frac{341\,x^3}{450}-\frac{227\,x^2}{900}+\frac{7\,x}{75}+\frac{1}{25}}","Not used",1,"(18637500*log(x + 3/5))/161051 - (1944972*log(x + 2/3))/16807 - (776928*log(x - 1/2))/2706784157 + ((5798827693*x)/15818868450 - (9632972269*x^2)/2636478075 - (9123097021*x^3)/2636478075 + (1220332042*x^4)/175765205 + (271192092*x^5)/35153041 + 30858356237/63275473800)/((7*x)/75 - (227*x^2)/900 - (341*x^3)/450 + (109*x^4)/900 + (23*x^5)/15 + x^6 + 1/25)","B"
1710,1,85,108,0.048928,"\text{Not used}","int(-1/((2*x - 1)^3*(3*x + 2)^4*(5*x + 3)^3),x)","\frac{158156250\,\ln\left(x+\frac{3}{5}\right)}{161051}-\frac{115534350\,\ln\left(x+\frac{2}{3}\right)}{117649}-\frac{2054400\,\ln\left(x-\frac{1}{2}\right)}{18947489099}+\frac{\frac{16109860350\,x^6}{246071287}+\frac{25238764095\,x^5}{246071287}+\frac{443693927\,x^4}{44740234}-\frac{448090660357\,x^3}{8858566332}-\frac{2357054629\,x^2}{134220702}+\frac{687587393\,x}{110685960}+\frac{458281924174}{166098118725}}{x^7+\frac{11\,x^6}{5}+\frac{343\,x^5}{300}-\frac{457\,x^4}{675}-\frac{409\,x^3}{540}-\frac{101\,x^2}{1350}+\frac{23\,x}{225}+\frac{2}{75}}","Not used",1,"(158156250*log(x + 3/5))/161051 - (115534350*log(x + 2/3))/117649 - (2054400*log(x - 1/2))/18947489099 + ((687587393*x)/110685960 - (2357054629*x^2)/134220702 - (448090660357*x^3)/8858566332 + (443693927*x^4)/44740234 + (25238764095*x^5)/246071287 + (16109860350*x^6)/246071287 + 458281924174/166098118725)/((23*x)/225 - (101*x^2)/1350 - (409*x^3)/540 - (457*x^4)/675 + (343*x^5)/300 + (11*x^6)/5 + x^7 + 2/75)","B"
1711,1,787,361,1.232345,"\text{Not used}","int((e + f*x)^3*(a + b*x)^3*(c + d*x)^3,x)","x^7\,\left(\frac{a^3\,d^3\,f^3}{7}+\frac{9\,a^2\,b\,c\,d^2\,f^3}{7}+\frac{9\,a^2\,b\,d^3\,e\,f^2}{7}+\frac{9\,a\,b^2\,c^2\,d\,f^3}{7}+\frac{27\,a\,b^2\,c\,d^2\,e\,f^2}{7}+\frac{9\,a\,b^2\,d^3\,e^2\,f}{7}+\frac{b^3\,c^3\,f^3}{7}+\frac{9\,b^3\,c^2\,d\,e\,f^2}{7}+\frac{9\,b^3\,c\,d^2\,e^2\,f}{7}+\frac{b^3\,d^3\,e^3}{7}\right)+x^5\,\left(\frac{3\,a^3\,c^2\,d\,f^3}{5}+\frac{9\,a^3\,c\,d^2\,e\,f^2}{5}+\frac{3\,a^3\,d^3\,e^2\,f}{5}+\frac{3\,a^2\,b\,c^3\,f^3}{5}+\frac{27\,a^2\,b\,c^2\,d\,e\,f^2}{5}+\frac{27\,a^2\,b\,c\,d^2\,e^2\,f}{5}+\frac{3\,a^2\,b\,d^3\,e^3}{5}+\frac{9\,a\,b^2\,c^3\,e\,f^2}{5}+\frac{27\,a\,b^2\,c^2\,d\,e^2\,f}{5}+\frac{9\,a\,b^2\,c\,d^2\,e^3}{5}+\frac{3\,b^3\,c^3\,e^2\,f}{5}+\frac{3\,b^3\,c^2\,d\,e^3}{5}\right)+x^6\,\left(\frac{a^3\,c\,d^2\,f^3}{2}+\frac{a^3\,d^3\,e\,f^2}{2}+\frac{3\,a^2\,b\,c^2\,d\,f^3}{2}+\frac{9\,a^2\,b\,c\,d^2\,e\,f^2}{2}+\frac{3\,a^2\,b\,d^3\,e^2\,f}{2}+\frac{a\,b^2\,c^3\,f^3}{2}+\frac{9\,a\,b^2\,c^2\,d\,e\,f^2}{2}+\frac{9\,a\,b^2\,c\,d^2\,e^2\,f}{2}+\frac{a\,b^2\,d^3\,e^3}{2}+\frac{b^3\,c^3\,e\,f^2}{2}+\frac{3\,b^3\,c^2\,d\,e^2\,f}{2}+\frac{b^3\,c\,d^2\,e^3}{2}\right)+x^4\,\left(\frac{a^3\,c^3\,f^3}{4}+\frac{9\,a^3\,c^2\,d\,e\,f^2}{4}+\frac{9\,a^3\,c\,d^2\,e^2\,f}{4}+\frac{a^3\,d^3\,e^3}{4}+\frac{9\,a^2\,b\,c^3\,e\,f^2}{4}+\frac{27\,a^2\,b\,c^2\,d\,e^2\,f}{4}+\frac{9\,a^2\,b\,c\,d^2\,e^3}{4}+\frac{9\,a\,b^2\,c^3\,e^2\,f}{4}+\frac{9\,a\,b^2\,c^2\,d\,e^3}{4}+\frac{b^3\,c^3\,e^3}{4}\right)+a^3\,c^3\,e^3\,x+\frac{b^3\,d^3\,f^3\,x^{10}}{10}+\frac{3\,a^2\,c^2\,e^2\,x^2\,\left(a\,c\,f+a\,d\,e+b\,c\,e\right)}{2}+\frac{b^2\,d^2\,f^2\,x^9\,\left(a\,d\,f+b\,c\,f+b\,d\,e\right)}{3}+a\,c\,e\,x^3\,\left(a^2\,c^2\,f^2+3\,a^2\,c\,d\,e\,f+a^2\,d^2\,e^2+3\,a\,b\,c^2\,e\,f+3\,a\,b\,c\,d\,e^2+b^2\,c^2\,e^2\right)+\frac{3\,b\,d\,f\,x^8\,\left(a^2\,d^2\,f^2+3\,a\,b\,c\,d\,f^2+3\,a\,b\,d^2\,e\,f+b^2\,c^2\,f^2+3\,b^2\,c\,d\,e\,f+b^2\,d^2\,e^2\right)}{8}","Not used",1,"x^7*((a^3*d^3*f^3)/7 + (b^3*c^3*f^3)/7 + (b^3*d^3*e^3)/7 + (9*a*b^2*c^2*d*f^3)/7 + (9*a^2*b*c*d^2*f^3)/7 + (9*a*b^2*d^3*e^2*f)/7 + (9*a^2*b*d^3*e*f^2)/7 + (9*b^3*c*d^2*e^2*f)/7 + (9*b^3*c^2*d*e*f^2)/7 + (27*a*b^2*c*d^2*e*f^2)/7) + x^5*((3*a^2*b*c^3*f^3)/5 + (3*a^2*b*d^3*e^3)/5 + (3*a^3*c^2*d*f^3)/5 + (3*b^3*c^2*d*e^3)/5 + (3*a^3*d^3*e^2*f)/5 + (3*b^3*c^3*e^2*f)/5 + (9*a*b^2*c*d^2*e^3)/5 + (9*a*b^2*c^3*e*f^2)/5 + (9*a^3*c*d^2*e*f^2)/5 + (27*a*b^2*c^2*d*e^2*f)/5 + (27*a^2*b*c*d^2*e^2*f)/5 + (27*a^2*b*c^2*d*e*f^2)/5) + x^6*((a*b^2*c^3*f^3)/2 + (a*b^2*d^3*e^3)/2 + (a^3*c*d^2*f^3)/2 + (b^3*c*d^2*e^3)/2 + (a^3*d^3*e*f^2)/2 + (b^3*c^3*e*f^2)/2 + (3*a^2*b*c^2*d*f^3)/2 + (3*a^2*b*d^3*e^2*f)/2 + (3*b^3*c^2*d*e^2*f)/2 + (9*a*b^2*c*d^2*e^2*f)/2 + (9*a*b^2*c^2*d*e*f^2)/2 + (9*a^2*b*c*d^2*e*f^2)/2) + x^4*((a^3*c^3*f^3)/4 + (a^3*d^3*e^3)/4 + (b^3*c^3*e^3)/4 + (9*a*b^2*c^2*d*e^3)/4 + (9*a^2*b*c*d^2*e^3)/4 + (9*a*b^2*c^3*e^2*f)/4 + (9*a^2*b*c^3*e*f^2)/4 + (9*a^3*c*d^2*e^2*f)/4 + (9*a^3*c^2*d*e*f^2)/4 + (27*a^2*b*c^2*d*e^2*f)/4) + a^3*c^3*e^3*x + (b^3*d^3*f^3*x^10)/10 + (3*a^2*c^2*e^2*x^2*(a*c*f + a*d*e + b*c*e))/2 + (b^2*d^2*f^2*x^9*(a*d*f + b*c*f + b*d*e))/3 + a*c*e*x^3*(a^2*c^2*f^2 + a^2*d^2*e^2 + b^2*c^2*e^2 + 3*a*b*c*d*e^2 + 3*a*b*c^2*e*f + 3*a^2*c*d*e*f) + (3*b*d*f*x^8*(a^2*d^2*f^2 + b^2*c^2*f^2 + b^2*d^2*e^2 + 3*a*b*c*d*f^2 + 3*a*b*d^2*e*f + 3*b^2*c*d*e*f))/8","B"
1712,1,270,193,1.101663,"\text{Not used}","int((e + f*x)^2*(a + b*x)^2*(c + d*x)^2,x)","x^4\,\left(\frac{a^2\,c\,d\,f^2}{2}+\frac{a^2\,d^2\,e\,f}{2}+\frac{a\,b\,c^2\,f^2}{2}+2\,a\,b\,c\,d\,e\,f+\frac{a\,b\,d^2\,e^2}{2}+\frac{b^2\,c^2\,e\,f}{2}+\frac{b^2\,c\,d\,e^2}{2}\right)+x^3\,\left(\frac{a^2\,c^2\,f^2}{3}+\frac{4\,a^2\,c\,d\,e\,f}{3}+\frac{a^2\,d^2\,e^2}{3}+\frac{4\,a\,b\,c^2\,e\,f}{3}+\frac{4\,a\,b\,c\,d\,e^2}{3}+\frac{b^2\,c^2\,e^2}{3}\right)+x^5\,\left(\frac{a^2\,d^2\,f^2}{5}+\frac{4\,a\,b\,c\,d\,f^2}{5}+\frac{4\,a\,b\,d^2\,e\,f}{5}+\frac{b^2\,c^2\,f^2}{5}+\frac{4\,b^2\,c\,d\,e\,f}{5}+\frac{b^2\,d^2\,e^2}{5}\right)+a^2\,c^2\,e^2\,x+\frac{b^2\,d^2\,f^2\,x^7}{7}+a\,c\,e\,x^2\,\left(a\,c\,f+a\,d\,e+b\,c\,e\right)+\frac{b\,d\,f\,x^6\,\left(a\,d\,f+b\,c\,f+b\,d\,e\right)}{3}","Not used",1,"x^4*((a*b*c^2*f^2)/2 + (a*b*d^2*e^2)/2 + (a^2*c*d*f^2)/2 + (b^2*c*d*e^2)/2 + (a^2*d^2*e*f)/2 + (b^2*c^2*e*f)/2 + 2*a*b*c*d*e*f) + x^3*((a^2*c^2*f^2)/3 + (a^2*d^2*e^2)/3 + (b^2*c^2*e^2)/3 + (4*a*b*c*d*e^2)/3 + (4*a*b*c^2*e*f)/3 + (4*a^2*c*d*e*f)/3) + x^5*((a^2*d^2*f^2)/5 + (b^2*c^2*f^2)/5 + (b^2*d^2*e^2)/5 + (4*a*b*c*d*f^2)/5 + (4*a*b*d^2*e*f)/5 + (4*b^2*c*d*e*f)/5) + a^2*c^2*e^2*x + (b^2*d^2*f^2*x^7)/7 + a*c*e*x^2*(a*c*f + a*d*e + b*c*e) + (b*d*f*x^6*(a*d*f + b*c*f + b*d*e))/3","B"
1713,1,54,56,0.045394,"\text{Not used}","int((e + f*x)*(a + b*x)*(c + d*x),x)","\frac{b\,d\,f\,x^4}{4}+\left(\frac{a\,d\,f}{3}+\frac{b\,c\,f}{3}+\frac{b\,d\,e}{3}\right)\,x^3+\left(\frac{a\,c\,f}{2}+\frac{a\,d\,e}{2}+\frac{b\,c\,e}{2}\right)\,x^2+a\,c\,e\,x","Not used",1,"x^2*((a*c*f)/2 + (a*d*e)/2 + (b*c*e)/2) + x^3*((a*d*f)/3 + (b*c*f)/3 + (b*d*e)/3) + a*c*e*x + (b*d*f*x^4)/4","B"
1714,1,106,86,1.384476,"\text{Not used}","int(1/((e + f*x)*(a + b*x)*(c + d*x)),x)","\frac{b\,\ln\left(a+b\,x\right)}{b^2\,c\,e+a^2\,d\,f-a\,b\,c\,f-a\,b\,d\,e}+\frac{d\,\ln\left(c+d\,x\right)}{a\,d^2\,e+b\,c^2\,f-a\,c\,d\,f-b\,c\,d\,e}+\frac{f\,\ln\left(e+f\,x\right)}{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}","Not used",1,"(b*log(a + b*x))/(b^2*c*e + a^2*d*f - a*b*c*f - a*b*d*e) + (d*log(c + d*x))/(a*d^2*e + b*c^2*f - a*c*d*f - b*c*d*e) + (f*log(e + f*x))/(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)","B"
1715,1,1940,234,7.104450,"\text{Not used}","int(1/((e + f*x)^2*(a + b*x)^2*(c + d*x)^2),x)","-\frac{\frac{a^3\,c\,d^2\,f^3+a^3\,d^3\,e\,f^2-2\,a^2\,b\,c^2\,d\,f^3-2\,a^2\,b\,d^3\,e^2\,f+a\,b^2\,c^3\,f^3+a\,b^2\,d^3\,e^3+b^3\,c^3\,e\,f^2-2\,b^3\,c^2\,d\,e^2\,f+b^3\,c\,d^2\,e^3}{a^4\,c^2\,d^2\,f^4-2\,a^4\,c\,d^3\,e\,f^3+a^4\,d^4\,e^2\,f^2-2\,a^3\,b\,c^3\,d\,f^4+2\,a^3\,b\,c^2\,d^2\,e\,f^3+2\,a^3\,b\,c\,d^3\,e^2\,f^2-2\,a^3\,b\,d^4\,e^3\,f+a^2\,b^2\,c^4\,f^4+2\,a^2\,b^2\,c^3\,d\,e\,f^3-6\,a^2\,b^2\,c^2\,d^2\,e^2\,f^2+2\,a^2\,b^2\,c\,d^3\,e^3\,f+a^2\,b^2\,d^4\,e^4-2\,a\,b^3\,c^4\,e\,f^3+2\,a\,b^3\,c^3\,d\,e^2\,f^2+2\,a\,b^3\,c^2\,d^2\,e^3\,f-2\,a\,b^3\,c\,d^3\,e^4+b^4\,c^4\,e^2\,f^2-2\,b^4\,c^3\,d\,e^3\,f+b^4\,c^2\,d^2\,e^4}+\frac{2\,x^2\,\left(a^2\,b\,d^3\,f^3-a\,b^2\,c\,d^2\,f^3-a\,b^2\,d^3\,e\,f^2+b^3\,c^2\,d\,f^3-b^3\,c\,d^2\,e\,f^2+b^3\,d^3\,e^2\,f\right)}{a^4\,c^2\,d^2\,f^4-2\,a^4\,c\,d^3\,e\,f^3+a^4\,d^4\,e^2\,f^2-2\,a^3\,b\,c^3\,d\,f^4+2\,a^3\,b\,c^2\,d^2\,e\,f^3+2\,a^3\,b\,c\,d^3\,e^2\,f^2-2\,a^3\,b\,d^4\,e^3\,f+a^2\,b^2\,c^4\,f^4+2\,a^2\,b^2\,c^3\,d\,e\,f^3-6\,a^2\,b^2\,c^2\,d^2\,e^2\,f^2+2\,a^2\,b^2\,c\,d^3\,e^3\,f+a^2\,b^2\,d^4\,e^4-2\,a\,b^3\,c^4\,e\,f^3+2\,a\,b^3\,c^3\,d\,e^2\,f^2+2\,a\,b^3\,c^2\,d^2\,e^3\,f-2\,a\,b^3\,c\,d^3\,e^4+b^4\,c^4\,e^2\,f^2-2\,b^4\,c^3\,d\,e^3\,f+b^4\,c^2\,d^2\,e^4}-\frac{x\,\left(-2\,a^3\,d^3\,f^3+a^2\,b\,c\,d^2\,f^3+a^2\,b\,d^3\,e\,f^2+a\,b^2\,c^2\,d\,f^3+a\,b^2\,d^3\,e^2\,f-2\,b^3\,c^3\,f^3+b^3\,c^2\,d\,e\,f^2+b^3\,c\,d^2\,e^2\,f-2\,b^3\,d^3\,e^3\right)}{a^4\,c^2\,d^2\,f^4-2\,a^4\,c\,d^3\,e\,f^3+a^4\,d^4\,e^2\,f^2-2\,a^3\,b\,c^3\,d\,f^4+2\,a^3\,b\,c^2\,d^2\,e\,f^3+2\,a^3\,b\,c\,d^3\,e^2\,f^2-2\,a^3\,b\,d^4\,e^3\,f+a^2\,b^2\,c^4\,f^4+2\,a^2\,b^2\,c^3\,d\,e\,f^3-6\,a^2\,b^2\,c^2\,d^2\,e^2\,f^2+2\,a^2\,b^2\,c\,d^3\,e^3\,f+a^2\,b^2\,d^4\,e^4-2\,a\,b^3\,c^4\,e\,f^3+2\,a\,b^3\,c^3\,d\,e^2\,f^2+2\,a\,b^3\,c^2\,d^2\,e^3\,f-2\,a\,b^3\,c\,d^3\,e^4+b^4\,c^4\,e^2\,f^2-2\,b^4\,c^3\,d\,e^3\,f+b^4\,c^2\,d^2\,e^4}}{b\,d\,f\,x^3+\left(a\,d\,f+b\,c\,f+b\,d\,e\right)\,x^2+\left(a\,c\,f+a\,d\,e+b\,c\,e\right)\,x+a\,c\,e}-\frac{\ln\left(a+b\,x\right)\,\left(b^4\,\left(2\,c\,f+2\,d\,e\right)-4\,a\,b^3\,d\,f\right)}{a^6\,d^3\,f^3-3\,a^5\,b\,c\,d^2\,f^3-3\,a^5\,b\,d^3\,e\,f^2+3\,a^4\,b^2\,c^2\,d\,f^3+9\,a^4\,b^2\,c\,d^2\,e\,f^2+3\,a^4\,b^2\,d^3\,e^2\,f-a^3\,b^3\,c^3\,f^3-9\,a^3\,b^3\,c^2\,d\,e\,f^2-9\,a^3\,b^3\,c\,d^2\,e^2\,f-a^3\,b^3\,d^3\,e^3+3\,a^2\,b^4\,c^3\,e\,f^2+9\,a^2\,b^4\,c^2\,d\,e^2\,f+3\,a^2\,b^4\,c\,d^2\,e^3-3\,a\,b^5\,c^3\,e^2\,f-3\,a\,b^5\,c^2\,d\,e^3+b^6\,c^3\,e^3}-\frac{\ln\left(c+d\,x\right)\,\left(d^4\,\left(2\,a\,f+2\,b\,e\right)-4\,b\,c\,d^3\,f\right)}{-a^3\,c^3\,d^3\,f^3+3\,a^3\,c^2\,d^4\,e\,f^2-3\,a^3\,c\,d^5\,e^2\,f+a^3\,d^6\,e^3+3\,a^2\,b\,c^4\,d^2\,f^3-9\,a^2\,b\,c^3\,d^3\,e\,f^2+9\,a^2\,b\,c^2\,d^4\,e^2\,f-3\,a^2\,b\,c\,d^5\,e^3-3\,a\,b^2\,c^5\,d\,f^3+9\,a\,b^2\,c^4\,d^2\,e\,f^2-9\,a\,b^2\,c^3\,d^3\,e^2\,f+3\,a\,b^2\,c^2\,d^4\,e^3+b^3\,c^6\,f^3-3\,b^3\,c^5\,d\,e\,f^2+3\,b^3\,c^4\,d^2\,e^2\,f-b^3\,c^3\,d^3\,e^3}-\frac{\ln\left(e+f\,x\right)\,\left(f^4\,\left(2\,a\,d+2\,b\,c\right)-4\,b\,d\,e\,f^3\right)}{a^3\,c^3\,f^6-3\,a^3\,c^2\,d\,e\,f^5+3\,a^3\,c\,d^2\,e^2\,f^4-a^3\,d^3\,e^3\,f^3-3\,a^2\,b\,c^3\,e\,f^5+9\,a^2\,b\,c^2\,d\,e^2\,f^4-9\,a^2\,b\,c\,d^2\,e^3\,f^3+3\,a^2\,b\,d^3\,e^4\,f^2+3\,a\,b^2\,c^3\,e^2\,f^4-9\,a\,b^2\,c^2\,d\,e^3\,f^3+9\,a\,b^2\,c\,d^2\,e^4\,f^2-3\,a\,b^2\,d^3\,e^5\,f-b^3\,c^3\,e^3\,f^3+3\,b^3\,c^2\,d\,e^4\,f^2-3\,b^3\,c\,d^2\,e^5\,f+b^3\,d^3\,e^6}","Not used",1,"- ((a*b^2*c^3*f^3 + a*b^2*d^3*e^3 + a^3*c*d^2*f^3 + b^3*c*d^2*e^3 + a^3*d^3*e*f^2 + b^3*c^3*e*f^2 - 2*a^2*b*c^2*d*f^3 - 2*a^2*b*d^3*e^2*f - 2*b^3*c^2*d*e^2*f)/(a^2*b^2*c^4*f^4 + a^2*b^2*d^4*e^4 + a^4*c^2*d^2*f^4 + b^4*c^2*d^2*e^4 + a^4*d^4*e^2*f^2 + b^4*c^4*e^2*f^2 - 2*a*b^3*c*d^3*e^4 - 2*a^3*b*c^3*d*f^4 - 2*a*b^3*c^4*e*f^3 - 2*a^3*b*d^4*e^3*f - 2*a^4*c*d^3*e*f^3 - 2*b^4*c^3*d*e^3*f + 2*a*b^3*c^2*d^2*e^3*f + 2*a*b^3*c^3*d*e^2*f^2 + 2*a^2*b^2*c*d^3*e^3*f + 2*a^2*b^2*c^3*d*e*f^3 + 2*a^3*b*c*d^3*e^2*f^2 + 2*a^3*b*c^2*d^2*e*f^3 - 6*a^2*b^2*c^2*d^2*e^2*f^2) + (2*x^2*(a^2*b*d^3*f^3 + b^3*c^2*d*f^3 + b^3*d^3*e^2*f - a*b^2*c*d^2*f^3 - a*b^2*d^3*e*f^2 - b^3*c*d^2*e*f^2))/(a^2*b^2*c^4*f^4 + a^2*b^2*d^4*e^4 + a^4*c^2*d^2*f^4 + b^4*c^2*d^2*e^4 + a^4*d^4*e^2*f^2 + b^4*c^4*e^2*f^2 - 2*a*b^3*c*d^3*e^4 - 2*a^3*b*c^3*d*f^4 - 2*a*b^3*c^4*e*f^3 - 2*a^3*b*d^4*e^3*f - 2*a^4*c*d^3*e*f^3 - 2*b^4*c^3*d*e^3*f + 2*a*b^3*c^2*d^2*e^3*f + 2*a*b^3*c^3*d*e^2*f^2 + 2*a^2*b^2*c*d^3*e^3*f + 2*a^2*b^2*c^3*d*e*f^3 + 2*a^3*b*c*d^3*e^2*f^2 + 2*a^3*b*c^2*d^2*e*f^3 - 6*a^2*b^2*c^2*d^2*e^2*f^2) - (x*(a*b^2*c^2*d*f^3 - 2*b^3*c^3*f^3 - 2*b^3*d^3*e^3 - 2*a^3*d^3*f^3 + a^2*b*c*d^2*f^3 + a*b^2*d^3*e^2*f + a^2*b*d^3*e*f^2 + b^3*c*d^2*e^2*f + b^3*c^2*d*e*f^2))/(a^2*b^2*c^4*f^4 + a^2*b^2*d^4*e^4 + a^4*c^2*d^2*f^4 + b^4*c^2*d^2*e^4 + a^4*d^4*e^2*f^2 + b^4*c^4*e^2*f^2 - 2*a*b^3*c*d^3*e^4 - 2*a^3*b*c^3*d*f^4 - 2*a*b^3*c^4*e*f^3 - 2*a^3*b*d^4*e^3*f - 2*a^4*c*d^3*e*f^3 - 2*b^4*c^3*d*e^3*f + 2*a*b^3*c^2*d^2*e^3*f + 2*a*b^3*c^3*d*e^2*f^2 + 2*a^2*b^2*c*d^3*e^3*f + 2*a^2*b^2*c^3*d*e*f^3 + 2*a^3*b*c*d^3*e^2*f^2 + 2*a^3*b*c^2*d^2*e*f^3 - 6*a^2*b^2*c^2*d^2*e^2*f^2))/(x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3) - (log(a + b*x)*(b^4*(2*c*f + 2*d*e) - 4*a*b^3*d*f))/(b^6*c^3*e^3 + a^6*d^3*f^3 - a^3*b^3*c^3*f^3 - a^3*b^3*d^3*e^3 - 3*a*b^5*c^2*d*e^3 - 3*a^5*b*c*d^2*f^3 - 3*a*b^5*c^3*e^2*f - 3*a^5*b*d^3*e*f^2 + 3*a^2*b^4*c*d^2*e^3 + 3*a^4*b^2*c^2*d*f^3 + 3*a^2*b^4*c^3*e*f^2 + 3*a^4*b^2*d^3*e^2*f + 9*a^2*b^4*c^2*d*e^2*f - 9*a^3*b^3*c*d^2*e^2*f - 9*a^3*b^3*c^2*d*e*f^2 + 9*a^4*b^2*c*d^2*e*f^2) - (log(c + d*x)*(d^4*(2*a*f + 2*b*e) - 4*b*c*d^3*f))/(a^3*d^6*e^3 + b^3*c^6*f^3 - a^3*c^3*d^3*f^3 - b^3*c^3*d^3*e^3 - 3*a^2*b*c*d^5*e^3 - 3*a*b^2*c^5*d*f^3 - 3*a^3*c*d^5*e^2*f - 3*b^3*c^5*d*e*f^2 + 3*a*b^2*c^2*d^4*e^3 + 3*a^2*b*c^4*d^2*f^3 + 3*a^3*c^2*d^4*e*f^2 + 3*b^3*c^4*d^2*e^2*f - 9*a*b^2*c^3*d^3*e^2*f + 9*a*b^2*c^4*d^2*e*f^2 + 9*a^2*b*c^2*d^4*e^2*f - 9*a^2*b*c^3*d^3*e*f^2) - (log(e + f*x)*(f^4*(2*a*d + 2*b*c) - 4*b*d*e*f^3))/(a^3*c^3*f^6 + b^3*d^3*e^6 - a^3*d^3*e^3*f^3 - b^3*c^3*e^3*f^3 - 3*a^2*b*c^3*e*f^5 - 3*a*b^2*d^3*e^5*f - 3*a^3*c^2*d*e*f^5 - 3*b^3*c*d^2*e^5*f + 3*a*b^2*c^3*e^2*f^4 + 3*a^2*b*d^3*e^4*f^2 + 3*a^3*c*d^2*e^2*f^4 + 3*b^3*c^2*d*e^4*f^2 + 9*a*b^2*c*d^2*e^4*f^2 - 9*a*b^2*c^2*d*e^3*f^3 - 9*a^2*b*c*d^2*e^3*f^3 + 9*a^2*b*c^2*d*e^2*f^4)","B"
1716,1,82532,495,20.076026,"\text{Not used}","int(1/((e + f*x)^3*(a + b*x)^3*(c + d*x)^3),x)","\left(\sum 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1070*a^10*b^10*c^18*d^2*e^2*f^18*z^3 - 1070*a^10*b^10*c^2*d^18*e^18*f^2*z^3 - 1070*a^2*b^18*c^18*d^2*e^10*f^10*z^3 - 1070*a^2*b^18*c^10*d^10*e^18*f^2*z^3 + 525*a^18*b^2*c^8*d^12*e^4*f^16*z^3 + 525*a^18*b^2*c^4*d^16*e^8*f^12*z^3 + 525*a^16*b^4*c^12*d^8*e^2*f^18*z^3 + 525*a^16*b^4*c^2*d^18*e^12*f^8*z^3 + 525*a^12*b^8*c^16*d^4*e^2*f^18*z^3 + 525*a^12*b^8*c^2*d^18*e^16*f^4*z^3 + 525*a^8*b^12*c^18*d^2*e^4*f^16*z^3 + 525*a^8*b^12*c^4*d^16*e^18*f^2*z^3 + 525*a^4*b^16*c^18*d^2*e^8*f^12*z^3 + 525*a^4*b^16*c^8*d^12*e^18*f^2*z^3 + 525*a^2*b^18*c^16*d^4*e^12*f^8*z^3 + 525*a^2*b^18*c^12*d^8*e^16*f^4*z^3 + 900*a^19*b*c^7*d^13*e^4*f^16*z^3 + 900*a^19*b*c^4*d^16*e^7*f^13*z^3 + 900*a^16*b^4*c^13*d^7*e*f^19*z^3 + 900*a^16*b^4*c*d^19*e^13*f^7*z^3 + 900*a^13*b^7*c^16*d^4*e*f^19*z^3 + 900*a^13*b^7*c*d^19*e^16*f^4*z^3 + 900*a^7*b^13*c^19*d*e^4*f^16*z^3 + 900*a^7*b^13*c^4*d^16*e^19*f*z^3 + 900*a^4*b^16*c^19*d*e^7*f^13*z^3 + 900*a^4*b^16*c^7*d^13*e^19*f*z^3 + 900*a*b^19*c^16*d^4*e^13*f^7*z^3 + 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350*a^18*b^2*c*d^19*e^11*f^9*z^3 + 350*a^11*b^9*c^18*d^2*e*f^19*z^3 + 350*a^11*b^9*c*d^19*e^18*f^2*z^3 + 350*a^9*b^11*c^19*d*e^2*f^18*z^3 + 350*a^9*b^11*c^2*d^18*e^19*f*z^3 + 350*a^2*b^18*c^19*d*e^9*f^11*z^3 + 350*a^2*b^18*c^9*d^11*e^19*f*z^3 + 350*a*b^19*c^18*d^2*e^11*f^9*z^3 + 350*a*b^19*c^11*d^9*e^18*f^2*z^3 - 90*a^19*b*c^10*d^10*e*f^19*z^3 - 90*a^19*b*c*d^19*e^10*f^10*z^3 - 90*a^10*b^10*c^19*d*e*f^19*z^3 - 90*a^10*b^10*c*d^19*e^19*f*z^3 - 90*a*b^19*c^19*d*e^10*f^10*z^3 - 90*a*b^19*c^10*d^10*e^19*f*z^3 + 10*b^20*c^19*d*e^11*f^9*z^3 + 10*b^20*c^11*d^9*e^19*f*z^3 + 10*a^20*c^9*d^11*e*f^19*z^3 + 10*a^20*c*d^19*e^9*f^11*z^3 + 10*a^19*b*d^20*e^11*f^9*z^3 + 10*a^11*b^9*d^20*e^19*f*z^3 + 10*a^9*b^11*c^20*e*f^19*z^3 + 10*a*b^19*c^20*e^9*f^11*z^3 + 10*a^19*b*c^11*d^9*f^20*z^3 + 10*a^11*b^9*c^19*d*f^20*z^3 + 10*a^9*b^11*c*d^19*e^20*z^3 + 10*a*b^19*c^9*d^11*e^20*z^3 + 252*b^20*c^15*d^5*e^15*f^5*z^3 - 210*b^20*c^16*d^4*e^14*f^6*z^3 - 210*b^20*c^14*d^6*e^16*f^4*z^3 + 120*b^20*c^17*d^3*e^13*f^7*z^3 + 120*b^20*c^13*d^7*e^17*f^3*z^3 - 45*b^20*c^18*d^2*e^12*f^8*z^3 - 45*b^20*c^12*d^8*e^18*f^2*z^3 + 252*a^20*c^5*d^15*e^5*f^15*z^3 - 210*a^20*c^6*d^14*e^4*f^16*z^3 - 210*a^20*c^4*d^16*e^6*f^14*z^3 + 120*a^20*c^7*d^13*e^3*f^17*z^3 + 120*a^20*c^3*d^17*e^7*f^13*z^3 - 45*a^20*c^8*d^12*e^2*f^18*z^3 - 45*a^20*c^2*d^18*e^8*f^12*z^3 + 252*a^15*b^5*d^20*e^15*f^5*z^3 - 210*a^16*b^4*d^20*e^14*f^6*z^3 - 210*a^14*b^6*d^20*e^16*f^4*z^3 + 120*a^17*b^3*d^20*e^13*f^7*z^3 + 120*a^13*b^7*d^20*e^17*f^3*z^3 - 45*a^18*b^2*d^20*e^12*f^8*z^3 - 45*a^12*b^8*d^20*e^18*f^2*z^3 + 252*a^5*b^15*c^20*e^5*f^15*z^3 - 210*a^6*b^14*c^20*e^4*f^16*z^3 - 210*a^4*b^16*c^20*e^6*f^14*z^3 + 120*a^7*b^13*c^20*e^3*f^17*z^3 + 120*a^3*b^17*c^20*e^7*f^13*z^3 - 45*a^8*b^12*c^20*e^2*f^18*z^3 - 45*a^2*b^18*c^20*e^8*f^12*z^3 + 252*a^15*b^5*c^15*d^5*f^20*z^3 - 210*a^16*b^4*c^14*d^6*f^20*z^3 - 210*a^14*b^6*c^16*d^4*f^20*z^3 + 120*a^17*b^3*c^13*d^7*f^20*z^3 + 120*a^13*b^7*c^17*d^3*f^20*z^3 - 45*a^18*b^2*c^12*d^8*f^20*z^3 - 45*a^12*b^8*c^18*d^2*f^20*z^3 + 252*a^5*b^15*c^5*d^15*e^20*z^3 - 210*a^6*b^14*c^4*d^16*e^20*z^3 - 210*a^4*b^16*c^6*d^14*e^20*z^3 + 120*a^7*b^13*c^3*d^17*e^20*z^3 + 120*a^3*b^17*c^7*d^13*e^20*z^3 - 45*a^8*b^12*c^2*d^18*e^20*z^3 - 45*a^2*b^18*c^8*d^12*e^20*z^3 - b^20*c^20*e^10*f^10*z^3 - a^20*d^20*e^10*f^10*z^3 - b^20*c^10*d^10*e^20*z^3 - a^20*c^10*d^10*f^20*z^3 - a^10*b^10*d^20*e^20*z^3 - a^10*b^10*c^20*f^20*z^3 + 1890*a^12*b^2*c*d^13*e*f^13*z + 1890*a*b^13*c^12*d^2*e*f^13*z + 1890*a*b^13*c*d^13*e^12*f^2*z + 92610*a^6*b^8*c^4*d^10*e^4*f^10*z + 92610*a^4*b^10*c^6*d^8*e^4*f^10*z + 92610*a^4*b^10*c^4*d^10*e^6*f^8*z + 66150*a^8*b^6*c^3*d^11*e^3*f^11*z - 66150*a^7*b^7*c^4*d^10*e^3*f^11*z - 66150*a^7*b^7*c^3*d^11*e^4*f^10*z - 66150*a^4*b^10*c^7*d^7*e^3*f^11*z - 66150*a^4*b^10*c^3*d^11*e^7*f^7*z + 66150*a^3*b^11*c^8*d^6*e^3*f^11*z - 66150*a^3*b^11*c^7*d^7*e^4*f^10*z - 66150*a^3*b^11*c^4*d^10*e^7*f^7*z + 66150*a^3*b^11*c^3*d^11*e^8*f^6*z - 55566*a^5*b^9*c^5*d^9*e^4*f^10*z - 55566*a^5*b^9*c^4*d^10*e^5*f^9*z - 55566*a^4*b^10*c^5*d^9*e^5*f^9*z - 32130*a^9*b^5*c^3*d^11*e^2*f^12*z - 32130*a^9*b^5*c^2*d^12*e^3*f^11*z - 32130*a^3*b^11*c^9*d^5*e^2*f^12*z - 32130*a^3*b^11*c^2*d^12*e^9*f^5*z - 32130*a^2*b^12*c^9*d^5*e^3*f^11*z - 32130*a^2*b^12*c^3*d^11*e^9*f^5*z + 22680*a^8*b^6*c^4*d^10*e^2*f^12*z + 22680*a^8*b^6*c^2*d^12*e^4*f^10*z + 22680*a^4*b^10*c^8*d^6*e^2*f^12*z + 22680*a^4*b^10*c^2*d^12*e^8*f^6*z + 22680*a^2*b^12*c^8*d^6*e^4*f^10*z + 22680*a^2*b^12*c^4*d^10*e^8*f^6*z + 19278*a^10*b^4*c^2*d^12*e^2*f^12*z + 19278*a^2*b^12*c^10*d^4*e^2*f^12*z + 19278*a^2*b^12*c^2*d^12*e^10*f^4*z + 18522*a^6*b^8*c^5*d^9*e^3*f^11*z + 18522*a^6*b^8*c^3*d^11*e^5*f^9*z + 18522*a^5*b^9*c^6*d^8*e^3*f^11*z + 18522*a^5*b^9*c^3*d^11*e^6*f^8*z + 18522*a^3*b^11*c^6*d^8*e^5*f^9*z + 18522*a^3*b^11*c^5*d^9*e^6*f^8*z - 13230*a^6*b^8*c^6*d^8*e^2*f^12*z - 13230*a^6*b^8*c^2*d^12*e^6*f^8*z - 13230*a^2*b^12*c^6*d^8*e^6*f^8*z + 3402*a^7*b^7*c^5*d^9*e^2*f^12*z + 3402*a^7*b^7*c^2*d^12*e^5*f^9*z + 3402*a^5*b^9*c^7*d^7*e^2*f^12*z + 3402*a^5*b^9*c^2*d^12*e^7*f^7*z + 3402*a^2*b^12*c^7*d^7*e^5*f^9*z + 3402*a^2*b^12*c^5*d^9*e^7*f^7*z + 7938*a^10*b^4*c^3*d^11*e*f^13*z + 7938*a^10*b^4*c*d^13*e^3*f^11*z + 7938*a^3*b^11*c^10*d^4*e*f^13*z + 7938*a^3*b^11*c*d^13*e^10*f^4*z + 7938*a*b^13*c^10*d^4*e^3*f^11*z + 7938*a*b^13*c^3*d^11*e^10*f^4*z - 5670*a^11*b^3*c^2*d^12*e*f^13*z - 5670*a^11*b^3*c*d^13*e^2*f^12*z - 5670*a^2*b^12*c^11*d^3*e*f^13*z - 5670*a^2*b^12*c*d^13*e^11*f^3*z - 5670*a*b^13*c^11*d^3*e^2*f^12*z - 5670*a*b^13*c^2*d^12*e^11*f^3*z - 3780*a^9*b^5*c^4*d^10*e*f^13*z - 3780*a^9*b^5*c*d^13*e^4*f^10*z - 3780*a^4*b^10*c^9*d^5*e*f^13*z - 3780*a^4*b^10*c*d^13*e^9*f^5*z - 3780*a*b^13*c^9*d^5*e^4*f^10*z - 3780*a*b^13*c^4*d^10*e^9*f^5*z - 2268*a^8*b^6*c^5*d^9*e*f^13*z - 2268*a^8*b^6*c*d^13*e^5*f^9*z - 2268*a^5*b^9*c^8*d^6*e*f^13*z - 2268*a^5*b^9*c*d^13*e^8*f^6*z - 2268*a*b^13*c^8*d^6*e^5*f^9*z - 2268*a*b^13*c^5*d^9*e^8*f^6*z + 1890*a^7*b^7*c^6*d^8*e*f^13*z + 1890*a^7*b^7*c*d^13*e^6*f^8*z + 1890*a^6*b^8*c^7*d^7*e*f^13*z + 1890*a^6*b^8*c*d^13*e^7*f^7*z + 1890*a*b^13*c^7*d^7*e^6*f^8*z + 1890*a*b^13*c^6*d^8*e^7*f^7*z - 252*b^14*c^13*d*e*f^13*z - 252*b^14*c*d^13*e^13*f*z - 252*a^13*b*d^14*e*f^13*z - 252*a*b^13*d^14*e^13*f*z - 252*a^13*b*c*d^13*f^14*z - 252*a*b^13*c^13*d*f^14*z - 918*b^14*c^7*d^7*e^7*f^7*z - 882*b^14*c^11*d^3*e^3*f^11*z - 882*b^14*c^3*d^11*e^11*f^3*z + 693*b^14*c^12*d^2*e^2*f^12*z + 693*b^14*c^2*d^12*e^12*f^2*z + 567*b^14*c^8*d^6*e^6*f^8*z + 567*b^14*c^6*d^8*e^8*f^6*z + 441*b^14*c^10*d^4*e^4*f^10*z + 441*b^14*c^4*d^10*e^10*f^4*z - 126*b^14*c^9*d^5*e^5*f^9*z - 126*b^14*c^5*d^9*e^9*f^5*z - 918*a^7*b^7*d^14*e^7*f^7*z - 882*a^11*b^3*d^14*e^3*f^11*z - 882*a^3*b^11*d^14*e^11*f^3*z + 693*a^12*b^2*d^14*e^2*f^12*z + 693*a^2*b^12*d^14*e^12*f^2*z + 567*a^8*b^6*d^14*e^6*f^8*z + 567*a^6*b^8*d^14*e^8*f^6*z + 441*a^10*b^4*d^14*e^4*f^10*z + 441*a^4*b^10*d^14*e^10*f^4*z - 126*a^9*b^5*d^14*e^5*f^9*z - 126*a^5*b^9*d^14*e^9*f^5*z - 918*a^7*b^7*c^7*d^7*f^14*z - 882*a^11*b^3*c^3*d^11*f^14*z - 882*a^3*b^11*c^11*d^3*f^14*z + 693*a^12*b^2*c^2*d^12*f^14*z + 693*a^2*b^12*c^12*d^2*f^14*z + 567*a^8*b^6*c^6*d^8*f^14*z + 567*a^6*b^8*c^8*d^6*f^14*z + 441*a^10*b^4*c^4*d^10*f^14*z + 441*a^4*b^10*c^10*d^4*f^14*z - 126*a^9*b^5*c^5*d^9*f^14*z - 126*a^5*b^9*c^9*d^5*f^14*z + 36*b^14*d^14*e^14*z + 36*b^14*c^14*f^14*z + 36*a^14*d^14*f^14*z - 27054*a^2*b^9*c^2*d^9*e^2*f^9 + 9018*a^3*b^8*c^2*d^9*e*f^10 + 9018*a^3*b^8*c*d^10*e^2*f^9 + 9018*a^2*b^9*c^3*d^8*e*f^10 + 9018*a^2*b^9*c*d^10*e^3*f^8 + 9018*a*b^10*c^3*d^8*e^2*f^9 + 9018*a*b^10*c^2*d^9*e^3*f^8 - 9018*a^4*b^7*c*d^10*e*f^10 - 9018*a*b^10*c^4*d^7*e*f^10 - 9018*a*b^10*c*d^10*e^4*f^7 + 2268*b^11*c^5*d^6*e*f^10 + 2268*b^11*c*d^10*e^5*f^6 + 2268*a^5*b^6*d^11*e*f^10 + 2268*a*b^10*d^11*e^5*f^6 + 2268*a^5*b^6*c*d^10*f^11 + 2268*a*b^10*c^5*d^6*f^11 - 1458*b^11*c^3*d^8*e^3*f^8 - 1161*b^11*c^4*d^7*e^2*f^9 - 1161*b^11*c^2*d^9*e^4*f^7 - 1458*a^3*b^8*d^11*e^3*f^8 - 1161*a^4*b^7*d^11*e^2*f^9 - 1161*a^2*b^9*d^11*e^4*f^7 - 1458*a^3*b^8*c^3*d^8*f^11 - 1161*a^4*b^7*c^2*d^9*f^11 - 1161*a^2*b^9*c^4*d^7*f^11 - 756*b^11*d^11*e^6*f^5 - 756*b^11*c^6*d^5*f^11 - 756*a^6*b^5*d^11*f^11, z, k)*((39*a^5*b^11*c^14*d^2*f^16 - 102*a^6*b^10*c^13*d^3*f^16 + 132*a^7*b^9*c^12*d^4*f^16 - 84*a^8*b^8*c^11*d^5*f^16 + 21*a^9*b^7*c^10*d^6*f^16 + 21*a^10*b^6*c^9*d^7*f^16 - 84*a^11*b^5*c^8*d^8*f^16 + 132*a^12*b^4*c^7*d^9*f^16 - 102*a^13*b^3*c^6*d^10*f^16 + 39*a^14*b^2*c^5*d^11*f^16 + 39*a^5*b^11*d^16*e^14*f^2 - 102*a^6*b^10*d^16*e^13*f^3 + 132*a^7*b^9*d^16*e^12*f^4 - 84*a^8*b^8*d^16*e^11*f^5 + 21*a^9*b^7*d^16*e^10*f^6 + 21*a^10*b^6*d^16*e^9*f^7 - 84*a^11*b^5*d^16*e^8*f^8 + 132*a^12*b^4*d^16*e^7*f^9 - 102*a^13*b^3*d^16*e^6*f^10 + 39*a^14*b^2*d^16*e^5*f^11 + 39*b^16*c^5*d^11*e^14*f^2 - 102*b^16*c^6*d^10*e^13*f^3 + 132*b^16*c^7*d^9*e^12*f^4 - 84*b^16*c^8*d^8*e^11*f^5 + 21*b^16*c^9*d^7*e^10*f^6 + 21*b^16*c^10*d^6*e^9*f^7 - 84*b^16*c^11*d^5*e^8*f^8 + 132*b^16*c^12*d^4*e^7*f^9 - 102*b^16*c^13*d^3*e^6*f^10 + 39*b^16*c^14*d^2*e^5*f^11 - 6*a^4*b^12*c^15*d*f^16 - 6*a^15*b*c^4*d^12*f^16 - 6*a^4*b^12*d^16*e^15*f - 6*a^15*b*d^16*e^4*f^12 - 6*b^16*c^4*d^12*e^15*f - 6*b^16*c^15*d*e^4*f^12 + 24*a*b^15*c^3*d^13*e^15*f + 24*a*b^15*c^15*d*e^3*f^13 + 24*a^3*b^13*c*d^15*e^15*f + 24*a^3*b^13*c^15*d*e*f^15 + 24*a^15*b*c*d^15*e^3*f^13 + 24*a^15*b*c^3*d^13*e*f^15 - 117*a*b^15*c^4*d^12*e^14*f^2 + 150*a*b^15*c^5*d^11*e^13*f^3 + 159*a*b^15*c^6*d^10*e^12*f^4 - 546*a*b^15*c^7*d^9*e^11*f^5 + 414*a*b^15*c^8*d^8*e^10*f^6 - 168*a*b^15*c^9*d^7*e^9*f^7 + 414*a*b^15*c^10*d^6*e^8*f^8 - 546*a*b^15*c^11*d^5*e^7*f^9 + 159*a*b^15*c^12*d^4*e^6*f^10 + 150*a*b^15*c^13*d^3*e^5*f^11 - 117*a*b^15*c^14*d^2*e^4*f^12 - 36*a^2*b^14*c^2*d^14*e^15*f - 36*a^2*b^14*c^15*d*e^2*f^14 - 117*a^4*b^12*c*d^15*e^14*f^2 - 117*a^4*b^12*c^14*d^2*e*f^15 + 150*a^5*b^11*c*d^15*e^13*f^3 + 150*a^5*b^11*c^13*d^3*e*f^15 + 159*a^6*b^10*c*d^15*e^12*f^4 + 159*a^6*b^10*c^12*d^4*e*f^15 - 546*a^7*b^9*c*d^15*e^11*f^5 - 546*a^7*b^9*c^11*d^5*e*f^15 + 414*a^8*b^8*c*d^15*e^10*f^6 + 414*a^8*b^8*c^10*d^6*e*f^15 - 168*a^9*b^7*c*d^15*e^9*f^7 - 168*a^9*b^7*c^9*d^7*e*f^15 + 414*a^10*b^6*c*d^15*e^8*f^8 + 414*a^10*b^6*c^8*d^8*e*f^15 - 546*a^11*b^5*c*d^15*e^7*f^9 - 546*a^11*b^5*c^7*d^9*e*f^15 + 159*a^12*b^4*c*d^15*e^6*f^10 + 159*a^12*b^4*c^6*d^10*e*f^15 + 150*a^13*b^3*c*d^15*e^5*f^11 + 150*a^13*b^3*c^5*d^11*e*f^15 - 117*a^14*b^2*c*d^15*e^4*f^12 - 117*a^14*b^2*c^4*d^12*e*f^15 - 36*a^15*b*c^2*d^14*e^2*f^14 + 78*a^2*b^14*c^3*d^13*e^14*f^2 + 318*a^2*b^14*c^4*d^12*e^13*f^3 - 1269*a^2*b^14*c^5*d^11*e^12*f^4 + 1134*a^2*b^14*c^6*d^10*e^11*f^5 + 618*a^2*b^14*c^7*d^9*e^10*f^6 - 843*a^2*b^14*c^8*d^8*e^9*f^7 - 843*a^2*b^14*c^9*d^7*e^8*f^8 + 618*a^2*b^14*c^10*d^6*e^7*f^9 + 1134*a^2*b^14*c^11*d^5*e^6*f^10 - 1269*a^2*b^14*c^12*d^4*e^5*f^11 + 318*a^2*b^14*c^13*d^3*e^4*f^12 + 78*a^2*b^14*c^14*d^2*e^3*f^13 + 78*a^3*b^13*c^2*d^14*e^14*f^2 - 732*a^3*b^13*c^3*d^13*e^13*f^3 + 978*a^3*b^13*c^4*d^12*e^12*f^4 + 1722*a^3*b^13*c^5*d^11*e^11*f^5 - 4548*a^3*b^13*c^6*d^10*e^10*f^6 + 1362*a^3*b^13*c^7*d^9*e^9*f^7 + 2232*a^3*b^13*c^8*d^8*e^8*f^8 + 1362*a^3*b^13*c^9*d^7*e^7*f^9 - 4548*a^3*b^13*c^10*d^6*e^6*f^10 + 1722*a^3*b^13*c^11*d^5*e^5*f^11 + 978*a^3*b^13*c^12*d^4*e^4*f^12 - 732*a^3*b^13*c^13*d^3*e^3*f^13 + 78*a^3*b^13*c^14*d^2*e^2*f^14 + 318*a^4*b^12*c^2*d^14*e^13*f^3 + 978*a^4*b^12*c^3*d^13*e^12*f^4 - 4452*a^4*b^12*c^4*d^12*e^11*f^5 + 3495*a^4*b^12*c^5*d^11*e^10*f^6 + 4302*a^4*b^12*c^6*d^10*e^9*f^7 - 4518*a^4*b^12*c^7*d^9*e^8*f^8 - 4518*a^4*b^12*c^8*d^8*e^7*f^9 + 4302*a^4*b^12*c^9*d^7*e^6*f^10 + 3495*a^4*b^12*c^10*d^6*e^5*f^11 - 4452*a^4*b^12*c^11*d^5*e^4*f^12 + 978*a^4*b^12*c^12*d^4*e^3*f^13 + 318*a^4*b^12*c^13*d^3*e^2*f^14 - 1269*a^5*b^11*c^2*d^14*e^12*f^4 + 1722*a^5*b^11*c^3*d^13*e^11*f^5 + 3495*a^5*b^11*c^4*d^12*e^10*f^6 - 9348*a^5*b^11*c^5*d^11*e^9*f^7 + 2799*a^5*b^11*c^6*d^10*e^8*f^8 + 4824*a^5*b^11*c^7*d^9*e^7*f^9 + 2799*a^5*b^11*c^8*d^8*e^6*f^10 - 9348*a^5*b^11*c^9*d^7*e^5*f^11 + 3495*a^5*b^11*c^10*d^6*e^4*f^12 + 1722*a^5*b^11*c^11*d^5*e^3*f^13 - 1269*a^5*b^11*c^12*d^4*e^2*f^14 + 1134*a^6*b^10*c^2*d^14*e^11*f^5 - 4548*a^6*b^10*c^3*d^13*e^10*f^6 + 4302*a^6*b^10*c^4*d^12*e^9*f^7 + 2799*a^6*b^10*c^5*d^11*e^8*f^8 - 3744*a^6*b^10*c^6*d^10*e^7*f^9 - 3744*a^6*b^10*c^7*d^9*e^6*f^10 + 2799*a^6*b^10*c^8*d^8*e^5*f^11 + 4302*a^6*b^10*c^9*d^7*e^4*f^12 - 4548*a^6*b^10*c^10*d^6*e^3*f^13 + 1134*a^6*b^10*c^11*d^5*e^2*f^14 + 618*a^7*b^9*c^2*d^14*e^10*f^6 + 1362*a^7*b^9*c^3*d^13*e^9*f^7 - 4518*a^7*b^9*c^4*d^12*e^8*f^8 + 4824*a^7*b^9*c^5*d^11*e^7*f^9 - 3744*a^7*b^9*c^6*d^10*e^6*f^10 + 4824*a^7*b^9*c^7*d^9*e^5*f^11 - 4518*a^7*b^9*c^8*d^8*e^4*f^12 + 1362*a^7*b^9*c^9*d^7*e^3*f^13 + 618*a^7*b^9*c^10*d^6*e^2*f^14 - 843*a^8*b^8*c^2*d^14*e^9*f^7 + 2232*a^8*b^8*c^3*d^13*e^8*f^8 - 4518*a^8*b^8*c^4*d^12*e^7*f^9 + 2799*a^8*b^8*c^5*d^11*e^6*f^10 + 2799*a^8*b^8*c^6*d^10*e^5*f^11 - 4518*a^8*b^8*c^7*d^9*e^4*f^12 + 2232*a^8*b^8*c^8*d^8*e^3*f^13 - 843*a^8*b^8*c^9*d^7*e^2*f^14 - 843*a^9*b^7*c^2*d^14*e^8*f^8 + 1362*a^9*b^7*c^3*d^13*e^7*f^9 + 4302*a^9*b^7*c^4*d^12*e^6*f^10 - 9348*a^9*b^7*c^5*d^11*e^5*f^11 + 4302*a^9*b^7*c^6*d^10*e^4*f^12 + 1362*a^9*b^7*c^7*d^9*e^3*f^13 - 843*a^9*b^7*c^8*d^8*e^2*f^14 + 618*a^10*b^6*c^2*d^14*e^7*f^9 - 4548*a^10*b^6*c^3*d^13*e^6*f^10 + 3495*a^10*b^6*c^4*d^12*e^5*f^11 + 3495*a^10*b^6*c^5*d^11*e^4*f^12 - 4548*a^10*b^6*c^6*d^10*e^3*f^13 + 618*a^10*b^6*c^7*d^9*e^2*f^14 + 1134*a^11*b^5*c^2*d^14*e^6*f^10 + 1722*a^11*b^5*c^3*d^13*e^5*f^11 - 4452*a^11*b^5*c^4*d^12*e^4*f^12 + 1722*a^11*b^5*c^5*d^11*e^3*f^13 + 1134*a^11*b^5*c^6*d^10*e^2*f^14 - 1269*a^12*b^4*c^2*d^14*e^5*f^11 + 978*a^12*b^4*c^3*d^13*e^4*f^12 + 978*a^12*b^4*c^4*d^12*e^3*f^13 - 1269*a^12*b^4*c^5*d^11*e^2*f^14 + 318*a^13*b^3*c^2*d^14*e^4*f^12 - 732*a^13*b^3*c^3*d^13*e^3*f^13 + 318*a^13*b^3*c^4*d^12*e^2*f^14 + 78*a^14*b^2*c^2*d^14*e^3*f^13 + 78*a^14*b^2*c^3*d^13*e^2*f^14)/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14) + root(756756*a^10*b^10*c^10*d^10*e^10*f^10*z^3 + 573300*a^12*b^8*c^9*d^11*e^9*f^11*z^3 + 573300*a^11*b^9*c^11*d^9*e^8*f^12*z^3 + 573300*a^11*b^9*c^8*d^12*e^11*f^9*z^3 + 573300*a^9*b^11*c^12*d^8*e^9*f^11*z^3 + 573300*a^9*b^11*c^9*d^11*e^12*f^8*z^3 + 573300*a^8*b^12*c^11*d^9*e^11*f^9*z^3 - 343980*a^11*b^9*c^10*d^10*e^9*f^11*z^3 - 343980*a^11*b^9*c^9*d^11*e^10*f^10*z^3 - 343980*a^10*b^10*c^11*d^9*e^9*f^11*z^3 - 343980*a^10*b^10*c^9*d^11*e^11*f^9*z^3 - 343980*a^9*b^11*c^11*d^9*e^10*f^10*z^3 - 343980*a^9*b^11*c^10*d^10*e^11*f^9*z^3 + 326340*a^13*b^7*c^10*d^10*e^7*f^13*z^3 + 326340*a^13*b^7*c^7*d^13*e^10*f^10*z^3 + 326340*a^10*b^10*c^13*d^7*e^7*f^13*z^3 + 326340*a^10*b^10*c^7*d^13*e^13*f^7*z^3 + 326340*a^7*b^13*c^13*d^7*e^10*f^10*z^3 + 326340*a^7*b^13*c^10*d^10*e^13*f^7*z^3 - 267540*a^12*b^8*c^10*d^10*e^8*f^12*z^3 - 267540*a^12*b^8*c^8*d^12*e^10*f^10*z^3 - 267540*a^10*b^10*c^12*d^8*e^8*f^12*z^3 - 267540*a^10*b^10*c^8*d^12*e^12*f^8*z^3 - 267540*a^8*b^12*c^12*d^8*e^10*f^10*z^3 - 267540*a^8*b^12*c^10*d^10*e^12*f^8*z^3 + 245700*a^14*b^6*c^8*d^12*e^8*f^12*z^3 + 245700*a^12*b^8*c^12*d^8*e^6*f^14*z^3 + 245700*a^12*b^8*c^6*d^14*e^12*f^8*z^3 + 245700*a^8*b^12*c^14*d^6*e^8*f^12*z^3 + 245700*a^8*b^12*c^8*d^12*e^14*f^6*z^3 + 245700*a^6*b^14*c^12*d^8*e^12*f^8*z^3 - 191100*a^13*b^7*c^9*d^11*e^8*f^12*z^3 - 191100*a^13*b^7*c^8*d^12*e^9*f^11*z^3 - 191100*a^12*b^8*c^11*d^9*e^7*f^13*z^3 - 191100*a^12*b^8*c^7*d^13*e^11*f^9*z^3 - 191100*a^11*b^9*c^12*d^8*e^7*f^13*z^3 - 191100*a^11*b^9*c^7*d^13*e^12*f^8*z^3 - 191100*a^9*b^11*c^13*d^7*e^8*f^12*z^3 - 191100*a^9*b^11*c^8*d^12*e^13*f^7*z^3 - 191100*a^8*b^12*c^13*d^7*e^9*f^11*z^3 - 191100*a^8*b^12*c^9*d^11*e^13*f^7*z^3 - 191100*a^7*b^13*c^12*d^8*e^11*f^9*z^3 - 191100*a^7*b^13*c^11*d^9*e^12*f^8*z^3 - 123900*a^14*b^6*c^9*d^11*e^7*f^13*z^3 - 123900*a^14*b^6*c^7*d^13*e^9*f^11*z^3 - 123900*a^13*b^7*c^11*d^9*e^6*f^14*z^3 - 123900*a^13*b^7*c^6*d^14*e^11*f^9*z^3 - 123900*a^11*b^9*c^13*d^7*e^6*f^14*z^3 - 123900*a^11*b^9*c^6*d^14*e^13*f^7*z^3 - 123900*a^9*b^11*c^14*d^6*e^7*f^13*z^3 - 123900*a^9*b^11*c^7*d^13*e^14*f^6*z^3 - 123900*a^7*b^13*c^14*d^6*e^9*f^11*z^3 - 123900*a^7*b^13*c^9*d^11*e^14*f^6*z^3 - 123900*a^6*b^14*c^13*d^7*e^11*f^9*z^3 - 123900*a^6*b^14*c^11*d^9*e^13*f^7*z^3 + 101700*a^15*b^5*c^9*d^11*e^6*f^14*z^3 + 101700*a^15*b^5*c^6*d^14*e^9*f^11*z^3 + 101700*a^14*b^6*c^11*d^9*e^5*f^15*z^3 + 101700*a^14*b^6*c^5*d^15*e^11*f^9*z^3 + 101700*a^11*b^9*c^14*d^6*e^5*f^15*z^3 + 101700*a^11*b^9*c^5*d^15*e^14*f^6*z^3 + 101700*a^9*b^11*c^15*d^5*e^6*f^14*z^3 + 101700*a^9*b^11*c^6*d^14*e^15*f^5*z^3 + 101700*a^6*b^14*c^15*d^5*e^9*f^11*z^3 + 101700*a^6*b^14*c^9*d^11*e^15*f^5*z^3 + 101700*a^5*b^15*c^14*d^6*e^11*f^9*z^3 + 101700*a^5*b^15*c^11*d^9*e^14*f^6*z^3 - 65820*a^14*b^6*c^10*d^10*e^6*f^14*z^3 - 65820*a^14*b^6*c^6*d^14*e^10*f^10*z^3 - 65820*a^10*b^10*c^14*d^6*e^6*f^14*z^3 - 65820*a^10*b^10*c^6*d^14*e^14*f^6*z^3 - 65820*a^6*b^14*c^14*d^6*e^10*f^10*z^3 - 65820*a^6*b^14*c^10*d^10*e^14*f^6*z^3 + 56700*a^16*b^4*c^7*d^13*e^7*f^13*z^3 - 56700*a^15*b^5*c^8*d^12*e^7*f^13*z^3 - 56700*a^15*b^5*c^7*d^13*e^8*f^12*z^3 + 56700*a^13*b^7*c^13*d^7*e^4*f^16*z^3 - 56700*a^13*b^7*c^12*d^8*e^5*f^15*z^3 - 56700*a^13*b^7*c^5*d^15*e^12*f^8*z^3 + 56700*a^13*b^7*c^4*d^16*e^13*f^7*z^3 - 56700*a^12*b^8*c^13*d^7*e^5*f^15*z^3 - 56700*a^12*b^8*c^5*d^15*e^13*f^7*z^3 - 56700*a^8*b^12*c^15*d^5*e^7*f^13*z^3 - 56700*a^8*b^12*c^7*d^13*e^15*f^5*z^3 + 56700*a^7*b^13*c^16*d^4*e^7*f^13*z^3 - 56700*a^7*b^13*c^15*d^5*e^8*f^12*z^3 - 56700*a^7*b^13*c^8*d^12*e^15*f^5*z^3 + 56700*a^7*b^13*c^7*d^13*e^16*f^4*z^3 - 56700*a^5*b^15*c^13*d^7*e^12*f^8*z^3 - 56700*a^5*b^15*c^12*d^8*e^13*f^7*z^3 + 56700*a^4*b^16*c^13*d^7*e^13*f^7*z^3 - 48252*a^15*b^5*c^10*d^10*e^5*f^15*z^3 - 48252*a^15*b^5*c^5*d^15*e^10*f^10*z^3 - 48252*a^10*b^10*c^15*d^5*e^5*f^15*z^3 - 48252*a^10*b^10*c^5*d^15*e^15*f^5*z^3 - 48252*a^5*b^15*c^15*d^5*e^10*f^10*z^3 - 48252*a^5*b^15*c^10*d^10*e^15*f^5*z^3 - 32400*a^16*b^4*c^8*d^12*e^6*f^14*z^3 - 32400*a^16*b^4*c^6*d^14*e^8*f^12*z^3 - 32400*a^14*b^6*c^12*d^8*e^4*f^16*z^3 - 32400*a^14*b^6*c^4*d^16*e^12*f^8*z^3 - 32400*a^12*b^8*c^14*d^6*e^4*f^16*z^3 - 32400*a^12*b^8*c^4*d^16*e^14*f^6*z^3 - 32400*a^8*b^12*c^16*d^4*e^6*f^14*z^3 - 32400*a^8*b^12*c^6*d^14*e^16*f^4*z^3 - 32400*a^6*b^14*c^16*d^4*e^8*f^12*z^3 - 32400*a^6*b^14*c^8*d^12*e^16*f^4*z^3 - 32400*a^4*b^16*c^14*d^6*e^12*f^8*z^3 - 32400*a^4*b^16*c^12*d^8*e^14*f^6*z^3 + 20565*a^16*b^4*c^10*d^10*e^4*f^16*z^3 + 20565*a^16*b^4*c^4*d^16*e^10*f^10*z^3 + 20565*a^10*b^10*c^16*d^4*e^4*f^16*z^3 + 20565*a^10*b^10*c^4*d^16*e^16*f^4*z^3 + 20565*a^4*b^16*c^16*d^4*e^10*f^10*z^3 + 20565*a^4*b^16*c^10*d^10*e^16*f^4*z^3 + 15660*a^17*b^3*c^8*d^12*e^5*f^15*z^3 + 15660*a^17*b^3*c^5*d^15*e^8*f^12*z^3 + 15660*a^15*b^5*c^12*d^8*e^3*f^17*z^3 + 15660*a^15*b^5*c^3*d^17*e^12*f^8*z^3 + 15660*a^12*b^8*c^15*d^5*e^3*f^17*z^3 + 15660*a^12*b^8*c^3*d^17*e^15*f^5*z^3 + 15660*a^8*b^12*c^17*d^3*e^5*f^15*z^3 + 15660*a^8*b^12*c^5*d^15*e^17*f^3*z^3 + 15660*a^5*b^15*c^17*d^3*e^8*f^12*z^3 + 15660*a^5*b^15*c^8*d^12*e^17*f^3*z^3 + 15660*a^3*b^17*c^15*d^5*e^12*f^8*z^3 + 15660*a^3*b^17*c^12*d^8*e^15*f^5*z^3 - 9750*a^17*b^3*c^9*d^11*e^4*f^16*z^3 - 9750*a^17*b^3*c^4*d^16*e^9*f^11*z^3 - 9750*a^16*b^4*c^11*d^9*e^3*f^17*z^3 - 9750*a^16*b^4*c^3*d^17*e^11*f^9*z^3 - 9750*a^11*b^9*c^16*d^4*e^3*f^17*z^3 - 9750*a^11*b^9*c^3*d^17*e^16*f^4*z^3 - 9750*a^9*b^11*c^17*d^3*e^4*f^16*z^3 - 9750*a^9*b^11*c^4*d^16*e^17*f^3*z^3 - 9750*a^4*b^16*c^17*d^3*e^9*f^11*z^3 - 9750*a^4*b^16*c^9*d^11*e^17*f^3*z^3 - 9750*a^3*b^17*c^16*d^4*e^11*f^9*z^3 - 9750*a^3*b^17*c^11*d^9*e^16*f^4*z^3 - 8100*a^17*b^3*c^7*d^13*e^6*f^14*z^3 - 8100*a^17*b^3*c^6*d^14*e^7*f^13*z^3 - 8100*a^14*b^6*c^13*d^7*e^3*f^17*z^3 - 8100*a^14*b^6*c^3*d^17*e^13*f^7*z^3 - 8100*a^13*b^7*c^14*d^6*e^3*f^17*z^3 - 8100*a^13*b^7*c^3*d^17*e^14*f^6*z^3 - 8100*a^7*b^13*c^17*d^3*e^6*f^14*z^3 - 8100*a^7*b^13*c^6*d^14*e^17*f^3*z^3 - 8100*a^6*b^14*c^17*d^3*e^7*f^13*z^3 - 8100*a^6*b^14*c^7*d^13*e^17*f^3*z^3 - 8100*a^3*b^17*c^14*d^6*e^13*f^7*z^3 - 8100*a^3*b^17*c^13*d^7*e^14*f^6*z^3 - 7980*a^16*b^4*c^9*d^11*e^5*f^15*z^3 - 7980*a^16*b^4*c^5*d^15*e^9*f^11*z^3 - 7980*a^15*b^5*c^11*d^9*e^4*f^16*z^3 - 7980*a^15*b^5*c^4*d^16*e^11*f^9*z^3 - 7980*a^11*b^9*c^15*d^5*e^4*f^16*z^3 - 7980*a^11*b^9*c^4*d^16*e^15*f^5*z^3 - 7980*a^9*b^11*c^16*d^4*e^5*f^15*z^3 - 7980*a^9*b^11*c^5*d^15*e^16*f^4*z^3 - 7980*a^5*b^15*c^16*d^4*e^9*f^11*z^3 - 7980*a^5*b^15*c^9*d^11*e^16*f^4*z^3 - 7980*a^4*b^16*c^15*d^5*e^11*f^9*z^3 - 7980*a^4*b^16*c^11*d^9*e^15*f^5*z^3 + 6300*a^18*b^2*c^6*d^14*e^6*f^14*z^3 + 6300*a^14*b^6*c^14*d^6*e^2*f^18*z^3 + 6300*a^14*b^6*c^2*d^18*e^14*f^6*z^3 + 6300*a^6*b^14*c^18*d^2*e^6*f^14*z^3 + 6300*a^6*b^14*c^6*d^14*e^18*f^2*z^3 + 6300*a^2*b^18*c^14*d^6*e^14*f^6*z^3 - 4260*a^18*b^2*c^7*d^13*e^5*f^15*z^3 - 4260*a^18*b^2*c^5*d^15*e^7*f^13*z^3 - 4260*a^15*b^5*c^13*d^7*e^2*f^18*z^3 - 4260*a^15*b^5*c^2*d^18*e^13*f^7*z^3 - 4260*a^13*b^7*c^15*d^5*e^2*f^18*z^3 - 4260*a^13*b^7*c^2*d^18*e^15*f^5*z^3 - 4260*a^7*b^13*c^18*d^2*e^5*f^15*z^3 - 4260*a^7*b^13*c^5*d^15*e^18*f^2*z^3 - 4260*a^5*b^15*c^18*d^2*e^7*f^13*z^3 - 4260*a^5*b^15*c^7*d^13*e^18*f^2*z^3 - 4260*a^2*b^18*c^15*d^5*e^13*f^7*z^3 - 4260*a^2*b^18*c^13*d^7*e^15*f^5*z^3 + 1470*a^17*b^3*c^10*d^10*e^3*f^17*z^3 + 1470*a^17*b^3*c^3*d^17*e^10*f^10*z^3 + 1470*a^10*b^10*c^17*d^3*e^3*f^17*z^3 + 1470*a^10*b^10*c^3*d^17*e^17*f^3*z^3 + 1470*a^3*b^17*c^17*d^3*e^10*f^10*z^3 + 1470*a^3*b^17*c^10*d^10*e^17*f^3*z^3 + 1350*a^18*b^2*c^9*d^11*e^3*f^17*z^3 + 1350*a^18*b^2*c^3*d^17*e^9*f^11*z^3 + 1350*a^17*b^3*c^11*d^9*e^2*f^18*z^3 + 1350*a^17*b^3*c^2*d^18*e^11*f^9*z^3 + 1350*a^11*b^9*c^17*d^3*e^2*f^18*z^3 + 1350*a^11*b^9*c^2*d^18*e^17*f^3*z^3 + 1350*a^9*b^11*c^18*d^2*e^3*f^17*z^3 + 1350*a^9*b^11*c^3*d^17*e^18*f^2*z^3 + 1350*a^3*b^17*c^18*d^2*e^9*f^11*z^3 + 1350*a^3*b^17*c^9*d^11*e^18*f^2*z^3 + 1350*a^2*b^18*c^17*d^3*e^11*f^9*z^3 + 1350*a^2*b^18*c^11*d^9*e^17*f^3*z^3 - 1070*a^18*b^2*c^10*d^10*e^2*f^18*z^3 - 1070*a^18*b^2*c^2*d^18*e^10*f^10*z^3 - 1070*a^10*b^10*c^18*d^2*e^2*f^18*z^3 - 1070*a^10*b^10*c^2*d^18*e^18*f^2*z^3 - 1070*a^2*b^18*c^18*d^2*e^10*f^10*z^3 - 1070*a^2*b^18*c^10*d^10*e^18*f^2*z^3 + 525*a^18*b^2*c^8*d^12*e^4*f^16*z^3 + 525*a^18*b^2*c^4*d^16*e^8*f^12*z^3 + 525*a^16*b^4*c^12*d^8*e^2*f^18*z^3 + 525*a^16*b^4*c^2*d^18*e^12*f^8*z^3 + 525*a^12*b^8*c^16*d^4*e^2*f^18*z^3 + 525*a^12*b^8*c^2*d^18*e^16*f^4*z^3 + 525*a^8*b^12*c^18*d^2*e^4*f^16*z^3 + 525*a^8*b^12*c^4*d^16*e^18*f^2*z^3 + 525*a^4*b^16*c^18*d^2*e^8*f^12*z^3 + 525*a^4*b^16*c^8*d^12*e^18*f^2*z^3 + 525*a^2*b^18*c^16*d^4*e^12*f^8*z^3 + 525*a^2*b^18*c^12*d^8*e^16*f^4*z^3 + 900*a^19*b*c^7*d^13*e^4*f^16*z^3 + 900*a^19*b*c^4*d^16*e^7*f^13*z^3 + 900*a^16*b^4*c^13*d^7*e*f^19*z^3 + 900*a^16*b^4*c*d^19*e^13*f^7*z^3 + 900*a^13*b^7*c^16*d^4*e*f^19*z^3 + 900*a^13*b^7*c*d^19*e^16*f^4*z^3 + 900*a^7*b^13*c^19*d*e^4*f^16*z^3 + 900*a^7*b^13*c^4*d^16*e^19*f*z^3 + 900*a^4*b^16*c^19*d*e^7*f^13*z^3 + 900*a^4*b^16*c^7*d^13*e^19*f*z^3 + 900*a*b^19*c^16*d^4*e^13*f^7*z^3 + 900*a*b^19*c^13*d^7*e^16*f^4*z^3 - 750*a^19*b*c^8*d^12*e^3*f^17*z^3 - 750*a^19*b*c^3*d^17*e^8*f^12*z^3 - 750*a^17*b^3*c^12*d^8*e*f^19*z^3 - 750*a^17*b^3*c*d^19*e^12*f^8*z^3 - 750*a^12*b^8*c^17*d^3*e*f^19*z^3 - 750*a^12*b^8*c*d^19*e^17*f^3*z^3 - 750*a^8*b^12*c^19*d*e^3*f^17*z^3 - 750*a^8*b^12*c^3*d^17*e^19*f*z^3 - 750*a^3*b^17*c^19*d*e^8*f^12*z^3 - 750*a^3*b^17*c^8*d^12*e^19*f*z^3 - 750*a*b^19*c^17*d^3*e^12*f^8*z^3 - 750*a*b^19*c^12*d^8*e^17*f^3*z^3 - 420*a^19*b*c^6*d^14*e^5*f^15*z^3 - 420*a^19*b*c^5*d^15*e^6*f^14*z^3 - 420*a^15*b^5*c^14*d^6*e*f^19*z^3 - 420*a^15*b^5*c*d^19*e^14*f^6*z^3 - 420*a^14*b^6*c^15*d^5*e*f^19*z^3 - 420*a^14*b^6*c*d^19*e^15*f^5*z^3 - 420*a^6*b^14*c^19*d*e^5*f^15*z^3 - 420*a^6*b^14*c^5*d^15*e^19*f*z^3 - 420*a^5*b^15*c^19*d*e^6*f^14*z^3 - 420*a^5*b^15*c^6*d^14*e^19*f*z^3 - 420*a*b^19*c^15*d^5*e^14*f^6*z^3 - 420*a*b^19*c^14*d^6*e^15*f^5*z^3 + 350*a^19*b*c^9*d^11*e^2*f^18*z^3 + 350*a^19*b*c^2*d^18*e^9*f^11*z^3 + 350*a^18*b^2*c^11*d^9*e*f^19*z^3 + 350*a^18*b^2*c*d^19*e^11*f^9*z^3 + 350*a^11*b^9*c^18*d^2*e*f^19*z^3 + 350*a^11*b^9*c*d^19*e^18*f^2*z^3 + 350*a^9*b^11*c^19*d*e^2*f^18*z^3 + 350*a^9*b^11*c^2*d^18*e^19*f*z^3 + 350*a^2*b^18*c^19*d*e^9*f^11*z^3 + 350*a^2*b^18*c^9*d^11*e^19*f*z^3 + 350*a*b^19*c^18*d^2*e^11*f^9*z^3 + 350*a*b^19*c^11*d^9*e^18*f^2*z^3 - 90*a^19*b*c^10*d^10*e*f^19*z^3 - 90*a^19*b*c*d^19*e^10*f^10*z^3 - 90*a^10*b^10*c^19*d*e*f^19*z^3 - 90*a^10*b^10*c*d^19*e^19*f*z^3 - 90*a*b^19*c^19*d*e^10*f^10*z^3 - 90*a*b^19*c^10*d^10*e^19*f*z^3 + 10*b^20*c^19*d*e^11*f^9*z^3 + 10*b^20*c^11*d^9*e^19*f*z^3 + 10*a^20*c^9*d^11*e*f^19*z^3 + 10*a^20*c*d^19*e^9*f^11*z^3 + 10*a^19*b*d^20*e^11*f^9*z^3 + 10*a^11*b^9*d^20*e^19*f*z^3 + 10*a^9*b^11*c^20*e*f^19*z^3 + 10*a*b^19*c^20*e^9*f^11*z^3 + 10*a^19*b*c^11*d^9*f^20*z^3 + 10*a^11*b^9*c^19*d*f^20*z^3 + 10*a^9*b^11*c*d^19*e^20*z^3 + 10*a*b^19*c^9*d^11*e^20*z^3 + 252*b^20*c^15*d^5*e^15*f^5*z^3 - 210*b^20*c^16*d^4*e^14*f^6*z^3 - 210*b^20*c^14*d^6*e^16*f^4*z^3 + 120*b^20*c^17*d^3*e^13*f^7*z^3 + 120*b^20*c^13*d^7*e^17*f^3*z^3 - 45*b^20*c^18*d^2*e^12*f^8*z^3 - 45*b^20*c^12*d^8*e^18*f^2*z^3 + 252*a^20*c^5*d^15*e^5*f^15*z^3 - 210*a^20*c^6*d^14*e^4*f^16*z^3 - 210*a^20*c^4*d^16*e^6*f^14*z^3 + 120*a^20*c^7*d^13*e^3*f^17*z^3 + 120*a^20*c^3*d^17*e^7*f^13*z^3 - 45*a^20*c^8*d^12*e^2*f^18*z^3 - 45*a^20*c^2*d^18*e^8*f^12*z^3 + 252*a^15*b^5*d^20*e^15*f^5*z^3 - 210*a^16*b^4*d^20*e^14*f^6*z^3 - 210*a^14*b^6*d^20*e^16*f^4*z^3 + 120*a^17*b^3*d^20*e^13*f^7*z^3 + 120*a^13*b^7*d^20*e^17*f^3*z^3 - 45*a^18*b^2*d^20*e^12*f^8*z^3 - 45*a^12*b^8*d^20*e^18*f^2*z^3 + 252*a^5*b^15*c^20*e^5*f^15*z^3 - 210*a^6*b^14*c^20*e^4*f^16*z^3 - 210*a^4*b^16*c^20*e^6*f^14*z^3 + 120*a^7*b^13*c^20*e^3*f^17*z^3 + 120*a^3*b^17*c^20*e^7*f^13*z^3 - 45*a^8*b^12*c^20*e^2*f^18*z^3 - 45*a^2*b^18*c^20*e^8*f^12*z^3 + 252*a^15*b^5*c^15*d^5*f^20*z^3 - 210*a^16*b^4*c^14*d^6*f^20*z^3 - 210*a^14*b^6*c^16*d^4*f^20*z^3 + 120*a^17*b^3*c^13*d^7*f^20*z^3 + 120*a^13*b^7*c^17*d^3*f^20*z^3 - 45*a^18*b^2*c^12*d^8*f^20*z^3 - 45*a^12*b^8*c^18*d^2*f^20*z^3 + 252*a^5*b^15*c^5*d^15*e^20*z^3 - 210*a^6*b^14*c^4*d^16*e^20*z^3 - 210*a^4*b^16*c^6*d^14*e^20*z^3 + 120*a^7*b^13*c^3*d^17*e^20*z^3 + 120*a^3*b^17*c^7*d^13*e^20*z^3 - 45*a^8*b^12*c^2*d^18*e^20*z^3 - 45*a^2*b^18*c^8*d^12*e^20*z^3 - b^20*c^20*e^10*f^10*z^3 - a^20*d^20*e^10*f^10*z^3 - b^20*c^10*d^10*e^20*z^3 - a^20*c^10*d^10*f^20*z^3 - a^10*b^10*d^20*e^20*z^3 - a^10*b^10*c^20*f^20*z^3 + 1890*a^12*b^2*c*d^13*e*f^13*z + 1890*a*b^13*c^12*d^2*e*f^13*z + 1890*a*b^13*c*d^13*e^12*f^2*z + 92610*a^6*b^8*c^4*d^10*e^4*f^10*z + 92610*a^4*b^10*c^6*d^8*e^4*f^10*z + 92610*a^4*b^10*c^4*d^10*e^6*f^8*z + 66150*a^8*b^6*c^3*d^11*e^3*f^11*z - 66150*a^7*b^7*c^4*d^10*e^3*f^11*z - 66150*a^7*b^7*c^3*d^11*e^4*f^10*z - 66150*a^4*b^10*c^7*d^7*e^3*f^11*z - 66150*a^4*b^10*c^3*d^11*e^7*f^7*z + 66150*a^3*b^11*c^8*d^6*e^3*f^11*z - 66150*a^3*b^11*c^7*d^7*e^4*f^10*z - 66150*a^3*b^11*c^4*d^10*e^7*f^7*z + 66150*a^3*b^11*c^3*d^11*e^8*f^6*z - 55566*a^5*b^9*c^5*d^9*e^4*f^10*z - 55566*a^5*b^9*c^4*d^10*e^5*f^9*z - 55566*a^4*b^10*c^5*d^9*e^5*f^9*z - 32130*a^9*b^5*c^3*d^11*e^2*f^12*z - 32130*a^9*b^5*c^2*d^12*e^3*f^11*z - 32130*a^3*b^11*c^9*d^5*e^2*f^12*z - 32130*a^3*b^11*c^2*d^12*e^9*f^5*z - 32130*a^2*b^12*c^9*d^5*e^3*f^11*z - 32130*a^2*b^12*c^3*d^11*e^9*f^5*z + 22680*a^8*b^6*c^4*d^10*e^2*f^12*z + 22680*a^8*b^6*c^2*d^12*e^4*f^10*z + 22680*a^4*b^10*c^8*d^6*e^2*f^12*z + 22680*a^4*b^10*c^2*d^12*e^8*f^6*z + 22680*a^2*b^12*c^8*d^6*e^4*f^10*z + 22680*a^2*b^12*c^4*d^10*e^8*f^6*z + 19278*a^10*b^4*c^2*d^12*e^2*f^12*z + 19278*a^2*b^12*c^10*d^4*e^2*f^12*z + 19278*a^2*b^12*c^2*d^12*e^10*f^4*z + 18522*a^6*b^8*c^5*d^9*e^3*f^11*z + 18522*a^6*b^8*c^3*d^11*e^5*f^9*z + 18522*a^5*b^9*c^6*d^8*e^3*f^11*z + 18522*a^5*b^9*c^3*d^11*e^6*f^8*z + 18522*a^3*b^11*c^6*d^8*e^5*f^9*z + 18522*a^3*b^11*c^5*d^9*e^6*f^8*z - 13230*a^6*b^8*c^6*d^8*e^2*f^12*z - 13230*a^6*b^8*c^2*d^12*e^6*f^8*z - 13230*a^2*b^12*c^6*d^8*e^6*f^8*z + 3402*a^7*b^7*c^5*d^9*e^2*f^12*z + 3402*a^7*b^7*c^2*d^12*e^5*f^9*z + 3402*a^5*b^9*c^7*d^7*e^2*f^12*z + 3402*a^5*b^9*c^2*d^12*e^7*f^7*z + 3402*a^2*b^12*c^7*d^7*e^5*f^9*z + 3402*a^2*b^12*c^5*d^9*e^7*f^7*z + 7938*a^10*b^4*c^3*d^11*e*f^13*z + 7938*a^10*b^4*c*d^13*e^3*f^11*z + 7938*a^3*b^11*c^10*d^4*e*f^13*z + 7938*a^3*b^11*c*d^13*e^10*f^4*z + 7938*a*b^13*c^10*d^4*e^3*f^11*z + 7938*a*b^13*c^3*d^11*e^10*f^4*z - 5670*a^11*b^3*c^2*d^12*e*f^13*z - 5670*a^11*b^3*c*d^13*e^2*f^12*z - 5670*a^2*b^12*c^11*d^3*e*f^13*z - 5670*a^2*b^12*c*d^13*e^11*f^3*z - 5670*a*b^13*c^11*d^3*e^2*f^12*z - 5670*a*b^13*c^2*d^12*e^11*f^3*z - 3780*a^9*b^5*c^4*d^10*e*f^13*z - 3780*a^9*b^5*c*d^13*e^4*f^10*z - 3780*a^4*b^10*c^9*d^5*e*f^13*z - 3780*a^4*b^10*c*d^13*e^9*f^5*z - 3780*a*b^13*c^9*d^5*e^4*f^10*z - 3780*a*b^13*c^4*d^10*e^9*f^5*z - 2268*a^8*b^6*c^5*d^9*e*f^13*z - 2268*a^8*b^6*c*d^13*e^5*f^9*z - 2268*a^5*b^9*c^8*d^6*e*f^13*z - 2268*a^5*b^9*c*d^13*e^8*f^6*z - 2268*a*b^13*c^8*d^6*e^5*f^9*z - 2268*a*b^13*c^5*d^9*e^8*f^6*z + 1890*a^7*b^7*c^6*d^8*e*f^13*z + 1890*a^7*b^7*c*d^13*e^6*f^8*z + 1890*a^6*b^8*c^7*d^7*e*f^13*z + 1890*a^6*b^8*c*d^13*e^7*f^7*z + 1890*a*b^13*c^7*d^7*e^6*f^8*z + 1890*a*b^13*c^6*d^8*e^7*f^7*z - 252*b^14*c^13*d*e*f^13*z - 252*b^14*c*d^13*e^13*f*z - 252*a^13*b*d^14*e*f^13*z - 252*a*b^13*d^14*e^13*f*z - 252*a^13*b*c*d^13*f^14*z - 252*a*b^13*c^13*d*f^14*z - 918*b^14*c^7*d^7*e^7*f^7*z - 882*b^14*c^11*d^3*e^3*f^11*z - 882*b^14*c^3*d^11*e^11*f^3*z + 693*b^14*c^12*d^2*e^2*f^12*z + 693*b^14*c^2*d^12*e^12*f^2*z + 567*b^14*c^8*d^6*e^6*f^8*z + 567*b^14*c^6*d^8*e^8*f^6*z + 441*b^14*c^10*d^4*e^4*f^10*z + 441*b^14*c^4*d^10*e^10*f^4*z - 126*b^14*c^9*d^5*e^5*f^9*z - 126*b^14*c^5*d^9*e^9*f^5*z - 918*a^7*b^7*d^14*e^7*f^7*z - 882*a^11*b^3*d^14*e^3*f^11*z - 882*a^3*b^11*d^14*e^11*f^3*z + 693*a^12*b^2*d^14*e^2*f^12*z + 693*a^2*b^12*d^14*e^12*f^2*z + 567*a^8*b^6*d^14*e^6*f^8*z + 567*a^6*b^8*d^14*e^8*f^6*z + 441*a^10*b^4*d^14*e^4*f^10*z + 441*a^4*b^10*d^14*e^10*f^4*z - 126*a^9*b^5*d^14*e^5*f^9*z - 126*a^5*b^9*d^14*e^9*f^5*z - 918*a^7*b^7*c^7*d^7*f^14*z - 882*a^11*b^3*c^3*d^11*f^14*z - 882*a^3*b^11*c^11*d^3*f^14*z + 693*a^12*b^2*c^2*d^12*f^14*z + 693*a^2*b^12*c^12*d^2*f^14*z + 567*a^8*b^6*c^6*d^8*f^14*z + 567*a^6*b^8*c^8*d^6*f^14*z + 441*a^10*b^4*c^4*d^10*f^14*z + 441*a^4*b^10*c^10*d^4*f^14*z - 126*a^9*b^5*c^5*d^9*f^14*z - 126*a^5*b^9*c^9*d^5*f^14*z + 36*b^14*d^14*e^14*z + 36*b^14*c^14*f^14*z + 36*a^14*d^14*f^14*z - 27054*a^2*b^9*c^2*d^9*e^2*f^9 + 9018*a^3*b^8*c^2*d^9*e*f^10 + 9018*a^3*b^8*c*d^10*e^2*f^9 + 9018*a^2*b^9*c^3*d^8*e*f^10 + 9018*a^2*b^9*c*d^10*e^3*f^8 + 9018*a*b^10*c^3*d^8*e^2*f^9 + 9018*a*b^10*c^2*d^9*e^3*f^8 - 9018*a^4*b^7*c*d^10*e*f^10 - 9018*a*b^10*c^4*d^7*e*f^10 - 9018*a*b^10*c*d^10*e^4*f^7 + 2268*b^11*c^5*d^6*e*f^10 + 2268*b^11*c*d^10*e^5*f^6 + 2268*a^5*b^6*d^11*e*f^10 + 2268*a*b^10*d^11*e^5*f^6 + 2268*a^5*b^6*c*d^10*f^11 + 2268*a*b^10*c^5*d^6*f^11 - 1458*b^11*c^3*d^8*e^3*f^8 - 1161*b^11*c^4*d^7*e^2*f^9 - 1161*b^11*c^2*d^9*e^4*f^7 - 1458*a^3*b^8*d^11*e^3*f^8 - 1161*a^4*b^7*d^11*e^2*f^9 - 1161*a^2*b^9*d^11*e^4*f^7 - 1458*a^3*b^8*c^3*d^8*f^11 - 1161*a^4*b^7*c^2*d^9*f^11 - 1161*a^2*b^9*c^4*d^7*f^11 - 756*b^11*d^11*e^6*f^5 - 756*b^11*c^6*d^5*f^11 - 756*a^6*b^5*d^11*f^11, z, k)*((20*a^11*b^8*c^16*d^3*f^19 - 7*a^10*b^9*c^17*d^2*f^19 - 28*a^12*b^7*c^15*d^4*f^19 + 14*a^13*b^6*c^14*d^5*f^19 + 14*a^14*b^5*c^13*d^6*f^19 - 28*a^15*b^4*c^12*d^7*f^19 + 20*a^16*b^3*c^11*d^8*f^19 - 7*a^17*b^2*c^10*d^9*f^19 - 7*a^10*b^9*d^19*e^17*f^2 + 20*a^11*b^8*d^19*e^16*f^3 - 28*a^12*b^7*d^19*e^15*f^4 + 14*a^13*b^6*d^19*e^14*f^5 + 14*a^14*b^5*d^19*e^13*f^6 - 28*a^15*b^4*d^19*e^12*f^7 + 20*a^16*b^3*d^19*e^11*f^8 - 7*a^17*b^2*d^19*e^10*f^9 - 7*b^19*c^10*d^9*e^17*f^2 + 20*b^19*c^11*d^8*e^16*f^3 - 28*b^19*c^12*d^7*e^15*f^4 + 14*b^19*c^13*d^6*e^14*f^5 + 14*b^19*c^14*d^5*e^13*f^6 - 28*b^19*c^15*d^4*e^12*f^7 + 20*b^19*c^16*d^3*e^11*f^8 - 7*b^19*c^17*d^2*e^10*f^9 + a^9*b^10*c^18*d*f^19 + a^18*b*c^9*d^10*f^19 + a^9*b^10*d^19*e^18*f + a^18*b*d^19*e^9*f^10 + b^19*c^9*d^10*e^18*f + b^19*c^18*d*e^9*f^10 - 7*a*b^18*c^8*d^11*e^18*f - 7*a*b^18*c^18*d*e^8*f^11 - 7*a^8*b^11*c*d^18*e^18*f - 7*a^8*b^11*c^18*d*e*f^18 - 7*a^18*b*c*d^18*e^8*f^11 - 7*a^18*b*c^8*d^11*e*f^18 + 34*a*b^18*c^9*d^10*e^17*f^2 - 27*a*b^18*c^10*d^9*e^16*f^3 - 168*a*b^18*c^11*d^8*e^15*f^4 + 546*a*b^18*c^12*d^7*e^14*f^5 - 756*a*b^18*c^13*d^6*e^13*f^6 + 546*a*b^18*c^14*d^5*e^12*f^7 - 168*a*b^18*c^15*d^4*e^11*f^8 - 27*a*b^18*c^16*d^3*e^10*f^9 + 34*a*b^18*c^17*d^2*e^9*f^10 + 20*a^2*b^17*c^7*d^12*e^18*f + 20*a^2*b^17*c^18*d*e^7*f^12 - 28*a^3*b^16*c^6*d^13*e^18*f - 28*a^3*b^16*c^18*d*e^6*f^13 + 14*a^4*b^15*c^5*d^14*e^18*f + 14*a^4*b^15*c^18*d*e^5*f^14 + 14*a^5*b^14*c^4*d^15*e^18*f + 14*a^5*b^14*c^18*d*e^4*f^15 - 28*a^6*b^13*c^3*d^16*e^18*f - 28*a^6*b^13*c^18*d*e^3*f^16 + 20*a^7*b^12*c^2*d^17*e^18*f + 20*a^7*b^12*c^18*d*e^2*f^17 + 34*a^9*b^10*c*d^18*e^17*f^2 + 34*a^9*b^10*c^17*d^2*e*f^18 - 27*a^10*b^9*c*d^18*e^16*f^3 - 27*a^10*b^9*c^16*d^3*e*f^18 - 168*a^11*b^8*c*d^18*e^15*f^4 - 168*a^11*b^8*c^15*d^4*e*f^18 + 546*a^12*b^7*c*d^18*e^14*f^5 + 546*a^12*b^7*c^14*d^5*e*f^18 - 756*a^13*b^6*c*d^18*e^13*f^6 - 756*a^13*b^6*c^13*d^6*e*f^18 + 546*a^14*b^5*c*d^18*e^12*f^7 + 546*a^14*b^5*c^12*d^7*e*f^18 - 168*a^15*b^4*c*d^18*e^11*f^8 - 168*a^15*b^4*c^11*d^8*e*f^18 - 27*a^16*b^3*c*d^18*e^10*f^9 - 27*a^16*b^3*c^10*d^9*e*f^18 + 34*a^17*b^2*c*d^18*e^9*f^10 + 34*a^17*b^2*c^9*d^10*e*f^18 + 20*a^18*b*c^2*d^17*e^7*f^12 - 28*a^18*b*c^3*d^16*e^6*f^13 + 14*a^18*b*c^4*d^15*e^5*f^14 + 14*a^18*b*c^5*d^14*e^4*f^15 - 28*a^18*b*c^6*d^13*e^3*f^16 + 20*a^18*b*c^7*d^12*e^2*f^17 - 27*a^2*b^17*c^8*d^11*e^17*f^2 - 371*a^2*b^17*c^9*d^10*e^16*f^3 + 1560*a^2*b^17*c^10*d^9*e^15*f^4 - 2484*a^2*b^17*c^11*d^8*e^14*f^5 + 1302*a^2*b^17*c^12*d^7*e^13*f^6 + 1302*a^2*b^17*c^13*d^6*e^12*f^7 - 2484*a^2*b^17*c^14*d^5*e^11*f^8 + 1560*a^2*b^17*c^15*d^4*e^10*f^9 - 371*a^2*b^17*c^16*d^3*e^9*f^10 - 27*a^2*b^17*c^17*d^2*e^8*f^11 - 168*a^3*b^16*c^7*d^12*e^17*f^2 + 1560*a^3*b^16*c^8*d^11*e^16*f^3 - 3464*a^3*b^16*c^9*d^10*e^15*f^4 + 924*a^3*b^16*c^10*d^9*e^14*f^5 + 7728*a^3*b^16*c^11*d^8*e^13*f^6 - 13104*a^3*b^16*c^12*d^7*e^12*f^7 + 7728*a^3*b^16*c^13*d^6*e^11*f^8 + 924*a^3*b^16*c^14*d^5*e^10*f^9 - 3464*a^3*b^16*c^15*d^4*e^9*f^10 + 1560*a^3*b^16*c^16*d^3*e^8*f^11 - 168*a^3*b^16*c^17*d^2*e^7*f^12 + 546*a^4*b^15*c^6*d^13*e^17*f^2 - 2484*a^4*b^15*c^7*d^12*e^16*f^3 + 924*a^4*b^15*c^8*d^11*e^15*f^4 + 12550*a^4*b^15*c^9*d^10*e^14*f^5 - 26838*a^4*b^15*c^10*d^9*e^13*f^6 + 15288*a^4*b^15*c^11*d^8*e^12*f^7 + 15288*a^4*b^15*c^12*d^7*e^11*f^8 - 26838*a^4*b^15*c^13*d^6*e^10*f^9 + 12550*a^4*b^15*c^14*d^5*e^9*f^10 + 924*a^4*b^15*c^15*d^4*e^8*f^11 - 2484*a^4*b^15*c^16*d^3*e^7*f^12 + 546*a^4*b^15*c^17*d^2*e^6*f^13 - 756*a^5*b^14*c^5*d^14*e^17*f^2 + 1302*a^5*b^14*c^6*d^13*e^16*f^3 + 7728*a^5*b^14*c^7*d^12*e^15*f^4 - 26838*a^5*b^14*c^8*d^11*e^14*f^5 + 18004*a^5*b^14*c^9*d^10*e^13*f^6 + 39858*a^5*b^14*c^10*d^9*e^12*f^7 - 78624*a^5*b^14*c^11*d^8*e^11*f^8 + 39858*a^5*b^14*c^12*d^7*e^10*f^9 + 18004*a^5*b^14*c^13*d^6*e^9*f^10 - 26838*a^5*b^14*c^14*d^5*e^8*f^11 + 7728*a^5*b^14*c^15*d^4*e^7*f^12 + 1302*a^5*b^14*c^16*d^3*e^6*f^13 - 756*a^5*b^14*c^17*d^2*e^5*f^14 + 546*a^6*b^13*c^4*d^15*e^17*f^2 + 1302*a^6*b^13*c^5*d^14*e^16*f^3 - 13104*a^6*b^13*c^6*d^13*e^15*f^4 + 15288*a^6*b^13*c^7*d^12*e^14*f^5 + 39858*a^6*b^13*c^8*d^11*e^13*f^6 - 110474*a^6*b^13*c^9*d^10*e^12*f^7 + 66612*a^6*b^13*c^10*d^9*e^11*f^8 + 66612*a^6*b^13*c^11*d^8*e^10*f^9 - 110474*a^6*b^13*c^12*d^7*e^9*f^10 + 39858*a^6*b^13*c^13*d^6*e^8*f^11 + 15288*a^6*b^13*c^14*d^5*e^7*f^12 - 13104*a^6*b^13*c^15*d^4*e^6*f^13 + 1302*a^6*b^13*c^16*d^3*e^5*f^14 + 546*a^6*b^13*c^17*d^2*e^4*f^15 - 168*a^7*b^12*c^3*d^16*e^17*f^2 - 2484*a^7*b^12*c^4*d^15*e^16*f^3 + 7728*a^7*b^12*c^5*d^14*e^15*f^4 + 15288*a^7*b^12*c^6*d^13*e^14*f^5 - 78624*a^7*b^12*c^7*d^12*e^13*f^6 + 66612*a^7*b^12*c^8*d^11*e^12*f^7 + 99736*a^7*b^12*c^9*d^10*e^11*f^8 - 216216*a^7*b^12*c^10*d^9*e^10*f^9 + 99736*a^7*b^12*c^11*d^8*e^9*f^10 + 66612*a^7*b^12*c^12*d^7*e^8*f^11 - 78624*a^7*b^12*c^13*d^6*e^7*f^12 + 15288*a^7*b^12*c^14*d^5*e^6*f^13 + 7728*a^7*b^12*c^15*d^4*e^5*f^14 - 2484*a^7*b^12*c^16*d^3*e^4*f^15 - 168*a^7*b^12*c^17*d^2*e^3*f^16 - 27*a^8*b^11*c^2*d^17*e^17*f^2 + 1560*a^8*b^11*c^3*d^16*e^16*f^3 + 924*a^8*b^11*c^4*d^15*e^15*f^4 - 26838*a^8*b^11*c^5*d^14*e^14*f^5 + 39858*a^8*b^11*c^6*d^13*e^13*f^6 + 66612*a^8*b^11*c^7*d^12*e^12*f^7 - 216216*a^8*b^11*c^8*d^11*e^11*f^8 + 134134*a^8*b^11*c^9*d^10*e^10*f^9 + 134134*a^8*b^11*c^10*d^9*e^9*f^10 - 216216*a^8*b^11*c^11*d^8*e^8*f^11 + 66612*a^8*b^11*c^12*d^7*e^7*f^12 + 39858*a^8*b^11*c^13*d^6*e^6*f^13 - 26838*a^8*b^11*c^14*d^5*e^5*f^14 + 924*a^8*b^11*c^15*d^4*e^4*f^15 + 1560*a^8*b^11*c^16*d^3*e^3*f^16 - 27*a^8*b^11*c^17*d^2*e^2*f^17 - 371*a^9*b^10*c^2*d^17*e^16*f^3 - 3464*a^9*b^10*c^3*d^16*e^15*f^4 + 12550*a^9*b^10*c^4*d^15*e^14*f^5 + 18004*a^9*b^10*c^5*d^14*e^13*f^6 - 110474*a^9*b^10*c^6*d^13*e^12*f^7 + 99736*a^9*b^10*c^7*d^12*e^11*f^8 + 134134*a^9*b^10*c^8*d^11*e^10*f^9 - 300300*a^9*b^10*c^9*d^10*e^9*f^10 + 134134*a^9*b^10*c^10*d^9*e^8*f^11 + 99736*a^9*b^10*c^11*d^8*e^7*f^12 - 110474*a^9*b^10*c^12*d^7*e^6*f^13 + 18004*a^9*b^10*c^13*d^6*e^5*f^14 + 12550*a^9*b^10*c^14*d^5*e^4*f^15 - 3464*a^9*b^10*c^15*d^4*e^3*f^16 - 371*a^9*b^10*c^16*d^3*e^2*f^17 + 1560*a^10*b^9*c^2*d^17*e^15*f^4 + 924*a^10*b^9*c^3*d^16*e^14*f^5 - 26838*a^10*b^9*c^4*d^15*e^13*f^6 + 39858*a^10*b^9*c^5*d^14*e^12*f^7 + 66612*a^10*b^9*c^6*d^13*e^11*f^8 - 216216*a^10*b^9*c^7*d^12*e^10*f^9 + 134134*a^10*b^9*c^8*d^11*e^9*f^10 + 134134*a^10*b^9*c^9*d^10*e^8*f^11 - 216216*a^10*b^9*c^10*d^9*e^7*f^12 + 66612*a^10*b^9*c^11*d^8*e^6*f^13 + 39858*a^10*b^9*c^12*d^7*e^5*f^14 - 26838*a^10*b^9*c^13*d^6*e^4*f^15 + 924*a^10*b^9*c^14*d^5*e^3*f^16 + 1560*a^10*b^9*c^15*d^4*e^2*f^17 - 2484*a^11*b^8*c^2*d^17*e^14*f^5 + 7728*a^11*b^8*c^3*d^16*e^13*f^6 + 15288*a^11*b^8*c^4*d^15*e^12*f^7 - 78624*a^11*b^8*c^5*d^14*e^11*f^8 + 66612*a^11*b^8*c^6*d^13*e^10*f^9 + 99736*a^11*b^8*c^7*d^12*e^9*f^10 - 216216*a^11*b^8*c^8*d^11*e^8*f^11 + 99736*a^11*b^8*c^9*d^10*e^7*f^12 + 66612*a^11*b^8*c^10*d^9*e^6*f^13 - 78624*a^11*b^8*c^11*d^8*e^5*f^14 + 15288*a^11*b^8*c^12*d^7*e^4*f^15 + 7728*a^11*b^8*c^13*d^6*e^3*f^16 - 2484*a^11*b^8*c^14*d^5*e^2*f^17 + 1302*a^12*b^7*c^2*d^17*e^13*f^6 - 13104*a^12*b^7*c^3*d^16*e^12*f^7 + 15288*a^12*b^7*c^4*d^15*e^11*f^8 + 39858*a^12*b^7*c^5*d^14*e^10*f^9 - 110474*a^12*b^7*c^6*d^13*e^9*f^10 + 66612*a^12*b^7*c^7*d^12*e^8*f^11 + 66612*a^12*b^7*c^8*d^11*e^7*f^12 - 110474*a^12*b^7*c^9*d^10*e^6*f^13 + 39858*a^12*b^7*c^10*d^9*e^5*f^14 + 15288*a^12*b^7*c^11*d^8*e^4*f^15 - 13104*a^12*b^7*c^12*d^7*e^3*f^16 + 1302*a^12*b^7*c^13*d^6*e^2*f^17 + 1302*a^13*b^6*c^2*d^17*e^12*f^7 + 7728*a^13*b^6*c^3*d^16*e^11*f^8 - 26838*a^13*b^6*c^4*d^15*e^10*f^9 + 18004*a^13*b^6*c^5*d^14*e^9*f^10 + 39858*a^13*b^6*c^6*d^13*e^8*f^11 - 78624*a^13*b^6*c^7*d^12*e^7*f^12 + 39858*a^13*b^6*c^8*d^11*e^6*f^13 + 18004*a^13*b^6*c^9*d^10*e^5*f^14 - 26838*a^13*b^6*c^10*d^9*e^4*f^15 + 7728*a^13*b^6*c^11*d^8*e^3*f^16 + 1302*a^13*b^6*c^12*d^7*e^2*f^17 - 2484*a^14*b^5*c^2*d^17*e^11*f^8 + 924*a^14*b^5*c^3*d^16*e^10*f^9 + 12550*a^14*b^5*c^4*d^15*e^9*f^10 - 26838*a^14*b^5*c^5*d^14*e^8*f^11 + 15288*a^14*b^5*c^6*d^13*e^7*f^12 + 15288*a^14*b^5*c^7*d^12*e^6*f^13 - 26838*a^14*b^5*c^8*d^11*e^5*f^14 + 12550*a^14*b^5*c^9*d^10*e^4*f^15 + 924*a^14*b^5*c^10*d^9*e^3*f^16 - 2484*a^14*b^5*c^11*d^8*e^2*f^17 + 1560*a^15*b^4*c^2*d^17*e^10*f^9 - 3464*a^15*b^4*c^3*d^16*e^9*f^10 + 924*a^15*b^4*c^4*d^15*e^8*f^11 + 7728*a^15*b^4*c^5*d^14*e^7*f^12 - 13104*a^15*b^4*c^6*d^13*e^6*f^13 + 7728*a^15*b^4*c^7*d^12*e^5*f^14 + 924*a^15*b^4*c^8*d^11*e^4*f^15 - 3464*a^15*b^4*c^9*d^10*e^3*f^16 + 1560*a^15*b^4*c^10*d^9*e^2*f^17 - 371*a^16*b^3*c^2*d^17*e^9*f^10 + 1560*a^16*b^3*c^3*d^16*e^8*f^11 - 2484*a^16*b^3*c^4*d^15*e^7*f^12 + 1302*a^16*b^3*c^5*d^14*e^6*f^13 + 1302*a^16*b^3*c^6*d^13*e^5*f^14 - 2484*a^16*b^3*c^7*d^12*e^4*f^15 + 1560*a^16*b^3*c^8*d^11*e^3*f^16 - 371*a^16*b^3*c^9*d^10*e^2*f^17 - 27*a^17*b^2*c^2*d^17*e^8*f^11 - 168*a^17*b^2*c^3*d^16*e^7*f^12 + 546*a^17*b^2*c^4*d^15*e^6*f^13 - 756*a^17*b^2*c^5*d^14*e^5*f^14 + 546*a^17*b^2*c^6*d^13*e^4*f^15 - 168*a^17*b^2*c^7*d^12*e^3*f^16 - 27*a^17*b^2*c^8*d^11*e^2*f^17)/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14) - (x*(18*a^9*b^10*c^17*d^2*f^19 - 74*a^10*b^9*c^16*d^3*f^19 + 184*a^11*b^8*c^15*d^4*f^19 - 308*a^12*b^7*c^14*d^5*f^19 + 364*a^13*b^6*c^13*d^6*f^19 - 308*a^14*b^5*c^12*d^7*f^19 + 184*a^15*b^4*c^11*d^8*f^19 - 74*a^16*b^3*c^10*d^9*f^19 + 18*a^17*b^2*c^9*d^10*f^19 + 18*a^9*b^10*d^19*e^17*f^2 - 74*a^10*b^9*d^19*e^16*f^3 + 184*a^11*b^8*d^19*e^15*f^4 - 308*a^12*b^7*d^19*e^14*f^5 + 364*a^13*b^6*d^19*e^13*f^6 - 308*a^14*b^5*d^19*e^12*f^7 + 184*a^15*b^4*d^19*e^11*f^8 - 74*a^16*b^3*d^19*e^10*f^9 + 18*a^17*b^2*d^19*e^9*f^10 + 18*b^19*c^9*d^10*e^17*f^2 - 74*b^19*c^10*d^9*e^16*f^3 + 184*b^19*c^11*d^8*e^15*f^4 - 308*b^19*c^12*d^7*e^14*f^5 + 364*b^19*c^13*d^6*e^13*f^6 - 308*b^19*c^14*d^5*e^12*f^7 + 184*b^19*c^15*d^4*e^11*f^8 - 74*b^19*c^16*d^3*e^10*f^9 + 18*b^19*c^17*d^2*e^9*f^10 - 2*a^8*b^11*c^18*d*f^19 - 2*a^18*b*c^8*d^11*f^19 - 2*a^8*b^11*d^19*e^18*f - 2*a^18*b*d^19*e^8*f^11 - 2*b^19*c^8*d^11*e^18*f - 2*b^19*c^18*d*e^8*f^11 + 16*a*b^18*c^7*d^12*e^18*f + 16*a*b^18*c^18*d*e^7*f^12 + 16*a^7*b^12*c*d^18*e^18*f + 16*a^7*b^12*c^18*d*e*f^18 + 16*a^18*b*c*d^18*e^7*f^12 + 16*a^18*b*c^7*d^12*e*f^18 - 126*a*b^18*c^8*d^11*e^17*f^2 + 434*a*b^18*c^9*d^10*e^16*f^3 - 840*a*b^18*c^10*d^9*e^15*f^4 + 936*a*b^18*c^11*d^8*e^14*f^5 - 420*a*b^18*c^12*d^7*e^13*f^6 - 420*a*b^18*c^13*d^6*e^12*f^7 + 936*a*b^18*c^14*d^5*e^11*f^8 - 840*a*b^18*c^15*d^4*e^10*f^9 + 434*a*b^18*c^16*d^3*e^9*f^10 - 126*a*b^18*c^17*d^2*e^8*f^11 - 56*a^2*b^17*c^6*d^13*e^18*f - 56*a^2*b^17*c^18*d*e^6*f^13 + 112*a^3*b^16*c^5*d^14*e^18*f + 112*a^3*b^16*c^18*d*e^5*f^14 - 140*a^4*b^15*c^4*d^15*e^18*f - 140*a^4*b^15*c^18*d*e^4*f^15 + 112*a^5*b^14*c^3*d^16*e^18*f + 112*a^5*b^14*c^18*d*e^3*f^16 - 56*a^6*b^13*c^2*d^17*e^18*f - 56*a^6*b^13*c^18*d*e^2*f^17 - 126*a^8*b^11*c*d^18*e^17*f^2 - 126*a^8*b^11*c^17*d^2*e*f^18 + 434*a^9*b^10*c*d^18*e^16*f^3 + 434*a^9*b^10*c^16*d^3*e*f^18 - 840*a^10*b^9*c*d^18*e^15*f^4 - 840*a^10*b^9*c^15*d^4*e*f^18 + 936*a^11*b^8*c*d^18*e^14*f^5 + 936*a^11*b^8*c^14*d^5*e*f^18 - 420*a^12*b^7*c*d^18*e^13*f^6 - 420*a^12*b^7*c^13*d^6*e*f^18 - 420*a^13*b^6*c*d^18*e^12*f^7 - 420*a^13*b^6*c^12*d^7*e*f^18 + 936*a^14*b^5*c*d^18*e^11*f^8 + 936*a^14*b^5*c^11*d^8*e*f^18 - 840*a^15*b^4*c*d^18*e^10*f^9 - 840*a^15*b^4*c^10*d^9*e*f^18 + 434*a^16*b^3*c*d^18*e^9*f^10 + 434*a^16*b^3*c^9*d^10*e*f^18 - 126*a^17*b^2*c*d^18*e^8*f^11 - 126*a^17*b^2*c^8*d^11*e*f^18 - 56*a^18*b*c^2*d^17*e^6*f^13 + 112*a^18*b*c^3*d^16*e^5*f^14 - 140*a^18*b*c^4*d^15*e^4*f^15 + 112*a^18*b*c^5*d^14*e^3*f^16 - 56*a^18*b*c^6*d^13*e^2*f^17 + 360*a^2*b^17*c^7*d^12*e^17*f^2 - 882*a^2*b^17*c^8*d^11*e^16*f^3 + 728*a^2*b^17*c^9*d^10*e^15*f^4 + 1152*a^2*b^17*c^10*d^9*e^14*f^5 - 4032*a^2*b^17*c^11*d^8*e^13*f^6 + 5460*a^2*b^17*c^12*d^7*e^12*f^7 - 4032*a^2*b^17*c^13*d^6*e^11*f^8 + 1152*a^2*b^17*c^14*d^5*e^10*f^9 + 728*a^2*b^17*c^15*d^4*e^9*f^10 - 882*a^2*b^17*c^16*d^3*e^8*f^11 + 360*a^2*b^17*c^17*d^2*e^7*f^12 - 504*a^3*b^16*c^6*d^13*e^17*f^2 + 312*a^3*b^16*c^7*d^12*e^16*f^3 + 2520*a^3*b^16*c^8*d^11*e^15*f^4 - 7480*a^3*b^16*c^9*d^10*e^14*f^5 + 9408*a^3*b^16*c^10*d^9*e^13*f^6 - 4368*a^3*b^16*c^11*d^8*e^12*f^7 - 4368*a^3*b^16*c^12*d^7*e^11*f^8 + 9408*a^3*b^16*c^13*d^6*e^10*f^9 - 7480*a^3*b^16*c^14*d^5*e^9*f^10 + 2520*a^3*b^16*c^15*d^4*e^8*f^11 + 312*a^3*b^16*c^16*d^3*e^7*f^12 - 504*a^3*b^16*c^17*d^2*e^6*f^13 + 252*a^4*b^15*c^5*d^14*e^17*f^2 + 1596*a^4*b^15*c^6*d^13*e^16*f^3 - 6288*a^4*b^15*c^7*d^12*e^15*f^4 + 7380*a^4*b^15*c^8*d^11*e^14*f^5 + 2660*a^4*b^15*c^9*d^10*e^13*f^6 - 18564*a^4*b^15*c^10*d^9*e^12*f^7 + 26208*a^4*b^15*c^11*d^8*e^11*f^8 - 18564*a^4*b^15*c^12*d^7*e^10*f^9 + 2660*a^4*b^15*c^13*d^6*e^9*f^10 + 7380*a^4*b^15*c^14*d^5*e^8*f^11 - 6288*a^4*b^15*c^15*d^4*e^7*f^12 + 1596*a^4*b^15*c^16*d^3*e^6*f^13 + 252*a^4*b^15*c^17*d^2*e^5*f^14 + 252*a^5*b^14*c^4*d^15*e^17*f^2 - 2772*a^5*b^14*c^5*d^14*e^16*f^3 + 3696*a^5*b^14*c^6*d^13*e^15*f^4 + 7056*a^5*b^14*c^7*d^12*e^14*f^5 - 25452*a^5*b^14*c^8*d^11*e^13*f^6 + 30212*a^5*b^14*c^9*d^10*e^12*f^7 - 13104*a^5*b^14*c^10*d^9*e^11*f^8 - 13104*a^5*b^14*c^11*d^8*e^10*f^9 + 30212*a^5*b^14*c^12*d^7*e^9*f^10 - 25452*a^5*b^14*c^13*d^6*e^8*f^11 + 7056*a^5*b^14*c^14*d^5*e^7*f^12 + 3696*a^5*b^14*c^15*d^4*e^6*f^13 - 2772*a^5*b^14*c^16*d^3*e^5*f^14 + 252*a^5*b^14*c^17*d^2*e^4*f^15 - 504*a^6*b^13*c^3*d^16*e^17*f^2 + 1596*a^6*b^13*c^4*d^15*e^16*f^3 + 3696*a^6*b^13*c^5*d^14*e^15*f^4 - 17472*a^6*b^13*c^6*d^13*e^14*f^5 + 17472*a^6*b^13*c^7*d^12*e^13*f^6 + 9828*a^6*b^13*c^8*d^11*e^12*f^7 - 38584*a^6*b^13*c^9*d^10*e^11*f^8 + 48048*a^6*b^13*c^10*d^9*e^10*f^9 - 38584*a^6*b^13*c^11*d^8*e^9*f^10 + 9828*a^6*b^13*c^12*d^7*e^8*f^11 + 17472*a^6*b^13*c^13*d^6*e^7*f^12 - 17472*a^6*b^13*c^14*d^5*e^6*f^13 + 3696*a^6*b^13*c^15*d^4*e^5*f^14 + 1596*a^6*b^13*c^16*d^3*e^4*f^15 - 504*a^6*b^13*c^17*d^2*e^3*f^16 + 360*a^7*b^12*c^2*d^17*e^17*f^2 + 312*a^7*b^12*c^3*d^16*e^16*f^3 - 6288*a^7*b^12*c^4*d^15*e^15*f^4 + 7056*a^7*b^12*c^5*d^14*e^14*f^5 + 17472*a^7*b^12*c^6*d^13*e^13*f^6 - 43680*a^7*b^12*c^7*d^12*e^12*f^7 + 32760*a^7*b^12*c^8*d^11*e^11*f^8 - 8008*a^7*b^12*c^9*d^10*e^10*f^9 - 8008*a^7*b^12*c^10*d^9*e^9*f^10 + 32760*a^7*b^12*c^11*d^8*e^8*f^11 - 43680*a^7*b^12*c^12*d^7*e^7*f^12 + 17472*a^7*b^12*c^13*d^6*e^6*f^13 + 7056*a^7*b^12*c^14*d^5*e^5*f^14 - 6288*a^7*b^12*c^15*d^4*e^4*f^15 + 312*a^7*b^12*c^16*d^3*e^3*f^16 + 360*a^7*b^12*c^17*d^2*e^2*f^17 - 882*a^8*b^11*c^2*d^17*e^16*f^3 + 2520*a^8*b^11*c^3*d^16*e^15*f^4 + 7380*a^8*b^11*c^4*d^15*e^14*f^5 - 25452*a^8*b^11*c^5*d^14*e^13*f^6 + 9828*a^8*b^11*c^6*d^13*e^12*f^7 + 32760*a^8*b^11*c^7*d^12*e^11*f^8 - 36036*a^8*b^11*c^8*d^11*e^10*f^9 + 20020*a^8*b^11*c^9*d^10*e^9*f^10 - 36036*a^8*b^11*c^10*d^9*e^8*f^11 + 32760*a^8*b^11*c^11*d^8*e^7*f^12 + 9828*a^8*b^11*c^12*d^7*e^6*f^13 - 25452*a^8*b^11*c^13*d^6*e^5*f^14 + 7380*a^8*b^11*c^14*d^5*e^4*f^15 + 2520*a^8*b^11*c^15*d^4*e^3*f^16 - 882*a^8*b^11*c^16*d^3*e^2*f^17 + 728*a^9*b^10*c^2*d^17*e^15*f^4 - 7480*a^9*b^10*c^3*d^16*e^14*f^5 + 2660*a^9*b^10*c^4*d^15*e^13*f^6 + 30212*a^9*b^10*c^5*d^14*e^12*f^7 - 38584*a^9*b^10*c^6*d^13*e^11*f^8 - 8008*a^9*b^10*c^7*d^12*e^10*f^9 + 20020*a^9*b^10*c^8*d^11*e^9*f^10 + 20020*a^9*b^10*c^9*d^10*e^8*f^11 - 8008*a^9*b^10*c^10*d^9*e^7*f^12 - 38584*a^9*b^10*c^11*d^8*e^6*f^13 + 30212*a^9*b^10*c^12*d^7*e^5*f^14 + 2660*a^9*b^10*c^13*d^6*e^4*f^15 - 7480*a^9*b^10*c^14*d^5*e^3*f^16 + 728*a^9*b^10*c^15*d^4*e^2*f^17 + 1152*a^10*b^9*c^2*d^17*e^14*f^5 + 9408*a^10*b^9*c^3*d^16*e^13*f^6 - 18564*a^10*b^9*c^4*d^15*e^12*f^7 - 13104*a^10*b^9*c^5*d^14*e^11*f^8 + 48048*a^10*b^9*c^6*d^13*e^10*f^9 - 8008*a^10*b^9*c^7*d^12*e^9*f^10 - 36036*a^10*b^9*c^8*d^11*e^8*f^11 - 8008*a^10*b^9*c^9*d^10*e^7*f^12 + 48048*a^10*b^9*c^10*d^9*e^6*f^13 - 13104*a^10*b^9*c^11*d^8*e^5*f^14 - 18564*a^10*b^9*c^12*d^7*e^4*f^15 + 9408*a^10*b^9*c^13*d^6*e^3*f^16 + 1152*a^10*b^9*c^14*d^5*e^2*f^17 - 4032*a^11*b^8*c^2*d^17*e^13*f^6 - 4368*a^11*b^8*c^3*d^16*e^12*f^7 + 26208*a^11*b^8*c^4*d^15*e^11*f^8 - 13104*a^11*b^8*c^5*d^14*e^10*f^9 - 38584*a^11*b^8*c^6*d^13*e^9*f^10 + 32760*a^11*b^8*c^7*d^12*e^8*f^11 + 32760*a^11*b^8*c^8*d^11*e^7*f^12 - 38584*a^11*b^8*c^9*d^10*e^6*f^13 - 13104*a^11*b^8*c^10*d^9*e^5*f^14 + 26208*a^11*b^8*c^11*d^8*e^4*f^15 - 4368*a^11*b^8*c^12*d^7*e^3*f^16 - 4032*a^11*b^8*c^13*d^6*e^2*f^17 + 5460*a^12*b^7*c^2*d^17*e^12*f^7 - 4368*a^12*b^7*c^3*d^16*e^11*f^8 - 18564*a^12*b^7*c^4*d^15*e^10*f^9 + 30212*a^12*b^7*c^5*d^14*e^9*f^10 + 9828*a^12*b^7*c^6*d^13*e^8*f^11 - 43680*a^12*b^7*c^7*d^12*e^7*f^12 + 9828*a^12*b^7*c^8*d^11*e^6*f^13 + 30212*a^12*b^7*c^9*d^10*e^5*f^14 - 18564*a^12*b^7*c^10*d^9*e^4*f^15 - 4368*a^12*b^7*c^11*d^8*e^3*f^16 + 5460*a^12*b^7*c^12*d^7*e^2*f^17 - 4032*a^13*b^6*c^2*d^17*e^11*f^8 + 9408*a^13*b^6*c^3*d^16*e^10*f^9 + 2660*a^13*b^6*c^4*d^15*e^9*f^10 - 25452*a^13*b^6*c^5*d^14*e^8*f^11 + 17472*a^13*b^6*c^6*d^13*e^7*f^12 + 17472*a^13*b^6*c^7*d^12*e^6*f^13 - 25452*a^13*b^6*c^8*d^11*e^5*f^14 + 2660*a^13*b^6*c^9*d^10*e^4*f^15 + 9408*a^13*b^6*c^10*d^9*e^3*f^16 - 4032*a^13*b^6*c^11*d^8*e^2*f^17 + 1152*a^14*b^5*c^2*d^17*e^10*f^9 - 7480*a^14*b^5*c^3*d^16*e^9*f^10 + 7380*a^14*b^5*c^4*d^15*e^8*f^11 + 7056*a^14*b^5*c^5*d^14*e^7*f^12 - 17472*a^14*b^5*c^6*d^13*e^6*f^13 + 7056*a^14*b^5*c^7*d^12*e^5*f^14 + 7380*a^14*b^5*c^8*d^11*e^4*f^15 - 7480*a^14*b^5*c^9*d^10*e^3*f^16 + 1152*a^14*b^5*c^10*d^9*e^2*f^17 + 728*a^15*b^4*c^2*d^17*e^9*f^10 + 2520*a^15*b^4*c^3*d^16*e^8*f^11 - 6288*a^15*b^4*c^4*d^15*e^7*f^12 + 3696*a^15*b^4*c^5*d^14*e^6*f^13 + 3696*a^15*b^4*c^6*d^13*e^5*f^14 - 6288*a^15*b^4*c^7*d^12*e^4*f^15 + 2520*a^15*b^4*c^8*d^11*e^3*f^16 + 728*a^15*b^4*c^9*d^10*e^2*f^17 - 882*a^16*b^3*c^2*d^17*e^8*f^11 + 312*a^16*b^3*c^3*d^16*e^7*f^12 + 1596*a^16*b^3*c^4*d^15*e^6*f^13 - 2772*a^16*b^3*c^5*d^14*e^5*f^14 + 1596*a^16*b^3*c^6*d^13*e^4*f^15 + 312*a^16*b^3*c^7*d^12*e^3*f^16 - 882*a^16*b^3*c^8*d^11*e^2*f^17 + 360*a^17*b^2*c^2*d^17*e^7*f^12 - 504*a^17*b^2*c^3*d^16*e^6*f^13 + 252*a^17*b^2*c^4*d^15*e^5*f^14 + 252*a^17*b^2*c^5*d^14*e^4*f^15 - 504*a^17*b^2*c^6*d^13*e^3*f^16 + 360*a^17*b^2*c^7*d^12*e^2*f^17))/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14)) + (x*(84*a^5*b^11*c^13*d^3*f^16 - 12*a^4*b^12*c^14*d^2*f^16 - 243*a^6*b^10*c^12*d^4*f^16 + 366*a^7*b^9*c^11*d^5*f^16 - 321*a^8*b^8*c^10*d^6*f^16 + 252*a^9*b^7*c^9*d^7*f^16 - 321*a^10*b^6*c^8*d^8*f^16 + 366*a^11*b^5*c^7*d^9*f^16 - 243*a^12*b^4*c^6*d^10*f^16 + 84*a^13*b^3*c^5*d^11*f^16 - 12*a^14*b^2*c^4*d^12*f^16 - 12*a^4*b^12*d^16*e^14*f^2 + 84*a^5*b^11*d^16*e^13*f^3 - 243*a^6*b^10*d^16*e^12*f^4 + 366*a^7*b^9*d^16*e^11*f^5 - 321*a^8*b^8*d^16*e^10*f^6 + 252*a^9*b^7*d^16*e^9*f^7 - 321*a^10*b^6*d^16*e^8*f^8 + 366*a^11*b^5*d^16*e^7*f^9 - 243*a^12*b^4*d^16*e^6*f^10 + 84*a^13*b^3*d^16*e^5*f^11 - 12*a^14*b^2*d^16*e^4*f^12 - 12*b^16*c^4*d^12*e^14*f^2 + 84*b^16*c^5*d^11*e^13*f^3 - 243*b^16*c^6*d^10*e^12*f^4 + 366*b^16*c^7*d^9*e^11*f^5 - 321*b^16*c^8*d^8*e^10*f^6 + 252*b^16*c^9*d^7*e^9*f^7 - 321*b^16*c^10*d^6*e^8*f^8 + 366*b^16*c^11*d^5*e^7*f^9 - 243*b^16*c^12*d^4*e^6*f^10 + 84*b^16*c^13*d^3*e^5*f^11 - 12*b^16*c^14*d^2*e^4*f^12 + 48*a*b^15*c^3*d^13*e^14*f^2 - 252*a*b^15*c^4*d^12*e^13*f^3 + 366*a*b^15*c^5*d^11*e^12*f^4 + 354*a*b^15*c^6*d^10*e^11*f^5 - 1458*a*b^15*c^7*d^9*e^10*f^6 + 942*a*b^15*c^8*d^8*e^9*f^7 + 942*a*b^15*c^9*d^7*e^8*f^8 - 1458*a*b^15*c^10*d^6*e^7*f^9 + 354*a*b^15*c^11*d^5*e^6*f^10 + 366*a*b^15*c^12*d^4*e^5*f^11 - 252*a*b^15*c^13*d^3*e^4*f^12 + 48*a*b^15*c^14*d^2*e^3*f^13 + 48*a^3*b^13*c*d^15*e^14*f^2 + 48*a^3*b^13*c^14*d^2*e*f^15 - 252*a^4*b^12*c*d^15*e^13*f^3 - 252*a^4*b^12*c^13*d^3*e*f^15 + 366*a^5*b^11*c*d^15*e^12*f^4 + 366*a^5*b^11*c^12*d^4*e*f^15 + 354*a^6*b^10*c*d^15*e^11*f^5 + 354*a^6*b^10*c^11*d^5*e*f^15 - 1458*a^7*b^9*c*d^15*e^10*f^6 - 1458*a^7*b^9*c^10*d^6*e*f^15 + 942*a^8*b^8*c*d^15*e^9*f^7 + 942*a^8*b^8*c^9*d^7*e*f^15 + 942*a^9*b^7*c*d^15*e^8*f^8 + 942*a^9*b^7*c^8*d^8*e*f^15 - 1458*a^10*b^6*c*d^15*e^7*f^9 - 1458*a^10*b^6*c^7*d^9*e*f^15 + 354*a^11*b^5*c*d^15*e^6*f^10 + 354*a^11*b^5*c^6*d^10*e*f^15 + 366*a^12*b^4*c*d^15*e^5*f^11 + 366*a^12*b^4*c^5*d^11*e*f^15 - 252*a^13*b^3*c*d^15*e^4*f^12 - 252*a^13*b^3*c^4*d^12*e*f^15 + 48*a^14*b^2*c*d^15*e^3*f^13 + 48*a^14*b^2*c^3*d^13*e*f^15 - 72*a^2*b^14*c^2*d^14*e^14*f^2 + 168*a^2*b^14*c^3*d^13*e^13*f^3 + 723*a^2*b^14*c^4*d^12*e^12*f^4 - 3258*a^2*b^14*c^5*d^11*e^11*f^5 + 3156*a^2*b^14*c^6*d^10*e^10*f^6 + 3522*a^2*b^14*c^7*d^9*e^9*f^7 - 8478*a^2*b^14*c^8*d^8*e^8*f^8 + 3522*a^2*b^14*c^9*d^7*e^7*f^9 + 3156*a^2*b^14*c^10*d^6*e^6*f^10 - 3258*a^2*b^14*c^11*d^5*e^5*f^11 + 723*a^2*b^14*c^12*d^4*e^4*f^12 + 168*a^2*b^14*c^13*d^3*e^3*f^13 - 72*a^2*b^14*c^14*d^2*e^2*f^14 + 168*a^3*b^13*c^2*d^14*e^13*f^3 - 1692*a^3*b^13*c^3*d^13*e^12*f^4 + 2538*a^3*b^13*c^4*d^12*e^11*f^5 + 5634*a^3*b^13*c^5*d^11*e^10*f^6 - 18738*a^3*b^13*c^6*d^10*e^9*f^7 + 12042*a^3*b^13*c^7*d^9*e^8*f^8 + 12042*a^3*b^13*c^8*d^8*e^7*f^9 - 18738*a^3*b^13*c^9*d^7*e^6*f^10 + 5634*a^3*b^13*c^10*d^6*e^5*f^11 + 2538*a^3*b^13*c^11*d^5*e^4*f^12 - 1692*a^3*b^13*c^12*d^4*e^3*f^13 + 168*a^3*b^13*c^13*d^3*e^2*f^14 + 723*a^4*b^12*c^2*d^14*e^12*f^4 + 2538*a^4*b^12*c^3*d^13*e^11*f^5 - 14022*a^4*b^12*c^4*d^12*e^10*f^6 + 14022*a^4*b^12*c^5*d^11*e^9*f^7 + 21087*a^4*b^12*c^6*d^10*e^8*f^8 - 48168*a^4*b^12*c^7*d^9*e^7*f^9 + 21087*a^4*b^12*c^8*d^8*e^6*f^10 + 14022*a^4*b^12*c^9*d^7*e^5*f^11 - 14022*a^4*b^12*c^10*d^6*e^4*f^12 + 2538*a^4*b^12*c^11*d^5*e^3*f^13 + 723*a^4*b^12*c^12*d^4*e^2*f^14 - 3258*a^5*b^11*c^2*d^14*e^11*f^5 + 5634*a^5*b^11*c^3*d^13*e^10*f^6 + 14022*a^5*b^11*c^4*d^12*e^9*f^7 - 50544*a^5*b^11*c^5*d^11*e^8*f^8 + 33696*a^5*b^11*c^6*d^10*e^7*f^9 + 33696*a^5*b^11*c^7*d^9*e^6*f^10 - 50544*a^5*b^11*c^8*d^8*e^5*f^11 + 14022*a^5*b^11*c^9*d^7*e^4*f^12 + 5634*a^5*b^11*c^10*d^6*e^3*f^13 - 3258*a^5*b^11*c^11*d^5*e^2*f^14 + 3156*a^6*b^10*c^2*d^14*e^10*f^6 - 18738*a^6*b^10*c^3*d^13*e^9*f^7 + 21087*a^6*b^10*c^4*d^12*e^8*f^8 + 33696*a^6*b^10*c^5*d^11*e^7*f^9 - 78624*a^6*b^10*c^6*d^10*e^6*f^10 + 33696*a^6*b^10*c^7*d^9*e^5*f^11 + 21087*a^6*b^10*c^8*d^8*e^4*f^12 - 18738*a^6*b^10*c^9*d^7*e^3*f^13 + 3156*a^6*b^10*c^10*d^6*e^2*f^14 + 3522*a^7*b^9*c^2*d^14*e^9*f^7 + 12042*a^7*b^9*c^3*d^13*e^8*f^8 - 48168*a^7*b^9*c^4*d^12*e^7*f^9 + 33696*a^7*b^9*c^5*d^11*e^6*f^10 + 33696*a^7*b^9*c^6*d^10*e^5*f^11 - 48168*a^7*b^9*c^7*d^9*e^4*f^12 + 12042*a^7*b^9*c^8*d^8*e^3*f^13 + 3522*a^7*b^9*c^9*d^7*e^2*f^14 - 8478*a^8*b^8*c^2*d^14*e^8*f^8 + 12042*a^8*b^8*c^3*d^13*e^7*f^9 + 21087*a^8*b^8*c^4*d^12*e^6*f^10 - 50544*a^8*b^8*c^5*d^11*e^5*f^11 + 21087*a^8*b^8*c^6*d^10*e^4*f^12 + 12042*a^8*b^8*c^7*d^9*e^3*f^13 - 8478*a^8*b^8*c^8*d^8*e^2*f^14 + 3522*a^9*b^7*c^2*d^14*e^7*f^9 - 18738*a^9*b^7*c^3*d^13*e^6*f^10 + 14022*a^9*b^7*c^4*d^12*e^5*f^11 + 14022*a^9*b^7*c^5*d^11*e^4*f^12 - 18738*a^9*b^7*c^6*d^10*e^3*f^13 + 3522*a^9*b^7*c^7*d^9*e^2*f^14 + 3156*a^10*b^6*c^2*d^14*e^6*f^10 + 5634*a^10*b^6*c^3*d^13*e^5*f^11 - 14022*a^10*b^6*c^4*d^12*e^4*f^12 + 5634*a^10*b^6*c^5*d^11*e^3*f^13 + 3156*a^10*b^6*c^6*d^10*e^2*f^14 - 3258*a^11*b^5*c^2*d^14*e^5*f^11 + 2538*a^11*b^5*c^3*d^13*e^4*f^12 + 2538*a^11*b^5*c^4*d^12*e^3*f^13 - 3258*a^11*b^5*c^5*d^11*e^2*f^14 + 723*a^12*b^4*c^2*d^14*e^4*f^12 - 1692*a^12*b^4*c^3*d^13*e^3*f^13 + 723*a^12*b^4*c^4*d^12*e^2*f^14 + 168*a^13*b^3*c^2*d^14*e^3*f^13 + 168*a^13*b^3*c^3*d^13*e^2*f^14 - 72*a^14*b^2*c^2*d^14*e^2*f^14))/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14)) - (36*a^11*b^2*d^13*f^13 + 36*b^13*c^11*d^2*f^13 + 36*b^13*d^13*e^11*f^2 + 297*a^2*b^11*c^9*d^4*f^13 - 108*a^3*b^10*c^8*d^5*f^13 - 198*a^4*b^9*c^7*d^6*f^13 + 153*a^5*b^8*c^6*d^7*f^13 + 153*a^6*b^7*c^5*d^8*f^13 - 198*a^7*b^6*c^4*d^9*f^13 - 108*a^8*b^5*c^3*d^10*f^13 + 297*a^9*b^4*c^2*d^11*f^13 + 297*a^2*b^11*d^13*e^9*f^4 - 108*a^3*b^10*d^13*e^8*f^5 - 198*a^4*b^9*d^13*e^7*f^6 + 153*a^5*b^8*d^13*e^6*f^7 + 153*a^6*b^7*d^13*e^5*f^8 - 198*a^7*b^6*d^13*e^4*f^9 - 108*a^8*b^5*d^13*e^3*f^10 + 297*a^9*b^4*d^13*e^2*f^11 + 297*b^13*c^2*d^11*e^9*f^4 - 108*b^13*c^3*d^10*e^8*f^5 - 198*b^13*c^4*d^9*e^7*f^6 + 153*b^13*c^5*d^8*e^6*f^7 + 153*b^13*c^6*d^7*e^5*f^8 - 198*b^13*c^7*d^6*e^4*f^9 - 108*b^13*c^8*d^5*e^3*f^10 + 297*b^13*c^9*d^4*e^2*f^11 - 180*a*b^12*c^10*d^3*f^13 - 180*a^10*b^3*c*d^12*f^13 - 180*a*b^12*d^13*e^10*f^3 - 180*a^10*b^3*d^13*e*f^12 - 180*b^13*c*d^12*e^10*f^3 - 180*b^13*c^10*d^3*e*f^12 + 1026*a*b^12*c*d^12*e^9*f^4 + 1026*a*b^12*c^9*d^4*e*f^12 + 1026*a^9*b^4*c*d^12*e*f^12 - 2052*a*b^12*c^2*d^11*e^8*f^5 + 1548*a*b^12*c^3*d^10*e^7*f^6 + 297*a*b^12*c^4*d^9*e^6*f^7 - 1242*a*b^12*c^5*d^8*e^5*f^8 + 297*a*b^12*c^6*d^7*e^4*f^9 + 1548*a*b^12*c^7*d^6*e^3*f^10 - 2052*a*b^12*c^8*d^5*e^2*f^11 - 2052*a^2*b^11*c*d^12*e^8*f^5 - 2052*a^2*b^11*c^8*d^5*e*f^12 + 1548*a^3*b^10*c*d^12*e^7*f^6 + 1548*a^3*b^10*c^7*d^6*e*f^12 + 297*a^4*b^9*c*d^12*e^6*f^7 + 297*a^4*b^9*c^6*d^7*e*f^12 - 1242*a^5*b^8*c*d^12*e^5*f^8 - 1242*a^5*b^8*c^5*d^8*e*f^12 + 297*a^6*b^7*c*d^12*e^4*f^9 + 297*a^6*b^7*c^4*d^9*e*f^12 + 1548*a^7*b^6*c*d^12*e^3*f^10 + 1548*a^7*b^6*c^3*d^10*e*f^12 - 2052*a^8*b^5*c*d^12*e^2*f^11 - 2052*a^8*b^5*c^2*d^11*e*f^12 + 4860*a^2*b^11*c^2*d^11*e^7*f^6 - 4986*a^2*b^11*c^3*d^10*e^6*f^7 + 1701*a^2*b^11*c^4*d^9*e^5*f^8 + 1701*a^2*b^11*c^5*d^8*e^4*f^9 - 4986*a^2*b^11*c^6*d^7*e^3*f^10 + 4860*a^2*b^11*c^7*d^6*e^2*f^11 - 4986*a^3*b^10*c^2*d^11*e^6*f^7 + 6336*a^3*b^10*c^3*d^10*e^5*f^8 - 3960*a^3*b^10*c^4*d^9*e^4*f^9 + 6336*a^3*b^10*c^5*d^8*e^3*f^10 - 4986*a^3*b^10*c^6*d^7*e^2*f^11 + 1701*a^4*b^9*c^2*d^11*e^5*f^8 - 3960*a^4*b^9*c^3*d^10*e^4*f^9 - 3960*a^4*b^9*c^4*d^9*e^3*f^10 + 1701*a^4*b^9*c^5*d^8*e^2*f^11 + 1701*a^5*b^8*c^2*d^11*e^4*f^9 + 6336*a^5*b^8*c^3*d^10*e^3*f^10 + 1701*a^5*b^8*c^4*d^9*e^2*f^11 - 4986*a^6*b^7*c^2*d^11*e^3*f^10 - 4986*a^6*b^7*c^3*d^10*e^2*f^11 + 4860*a^7*b^6*c^2*d^11*e^2*f^11)/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14) + (x*(108*a^3*b^10*c^7*d^6*f^13 - 36*b^13*c^10*d^3*f^13 - 36*b^13*d^13*e^10*f^3 - 297*a^2*b^11*c^8*d^5*f^13 - 36*a^10*b^3*d^13*f^13 + 324*a^4*b^9*c^6*d^7*f^13 - 594*a^5*b^8*c^5*d^8*f^13 + 324*a^6*b^7*c^4*d^9*f^13 + 108*a^7*b^6*c^3*d^10*f^13 - 297*a^8*b^5*c^2*d^11*f^13 - 297*a^2*b^11*d^13*e^8*f^5 + 108*a^3*b^10*d^13*e^7*f^6 + 324*a^4*b^9*d^13*e^6*f^7 - 594*a^5*b^8*d^13*e^5*f^8 + 324*a^6*b^7*d^13*e^4*f^9 + 108*a^7*b^6*d^13*e^3*f^10 - 297*a^8*b^5*d^13*e^2*f^11 - 297*b^13*c^2*d^11*e^8*f^5 + 108*b^13*c^3*d^10*e^7*f^6 + 324*b^13*c^4*d^9*e^6*f^7 - 594*b^13*c^5*d^8*e^5*f^8 + 324*b^13*c^6*d^7*e^4*f^9 + 108*b^13*c^7*d^6*e^3*f^10 - 297*b^13*c^8*d^5*e^2*f^11 + 180*a*b^12*c^9*d^4*f^13 + 180*a^9*b^4*c*d^12*f^13 + 180*a*b^12*d^13*e^9*f^4 + 180*a^9*b^4*d^13*e*f^12 + 180*b^13*c*d^12*e^9*f^4 + 180*b^13*c^9*d^4*e*f^12 - 1026*a*b^12*c*d^12*e^8*f^5 - 1026*a*b^12*c^8*d^5*e*f^12 - 1026*a^8*b^5*c*d^12*e*f^12 + 2052*a*b^12*c^2*d^11*e^7*f^6 - 2052*a*b^12*c^3*d^10*e^6*f^7 + 1026*a*b^12*c^4*d^9*e^5*f^8 + 1026*a*b^12*c^5*d^8*e^4*f^9 - 2052*a*b^12*c^6*d^7*e^3*f^10 + 2052*a*b^12*c^7*d^6*e^2*f^11 + 2052*a^2*b^11*c*d^12*e^7*f^6 + 2052*a^2*b^11*c^7*d^6*e*f^12 - 2052*a^3*b^10*c*d^12*e^6*f^7 - 2052*a^3*b^10*c^6*d^7*e*f^12 + 1026*a^4*b^9*c*d^12*e^5*f^8 + 1026*a^4*b^9*c^5*d^8*e*f^12 + 1026*a^5*b^8*c*d^12*e^4*f^9 + 1026*a^5*b^8*c^4*d^9*e*f^12 - 2052*a^6*b^7*c*d^12*e^3*f^10 - 2052*a^6*b^7*c^3*d^10*e*f^12 + 2052*a^7*b^6*c*d^12*e^2*f^11 + 2052*a^7*b^6*c^2*d^11*e*f^12 - 4104*a^2*b^11*c^2*d^11*e^6*f^7 + 4104*a^2*b^11*c^3*d^10*e^5*f^8 - 5130*a^2*b^11*c^4*d^9*e^4*f^9 + 4104*a^2*b^11*c^5*d^8*e^3*f^10 - 4104*a^2*b^11*c^6*d^7*e^2*f^11 + 4104*a^3*b^10*c^2*d^11*e^5*f^8 + 4104*a^3*b^10*c^5*d^8*e^2*f^11 - 5130*a^4*b^9*c^2*d^11*e^4*f^9 - 5130*a^4*b^9*c^4*d^9*e^2*f^11 + 4104*a^5*b^8*c^2*d^11*e^3*f^10 + 4104*a^5*b^8*c^3*d^10*e^2*f^11 - 4104*a^6*b^7*c^2*d^11*e^2*f^11))/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14))*root(756756*a^10*b^10*c^10*d^10*e^10*f^10*z^3 + 573300*a^12*b^8*c^9*d^11*e^9*f^11*z^3 + 573300*a^11*b^9*c^11*d^9*e^8*f^12*z^3 + 573300*a^11*b^9*c^8*d^12*e^11*f^9*z^3 + 573300*a^9*b^11*c^12*d^8*e^9*f^11*z^3 + 573300*a^9*b^11*c^9*d^11*e^12*f^8*z^3 + 573300*a^8*b^12*c^11*d^9*e^11*f^9*z^3 - 343980*a^11*b^9*c^10*d^10*e^9*f^11*z^3 - 343980*a^11*b^9*c^9*d^11*e^10*f^10*z^3 - 343980*a^10*b^10*c^11*d^9*e^9*f^11*z^3 - 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7980*a^5*b^15*c^9*d^11*e^16*f^4*z^3 - 7980*a^4*b^16*c^15*d^5*e^11*f^9*z^3 - 7980*a^4*b^16*c^11*d^9*e^15*f^5*z^3 + 6300*a^18*b^2*c^6*d^14*e^6*f^14*z^3 + 6300*a^14*b^6*c^14*d^6*e^2*f^18*z^3 + 6300*a^14*b^6*c^2*d^18*e^14*f^6*z^3 + 6300*a^6*b^14*c^18*d^2*e^6*f^14*z^3 + 6300*a^6*b^14*c^6*d^14*e^18*f^2*z^3 + 6300*a^2*b^18*c^14*d^6*e^14*f^6*z^3 - 4260*a^18*b^2*c^7*d^13*e^5*f^15*z^3 - 4260*a^18*b^2*c^5*d^15*e^7*f^13*z^3 - 4260*a^15*b^5*c^13*d^7*e^2*f^18*z^3 - 4260*a^15*b^5*c^2*d^18*e^13*f^7*z^3 - 4260*a^13*b^7*c^15*d^5*e^2*f^18*z^3 - 4260*a^13*b^7*c^2*d^18*e^15*f^5*z^3 - 4260*a^7*b^13*c^18*d^2*e^5*f^15*z^3 - 4260*a^7*b^13*c^5*d^15*e^18*f^2*z^3 - 4260*a^5*b^15*c^18*d^2*e^7*f^13*z^3 - 4260*a^5*b^15*c^7*d^13*e^18*f^2*z^3 - 4260*a^2*b^18*c^15*d^5*e^13*f^7*z^3 - 4260*a^2*b^18*c^13*d^7*e^15*f^5*z^3 + 1470*a^17*b^3*c^10*d^10*e^3*f^17*z^3 + 1470*a^17*b^3*c^3*d^17*e^10*f^10*z^3 + 1470*a^10*b^10*c^17*d^3*e^3*f^17*z^3 + 1470*a^10*b^10*c^3*d^17*e^17*f^3*z^3 + 1470*a^3*b^17*c^17*d^3*e^10*f^10*z^3 + 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525*a^8*b^12*c^4*d^16*e^18*f^2*z^3 + 525*a^4*b^16*c^18*d^2*e^8*f^12*z^3 + 525*a^4*b^16*c^8*d^12*e^18*f^2*z^3 + 525*a^2*b^18*c^16*d^4*e^12*f^8*z^3 + 525*a^2*b^18*c^12*d^8*e^16*f^4*z^3 + 900*a^19*b*c^7*d^13*e^4*f^16*z^3 + 900*a^19*b*c^4*d^16*e^7*f^13*z^3 + 900*a^16*b^4*c^13*d^7*e*f^19*z^3 + 900*a^16*b^4*c*d^19*e^13*f^7*z^3 + 900*a^13*b^7*c^16*d^4*e*f^19*z^3 + 900*a^13*b^7*c*d^19*e^16*f^4*z^3 + 900*a^7*b^13*c^19*d*e^4*f^16*z^3 + 900*a^7*b^13*c^4*d^16*e^19*f*z^3 + 900*a^4*b^16*c^19*d*e^7*f^13*z^3 + 900*a^4*b^16*c^7*d^13*e^19*f*z^3 + 900*a*b^19*c^16*d^4*e^13*f^7*z^3 + 900*a*b^19*c^13*d^7*e^16*f^4*z^3 - 750*a^19*b*c^8*d^12*e^3*f^17*z^3 - 750*a^19*b*c^3*d^17*e^8*f^12*z^3 - 750*a^17*b^3*c^12*d^8*e*f^19*z^3 - 750*a^17*b^3*c*d^19*e^12*f^8*z^3 - 750*a^12*b^8*c^17*d^3*e*f^19*z^3 - 750*a^12*b^8*c*d^19*e^17*f^3*z^3 - 750*a^8*b^12*c^19*d*e^3*f^17*z^3 - 750*a^8*b^12*c^3*d^17*e^19*f*z^3 - 750*a^3*b^17*c^19*d*e^8*f^12*z^3 - 750*a^3*b^17*c^8*d^12*e^19*f*z^3 - 750*a*b^19*c^17*d^3*e^12*f^8*z^3 - 750*a*b^19*c^12*d^8*e^17*f^3*z^3 - 420*a^19*b*c^6*d^14*e^5*f^15*z^3 - 420*a^19*b*c^5*d^15*e^6*f^14*z^3 - 420*a^15*b^5*c^14*d^6*e*f^19*z^3 - 420*a^15*b^5*c*d^19*e^14*f^6*z^3 - 420*a^14*b^6*c^15*d^5*e*f^19*z^3 - 420*a^14*b^6*c*d^19*e^15*f^5*z^3 - 420*a^6*b^14*c^19*d*e^5*f^15*z^3 - 420*a^6*b^14*c^5*d^15*e^19*f*z^3 - 420*a^5*b^15*c^19*d*e^6*f^14*z^3 - 420*a^5*b^15*c^6*d^14*e^19*f*z^3 - 420*a*b^19*c^15*d^5*e^14*f^6*z^3 - 420*a*b^19*c^14*d^6*e^15*f^5*z^3 + 350*a^19*b*c^9*d^11*e^2*f^18*z^3 + 350*a^19*b*c^2*d^18*e^9*f^11*z^3 + 350*a^18*b^2*c^11*d^9*e*f^19*z^3 + 350*a^18*b^2*c*d^19*e^11*f^9*z^3 + 350*a^11*b^9*c^18*d^2*e*f^19*z^3 + 350*a^11*b^9*c*d^19*e^18*f^2*z^3 + 350*a^9*b^11*c^19*d*e^2*f^18*z^3 + 350*a^9*b^11*c^2*d^18*e^19*f*z^3 + 350*a^2*b^18*c^19*d*e^9*f^11*z^3 + 350*a^2*b^18*c^9*d^11*e^19*f*z^3 + 350*a*b^19*c^18*d^2*e^11*f^9*z^3 + 350*a*b^19*c^11*d^9*e^18*f^2*z^3 - 90*a^19*b*c^10*d^10*e*f^19*z^3 - 90*a^19*b*c*d^19*e^10*f^10*z^3 - 90*a^10*b^10*c^19*d*e*f^19*z^3 - 90*a^10*b^10*c*d^19*e^19*f*z^3 - 90*a*b^19*c^19*d*e^10*f^10*z^3 - 90*a*b^19*c^10*d^10*e^19*f*z^3 + 10*b^20*c^19*d*e^11*f^9*z^3 + 10*b^20*c^11*d^9*e^19*f*z^3 + 10*a^20*c^9*d^11*e*f^19*z^3 + 10*a^20*c*d^19*e^9*f^11*z^3 + 10*a^19*b*d^20*e^11*f^9*z^3 + 10*a^11*b^9*d^20*e^19*f*z^3 + 10*a^9*b^11*c^20*e*f^19*z^3 + 10*a*b^19*c^20*e^9*f^11*z^3 + 10*a^19*b*c^11*d^9*f^20*z^3 + 10*a^11*b^9*c^19*d*f^20*z^3 + 10*a^9*b^11*c*d^19*e^20*z^3 + 10*a*b^19*c^9*d^11*e^20*z^3 + 252*b^20*c^15*d^5*e^15*f^5*z^3 - 210*b^20*c^16*d^4*e^14*f^6*z^3 - 210*b^20*c^14*d^6*e^16*f^4*z^3 + 120*b^20*c^17*d^3*e^13*f^7*z^3 + 120*b^20*c^13*d^7*e^17*f^3*z^3 - 45*b^20*c^18*d^2*e^12*f^8*z^3 - 45*b^20*c^12*d^8*e^18*f^2*z^3 + 252*a^20*c^5*d^15*e^5*f^15*z^3 - 210*a^20*c^6*d^14*e^4*f^16*z^3 - 210*a^20*c^4*d^16*e^6*f^14*z^3 + 120*a^20*c^7*d^13*e^3*f^17*z^3 + 120*a^20*c^3*d^17*e^7*f^13*z^3 - 45*a^20*c^8*d^12*e^2*f^18*z^3 - 45*a^20*c^2*d^18*e^8*f^12*z^3 + 252*a^15*b^5*d^20*e^15*f^5*z^3 - 210*a^16*b^4*d^20*e^14*f^6*z^3 - 210*a^14*b^6*d^20*e^16*f^4*z^3 + 120*a^17*b^3*d^20*e^13*f^7*z^3 + 120*a^13*b^7*d^20*e^17*f^3*z^3 - 45*a^18*b^2*d^20*e^12*f^8*z^3 - 45*a^12*b^8*d^20*e^18*f^2*z^3 + 252*a^5*b^15*c^20*e^5*f^15*z^3 - 210*a^6*b^14*c^20*e^4*f^16*z^3 - 210*a^4*b^16*c^20*e^6*f^14*z^3 + 120*a^7*b^13*c^20*e^3*f^17*z^3 + 120*a^3*b^17*c^20*e^7*f^13*z^3 - 45*a^8*b^12*c^20*e^2*f^18*z^3 - 45*a^2*b^18*c^20*e^8*f^12*z^3 + 252*a^15*b^5*c^15*d^5*f^20*z^3 - 210*a^16*b^4*c^14*d^6*f^20*z^3 - 210*a^14*b^6*c^16*d^4*f^20*z^3 + 120*a^17*b^3*c^13*d^7*f^20*z^3 + 120*a^13*b^7*c^17*d^3*f^20*z^3 - 45*a^18*b^2*c^12*d^8*f^20*z^3 - 45*a^12*b^8*c^18*d^2*f^20*z^3 + 252*a^5*b^15*c^5*d^15*e^20*z^3 - 210*a^6*b^14*c^4*d^16*e^20*z^3 - 210*a^4*b^16*c^6*d^14*e^20*z^3 + 120*a^7*b^13*c^3*d^17*e^20*z^3 + 120*a^3*b^17*c^7*d^13*e^20*z^3 - 45*a^8*b^12*c^2*d^18*e^20*z^3 - 45*a^2*b^18*c^8*d^12*e^20*z^3 - b^20*c^20*e^10*f^10*z^3 - a^20*d^20*e^10*f^10*z^3 - b^20*c^10*d^10*e^20*z^3 - a^20*c^10*d^10*f^20*z^3 - a^10*b^10*d^20*e^20*z^3 - a^10*b^10*c^20*f^20*z^3 + 1890*a^12*b^2*c*d^13*e*f^13*z + 1890*a*b^13*c^12*d^2*e*f^13*z + 1890*a*b^13*c*d^13*e^12*f^2*z + 92610*a^6*b^8*c^4*d^10*e^4*f^10*z + 92610*a^4*b^10*c^6*d^8*e^4*f^10*z + 92610*a^4*b^10*c^4*d^10*e^6*f^8*z + 66150*a^8*b^6*c^3*d^11*e^3*f^11*z - 66150*a^7*b^7*c^4*d^10*e^3*f^11*z - 66150*a^7*b^7*c^3*d^11*e^4*f^10*z - 66150*a^4*b^10*c^7*d^7*e^3*f^11*z - 66150*a^4*b^10*c^3*d^11*e^7*f^7*z + 66150*a^3*b^11*c^8*d^6*e^3*f^11*z - 66150*a^3*b^11*c^7*d^7*e^4*f^10*z - 66150*a^3*b^11*c^4*d^10*e^7*f^7*z + 66150*a^3*b^11*c^3*d^11*e^8*f^6*z - 55566*a^5*b^9*c^5*d^9*e^4*f^10*z - 55566*a^5*b^9*c^4*d^10*e^5*f^9*z - 55566*a^4*b^10*c^5*d^9*e^5*f^9*z - 32130*a^9*b^5*c^3*d^11*e^2*f^12*z - 32130*a^9*b^5*c^2*d^12*e^3*f^11*z - 32130*a^3*b^11*c^9*d^5*e^2*f^12*z - 32130*a^3*b^11*c^2*d^12*e^9*f^5*z - 32130*a^2*b^12*c^9*d^5*e^3*f^11*z - 32130*a^2*b^12*c^3*d^11*e^9*f^5*z + 22680*a^8*b^6*c^4*d^10*e^2*f^12*z + 22680*a^8*b^6*c^2*d^12*e^4*f^10*z + 22680*a^4*b^10*c^8*d^6*e^2*f^12*z + 22680*a^4*b^10*c^2*d^12*e^8*f^6*z + 22680*a^2*b^12*c^8*d^6*e^4*f^10*z + 22680*a^2*b^12*c^4*d^10*e^8*f^6*z + 19278*a^10*b^4*c^2*d^12*e^2*f^12*z + 19278*a^2*b^12*c^10*d^4*e^2*f^12*z + 19278*a^2*b^12*c^2*d^12*e^10*f^4*z + 18522*a^6*b^8*c^5*d^9*e^3*f^11*z + 18522*a^6*b^8*c^3*d^11*e^5*f^9*z + 18522*a^5*b^9*c^6*d^8*e^3*f^11*z + 18522*a^5*b^9*c^3*d^11*e^6*f^8*z + 18522*a^3*b^11*c^6*d^8*e^5*f^9*z + 18522*a^3*b^11*c^5*d^9*e^6*f^8*z - 13230*a^6*b^8*c^6*d^8*e^2*f^12*z - 13230*a^6*b^8*c^2*d^12*e^6*f^8*z - 13230*a^2*b^12*c^6*d^8*e^6*f^8*z + 3402*a^7*b^7*c^5*d^9*e^2*f^12*z + 3402*a^7*b^7*c^2*d^12*e^5*f^9*z + 3402*a^5*b^9*c^7*d^7*e^2*f^12*z + 3402*a^5*b^9*c^2*d^12*e^7*f^7*z + 3402*a^2*b^12*c^7*d^7*e^5*f^9*z + 3402*a^2*b^12*c^5*d^9*e^7*f^7*z + 7938*a^10*b^4*c^3*d^11*e*f^13*z + 7938*a^10*b^4*c*d^13*e^3*f^11*z + 7938*a^3*b^11*c^10*d^4*e*f^13*z + 7938*a^3*b^11*c*d^13*e^10*f^4*z + 7938*a*b^13*c^10*d^4*e^3*f^11*z + 7938*a*b^13*c^3*d^11*e^10*f^4*z - 5670*a^11*b^3*c^2*d^12*e*f^13*z - 5670*a^11*b^3*c*d^13*e^2*f^12*z - 5670*a^2*b^12*c^11*d^3*e*f^13*z - 5670*a^2*b^12*c*d^13*e^11*f^3*z - 5670*a*b^13*c^11*d^3*e^2*f^12*z - 5670*a*b^13*c^2*d^12*e^11*f^3*z - 3780*a^9*b^5*c^4*d^10*e*f^13*z - 3780*a^9*b^5*c*d^13*e^4*f^10*z - 3780*a^4*b^10*c^9*d^5*e*f^13*z - 3780*a^4*b^10*c*d^13*e^9*f^5*z - 3780*a*b^13*c^9*d^5*e^4*f^10*z - 3780*a*b^13*c^4*d^10*e^9*f^5*z - 2268*a^8*b^6*c^5*d^9*e*f^13*z - 2268*a^8*b^6*c*d^13*e^5*f^9*z - 2268*a^5*b^9*c^8*d^6*e*f^13*z - 2268*a^5*b^9*c*d^13*e^8*f^6*z - 2268*a*b^13*c^8*d^6*e^5*f^9*z - 2268*a*b^13*c^5*d^9*e^8*f^6*z + 1890*a^7*b^7*c^6*d^8*e*f^13*z + 1890*a^7*b^7*c*d^13*e^6*f^8*z + 1890*a^6*b^8*c^7*d^7*e*f^13*z + 1890*a^6*b^8*c*d^13*e^7*f^7*z + 1890*a*b^13*c^7*d^7*e^6*f^8*z + 1890*a*b^13*c^6*d^8*e^7*f^7*z - 252*b^14*c^13*d*e*f^13*z - 252*b^14*c*d^13*e^13*f*z - 252*a^13*b*d^14*e*f^13*z - 252*a*b^13*d^14*e^13*f*z - 252*a^13*b*c*d^13*f^14*z - 252*a*b^13*c^13*d*f^14*z - 918*b^14*c^7*d^7*e^7*f^7*z - 882*b^14*c^11*d^3*e^3*f^11*z - 882*b^14*c^3*d^11*e^11*f^3*z + 693*b^14*c^12*d^2*e^2*f^12*z + 693*b^14*c^2*d^12*e^12*f^2*z + 567*b^14*c^8*d^6*e^6*f^8*z + 567*b^14*c^6*d^8*e^8*f^6*z + 441*b^14*c^10*d^4*e^4*f^10*z + 441*b^14*c^4*d^10*e^10*f^4*z - 126*b^14*c^9*d^5*e^5*f^9*z - 126*b^14*c^5*d^9*e^9*f^5*z - 918*a^7*b^7*d^14*e^7*f^7*z - 882*a^11*b^3*d^14*e^3*f^11*z - 882*a^3*b^11*d^14*e^11*f^3*z + 693*a^12*b^2*d^14*e^2*f^12*z + 693*a^2*b^12*d^14*e^12*f^2*z + 567*a^8*b^6*d^14*e^6*f^8*z + 567*a^6*b^8*d^14*e^8*f^6*z + 441*a^10*b^4*d^14*e^4*f^10*z + 441*a^4*b^10*d^14*e^10*f^4*z - 126*a^9*b^5*d^14*e^5*f^9*z - 126*a^5*b^9*d^14*e^9*f^5*z - 918*a^7*b^7*c^7*d^7*f^14*z - 882*a^11*b^3*c^3*d^11*f^14*z - 882*a^3*b^11*c^11*d^3*f^14*z + 693*a^12*b^2*c^2*d^12*f^14*z + 693*a^2*b^12*c^12*d^2*f^14*z + 567*a^8*b^6*c^6*d^8*f^14*z + 567*a^6*b^8*c^8*d^6*f^14*z + 441*a^10*b^4*c^4*d^10*f^14*z + 441*a^4*b^10*c^10*d^4*f^14*z - 126*a^9*b^5*c^5*d^9*f^14*z - 126*a^5*b^9*c^9*d^5*f^14*z + 36*b^14*d^14*e^14*z + 36*b^14*c^14*f^14*z + 36*a^14*d^14*f^14*z - 27054*a^2*b^9*c^2*d^9*e^2*f^9 + 9018*a^3*b^8*c^2*d^9*e*f^10 + 9018*a^3*b^8*c*d^10*e^2*f^9 + 9018*a^2*b^9*c^3*d^8*e*f^10 + 9018*a^2*b^9*c*d^10*e^3*f^8 + 9018*a*b^10*c^3*d^8*e^2*f^9 + 9018*a*b^10*c^2*d^9*e^3*f^8 - 9018*a^4*b^7*c*d^10*e*f^10 - 9018*a*b^10*c^4*d^7*e*f^10 - 9018*a*b^10*c*d^10*e^4*f^7 + 2268*b^11*c^5*d^6*e*f^10 + 2268*b^11*c*d^10*e^5*f^6 + 2268*a^5*b^6*d^11*e*f^10 + 2268*a*b^10*d^11*e^5*f^6 + 2268*a^5*b^6*c*d^10*f^11 + 2268*a*b^10*c^5*d^6*f^11 - 1458*b^11*c^3*d^8*e^3*f^8 - 1161*b^11*c^4*d^7*e^2*f^9 - 1161*b^11*c^2*d^9*e^4*f^7 - 1458*a^3*b^8*d^11*e^3*f^8 - 1161*a^4*b^7*d^11*e^2*f^9 - 1161*a^2*b^9*d^11*e^4*f^7 - 1458*a^3*b^8*c^3*d^8*f^11 - 1161*a^4*b^7*c^2*d^9*f^11 - 1161*a^2*b^9*c^4*d^7*f^11 - 756*b^11*d^11*e^6*f^5 - 756*b^11*c^6*d^5*f^11 - 756*a^6*b^5*d^11*f^11, z, k), k, 1, 3) - ((7*a*b^6*c^2*d^5*e^7 - a^3*b^4*d^7*e^7 - a^7*c^3*d^4*f^7 - b^7*c^3*d^4*e^7 - a^7*d^7*e^3*f^4 - b^7*c^7*e^3*f^4 - 6*a^5*b^2*c^5*d^2*f^7 - 6*a^5*b^2*d^7*e^5*f^2 - 6*b^7*c^5*d^2*e^5*f^2 - 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48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6)) + (3*x^5*(2*a^5*b^2*d^7*f^7 + 2*b^7*c^5*d^2*f^7 + 2*b^7*d^7*e^5*f^2 + 2*a^2*b^5*c^3*d^4*f^7 + 2*a^3*b^4*c^2*d^5*f^7 + 2*a^2*b^5*d^7*e^3*f^4 + 2*a^3*b^4*d^7*e^2*f^5 + 2*b^7*c^2*d^5*e^3*f^4 + 2*b^7*c^3*d^4*e^2*f^5 - 5*a*b^6*c^4*d^3*f^7 - 5*a^4*b^3*c*d^6*f^7 - 5*a*b^6*d^7*e^4*f^3 - 5*a^4*b^3*d^7*e*f^6 - 5*b^7*c*d^6*e^4*f^3 - 5*b^7*c^4*d^3*e*f^6 + 16*a*b^6*c*d^6*e^3*f^4 + 16*a*b^6*c^3*d^4*e*f^6 + 16*a^3*b^4*c*d^6*e*f^6 - 12*a*b^6*c^2*d^5*e^2*f^5 - 12*a^2*b^5*c*d^6*e^2*f^5 - 12*a^2*b^5*c^2*d^5*e*f^6))/(4*a*b^7*c^3*d^5*e^8 - 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48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6) + (3*x^4*(8*a^6*b*d^7*f^7 + 8*b^7*c^6*d*f^7 + 8*b^7*d^7*e^6*f - 7*a^2*b^5*c^4*d^3*f^7 + 14*a^3*b^4*c^3*d^4*f^7 - 7*a^4*b^3*c^2*d^5*f^7 - 7*a^2*b^5*d^7*e^4*f^3 + 14*a^3*b^4*d^7*e^3*f^4 - 7*a^4*b^3*d^7*e^2*f^5 - 7*b^7*c^2*d^5*e^4*f^3 + 14*b^7*c^3*d^4*e^3*f^4 - 7*b^7*c^4*d^3*e^2*f^5 - 14*a*b^6*c^5*d^2*f^7 - 14*a^5*b^2*c*d^6*f^7 - 14*a*b^6*d^7*e^5*f^2 - 14*a^5*b^2*d^7*e*f^6 - 14*b^7*c*d^6*e^5*f^2 - 14*b^7*c^5*d^2*e*f^6 + 34*a*b^6*c*d^6*e^4*f^3 + 34*a*b^6*c^4*d^3*e*f^6 + 34*a^4*b^3*c*d^6*e*f^6 + 6*a*b^6*c^2*d^5*e^3*f^4 + 6*a*b^6*c^3*d^4*e^2*f^5 + 6*a^2*b^5*c*d^6*e^3*f^4 + 6*a^2*b^5*c^3*d^4*e*f^6 + 6*a^3*b^4*c*d^6*e^2*f^5 + 6*a^3*b^4*c^2*d^5*e*f^6 - 78*a^2*b^5*c^2*d^5*e^2*f^5))/(2*(4*a*b^7*c^3*d^5*e^8 - a^4*b^4*d^8*e^8 - a^8*c^4*d^4*f^8 - b^8*c^4*d^4*e^8 - a^8*d^8*e^4*f^4 - b^8*c^8*e^4*f^4 - 6*a^2*b^6*c^2*d^6*e^8 - 6*a^6*b^2*c^6*d^2*f^8 - 6*a^2*b^6*c^8*e^2*f^6 - 6*a^6*b^2*d^8*e^6*f^2 - 6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6)) + (x^2*(18*a*b^6*c^7*f^7 + 18*a*b^6*d^7*e^7 + 18*a^7*c*d^6*f^7 + 18*b^7*c*d^6*e^7 + 18*a^7*d^7*e*f^6 + 18*b^7*c^7*e*f^6 - 3*a^3*b^4*c^5*d^2*f^7 + 32*a^4*b^3*c^4*d^3*f^7 - 3*a^5*b^2*c^3*d^4*f^7 - 3*a^3*b^4*d^7*e^5*f^2 + 32*a^4*b^3*d^7*e^4*f^3 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6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6)) + (x*(2*a^2*b^5*c^7*f^7 + 2*a^2*b^5*d^7*e^7 + 2*a^7*c^2*d^5*f^7 + 2*b^7*c^2*d^5*e^7 + 2*a^7*d^7*e^2*f^5 + 2*b^7*c^7*e^2*f^5 + 4*a^4*b^3*c^5*d^2*f^7 + 4*a^5*b^2*c^4*d^3*f^7 + 4*a^4*b^3*d^7*e^5*f^2 + 4*a^5*b^2*d^7*e^4*f^3 + 4*b^7*c^4*d^3*e^5*f^2 + 4*b^7*c^5*d^2*e^4*f^3 + 14*a*b^6*c*d^6*e^7 + 14*a*b^6*c^7*e*f^6 + 14*a^7*c*d^6*e*f^6 - 6*a^3*b^4*c^6*d*f^7 - 6*a^6*b*c^3*d^4*f^7 - 6*a^3*b^4*d^7*e^6*f - 6*a^6*b*d^7*e^3*f^4 - 6*b^7*c^3*d^4*e^6*f - 6*b^7*c^6*d*e^3*f^4 - 33*a*b^6*c^2*d^5*e^6*f - 33*a*b^6*c^6*d*e^2*f^5 - 33*a^2*b^5*c*d^6*e^6*f - 33*a^2*b^5*c^6*d*e*f^6 - 33*a^6*b*c*d^6*e^2*f^5 - 33*a^6*b*c^2*d^5*e*f^6 + 17*a*b^6*c^3*d^4*e^5*f^2 - 8*a*b^6*c^4*d^3*e^4*f^3 + 17*a*b^6*c^5*d^2*e^3*f^4 + 17*a^3*b^4*c*d^6*e^5*f^2 + 17*a^3*b^4*c^5*d^2*e*f^6 - 8*a^4*b^3*c*d^6*e^4*f^3 - 8*a^4*b^3*c^4*d^3*e*f^6 + 17*a^5*b^2*c*d^6*e^3*f^4 + 17*a^5*b^2*c^3*d^4*e*f^6 + 78*a^2*b^5*c^2*d^5*e^5*f^2 - 26*a^2*b^5*c^3*d^4*e^4*f^3 - 26*a^2*b^5*c^4*d^3*e^3*f^4 + 78*a^2*b^5*c^5*d^2*e^2*f^5 - 26*a^3*b^4*c^2*d^5*e^4*f^3 - 26*a^3*b^4*c^4*d^3*e^2*f^5 - 26*a^4*b^3*c^2*d^5*e^3*f^4 - 26*a^4*b^3*c^3*d^4*e^2*f^5 + 78*a^5*b^2*c^2*d^5*e^2*f^5))/(4*a*b^7*c^3*d^5*e^8 - a^4*b^4*d^8*e^8 - a^8*c^4*d^4*f^8 - b^8*c^4*d^4*e^8 - a^8*d^8*e^4*f^4 - b^8*c^8*e^4*f^4 - 6*a^2*b^6*c^2*d^6*e^8 - 6*a^6*b^2*c^6*d^2*f^8 - 6*a^2*b^6*c^8*e^2*f^6 - 6*a^6*b^2*d^8*e^6*f^2 - 6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6) + (x^3*(6*a^7*d^7*f^7 + 6*b^7*c^7*f^7 + 6*b^7*d^7*e^7 - 37*a^2*b^5*c^5*d^2*f^7 + 19*a^3*b^4*c^4*d^3*f^7 + 19*a^4*b^3*c^3*d^4*f^7 - 37*a^5*b^2*c^2*d^5*f^7 - 37*a^2*b^5*d^7*e^5*f^2 + 19*a^3*b^4*d^7*e^4*f^3 + 19*a^4*b^3*d^7*e^3*f^4 - 37*a^5*b^2*d^7*e^2*f^5 - 37*b^7*c^2*d^5*e^5*f^2 + 19*b^7*c^3*d^4*e^4*f^3 + 19*b^7*c^4*d^3*e^3*f^4 - 37*b^7*c^5*d^2*e^2*f^5 + 3*a*b^6*c^6*d*f^7 + 3*a^6*b*c*d^6*f^7 + 3*a*b^6*d^7*e^6*f + 3*a^6*b*d^7*e*f^6 + 3*b^7*c*d^6*e^6*f + 3*b^7*c^6*d*e*f^6 - 28*a*b^6*c*d^6*e^5*f^2 - 28*a*b^6*c^5*d^2*e*f^6 - 28*a^5*b^2*c*d^6*e*f^6 + 86*a*b^6*c^2*d^5*e^4*f^3 - 68*a*b^6*c^3*d^4*e^3*f^4 + 86*a*b^6*c^4*d^3*e^2*f^5 + 86*a^2*b^5*c*d^6*e^4*f^3 + 86*a^2*b^5*c^4*d^3*e*f^6 - 68*a^3*b^4*c*d^6*e^3*f^4 - 68*a^3*b^4*c^3*d^4*e*f^6 + 86*a^4*b^3*c*d^6*e^2*f^5 + 86*a^4*b^3*c^2*d^5*e*f^6 - 52*a^2*b^5*c^2*d^5*e^3*f^4 - 52*a^2*b^5*c^3*d^4*e^2*f^5 - 52*a^3*b^4*c^2*d^5*e^2*f^5))/(4*a*b^7*c^3*d^5*e^8 - a^4*b^4*d^8*e^8 - a^8*c^4*d^4*f^8 - b^8*c^4*d^4*e^8 - a^8*d^8*e^4*f^4 - b^8*c^8*e^4*f^4 - 6*a^2*b^6*c^2*d^6*e^8 - 6*a^6*b^2*c^6*d^2*f^8 - 6*a^2*b^6*c^8*e^2*f^6 - 6*a^6*b^2*d^8*e^6*f^2 - 6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6))/(x*(2*a*b*c^2*e^2 + 2*a^2*c*d*e^2 + 2*a^2*c^2*e*f) + x^3*(2*a*b*c^2*f^2 + 2*a*b*d^2*e^2 + 2*a^2*c*d*f^2 + 2*b^2*c*d*e^2 + 2*a^2*d^2*e*f + 2*b^2*c^2*e*f + 8*a*b*c*d*e*f) + x^2*(a^2*c^2*f^2 + a^2*d^2*e^2 + b^2*c^2*e^2 + 4*a*b*c*d*e^2 + 4*a*b*c^2*e*f + 4*a^2*c*d*e*f) + x^5*(2*a*b*d^2*f^2 + 2*b^2*c*d*f^2 + 2*b^2*d^2*e*f) + x^4*(a^2*d^2*f^2 + b^2*c^2*f^2 + b^2*d^2*e^2 + 4*a*b*c*d*f^2 + 4*a*b*d^2*e*f + 4*b^2*c*d*e*f) + a^2*c^2*e^2 + b^2*d^2*f^2*x^6)","B"
1717,1,7774,170,3.824852,"\text{Not used}","int((c + d*x)^(3/2)/((e + f*x)*(a + b*x)^2),x)","-\frac{d\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{b\,\left(a\,f-b\,e\right)\,\left(a\,d-b\,c+b\,\left(c+d\,x\right)\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}+\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}+\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,1{}\mathrm{i}}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}+\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}-\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}-\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,1{}\mathrm{i}}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}}{\frac{4\,\left(a^3\,c^2\,d^6\,f^5-2\,a^3\,c\,d^7\,e\,f^4+a^3\,d^8\,e^2\,f^3+2\,a^2\,b\,c^3\,d^5\,f^5-9\,a^2\,b\,c^2\,d^6\,e\,f^4+12\,a^2\,b\,c\,d^7\,e^2\,f^3-5\,a^2\,b\,d^8\,e^3\,f^2-a\,b^2\,c^4\,d^4\,f^5+9\,a\,b^2\,c^2\,d^6\,e^2\,f^3-14\,a\,b^2\,c\,d^7\,e^3\,f^2+6\,a\,b^2\,d^8\,e^4\,f-2\,b^3\,c^5\,d^3\,f^5+11\,b^3\,c^4\,d^4\,e\,f^4-22\,b^3\,c^3\,d^5\,e^2\,f^3+19\,b^3\,c^2\,d^6\,e^3\,f^2-6\,b^3\,c\,d^7\,e^4\,f\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}+\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}+\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}+\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}-\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}-\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}-\frac{\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\sqrt{c+d\,x}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)}{2\,\left(a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2\right)}}\right)\,\sqrt{-b^3\,\left(a\,d-b\,c\right)}\,\left(a\,d\,f+2\,b\,c\,f-3\,b\,d\,e\right)\,1{}\mathrm{i}}{a^2\,b^3\,f^2-2\,a\,b^4\,e\,f+b^5\,e^2}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}+\frac{\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}+\frac{2\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,\sqrt{c+d\,x}\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{f\,{\left(a\,f-b\,e\right)}^2\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(a\,f-b\,e\right)}^2}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,1{}\mathrm{i}}{f\,{\left(a\,f-b\,e\right)}^2}+\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}-\frac{\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}-\frac{2\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,\sqrt{c+d\,x}\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{f\,{\left(a\,f-b\,e\right)}^2\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(a\,f-b\,e\right)}^2}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,1{}\mathrm{i}}{f\,{\left(a\,f-b\,e\right)}^2}}{\frac{4\,\left(a^3\,c^2\,d^6\,f^5-2\,a^3\,c\,d^7\,e\,f^4+a^3\,d^8\,e^2\,f^3+2\,a^2\,b\,c^3\,d^5\,f^5-9\,a^2\,b\,c^2\,d^6\,e\,f^4+12\,a^2\,b\,c\,d^7\,e^2\,f^3-5\,a^2\,b\,d^8\,e^3\,f^2-a\,b^2\,c^4\,d^4\,f^5+9\,a\,b^2\,c^2\,d^6\,e^2\,f^3-14\,a\,b^2\,c\,d^7\,e^3\,f^2+6\,a\,b^2\,d^8\,e^4\,f-2\,b^3\,c^5\,d^3\,f^5+11\,b^3\,c^4\,d^4\,e\,f^4-22\,b^3\,c^3\,d^5\,e^2\,f^3+19\,b^3\,c^2\,d^6\,e^3\,f^2-6\,b^3\,c\,d^7\,e^4\,f\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}+\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}+\frac{\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}+\frac{2\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,\sqrt{c+d\,x}\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{f\,{\left(a\,f-b\,e\right)}^2\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(a\,f-b\,e\right)}^2}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(a\,f-b\,e\right)}^2}-\frac{\left(\frac{2\,\sqrt{c+d\,x}\,\left(a^4\,d^6\,f^5+2\,a^3\,b\,c\,d^5\,f^5-6\,a^3\,b\,d^6\,e\,f^4-3\,a^2\,b^2\,c^2\,d^4\,f^5+9\,a^2\,b^2\,d^6\,e^2\,f^3-4\,a\,b^3\,c^3\,d^3\,f^5+18\,a\,b^3\,c^2\,d^4\,e\,f^4-18\,a\,b^3\,c\,d^5\,e^2\,f^3+8\,b^4\,c^4\,d^2\,f^5-28\,b^4\,c^3\,d^3\,e\,f^4+33\,b^4\,c^2\,d^4\,e^2\,f^3-16\,b^4\,c\,d^5\,e^3\,f^2+4\,b^4\,d^6\,e^4\,f\right)}{a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2}-\frac{\left(\frac{2\,\left(-2\,a^5\,b^2\,c\,d^4\,f^7+2\,a^5\,b^2\,d^5\,e\,f^6+2\,a^4\,b^3\,c^2\,d^3\,f^7+6\,a^4\,b^3\,c\,d^4\,e\,f^6-8\,a^4\,b^3\,d^5\,e^2\,f^5-8\,a^3\,b^4\,c^2\,d^3\,e\,f^6-4\,a^3\,b^4\,c\,d^4\,e^2\,f^5+12\,a^3\,b^4\,d^5\,e^3\,f^4+12\,a^2\,b^5\,c^2\,d^3\,e^2\,f^5-4\,a^2\,b^5\,c\,d^4\,e^3\,f^4-8\,a^2\,b^5\,d^5\,e^4\,f^3-8\,a\,b^6\,c^2\,d^3\,e^3\,f^4+6\,a\,b^6\,c\,d^4\,e^4\,f^3+2\,a\,b^6\,d^5\,e^5\,f^2+2\,b^7\,c^2\,d^3\,e^4\,f^3-2\,b^7\,c\,d^4\,e^5\,f^2\right)}{-a^3\,b\,f^3+3\,a^2\,b^2\,e\,f^2-3\,a\,b^3\,e^2\,f+b^4\,e^3}-\frac{2\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,\sqrt{c+d\,x}\,\left(4\,a^5\,b^3\,d^3\,f^7-12\,a^4\,b^4\,d^3\,e\,f^6-8\,c\,a^4\,b^4\,d^2\,f^7+8\,a^3\,b^5\,d^3\,e^2\,f^5+32\,c\,a^3\,b^5\,d^2\,e\,f^6+8\,a^2\,b^6\,d^3\,e^3\,f^4-48\,c\,a^2\,b^6\,d^2\,e^2\,f^5-12\,a\,b^7\,d^3\,e^4\,f^3+32\,c\,a\,b^7\,d^2\,e^3\,f^4+4\,b^8\,d^3\,e^5\,f^2-8\,c\,b^8\,d^2\,e^4\,f^3\right)}{f\,{\left(a\,f-b\,e\right)}^2\,\left(a^2\,b\,f^2-2\,a\,b^2\,e\,f+b^3\,e^2\right)}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(a\,f-b\,e\right)}^2}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(a\,f-b\,e\right)}^2}}\right)\,\sqrt{f\,{\left(c\,f-d\,e\right)}^3}\,2{}\mathrm{i}}{f\,{\left(a\,f-b\,e\right)}^2}","Not used",1,"- (atan(((((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) + ((-b^3*(a*d - b*c))^(1/2)*((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) + ((-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/((b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(a*d*f + 2*b*c*f - 3*b*d*e))/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)))*(-b^3*(a*d - b*c))^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*1i)/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)) + (((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) - ((-b^3*(a*d - b*c))^(1/2)*((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) - ((-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/((b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(a*d*f + 2*b*c*f - 3*b*d*e))/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)))*(-b^3*(a*d - b*c))^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*1i)/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)))/((4*(a^3*c^2*d^6*f^5 - 2*b^3*c^5*d^3*f^5 + a^3*d^8*e^2*f^3 + 19*b^3*c^2*d^6*e^3*f^2 - 22*b^3*c^3*d^5*e^2*f^3 + 6*a*b^2*d^8*e^4*f - 2*a^3*c*d^7*e*f^4 - 6*b^3*c*d^7*e^4*f - a*b^2*c^4*d^4*f^5 + 2*a^2*b*c^3*d^5*f^5 - 5*a^2*b*d^8*e^3*f^2 + 11*b^3*c^4*d^4*e*f^4 - 14*a*b^2*c*d^7*e^3*f^2 + 12*a^2*b*c*d^7*e^2*f^3 - 9*a^2*b*c^2*d^6*e*f^4 + 9*a*b^2*c^2*d^6*e^2*f^3))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) + (((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) + ((-b^3*(a*d - b*c))^(1/2)*((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) + ((-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/((b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(a*d*f + 2*b*c*f - 3*b*d*e))/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)))*(-b^3*(a*d - b*c))^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e))/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)) - (((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) - ((-b^3*(a*d - b*c))^(1/2)*((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) - ((-b^3*(a*d - b*c))^(1/2)*(c + d*x)^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/((b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(a*d*f + 2*b*c*f - 3*b*d*e))/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f)))*(-b^3*(a*d - b*c))^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e))/(2*(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f))))*(-b^3*(a*d - b*c))^(1/2)*(a*d*f + 2*b*c*f - 3*b*d*e)*1i)/(b^5*e^2 + a^2*b^3*f^2 - 2*a*b^4*e*f) - (atan(((((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) + (((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) + (2*(f*(c*f - d*e)^3)^(1/2)*(c + d*x)^(1/2)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/(f*(a*f - b*e)^2*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(f*(c*f - d*e)^3)^(1/2))/(f*(a*f - b*e)^2))*(f*(c*f - d*e)^3)^(1/2)*1i)/(f*(a*f - b*e)^2) + (((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) - (((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) - (2*(f*(c*f - d*e)^3)^(1/2)*(c + d*x)^(1/2)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/(f*(a*f - b*e)^2*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(f*(c*f - d*e)^3)^(1/2))/(f*(a*f - b*e)^2))*(f*(c*f - d*e)^3)^(1/2)*1i)/(f*(a*f - b*e)^2))/((4*(a^3*c^2*d^6*f^5 - 2*b^3*c^5*d^3*f^5 + a^3*d^8*e^2*f^3 + 19*b^3*c^2*d^6*e^3*f^2 - 22*b^3*c^3*d^5*e^2*f^3 + 6*a*b^2*d^8*e^4*f - 2*a^3*c*d^7*e*f^4 - 6*b^3*c*d^7*e^4*f - a*b^2*c^4*d^4*f^5 + 2*a^2*b*c^3*d^5*f^5 - 5*a^2*b*d^8*e^3*f^2 + 11*b^3*c^4*d^4*e*f^4 - 14*a*b^2*c*d^7*e^3*f^2 + 12*a^2*b*c*d^7*e^2*f^3 - 9*a^2*b*c^2*d^6*e*f^4 + 9*a*b^2*c^2*d^6*e^2*f^3))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) + (((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) + (((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) + (2*(f*(c*f - d*e)^3)^(1/2)*(c + d*x)^(1/2)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/(f*(a*f - b*e)^2*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(f*(c*f - d*e)^3)^(1/2))/(f*(a*f - b*e)^2))*(f*(c*f - d*e)^3)^(1/2))/(f*(a*f - b*e)^2) - (((2*(c + d*x)^(1/2)*(a^4*d^6*f^5 + 4*b^4*d^6*e^4*f + 8*b^4*c^4*d^2*f^5 - 3*a^2*b^2*c^2*d^4*f^5 + 9*a^2*b^2*d^6*e^2*f^3 + 33*b^4*c^2*d^4*e^2*f^3 + 2*a^3*b*c*d^5*f^5 - 6*a^3*b*d^6*e*f^4 - 4*a*b^3*c^3*d^3*f^5 - 16*b^4*c*d^5*e^3*f^2 - 28*b^4*c^3*d^3*e*f^4 - 18*a*b^3*c*d^5*e^2*f^3 + 18*a*b^3*c^2*d^4*e*f^4))/(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f) - (((2*(2*a^4*b^3*c^2*d^3*f^7 - 8*a^2*b^5*d^5*e^4*f^3 + 12*a^3*b^4*d^5*e^3*f^4 - 8*a^4*b^3*d^5*e^2*f^5 + 2*b^7*c^2*d^3*e^4*f^3 - 2*a^5*b^2*c*d^4*f^7 + 2*a*b^6*d^5*e^5*f^2 + 2*a^5*b^2*d^5*e*f^6 - 2*b^7*c*d^4*e^5*f^2 + 6*a*b^6*c*d^4*e^4*f^3 + 6*a^4*b^3*c*d^4*e*f^6 - 8*a*b^6*c^2*d^3*e^3*f^4 - 4*a^2*b^5*c*d^4*e^3*f^4 - 4*a^3*b^4*c*d^4*e^2*f^5 - 8*a^3*b^4*c^2*d^3*e*f^6 + 12*a^2*b^5*c^2*d^3*e^2*f^5))/(b^4*e^3 - a^3*b*f^3 + 3*a^2*b^2*e*f^2 - 3*a*b^3*e^2*f) - (2*(f*(c*f - d*e)^3)^(1/2)*(c + d*x)^(1/2)*(4*a^5*b^3*d^3*f^7 + 4*b^8*d^3*e^5*f^2 + 8*a^2*b^6*d^3*e^3*f^4 + 8*a^3*b^5*d^3*e^2*f^5 - 8*a^4*b^4*c*d^2*f^7 - 12*a*b^7*d^3*e^4*f^3 - 12*a^4*b^4*d^3*e*f^6 - 8*b^8*c*d^2*e^4*f^3 + 32*a*b^7*c*d^2*e^3*f^4 + 32*a^3*b^5*c*d^2*e*f^6 - 48*a^2*b^6*c*d^2*e^2*f^5))/(f*(a*f - b*e)^2*(b^3*e^2 + a^2*b*f^2 - 2*a*b^2*e*f)))*(f*(c*f - d*e)^3)^(1/2))/(f*(a*f - b*e)^2))*(f*(c*f - d*e)^3)^(1/2))/(f*(a*f - b*e)^2)))*(f*(c*f - d*e)^3)^(1/2)*2i)/(f*(a*f - b*e)^2) - (d*(a*d - b*c)*(c + d*x)^(1/2))/(b*(a*f - b*e)*(a*d - b*c + b*(c + d*x)))","B"
1718,1,80,83,0.092118,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^(7/2),x)","\frac{2\,{\left(d+e\,x\right)}^{9/2}\,\left(99\,B\,b\,{\left(d+e\,x\right)}^2+143\,A\,a\,e^2+143\,B\,b\,d^2+117\,A\,b\,e\,\left(d+e\,x\right)+117\,B\,a\,e\,\left(d+e\,x\right)-234\,B\,b\,d\,\left(d+e\,x\right)-143\,A\,b\,d\,e-143\,B\,a\,d\,e\right)}{1287\,e^3}","Not used",1,"(2*(d + e*x)^(9/2)*(99*B*b*(d + e*x)^2 + 143*A*a*e^2 + 143*B*b*d^2 + 117*A*b*e*(d + e*x) + 117*B*a*e*(d + e*x) - 234*B*b*d*(d + e*x) - 143*A*b*d*e - 143*B*a*d*e))/(1287*e^3)","B"
1719,1,80,83,1.203460,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^(5/2),x)","\frac{2\,{\left(d+e\,x\right)}^{7/2}\,\left(63\,B\,b\,{\left(d+e\,x\right)}^2+99\,A\,a\,e^2+99\,B\,b\,d^2+77\,A\,b\,e\,\left(d+e\,x\right)+77\,B\,a\,e\,\left(d+e\,x\right)-154\,B\,b\,d\,\left(d+e\,x\right)-99\,A\,b\,d\,e-99\,B\,a\,d\,e\right)}{693\,e^3}","Not used",1,"(2*(d + e*x)^(7/2)*(63*B*b*(d + e*x)^2 + 99*A*a*e^2 + 99*B*b*d^2 + 77*A*b*e*(d + e*x) + 77*B*a*e*(d + e*x) - 154*B*b*d*(d + e*x) - 99*A*b*d*e - 99*B*a*d*e))/(693*e^3)","B"
1720,1,80,83,0.068090,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^(3/2),x)","\frac{2\,{\left(d+e\,x\right)}^{5/2}\,\left(35\,B\,b\,{\left(d+e\,x\right)}^2+63\,A\,a\,e^2+63\,B\,b\,d^2+45\,A\,b\,e\,\left(d+e\,x\right)+45\,B\,a\,e\,\left(d+e\,x\right)-90\,B\,b\,d\,\left(d+e\,x\right)-63\,A\,b\,d\,e-63\,B\,a\,d\,e\right)}{315\,e^3}","Not used",1,"(2*(d + e*x)^(5/2)*(35*B*b*(d + e*x)^2 + 63*A*a*e^2 + 63*B*b*d^2 + 45*A*b*e*(d + e*x) + 45*B*a*e*(d + e*x) - 90*B*b*d*(d + e*x) - 63*A*b*d*e - 63*B*a*d*e))/(315*e^3)","B"
1721,1,80,83,1.208018,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^(1/2),x)","\frac{2\,{\left(d+e\,x\right)}^{3/2}\,\left(15\,B\,b\,{\left(d+e\,x\right)}^2+35\,A\,a\,e^2+35\,B\,b\,d^2+21\,A\,b\,e\,\left(d+e\,x\right)+21\,B\,a\,e\,\left(d+e\,x\right)-42\,B\,b\,d\,\left(d+e\,x\right)-35\,A\,b\,d\,e-35\,B\,a\,d\,e\right)}{105\,e^3}","Not used",1,"(2*(d + e*x)^(3/2)*(15*B*b*(d + e*x)^2 + 35*A*a*e^2 + 35*B*b*d^2 + 21*A*b*e*(d + e*x) + 21*B*a*e*(d + e*x) - 42*B*b*d*(d + e*x) - 35*A*b*d*e - 35*B*a*d*e))/(105*e^3)","B"
1722,1,80,81,1.210005,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^(1/2),x)","\frac{2\,\sqrt{d+e\,x}\,\left(3\,B\,b\,{\left(d+e\,x\right)}^2+15\,A\,a\,e^2+15\,B\,b\,d^2+5\,A\,b\,e\,\left(d+e\,x\right)+5\,B\,a\,e\,\left(d+e\,x\right)-10\,B\,b\,d\,\left(d+e\,x\right)-15\,A\,b\,d\,e-15\,B\,a\,d\,e\right)}{15\,e^3}","Not used",1,"(2*(d + e*x)^(1/2)*(3*B*b*(d + e*x)^2 + 15*A*a*e^2 + 15*B*b*d^2 + 5*A*b*e*(d + e*x) + 5*B*a*e*(d + e*x) - 10*B*b*d*(d + e*x) - 15*A*b*d*e - 15*B*a*d*e))/(15*e^3)","B"
1723,1,79,79,0.062123,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^(3/2),x)","\frac{\frac{2\,B\,b\,{\left(d+e\,x\right)}^2}{3}-2\,A\,a\,e^2-2\,B\,b\,d^2+2\,A\,b\,e\,\left(d+e\,x\right)+2\,B\,a\,e\,\left(d+e\,x\right)-4\,B\,b\,d\,\left(d+e\,x\right)+2\,A\,b\,d\,e+2\,B\,a\,d\,e}{e^3\,\sqrt{d+e\,x}}","Not used",1,"((2*B*b*(d + e*x)^2)/3 - 2*A*a*e^2 - 2*B*b*d^2 + 2*A*b*e*(d + e*x) + 2*B*a*e*(d + e*x) - 4*B*b*d*(d + e*x) + 2*A*b*d*e + 2*B*a*d*e)/(e^3*(d + e*x)^(1/2))","B"
1724,1,72,79,0.065879,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^(5/2),x)","-\frac{2\,A\,a\,e^2-16\,B\,b\,d^2+6\,A\,b\,e^2\,x+6\,B\,a\,e^2\,x-6\,B\,b\,e^2\,x^2+4\,A\,b\,d\,e+4\,B\,a\,d\,e-24\,B\,b\,d\,e\,x}{3\,e^3\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"-(2*A*a*e^2 - 16*B*b*d^2 + 6*A*b*e^2*x + 6*B*a*e^2*x - 6*B*b*e^2*x^2 + 4*A*b*d*e + 4*B*a*d*e - 24*B*b*d*e*x)/(3*e^3*(d + e*x)^(3/2))","B"
1725,1,72,81,0.080398,"\text{Not used}","int(((A + B*x)*(a + b*x))/(d + e*x)^(7/2),x)","-\frac{\left(d+e\,x\right)\,\left(\frac{2\,A\,b\,e}{3}+\frac{2\,B\,a\,e}{3}-\frac{4\,B\,b\,d}{3}\right)+2\,B\,b\,{\left(d+e\,x\right)}^2+\frac{2\,A\,a\,e^2}{5}+\frac{2\,B\,b\,d^2}{5}-\frac{2\,A\,b\,d\,e}{5}-\frac{2\,B\,a\,d\,e}{5}}{e^3\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"-((d + e*x)*((2*A*b*e)/3 + (2*B*a*e)/3 - (4*B*b*d)/3) + 2*B*b*(d + e*x)^2 + (2*A*a*e^2)/5 + (2*B*b*d^2)/5 - (2*A*b*d*e)/5 - (2*B*a*d*e)/5)/(e^3*(d + e*x)^(5/2))","B"
1726,1,115,128,0.105845,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,b^2\,e-6\,B\,b^2\,d+4\,B\,a\,b\,e\right)}{13\,e^4}+\frac{2\,B\,b^2\,{\left(d+e\,x\right)}^{15/2}}{15\,e^4}+\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b\,e+B\,a\,e-3\,B\,b\,d\right)}{11\,e^4}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}","Not used",1,"((d + e*x)^(13/2)*(2*A*b^2*e - 6*B*b^2*d + 4*B*a*b*e))/(13*e^4) + (2*B*b^2*(d + e*x)^(15/2))/(15*e^4) + (2*(a*e - b*d)*(d + e*x)^(11/2)*(2*A*b*e + B*a*e - 3*B*b*d))/(11*e^4) + (2*(A*e - B*d)*(a*e - b*d)^2*(d + e*x)^(9/2))/(9*e^4)","B"
1727,1,115,128,1.210067,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b^2\,e-6\,B\,b^2\,d+4\,B\,a\,b\,e\right)}{11\,e^4}+\frac{2\,B\,b^2\,{\left(d+e\,x\right)}^{13/2}}{13\,e^4}+\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b\,e+B\,a\,e-3\,B\,b\,d\right)}{9\,e^4}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}","Not used",1,"((d + e*x)^(11/2)*(2*A*b^2*e - 6*B*b^2*d + 4*B*a*b*e))/(11*e^4) + (2*B*b^2*(d + e*x)^(13/2))/(13*e^4) + (2*(a*e - b*d)*(d + e*x)^(9/2)*(2*A*b*e + B*a*e - 3*B*b*d))/(9*e^4) + (2*(A*e - B*d)*(a*e - b*d)^2*(d + e*x)^(7/2))/(7*e^4)","B"
1728,1,115,128,0.068184,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b^2\,e-6\,B\,b^2\,d+4\,B\,a\,b\,e\right)}{9\,e^4}+\frac{2\,B\,b^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}+\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b\,e+B\,a\,e-3\,B\,b\,d\right)}{7\,e^4}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}","Not used",1,"((d + e*x)^(9/2)*(2*A*b^2*e - 6*B*b^2*d + 4*B*a*b*e))/(9*e^4) + (2*B*b^2*(d + e*x)^(11/2))/(11*e^4) + (2*(a*e - b*d)*(d + e*x)^(7/2)*(2*A*b*e + B*a*e - 3*B*b*d))/(7*e^4) + (2*(A*e - B*d)*(a*e - b*d)^2*(d + e*x)^(5/2))/(5*e^4)","B"
1729,1,115,128,0.069270,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b^2\,e-6\,B\,b^2\,d+4\,B\,a\,b\,e\right)}{7\,e^4}+\frac{2\,B\,b^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b\,e+B\,a\,e-3\,B\,b\,d\right)}{5\,e^4}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}","Not used",1,"((d + e*x)^(7/2)*(2*A*b^2*e - 6*B*b^2*d + 4*B*a*b*e))/(7*e^4) + (2*B*b^2*(d + e*x)^(9/2))/(9*e^4) + (2*(a*e - b*d)*(d + e*x)^(5/2)*(2*A*b*e + B*a*e - 3*B*b*d))/(5*e^4) + (2*(A*e - B*d)*(a*e - b*d)^2*(d + e*x)^(3/2))/(3*e^4)","B"
1730,1,115,126,0.069001,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b^2\,e-6\,B\,b^2\,d+4\,B\,a\,b\,e\right)}{5\,e^4}+\frac{2\,B\,b^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b\,e+B\,a\,e-3\,B\,b\,d\right)}{3\,e^4}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^2\,\sqrt{d+e\,x}}{e^4}","Not used",1,"((d + e*x)^(5/2)*(2*A*b^2*e - 6*B*b^2*d + 4*B*a*b*e))/(5*e^4) + (2*B*b^2*(d + e*x)^(7/2))/(7*e^4) + (2*(a*e - b*d)*(d + e*x)^(3/2)*(2*A*b*e + B*a*e - 3*B*b*d))/(3*e^4) + (2*(A*e - B*d)*(a*e - b*d)^2*(d + e*x)^(1/2))/e^4","B"
1731,1,154,124,0.079088,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b^2\,e-6\,B\,b^2\,d+4\,B\,a\,b\,e\right)}{3\,e^4}-\frac{-2\,B\,a^2\,d\,e^2+2\,A\,a^2\,e^3+4\,B\,a\,b\,d^2\,e-4\,A\,a\,b\,d\,e^2-2\,B\,b^2\,d^3+2\,A\,b^2\,d^2\,e}{e^4\,\sqrt{d+e\,x}}+\frac{2\,B\,b^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{2\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}\,\left(2\,A\,b\,e+B\,a\,e-3\,B\,b\,d\right)}{e^4}","Not used",1,"((d + e*x)^(3/2)*(2*A*b^2*e - 6*B*b^2*d + 4*B*a*b*e))/(3*e^4) - (2*A*a^2*e^3 - 2*B*b^2*d^3 + 2*A*b^2*d^2*e - 2*B*a^2*d*e^2 - 4*A*a*b*d*e^2 + 4*B*a*b*d^2*e)/(e^4*(d + e*x)^(1/2)) + (2*B*b^2*(d + e*x)^(5/2))/(5*e^4) + (2*(a*e - b*d)*(d + e*x)^(1/2)*(2*A*b*e + B*a*e - 3*B*b*d))/e^4","B"
1732,1,189,124,1.258136,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^(5/2),x)","\frac{2\,B\,b^2\,d^3-2\,A\,a^2\,e^3+2\,B\,b^2\,{\left(d+e\,x\right)}^3+6\,A\,b^2\,e\,{\left(d+e\,x\right)}^2-6\,B\,a^2\,e^2\,\left(d+e\,x\right)-18\,B\,b^2\,d\,{\left(d+e\,x\right)}^2-18\,B\,b^2\,d^2\,\left(d+e\,x\right)-2\,A\,b^2\,d^2\,e+2\,B\,a^2\,d\,e^2-12\,A\,a\,b\,e^2\,\left(d+e\,x\right)+12\,B\,a\,b\,e\,{\left(d+e\,x\right)}^2+12\,A\,b^2\,d\,e\,\left(d+e\,x\right)+4\,A\,a\,b\,d\,e^2-4\,B\,a\,b\,d^2\,e+24\,B\,a\,b\,d\,e\,\left(d+e\,x\right)}{3\,e^4\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(2*B*b^2*d^3 - 2*A*a^2*e^3 + 2*B*b^2*(d + e*x)^3 + 6*A*b^2*e*(d + e*x)^2 - 6*B*a^2*e^2*(d + e*x) - 18*B*b^2*d*(d + e*x)^2 - 18*B*b^2*d^2*(d + e*x) - 2*A*b^2*d^2*e + 2*B*a^2*d*e^2 - 12*A*a*b*e^2*(d + e*x) + 12*B*a*b*e*(d + e*x)^2 + 12*A*b^2*d*e*(d + e*x) + 4*A*a*b*d*e^2 - 4*B*a*b*d^2*e + 24*B*a*b*d*e*(d + e*x))/(3*e^4*(d + e*x)^(3/2))","B"
1733,1,168,124,0.097560,"\text{Not used}","int(((A + B*x)*(a + b*x)^2)/(d + e*x)^(7/2),x)","-\frac{2\,\left(2\,B\,a^2\,d\,e^2+5\,B\,a^2\,e^3\,x+3\,A\,a^2\,e^3+16\,B\,a\,b\,d^2\,e+40\,B\,a\,b\,d\,e^2\,x+4\,A\,a\,b\,d\,e^2+30\,B\,a\,b\,e^3\,x^2+10\,A\,a\,b\,e^3\,x-48\,B\,b^2\,d^3-120\,B\,b^2\,d^2\,e\,x+8\,A\,b^2\,d^2\,e-90\,B\,b^2\,d\,e^2\,x^2+20\,A\,b^2\,d\,e^2\,x-15\,B\,b^2\,e^3\,x^3+15\,A\,b^2\,e^3\,x^2\right)}{15\,e^4\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"-(2*(3*A*a^2*e^3 - 48*B*b^2*d^3 + 8*A*b^2*d^2*e + 2*B*a^2*d*e^2 + 5*B*a^2*e^3*x + 15*A*b^2*e^3*x^2 - 15*B*b^2*e^3*x^3 + 30*B*a*b*e^3*x^2 + 20*A*b^2*d*e^2*x - 120*B*b^2*d^2*e*x - 90*B*b^2*d*e^2*x^2 + 4*A*a*b*d*e^2 + 16*B*a*b*d^2*e + 10*A*a*b*e^3*x + 40*B*a*b*d*e^2*x))/(15*e^4*(d + e*x)^(5/2))","B"
1734,1,154,173,1.257065,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{15/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{15\,e^5}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{11/2}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{11\,e^5}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{17/2}}{17\,e^5}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^5}+\frac{6\,b\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{13/2}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{13\,e^5}","Not used",1,"((d + e*x)^(15/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(15*e^5) + (2*(a*e - b*d)^2*(d + e*x)^(11/2)*(3*A*b*e + B*a*e - 4*B*b*d))/(11*e^5) + (2*B*b^3*(d + e*x)^(17/2))/(17*e^5) + (2*(A*e - B*d)*(a*e - b*d)^3*(d + e*x)^(9/2))/(9*e^5) + (6*b*(a*e - b*d)*(d + e*x)^(13/2)*(A*b*e + B*a*e - 2*B*b*d))/(13*e^5)","B"
1735,1,154,173,1.229516,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{13\,e^5}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{9\,e^5}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{15/2}}{15\,e^5}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^5}+\frac{6\,b\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{11\,e^5}","Not used",1,"((d + e*x)^(13/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(13*e^5) + (2*(a*e - b*d)^2*(d + e*x)^(9/2)*(3*A*b*e + B*a*e - 4*B*b*d))/(9*e^5) + (2*B*b^3*(d + e*x)^(15/2))/(15*e^5) + (2*(A*e - B*d)*(a*e - b*d)^3*(d + e*x)^(7/2))/(7*e^5) + (6*b*(a*e - b*d)*(d + e*x)^(11/2)*(A*b*e + B*a*e - 2*B*b*d))/(11*e^5)","B"
1736,1,154,173,0.049050,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{11\,e^5}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{7\,e^5}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{13/2}}{13\,e^5}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{5/2}}{5\,e^5}+\frac{2\,b\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{3\,e^5}","Not used",1,"((d + e*x)^(11/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(11*e^5) + (2*(a*e - b*d)^2*(d + e*x)^(7/2)*(3*A*b*e + B*a*e - 4*B*b*d))/(7*e^5) + (2*B*b^3*(d + e*x)^(13/2))/(13*e^5) + (2*(A*e - B*d)*(a*e - b*d)^3*(d + e*x)^(5/2))/(5*e^5) + (2*b*(a*e - b*d)*(d + e*x)^(9/2)*(A*b*e + B*a*e - 2*B*b*d))/(3*e^5)","B"
1737,1,154,173,1.238839,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{9\,e^5}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{5\,e^5}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{11/2}}{11\,e^5}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{3/2}}{3\,e^5}+\frac{6\,b\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{7\,e^5}","Not used",1,"((d + e*x)^(9/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(9*e^5) + (2*(a*e - b*d)^2*(d + e*x)^(5/2)*(3*A*b*e + B*a*e - 4*B*b*d))/(5*e^5) + (2*B*b^3*(d + e*x)^(11/2))/(11*e^5) + (2*(A*e - B*d)*(a*e - b*d)^3*(d + e*x)^(3/2))/(3*e^5) + (6*b*(a*e - b*d)*(d + e*x)^(7/2)*(A*b*e + B*a*e - 2*B*b*d))/(7*e^5)","B"
1738,1,154,171,1.228180,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{7\,e^5}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{3\,e^5}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^5}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^3\,\sqrt{d+e\,x}}{e^5}+\frac{6\,b\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{5\,e^5}","Not used",1,"((d + e*x)^(7/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(7*e^5) + (2*(a*e - b*d)^2*(d + e*x)^(3/2)*(3*A*b*e + B*a*e - 4*B*b*d))/(3*e^5) + (2*B*b^3*(d + e*x)^(9/2))/(9*e^5) + (2*(A*e - B*d)*(a*e - b*d)^3*(d + e*x)^(1/2))/e^5 + (6*b*(a*e - b*d)*(d + e*x)^(5/2)*(A*b*e + B*a*e - 2*B*b*d))/(5*e^5)","B"
1739,1,223,167,0.060093,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{5\,e^5}-\frac{-2\,B\,a^3\,d\,e^3+2\,A\,a^3\,e^4+6\,B\,a^2\,b\,d^2\,e^2-6\,A\,a^2\,b\,d\,e^3-6\,B\,a\,b^2\,d^3\,e+6\,A\,a\,b^2\,d^2\,e^2+2\,B\,b^3\,d^4-2\,A\,b^3\,d^3\,e}{e^5\,\sqrt{d+e\,x}}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{e^5}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^5}+\frac{2\,b\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{e^5}","Not used",1,"((d + e*x)^(5/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(5*e^5) - (2*A*a^3*e^4 + 2*B*b^3*d^4 - 2*A*b^3*d^3*e - 2*B*a^3*d*e^3 + 6*A*a*b^2*d^2*e^2 + 6*B*a^2*b*d^2*e^2 - 6*A*a^2*b*d*e^3 - 6*B*a*b^2*d^3*e)/(e^5*(d + e*x)^(1/2)) + (2*(a*e - b*d)^2*(d + e*x)^(1/2)*(3*A*b*e + B*a*e - 4*B*b*d))/e^5 + (2*B*b^3*(d + e*x)^(7/2))/(7*e^5) + (2*b*(a*e - b*d)*(d + e*x)^(3/2)*(A*b*e + B*a*e - 2*B*b*d))/e^5","B"
1740,1,264,169,1.271490,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b^3\,e-8\,B\,b^3\,d+6\,B\,a\,b^2\,e\right)}{3\,e^5}-\frac{\left(d+e\,x\right)\,\left(2\,B\,a^3\,e^3-12\,B\,a^2\,b\,d\,e^2+6\,A\,a^2\,b\,e^3+18\,B\,a\,b^2\,d^2\,e-12\,A\,a\,b^2\,d\,e^2-8\,B\,b^3\,d^3+6\,A\,b^3\,d^2\,e\right)+\frac{2\,A\,a^3\,e^4}{3}+\frac{2\,B\,b^3\,d^4}{3}-\frac{2\,A\,b^3\,d^3\,e}{3}-\frac{2\,B\,a^3\,d\,e^3}{3}+2\,A\,a\,b^2\,d^2\,e^2+2\,B\,a^2\,b\,d^2\,e^2-2\,A\,a^2\,b\,d\,e^3-2\,B\,a\,b^2\,d^3\,e}{e^5\,{\left(d+e\,x\right)}^{3/2}}+\frac{2\,B\,b^3\,{\left(d+e\,x\right)}^{5/2}}{5\,e^5}+\frac{6\,b\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{e^5}","Not used",1,"((d + e*x)^(3/2)*(2*A*b^3*e - 8*B*b^3*d + 6*B*a*b^2*e))/(3*e^5) - ((d + e*x)*(2*B*a^3*e^3 - 8*B*b^3*d^3 + 6*A*a^2*b*e^3 + 6*A*b^3*d^2*e - 12*A*a*b^2*d*e^2 + 18*B*a*b^2*d^2*e - 12*B*a^2*b*d*e^2) + (2*A*a^3*e^4)/3 + (2*B*b^3*d^4)/3 - (2*A*b^3*d^3*e)/3 - (2*B*a^3*d*e^3)/3 + 2*A*a*b^2*d^2*e^2 + 2*B*a^2*b*d^2*e^2 - 2*A*a^2*b*d*e^3 - 2*B*a*b^2*d^3*e)/(e^5*(d + e*x)^(3/2)) + (2*B*b^3*(d + e*x)^(5/2))/(5*e^5) + (6*b*(a*e - b*d)*(d + e*x)^(1/2)*(A*b*e + B*a*e - 2*B*b*d))/e^5","B"
1741,1,300,169,0.132287,"\text{Not used}","int(((A + B*x)*(a + b*x)^3)/(d + e*x)^(7/2),x)","-\frac{2\,\left(2\,B\,a^3\,d\,e^3+5\,B\,a^3\,e^4\,x+3\,A\,a^3\,e^4+24\,B\,a^2\,b\,d^2\,e^2+60\,B\,a^2\,b\,d\,e^3\,x+6\,A\,a^2\,b\,d\,e^3+45\,B\,a^2\,b\,e^4\,x^2+15\,A\,a^2\,b\,e^4\,x-144\,B\,a\,b^2\,d^3\,e-360\,B\,a\,b^2\,d^2\,e^2\,x+24\,A\,a\,b^2\,d^2\,e^2-270\,B\,a\,b^2\,d\,e^3\,x^2+60\,A\,a\,b^2\,d\,e^3\,x-45\,B\,a\,b^2\,e^4\,x^3+45\,A\,a\,b^2\,e^4\,x^2+128\,B\,b^3\,d^4+320\,B\,b^3\,d^3\,e\,x-48\,A\,b^3\,d^3\,e+240\,B\,b^3\,d^2\,e^2\,x^2-120\,A\,b^3\,d^2\,e^2\,x+40\,B\,b^3\,d\,e^3\,x^3-90\,A\,b^3\,d\,e^3\,x^2-5\,B\,b^3\,e^4\,x^4-15\,A\,b^3\,e^4\,x^3\right)}{15\,e^5\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"-(2*(3*A*a^3*e^4 + 128*B*b^3*d^4 - 48*A*b^3*d^3*e + 2*B*a^3*d*e^3 + 5*B*a^3*e^4*x - 15*A*b^3*e^4*x^3 - 5*B*b^3*e^4*x^4 + 320*B*b^3*d^3*e*x + 24*A*a*b^2*d^2*e^2 + 24*B*a^2*b*d^2*e^2 + 45*A*a*b^2*e^4*x^2 + 45*B*a^2*b*e^4*x^2 - 45*B*a*b^2*e^4*x^3 - 120*A*b^3*d^2*e^2*x - 90*A*b^3*d*e^3*x^2 + 40*B*b^3*d*e^3*x^3 + 240*B*b^3*d^2*e^2*x^2 + 6*A*a^2*b*d*e^3 - 144*B*a*b^2*d^3*e + 15*A*a^2*b*e^4*x + 60*A*a*b^2*d*e^3*x + 60*B*a^2*b*d*e^3*x - 360*B*a*b^2*d^2*e^2*x - 270*B*a*b^2*d*e^3*x^2))/(15*e^5*(d + e*x)^(5/2))","B"
1742,1,426,198,0.119191,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a + b*x),x)","\left(\frac{2\,A\,e-2\,B\,d}{7\,b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{7\,b^2\,e^2}\right)\,{\left(d+e\,x\right)}^{7/2}+\frac{2\,B\,{\left(d+e\,x\right)}^{9/2}}{9\,b\,e}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\left(A\,b-B\,a\right)\,{\left(a\,e-b\,d\right)}^{7/2}\,\sqrt{d+e\,x}}{-B\,a^5\,e^4+4\,B\,a^4\,b\,d\,e^3+A\,a^4\,b\,e^4-6\,B\,a^3\,b^2\,d^2\,e^2-4\,A\,a^3\,b^2\,d\,e^3+4\,B\,a^2\,b^3\,d^3\,e+6\,A\,a^2\,b^3\,d^2\,e^2-B\,a\,b^4\,d^4-4\,A\,a\,b^4\,d^3\,e+A\,b^5\,d^4}\right)\,\left(A\,b-B\,a\right)\,{\left(a\,e-b\,d\right)}^{7/2}}{b^{11/2}}+\frac{\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,{\left(a\,e^2-b\,d\,e\right)}^2\,{\left(d+e\,x\right)}^{3/2}}{3\,b^2\,e^2}-\frac{\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,{\left(a\,e^2-b\,d\,e\right)}^3\,\sqrt{d+e\,x}}{b^3\,e^3}-\frac{\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,\left(a\,e^2-b\,d\,e\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,b\,e}","Not used",1,"((2*A*e - 2*B*d)/(7*b*e) - (2*B*(a*e^2 - b*d*e))/(7*b^2*e^2))*(d + e*x)^(7/2) + (2*B*(d + e*x)^(9/2))/(9*b*e) + (2*atan((b^(1/2)*(A*b - B*a)*(a*e - b*d)^(7/2)*(d + e*x)^(1/2))/(A*b^5*d^4 - B*a^5*e^4 + A*a^4*b*e^4 - B*a*b^4*d^4 - 4*A*a^3*b^2*d*e^3 + 4*B*a^2*b^3*d^3*e + 6*A*a^2*b^3*d^2*e^2 - 6*B*a^3*b^2*d^2*e^2 - 4*A*a*b^4*d^3*e + 4*B*a^4*b*d*e^3))*(A*b - B*a)*(a*e - b*d)^(7/2))/b^(11/2) + (((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(a*e^2 - b*d*e)^2*(d + e*x)^(3/2))/(3*b^2*e^2) - (((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(a*e^2 - b*d*e)^3*(d + e*x)^(1/2))/(b^3*e^3) - (((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(a*e^2 - b*d*e)*(d + e*x)^(5/2))/(5*b*e)","B"
1743,1,330,164,1.259160,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x),x)","\left(\frac{2\,A\,e-2\,B\,d}{5\,b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{5\,b^2\,e^2}\right)\,{\left(d+e\,x\right)}^{5/2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\left(A\,b-B\,a\right)\,{\left(a\,e-b\,d\right)}^{5/2}\,\sqrt{d+e\,x}}{B\,a^4\,e^3-3\,B\,a^3\,b\,d\,e^2-A\,a^3\,b\,e^3+3\,B\,a^2\,b^2\,d^2\,e+3\,A\,a^2\,b^2\,d\,e^2-B\,a\,b^3\,d^3-3\,A\,a\,b^3\,d^2\,e+A\,b^4\,d^3}\right)\,\left(A\,b-B\,a\right)\,{\left(a\,e-b\,d\right)}^{5/2}}{b^{9/2}}+\frac{2\,B\,{\left(d+e\,x\right)}^{7/2}}{7\,b\,e}+\frac{\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,{\left(a\,e^2-b\,d\,e\right)}^2\,\sqrt{d+e\,x}}{b^2\,e^2}-\frac{\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,\left(a\,e^2-b\,d\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,b\,e}","Not used",1,"((2*A*e - 2*B*d)/(5*b*e) - (2*B*(a*e^2 - b*d*e))/(5*b^2*e^2))*(d + e*x)^(5/2) + (2*atan((b^(1/2)*(A*b - B*a)*(a*e - b*d)^(5/2)*(d + e*x)^(1/2))/(A*b^4*d^3 + B*a^4*e^3 - A*a^3*b*e^3 - B*a*b^3*d^3 + 3*A*a^2*b^2*d*e^2 + 3*B*a^2*b^2*d^2*e - 3*A*a*b^3*d^2*e - 3*B*a^3*b*d*e^2))*(A*b - B*a)*(a*e - b*d)^(5/2))/b^(9/2) + (2*B*(d + e*x)^(7/2))/(7*b*e) + (((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(a*e^2 - b*d*e)^2*(d + e*x)^(1/2))/(b^2*e^2) - (((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(a*e^2 - b*d*e)*(d + e*x)^(3/2))/(3*b*e)","B"
1744,1,236,130,0.113042,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x),x)","\left(\frac{2\,A\,e-2\,B\,d}{3\,b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{3\,b^2\,e^2}\right)\,{\left(d+e\,x\right)}^{3/2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\left(A\,b-B\,a\right)\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}}{-B\,a^3\,e^2+2\,B\,a^2\,b\,d\,e+A\,a^2\,b\,e^2-B\,a\,b^2\,d^2-2\,A\,a\,b^2\,d\,e+A\,b^3\,d^2}\right)\,\left(A\,b-B\,a\right)\,{\left(a\,e-b\,d\right)}^{3/2}}{b^{7/2}}+\frac{2\,B\,{\left(d+e\,x\right)}^{5/2}}{5\,b\,e}-\frac{\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,\left(a\,e^2-b\,d\,e\right)\,\sqrt{d+e\,x}}{b\,e}","Not used",1,"((2*A*e - 2*B*d)/(3*b*e) - (2*B*(a*e^2 - b*d*e))/(3*b^2*e^2))*(d + e*x)^(3/2) + (2*atan((b^(1/2)*(A*b - B*a)*(a*e - b*d)^(3/2)*(d + e*x)^(1/2))/(A*b^3*d^2 - B*a^3*e^2 + A*a^2*b*e^2 - B*a*b^2*d^2 - 2*A*a*b^2*d*e + 2*B*a^2*b*d*e))*(A*b - B*a)*(a*e - b*d)^(3/2))/b^(7/2) + (2*B*(d + e*x)^(5/2))/(5*b*e) - (((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(a*e^2 - b*d*e)*(d + e*x)^(1/2))/(b*e)","B"
1745,1,107,98,1.300384,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x),x)","\left(\frac{2\,A\,e-2\,B\,d}{b\,e}-\frac{2\,B\,\left(a\,e^2-b\,d\,e\right)}{b^2\,e^2}\right)\,\sqrt{d+e\,x}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{b\,d-a\,e}}\right)\,\left(A\,b-B\,a\right)\,\sqrt{b\,d-a\,e}}{b^{5/2}}+\frac{2\,B\,{\left(d+e\,x\right)}^{3/2}}{3\,b\,e}","Not used",1,"((2*A*e - 2*B*d)/(b*e) - (2*B*(a*e^2 - b*d*e))/(b^2*e^2))*(d + e*x)^(1/2) - (2*atanh((b^(1/2)*(d + e*x)^(1/2))/(b*d - a*e)^(1/2))*(A*b - B*a)*(b*d - a*e)^(1/2))/b^(5/2) + (2*B*(d + e*x)^(3/2))/(3*b*e)","B"
1746,1,62,74,0.082527,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)\,\left(A\,b-B\,a\right)}{b^{3/2}\,\sqrt{a\,e-b\,d}}+\frac{2\,B\,\sqrt{d+e\,x}}{b\,e}","Not used",1,"(2*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2))*(A*b - B*a))/(b^(3/2)*(a*e - b*d)^(1/2)) + (2*B*(d + e*x)^(1/2))/(b*e)","B"
1747,1,96,88,0.114687,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^(3/2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{b}\,\left(A\,b-B\,a\right)\,\sqrt{d+e\,x}}{\left(2\,A\,b-2\,B\,a\right)\,\sqrt{a\,e-b\,d}}\right)\,\left(A\,b-B\,a\right)}{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{3/2}}-\frac{2\,\left(A\,e-B\,d\right)}{e\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}}","Not used",1,"- (2*atan((2*b^(1/2)*(A*b - B*a)*(d + e*x)^(1/2))/((2*A*b - 2*B*a)*(a*e - b*d)^(1/2)))*(A*b - B*a))/(b^(1/2)*(a*e - b*d)^(3/2)) - (2*(A*e - B*d))/(e*(a*e - b*d)*(d + e*x)^(1/2))","B"
1748,1,128,119,1.314450,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^(5/2)),x)","\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{{\left(a\,e-b\,d\right)}^{5/2}}\right)\,\left(A\,b-B\,a\right)}{{\left(a\,e-b\,d\right)}^{5/2}}-\frac{\frac{2\,\left(A\,e-B\,d\right)}{3\,\left(a\,e-b\,d\right)}-\frac{2\,\left(A\,b\,e-B\,a\,e\right)\,\left(d+e\,x\right)}{{\left(a\,e-b\,d\right)}^2}}{e\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(2*b^(1/2)*atan((b^(1/2)*(d + e*x)^(1/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(a*e - b*d)^(5/2))*(A*b - B*a))/(a*e - b*d)^(5/2) - ((2*(A*e - B*d))/(3*(a*e - b*d)) - (2*(A*b*e - B*a*e)*(d + e*x))/(a*e - b*d)^2)/(e*(d + e*x)^(3/2))","B"
1749,1,173,151,0.203152,"\text{Not used}","int((A + B*x)/((a + b*x)*(d + e*x)^(7/2)),x)","-\frac{\frac{2\,\left(A\,e-B\,d\right)}{5\,\left(a\,e-b\,d\right)}-\frac{2\,\left(A\,b\,e-B\,a\,e\right)\,\left(d+e\,x\right)}{3\,{\left(a\,e-b\,d\right)}^2}+\frac{2\,b\,\left(A\,b\,e-B\,a\,e\right)\,{\left(d+e\,x\right)}^2}{{\left(a\,e-b\,d\right)}^3}}{e\,{\left(d+e\,x\right)}^{5/2}}-\frac{2\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}{{\left(a\,e-b\,d\right)}^{7/2}}\right)\,\left(A\,b-B\,a\right)}{{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"- ((2*(A*e - B*d))/(5*(a*e - b*d)) - (2*(A*b*e - B*a*e)*(d + e*x))/(3*(a*e - b*d)^2) + (2*b*(A*b*e - B*a*e)*(d + e*x)^2)/(a*e - b*d)^3)/(e*(d + e*x)^(5/2)) - (2*b^(3/2)*atan((b^(1/2)*(d + e*x)^(1/2)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(a*e - b*d)^(7/2))*(A*b - B*a))/(a*e - b*d)^(7/2)","B"
1750,1,562,256,0.161886,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^2,x)","\left(\frac{2\,A\,e-2\,B\,d}{5\,b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{5\,b^4}\right)\,{\left(d+e\,x\right)}^{5/2}+\left(\frac{\left(\frac{\left(2\,b^2\,d-2\,a\,b\,e\right)\,\left(\frac{2\,A\,e-2\,B\,d}{b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{b^4}\right)}{b^2}-\frac{2\,B\,{\left(a\,e-b\,d\right)}^2}{b^4}\right)\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{b^2}-\frac{{\left(a\,e-b\,d\right)}^2\,\left(\frac{2\,A\,e-2\,B\,d}{b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{b^4}\right)}{b^2}\right)\,\sqrt{d+e\,x}+\left(\frac{\left(2\,b^2\,d-2\,a\,b\,e\right)\,\left(\frac{2\,A\,e-2\,B\,d}{b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{b^4}\right)}{3\,b^2}-\frac{2\,B\,{\left(a\,e-b\,d\right)}^2}{3\,b^4}\right)\,{\left(d+e\,x\right)}^{3/2}-\frac{\sqrt{d+e\,x}\,\left(B\,a^4\,e^4-3\,B\,a^3\,b\,d\,e^3-A\,a^3\,b\,e^4+3\,B\,a^2\,b^2\,d^2\,e^2+3\,A\,a^2\,b^2\,d\,e^3-B\,a\,b^3\,d^3\,e-3\,A\,a\,b^3\,d^2\,e^2+A\,b^4\,d^3\,e\right)}{b^6\,\left(d+e\,x\right)-b^6\,d+a\,b^5\,e}+\frac{2\,B\,{\left(d+e\,x\right)}^{7/2}}{7\,b^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{5/2}\,\sqrt{d+e\,x}\,\left(7\,A\,b\,e-9\,B\,a\,e+2\,B\,b\,d\right)}{9\,B\,a^4\,e^4-29\,B\,a^3\,b\,d\,e^3-7\,A\,a^3\,b\,e^4+33\,B\,a^2\,b^2\,d^2\,e^2+21\,A\,a^2\,b^2\,d\,e^3-15\,B\,a\,b^3\,d^3\,e-21\,A\,a\,b^3\,d^2\,e^2+2\,B\,b^4\,d^4+7\,A\,b^4\,d^3\,e}\right)\,{\left(a\,e-b\,d\right)}^{5/2}\,\left(7\,A\,b\,e-9\,B\,a\,e+2\,B\,b\,d\right)}{b^{11/2}}","Not used",1,"((2*A*e - 2*B*d)/(5*b^2) + (2*B*(2*b^2*d - 2*a*b*e))/(5*b^4))*(d + e*x)^(5/2) + (((((2*b^2*d - 2*a*b*e)*((2*A*e - 2*B*d)/b^2 + (2*B*(2*b^2*d - 2*a*b*e))/b^4))/b^2 - (2*B*(a*e - b*d)^2)/b^4)*(2*b^2*d - 2*a*b*e))/b^2 - ((a*e - b*d)^2*((2*A*e - 2*B*d)/b^2 + (2*B*(2*b^2*d - 2*a*b*e))/b^4))/b^2)*(d + e*x)^(1/2) + (((2*b^2*d - 2*a*b*e)*((2*A*e - 2*B*d)/b^2 + (2*B*(2*b^2*d - 2*a*b*e))/b^4))/(3*b^2) - (2*B*(a*e - b*d)^2)/(3*b^4))*(d + e*x)^(3/2) - ((d + e*x)^(1/2)*(B*a^4*e^4 - A*a^3*b*e^4 + A*b^4*d^3*e - 3*A*a*b^3*d^2*e^2 + 3*A*a^2*b^2*d*e^3 + 3*B*a^2*b^2*d^2*e^2 - B*a*b^3*d^3*e - 3*B*a^3*b*d*e^3))/(b^6*(d + e*x) - b^6*d + a*b^5*e) + (2*B*(d + e*x)^(7/2))/(7*b^2) + (atan((b^(1/2)*(a*e - b*d)^(5/2)*(d + e*x)^(1/2)*(7*A*b*e - 9*B*a*e + 2*B*b*d))/(9*B*a^4*e^4 + 2*B*b^4*d^4 - 7*A*a^3*b*e^4 + 7*A*b^4*d^3*e - 21*A*a*b^3*d^2*e^2 + 21*A*a^2*b^2*d*e^3 + 33*B*a^2*b^2*d^2*e^2 - 15*B*a*b^3*d^3*e - 29*B*a^3*b*d*e^3))*(a*e - b*d)^(5/2)*(7*A*b*e - 9*B*a*e + 2*B*b*d))/b^(11/2)","B"
1751,1,363,214,0.134472,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^2,x)","\left(\frac{2\,A\,e-2\,B\,d}{3\,b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{3\,b^4}\right)\,{\left(d+e\,x\right)}^{3/2}+\left(\frac{\left(2\,b^2\,d-2\,a\,b\,e\right)\,\left(\frac{2\,A\,e-2\,B\,d}{b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{b^4}\right)}{b^2}-\frac{2\,B\,{\left(a\,e-b\,d\right)}^2}{b^4}\right)\,\sqrt{d+e\,x}+\frac{\sqrt{d+e\,x}\,\left(B\,a^3\,e^3-2\,B\,a^2\,b\,d\,e^2-A\,a^2\,b\,e^3+B\,a\,b^2\,d^2\,e+2\,A\,a\,b^2\,d\,e^2-A\,b^3\,d^2\,e\right)}{b^5\,\left(d+e\,x\right)-b^5\,d+a\,b^4\,e}+\frac{2\,B\,{\left(d+e\,x\right)}^{5/2}}{5\,b^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-7\,B\,a\,e+2\,B\,b\,d\right)}{-7\,B\,a^3\,e^3+16\,B\,a^2\,b\,d\,e^2+5\,A\,a^2\,b\,e^3-11\,B\,a\,b^2\,d^2\,e-10\,A\,a\,b^2\,d\,e^2+2\,B\,b^3\,d^3+5\,A\,b^3\,d^2\,e}\right)\,{\left(a\,e-b\,d\right)}^{3/2}\,\left(5\,A\,b\,e-7\,B\,a\,e+2\,B\,b\,d\right)}{b^{9/2}}","Not used",1,"((2*A*e - 2*B*d)/(3*b^2) + (2*B*(2*b^2*d - 2*a*b*e))/(3*b^4))*(d + e*x)^(3/2) + (((2*b^2*d - 2*a*b*e)*((2*A*e - 2*B*d)/b^2 + (2*B*(2*b^2*d - 2*a*b*e))/b^4))/b^2 - (2*B*(a*e - b*d)^2)/b^4)*(d + e*x)^(1/2) + ((d + e*x)^(1/2)*(B*a^3*e^3 - A*a^2*b*e^3 - A*b^3*d^2*e + 2*A*a*b^2*d*e^2 + B*a*b^2*d^2*e - 2*B*a^2*b*d*e^2))/(b^5*(d + e*x) - b^5*d + a*b^4*e) + (2*B*(d + e*x)^(5/2))/(5*b^2) + (atan((b^(1/2)*(a*e - b*d)^(3/2)*(d + e*x)^(1/2)*(5*A*b*e - 7*B*a*e + 2*B*b*d))/(2*B*b^3*d^3 - 7*B*a^3*e^3 + 5*A*a^2*b*e^3 + 5*A*b^3*d^2*e - 10*A*a*b^2*d*e^2 - 11*B*a*b^2*d^2*e + 16*B*a^2*b*d*e^2))*(a*e - b*d)^(3/2)*(5*A*b*e - 7*B*a*e + 2*B*b*d))/b^(9/2)","B"
1752,1,174,174,1.318439,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^2,x)","\left(\frac{2\,A\,e-2\,B\,d}{b^2}+\frac{2\,B\,\left(2\,b^2\,d-2\,a\,b\,e\right)}{b^4}\right)\,\sqrt{d+e\,x}-\frac{\sqrt{d+e\,x}\,\left(B\,a^2\,e^2-A\,a\,b\,e^2-B\,d\,a\,b\,e+A\,d\,b^2\,e\right)}{b^4\,\left(d+e\,x\right)-b^4\,d+a\,b^3\,e}+\frac{2\,B\,{\left(d+e\,x\right)}^{3/2}}{3\,b^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,1{}\mathrm{i}}{\sqrt{b\,d-a\,e}}\right)\,\sqrt{b\,d-a\,e}\,\left(3\,A\,b\,e-5\,B\,a\,e+2\,B\,b\,d\right)\,1{}\mathrm{i}}{b^{7/2}}","Not used",1,"((2*A*e - 2*B*d)/b^2 + (2*B*(2*b^2*d - 2*a*b*e))/b^4)*(d + e*x)^(1/2) - ((d + e*x)^(1/2)*(B*a^2*e^2 - A*a*b*e^2 + A*b^2*d*e - B*a*b*d*e))/(b^4*(d + e*x) - b^4*d + a*b^3*e) + (2*B*(d + e*x)^(3/2))/(3*b^2) + (atan((b^(1/2)*(d + e*x)^(1/2)*1i)/(b*d - a*e)^(1/2))*(b*d - a*e)^(1/2)*(3*A*b*e - 5*B*a*e + 2*B*b*d)*1i)/b^(7/2)","B"
1753,1,108,140,0.140284,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^2,x)","\frac{2\,B\,\sqrt{d+e\,x}}{b^2}-\frac{\left(A\,b\,e-B\,a\,e\right)\,\sqrt{d+e\,x}}{b^3\,\left(d+e\,x\right)-b^3\,d+a\,b^2\,e}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)\,\left(A\,b\,e-3\,B\,a\,e+2\,B\,b\,d\right)}{b^{5/2}\,\sqrt{a\,e-b\,d}}","Not used",1,"(2*B*(d + e*x)^(1/2))/b^2 - ((A*b*e - B*a*e)*(d + e*x)^(1/2))/(b^3*(d + e*x) - b^3*d + a*b^2*e) + (atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2))*(A*b*e - 3*B*a*e + 2*B*b*d))/(b^(5/2)*(a*e - b*d)^(1/2))","B"
1754,1,99,103,1.288032,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{b^{3/2}\,{\left(a\,e-b\,d\right)}^{3/2}}+\frac{\left(A\,b\,e-B\,a\,e\right)\,\sqrt{d+e\,x}}{b\,\left(a\,e-b\,d\right)\,\left(a\,e-b\,d+b\,\left(d+e\,x\right)\right)}","Not used",1,"(atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2))*(A*b*e + B*a*e - 2*B*b*d))/(b^(3/2)*(a*e - b*d)^(3/2)) + ((A*b*e - B*a*e)*(d + e*x)^(1/2))/(b*(a*e - b*d)*(a*e - b*d + b*(d + e*x)))","B"
1755,1,156,140,0.199070,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^(3/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{{\left(a\,e-b\,d\right)}^{5/2}}\right)\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)}{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{5/2}}-\frac{\frac{2\,\left(A\,e-B\,d\right)}{a\,e-b\,d}-\frac{\left(d+e\,x\right)\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)}{{\left(a\,e-b\,d\right)}^2}}{b\,{\left(d+e\,x\right)}^{3/2}+\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}}","Not used",1,"(atan((b^(1/2)*(d + e*x)^(1/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(a*e - b*d)^(5/2))*(B*a*e - 3*A*b*e + 2*B*b*d))/(b^(1/2)*(a*e - b*d)^(5/2)) - ((2*(A*e - B*d))/(a*e - b*d) - ((d + e*x)*(B*a*e - 3*A*b*e + 2*B*b*d))/(a*e - b*d)^2)/(b*(d + e*x)^(3/2) + (a*e - b*d)*(d + e*x)^(1/2))","B"
1756,1,210,181,1.352258,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^(5/2)),x)","-\frac{\frac{2\,\left(A\,e-B\,d\right)}{3\,\left(a\,e-b\,d\right)}+\frac{2\,\left(d+e\,x\right)\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)}{3\,{\left(a\,e-b\,d\right)}^2}+\frac{b\,{\left(d+e\,x\right)}^2\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)}{{\left(a\,e-b\,d\right)}^3}}{b\,{\left(d+e\,x\right)}^{5/2}+\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}{{\left(a\,e-b\,d\right)}^{7/2}}\right)\,\left(3\,B\,a\,e-5\,A\,b\,e+2\,B\,b\,d\right)}{{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"- ((2*(A*e - B*d))/(3*(a*e - b*d)) + (2*(d + e*x)*(3*B*a*e - 5*A*b*e + 2*B*b*d))/(3*(a*e - b*d)^2) + (b*(d + e*x)^2*(3*B*a*e - 5*A*b*e + 2*B*b*d))/(a*e - b*d)^3)/(b*(d + e*x)^(5/2) + (a*e - b*d)*(d + e*x)^(3/2)) - (b^(1/2)*atan((b^(1/2)*(d + e*x)^(1/2)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(a*e - b*d)^(7/2))*(3*B*a*e - 5*A*b*e + 2*B*b*d))/(a*e - b*d)^(7/2)","B"
1757,1,261,221,1.404483,"\text{Not used}","int((A + B*x)/((a + b*x)^2*(d + e*x)^(7/2)),x)","\frac{b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}{{\left(a\,e-b\,d\right)}^{9/2}}\right)\,\left(5\,B\,a\,e-7\,A\,b\,e+2\,B\,b\,d\right)}{{\left(a\,e-b\,d\right)}^{9/2}}-\frac{\frac{2\,\left(A\,e-B\,d\right)}{5\,\left(a\,e-b\,d\right)}+\frac{2\,\left(d+e\,x\right)\,\left(5\,B\,a\,e-7\,A\,b\,e+2\,B\,b\,d\right)}{15\,{\left(a\,e-b\,d\right)}^2}-\frac{b^2\,{\left(d+e\,x\right)}^3\,\left(5\,B\,a\,e-7\,A\,b\,e+2\,B\,b\,d\right)}{{\left(a\,e-b\,d\right)}^4}-\frac{2\,b\,{\left(d+e\,x\right)}^2\,\left(5\,B\,a\,e-7\,A\,b\,e+2\,B\,b\,d\right)}{3\,{\left(a\,e-b\,d\right)}^3}}{b\,{\left(d+e\,x\right)}^{7/2}+\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"(b^(3/2)*atan((b^(1/2)*(d + e*x)^(1/2)*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3))/(a*e - b*d)^(9/2))*(5*B*a*e - 7*A*b*e + 2*B*b*d))/(a*e - b*d)^(9/2) - ((2*(A*e - B*d))/(5*(a*e - b*d)) + (2*(d + e*x)*(5*B*a*e - 7*A*b*e + 2*B*b*d))/(15*(a*e - b*d)^2) - (b^2*(d + e*x)^3*(5*B*a*e - 7*A*b*e + 2*B*b*d))/(a*e - b*d)^4 - (2*b*(d + e*x)^2*(5*B*a*e - 7*A*b*e + 2*B*b*d))/(3*(a*e - b*d)^3))/(b*(d + e*x)^(7/2) + (a*e - b*d)*(d + e*x)^(5/2))","B"
1758,1,561,274,1.325013,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^3,x)","\left(\frac{2\,A\,e^2-2\,B\,d\,e}{3\,b^3}+\frac{2\,B\,e\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)}{3\,b^6}\right)\,{\left(d+e\,x\right)}^{3/2}+\left(\frac{\left(\frac{2\,A\,e^2-2\,B\,d\,e}{b^3}+\frac{2\,B\,e\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)}{b^6}\right)\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)}{b^3}-\frac{6\,B\,e\,{\left(a\,e-b\,d\right)}^2}{b^5}\right)\,\sqrt{d+e\,x}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(-\frac{17\,B\,a^3\,b\,e^4}{4}+\frac{19\,B\,a^2\,b^2\,d\,e^3}{2}+\frac{13\,A\,a^2\,b^2\,e^4}{4}-\frac{25\,B\,a\,b^3\,d^2\,e^2}{4}-\frac{13\,A\,a\,b^3\,d\,e^3}{2}+B\,b^4\,d^3\,e+\frac{13\,A\,b^4\,d^2\,e^2}{4}\right)-\sqrt{d+e\,x}\,\left(\frac{15\,B\,a^4\,e^5}{4}-\frac{49\,B\,a^3\,b\,d\,e^4}{4}-\frac{11\,A\,a^3\,b\,e^5}{4}+\frac{57\,B\,a^2\,b^2\,d^2\,e^3}{4}+\frac{33\,A\,a^2\,b^2\,d\,e^4}{4}-\frac{27\,B\,a\,b^3\,d^3\,e^2}{4}-\frac{33\,A\,a\,b^3\,d^2\,e^3}{4}+B\,b^4\,d^4\,e+\frac{11\,A\,b^4\,d^3\,e^2}{4}\right)}{b^7\,{\left(d+e\,x\right)}^2-\left(2\,b^7\,d-2\,a\,b^6\,e\right)\,\left(d+e\,x\right)+b^7\,d^2+a^2\,b^5\,e^2-2\,a\,b^6\,d\,e}+\frac{2\,B\,e\,{\left(d+e\,x\right)}^{5/2}}{5\,b^3}+\frac{7\,e\,\mathrm{atan}\left(\frac{\sqrt{b}\,e\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-9\,B\,a\,e+4\,B\,b\,d\right)}{-9\,B\,a^3\,e^4+22\,B\,a^2\,b\,d\,e^3+5\,A\,a^2\,b\,e^4-17\,B\,a\,b^2\,d^2\,e^2-10\,A\,a\,b^2\,d\,e^3+4\,B\,b^3\,d^3\,e+5\,A\,b^3\,d^2\,e^2}\right)\,{\left(a\,e-b\,d\right)}^{3/2}\,\left(5\,A\,b\,e-9\,B\,a\,e+4\,B\,b\,d\right)}{4\,b^{11/2}}","Not used",1,"((2*A*e^2 - 2*B*d*e)/(3*b^3) + (2*B*e*(3*b^3*d - 3*a*b^2*e))/(3*b^6))*(d + e*x)^(3/2) + ((((2*A*e^2 - 2*B*d*e)/b^3 + (2*B*e*(3*b^3*d - 3*a*b^2*e))/b^6)*(3*b^3*d - 3*a*b^2*e))/b^3 - (6*B*e*(a*e - b*d)^2)/b^5)*(d + e*x)^(1/2) - ((d + e*x)^(3/2)*(B*b^4*d^3*e - (17*B*a^3*b*e^4)/4 + (13*A*a^2*b^2*e^4)/4 + (13*A*b^4*d^2*e^2)/4 - (25*B*a*b^3*d^2*e^2)/4 + (19*B*a^2*b^2*d*e^3)/2 - (13*A*a*b^3*d*e^3)/2) - (d + e*x)^(1/2)*((15*B*a^4*e^5)/4 - (11*A*a^3*b*e^5)/4 + B*b^4*d^4*e + (11*A*b^4*d^3*e^2)/4 - (33*A*a*b^3*d^2*e^3)/4 + (33*A*a^2*b^2*d*e^4)/4 - (27*B*a*b^3*d^3*e^2)/4 + (57*B*a^2*b^2*d^2*e^3)/4 - (49*B*a^3*b*d*e^4)/4))/(b^7*(d + e*x)^2 - (2*b^7*d - 2*a*b^6*e)*(d + e*x) + b^7*d^2 + a^2*b^5*e^2 - 2*a*b^6*d*e) + (2*B*e*(d + e*x)^(5/2))/(5*b^3) + (7*e*atan((b^(1/2)*e*(a*e - b*d)^(3/2)*(d + e*x)^(1/2)*(5*A*b*e - 9*B*a*e + 4*B*b*d))/(5*A*a^2*b*e^4 - 9*B*a^3*e^4 + 4*B*b^3*d^3*e + 5*A*b^3*d^2*e^2 - 17*B*a*b^2*d^2*e^2 - 10*A*a*b^2*d*e^3 + 22*B*a^2*b*d*e^3))*(a*e - b*d)^(3/2)*(5*A*b*e - 9*B*a*e + 4*B*b*d))/(4*b^(11/2))","B"
1759,1,325,233,1.351484,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^3,x)","\left(\frac{2\,A\,e^2-2\,B\,d\,e}{b^3}+\frac{2\,B\,e\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)}{b^6}\right)\,\sqrt{d+e\,x}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(\frac{13\,B\,a^2\,b\,e^3}{4}-\frac{17\,B\,a\,b^2\,d\,e^2}{4}-\frac{9\,A\,a\,b^2\,e^3}{4}+B\,b^3\,d^2\,e+\frac{9\,A\,b^3\,d\,e^2}{4}\right)-\sqrt{d+e\,x}\,\left(-\frac{11\,B\,a^3\,e^4}{4}+\frac{13\,B\,a^2\,b\,d\,e^3}{2}+\frac{7\,A\,a^2\,b\,e^4}{4}-\frac{19\,B\,a\,b^2\,d^2\,e^2}{4}-\frac{7\,A\,a\,b^2\,d\,e^3}{2}+B\,b^3\,d^3\,e+\frac{7\,A\,b^3\,d^2\,e^2}{4}\right)}{b^6\,{\left(d+e\,x\right)}^2-\left(2\,b^6\,d-2\,a\,b^5\,e\right)\,\left(d+e\,x\right)+b^6\,d^2+a^2\,b^4\,e^2-2\,a\,b^5\,d\,e}+\frac{2\,B\,e\,{\left(d+e\,x\right)}^{3/2}}{3\,b^3}+\frac{e\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,1{}\mathrm{i}}{\sqrt{b\,d-a\,e}}\right)\,\sqrt{b\,d-a\,e}\,\left(3\,A\,b\,e-7\,B\,a\,e+4\,B\,b\,d\right)\,5{}\mathrm{i}}{4\,b^{9/2}}","Not used",1,"((2*A*e^2 - 2*B*d*e)/b^3 + (2*B*e*(3*b^3*d - 3*a*b^2*e))/b^6)*(d + e*x)^(1/2) - ((d + e*x)^(3/2)*((13*B*a^2*b*e^3)/4 - (9*A*a*b^2*e^3)/4 + (9*A*b^3*d*e^2)/4 + B*b^3*d^2*e - (17*B*a*b^2*d*e^2)/4) - (d + e*x)^(1/2)*((7*A*a^2*b*e^4)/4 - (11*B*a^3*e^4)/4 + B*b^3*d^3*e + (7*A*b^3*d^2*e^2)/4 - (19*B*a*b^2*d^2*e^2)/4 - (7*A*a*b^2*d*e^3)/2 + (13*B*a^2*b*d*e^3)/2))/(b^6*(d + e*x)^2 - (2*b^6*d - 2*a*b^5*e)*(d + e*x) + b^6*d^2 + a^2*b^4*e^2 - 2*a*b^5*d*e) + (2*B*e*(d + e*x)^(3/2))/(3*b^3) + (e*atan((b^(1/2)*(d + e*x)^(1/2)*1i)/(b*d - a*e)^(1/2))*(b*d - a*e)^(1/2)*(3*A*b*e - 7*B*a*e + 4*B*b*d)*5i)/(4*b^(9/2))","B"
1760,1,256,197,1.295538,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^3,x)","\frac{\sqrt{d+e\,x}\,\left(\frac{7\,B\,a^2\,e^3}{4}-\frac{11\,B\,a\,b\,d\,e^2}{4}-\frac{3\,A\,a\,b\,e^3}{4}+B\,b^2\,d^2\,e+\frac{3\,A\,b^2\,d\,e^2}{4}\right)-{\left(d+e\,x\right)}^{3/2}\,\left(\frac{5\,A\,b^2\,e^2}{4}+B\,d\,b^2\,e-\frac{9\,B\,a\,b\,e^2}{4}\right)}{b^5\,{\left(d+e\,x\right)}^2-\left(2\,b^5\,d-2\,a\,b^4\,e\right)\,\left(d+e\,x\right)+b^5\,d^2+a^2\,b^3\,e^2-2\,a\,b^4\,d\,e}+\frac{2\,B\,e\,\sqrt{d+e\,x}}{b^3}+\frac{3\,e\,\mathrm{atan}\left(\frac{\sqrt{b}\,e\,\sqrt{d+e\,x}\,\left(A\,b\,e-5\,B\,a\,e+4\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^2-5\,B\,a\,e^2+4\,B\,b\,d\,e\right)}\right)\,\left(A\,b\,e-5\,B\,a\,e+4\,B\,b\,d\right)}{4\,b^{7/2}\,\sqrt{a\,e-b\,d}}","Not used",1,"((d + e*x)^(1/2)*((7*B*a^2*e^3)/4 - (3*A*a*b*e^3)/4 + (3*A*b^2*d*e^2)/4 + B*b^2*d^2*e - (11*B*a*b*d*e^2)/4) - (d + e*x)^(3/2)*((5*A*b^2*e^2)/4 - (9*B*a*b*e^2)/4 + B*b^2*d*e))/(b^5*(d + e*x)^2 - (2*b^5*d - 2*a*b^4*e)*(d + e*x) + b^5*d^2 + a^2*b^3*e^2 - 2*a*b^4*d*e) + (2*B*e*(d + e*x)^(1/2))/b^3 + (3*e*atan((b^(1/2)*e*(d + e*x)^(1/2)*(A*b*e - 5*B*a*e + 4*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^2 - 5*B*a*e^2 + 4*B*b*d*e)))*(A*b*e - 5*B*a*e + 4*B*b*d))/(4*b^(7/2)*(a*e - b*d)^(1/2))","B"
1761,1,222,157,0.224909,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^3,x)","\frac{e\,\mathrm{atan}\left(\frac{\sqrt{b}\,e\,\sqrt{d+e\,x}\,\left(A\,b\,e+3\,B\,a\,e-4\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^2+3\,B\,a\,e^2-4\,B\,b\,d\,e\right)}\right)\,\left(A\,b\,e+3\,B\,a\,e-4\,B\,b\,d\right)}{4\,b^{5/2}\,{\left(a\,e-b\,d\right)}^{3/2}}-\frac{\frac{\sqrt{d+e\,x}\,\left(A\,b\,e^2+3\,B\,a\,e^2-4\,B\,b\,d\,e\right)}{4\,b^2}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(A\,b\,e^2-5\,B\,a\,e^2+4\,B\,b\,d\,e\right)}{4\,b\,\left(a\,e-b\,d\right)}}{b^2\,{\left(d+e\,x\right)}^2-\left(2\,b^2\,d-2\,a\,b\,e\right)\,\left(d+e\,x\right)+a^2\,e^2+b^2\,d^2-2\,a\,b\,d\,e}","Not used",1,"(e*atan((b^(1/2)*e*(d + e*x)^(1/2)*(A*b*e + 3*B*a*e - 4*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^2 + 3*B*a*e^2 - 4*B*b*d*e)))*(A*b*e + 3*B*a*e - 4*B*b*d))/(4*b^(5/2)*(a*e - b*d)^(3/2)) - (((d + e*x)^(1/2)*(A*b*e^2 + 3*B*a*e^2 - 4*B*b*d*e))/(4*b^2) - ((d + e*x)^(3/2)*(A*b*e^2 - 5*B*a*e^2 + 4*B*b*d*e))/(4*b*(a*e - b*d)))/(b^2*(d + e*x)^2 - (2*b^2*d - 2*a*b*e)*(d + e*x) + a^2*e^2 + b^2*d^2 - 2*a*b*d*e)","B"
1762,1,228,157,1.336040,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^(1/2)),x)","\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(3\,A\,b\,e^2+B\,a\,e^2-4\,B\,b\,d\,e\right)}{4\,{\left(a\,e-b\,d\right)}^2}-\frac{\sqrt{d+e\,x}\,\left(B\,a\,e^2-5\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{4\,b\,\left(a\,e-b\,d\right)}}{b^2\,{\left(d+e\,x\right)}^2-\left(2\,b^2\,d-2\,a\,b\,e\right)\,\left(d+e\,x\right)+a^2\,e^2+b^2\,d^2-2\,a\,b\,d\,e}+\frac{e\,\mathrm{atan}\left(\frac{\sqrt{b}\,e\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(3\,A\,b\,e^2+B\,a\,e^2-4\,B\,b\,d\,e\right)}\right)\,\left(3\,A\,b\,e+B\,a\,e-4\,B\,b\,d\right)}{4\,b^{3/2}\,{\left(a\,e-b\,d\right)}^{5/2}}","Not used",1,"(((d + e*x)^(3/2)*(3*A*b*e^2 + B*a*e^2 - 4*B*b*d*e))/(4*(a*e - b*d)^2) - ((d + e*x)^(1/2)*(B*a*e^2 - 5*A*b*e^2 + 4*B*b*d*e))/(4*b*(a*e - b*d)))/(b^2*(d + e*x)^2 - (2*b^2*d - 2*a*b*e)*(d + e*x) + a^2*e^2 + b^2*d^2 - 2*a*b*d*e) + (e*atan((b^(1/2)*e*(d + e*x)^(1/2)*(3*A*b*e + B*a*e - 4*B*b*d))/((a*e - b*d)^(1/2)*(3*A*b*e^2 + B*a*e^2 - 4*B*b*d*e)))*(3*A*b*e + B*a*e - 4*B*b*d))/(4*b^(3/2)*(a*e - b*d)^(5/2))","B"
1763,1,296,197,1.458623,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^(3/2)),x)","\frac{\frac{5\,\left(d+e\,x\right)\,\left(B\,a\,e^2-5\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{4\,{\left(a\,e-b\,d\right)}^2}-\frac{2\,\left(A\,e^2-B\,d\,e\right)}{a\,e-b\,d}+\frac{3\,b\,{\left(d+e\,x\right)}^2\,\left(B\,a\,e^2-5\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{4\,{\left(a\,e-b\,d\right)}^3}}{b^2\,{\left(d+e\,x\right)}^{5/2}-\left(2\,b^2\,d-2\,a\,b\,e\right)\,{\left(d+e\,x\right)}^{3/2}+\sqrt{d+e\,x}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}+\frac{3\,e\,\mathrm{atan}\left(\frac{3\,\sqrt{b}\,e\,\sqrt{d+e\,x}\,\left(B\,a\,e-5\,A\,b\,e+4\,B\,b\,d\right)\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)}{{\left(a\,e-b\,d\right)}^{7/2}\,\left(3\,B\,a\,e^2-15\,A\,b\,e^2+12\,B\,b\,d\,e\right)}\right)\,\left(B\,a\,e-5\,A\,b\,e+4\,B\,b\,d\right)}{4\,\sqrt{b}\,{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"((5*(d + e*x)*(B*a*e^2 - 5*A*b*e^2 + 4*B*b*d*e))/(4*(a*e - b*d)^2) - (2*(A*e^2 - B*d*e))/(a*e - b*d) + (3*b*(d + e*x)^2*(B*a*e^2 - 5*A*b*e^2 + 4*B*b*d*e))/(4*(a*e - b*d)^3))/(b^2*(d + e*x)^(5/2) - (2*b^2*d - 2*a*b*e)*(d + e*x)^(3/2) + (d + e*x)^(1/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) + (3*e*atan((3*b^(1/2)*e*(d + e*x)^(1/2)*(B*a*e - 5*A*b*e + 4*B*b*d)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/((a*e - b*d)^(7/2)*(3*B*a*e^2 - 15*A*b*e^2 + 12*B*b*d*e)))*(B*a*e - 5*A*b*e + 4*B*b*d))/(4*b^(1/2)*(a*e - b*d)^(7/2))","B"
1764,1,361,240,1.522282,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^(5/2)),x)","-\frac{\frac{2\,\left(A\,e^2-B\,d\,e\right)}{3\,\left(a\,e-b\,d\right)}+\frac{2\,\left(d+e\,x\right)\,\left(3\,B\,a\,e^2-7\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{3\,{\left(a\,e-b\,d\right)}^2}+\frac{25\,{\left(d+e\,x\right)}^2\,\left(-7\,A\,b^2\,e^2+4\,B\,d\,b^2\,e+3\,B\,a\,b\,e^2\right)}{12\,{\left(a\,e-b\,d\right)}^3}+\frac{5\,b^2\,{\left(d+e\,x\right)}^3\,\left(3\,B\,a\,e^2-7\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{4\,{\left(a\,e-b\,d\right)}^4}}{b^2\,{\left(d+e\,x\right)}^{7/2}-\left(2\,b^2\,d-2\,a\,b\,e\right)\,{\left(d+e\,x\right)}^{5/2}+{\left(d+e\,x\right)}^{3/2}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}-\frac{5\,\sqrt{b}\,e\,\mathrm{atan}\left(\frac{\sqrt{b}\,e\,\sqrt{d+e\,x}\,\left(3\,B\,a\,e-7\,A\,b\,e+4\,B\,b\,d\right)\,\left(a^4\,e^4-4\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e+b^4\,d^4\right)}{{\left(a\,e-b\,d\right)}^{9/2}\,\left(3\,B\,a\,e^2-7\,A\,b\,e^2+4\,B\,b\,d\,e\right)}\right)\,\left(3\,B\,a\,e-7\,A\,b\,e+4\,B\,b\,d\right)}{4\,{\left(a\,e-b\,d\right)}^{9/2}}","Not used",1,"- ((2*(A*e^2 - B*d*e))/(3*(a*e - b*d)) + (2*(d + e*x)*(3*B*a*e^2 - 7*A*b*e^2 + 4*B*b*d*e))/(3*(a*e - b*d)^2) + (25*(d + e*x)^2*(3*B*a*b*e^2 - 7*A*b^2*e^2 + 4*B*b^2*d*e))/(12*(a*e - b*d)^3) + (5*b^2*(d + e*x)^3*(3*B*a*e^2 - 7*A*b*e^2 + 4*B*b*d*e))/(4*(a*e - b*d)^4))/(b^2*(d + e*x)^(7/2) - (2*b^2*d - 2*a*b*e)*(d + e*x)^(5/2) + (d + e*x)^(3/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) - (5*b^(1/2)*e*atan((b^(1/2)*e*(d + e*x)^(1/2)*(3*B*a*e - 7*A*b*e + 4*B*b*d)*(a^4*e^4 + b^4*d^4 + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3))/((a*e - b*d)^(9/2)*(3*B*a*e^2 - 7*A*b*e^2 + 4*B*b*d*e)))*(3*B*a*e - 7*A*b*e + 4*B*b*d))/(4*(a*e - b*d)^(9/2))","B"
1765,1,418,281,1.650072,"\text{Not used}","int((A + B*x)/((a + b*x)^3*(d + e*x)^(7/2)),x)","\frac{\frac{35\,{\left(d+e\,x\right)}^3\,\left(-9\,A\,b^3\,e^2+4\,B\,d\,b^3\,e+5\,B\,a\,b^2\,e^2\right)}{12\,{\left(a\,e-b\,d\right)}^4}-\frac{2\,\left(A\,e^2-B\,d\,e\right)}{5\,\left(a\,e-b\,d\right)}-\frac{2\,\left(d+e\,x\right)\,\left(5\,B\,a\,e^2-9\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{15\,{\left(a\,e-b\,d\right)}^2}+\frac{7\,b^3\,{\left(d+e\,x\right)}^4\,\left(5\,B\,a\,e^2-9\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{4\,{\left(a\,e-b\,d\right)}^5}+\frac{14\,b\,{\left(d+e\,x\right)}^2\,\left(5\,B\,a\,e^2-9\,A\,b\,e^2+4\,B\,b\,d\,e\right)}{15\,{\left(a\,e-b\,d\right)}^3}}{b^2\,{\left(d+e\,x\right)}^{9/2}-\left(2\,b^2\,d-2\,a\,b\,e\right)\,{\left(d+e\,x\right)}^{7/2}+{\left(d+e\,x\right)}^{5/2}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}+\frac{7\,b^{3/2}\,e\,\mathrm{atan}\left(\frac{\sqrt{b}\,e\,\sqrt{d+e\,x}\,\left(5\,B\,a\,e-9\,A\,b\,e+4\,B\,b\,d\right)\,\left(a^5\,e^5-5\,a^4\,b\,d\,e^4+10\,a^3\,b^2\,d^2\,e^3-10\,a^2\,b^3\,d^3\,e^2+5\,a\,b^4\,d^4\,e-b^5\,d^5\right)}{{\left(a\,e-b\,d\right)}^{11/2}\,\left(5\,B\,a\,e^2-9\,A\,b\,e^2+4\,B\,b\,d\,e\right)}\right)\,\left(5\,B\,a\,e-9\,A\,b\,e+4\,B\,b\,d\right)}{4\,{\left(a\,e-b\,d\right)}^{11/2}}","Not used",1,"((35*(d + e*x)^3*(4*B*b^3*d*e - 9*A*b^3*e^2 + 5*B*a*b^2*e^2))/(12*(a*e - b*d)^4) - (2*(A*e^2 - B*d*e))/(5*(a*e - b*d)) - (2*(d + e*x)*(5*B*a*e^2 - 9*A*b*e^2 + 4*B*b*d*e))/(15*(a*e - b*d)^2) + (7*b^3*(d + e*x)^4*(5*B*a*e^2 - 9*A*b*e^2 + 4*B*b*d*e))/(4*(a*e - b*d)^5) + (14*b*(d + e*x)^2*(5*B*a*e^2 - 9*A*b*e^2 + 4*B*b*d*e))/(15*(a*e - b*d)^3))/(b^2*(d + e*x)^(9/2) - (2*b^2*d - 2*a*b*e)*(d + e*x)^(7/2) + (d + e*x)^(5/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) + (7*b^(3/2)*e*atan((b^(1/2)*e*(d + e*x)^(1/2)*(5*B*a*e - 9*A*b*e + 4*B*b*d)*(a^5*e^5 - b^5*d^5 - 10*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 5*a*b^4*d^4*e - 5*a^4*b*d*e^4))/((a*e - b*d)^(11/2)*(5*B*a*e^2 - 9*A*b*e^2 + 4*B*b*d*e)))*(5*B*a*e - 9*A*b*e + 4*B*b*d))/(4*(a*e - b*d)^(11/2))","B"
1766,1,330,164,0.125278,"\text{Not used}","int(((e + f*x)^(5/2)*(a + b*x))/(c + d*x),x)","{\left(e+f\,x\right)}^{5/2}\,\left(\frac{2\,a\,f-2\,b\,e}{5\,d\,f}-\frac{2\,b\,\left(c\,f^2-d\,e\,f\right)}{5\,d^2\,f^2}\right)+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,\left(a\,d-b\,c\right)\,{\left(c\,f-d\,e\right)}^{5/2}}{b\,c^4\,f^3-3\,b\,c^3\,d\,e\,f^2-a\,c^3\,d\,f^3+3\,b\,c^2\,d^2\,e^2\,f+3\,a\,c^2\,d^2\,e\,f^2-b\,c\,d^3\,e^3-3\,a\,c\,d^3\,e^2\,f+a\,d^4\,e^3}\right)\,\left(a\,d-b\,c\right)\,{\left(c\,f-d\,e\right)}^{5/2}}{d^{9/2}}+\frac{2\,b\,{\left(e+f\,x\right)}^{7/2}}{7\,d\,f}-\frac{{\left(e+f\,x\right)}^{3/2}\,\left(c\,f^2-d\,e\,f\right)\,\left(\frac{2\,a\,f-2\,b\,e}{d\,f}-\frac{2\,b\,\left(c\,f^2-d\,e\,f\right)}{d^2\,f^2}\right)}{3\,d\,f}+\frac{\sqrt{e+f\,x}\,{\left(c\,f^2-d\,e\,f\right)}^2\,\left(\frac{2\,a\,f-2\,b\,e}{d\,f}-\frac{2\,b\,\left(c\,f^2-d\,e\,f\right)}{d^2\,f^2}\right)}{d^2\,f^2}","Not used",1,"(e + f*x)^(5/2)*((2*a*f - 2*b*e)/(5*d*f) - (2*b*(c*f^2 - d*e*f))/(5*d^2*f^2)) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)*(c*f - d*e)^(5/2))/(a*d^4*e^3 + b*c^4*f^3 - a*c^3*d*f^3 - b*c*d^3*e^3 - 3*a*c*d^3*e^2*f - 3*b*c^3*d*e*f^2 + 3*a*c^2*d^2*e*f^2 + 3*b*c^2*d^2*e^2*f))*(a*d - b*c)*(c*f - d*e)^(5/2))/d^(9/2) + (2*b*(e + f*x)^(7/2))/(7*d*f) - ((e + f*x)^(3/2)*(c*f^2 - d*e*f)*((2*a*f - 2*b*e)/(d*f) - (2*b*(c*f^2 - d*e*f))/(d^2*f^2)))/(3*d*f) + ((e + f*x)^(1/2)*(c*f^2 - d*e*f)^2*((2*a*f - 2*b*e)/(d*f) - (2*b*(c*f^2 - d*e*f))/(d^2*f^2)))/(d^2*f^2)","B"
1767,1,236,130,1.227406,"\text{Not used}","int(((e + f*x)^(3/2)*(a + b*x))/(c + d*x),x)","{\left(e+f\,x\right)}^{3/2}\,\left(\frac{2\,a\,f-2\,b\,e}{3\,d\,f}-\frac{2\,b\,\left(c\,f^2-d\,e\,f\right)}{3\,d^2\,f^2}\right)+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,\left(a\,d-b\,c\right)\,{\left(c\,f-d\,e\right)}^{3/2}}{-b\,c^3\,f^2+2\,b\,c^2\,d\,e\,f+a\,c^2\,d\,f^2-b\,c\,d^2\,e^2-2\,a\,c\,d^2\,e\,f+a\,d^3\,e^2}\right)\,\left(a\,d-b\,c\right)\,{\left(c\,f-d\,e\right)}^{3/2}}{d^{7/2}}+\frac{2\,b\,{\left(e+f\,x\right)}^{5/2}}{5\,d\,f}-\frac{\sqrt{e+f\,x}\,\left(c\,f^2-d\,e\,f\right)\,\left(\frac{2\,a\,f-2\,b\,e}{d\,f}-\frac{2\,b\,\left(c\,f^2-d\,e\,f\right)}{d^2\,f^2}\right)}{d\,f}","Not used",1,"(e + f*x)^(3/2)*((2*a*f - 2*b*e)/(3*d*f) - (2*b*(c*f^2 - d*e*f))/(3*d^2*f^2)) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)*(c*f - d*e)^(3/2))/(a*d^3*e^2 - b*c^3*f^2 + a*c^2*d*f^2 - b*c*d^2*e^2 - 2*a*c*d^2*e*f + 2*b*c^2*d*e*f))*(a*d - b*c)*(c*f - d*e)^(3/2))/d^(7/2) + (2*b*(e + f*x)^(5/2))/(5*d*f) - ((e + f*x)^(1/2)*(c*f^2 - d*e*f)*((2*a*f - 2*b*e)/(d*f) - (2*b*(c*f^2 - d*e*f))/(d^2*f^2)))/(d*f)","B"
1768,1,107,98,0.134395,"\text{Not used}","int(((e + f*x)^(1/2)*(a + b*x))/(c + d*x),x)","\sqrt{e+f\,x}\,\left(\frac{2\,a\,f-2\,b\,e}{d\,f}-\frac{2\,b\,\left(c\,f^2-d\,e\,f\right)}{d^2\,f^2}\right)+\frac{2\,b\,{\left(e+f\,x\right)}^{3/2}}{3\,d\,f}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}}{\sqrt{d\,e-c\,f}}\right)\,\left(a\,d-b\,c\right)\,\sqrt{d\,e-c\,f}}{d^{5/2}}","Not used",1,"(e + f*x)^(1/2)*((2*a*f - 2*b*e)/(d*f) - (2*b*(c*f^2 - d*e*f))/(d^2*f^2)) + (2*b*(e + f*x)^(3/2))/(3*d*f) - (2*atanh((d^(1/2)*(e + f*x)^(1/2))/(d*e - c*f)^(1/2))*(a*d - b*c)*(d*e - c*f)^(1/2))/d^(5/2)","B"
1769,1,62,74,0.083127,"\text{Not used}","int((a + b*x)/((e + f*x)^(1/2)*(c + d*x)),x)","\frac{2\,b\,\sqrt{e+f\,x}}{d\,f}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}}{\sqrt{c\,f-d\,e}}\right)\,\left(a\,d-b\,c\right)}{d^{3/2}\,\sqrt{c\,f-d\,e}}","Not used",1,"(2*b*(e + f*x)^(1/2))/(d*f) + (2*atan((d^(1/2)*(e + f*x)^(1/2))/(c*f - d*e)^(1/2))*(a*d - b*c))/(d^(3/2)*(c*f - d*e)^(1/2))","B"
1770,1,96,88,1.268391,"\text{Not used}","int((a + b*x)/((e + f*x)^(3/2)*(c + d*x)),x)","-\frac{2\,\left(a\,f-b\,e\right)}{f\,\sqrt{e+f\,x}\,\left(c\,f-d\,e\right)}-\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{d}\,\sqrt{e+f\,x}\,\left(a\,d-b\,c\right)}{\left(2\,a\,d-2\,b\,c\right)\,\sqrt{c\,f-d\,e}}\right)\,\left(a\,d-b\,c\right)}{\sqrt{d}\,{\left(c\,f-d\,e\right)}^{3/2}}","Not used",1,"- (2*(a*f - b*e))/(f*(e + f*x)^(1/2)*(c*f - d*e)) - (2*atan((2*d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c))/((2*a*d - 2*b*c)*(c*f - d*e)^(1/2)))*(a*d - b*c))/(d^(1/2)*(c*f - d*e)^(3/2))","B"
1771,1,128,119,0.186474,"\text{Not used}","int((a + b*x)/((e + f*x)^(5/2)*(c + d*x)),x)","\frac{2\,\sqrt{d}\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2\right)}{{\left(c\,f-d\,e\right)}^{5/2}}\right)\,\left(a\,d-b\,c\right)}{{\left(c\,f-d\,e\right)}^{5/2}}-\frac{\frac{2\,\left(a\,f-b\,e\right)}{3\,\left(c\,f-d\,e\right)}-\frac{2\,\left(e+f\,x\right)\,\left(a\,d\,f-b\,c\,f\right)}{{\left(c\,f-d\,e\right)}^2}}{f\,{\left(e+f\,x\right)}^{3/2}}","Not used",1,"(2*d^(1/2)*atan((d^(1/2)*(e + f*x)^(1/2)*(c^2*f^2 + d^2*e^2 - 2*c*d*e*f))/(c*f - d*e)^(5/2))*(a*d - b*c))/(c*f - d*e)^(5/2) - ((2*(a*f - b*e))/(3*(c*f - d*e)) - (2*(e + f*x)*(a*d*f - b*c*f))/(c*f - d*e)^2)/(f*(e + f*x)^(3/2))","B"
1772,1,173,151,1.357517,"\text{Not used}","int((a + b*x)/((e + f*x)^(7/2)*(c + d*x)),x)","-\frac{\frac{2\,\left(a\,f-b\,e\right)}{5\,\left(c\,f-d\,e\right)}-\frac{2\,\left(e+f\,x\right)\,\left(a\,d\,f-b\,c\,f\right)}{3\,{\left(c\,f-d\,e\right)}^2}+\frac{2\,d\,{\left(e+f\,x\right)}^2\,\left(a\,d\,f-b\,c\,f\right)}{{\left(c\,f-d\,e\right)}^3}}{f\,{\left(e+f\,x\right)}^{5/2}}-\frac{2\,d^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,\left(c^3\,f^3-3\,c^2\,d\,e\,f^2+3\,c\,d^2\,e^2\,f-d^3\,e^3\right)}{{\left(c\,f-d\,e\right)}^{7/2}}\right)\,\left(a\,d-b\,c\right)}{{\left(c\,f-d\,e\right)}^{7/2}}","Not used",1,"- ((2*(a*f - b*e))/(5*(c*f - d*e)) - (2*(e + f*x)*(a*d*f - b*c*f))/(3*(c*f - d*e)^2) + (2*d*(e + f*x)^2*(a*d*f - b*c*f))/(c*f - d*e)^3)/(f*(e + f*x)^(5/2)) - (2*d^(3/2)*atan((d^(1/2)*(e + f*x)^(1/2)*(c^3*f^3 - d^3*e^3 + 3*c*d^2*e^2*f - 3*c^2*d*e*f^2))/(c*f - d*e)^(7/2))*(a*d - b*c))/(c*f - d*e)^(7/2)","B"
1773,1,218,185,1.361621,"\text{Not used}","int((a + b*x)/((e + f*x)^(9/2)*(c + d*x)),x)","\frac{2\,d^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,\left(c^4\,f^4-4\,c^3\,d\,e\,f^3+6\,c^2\,d^2\,e^2\,f^2-4\,c\,d^3\,e^3\,f+d^4\,e^4\right)}{{\left(c\,f-d\,e\right)}^{9/2}}\right)\,\left(a\,d-b\,c\right)}{{\left(c\,f-d\,e\right)}^{9/2}}-\frac{\frac{2\,\left(a\,f-b\,e\right)}{7\,\left(c\,f-d\,e\right)}-\frac{2\,\left(e+f\,x\right)\,\left(a\,d\,f-b\,c\,f\right)}{5\,{\left(c\,f-d\,e\right)}^2}-\frac{2\,d^2\,{\left(e+f\,x\right)}^3\,\left(a\,d\,f-b\,c\,f\right)}{{\left(c\,f-d\,e\right)}^4}+\frac{2\,d\,{\left(e+f\,x\right)}^2\,\left(a\,d\,f-b\,c\,f\right)}{3\,{\left(c\,f-d\,e\right)}^3}}{f\,{\left(e+f\,x\right)}^{7/2}}","Not used",1,"(2*d^(5/2)*atan((d^(1/2)*(e + f*x)^(1/2)*(c^4*f^4 + d^4*e^4 + 6*c^2*d^2*e^2*f^2 - 4*c*d^3*e^3*f - 4*c^3*d*e*f^3))/(c*f - d*e)^(9/2))*(a*d - b*c))/(c*f - d*e)^(9/2) - ((2*(a*f - b*e))/(7*(c*f - d*e)) - (2*(e + f*x)*(a*d*f - b*c*f))/(5*(c*f - d*e)^2) - (2*d^2*(e + f*x)^3*(a*d*f - b*c*f))/(c*f - d*e)^4 + (2*d*(e + f*x)^2*(a*d*f - b*c*f))/(3*(c*f - d*e)^3))/(f*(e + f*x)^(7/2))","B"
1774,1,602,208,0.160739,"\text{Not used}","int(((e + f*x)^(5/2)*(a + b*x)^2)/(c + d*x),x)","{\left(e+f\,x\right)}^{5/2}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^2}{5\,d\,f^2}+\frac{\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{5\,d\,f^2}\right)-{\left(e+f\,x\right)}^{7/2}\,\left(\frac{4\,b^2\,e-4\,a\,b\,f}{7\,d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{7\,d^2\,f^4}\right)+\frac{2\,b^2\,{\left(e+f\,x\right)}^{9/2}}{9\,d\,f^2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2\,{\left(c\,f-d\,e\right)}^{5/2}}{-a^2\,c^3\,d^2\,f^3+3\,a^2\,c^2\,d^3\,e\,f^2-3\,a^2\,c\,d^4\,e^2\,f+a^2\,d^5\,e^3+2\,a\,b\,c^4\,d\,f^3-6\,a\,b\,c^3\,d^2\,e\,f^2+6\,a\,b\,c^2\,d^3\,e^2\,f-2\,a\,b\,c\,d^4\,e^3-b^2\,c^5\,f^3+3\,b^2\,c^4\,d\,e\,f^2-3\,b^2\,c^3\,d^2\,e^2\,f+b^2\,c^2\,d^3\,e^3}\right)\,{\left(a\,d-b\,c\right)}^2\,{\left(c\,f-d\,e\right)}^{5/2}}{d^{11/2}}-\frac{{\left(e+f\,x\right)}^{3/2}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^2}{d\,f^2}+\frac{\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{d\,f^2}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{3\,d\,f^2}+\frac{\sqrt{e+f\,x}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^2}{d\,f^2}+\frac{\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{d\,f^2}\right)\,{\left(c\,f^3-d\,e\,f^2\right)}^2}{d^2\,f^4}","Not used",1,"(e + f*x)^(5/2)*((2*(a*f - b*e)^2)/(5*d*f^2) + (((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4))*(c*f^3 - d*e*f^2))/(5*d*f^2)) - (e + f*x)^(7/2)*((4*b^2*e - 4*a*b*f)/(7*d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(7*d^2*f^4)) + (2*b^2*(e + f*x)^(9/2))/(9*d*f^2) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2*(c*f - d*e)^(5/2))/(a^2*d^5*e^3 - b^2*c^5*f^3 - a^2*c^3*d^2*f^3 + b^2*c^2*d^3*e^3 - 2*a*b*c*d^4*e^3 + 2*a*b*c^4*d*f^3 - 3*a^2*c*d^4*e^2*f + 3*b^2*c^4*d*e*f^2 + 3*a^2*c^2*d^3*e*f^2 - 3*b^2*c^3*d^2*e^2*f + 6*a*b*c^2*d^3*e^2*f - 6*a*b*c^3*d^2*e*f^2))*(a*d - b*c)^2*(c*f - d*e)^(5/2))/d^(11/2) - ((e + f*x)^(3/2)*((2*(a*f - b*e)^2)/(d*f^2) + (((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4))*(c*f^3 - d*e*f^2))/(d*f^2))*(c*f^3 - d*e*f^2))/(3*d*f^2) + ((e + f*x)^(1/2)*((2*(a*f - b*e)^2)/(d*f^2) + (((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4))*(c*f^3 - d*e*f^2))/(d*f^2))*(c*f^3 - d*e*f^2)^2)/(d^2*f^4)","B"
1775,1,438,172,1.260732,"\text{Not used}","int(((e + f*x)^(3/2)*(a + b*x)^2)/(c + d*x),x)","{\left(e+f\,x\right)}^{3/2}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^2}{3\,d\,f^2}+\frac{\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{3\,d\,f^2}\right)-{\left(e+f\,x\right)}^{5/2}\,\left(\frac{4\,b^2\,e-4\,a\,b\,f}{5\,d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{5\,d^2\,f^4}\right)+\frac{2\,b^2\,{\left(e+f\,x\right)}^{7/2}}{7\,d\,f^2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2\,{\left(c\,f-d\,e\right)}^{3/2}}{a^2\,c^2\,d^2\,f^2-2\,a^2\,c\,d^3\,e\,f+a^2\,d^4\,e^2-2\,a\,b\,c^3\,d\,f^2+4\,a\,b\,c^2\,d^2\,e\,f-2\,a\,b\,c\,d^3\,e^2+b^2\,c^4\,f^2-2\,b^2\,c^3\,d\,e\,f+b^2\,c^2\,d^2\,e^2}\right)\,{\left(a\,d-b\,c\right)}^2\,{\left(c\,f-d\,e\right)}^{3/2}}{d^{9/2}}-\frac{\sqrt{e+f\,x}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^2}{d\,f^2}+\frac{\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{d\,f^2}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{d\,f^2}","Not used",1,"(e + f*x)^(3/2)*((2*(a*f - b*e)^2)/(3*d*f^2) + (((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4))*(c*f^3 - d*e*f^2))/(3*d*f^2)) - (e + f*x)^(5/2)*((4*b^2*e - 4*a*b*f)/(5*d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(5*d^2*f^4)) + (2*b^2*(e + f*x)^(7/2))/(7*d*f^2) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2*(c*f - d*e)^(3/2))/(a^2*d^4*e^2 + b^2*c^4*f^2 + a^2*c^2*d^2*f^2 + b^2*c^2*d^2*e^2 - 2*a*b*c*d^3*e^2 - 2*a*b*c^3*d*f^2 - 2*a^2*c*d^3*e*f - 2*b^2*c^3*d*e*f + 4*a*b*c^2*d^2*e*f))*(a*d - b*c)^2*(c*f - d*e)^(3/2))/d^(9/2) - ((e + f*x)^(1/2)*((2*(a*f - b*e)^2)/(d*f^2) + (((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4))*(c*f^3 - d*e*f^2))/(d*f^2))*(c*f^3 - d*e*f^2))/(d*f^2)","B"
1776,1,281,138,0.168168,"\text{Not used}","int(((e + f*x)^(1/2)*(a + b*x)^2)/(c + d*x),x)","\sqrt{e+f\,x}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^2}{d\,f^2}+\frac{\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)\,\left(c\,f^3-d\,e\,f^2\right)}{d\,f^2}\right)-{\left(e+f\,x\right)}^{3/2}\,\left(\frac{4\,b^2\,e-4\,a\,b\,f}{3\,d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{3\,d^2\,f^4}\right)+\frac{2\,b^2\,{\left(e+f\,x\right)}^{5/2}}{5\,d\,f^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2\,\sqrt{d\,e-c\,f}\,1{}\mathrm{i}}{-f\,a^2\,c\,d^2+e\,a^2\,d^3+2\,f\,a\,b\,c^2\,d-2\,e\,a\,b\,c\,d^2-f\,b^2\,c^3+e\,b^2\,c^2\,d}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{d\,e-c\,f}\,2{}\mathrm{i}}{d^{7/2}}","Not used",1,"(e + f*x)^(1/2)*((2*(a*f - b*e)^2)/(d*f^2) + (((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4))*(c*f^3 - d*e*f^2))/(d*f^2)) - (e + f*x)^(3/2)*((4*b^2*e - 4*a*b*f)/(3*d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(3*d^2*f^4)) + (2*b^2*(e + f*x)^(5/2))/(5*d*f^2) + (atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2*(d*e - c*f)^(1/2)*1i)/(a^2*d^3*e - b^2*c^3*f - a^2*c*d^2*f + b^2*c^2*d*e - 2*a*b*c*d^2*e + 2*a*b*c^2*d*f))*(a*d - b*c)^2*(d*e - c*f)^(1/2)*2i)/d^(7/2)","B"
1777,1,152,112,1.251042,"\text{Not used}","int((a + b*x)^2/((e + f*x)^(1/2)*(c + d*x)),x)","\frac{2\,b^2\,{\left(e+f\,x\right)}^{3/2}}{3\,d\,f^2}-\sqrt{e+f\,x}\,\left(\frac{4\,b^2\,e-4\,a\,b\,f}{d\,f^2}+\frac{2\,b^2\,\left(c\,f^3-d\,e\,f^2\right)}{d^2\,f^4}\right)+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2}{\sqrt{c\,f-d\,e}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{d^{5/2}\,\sqrt{c\,f-d\,e}}","Not used",1,"(2*b^2*(e + f*x)^(3/2))/(3*d*f^2) - (e + f*x)^(1/2)*((4*b^2*e - 4*a*b*f)/(d*f^2) + (2*b^2*(c*f^3 - d*e*f^2))/(d^2*f^4)) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2)/((c*f - d*e)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))*(a*d - b*c)^2)/(d^(5/2)*(c*f - d*e)^(1/2))","B"
1778,1,162,112,1.296544,"\text{Not used}","int((a + b*x)^2/((e + f*x)^(3/2)*(c + d*x)),x)","\frac{2\,b^2\,\sqrt{e+f\,x}}{d\,f^2}+\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{e+f\,x}\,\left(d^2\,e-c\,d\,f\right)\,{\left(a\,d-b\,c\right)}^2}{\sqrt{d}\,{\left(c\,f-d\,e\right)}^{3/2}\,\left(2\,a^2\,d^2-4\,a\,b\,c\,d+2\,b^2\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{d^{3/2}\,{\left(c\,f-d\,e\right)}^{3/2}}-\frac{2\,\left(d\,a^2\,f^2-2\,d\,a\,b\,e\,f+d\,b^2\,e^2\right)}{d\,f^2\,\sqrt{e+f\,x}\,\left(c\,f-d\,e\right)}","Not used",1,"(2*b^2*(e + f*x)^(1/2))/(d*f^2) + (2*atan((2*(e + f*x)^(1/2)*(d^2*e - c*d*f)*(a*d - b*c)^2)/(d^(1/2)*(c*f - d*e)^(3/2)*(2*a^2*d^2 + 2*b^2*c^2 - 4*a*b*c*d)))*(a*d - b*c)^2)/(d^(3/2)*(c*f - d*e)^(3/2)) - (2*(a^2*d*f^2 + b^2*d*e^2 - 2*a*b*d*e*f))/(d*f^2*(e + f*x)^(1/2)*(c*f - d*e))","B"
1779,1,203,140,1.361854,"\text{Not used}","int((a + b*x)^2/((e + f*x)^(5/2)*(c + d*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2\right)}{{\left(c\,f-d\,e\right)}^{5/2}\,\left(2\,a^2\,d^2-4\,a\,b\,c\,d+2\,b^2\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{\sqrt{d}\,{\left(c\,f-d\,e\right)}^{5/2}}-\frac{\frac{2\,\left(a^2\,f^2-2\,a\,b\,e\,f+b^2\,e^2\right)}{3\,\left(c\,f-d\,e\right)}-\frac{2\,\left(e+f\,x\right)\,\left(d\,a^2\,f^2-2\,c\,a\,b\,f^2-d\,b^2\,e^2+2\,c\,b^2\,e\,f\right)}{{\left(c\,f-d\,e\right)}^2}}{f^2\,{\left(e+f\,x\right)}^{3/2}}","Not used",1,"(2*atan((2*d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2*(c^2*f^2 + d^2*e^2 - 2*c*d*e*f))/((c*f - d*e)^(5/2)*(2*a^2*d^2 + 2*b^2*c^2 - 4*a*b*c*d)))*(a*d - b*c)^2)/(d^(1/2)*(c*f - d*e)^(5/2)) - ((2*(a^2*f^2 + b^2*e^2 - 2*a*b*e*f))/(3*(c*f - d*e)) - (2*(e + f*x)*(a^2*d*f^2 - b^2*d*e^2 - 2*a*b*c*f^2 + 2*b^2*c*e*f))/(c*f - d*e)^2)/(f^2*(e + f*x)^(3/2))","B"
1780,1,264,173,1.409470,"\text{Not used}","int((a + b*x)^2/((e + f*x)^(7/2)*(c + d*x)),x)","-\frac{\frac{2\,\left(a^2\,f^2-2\,a\,b\,e\,f+b^2\,e^2\right)}{5\,\left(c\,f-d\,e\right)}+\frac{2\,{\left(e+f\,x\right)}^2\,\left(a^2\,d^2\,f^2-2\,a\,b\,c\,d\,f^2+b^2\,c^2\,f^2\right)}{{\left(c\,f-d\,e\right)}^3}-\frac{2\,\left(e+f\,x\right)\,\left(d\,a^2\,f^2-2\,c\,a\,b\,f^2-d\,b^2\,e^2+2\,c\,b^2\,e\,f\right)}{3\,{\left(c\,f-d\,e\right)}^2}}{f^2\,{\left(e+f\,x\right)}^{5/2}}-\frac{2\,\sqrt{d}\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2\,\left(c^3\,f^3-3\,c^2\,d\,e\,f^2+3\,c\,d^2\,e^2\,f-d^3\,e^3\right)}{{\left(c\,f-d\,e\right)}^{7/2}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{{\left(c\,f-d\,e\right)}^{7/2}}","Not used",1,"- ((2*(a^2*f^2 + b^2*e^2 - 2*a*b*e*f))/(5*(c*f - d*e)) + (2*(e + f*x)^2*(a^2*d^2*f^2 + b^2*c^2*f^2 - 2*a*b*c*d*f^2))/(c*f - d*e)^3 - (2*(e + f*x)*(a^2*d*f^2 - b^2*d*e^2 - 2*a*b*c*f^2 + 2*b^2*c*e*f))/(3*(c*f - d*e)^2))/(f^2*(e + f*x)^(5/2)) - (2*d^(1/2)*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2*(c^3*f^3 - d^3*e^3 + 3*c*d^2*e^2*f - 3*c^2*d*e*f^2))/((c*f - d*e)^(7/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))*(a*d - b*c)^2)/(c*f - d*e)^(7/2)","B"
1781,1,327,207,1.472823,"\text{Not used}","int((a + b*x)^2/((e + f*x)^(9/2)*(c + d*x)),x)","\frac{2\,d^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^2\,\left(c^4\,f^4-4\,c^3\,d\,e\,f^3+6\,c^2\,d^2\,e^2\,f^2-4\,c\,d^3\,e^3\,f+d^4\,e^4\right)}{{\left(c\,f-d\,e\right)}^{9/2}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{{\left(c\,f-d\,e\right)}^{9/2}}-\frac{\frac{2\,\left(a^2\,f^2-2\,a\,b\,e\,f+b^2\,e^2\right)}{7\,\left(c\,f-d\,e\right)}+\frac{2\,{\left(e+f\,x\right)}^2\,\left(a^2\,d^2\,f^2-2\,a\,b\,c\,d\,f^2+b^2\,c^2\,f^2\right)}{3\,{\left(c\,f-d\,e\right)}^3}-\frac{2\,\left(e+f\,x\right)\,\left(d\,a^2\,f^2-2\,c\,a\,b\,f^2-d\,b^2\,e^2+2\,c\,b^2\,e\,f\right)}{5\,{\left(c\,f-d\,e\right)}^2}-\frac{2\,d\,{\left(e+f\,x\right)}^3\,\left(a^2\,d^2\,f^2-2\,a\,b\,c\,d\,f^2+b^2\,c^2\,f^2\right)}{{\left(c\,f-d\,e\right)}^4}}{f^2\,{\left(e+f\,x\right)}^{7/2}}","Not used",1,"(2*d^(3/2)*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^2*(c^4*f^4 + d^4*e^4 + 6*c^2*d^2*e^2*f^2 - 4*c*d^3*e^3*f - 4*c^3*d*e*f^3))/((c*f - d*e)^(9/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))*(a*d - b*c)^2)/(c*f - d*e)^(9/2) - ((2*(a^2*f^2 + b^2*e^2 - 2*a*b*e*f))/(7*(c*f - d*e)) + (2*(e + f*x)^2*(a^2*d^2*f^2 + b^2*c^2*f^2 - 2*a*b*c*d*f^2))/(3*(c*f - d*e)^3) - (2*(e + f*x)*(a^2*d*f^2 - b^2*d*e^2 - 2*a*b*c*f^2 + 2*b^2*c*e*f))/(5*(c*f - d*e)^2) - (2*d*(e + f*x)^3*(a^2*d^2*f^2 + b^2*c^2*f^2 - 2*a*b*c*d*f^2))/(c*f - d*e)^4)/(f^2*(e + f*x)^(7/2))","B"
1782,1,897,280,0.164226,"\text{Not used}","int(((e + f*x)^(5/2)*(a + b*x)^3)/(c + d*x),x)","{\left(e+f\,x\right)}^{7/2}\,\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{7\,d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{7\,d\,f^3}\right)-{\left(e+f\,x\right)}^{9/2}\,\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{9\,d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{9\,d^2\,f^6}\right)+{\left(e+f\,x\right)}^{5/2}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^3}{5\,d\,f^3}-\frac{\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{5\,d\,f^3}\right)+\frac{2\,b^3\,{\left(e+f\,x\right)}^{11/2}}{11\,d\,f^3}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,{\left(c\,f-d\,e\right)}^{5/2}}{-a^3\,c^3\,d^3\,f^3+3\,a^3\,c^2\,d^4\,e\,f^2-3\,a^3\,c\,d^5\,e^2\,f+a^3\,d^6\,e^3+3\,a^2\,b\,c^4\,d^2\,f^3-9\,a^2\,b\,c^3\,d^3\,e\,f^2+9\,a^2\,b\,c^2\,d^4\,e^2\,f-3\,a^2\,b\,c\,d^5\,e^3-3\,a\,b^2\,c^5\,d\,f^3+9\,a\,b^2\,c^4\,d^2\,e\,f^2-9\,a\,b^2\,c^3\,d^3\,e^2\,f+3\,a\,b^2\,c^2\,d^4\,e^3+b^3\,c^6\,f^3-3\,b^3\,c^5\,d\,e\,f^2+3\,b^3\,c^4\,d^2\,e^2\,f-b^3\,c^3\,d^3\,e^3}\right)\,{\left(a\,d-b\,c\right)}^3\,{\left(c\,f-d\,e\right)}^{5/2}}{d^{13/2}}-\frac{{\left(e+f\,x\right)}^{3/2}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^3}{d\,f^3}-\frac{\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{3\,d\,f^3}+\frac{\sqrt{e+f\,x}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^3}{d\,f^3}-\frac{\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}\right)\,{\left(c\,f^4-d\,e\,f^3\right)}^2}{d^2\,f^6}","Not used",1,"(e + f*x)^(7/2)*((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(7*d*f^3) + (6*b*(a*f - b*e)^2)/(7*d*f^3)) - (e + f*x)^(9/2)*((6*b^3*e - 6*a*b^2*f)/(9*d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(9*d^2*f^6)) + (e + f*x)^(5/2)*((2*(a*f - b*e)^3)/(5*d*f^3) - (((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3))*(c*f^4 - d*e*f^3))/(5*d*f^3)) + (2*b^3*(e + f*x)^(11/2))/(11*d*f^3) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^3*(c*f - d*e)^(5/2))/(a^3*d^6*e^3 + b^3*c^6*f^3 - a^3*c^3*d^3*f^3 - b^3*c^3*d^3*e^3 - 3*a^2*b*c*d^5*e^3 - 3*a*b^2*c^5*d*f^3 - 3*a^3*c*d^5*e^2*f - 3*b^3*c^5*d*e*f^2 + 3*a*b^2*c^2*d^4*e^3 + 3*a^2*b*c^4*d^2*f^3 + 3*a^3*c^2*d^4*e*f^2 + 3*b^3*c^4*d^2*e^2*f - 9*a*b^2*c^3*d^3*e^2*f + 9*a*b^2*c^4*d^2*e*f^2 + 9*a^2*b*c^2*d^4*e^2*f - 9*a^2*b*c^3*d^3*e*f^2))*(a*d - b*c)^3*(c*f - d*e)^(5/2))/d^(13/2) - ((e + f*x)^(3/2)*((2*(a*f - b*e)^3)/(d*f^3) - (((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3))*(c*f^4 - d*e*f^3))/(d*f^3))*(c*f^4 - d*e*f^3))/(3*d*f^3) + ((e + f*x)^(1/2)*((2*(a*f - b*e)^3)/(d*f^3) - (((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3))*(c*f^4 - d*e*f^3))/(d*f^3))*(c*f^4 - d*e*f^3)^2)/(d^2*f^6)","B"
1783,1,672,244,1.277415,"\text{Not used}","int(((e + f*x)^(3/2)*(a + b*x)^3)/(c + d*x),x)","{\left(e+f\,x\right)}^{5/2}\,\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{5\,d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{5\,d\,f^3}\right)-{\left(e+f\,x\right)}^{7/2}\,\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{7\,d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{7\,d^2\,f^6}\right)+{\left(e+f\,x\right)}^{3/2}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^3}{3\,d\,f^3}-\frac{\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{3\,d\,f^3}\right)+\frac{2\,b^3\,{\left(e+f\,x\right)}^{9/2}}{9\,d\,f^3}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,{\left(c\,f-d\,e\right)}^{3/2}}{a^3\,c^2\,d^3\,f^2-2\,a^3\,c\,d^4\,e\,f+a^3\,d^5\,e^2-3\,a^2\,b\,c^3\,d^2\,f^2+6\,a^2\,b\,c^2\,d^3\,e\,f-3\,a^2\,b\,c\,d^4\,e^2+3\,a\,b^2\,c^4\,d\,f^2-6\,a\,b^2\,c^3\,d^2\,e\,f+3\,a\,b^2\,c^2\,d^3\,e^2-b^3\,c^5\,f^2+2\,b^3\,c^4\,d\,e\,f-b^3\,c^3\,d^2\,e^2}\right)\,{\left(a\,d-b\,c\right)}^3\,{\left(c\,f-d\,e\right)}^{3/2}}{d^{11/2}}-\frac{\sqrt{e+f\,x}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^3}{d\,f^3}-\frac{\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}","Not used",1,"(e + f*x)^(5/2)*((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(5*d*f^3) + (6*b*(a*f - b*e)^2)/(5*d*f^3)) - (e + f*x)^(7/2)*((6*b^3*e - 6*a*b^2*f)/(7*d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(7*d^2*f^6)) + (e + f*x)^(3/2)*((2*(a*f - b*e)^3)/(3*d*f^3) - (((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3))*(c*f^4 - d*e*f^3))/(3*d*f^3)) + (2*b^3*(e + f*x)^(9/2))/(9*d*f^3) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^3*(c*f - d*e)^(3/2))/(a^3*d^5*e^2 - b^3*c^5*f^2 + a^3*c^2*d^3*f^2 - b^3*c^3*d^2*e^2 - 2*a^3*c*d^4*e*f + 2*b^3*c^4*d*e*f - 3*a^2*b*c*d^4*e^2 + 3*a*b^2*c^4*d*f^2 + 3*a*b^2*c^2*d^3*e^2 - 3*a^2*b*c^3*d^2*f^2 - 6*a*b^2*c^3*d^2*e*f + 6*a^2*b*c^2*d^3*e*f))*(a*d - b*c)^3*(c*f - d*e)^(3/2))/d^(11/2) - ((e + f*x)^(1/2)*((2*(a*f - b*e)^3)/(d*f^3) - (((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3))*(c*f^4 - d*e*f^3))/(d*f^3))*(c*f^4 - d*e*f^3))/(d*f^3)","B"
1784,1,451,210,0.142791,"\text{Not used}","int(((e + f*x)^(1/2)*(a + b*x)^3)/(c + d*x),x)","{\left(e+f\,x\right)}^{3/2}\,\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{3\,d\,f^3}+\frac{2\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)-{\left(e+f\,x\right)}^{5/2}\,\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{5\,d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{5\,d^2\,f^6}\right)+\sqrt{e+f\,x}\,\left(\frac{2\,{\left(a\,f-b\,e\right)}^3}{d\,f^3}-\frac{\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}\right)+\frac{2\,b^3\,{\left(e+f\,x\right)}^{7/2}}{7\,d\,f^3}+\frac{\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,\sqrt{d\,e-c\,f}\,1{}\mathrm{i}}{-f\,a^3\,c\,d^3+e\,a^3\,d^4+3\,f\,a^2\,b\,c^2\,d^2-3\,e\,a^2\,b\,c\,d^3-3\,f\,a\,b^2\,c^3\,d+3\,e\,a\,b^2\,c^2\,d^2+f\,b^3\,c^4-e\,b^3\,c^3\,d}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{d\,e-c\,f}\,2{}\mathrm{i}}{d^{9/2}}","Not used",1,"(e + f*x)^(3/2)*((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(3*d*f^3) + (2*b*(a*f - b*e)^2)/(d*f^3)) - (e + f*x)^(5/2)*((6*b^3*e - 6*a*b^2*f)/(5*d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(5*d^2*f^6)) + (e + f*x)^(1/2)*((2*(a*f - b*e)^3)/(d*f^3) - (((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3))*(c*f^4 - d*e*f^3))/(d*f^3)) + (2*b^3*(e + f*x)^(7/2))/(7*d*f^3) + (atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^3*(d*e - c*f)^(1/2)*1i)/(a^3*d^4*e + b^3*c^4*f - a^3*c*d^3*f - b^3*c^3*d*e - 3*a^2*b*c*d^3*e - 3*a*b^2*c^3*d*f + 3*a*b^2*c^2*d^2*e + 3*a^2*b*c^2*d^2*f))*(a*d - b*c)^3*(d*e - c*f)^(1/2)*2i)/d^(9/2)","B"
1785,1,264,184,0.097801,"\text{Not used}","int((a + b*x)^3/((e + f*x)^(1/2)*(c + d*x)),x)","\sqrt{e+f\,x}\,\left(\frac{\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)\,\left(c\,f^4-d\,e\,f^3\right)}{d\,f^3}+\frac{6\,b\,{\left(a\,f-b\,e\right)}^2}{d\,f^3}\right)-{\left(e+f\,x\right)}^{3/2}\,\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{3\,d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{3\,d^2\,f^6}\right)+\frac{2\,b^3\,{\left(e+f\,x\right)}^{5/2}}{5\,d\,f^3}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3}{\sqrt{c\,f-d\,e}\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{d^{7/2}\,\sqrt{c\,f-d\,e}}","Not used",1,"(e + f*x)^(1/2)*((((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6))*(c*f^4 - d*e*f^3))/(d*f^3) + (6*b*(a*f - b*e)^2)/(d*f^3)) - (e + f*x)^(3/2)*((6*b^3*e - 6*a*b^2*f)/(3*d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(3*d^2*f^6)) + (2*b^3*(e + f*x)^(5/2))/(5*d*f^3) + (2*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^3)/((c*f - d*e)^(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)^3)/(d^(7/2)*(c*f - d*e)^(1/2))","B"
1786,1,257,149,1.316212,"\text{Not used}","int((a + b*x)^3/((e + f*x)^(3/2)*(c + d*x)),x)","\frac{2\,b^3\,{\left(e+f\,x\right)}^{3/2}}{3\,d\,f^3}-\sqrt{e+f\,x}\,\left(\frac{6\,b^3\,e-6\,a\,b^2\,f}{d\,f^3}+\frac{2\,b^3\,\left(c\,f^4-d\,e\,f^3\right)}{d^2\,f^6}\right)+\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,\left(d^3\,e-c\,d^2\,f\right)}{d^{3/2}\,{\left(c\,f-d\,e\right)}^{3/2}\,\left(2\,a^3\,d^3-6\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{d^{5/2}\,{\left(c\,f-d\,e\right)}^{3/2}}-\frac{2\,\left(a^3\,d^2\,f^3-3\,a^2\,b\,d^2\,e\,f^2+3\,a\,b^2\,d^2\,e^2\,f-b^3\,d^2\,e^3\right)}{d^2\,f^3\,\sqrt{e+f\,x}\,\left(c\,f-d\,e\right)}","Not used",1,"(2*b^3*(e + f*x)^(3/2))/(3*d*f^3) - (e + f*x)^(1/2)*((6*b^3*e - 6*a*b^2*f)/(d*f^3) + (2*b^3*(c*f^4 - d*e*f^3))/(d^2*f^6)) + (2*atan((2*(e + f*x)^(1/2)*(a*d - b*c)^3*(d^3*e - c*d^2*f))/(d^(3/2)*(c*f - d*e)^(3/2)*(2*a^3*d^3 - 2*b^3*c^3 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2)))*(a*d - b*c)^3)/(d^(5/2)*(c*f - d*e)^(3/2)) - (2*(a^3*d^2*f^3 - b^3*d^2*e^3 + 3*a*b^2*d^2*e^2*f - 3*a^2*b*d^2*e*f^2))/(d^2*f^3*(e + f*x)^(1/2)*(c*f - d*e))","B"
1787,1,295,163,0.207556,"\text{Not used}","int((a + b*x)^3/((e + f*x)^(5/2)*(c + d*x)),x)","\frac{2\,b^3\,\sqrt{e+f\,x}}{d\,f^3}-\frac{\frac{2\,\left(d\,a^3\,f^3-3\,d\,a^2\,b\,e\,f^2+3\,d\,a\,b^2\,e^2\,f-d\,b^3\,e^3\right)}{3\,\left(c\,f-d\,e\right)}-\frac{2\,\left(e+f\,x\right)\,\left(a^3\,d^2\,f^3-3\,c\,a^2\,b\,d\,f^3-3\,a\,b^2\,d^2\,e^2\,f+6\,c\,a\,b^2\,d\,e\,f^2+2\,b^3\,d^2\,e^3-3\,c\,b^3\,d\,e^2\,f\right)}{{\left(c\,f-d\,e\right)}^2}}{d\,f^3\,{\left(e+f\,x\right)}^{3/2}}+\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,\left(c^2\,d\,f^2-2\,c\,d^2\,e\,f+d^3\,e^2\right)}{\sqrt{d}\,{\left(c\,f-d\,e\right)}^{5/2}\,\left(2\,a^3\,d^3-6\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{d^{3/2}\,{\left(c\,f-d\,e\right)}^{5/2}}","Not used",1,"(2*b^3*(e + f*x)^(1/2))/(d*f^3) - ((2*(a^3*d*f^3 - b^3*d*e^3 + 3*a*b^2*d*e^2*f - 3*a^2*b*d*e*f^2))/(3*(c*f - d*e)) - (2*(e + f*x)*(a^3*d^2*f^3 + 2*b^3*d^2*e^3 - 3*a^2*b*c*d*f^3 - 3*b^3*c*d*e^2*f - 3*a*b^2*d^2*e^2*f + 6*a*b^2*c*d*e*f^2))/(c*f - d*e)^2)/(d*f^3*(e + f*x)^(3/2)) + (2*atan((2*(e + f*x)^(1/2)*(a*d - b*c)^3*(d^3*e^2 + c^2*d*f^2 - 2*c*d^2*e*f))/(d^(1/2)*(c*f - d*e)^(5/2)*(2*a^3*d^3 - 2*b^3*c^3 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2)))*(a*d - b*c)^3)/(d^(3/2)*(c*f - d*e)^(5/2))","B"
1788,1,360,227,1.481798,"\text{Not used}","int((a + b*x)^3/((e + f*x)^(7/2)*(c + d*x)),x)","-\frac{\frac{2\,\left(a^3\,f^3-3\,a^2\,b\,e\,f^2+3\,a\,b^2\,e^2\,f-b^3\,e^3\right)}{5\,\left(c\,f-d\,e\right)}+\frac{2\,{\left(e+f\,x\right)}^2\,\left(a^3\,d^2\,f^3-3\,a^2\,b\,c\,d\,f^3+3\,a\,b^2\,c^2\,f^3-3\,b^3\,c^2\,e\,f^2+3\,b^3\,c\,d\,e^2\,f-b^3\,d^2\,e^3\right)}{{\left(c\,f-d\,e\right)}^3}-\frac{2\,\left(e+f\,x\right)\,\left(d\,a^3\,f^3-3\,c\,a^2\,b\,f^3-3\,d\,a\,b^2\,e^2\,f+6\,c\,a\,b^2\,e\,f^2+2\,d\,b^3\,e^3-3\,c\,b^3\,e^2\,f\right)}{3\,{\left(c\,f-d\,e\right)}^2}}{f^3\,{\left(e+f\,x\right)}^{5/2}}-\frac{2\,\mathrm{atan}\left(\frac{2\,\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,\left(c^3\,f^3-3\,c^2\,d\,e\,f^2+3\,c\,d^2\,e^2\,f-d^3\,e^3\right)}{{\left(c\,f-d\,e\right)}^{7/2}\,\left(2\,a^3\,d^3-6\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-2\,b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{\sqrt{d}\,{\left(c\,f-d\,e\right)}^{7/2}}","Not used",1,"- ((2*(a^3*f^3 - b^3*e^3 + 3*a*b^2*e^2*f - 3*a^2*b*e*f^2))/(5*(c*f - d*e)) + (2*(e + f*x)^2*(a^3*d^2*f^3 - b^3*d^2*e^3 + 3*a*b^2*c^2*f^3 - 3*b^3*c^2*e*f^2 - 3*a^2*b*c*d*f^3 + 3*b^3*c*d*e^2*f))/(c*f - d*e)^3 - (2*(e + f*x)*(a^3*d*f^3 + 2*b^3*d*e^3 - 3*a^2*b*c*f^3 - 3*b^3*c*e^2*f + 6*a*b^2*c*e*f^2 - 3*a*b^2*d*e^2*f))/(3*(c*f - d*e)^2))/(f^3*(e + f*x)^(5/2)) - (2*atan((2*d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^3*(c^3*f^3 - d^3*e^3 + 3*c*d^2*e^2*f - 3*c^2*d*e*f^2))/((c*f - d*e)^(7/2)*(2*a^3*d^3 - 2*b^3*c^3 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2)))*(a*d - b*c)^3)/(d^(1/2)*(c*f - d*e)^(7/2))","B"
1789,1,438,260,1.571734,"\text{Not used}","int((a + b*x)^3/((e + f*x)^(9/2)*(c + d*x)),x)","\frac{2\,\sqrt{d}\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,{\left(a\,d-b\,c\right)}^3\,\left(c^4\,f^4-4\,c^3\,d\,e\,f^3+6\,c^2\,d^2\,e^2\,f^2-4\,c\,d^3\,e^3\,f+d^4\,e^4\right)}{{\left(c\,f-d\,e\right)}^{9/2}\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)\,{\left(a\,d-b\,c\right)}^3}{{\left(c\,f-d\,e\right)}^{9/2}}-\frac{\frac{2\,\left(a^3\,f^3-3\,a^2\,b\,e\,f^2+3\,a\,b^2\,e^2\,f-b^3\,e^3\right)}{7\,\left(c\,f-d\,e\right)}-\frac{2\,{\left(e+f\,x\right)}^3\,\left(a^3\,d^3\,f^3-3\,a^2\,b\,c\,d^2\,f^3+3\,a\,b^2\,c^2\,d\,f^3-b^3\,c^3\,f^3\right)}{{\left(c\,f-d\,e\right)}^4}+\frac{2\,{\left(e+f\,x\right)}^2\,\left(a^3\,d^2\,f^3-3\,a^2\,b\,c\,d\,f^3+3\,a\,b^2\,c^2\,f^3-3\,b^3\,c^2\,e\,f^2+3\,b^3\,c\,d\,e^2\,f-b^3\,d^2\,e^3\right)}{3\,{\left(c\,f-d\,e\right)}^3}-\frac{2\,\left(e+f\,x\right)\,\left(d\,a^3\,f^3-3\,c\,a^2\,b\,f^3-3\,d\,a\,b^2\,e^2\,f+6\,c\,a\,b^2\,e\,f^2+2\,d\,b^3\,e^3-3\,c\,b^3\,e^2\,f\right)}{5\,{\left(c\,f-d\,e\right)}^2}}{f^3\,{\left(e+f\,x\right)}^{7/2}}","Not used",1,"(2*d^(1/2)*atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)^3*(c^4*f^4 + d^4*e^4 + 6*c^2*d^2*e^2*f^2 - 4*c*d^3*e^3*f - 4*c^3*d*e*f^3))/((c*f - d*e)^(9/2)*(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)^3)/(c*f - d*e)^(9/2) - ((2*(a^3*f^3 - b^3*e^3 + 3*a*b^2*e^2*f - 3*a^2*b*e*f^2))/(7*(c*f - d*e)) - (2*(e + f*x)^3*(a^3*d^3*f^3 - b^3*c^3*f^3 + 3*a*b^2*c^2*d*f^3 - 3*a^2*b*c*d^2*f^3))/(c*f - d*e)^4 + (2*(e + f*x)^2*(a^3*d^2*f^3 - b^3*d^2*e^3 + 3*a*b^2*c^2*f^3 - 3*b^3*c^2*e*f^2 - 3*a^2*b*c*d*f^3 + 3*b^3*c*d*e^2*f))/(3*(c*f - d*e)^3) - (2*(e + f*x)*(a^3*d*f^3 + 2*b^3*d*e^3 - 3*a^2*b*c*f^3 - 3*b^3*c*e^2*f + 6*a*b^2*c*e*f^2 - 3*a*b^2*d*e^2*f))/(5*(c*f - d*e)^2))/(f^3*(e + f*x)^(7/2))","B"
1790,1,73,105,1.206866,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^6*(5*x + 3),x)","\frac{3916031\,{\left(1-2\,x\right)}^{5/2}}{640}-\frac{1294139\,{\left(1-2\,x\right)}^{3/2}}{384}-\frac{725445\,{\left(1-2\,x\right)}^{7/2}}{128}+\frac{406455\,{\left(1-2\,x\right)}^{9/2}}{128}-\frac{1580985\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{409941\,{\left(1-2\,x\right)}^{13/2}}{1664}-\frac{19683\,{\left(1-2\,x\right)}^{15/2}}{640}+\frac{3645\,{\left(1-2\,x\right)}^{17/2}}{2176}","Not used",1,"(3916031*(1 - 2*x)^(5/2))/640 - (1294139*(1 - 2*x)^(3/2))/384 - (725445*(1 - 2*x)^(7/2))/128 + (406455*(1 - 2*x)^(9/2))/128 - (1580985*(1 - 2*x)^(11/2))/1408 + (409941*(1 - 2*x)^(13/2))/1664 - (19683*(1 - 2*x)^(15/2))/640 + (3645*(1 - 2*x)^(17/2))/2176","B"
1791,1,64,92,0.029204,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^5*(5*x + 3),x)","\frac{12005\,{\left(1-2\,x\right)}^{5/2}}{8}-\frac{184877\,{\left(1-2\,x\right)}^{3/2}}{192}-\frac{74235\,{\left(1-2\,x\right)}^{7/2}}{64}+\frac{4165\,{\left(1-2\,x\right)}^{9/2}}{8}-\frac{97335\,{\left(1-2\,x\right)}^{11/2}}{704}+\frac{81\,{\left(1-2\,x\right)}^{13/2}}{4}-\frac{81\,{\left(1-2\,x\right)}^{15/2}}{64}","Not used",1,"(12005*(1 - 2*x)^(5/2))/8 - (184877*(1 - 2*x)^(3/2))/192 - (74235*(1 - 2*x)^(7/2))/64 + (4165*(1 - 2*x)^(9/2))/8 - (97335*(1 - 2*x)^(11/2))/704 + (81*(1 - 2*x)^(13/2))/4 - (81*(1 - 2*x)^(15/2))/64","B"
1792,1,55,79,0.027510,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3),x)","\frac{57281\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{26411\,{\left(1-2\,x\right)}^{3/2}}{96}-\frac{3549\,{\left(1-2\,x\right)}^{7/2}}{16}+\frac{1197\,{\left(1-2\,x\right)}^{9/2}}{16}-\frac{4671\,{\left(1-2\,x\right)}^{11/2}}{352}+\frac{405\,{\left(1-2\,x\right)}^{13/2}}{416}","Not used",1,"(57281*(1 - 2*x)^(5/2))/160 - (26411*(1 - 2*x)^(3/2))/96 - (3549*(1 - 2*x)^(7/2))/16 + (1197*(1 - 2*x)^(9/2))/16 - (4671*(1 - 2*x)^(11/2))/352 + (405*(1 - 2*x)^(13/2))/416","B"
1793,1,46,66,0.025469,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3),x)","\frac{3283\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{3773\,{\left(1-2\,x\right)}^{3/2}}{48}-\frac{153\,{\left(1-2\,x\right)}^{7/2}}{4}+\frac{69\,{\left(1-2\,x\right)}^{9/2}}{8}-\frac{135\,{\left(1-2\,x\right)}^{11/2}}{176}","Not used",1,"(3283*(1 - 2*x)^(5/2))/40 - (3773*(1 - 2*x)^(3/2))/48 - (153*(1 - 2*x)^(7/2))/4 + (69*(1 - 2*x)^(9/2))/8 - (135*(1 - 2*x)^(11/2))/176","B"
1794,1,37,53,0.036442,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3),x)","\frac{707\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{539\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{309\,{\left(1-2\,x\right)}^{7/2}}{56}+\frac{5\,{\left(1-2\,x\right)}^{9/2}}{8}","Not used",1,"(707*(1 - 2*x)^(5/2))/40 - (539*(1 - 2*x)^(3/2))/24 - (309*(1 - 2*x)^(7/2))/56 + (5*(1 - 2*x)^(9/2))/8","B"
1795,1,23,40,0.044456,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3),x)","-\frac{{\left(1-2\,x\right)}^{3/2}\,\left(2856\,x+225\,{\left(2\,x-1\right)}^2+1267\right)}{420}","Not used",1,"-((1 - 2*x)^(3/2)*(2856*x + 225*(2*x - 1)^2 + 1267))/420","B"
1796,1,12,27,0.023998,"\text{Not used}","int((1 - 2*x)^(1/2)*(5*x + 3),x)","-{\left(1-2\,x\right)}^{3/2}\,\left(x+\frac{4}{3}\right)","Not used",1,"-(1 - 2*x)^(3/2)*(x + 4/3)","B"
1797,1,37,56,1.212511,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3))/(3*x + 2),x)","\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{27}-\frac{2\,\sqrt{1-2\,x}}{9}-\frac{5\,{\left(1-2\,x\right)}^{3/2}}{9}","Not used",1,"(2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/27 - (2*(1 - 2*x)^(1/2))/9 - (5*(1 - 2*x)^(3/2))/9","B"
1798,1,44,59,0.059030,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3))/(3*x + 2)^2,x)","\frac{2\,\sqrt{1-2\,x}}{27\,\left(2\,x+\frac{4}{3}\right)}-\frac{8\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21}+\frac{10\,\sqrt{1-2\,x}}{9}","Not used",1,"(2*(1 - 2*x)^(1/2))/(27*(2*x + 4/3)) - (8*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21 + (10*(1 - 2*x)^(1/2))/9","B"
1799,1,54,68,0.064099,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3))/(3*x + 2)^3,x)","\frac{23\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{441}-\frac{\frac{23\,\sqrt{1-2\,x}}{27}-\frac{71\,{\left(1-2\,x\right)}^{3/2}}{189}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(23*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/441 - ((23*(1 - 2*x)^(1/2))/27 - (71*(1 - 2*x)^(3/2))/189)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1800,1,71,88,1.192940,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3))/(3*x + 2)^4,x)","\frac{34\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9261}+\frac{\frac{8\,{\left(1-2\,x\right)}^{3/2}}{1701}-\frac{34\,\sqrt{1-2\,x}}{243}+\frac{34\,{\left(1-2\,x\right)}^{5/2}}{1323}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(34*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9261 + ((8*(1 - 2*x)^(3/2))/1701 - (34*(1 - 2*x)^(1/2))/243 + (34*(1 - 2*x)^(5/2))/1323)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1801,1,90,110,0.079870,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3))/(3*x + 2)^5,x)","\frac{5\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9604}-\frac{\frac{5\,\sqrt{1-2\,x}}{108}+\frac{209\,{\left(1-2\,x\right)}^{3/2}}{6804}-\frac{55\,{\left(1-2\,x\right)}^{5/2}}{1764}+\frac{5\,{\left(1-2\,x\right)}^{7/2}}{1372}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(5*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9604 - ((5*(1 - 2*x)^(1/2))/108 + (209*(1 - 2*x)^(3/2))/6804 - (55*(1 - 2*x)^(5/2))/1764 + (5*(1 - 2*x)^(7/2))/1372)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1802,1,108,128,1.197511,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3))/(3*x + 2)^6,x)","\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}-\frac{\frac{14\,\sqrt{1-2\,x}}{729}+\frac{52\,{\left(1-2\,x\right)}^{3/2}}{1701}-\frac{256\,{\left(1-2\,x\right)}^{5/2}}{8505}+\frac{4\,{\left(1-2\,x\right)}^{7/2}}{567}-\frac{2\,{\left(1-2\,x\right)}^{9/2}}{3087}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609 - ((14*(1 - 2*x)^(1/2))/729 + (52*(1 - 2*x)^(3/2))/1701 - (256*(1 - 2*x)^(5/2))/8505 + (4*(1 - 2*x)^(7/2))/567 - (2*(1 - 2*x)^(9/2))/3087)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1803,1,64,92,1.176423,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^2,x)","\frac{381073\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{290521\,{\left(1-2\,x\right)}^{3/2}}{192}-\frac{118993\,{\left(1-2\,x\right)}^{7/2}}{64}+\frac{40453\,{\left(1-2\,x\right)}^{9/2}}{48}-\frac{159111\,{\left(1-2\,x\right)}^{11/2}}{704}+\frac{13905\,{\left(1-2\,x\right)}^{13/2}}{416}-\frac{135\,{\left(1-2\,x\right)}^{15/2}}{64}","Not used",1,"(381073*(1 - 2*x)^(5/2))/160 - (290521*(1 - 2*x)^(3/2))/192 - (118993*(1 - 2*x)^(7/2))/64 + (40453*(1 - 2*x)^(9/2))/48 - (159111*(1 - 2*x)^(11/2))/704 + (13905*(1 - 2*x)^(13/2))/416 - (135*(1 - 2*x)^(15/2))/64","B"
1804,1,55,79,0.026747,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^2,x)","\frac{91091\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{41503\,{\left(1-2\,x\right)}^{3/2}}{96}-\frac{5711\,{\left(1-2\,x\right)}^{7/2}}{16}+\frac{1949\,{\left(1-2\,x\right)}^{9/2}}{16}-\frac{7695\,{\left(1-2\,x\right)}^{11/2}}{352}+\frac{675\,{\left(1-2\,x\right)}^{13/2}}{416}","Not used",1,"(91091*(1 - 2*x)^(5/2))/160 - (41503*(1 - 2*x)^(3/2))/96 - (5711*(1 - 2*x)^(7/2))/16 + (1949*(1 - 2*x)^(9/2))/16 - (7695*(1 - 2*x)^(11/2))/352 + (675*(1 - 2*x)^(13/2))/416","B"
1805,1,46,66,0.024256,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^2,x)","\frac{1309\,{\left(1-2\,x\right)}^{5/2}}{10}-\frac{5929\,{\left(1-2\,x\right)}^{3/2}}{48}-\frac{3467\,{\left(1-2\,x\right)}^{7/2}}{56}+\frac{85\,{\left(1-2\,x\right)}^{9/2}}{6}-\frac{225\,{\left(1-2\,x\right)}^{11/2}}{176}","Not used",1,"(1309*(1 - 2*x)^(5/2))/10 - (5929*(1 - 2*x)^(3/2))/48 - (3467*(1 - 2*x)^(7/2))/56 + (85*(1 - 2*x)^(9/2))/6 - (225*(1 - 2*x)^(11/2))/176","B"
1806,1,37,53,0.036311,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^2,x)","\frac{1133\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{847\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{505\,{\left(1-2\,x\right)}^{7/2}}{56}+\frac{25\,{\left(1-2\,x\right)}^{9/2}}{24}","Not used",1,"(1133*(1 - 2*x)^(5/2))/40 - (847*(1 - 2*x)^(3/2))/24 - (505*(1 - 2*x)^(7/2))/56 + (25*(1 - 2*x)^(9/2))/24","B"
1807,1,23,40,0.031708,"\text{Not used}","int((1 - 2*x)^(1/2)*(5*x + 3)^2,x)","-\frac{{\left(1-2\,x\right)}^{3/2}\,\left(924\,x+75\,{\left(2\,x-1\right)}^2+385\right)}{84}","Not used",1,"-((1 - 2*x)^(3/2)*(924*x + 75*(2*x - 1)^2 + 385))/84","B"
1808,1,48,69,0.069334,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2),x)","\frac{2\,\sqrt{1-2\,x}}{27}-\frac{155\,{\left(1-2\,x\right)}^{3/2}}{54}+\frac{5\,{\left(1-2\,x\right)}^{5/2}}{6}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,2{}\mathrm{i}}{81}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*2i)/81 + (2*(1 - 2*x)^(1/2))/27 - (155*(1 - 2*x)^(3/2))/54 + (5*(1 - 2*x)^(5/2))/6","B"
1809,1,55,74,1.190478,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2)^2,x)","-\frac{2\,\sqrt{1-2\,x}}{81\,\left(2\,x+\frac{4}{3}\right)}-\frac{20\,\sqrt{1-2\,x}}{27}-\frac{25\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,142{}\mathrm{i}}{567}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*142i)/567 - (2*(1 - 2*x)^(1/2))/(81*(2*x + 4/3)) - (20*(1 - 2*x)^(1/2))/27 - (25*(1 - 2*x)^(3/2))/27","B"
1810,1,62,81,0.058868,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2)^3,x)","\frac{50\,\sqrt{1-2\,x}}{27}-\frac{863\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1323}+\frac{\frac{139\,\sqrt{1-2\,x}}{243}-\frac{47\,{\left(1-2\,x\right)}^{3/2}}{189}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(50*(1 - 2*x)^(1/2))/27 - (863*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1323 + ((139*(1 - 2*x)^(1/2))/243 - (47*(1 - 2*x)^(3/2))/189)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1811,1,72,88,1.197632,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2)^4,x)","\frac{2381\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{27783}-\frac{\frac{2381\,\sqrt{1-2\,x}}{729}-\frac{14692\,{\left(1-2\,x\right)}^{3/2}}{5103}+\frac{2519\,{\left(1-2\,x\right)}^{5/2}}{3969}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(2381*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/27783 - ((2381*(1 - 2*x)^(1/2))/729 - (14692*(1 - 2*x)^(3/2))/5103 + (2519*(1 - 2*x)^(5/2))/3969)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1812,1,90,108,1.204599,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2)^5,x)","\frac{4625\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{777924}-\frac{\frac{4625\,\sqrt{1-2\,x}}{8748}-\frac{16027\,{\left(1-2\,x\right)}^{3/2}}{61236}-\frac{11675\,{\left(1-2\,x\right)}^{5/2}}{142884}+\frac{4625\,{\left(1-2\,x\right)}^{7/2}}{111132}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(4625*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/777924 - ((4625*(1 - 2*x)^(1/2))/8748 - (16027*(1 - 2*x)^(3/2))/61236 - (11675*(1 - 2*x)^(5/2))/142884 + (4625*(1 - 2*x)^(7/2))/111132)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1813,1,108,128,0.070096,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2)^6,x)","\frac{31\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{37044}-\frac{\frac{1519\,\sqrt{1-2\,x}}{8748}+\frac{983\,{\left(1-2\,x\right)}^{3/2}}{30618}-\frac{592\,{\left(1-2\,x\right)}^{5/2}}{3645}+\frac{31\,{\left(1-2\,x\right)}^{7/2}}{486}-\frac{31\,{\left(1-2\,x\right)}^{9/2}}{5292}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(31*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/37044 - ((1519*(1 - 2*x)^(1/2))/8748 + (983*(1 - 2*x)^(3/2))/30618 - (592*(1 - 2*x)^(5/2))/3645 + (31*(1 - 2*x)^(7/2))/486 - (31*(1 - 2*x)^(9/2))/5292)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1814,1,126,148,0.081724,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^2)/(3*x + 2)^7,x)","\frac{1613\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{10890936}-\frac{\frac{11291\,\sqrt{1-2\,x}}{157464}+\frac{86837\,{\left(1-2\,x\right)}^{3/2}}{1102248}-\frac{4213\,{\left(1-2\,x\right)}^{5/2}}{26460}+\frac{17743\,{\left(1-2\,x\right)}^{7/2}}{238140}-\frac{27421\,{\left(1-2\,x\right)}^{9/2}}{2000376}+\frac{1613\,{\left(1-2\,x\right)}^{11/2}}{1555848}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}","Not used",1,"(1613*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/10890936 - ((11291*(1 - 2*x)^(1/2))/157464 + (86837*(1 - 2*x)^(3/2))/1102248 - (4213*(1 - 2*x)^(5/2))/26460 + (17743*(1 - 2*x)^(7/2))/238140 - (27421*(1 - 2*x)^(9/2))/2000376 + (1613*(1 - 2*x)^(11/2))/1555848)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729)","B"
1815,1,73,105,0.035158,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^3,x)","\frac{9836211\,{\left(1-2\,x\right)}^{5/2}}{640}-\frac{3195731\,{\left(1-2\,x\right)}^{3/2}}{384}-\frac{1853313\,{\left(1-2\,x\right)}^{7/2}}{128}+\frac{9504551\,{\left(1-2\,x\right)}^{9/2}}{1152}-\frac{4177401\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{1101465\,{\left(1-2\,x\right)}^{13/2}}{1664}-\frac{10755\,{\left(1-2\,x\right)}^{15/2}}{128}+\frac{10125\,{\left(1-2\,x\right)}^{17/2}}{2176}","Not used",1,"(9836211*(1 - 2*x)^(5/2))/640 - (3195731*(1 - 2*x)^(3/2))/384 - (1853313*(1 - 2*x)^(7/2))/128 + (9504551*(1 - 2*x)^(9/2))/1152 - (4177401*(1 - 2*x)^(11/2))/1408 + (1101465*(1 - 2*x)^(13/2))/1664 - (10755*(1 - 2*x)^(15/2))/128 + (10125*(1 - 2*x)^(17/2))/2176","B"
1816,1,64,92,0.036841,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^3,x)","\frac{302379\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{456533\,{\left(1-2\,x\right)}^{3/2}}{192}-\frac{190707\,{\left(1-2\,x\right)}^{7/2}}{64}+\frac{98209\,{\left(1-2\,x\right)}^{9/2}}{72}-\frac{260055\,{\left(1-2\,x\right)}^{11/2}}{704}+\frac{11475\,{\left(1-2\,x\right)}^{13/2}}{208}-\frac{225\,{\left(1-2\,x\right)}^{15/2}}{64}","Not used",1,"(302379*(1 - 2*x)^(5/2))/80 - (456533*(1 - 2*x)^(3/2))/192 - (190707*(1 - 2*x)^(7/2))/64 + (98209*(1 - 2*x)^(9/2))/72 - (260055*(1 - 2*x)^(11/2))/704 + (11475*(1 - 2*x)^(13/2))/208 - (225*(1 - 2*x)^(15/2))/64","B"
1817,1,55,79,0.028773,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^3,x)","\frac{144837\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{65219\,{\left(1-2\,x\right)}^{3/2}}{96}-\frac{64317\,{\left(1-2\,x\right)}^{7/2}}{112}+\frac{28555\,{\left(1-2\,x\right)}^{9/2}}{144}-\frac{12675\,{\left(1-2\,x\right)}^{11/2}}{352}+\frac{1125\,{\left(1-2\,x\right)}^{13/2}}{416}","Not used",1,"(144837*(1 - 2*x)^(5/2))/160 - (65219*(1 - 2*x)^(3/2))/96 - (64317*(1 - 2*x)^(7/2))/112 + (28555*(1 - 2*x)^(9/2))/144 - (12675*(1 - 2*x)^(11/2))/352 + (1125*(1 - 2*x)^(13/2))/416","B"
1818,1,46,66,0.024430,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^3,x)","\frac{8349\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{9317\,{\left(1-2\,x\right)}^{3/2}}{48}-\frac{2805\,{\left(1-2\,x\right)}^{7/2}}{28}+\frac{1675\,{\left(1-2\,x\right)}^{9/2}}{72}-\frac{375\,{\left(1-2\,x\right)}^{11/2}}{176}","Not used",1,"(8349*(1 - 2*x)^(5/2))/40 - (9317*(1 - 2*x)^(3/2))/48 - (2805*(1 - 2*x)^(7/2))/28 + (1675*(1 - 2*x)^(9/2))/72 - (375*(1 - 2*x)^(11/2))/176","B"
1819,1,37,53,0.035684,"\text{Not used}","int((1 - 2*x)^(1/2)*(5*x + 3)^3,x)","\frac{363\,{\left(1-2\,x\right)}^{5/2}}{8}-\frac{1331\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{825\,{\left(1-2\,x\right)}^{7/2}}{56}+\frac{125\,{\left(1-2\,x\right)}^{9/2}}{72}","Not used",1,"(363*(1 - 2*x)^(5/2))/8 - (1331*(1 - 2*x)^(3/2))/24 - (825*(1 - 2*x)^(7/2))/56 + (125*(1 - 2*x)^(9/2))/72","B"
1820,1,57,82,1.183425,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2),x)","\frac{80\,{\left(1-2\,x\right)}^{5/2}}{9}-\frac{5135\,{\left(1-2\,x\right)}^{3/2}}{324}-\frac{2\,\sqrt{1-2\,x}}{81}-\frac{125\,{\left(1-2\,x\right)}^{7/2}}{84}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,2{}\mathrm{i}}{243}","Not used",1,"(80*(1 - 2*x)^(5/2))/9 - (2*(1 - 2*x)^(1/2))/81 - (5135*(1 - 2*x)^(3/2))/324 - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*2i)/243 - (125*(1 - 2*x)^(7/2))/84","B"
1821,1,64,93,0.050725,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^2,x)","\frac{2\,\sqrt{1-2\,x}}{243\,\left(2\,x+\frac{4}{3}\right)}+\frac{10\,\sqrt{1-2\,x}}{27}-\frac{725\,{\left(1-2\,x\right)}^{3/2}}{162}+\frac{25\,{\left(1-2\,x\right)}^{5/2}}{18}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,212{}\mathrm{i}}{1701}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*212i)/1701 + (2*(1 - 2*x)^(1/2))/(243*(2*x + 4/3)) + (10*(1 - 2*x)^(1/2))/27 - (725*(1 - 2*x)^(3/2))/162 + (25*(1 - 2*x)^(5/2))/18","B"
1822,1,74,100,0.069753,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^3,x)","-\frac{50\,\sqrt{1-2\,x}}{27}-\frac{125\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{\frac{209\,\sqrt{1-2\,x}}{729}-\frac{211\,{\left(1-2\,x\right)}^{3/2}}{1701}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,7559{}\mathrm{i}}{11907}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*7559i)/11907 - (50*(1 - 2*x)^(1/2))/27 - (125*(1 - 2*x)^(3/2))/81 - ((209*(1 - 2*x)^(1/2))/729 - (211*(1 - 2*x)^(3/2))/1701)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1823,1,80,107,0.062601,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^4,x)","\frac{250\,\sqrt{1-2\,x}}{81}-\frac{92996\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{83349}+\frac{\frac{7246\,\sqrt{1-2\,x}}{2187}-\frac{44092\,{\left(1-2\,x\right)}^{3/2}}{15309}+\frac{7454\,{\left(1-2\,x\right)}^{5/2}}{11907}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(250*(1 - 2*x)^(1/2))/81 - (92996*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/83349 + ((7246*(1 - 2*x)^(1/2))/2187 - (44092*(1 - 2*x)^(3/2))/15309 + (7454*(1 - 2*x)^(5/2))/11907)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1824,1,90,107,1.175706,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^5,x)","\frac{328715\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2333772}-\frac{\frac{328715\,\sqrt{1-2\,x}}{26244}-\frac{3040873\,{\left(1-2\,x\right)}^{3/2}}{183708}+\frac{3126535\,{\left(1-2\,x\right)}^{5/2}}{428652}-\frac{119095\,{\left(1-2\,x\right)}^{7/2}}{111132}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(328715*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2333772 - ((328715*(1 - 2*x)^(1/2))/26244 - (3040873*(1 - 2*x)^(3/2))/183708 + (3126535*(1 - 2*x)^(5/2))/428652 - (119095*(1 - 2*x)^(7/2))/111132)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1825,1,108,127,1.180759,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^6,x)","\frac{11237\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1166886}-\frac{\frac{78659\,\sqrt{1-2\,x}}{39366}-\frac{263117\,{\left(1-2\,x\right)}^{3/2}}{137781}+\frac{39632\,{\left(1-2\,x\right)}^{5/2}}{229635}+\frac{4237\,{\left(1-2\,x\right)}^{7/2}}{15309}-\frac{11237\,{\left(1-2\,x\right)}^{9/2}}{166698}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(11237*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1166886 - ((78659*(1 - 2*x)^(1/2))/39366 - (263117*(1 - 2*x)^(3/2))/137781 + (39632*(1 - 2*x)^(5/2))/229635 + (4237*(1 - 2*x)^(7/2))/15309 - (11237*(1 - 2*x)^(9/2))/166698)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1826,1,126,147,0.075516,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^7,x)","\frac{43957\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{32672808}-\frac{\frac{307699\,\sqrt{1-2\,x}}{472392}-\frac{630947\,{\left(1-2\,x\right)}^{3/2}}{3306744}-\frac{1354639\,{\left(1-2\,x\right)}^{5/2}}{2143260}+\frac{1058581\,{\left(1-2\,x\right)}^{7/2}}{2143260}-\frac{747269\,{\left(1-2\,x\right)}^{9/2}}{6001128}+\frac{43957\,{\left(1-2\,x\right)}^{11/2}}{4667544}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}","Not used",1,"(43957*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/32672808 - ((307699*(1 - 2*x)^(1/2))/472392 - (630947*(1 - 2*x)^(3/2))/3306744 - (1354639*(1 - 2*x)^(5/2))/2143260 + (1058581*(1 - 2*x)^(7/2))/2143260 - (747269*(1 - 2*x)^(9/2))/6001128 + (43957*(1 - 2*x)^(11/2))/4667544)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729)","B"
1827,1,144,167,0.074216,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^3)/(3*x + 2)^8,x)","\frac{47434\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{200120949}-\frac{\frac{47434\,\sqrt{1-2\,x}}{177147}+\frac{201304\,{\left(1-2\,x\right)}^{3/2}}{1240029}-\frac{10203122\,{\left(1-2\,x\right)}^{5/2}}{14467005}+\frac{41712416\,{\left(1-2\,x\right)}^{7/2}}{78764805}-\frac{13423822\,{\left(1-2\,x\right)}^{9/2}}{78764805}+\frac{948680\,{\left(1-2\,x\right)}^{11/2}}{36756909}-\frac{47434\,{\left(1-2\,x\right)}^{13/2}}{28588707}}{\frac{1647086\,x}{729}+\frac{117649\,{\left(2\,x-1\right)}^2}{81}+\frac{84035\,{\left(2\,x-1\right)}^3}{81}+\frac{12005\,{\left(2\,x-1\right)}^4}{27}+\frac{343\,{\left(2\,x-1\right)}^5}{3}+\frac{49\,{\left(2\,x-1\right)}^6}{3}+{\left(2\,x-1\right)}^7-\frac{1647086}{2187}}","Not used",1,"(47434*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/200120949 - ((47434*(1 - 2*x)^(1/2))/177147 + (201304*(1 - 2*x)^(3/2))/1240029 - (10203122*(1 - 2*x)^(5/2))/14467005 + (41712416*(1 - 2*x)^(7/2))/78764805 - (13423822*(1 - 2*x)^(9/2))/78764805 + (948680*(1 - 2*x)^(11/2))/36756909 - (47434*(1 - 2*x)^(13/2))/28588707)/((1647086*x)/729 + (117649*(2*x - 1)^2)/81 + (84035*(2*x - 1)^3)/81 + (12005*(2*x - 1)^4)/27 + (343*(2*x - 1)^5)/3 + (49*(2*x - 1)^6)/3 + (2*x - 1)^7 - 1647086/2187)","B"
1828,1,66,95,1.179545,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^4)/(5*x + 3),x)","\frac{2\,\sqrt{1-2\,x}}{3125}-\frac{45473\,{\left(1-2\,x\right)}^{3/2}}{5000}+\frac{34371\,{\left(1-2\,x\right)}^{5/2}}{5000}-\frac{2889\,{\left(1-2\,x\right)}^{7/2}}{1400}+\frac{9\,{\left(1-2\,x\right)}^{9/2}}{40}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{15625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/15625 + (2*(1 - 2*x)^(1/2))/3125 - (45473*(1 - 2*x)^(3/2))/5000 + (34371*(1 - 2*x)^(5/2))/5000 - (2889*(1 - 2*x)^(7/2))/1400 + (9*(1 - 2*x)^(9/2))/40","B"
1829,1,57,82,1.158863,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3),x)","\frac{2\,\sqrt{1-2\,x}}{625}-\frac{1299\,{\left(1-2\,x\right)}^{3/2}}{500}+\frac{162\,{\left(1-2\,x\right)}^{5/2}}{125}-\frac{27\,{\left(1-2\,x\right)}^{7/2}}{140}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{3125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/3125 + (2*(1 - 2*x)^(1/2))/625 - (1299*(1 - 2*x)^(3/2))/500 + (162*(1 - 2*x)^(5/2))/125 - (27*(1 - 2*x)^(7/2))/140","B"
1830,1,48,69,1.178941,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3),x)","\frac{2\,\sqrt{1-2\,x}}{125}-\frac{37\,{\left(1-2\,x\right)}^{3/2}}{50}+\frac{9\,{\left(1-2\,x\right)}^{5/2}}{50}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/625 + (2*(1 - 2*x)^(1/2))/125 - (37*(1 - 2*x)^(3/2))/50 + (9*(1 - 2*x)^(5/2))/50","B"
1831,1,37,56,0.065204,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3),x)","\frac{2\,\sqrt{1-2\,x}}{25}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{125}-\frac{{\left(1-2\,x\right)}^{3/2}}{5}","Not used",1,"(2*(1 - 2*x)^(1/2))/25 - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/125 - (1 - 2*x)^(3/2)/5","B"
1832,1,28,43,0.058723,"\text{Not used}","int((1 - 2*x)^(1/2)/(5*x + 3),x)","\frac{2\,\sqrt{1-2\,x}}{5}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{25}","Not used",1,"(2*(1 - 2*x)^(1/2))/5 - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/25","B"
1833,1,37,55,0.093044,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)),x)","\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{5}","Not used",1,"(2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3 - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/5","B"
1834,1,53,68,1.187178,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)),x)","\frac{68\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21}-2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{2\,\sqrt{1-2\,x}}{3\,\left(2\,x+\frac{4}{3}\right)}","Not used",1,"(68*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21 - 2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + (2*(1 - 2*x)^(1/2))/(3*(2*x + 4/3))","B"
1835,1,71,95,0.097493,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)),x)","\frac{793\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-10\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{71\,\sqrt{1-2\,x}}{9}-\frac{23\,{\left(1-2\,x\right)}^{3/2}}{7}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(793*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - 10*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((71*(1 - 2*x)^(1/2))/9 - (23*(1 - 2*x)^(3/2))/7)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1836,1,89,113,1.203553,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)),x)","\frac{83264\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1029}-50\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{2486\,\sqrt{1-2\,x}}{27}-\frac{14692\,{\left(1-2\,x\right)}^{3/2}}{189}+\frac{2414\,{\left(1-2\,x\right)}^{5/2}}{147}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(83264*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1029 - 50*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((2486*(1 - 2*x)^(1/2))/27 - (14692*(1 - 2*x)^(3/2))/189 + (2414*(1 - 2*x)^(5/2))/147)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1837,1,107,133,1.212570,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^5*(5*x + 3)),x)","\frac{11656955\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{28812}-250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{116015\,\sqrt{1-2\,x}}{108}-\frac{3100927\,{\left(1-2\,x\right)}^{3/2}}{2268}+\frac{3070705\,{\left(1-2\,x\right)}^{5/2}}{5292}-\frac{337955\,{\left(1-2\,x\right)}^{7/2}}{4116}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(11656955*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/28812 - 250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((116015*(1 - 2*x)^(1/2))/108 - (3100927*(1 - 2*x)^(3/2))/2268 + (3070705*(1 - 2*x)^(5/2))/5292 - (337955*(1 - 2*x)^(7/2))/4116)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1838,1,82,133,0.056695,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^5)/(5*x + 3)^2,x)","\frac{6\,\sqrt{1-2\,x}}{3125}-\frac{2\,\sqrt{1-2\,x}}{78125\,\left(2\,x+\frac{6}{5}\right)}-\frac{144681\,{\left(1-2\,x\right)}^{3/2}}{25000}+\frac{107109\,{\left(1-2\,x\right)}^{5/2}}{25000}-\frac{8829\,{\left(1-2\,x\right)}^{7/2}}{7000}+\frac{27\,{\left(1-2\,x\right)}^{9/2}}{200}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,328{}\mathrm{i}}{859375}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*328i)/859375 - (2*(1 - 2*x)^(1/2))/(78125*(2*x + 6/5)) + (6*(1 - 2*x)^(1/2))/3125 - (144681*(1 - 2*x)^(3/2))/25000 + (107109*(1 - 2*x)^(5/2))/25000 - (8829*(1 - 2*x)^(7/2))/7000 + (27*(1 - 2*x)^(9/2))/200","B"
1839,1,73,113,1.167361,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^4)/(5*x + 3)^2,x)","\frac{24\,\sqrt{1-2\,x}}{3125}-\frac{2\,\sqrt{1-2\,x}}{15625\,\left(2\,x+\frac{6}{5}\right)}-\frac{4131\,{\left(1-2\,x\right)}^{3/2}}{2500}+\frac{999\,{\left(1-2\,x\right)}^{5/2}}{1250}-\frac{81\,{\left(1-2\,x\right)}^{7/2}}{700}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,262{}\mathrm{i}}{171875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*262i)/171875 - (2*(1 - 2*x)^(1/2))/(15625*(2*x + 6/5)) + (24*(1 - 2*x)^(1/2))/3125 - (4131*(1 - 2*x)^(3/2))/2500 + (999*(1 - 2*x)^(5/2))/1250 - (81*(1 - 2*x)^(7/2))/700","B"
1840,1,64,88,0.053040,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^2,x)","\frac{18\,\sqrt{1-2\,x}}{625}-\frac{2\,\sqrt{1-2\,x}}{3125\,\left(2\,x+\frac{6}{5}\right)}-\frac{117\,{\left(1-2\,x\right)}^{3/2}}{250}+\frac{27\,{\left(1-2\,x\right)}^{5/2}}{250}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,196{}\mathrm{i}}{34375}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*196i)/34375 - (2*(1 - 2*x)^(1/2))/(3125*(2*x + 6/5)) + (18*(1 - 2*x)^(1/2))/625 - (117*(1 - 2*x)^(3/2))/250 + (27*(1 - 2*x)^(5/2))/250","B"
1841,1,55,74,0.066189,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^2,x)","\frac{12\,\sqrt{1-2\,x}}{125}-\frac{2\,\sqrt{1-2\,x}}{625\,\left(2\,x+\frac{6}{5}\right)}-\frac{3\,{\left(1-2\,x\right)}^{3/2}}{25}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,26{}\mathrm{i}}{1375}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*26i)/1375 - (2*(1 - 2*x)^(1/2))/(625*(2*x + 6/5)) + (12*(1 - 2*x)^(1/2))/125 - (3*(1 - 2*x)^(3/2))/25","B"
1842,1,44,61,0.058672,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^2,x)","\frac{6\,\sqrt{1-2\,x}}{25}-\frac{2\,\sqrt{1-2\,x}}{125\,\left(2\,x+\frac{6}{5}\right)}-\frac{64\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1375}","Not used",1,"(6*(1 - 2*x)^(1/2))/25 - (2*(1 - 2*x)^(1/2))/(125*(2*x + 6/5)) - (64*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1375","B"
1843,1,35,48,1.168407,"\text{Not used}","int((1 - 2*x)^(1/2)/(5*x + 3)^2,x)","\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{275}-\frac{2\,\sqrt{1-2\,x}}{25\,\left(2\,x+\frac{6}{5}\right)}","Not used",1,"(2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/275 - (2*(1 - 2*x)^(1/2))/(25*(2*x + 6/5))","B"
1844,1,53,69,1.183012,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^2),x)","\frac{68\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{55}-2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)-\frac{2\,\sqrt{1-2\,x}}{5\,\left(2\,x+\frac{6}{5}\right)}","Not used",1,"(68*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/55 - 2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7) - (2*(1 - 2*x)^(1/2))/(5*(2*x + 6/5))","B"
1845,1,72,97,0.096292,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^2),x)","\frac{134\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}-\frac{138\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{\frac{136\,\sqrt{1-2\,x}}{15}-4\,{\left(1-2\,x\right)}^{3/2}}{\frac{136\,x}{15}+{\left(2\,x-1\right)}^2+\frac{3}{5}}","Not used",1,"(134*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 - (138*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - ((136*(1 - 2*x)^(1/2))/15 - 4*(1 - 2*x)^(3/2))/((136*x)/15 + (2*x - 1)^2 + 3/5)","B"
1846,1,90,131,1.215903,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^2),x)","\frac{1000\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}-\frac{7209\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{\frac{7103\,\sqrt{1-2\,x}}{45}-\frac{14422\,{\left(1-2\,x\right)}^{3/2}}{105}+\frac{209\,{\left(1-2\,x\right)}^{5/2}}{7}}{\frac{1414\,x}{45}+\frac{103\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{56}{15}}","Not used",1,"(1000*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 - (7209*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - ((7103*(1 - 2*x)^(1/2))/45 - (14422*(1 - 2*x)^(3/2))/105 + (209*(1 - 2*x)^(5/2))/7)/((1414*x)/45 + (103*(2*x - 1)^2)/15 + (2*x - 1)^3 - 56/15)","B"
1847,1,108,158,1.220952,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^2),x)","\frac{6650\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}-\frac{335579\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{330643\,\sqrt{1-2\,x}}{135}-\frac{111333\,{\left(1-2\,x\right)}^{3/2}}{35}+\frac{3035591\,{\left(1-2\,x\right)}^{5/2}}{2205}-\frac{9729\,{\left(1-2\,x\right)}^{7/2}}{49}}{\frac{13132\,x}{135}+\frac{476\,{\left(2\,x-1\right)}^2}{15}+\frac{46\,{\left(2\,x-1\right)}^3}{5}+{\left(2\,x-1\right)}^4-\frac{931}{45}}","Not used",1,"(6650*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 - (335579*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((330643*(1 - 2*x)^(1/2))/135 - (111333*(1 - 2*x)^(3/2))/35 + (3035591*(1 - 2*x)^(5/2))/2205 - (9729*(1 - 2*x)^(7/2))/49)/((13132*x)/135 + (476*(2*x - 1)^2)/15 + (46*(2*x - 1)^3)/5 + (2*x - 1)^4 - 931/45)","B"
1848,1,83,120,0.055956,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^4)/(5*x + 3)^3,x)","\frac{108\,\sqrt{1-2\,x}}{3125}-\frac{369\,{\left(1-2\,x\right)}^{3/2}}{1250}+\frac{81\,{\left(1-2\,x\right)}^{5/2}}{1250}-\frac{\frac{53\,\sqrt{1-2\,x}}{15625}-\frac{263\,{\left(1-2\,x\right)}^{3/2}}{171875}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,12803{}\mathrm{i}}{1890625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*12803i)/1890625 + (108*(1 - 2*x)^(1/2))/3125 - (369*(1 - 2*x)^(3/2))/1250 + (81*(1 - 2*x)^(5/2))/1250 - ((53*(1 - 2*x)^(1/2))/15625 - (263*(1 - 2*x)^(3/2))/171875)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1849,1,74,100,0.066203,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^3,x)","\frac{54\,\sqrt{1-2\,x}}{625}-\frac{9\,{\left(1-2\,x\right)}^{3/2}}{125}-\frac{\frac{199\,\sqrt{1-2\,x}}{15625}-\frac{197\,{\left(1-2\,x\right)}^{3/2}}{34375}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,1267{}\mathrm{i}}{75625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*1267i)/75625 + (54*(1 - 2*x)^(1/2))/625 - (9*(1 - 2*x)^(3/2))/125 - ((199*(1 - 2*x)^(1/2))/15625 - (197*(1 - 2*x)^(3/2))/34375)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1850,1,63,81,0.059886,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^3,x)","\frac{18\,\sqrt{1-2\,x}}{125}-\frac{409\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{15125}-\frac{\frac{133\,\sqrt{1-2\,x}}{3125}-\frac{131\,{\left(1-2\,x\right)}^{3/2}}{6875}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(18*(1 - 2*x)^(1/2))/125 - (409*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/15125 - ((133*(1 - 2*x)^(1/2))/3125 - (131*(1 - 2*x)^(3/2))/6875)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1851,1,54,68,1.181117,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^3,x)","\frac{67\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{15125}-\frac{\frac{67\,\sqrt{1-2\,x}}{625}-\frac{13\,{\left(1-2\,x\right)}^{3/2}}{275}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(67*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/15125 - ((67*(1 - 2*x)^(1/2))/625 - (13*(1 - 2*x)^(3/2))/275)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1852,1,54,68,1.194576,"\text{Not used}","int((1 - 2*x)^(1/2)/(5*x + 3)^3,x)","\frac{\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{3025}-\frac{\frac{\sqrt{1-2\,x}}{125}+\frac{{\left(1-2\,x\right)}^{3/2}}{275}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/3025 - ((1 - 2*x)^(1/2)/125 + (1 - 2*x)^(3/2)/275)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1853,1,71,93,0.090197,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^3),x)","6\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)-\frac{2243\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{605}+\frac{\frac{13\,\sqrt{1-2\,x}}{5}-\frac{67\,{\left(1-2\,x\right)}^{3/2}}{55}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"6*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7) - (2243*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/605 + ((13*(1 - 2*x)^(1/2))/5 - (67*(1 - 2*x)^(3/2))/55)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1854,1,89,121,0.098525,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^3),x)","\frac{624\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{6665\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}+\frac{\frac{6763\,\sqrt{1-2\,x}}{75}-\frac{13334\,{\left(1-2\,x\right)}^{3/2}}{165}+\frac{199\,{\left(1-2\,x\right)}^{5/2}}{11}}{\frac{2266\,x}{75}+\frac{101\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{286}{75}}","Not used",1,"(624*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - (6665*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 + ((6763*(1 - 2*x)^(1/2))/75 - (13334*(1 - 2*x)^(3/2))/165 + (199*(1 - 2*x)^(5/2))/11)/((2266*x)/75 + (101*(2*x - 1)^2)/15 + (2*x - 1)^3 - 286/75)","B"
1855,1,107,153,0.102114,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^3),x)","\frac{43467\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{66325\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}+\frac{\frac{471104\,\sqrt{1-2\,x}}{225}-\frac{48054938\,{\left(1-2\,x\right)}^{3/2}}{17325}+\frac{1413992\,{\left(1-2\,x\right)}^{5/2}}{1155}-\frac{13862\,{\left(1-2\,x\right)}^{7/2}}{77}}{\frac{20944\,x}{225}+\frac{6934\,{\left(2\,x-1\right)}^2}{225}+\frac{136\,{\left(2\,x-1\right)}^3}{15}+{\left(2\,x-1\right)}^4-\frac{4543}{225}}","Not used",1,"(43467*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - (66325*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 + ((471104*(1 - 2*x)^(1/2))/225 - (48054938*(1 - 2*x)^(3/2))/17325 + (1413992*(1 - 2*x)^(5/2))/1155 - (13862*(1 - 2*x)^(7/2))/77)/((20944*x)/225 + (6934*(2*x - 1)^2)/225 + (136*(2*x - 1)^3)/15 + (2*x - 1)^4 - 4543/225)","B"
1856,1,125,180,1.237338,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^3),x)","\frac{2528082\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{551075\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}+\frac{\frac{27399859\,\sqrt{1-2\,x}}{675}-\frac{3699115348\,{\left(1-2\,x\right)}^{3/2}}{51975}+\frac{1891096366\,{\left(1-2\,x\right)}^{5/2}}{40425}-\frac{110457052\,{\left(1-2\,x\right)}^{7/2}}{8085}+\frac{806227\,{\left(1-2\,x\right)}^{9/2}}{539}}{\frac{182182\,x}{675}+\frac{79954\,{\left(2\,x-1\right)}^2}{675}+\frac{3898\,{\left(2\,x-1\right)}^3}{75}+\frac{57\,{\left(2\,x-1\right)}^4}{5}+{\left(2\,x-1\right)}^5-\frac{49588}{675}}","Not used",1,"(2528082*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - (551075*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 + ((27399859*(1 - 2*x)^(1/2))/675 - (3699115348*(1 - 2*x)^(3/2))/51975 + (1891096366*(1 - 2*x)^(5/2))/40425 - (110457052*(1 - 2*x)^(7/2))/8085 + (806227*(1 - 2*x)^(9/2))/539)/((182182*x)/675 + (79954*(2*x - 1)^2)/675 + (3898*(2*x - 1)^3)/75 + (57*(2*x - 1)^4)/5 + (2*x - 1)^5 - 49588/675)","B"
1857,1,73,105,0.034246,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^6*(5*x + 3),x)","\frac{559433\,{\left(1-2\,x\right)}^{7/2}}{128}-\frac{1294139\,{\left(1-2\,x\right)}^{5/2}}{640}-\frac{564235\,{\left(1-2\,x\right)}^{9/2}}{128}+\frac{3658095\,{\left(1-2\,x\right)}^{11/2}}{1408}-\frac{1580985\,{\left(1-2\,x\right)}^{13/2}}{1664}+\frac{136647\,{\left(1-2\,x\right)}^{15/2}}{640}-\frac{59049\,{\left(1-2\,x\right)}^{17/2}}{2176}+\frac{3645\,{\left(1-2\,x\right)}^{19/2}}{2432}","Not used",1,"(559433*(1 - 2*x)^(7/2))/128 - (1294139*(1 - 2*x)^(5/2))/640 - (564235*(1 - 2*x)^(9/2))/128 + (3658095*(1 - 2*x)^(11/2))/1408 - (1580985*(1 - 2*x)^(13/2))/1664 + (136647*(1 - 2*x)^(15/2))/640 - (59049*(1 - 2*x)^(17/2))/2176 + (3645*(1 - 2*x)^(19/2))/2432","B"
1858,1,64,92,0.029480,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^5*(5*x + 3),x)","\frac{8575\,{\left(1-2\,x\right)}^{7/2}}{8}-\frac{184877\,{\left(1-2\,x\right)}^{5/2}}{320}-\frac{173215\,{\left(1-2\,x\right)}^{9/2}}{192}+\frac{37485\,{\left(1-2\,x\right)}^{11/2}}{88}-\frac{97335\,{\left(1-2\,x\right)}^{13/2}}{832}+\frac{351\,{\left(1-2\,x\right)}^{15/2}}{20}-\frac{1215\,{\left(1-2\,x\right)}^{17/2}}{1088}","Not used",1,"(8575*(1 - 2*x)^(7/2))/8 - (184877*(1 - 2*x)^(5/2))/320 - (173215*(1 - 2*x)^(9/2))/192 + (37485*(1 - 2*x)^(11/2))/88 - (97335*(1 - 2*x)^(13/2))/832 + (351*(1 - 2*x)^(15/2))/20 - (1215*(1 - 2*x)^(17/2))/1088","B"
1859,1,55,79,0.025695,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3),x)","\frac{8183\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{26411\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{8281\,{\left(1-2\,x\right)}^{9/2}}{48}+\frac{10773\,{\left(1-2\,x\right)}^{11/2}}{176}-\frac{4671\,{\left(1-2\,x\right)}^{13/2}}{416}+\frac{27\,{\left(1-2\,x\right)}^{15/2}}{32}","Not used",1,"(8183*(1 - 2*x)^(7/2))/32 - (26411*(1 - 2*x)^(5/2))/160 - (8281*(1 - 2*x)^(9/2))/48 + (10773*(1 - 2*x)^(11/2))/176 - (4671*(1 - 2*x)^(13/2))/416 + (27*(1 - 2*x)^(15/2))/32","B"
1860,1,46,66,0.024110,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3),x)","\frac{469\,{\left(1-2\,x\right)}^{7/2}}{8}-\frac{3773\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{119\,{\left(1-2\,x\right)}^{9/2}}{4}+\frac{621\,{\left(1-2\,x\right)}^{11/2}}{88}-\frac{135\,{\left(1-2\,x\right)}^{13/2}}{208}","Not used",1,"(469*(1 - 2*x)^(7/2))/8 - (3773*(1 - 2*x)^(5/2))/80 - (119*(1 - 2*x)^(9/2))/4 + (621*(1 - 2*x)^(11/2))/88 - (135*(1 - 2*x)^(13/2))/208","B"
1861,1,37,53,0.035257,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3),x)","\frac{101\,{\left(1-2\,x\right)}^{7/2}}{8}-\frac{539\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{103\,{\left(1-2\,x\right)}^{9/2}}{24}+\frac{45\,{\left(1-2\,x\right)}^{11/2}}{88}","Not used",1,"(101*(1 - 2*x)^(7/2))/8 - (539*(1 - 2*x)^(5/2))/40 - (103*(1 - 2*x)^(9/2))/24 + (45*(1 - 2*x)^(11/2))/88","B"
1862,1,23,40,0.034968,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3),x)","-\frac{{\left(1-2\,x\right)}^{5/2}\,\left(2040\,x+175\,{\left(2\,x-1\right)}^2+597\right)}{420}","Not used",1,"-((1 - 2*x)^(5/2)*(2040*x + 175*(2*x - 1)^2 + 597))/420","B"
1863,1,14,27,0.023540,"\text{Not used}","int((1 - 2*x)^(3/2)*(5*x + 3),x)","-\frac{{\left(1-2\,x\right)}^{5/2}\,\left(50\,x+52\right)}{70}","Not used",1,"-((1 - 2*x)^(5/2)*(50*x + 52))/70","B"
1864,1,48,69,0.070278,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3))/(3*x + 2),x)","-\frac{14\,\sqrt{1-2\,x}}{27}-\frac{2\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{{\left(1-2\,x\right)}^{5/2}}{3}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,14{}\mathrm{i}}{81}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*14i)/81 - (14*(1 - 2*x)^(1/2))/27 - (2*(1 - 2*x)^(3/2))/27 - (1 - 2*x)^(5/2)/3","B"
1865,1,55,76,1.196969,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3))/(3*x + 2)^2,x)","\frac{14\,\sqrt{1-2\,x}}{81\,\left(2\,x+\frac{4}{3}\right)}+\frac{74\,\sqrt{1-2\,x}}{27}+\frac{10\,{\left(1-2\,x\right)}^{3/2}}{27}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,76{}\mathrm{i}}{81}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*76i)/81 + (14*(1 - 2*x)^(1/2))/(81*(2*x + 4/3)) + (74*(1 - 2*x)^(1/2))/27 + (10*(1 - 2*x)^(3/2))/27","B"
1866,1,63,81,0.059499,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3))/(3*x + 2)^3,x)","\frac{71\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{189}-\frac{20\,\sqrt{1-2\,x}}{27}-\frac{\frac{511\,\sqrt{1-2\,x}}{243}-\frac{25\,{\left(1-2\,x\right)}^{3/2}}{27}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(71*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/189 - (20*(1 - 2*x)^(1/2))/27 - ((511*(1 - 2*x)^(1/2))/243 - (25*(1 - 2*x)^(3/2))/27)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1867,1,71,88,0.065995,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3))/(3*x + 2)^4,x)","\frac{\frac{728\,\sqrt{1-2\,x}}{729}-\frac{832\,{\left(1-2\,x\right)}^{3/2}}{729}+\frac{176\,{\left(1-2\,x\right)}^{5/2}}{567}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}-\frac{104\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3969}","Not used",1,"((728*(1 - 2*x)^(1/2))/729 - (832*(1 - 2*x)^(3/2))/729 + (176*(1 - 2*x)^(5/2))/567)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27) - (104*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3969","B"
1868,1,89,108,1.188058,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3))/(3*x + 2)^5,x)","\frac{\frac{959\,\sqrt{1-2\,x}}{8748}-\frac{1507\,{\left(1-2\,x\right)}^{3/2}}{8748}+\frac{733\,{\left(1-2\,x\right)}^{5/2}}{20412}+\frac{137\,{\left(1-2\,x\right)}^{7/2}}{15876}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}-\frac{137\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{111132}","Not used",1,"((959*(1 - 2*x)^(1/2))/8748 - (1507*(1 - 2*x)^(3/2))/8748 + (733*(1 - 2*x)^(5/2))/20412 + (137*(1 - 2*x)^(7/2))/15876)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81) - (137*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/111132","B"
1869,1,107,128,1.208171,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3))/(3*x + 2)^6,x)","\frac{\frac{119\,\sqrt{1-2\,x}}{4374}-\frac{119\,{\left(1-2\,x\right)}^{3/2}}{2187}+\frac{32\,{\left(1-2\,x\right)}^{5/2}}{25515}+\frac{17\,{\left(1-2\,x\right)}^{7/2}}{1701}-\frac{17\,{\left(1-2\,x\right)}^{9/2}}{18522}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}-\frac{17\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{129654}","Not used",1,"((119*(1 - 2*x)^(1/2))/4374 - (119*(1 - 2*x)^(3/2))/2187 + (32*(1 - 2*x)^(5/2))/25515 + (17*(1 - 2*x)^(7/2))/1701 - (17*(1 - 2*x)^(9/2))/18522)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243) - (17*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/129654","B"
1870,1,64,92,0.029928,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)^2,x)","\frac{54439\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{290521\,{\left(1-2\,x\right)}^{5/2}}{320}-\frac{832951\,{\left(1-2\,x\right)}^{9/2}}{576}+\frac{121359\,{\left(1-2\,x\right)}^{11/2}}{176}-\frac{159111\,{\left(1-2\,x\right)}^{13/2}}{832}+\frac{927\,{\left(1-2\,x\right)}^{15/2}}{32}-\frac{2025\,{\left(1-2\,x\right)}^{17/2}}{1088}","Not used",1,"(54439*(1 - 2*x)^(7/2))/32 - (290521*(1 - 2*x)^(5/2))/320 - (832951*(1 - 2*x)^(9/2))/576 + (121359*(1 - 2*x)^(11/2))/176 - (159111*(1 - 2*x)^(13/2))/832 + (927*(1 - 2*x)^(15/2))/32 - (2025*(1 - 2*x)^(17/2))/1088","B"
1871,1,55,79,0.026670,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^2,x)","\frac{13013\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{41503\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{39977\,{\left(1-2\,x\right)}^{9/2}}{144}+\frac{17541\,{\left(1-2\,x\right)}^{11/2}}{176}-\frac{7695\,{\left(1-2\,x\right)}^{13/2}}{416}+\frac{45\,{\left(1-2\,x\right)}^{15/2}}{32}","Not used",1,"(13013*(1 - 2*x)^(7/2))/32 - (41503*(1 - 2*x)^(5/2))/160 - (39977*(1 - 2*x)^(9/2))/144 + (17541*(1 - 2*x)^(11/2))/176 - (7695*(1 - 2*x)^(13/2))/416 + (45*(1 - 2*x)^(15/2))/32","B"
1872,1,46,66,0.024416,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^2,x)","\frac{187\,{\left(1-2\,x\right)}^{7/2}}{2}-\frac{5929\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{3467\,{\left(1-2\,x\right)}^{9/2}}{72}+\frac{255\,{\left(1-2\,x\right)}^{11/2}}{22}-\frac{225\,{\left(1-2\,x\right)}^{13/2}}{208}","Not used",1,"(187*(1 - 2*x)^(7/2))/2 - (5929*(1 - 2*x)^(5/2))/80 - (3467*(1 - 2*x)^(9/2))/72 + (255*(1 - 2*x)^(11/2))/22 - (225*(1 - 2*x)^(13/2))/208","B"
1873,1,37,53,0.035885,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^2,x)","\frac{1133\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{847\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{505\,{\left(1-2\,x\right)}^{9/2}}{72}+\frac{75\,{\left(1-2\,x\right)}^{11/2}}{88}","Not used",1,"(1133*(1 - 2*x)^(7/2))/56 - (847*(1 - 2*x)^(5/2))/40 - (505*(1 - 2*x)^(9/2))/72 + (75*(1 - 2*x)^(11/2))/88","B"
1874,1,23,40,0.030567,"\text{Not used}","int((1 - 2*x)^(3/2)*(5*x + 3)^2,x)","-\frac{{\left(1-2\,x\right)}^{5/2}\,\left(9900\,x+875\,{\left(2\,x-1\right)}^2+2673\right)}{1260}","Not used",1,"-((1 - 2*x)^(5/2)*(9900*x + 875*(2*x - 1)^2 + 2673))/1260","B"
1875,1,57,82,0.054407,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2),x)","\frac{14\,\sqrt{1-2\,x}}{81}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{31\,{\left(1-2\,x\right)}^{5/2}}{18}+\frac{25\,{\left(1-2\,x\right)}^{7/2}}{42}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,14{}\mathrm{i}}{243}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*14i)/243 + (14*(1 - 2*x)^(1/2))/81 + (2*(1 - 2*x)^(3/2))/81 - (31*(1 - 2*x)^(5/2))/18 + (25*(1 - 2*x)^(7/2))/42","B"
1876,1,64,89,1.189530,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2)^2,x)","-\frac{14\,\sqrt{1-2\,x}}{243\,\left(2\,x+\frac{4}{3}\right)}-\frac{16\,\sqrt{1-2\,x}}{9}-\frac{20\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{5\,{\left(1-2\,x\right)}^{5/2}}{9}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,146{}\mathrm{i}}{243}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*146i)/243 - (14*(1 - 2*x)^(1/2))/(243*(2*x + 4/3)) - (16*(1 - 2*x)^(1/2))/9 - (20*(1 - 2*x)^(3/2))/81 - (5*(1 - 2*x)^(5/2))/9","B"
1877,1,73,94,0.064039,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2)^3,x)","\frac{130\,\sqrt{1-2\,x}}{27}+\frac{50\,{\left(1-2\,x\right)}^{3/2}}{81}+\frac{\frac{1001\,\sqrt{1-2\,x}}{729}-\frac{145\,{\left(1-2\,x\right)}^{3/2}}{243}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,2873{}\mathrm{i}}{1701}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*2873i)/1701 + (130*(1 - 2*x)^(1/2))/27 + (50*(1 - 2*x)^(3/2))/81 + ((1001*(1 - 2*x)^(1/2))/729 - (145*(1 - 2*x)^(3/2))/243)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1878,1,81,101,1.162835,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2)^4,x)","\frac{7559\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{11907}-\frac{100\,\sqrt{1-2\,x}}{81}-\frac{\frac{18613\,\sqrt{1-2\,x}}{2187}-\frac{16372\,{\left(1-2\,x\right)}^{3/2}}{2187}+\frac{2801\,{\left(1-2\,x\right)}^{5/2}}{1701}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(7559*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/11907 - (100*(1 - 2*x)^(1/2))/81 - ((18613*(1 - 2*x)^(1/2))/2187 - (16372*(1 - 2*x)^(3/2))/2187 + (2801*(1 - 2*x)^(5/2))/1701)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1879,1,89,108,0.067176,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2)^5,x)","\frac{\frac{100961\,\sqrt{1-2\,x}}{26244}-\frac{158653\,{\left(1-2\,x\right)}^{3/2}}{26244}+\frac{189667\,{\left(1-2\,x\right)}^{5/2}}{61236}-\frac{2753\,{\left(1-2\,x\right)}^{7/2}}{5292}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}-\frac{14423\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{333396}","Not used",1,"((100961*(1 - 2*x)^(1/2))/26244 - (158653*(1 - 2*x)^(3/2))/26244 + (189667*(1 - 2*x)^(5/2))/61236 - (2753*(1 - 2*x)^(7/2))/5292)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81) - (14423*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/333396","B"
1880,1,108,128,0.073578,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2)^6,x)","-\frac{4693\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2333772}-\frac{\frac{32851\,{\left(1-2\,x\right)}^{3/2}}{39366}-\frac{32851\,\sqrt{1-2\,x}}{78732}-\frac{97904\,{\left(1-2\,x\right)}^{5/2}}{229635}+\frac{907\,{\left(1-2\,x\right)}^{7/2}}{30618}+\frac{4693\,{\left(1-2\,x\right)}^{9/2}}{333396}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"- (4693*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2333772 - ((32851*(1 - 2*x)^(3/2))/39366 - (32851*(1 - 2*x)^(1/2))/78732 - (97904*(1 - 2*x)^(5/2))/229635 + (907*(1 - 2*x)^(7/2))/30618 + (4693*(1 - 2*x)^(9/2))/333396)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1881,1,125,148,1.204894,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^2)/(3*x + 2)^7,x)","\frac{\frac{48559\,\sqrt{1-2\,x}}{472392}-\frac{117929\,{\left(1-2\,x\right)}^{3/2}}{472392}+\frac{29843\,{\left(1-2\,x\right)}^{5/2}}{306180}+\frac{10303\,{\left(1-2\,x\right)}^{7/2}}{306180}-\frac{16847\,{\left(1-2\,x\right)}^{9/2}}{857304}+\frac{991\,{\left(1-2\,x\right)}^{11/2}}{666792}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}-\frac{991\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{4667544}","Not used",1,"((48559*(1 - 2*x)^(1/2))/472392 - (117929*(1 - 2*x)^(3/2))/472392 + (29843*(1 - 2*x)^(5/2))/306180 + (10303*(1 - 2*x)^(7/2))/306180 - (16847*(1 - 2*x)^(9/2))/857304 + (991*(1 - 2*x)^(11/2))/666792)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729) - (991*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/4667544","B"
1882,1,73,105,0.033186,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)^3,x)","\frac{1405173\,{\left(1-2\,x\right)}^{7/2}}{128}-\frac{3195731\,{\left(1-2\,x\right)}^{5/2}}{640}-\frac{4324397\,{\left(1-2\,x\right)}^{9/2}}{384}+\frac{9504551\,{\left(1-2\,x\right)}^{11/2}}{1408}-\frac{4177401\,{\left(1-2\,x\right)}^{13/2}}{1664}+\frac{73431\,{\left(1-2\,x\right)}^{15/2}}{128}-\frac{161325\,{\left(1-2\,x\right)}^{17/2}}{2176}+\frac{10125\,{\left(1-2\,x\right)}^{19/2}}{2432}","Not used",1,"(1405173*(1 - 2*x)^(7/2))/128 - (3195731*(1 - 2*x)^(5/2))/640 - (4324397*(1 - 2*x)^(9/2))/384 + (9504551*(1 - 2*x)^(11/2))/1408 - (4177401*(1 - 2*x)^(13/2))/1664 + (73431*(1 - 2*x)^(15/2))/128 - (161325*(1 - 2*x)^(17/2))/2176 + (10125*(1 - 2*x)^(19/2))/2432","B"
1883,1,64,92,0.029461,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^3,x)","\frac{43197\,{\left(1-2\,x\right)}^{7/2}}{16}-\frac{456533\,{\left(1-2\,x\right)}^{5/2}}{320}-\frac{444983\,{\left(1-2\,x\right)}^{9/2}}{192}+\frac{98209\,{\left(1-2\,x\right)}^{11/2}}{88}-\frac{260055\,{\left(1-2\,x\right)}^{13/2}}{832}+\frac{765\,{\left(1-2\,x\right)}^{15/2}}{16}-\frac{3375\,{\left(1-2\,x\right)}^{17/2}}{1088}","Not used",1,"(43197*(1 - 2*x)^(7/2))/16 - (456533*(1 - 2*x)^(5/2))/320 - (444983*(1 - 2*x)^(9/2))/192 + (98209*(1 - 2*x)^(11/2))/88 - (260055*(1 - 2*x)^(13/2))/832 + (765*(1 - 2*x)^(15/2))/16 - (3375*(1 - 2*x)^(17/2))/1088","B"
1884,1,55,79,0.025907,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^3,x)","\frac{20691\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{65219\,{\left(1-2\,x\right)}^{5/2}}{160}-\frac{21439\,{\left(1-2\,x\right)}^{9/2}}{48}+\frac{28555\,{\left(1-2\,x\right)}^{11/2}}{176}-\frac{975\,{\left(1-2\,x\right)}^{13/2}}{32}+\frac{75\,{\left(1-2\,x\right)}^{15/2}}{32}","Not used",1,"(20691*(1 - 2*x)^(7/2))/32 - (65219*(1 - 2*x)^(5/2))/160 - (21439*(1 - 2*x)^(9/2))/48 + (28555*(1 - 2*x)^(11/2))/176 - (975*(1 - 2*x)^(13/2))/32 + (75*(1 - 2*x)^(15/2))/32","B"
1885,1,46,66,0.023829,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^3,x)","\frac{8349\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{9317\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{935\,{\left(1-2\,x\right)}^{9/2}}{12}+\frac{1675\,{\left(1-2\,x\right)}^{11/2}}{88}-\frac{375\,{\left(1-2\,x\right)}^{13/2}}{208}","Not used",1,"(8349*(1 - 2*x)^(7/2))/56 - (9317*(1 - 2*x)^(5/2))/80 - (935*(1 - 2*x)^(9/2))/12 + (1675*(1 - 2*x)^(11/2))/88 - (375*(1 - 2*x)^(13/2))/208","B"
1886,1,37,53,0.036350,"\text{Not used}","int((1 - 2*x)^(3/2)*(5*x + 3)^3,x)","\frac{1815\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{1331\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{275\,{\left(1-2\,x\right)}^{9/2}}{24}+\frac{125\,{\left(1-2\,x\right)}^{11/2}}{88}","Not used",1,"(1815*(1 - 2*x)^(7/2))/56 - (1331*(1 - 2*x)^(5/2))/40 - (275*(1 - 2*x)^(9/2))/24 + (125*(1 - 2*x)^(11/2))/88","B"
1887,1,66,95,0.057648,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2),x)","\frac{400\,{\left(1-2\,x\right)}^{7/2}}{63}-\frac{2\,{\left(1-2\,x\right)}^{3/2}}{243}-\frac{1027\,{\left(1-2\,x\right)}^{5/2}}{108}-\frac{14\,\sqrt{1-2\,x}}{243}-\frac{125\,{\left(1-2\,x\right)}^{9/2}}{108}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,14{}\mathrm{i}}{729}","Not used",1,"(400*(1 - 2*x)^(7/2))/63 - (14*(1 - 2*x)^(1/2))/243 - (2*(1 - 2*x)^(3/2))/243 - (1027*(1 - 2*x)^(5/2))/108 - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*14i)/729 - (125*(1 - 2*x)^(9/2))/108","B"
1888,1,73,108,1.185201,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^2,x)","\frac{14\,\sqrt{1-2\,x}}{729\,\left(2\,x+\frac{4}{3}\right)}+\frac{214\,\sqrt{1-2\,x}}{243}+\frac{10\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{145\,{\left(1-2\,x\right)}^{5/2}}{54}+\frac{125\,{\left(1-2\,x\right)}^{7/2}}{126}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,8{}\mathrm{i}}{27}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*8i)/27 + (14*(1 - 2*x)^(1/2))/(729*(2*x + 4/3)) + (214*(1 - 2*x)^(1/2))/243 + (10*(1 - 2*x)^(3/2))/81 - (145*(1 - 2*x)^(5/2))/54 + (125*(1 - 2*x)^(7/2))/126","B"
1889,1,83,118,0.051741,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^3,x)","-\frac{370\,\sqrt{1-2\,x}}{81}-\frac{50\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{25\,{\left(1-2\,x\right)}^{5/2}}{27}-\frac{\frac{497\,\sqrt{1-2\,x}}{729}-\frac{215\,{\left(1-2\,x\right)}^{3/2}}{729}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,887{}\mathrm{i}}{567}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*887i)/567 - (370*(1 - 2*x)^(1/2))/81 - (50*(1 - 2*x)^(3/2))/81 - (25*(1 - 2*x)^(5/2))/27 - ((497*(1 - 2*x)^(1/2))/729 - (215*(1 - 2*x)^(3/2))/729)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1890,1,91,125,0.066148,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^4,x)","\frac{2050\,\sqrt{1-2\,x}}{243}+\frac{250\,{\left(1-2\,x\right)}^{3/2}}{243}+\frac{\frac{53648\,\sqrt{1-2\,x}}{6561}-\frac{46612\,{\left(1-2\,x\right)}^{3/2}}{6561}+\frac{7876\,{\left(1-2\,x\right)}^{5/2}}{5103}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,36038{}\mathrm{i}}{11907}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*36038i)/11907 + (2050*(1 - 2*x)^(1/2))/243 + (250*(1 - 2*x)^(3/2))/243 + ((53648*(1 - 2*x)^(1/2))/6561 - (46612*(1 - 2*x)^(3/2))/6561 + (7876*(1 - 2*x)^(5/2))/5103)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1891,1,99,131,1.183516,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^5,x)","\frac{13243\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{12348}-\frac{500\,\sqrt{1-2\,x}}{243}-\frac{\frac{2706781\,\sqrt{1-2\,x}}{78732}-\frac{1189171\,{\left(1-2\,x\right)}^{3/2}}{26244}+\frac{406463\,{\left(1-2\,x\right)}^{5/2}}{20412}-\frac{416917\,{\left(1-2\,x\right)}^{7/2}}{142884}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(13243*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/12348 - (500*(1 - 2*x)^(1/2))/243 - ((2706781*(1 - 2*x)^(1/2))/78732 - (1189171*(1 - 2*x)^(3/2))/26244 + (406463*(1 - 2*x)^(5/2))/20412 - (416917*(1 - 2*x)^(7/2))/142884)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1892,1,107,134,0.075344,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^6,x)","\frac{\frac{97244\,\sqrt{1-2\,x}}{6561}-\frac{194488\,{\left(1-2\,x\right)}^{3/2}}{6561}+\frac{1682344\,{\left(1-2\,x\right)}^{5/2}}{76545}-\frac{36616\,{\left(1-2\,x\right)}^{7/2}}{5103}+\frac{217972\,{\left(1-2\,x\right)}^{9/2}}{250047}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}-\frac{13892\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{194481}","Not used",1,"((97244*(1 - 2*x)^(1/2))/6561 - (194488*(1 - 2*x)^(3/2))/6561 + (1682344*(1 - 2*x)^(5/2))/76545 - (36616*(1 - 2*x)^(7/2))/5103 + (217972*(1 - 2*x)^(9/2))/250047)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243) - (13892*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/194481","B"
1893,1,125,154,1.194158,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^7,x)","\frac{\frac{750337\,\sqrt{1-2\,x}}{472392}-\frac{1822247\,{\left(1-2\,x\right)}^{3/2}}{472392}+\frac{923549\,{\left(1-2\,x\right)}^{5/2}}{306180}-\frac{256271\,{\left(1-2\,x\right)}^{7/2}}{306180}+\frac{3037\,{\left(1-2\,x\right)}^{9/2}}{2571912}+\frac{15313\,{\left(1-2\,x\right)}^{11/2}}{666792}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}-\frac{15313\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{4667544}","Not used",1,"((750337*(1 - 2*x)^(1/2))/472392 - (1822247*(1 - 2*x)^(3/2))/472392 + (923549*(1 - 2*x)^(5/2))/306180 - (256271*(1 - 2*x)^(7/2))/306180 + (3037*(1 - 2*x)^(9/2))/2571912 + (15313*(1 - 2*x)^(11/2))/666792)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729) - (15313*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/4667544","B"
1894,1,144,174,1.192606,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^3)/(3*x + 2)^8,x)","-\frac{\frac{21845\,{\left(1-2\,x\right)}^{3/2}}{19683}-\frac{30583\,\sqrt{1-2\,x}}{78732}-\frac{725323\,{\left(1-2\,x\right)}^{5/2}}{918540}+\frac{57536\,{\left(1-2\,x\right)}^{7/2}}{1250235}+\frac{5639843\,{\left(1-2\,x\right)}^{9/2}}{45008460}-\frac{21845\,{\left(1-2\,x\right)}^{11/2}}{583443}+\frac{4369\,{\left(1-2\,x\right)}^{13/2}}{1815156}}{\frac{1647086\,x}{729}+\frac{117649\,{\left(2\,x-1\right)}^2}{81}+\frac{84035\,{\left(2\,x-1\right)}^3}{81}+\frac{12005\,{\left(2\,x-1\right)}^4}{27}+\frac{343\,{\left(2\,x-1\right)}^5}{3}+\frac{49\,{\left(2\,x-1\right)}^6}{3}+{\left(2\,x-1\right)}^7-\frac{1647086}{2187}}-\frac{4369\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{12706092}","Not used",1,"- ((21845*(1 - 2*x)^(3/2))/19683 - (30583*(1 - 2*x)^(1/2))/78732 - (725323*(1 - 2*x)^(5/2))/918540 + (57536*(1 - 2*x)^(7/2))/1250235 + (5639843*(1 - 2*x)^(9/2))/45008460 - (21845*(1 - 2*x)^(11/2))/583443 + (4369*(1 - 2*x)^(13/2))/1815156)/((1647086*x)/729 + (117649*(2*x - 1)^2)/81 + (84035*(2*x - 1)^3)/81 + (12005*(2*x - 1)^4)/27 + (343*(2*x - 1)^5)/3 + (49*(2*x - 1)^6)/3 + (2*x - 1)^7 - 1647086/2187) - (4369*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/12706092","B"
1895,1,93,134,1.178262,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^6)/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{390625}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{234375}-\frac{167115051\,{\left(1-2\,x\right)}^{5/2}}{2500000}+\frac{70752609\,{\left(1-2\,x\right)}^{7/2}}{700000}-\frac{665817\,{\left(1-2\,x\right)}^{9/2}}{10000}+\frac{507627\,{\left(1-2\,x\right)}^{11/2}}{22000}-\frac{43011\,{\left(1-2\,x\right)}^{13/2}}{10400}+\frac{243\,{\left(1-2\,x\right)}^{15/2}}{800}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{1953125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/1953125 + (22*(1 - 2*x)^(1/2))/390625 + (2*(1 - 2*x)^(3/2))/234375 - (167115051*(1 - 2*x)^(5/2))/2500000 + (70752609*(1 - 2*x)^(7/2))/700000 - (665817*(1 - 2*x)^(9/2))/10000 + (507627*(1 - 2*x)^(11/2))/22000 - (43011*(1 - 2*x)^(13/2))/10400 + (243*(1 - 2*x)^(15/2))/800","B"
1896,1,84,121,0.065148,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^5)/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{78125}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{46875}-\frac{4774713\,{\left(1-2\,x\right)}^{5/2}}{250000}+\frac{806121\,{\left(1-2\,x\right)}^{7/2}}{35000}-\frac{5673\,{\left(1-2\,x\right)}^{9/2}}{500}+\frac{5751\,{\left(1-2\,x\right)}^{11/2}}{2200}-\frac{243\,{\left(1-2\,x\right)}^{13/2}}{1040}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{390625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/390625 + (22*(1 - 2*x)^(1/2))/78125 + (2*(1 - 2*x)^(3/2))/46875 - (4774713*(1 - 2*x)^(5/2))/250000 + (806121*(1 - 2*x)^(7/2))/35000 - (5673*(1 - 2*x)^(9/2))/500 + (5751*(1 - 2*x)^(11/2))/2200 - (243*(1 - 2*x)^(13/2))/1040","B"
1897,1,75,108,1.170096,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^4)/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{15625}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{9375}-\frac{136419\,{\left(1-2\,x\right)}^{5/2}}{25000}+\frac{34371\,{\left(1-2\,x\right)}^{7/2}}{7000}-\frac{321\,{\left(1-2\,x\right)}^{9/2}}{200}+\frac{81\,{\left(1-2\,x\right)}^{11/2}}{440}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{78125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/78125 + (22*(1 - 2*x)^(1/2))/15625 + (2*(1 - 2*x)^(3/2))/9375 - (136419*(1 - 2*x)^(5/2))/25000 + (34371*(1 - 2*x)^(7/2))/7000 - (321*(1 - 2*x)^(9/2))/200 + (81*(1 - 2*x)^(11/2))/440","B"
1898,1,66,95,1.169440,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{3125}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{1875}-\frac{3897\,{\left(1-2\,x\right)}^{5/2}}{2500}+\frac{162\,{\left(1-2\,x\right)}^{7/2}}{175}-\frac{3\,{\left(1-2\,x\right)}^{9/2}}{20}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{15625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/15625 + (22*(1 - 2*x)^(1/2))/3125 + (2*(1 - 2*x)^(3/2))/1875 - (3897*(1 - 2*x)^(5/2))/2500 + (162*(1 - 2*x)^(7/2))/175 - (3*(1 - 2*x)^(9/2))/20","B"
1899,1,57,82,1.182433,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{625}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{375}-\frac{111\,{\left(1-2\,x\right)}^{5/2}}{250}+\frac{9\,{\left(1-2\,x\right)}^{7/2}}{70}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{3125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/3125 + (22*(1 - 2*x)^(1/2))/625 + (2*(1 - 2*x)^(3/2))/375 - (111*(1 - 2*x)^(5/2))/250 + (9*(1 - 2*x)^(7/2))/70","B"
1900,1,48,69,0.069852,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{125}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{75}-\frac{3\,{\left(1-2\,x\right)}^{5/2}}{25}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/625 + (22*(1 - 2*x)^(1/2))/125 + (2*(1 - 2*x)^(3/2))/75 - (3*(1 - 2*x)^(5/2))/25","B"
1901,1,37,56,1.170662,"\text{Not used}","int((1 - 2*x)^(3/2)/(5*x + 3),x)","\frac{22\,\sqrt{1-2\,x}}{25}-\frac{22\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{125}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{15}","Not used",1,"(22*(1 - 2*x)^(1/2))/25 - (22*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/125 + (2*(1 - 2*x)^(3/2))/15","B"
1902,1,46,72,0.094670,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)),x)","\frac{14\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9}-\frac{22\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{25}-\frac{4\,\sqrt{1-2\,x}}{15}","Not used",1,"(14*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9 - (22*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/25 - (4*(1 - 2*x)^(1/2))/15","B"
1903,1,53,77,0.095140,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)),x)","\frac{64\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9}-\frac{22\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{5}+\frac{14\,\sqrt{1-2\,x}}{9\,\left(2\,x+\frac{4}{3}\right)}","Not used",1,"(64*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9 - (22*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/5 + (14*(1 - 2*x)^(1/2))/(9*(2*x + 4/3))","B"
1904,1,71,93,0.089732,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)),x)","\frac{2243\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{63}-22\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{469\,\sqrt{1-2\,x}}{27}-\frac{65\,{\left(1-2\,x\right)}^{3/2}}{9}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(2243*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/63 - 22*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((469*(1 - 2*x)^(1/2))/27 - (65*(1 - 2*x)^(3/2))/9)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1905,1,89,113,1.193868,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)),x)","\frac{78506\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{441}-110\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{16408\,\sqrt{1-2\,x}}{81}-\frac{13852\,{\left(1-2\,x\right)}^{3/2}}{81}+\frac{2276\,{\left(1-2\,x\right)}^{5/2}}{63}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(78506*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/441 - 110*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((16408*(1 - 2*x)^(1/2))/81 - (13852*(1 - 2*x)^(3/2))/81 + (2276*(1 - 2*x)^(5/2))/63)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1906,1,107,133,1.199635,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^5*(5*x + 3)),x)","\frac{10990843\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{12348}-550\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{2297099\,\sqrt{1-2\,x}}{972}-\frac{2923727\,{\left(1-2\,x\right)}^{3/2}}{972}+\frac{2895233\,{\left(1-2\,x\right)}^{5/2}}{2268}-\frac{318643\,{\left(1-2\,x\right)}^{7/2}}{1764}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(10990843*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/12348 - 550*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((2297099*(1 - 2*x)^(1/2))/972 - (2923727*(1 - 2*x)^(3/2))/972 + (2895233*(1 - 2*x)^(5/2))/2268 - (318643*(1 - 2*x)^(7/2))/1764)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1907,1,125,153,1.203008,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^6*(5*x + 3)),x)","\frac{96169877\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}-2750\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{20099611\,\sqrt{1-2\,x}}{729}-\frac{34196722\,{\left(1-2\,x\right)}^{3/2}}{729}+\frac{254579596\,{\left(1-2\,x\right)}^{5/2}}{8505}-\frac{4813954\,{\left(1-2\,x\right)}^{7/2}}{567}+\frac{2788127\,{\left(1-2\,x\right)}^{9/2}}{3087}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(96169877*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609 - 2750*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((20099611*(1 - 2*x)^(1/2))/729 - (34196722*(1 - 2*x)^(3/2))/729 + (254579596*(1 - 2*x)^(5/2))/8505 - (4813954*(1 - 2*x)^(7/2))/567 + (2788127*(1 - 2*x)^(9/2))/3087)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1908,1,91,148,0.070438,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^5)/(5*x + 3)^2,x)","\frac{326\,\sqrt{1-2\,x}}{78125}-\frac{22\,\sqrt{1-2\,x}}{390625\,\left(2\,x+\frac{6}{5}\right)}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{3125}-\frac{434043\,{\left(1-2\,x\right)}^{5/2}}{125000}+\frac{107109\,{\left(1-2\,x\right)}^{7/2}}{35000}-\frac{981\,{\left(1-2\,x\right)}^{9/2}}{1000}+\frac{243\,{\left(1-2\,x\right)}^{11/2}}{2200}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,324{}\mathrm{i}}{390625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*324i)/390625 - (22*(1 - 2*x)^(1/2))/(390625*(2*x + 6/5)) + (326*(1 - 2*x)^(1/2))/78125 + (2*(1 - 2*x)^(3/2))/3125 - (434043*(1 - 2*x)^(5/2))/125000 + (107109*(1 - 2*x)^(7/2))/35000 - (981*(1 - 2*x)^(9/2))/1000 + (243*(1 - 2*x)^(11/2))/2200","B"
1909,1,82,128,0.062418,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^4)/(5*x + 3)^2,x)","\frac{52\,\sqrt{1-2\,x}}{3125}-\frac{22\,\sqrt{1-2\,x}}{78125\,\left(2\,x+\frac{6}{5}\right)}+\frac{8\,{\left(1-2\,x\right)}^{3/2}}{3125}-\frac{12393\,{\left(1-2\,x\right)}^{5/2}}{12500}+\frac{999\,{\left(1-2\,x\right)}^{7/2}}{1750}-\frac{9\,{\left(1-2\,x\right)}^{9/2}}{100}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,258{}\mathrm{i}}{78125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*258i)/78125 - (22*(1 - 2*x)^(1/2))/(78125*(2*x + 6/5)) + (52*(1 - 2*x)^(1/2))/3125 + (8*(1 - 2*x)^(3/2))/3125 - (12393*(1 - 2*x)^(5/2))/12500 + (999*(1 - 2*x)^(7/2))/1750 - (9*(1 - 2*x)^(9/2))/100","B"
1910,1,73,108,0.059096,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^2,x)","\frac{194\,\sqrt{1-2\,x}}{3125}-\frac{22\,\sqrt{1-2\,x}}{15625\,\left(2\,x+\frac{6}{5}\right)}+\frac{6\,{\left(1-2\,x\right)}^{3/2}}{625}-\frac{351\,{\left(1-2\,x\right)}^{5/2}}{1250}+\frac{27\,{\left(1-2\,x\right)}^{7/2}}{350}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,192{}\mathrm{i}}{15625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*192i)/15625 - (22*(1 - 2*x)^(1/2))/(15625*(2*x + 6/5)) + (194*(1 - 2*x)^(1/2))/3125 + (6*(1 - 2*x)^(3/2))/625 - (351*(1 - 2*x)^(5/2))/1250 + (27*(1 - 2*x)^(7/2))/350","B"
1911,1,64,89,1.168658,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^2,x)","\frac{128\,\sqrt{1-2\,x}}{625}-\frac{22\,\sqrt{1-2\,x}}{3125\,\left(2\,x+\frac{6}{5}\right)}+\frac{4\,{\left(1-2\,x\right)}^{3/2}}{125}-\frac{9\,{\left(1-2\,x\right)}^{5/2}}{125}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,126{}\mathrm{i}}{3125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*126i)/3125 - (22*(1 - 2*x)^(1/2))/(3125*(2*x + 6/5)) + (128*(1 - 2*x)^(1/2))/625 + (4*(1 - 2*x)^(3/2))/125 - (9*(1 - 2*x)^(5/2))/125","B"
1912,1,55,76,0.073772,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^2,x)","\frac{62\,\sqrt{1-2\,x}}{125}-\frac{22\,\sqrt{1-2\,x}}{625\,\left(2\,x+\frac{6}{5}\right)}+\frac{2\,{\left(1-2\,x\right)}^{3/2}}{25}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,12{}\mathrm{i}}{125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*12i)/125 - (22*(1 - 2*x)^(1/2))/(625*(2*x + 6/5)) + (62*(1 - 2*x)^(1/2))/125 + (2*(1 - 2*x)^(3/2))/25","B"
1913,1,44,63,0.063323,"\text{Not used}","int((1 - 2*x)^(3/2)/(5*x + 3)^2,x)","\frac{6\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{125}-\frac{22\,\sqrt{1-2\,x}}{125\,\left(2\,x+\frac{6}{5}\right)}-\frac{4\,\sqrt{1-2\,x}}{25}","Not used",1,"(6*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/125 - (22*(1 - 2*x)^(1/2))/(125*(2*x + 6/5)) - (4*(1 - 2*x)^(1/2))/25","B"
1914,1,53,77,0.098453,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^2),x)","\frac{72\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{25}-\frac{14\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3}-\frac{22\,\sqrt{1-2\,x}}{25\,\left(2\,x+\frac{6}{5}\right)}","Not used",1,"(72*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/25 - (14*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3 - (22*(1 - 2*x)^(1/2))/(25*(2*x + 6/5))","B"
1915,1,72,102,1.206829,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^2),x)","\frac{138\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{5}-\frac{134\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3}-\frac{\frac{308\,\sqrt{1-2\,x}}{15}-\frac{136\,{\left(1-2\,x\right)}^{3/2}}{15}}{\frac{136\,x}{15}+{\left(2\,x-1\right)}^2+\frac{3}{5}}","Not used",1,"(138*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/5 - (134*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3 - ((308*(1 - 2*x)^(1/2))/15 - (136*(1 - 2*x)^(3/2))/15)/((136*x)/15 + (2*x - 1)^2 + 3/5)","B"
1916,1,90,127,1.210130,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^2),x)","204\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)-\frac{2311\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{\frac{1771\,\sqrt{1-2\,x}}{5}-\frac{2774\,{\left(1-2\,x\right)}^{3/2}}{9}+67\,{\left(1-2\,x\right)}^{5/2}}{\frac{1414\,x}{45}+\frac{103\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{56}{15}}","Not used",1,"204*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) - (2311*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - ((1771*(1 - 2*x)^(1/2))/5 - (2774*(1 - 2*x)^(3/2))/9 + 67*(1 - 2*x)^(5/2))/((1414*x)/45 + (103*(2*x - 1)^2)/15 + (2*x - 1)^3 - 56/15)","B"
1917,1,108,154,0.092633,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^2),x)","1350\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)-\frac{321161\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{147}-\frac{\frac{738353\,\sqrt{1-2\,x}}{135}-\frac{319649\,{\left(1-2\,x\right)}^{3/2}}{45}+\frac{2905169\,{\left(1-2\,x\right)}^{5/2}}{945}-\frac{9311\,{\left(1-2\,x\right)}^{7/2}}{21}}{\frac{13132\,x}{135}+\frac{476\,{\left(2\,x-1\right)}^2}{15}+\frac{46\,{\left(2\,x-1\right)}^3}{5}+{\left(2\,x-1\right)}^4-\frac{931}{45}}","Not used",1,"1350*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) - (321161*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/147 - ((738353*(1 - 2*x)^(1/2))/135 - (319649*(1 - 2*x)^(3/2))/45 + (2905169*(1 - 2*x)^(5/2))/945 - (9311*(1 - 2*x)^(7/2))/21)/((13132*x)/135 + (476*(2*x - 1)^2)/15 + (46*(2*x - 1)^3)/5 + (2*x - 1)^4 - 931/45)","B"
1918,1,126,181,1.203741,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^5*(5*x + 3)^2),x)","8400\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)-\frac{55953383\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{4116}-\frac{\frac{128637509\,\sqrt{1-2\,x}}{1620}-\frac{55550063\,{\left(1-2\,x\right)}^{3/2}}{405}+\frac{503677267\,{\left(1-2\,x\right)}^{5/2}}{5670}-\frac{169118543\,{\left(1-2\,x\right)}^{7/2}}{6615}+\frac{1622183\,{\left(1-2\,x\right)}^{9/2}}{588}}{\frac{114562\,x}{405}+\frac{16562\,{\left(2\,x-1\right)}^2}{135}+\frac{266\,{\left(2\,x-1\right)}^3}{5}+\frac{173\,{\left(2\,x-1\right)}^4}{15}+{\left(2\,x-1\right)}^5-\frac{686}{9}}","Not used",1,"8400*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) - (55953383*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/4116 - ((128637509*(1 - 2*x)^(1/2))/1620 - (55550063*(1 - 2*x)^(3/2))/405 + (503677267*(1 - 2*x)^(5/2))/5670 - (169118543*(1 - 2*x)^(7/2))/6615 + (1622183*(1 - 2*x)^(9/2))/588)/((114562*x)/405 + (16562*(2*x - 1)^2)/135 + (266*(2*x - 1)^3)/5 + (173*(2*x - 1)^4)/15 + (2*x - 1)^5 - 686/9)","B"
1919,1,92,140,0.056010,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^4)/(5*x + 3)^3,x)","\frac{228\,\sqrt{1-2\,x}}{3125}+\frac{36\,{\left(1-2\,x\right)}^{3/2}}{3125}-\frac{1107\,{\left(1-2\,x\right)}^{5/2}}{6250}+\frac{81\,{\left(1-2\,x\right)}^{7/2}}{1750}-\frac{\frac{2871\,\sqrt{1-2\,x}}{390625}-\frac{259\,{\left(1-2\,x\right)}^{3/2}}{78125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,12279{}\mathrm{i}}{859375}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*12279i)/859375 + (228*(1 - 2*x)^(1/2))/3125 + (36*(1 - 2*x)^(3/2))/3125 - (1107*(1 - 2*x)^(5/2))/6250 + (81*(1 - 2*x)^(7/2))/1750 - ((2871*(1 - 2*x)^(1/2))/390625 - (259*(1 - 2*x)^(3/2))/78125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1920,1,83,120,0.052679,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^3,x)","\frac{558\,\sqrt{1-2\,x}}{3125}+\frac{18\,{\left(1-2\,x\right)}^{3/2}}{625}-\frac{27\,{\left(1-2\,x\right)}^{5/2}}{625}-\frac{\frac{429\,\sqrt{1-2\,x}}{15625}-\frac{193\,{\left(1-2\,x\right)}^{3/2}}{15625}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,5943{}\mathrm{i}}{171875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*5943i)/171875 + (558*(1 - 2*x)^(1/2))/3125 + (18*(1 - 2*x)^(3/2))/625 - (27*(1 - 2*x)^(5/2))/625 - ((429*(1 - 2*x)^(1/2))/15625 - (193*(1 - 2*x)^(3/2))/15625)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1921,1,74,94,1.197809,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^3,x)","\frac{174\,\sqrt{1-2\,x}}{625}+\frac{6\,{\left(1-2\,x\right)}^{3/2}}{125}-\frac{\frac{1419\,\sqrt{1-2\,x}}{15625}-\frac{127\,{\left(1-2\,x\right)}^{3/2}}{3125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,357{}\mathrm{i}}{6875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*357i)/6875 + (174*(1 - 2*x)^(1/2))/625 + (6*(1 - 2*x)^(3/2))/125 - ((1419*(1 - 2*x)^(1/2))/15625 - (127*(1 - 2*x)^(3/2))/3125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1922,1,63,81,1.186452,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^3,x)","\frac{39\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1375}-\frac{12\,\sqrt{1-2\,x}}{125}-\frac{\frac{693\,\sqrt{1-2\,x}}{3125}-\frac{61\,{\left(1-2\,x\right)}^{3/2}}{625}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(39*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1375 - (12*(1 - 2*x)^(1/2))/125 - ((693*(1 - 2*x)^(1/2))/3125 - (61*(1 - 2*x)^(3/2))/625)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1923,1,53,68,0.058304,"\text{Not used}","int((1 - 2*x)^(3/2)/(5*x + 3)^3,x)","\frac{\frac{33\,\sqrt{1-2\,x}}{625}-\frac{{\left(1-2\,x\right)}^{3/2}}{25}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}-\frac{3\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1375}","Not used",1,"((33*(1 - 2*x)^(1/2))/625 - (1 - 2*x)^(3/2)/25)/((44*x)/5 + (2*x - 1)^2 + 11/25) - (3*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1375","B"
1924,1,71,93,1.214400,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^3),x)","14\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)-\frac{2379\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{275}+\frac{\frac{759\,\sqrt{1-2\,x}}{125}-\frac{71\,{\left(1-2\,x\right)}^{3/2}}{25}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"14*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7) - (2379*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/275 + ((759*(1 - 2*x)^(1/2))/125 - (71*(1 - 2*x)^(3/2))/25)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1925,1,89,118,1.204303,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^3),x)","204\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)-\frac{6933\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{55}+\frac{\frac{5159\,\sqrt{1-2\,x}}{25}-\frac{2774\,{\left(1-2\,x\right)}^{3/2}}{15}+\frac{207\,{\left(1-2\,x\right)}^{5/2}}{5}}{\frac{2266\,x}{75}+\frac{101\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{286}{75}}","Not used",1,"204*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7) - (6933*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/55 + ((5159*(1 - 2*x)^(1/2))/25 - (2774*(1 - 2*x)^(3/2))/15 + (207*(1 - 2*x)^(5/2))/5)/((2266*x)/75 + (101*(2*x - 1)^2)/15 + (2*x - 1)^3 - 286/75)","B"
1926,1,107,147,1.217738,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^3),x)","\frac{14073\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{13665\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}+\frac{\frac{355894\,\sqrt{1-2\,x}}{75}-\frac{56576\,{\left(1-2\,x\right)}^{3/2}}{9}+\frac{41618\,{\left(1-2\,x\right)}^{5/2}}{15}-408\,{\left(1-2\,x\right)}^{7/2}}{\frac{20944\,x}{225}+\frac{6934\,{\left(2\,x-1\right)}^2}{225}+\frac{136\,{\left(2\,x-1\right)}^3}{15}+{\left(2\,x-1\right)}^4-\frac{4543}{225}}","Not used",1,"(14073*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - (13665*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 + ((355894*(1 - 2*x)^(1/2))/75 - (56576*(1 - 2*x)^(3/2))/9 + (41618*(1 - 2*x)^(5/2))/15 - 408*(1 - 2*x)^(7/2))/((20944*x)/225 + (6934*(2*x - 1)^2)/225 + (136*(2*x - 1)^3)/15 + (2*x - 1)^4 - 4543/225)","B"
1927,1,125,178,0.103468,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^3),x)","\frac{813716\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{112875\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}+\frac{\frac{6859391\,\sqrt{1-2\,x}}{75}-\frac{108239776\,{\left(1-2\,x\right)}^{3/2}}{675}+\frac{166006054\,{\left(1-2\,x\right)}^{5/2}}{1575}-\frac{9696248\,{\left(1-2\,x\right)}^{7/2}}{315}+\frac{23591\,{\left(1-2\,x\right)}^{9/2}}{7}}{\frac{182182\,x}{675}+\frac{79954\,{\left(2\,x-1\right)}^2}{675}+\frac{3898\,{\left(2\,x-1\right)}^3}{75}+\frac{57\,{\left(2\,x-1\right)}^4}{5}+{\left(2\,x-1\right)}^5-\frac{49588}{675}}","Not used",1,"(813716*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - (112875*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 + ((6859391*(1 - 2*x)^(1/2))/75 - (108239776*(1 - 2*x)^(3/2))/675 + (166006054*(1 - 2*x)^(5/2))/1575 - (9696248*(1 - 2*x)^(7/2))/315 + (23591*(1 - 2*x)^(9/2))/7)/((182182*x)/675 + (79954*(2*x - 1)^2)/675 + (3898*(2*x - 1)^3)/75 + (57*(2*x - 1)^4)/5 + (2*x - 1)^5 - 49588/675)","B"
1928,1,73,105,0.032243,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^6*(5*x + 3),x)","\frac{3916031\,{\left(1-2\,x\right)}^{9/2}}{1152}-\frac{184877\,{\left(1-2\,x\right)}^{7/2}}{128}-\frac{5078115\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{3658095\,{\left(1-2\,x\right)}^{13/2}}{1664}-\frac{105399\,{\left(1-2\,x\right)}^{15/2}}{128}+\frac{409941\,{\left(1-2\,x\right)}^{17/2}}{2176}-\frac{59049\,{\left(1-2\,x\right)}^{19/2}}{2432}+\frac{1215\,{\left(1-2\,x\right)}^{21/2}}{896}","Not used",1,"(3916031*(1 - 2*x)^(9/2))/1152 - (184877*(1 - 2*x)^(7/2))/128 - (5078115*(1 - 2*x)^(11/2))/1408 + (3658095*(1 - 2*x)^(13/2))/1664 - (105399*(1 - 2*x)^(15/2))/128 + (409941*(1 - 2*x)^(17/2))/2176 - (59049*(1 - 2*x)^(19/2))/2432 + (1215*(1 - 2*x)^(21/2))/896","B"
1929,1,64,92,0.028660,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^5*(5*x + 3),x)","\frac{60025\,{\left(1-2\,x\right)}^{9/2}}{72}-\frac{26411\,{\left(1-2\,x\right)}^{7/2}}{64}-\frac{519645\,{\left(1-2\,x\right)}^{11/2}}{704}+\frac{37485\,{\left(1-2\,x\right)}^{13/2}}{104}-\frac{6489\,{\left(1-2\,x\right)}^{15/2}}{64}+\frac{1053\,{\left(1-2\,x\right)}^{17/2}}{68}-\frac{1215\,{\left(1-2\,x\right)}^{19/2}}{1216}","Not used",1,"(60025*(1 - 2*x)^(9/2))/72 - (26411*(1 - 2*x)^(7/2))/64 - (519645*(1 - 2*x)^(11/2))/704 + (37485*(1 - 2*x)^(13/2))/104 - (6489*(1 - 2*x)^(15/2))/64 + (1053*(1 - 2*x)^(17/2))/68 - (1215*(1 - 2*x)^(19/2))/1216","B"
1930,1,55,79,0.027417,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^4*(5*x + 3),x)","\frac{57281\,{\left(1-2\,x\right)}^{9/2}}{288}-\frac{3773\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{24843\,{\left(1-2\,x\right)}^{11/2}}{176}+\frac{10773\,{\left(1-2\,x\right)}^{13/2}}{208}-\frac{1557\,{\left(1-2\,x\right)}^{15/2}}{160}+\frac{405\,{\left(1-2\,x\right)}^{17/2}}{544}","Not used",1,"(57281*(1 - 2*x)^(9/2))/288 - (3773*(1 - 2*x)^(7/2))/32 - (24843*(1 - 2*x)^(11/2))/176 + (10773*(1 - 2*x)^(13/2))/208 - (1557*(1 - 2*x)^(15/2))/160 + (405*(1 - 2*x)^(17/2))/544","B"
1931,1,46,66,0.023558,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3),x)","\frac{3283\,{\left(1-2\,x\right)}^{9/2}}{72}-\frac{539\,{\left(1-2\,x\right)}^{7/2}}{16}-\frac{1071\,{\left(1-2\,x\right)}^{11/2}}{44}+\frac{621\,{\left(1-2\,x\right)}^{13/2}}{104}-\frac{9\,{\left(1-2\,x\right)}^{15/2}}{16}","Not used",1,"(3283*(1 - 2*x)^(9/2))/72 - (539*(1 - 2*x)^(7/2))/16 - (1071*(1 - 2*x)^(11/2))/44 + (621*(1 - 2*x)^(13/2))/104 - (9*(1 - 2*x)^(15/2))/16","B"
1932,1,37,53,0.035437,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3),x)","\frac{707\,{\left(1-2\,x\right)}^{9/2}}{72}-\frac{77\,{\left(1-2\,x\right)}^{7/2}}{8}-\frac{309\,{\left(1-2\,x\right)}^{11/2}}{88}+\frac{45\,{\left(1-2\,x\right)}^{13/2}}{104}","Not used",1,"(707*(1 - 2*x)^(9/2))/72 - (77*(1 - 2*x)^(7/2))/8 - (309*(1 - 2*x)^(11/2))/88 + (45*(1 - 2*x)^(13/2))/104","B"
1933,1,23,40,0.034943,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3),x)","-\frac{{\left(1-2\,x\right)}^{7/2}\,\left(1496\,x+135\,{\left(2\,x-1\right)}^2+341\right)}{396}","Not used",1,"-((1 - 2*x)^(7/2)*(1496*x + 135*(2*x - 1)^2 + 341))/396","B"
1934,1,14,27,0.023285,"\text{Not used}","int((1 - 2*x)^(5/2)*(5*x + 3),x)","-\frac{{\left(1-2\,x\right)}^{7/2}\,\left(70\,x+64\right)}{126}","Not used",1,"-((1 - 2*x)^(7/2)*(70*x + 64))/126","B"
1935,1,57,82,1.179037,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2),x)","-\frac{98\,\sqrt{1-2\,x}}{81}-\frac{14\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{2\,{\left(1-2\,x\right)}^{5/2}}{45}-\frac{5\,{\left(1-2\,x\right)}^{7/2}}{21}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,98{}\mathrm{i}}{243}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*98i)/243 - (98*(1 - 2*x)^(1/2))/81 - (14*(1 - 2*x)^(3/2))/81 - (2*(1 - 2*x)^(5/2))/45 - (5*(1 - 2*x)^(7/2))/21","B"
1936,1,64,89,0.055952,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2)^2,x)","\frac{98\,\sqrt{1-2\,x}}{243\,\left(2\,x+\frac{4}{3}\right)}+\frac{182\,\sqrt{1-2\,x}}{27}+\frac{74\,{\left(1-2\,x\right)}^{3/2}}{81}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{9}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,560{}\mathrm{i}}{243}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*560i)/243 + (98*(1 - 2*x)^(1/2))/(243*(2*x + 4/3)) + (182*(1 - 2*x)^(1/2))/27 + (74*(1 - 2*x)^(3/2))/81 + (2*(1 - 2*x)^(5/2))/9","B"
1937,1,74,96,1.205670,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2)^3,x)","-\frac{32\,\sqrt{1-2\,x}}{9}-\frac{20\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{\frac{3773\,\sqrt{1-2\,x}}{729}-\frac{553\,{\left(1-2\,x\right)}^{3/2}}{243}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,365{}\mathrm{i}}{243}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*365i)/243 - (32*(1 - 2*x)^(1/2))/9 - (20*(1 - 2*x)^(3/2))/81 - ((3773*(1 - 2*x)^(1/2))/729 - (553*(1 - 2*x)^(3/2))/243)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1938,1,80,101,0.059823,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2)^4,x)","\frac{40\,\sqrt{1-2\,x}}{81}-\frac{530\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1701}+\frac{\frac{12250\,\sqrt{1-2\,x}}{2187}-\frac{12040\,{\left(1-2\,x\right)}^{3/2}}{2187}+\frac{326\,{\left(1-2\,x\right)}^{5/2}}{243}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(40*(1 - 2*x)^(1/2))/81 - (530*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1701 + ((12250*(1 - 2*x)^(1/2))/2187 - (12040*(1 - 2*x)^(3/2))/2187 + (326*(1 - 2*x)^(5/2))/243)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1939,1,90,108,1.184716,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2)^5,x)","\frac{695\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{47628}-\frac{\frac{34055\,\sqrt{1-2\,x}}{26244}-\frac{53515\,{\left(1-2\,x\right)}^{3/2}}{26244}+\frac{10147\,{\left(1-2\,x\right)}^{5/2}}{8748}-\frac{515\,{\left(1-2\,x\right)}^{7/2}}{2268}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(695*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/47628 - ((34055*(1 - 2*x)^(1/2))/26244 - (53515*(1 - 2*x)^(3/2))/26244 + (10147*(1 - 2*x)^(5/2))/8748 - (515*(1 - 2*x)^(7/2))/2268)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1940,1,107,128,0.072249,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2)^6,x)","\frac{43\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{83349}+\frac{\frac{4214\,{\left(1-2\,x\right)}^{3/2}}{19683}-\frac{2107\,\sqrt{1-2\,x}}{19683}-\frac{5504\,{\left(1-2\,x\right)}^{5/2}}{32805}+\frac{74\,{\left(1-2\,x\right)}^{7/2}}{2187}+\frac{43\,{\left(1-2\,x\right)}^{9/2}}{11907}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(43*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/83349 + ((4214*(1 - 2*x)^(3/2))/19683 - (2107*(1 - 2*x)^(1/2))/19683 - (5504*(1 - 2*x)^(5/2))/32805 + (74*(1 - 2*x)^(7/2))/2187 + (43*(1 - 2*x)^(9/2))/11907)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1941,1,126,148,0.077725,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3))/(3*x + 2)^7,x)","\frac{205\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{4667544}-\frac{\frac{10045\,\sqrt{1-2\,x}}{472392}-\frac{24395\,{\left(1-2\,x\right)}^{3/2}}{472392}+\frac{451\,{\left(1-2\,x\right)}^{5/2}}{8748}-\frac{439\,{\left(1-2\,x\right)}^{7/2}}{61236}-\frac{3485\,{\left(1-2\,x\right)}^{9/2}}{857304}+\frac{205\,{\left(1-2\,x\right)}^{11/2}}{666792}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}","Not used",1,"(205*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/4667544 - ((10045*(1 - 2*x)^(1/2))/472392 - (24395*(1 - 2*x)^(3/2))/472392 + (451*(1 - 2*x)^(5/2))/8748 - (439*(1 - 2*x)^(7/2))/61236 - (3485*(1 - 2*x)^(9/2))/857304 + (205*(1 - 2*x)^(11/2))/666792)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729)","B"
1942,1,64,92,0.030931,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^4*(5*x + 3)^2,x)","\frac{381073\,{\left(1-2\,x\right)}^{9/2}}{288}-\frac{41503\,{\left(1-2\,x\right)}^{7/2}}{64}-\frac{832951\,{\left(1-2\,x\right)}^{11/2}}{704}+\frac{121359\,{\left(1-2\,x\right)}^{13/2}}{208}-\frac{53037\,{\left(1-2\,x\right)}^{15/2}}{320}+\frac{13905\,{\left(1-2\,x\right)}^{17/2}}{544}-\frac{2025\,{\left(1-2\,x\right)}^{19/2}}{1216}","Not used",1,"(381073*(1 - 2*x)^(9/2))/288 - (41503*(1 - 2*x)^(7/2))/64 - (832951*(1 - 2*x)^(11/2))/704 + (121359*(1 - 2*x)^(13/2))/208 - (53037*(1 - 2*x)^(15/2))/320 + (13905*(1 - 2*x)^(17/2))/544 - (2025*(1 - 2*x)^(19/2))/1216","B"
1943,1,55,79,0.026278,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^2,x)","\frac{91091\,{\left(1-2\,x\right)}^{9/2}}{288}-\frac{5929\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{39977\,{\left(1-2\,x\right)}^{11/2}}{176}+\frac{17541\,{\left(1-2\,x\right)}^{13/2}}{208}-\frac{513\,{\left(1-2\,x\right)}^{15/2}}{32}+\frac{675\,{\left(1-2\,x\right)}^{17/2}}{544}","Not used",1,"(91091*(1 - 2*x)^(9/2))/288 - (5929*(1 - 2*x)^(7/2))/32 - (39977*(1 - 2*x)^(11/2))/176 + (17541*(1 - 2*x)^(13/2))/208 - (513*(1 - 2*x)^(15/2))/32 + (675*(1 - 2*x)^(17/2))/544","B"
1944,1,46,66,0.025487,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^2,x)","\frac{1309\,{\left(1-2\,x\right)}^{9/2}}{18}-\frac{847\,{\left(1-2\,x\right)}^{7/2}}{16}-\frac{3467\,{\left(1-2\,x\right)}^{11/2}}{88}+\frac{255\,{\left(1-2\,x\right)}^{13/2}}{26}-\frac{15\,{\left(1-2\,x\right)}^{15/2}}{16}","Not used",1,"(1309*(1 - 2*x)^(9/2))/18 - (847*(1 - 2*x)^(7/2))/16 - (3467*(1 - 2*x)^(11/2))/88 + (255*(1 - 2*x)^(13/2))/26 - (15*(1 - 2*x)^(15/2))/16","B"
1945,1,37,53,0.039196,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^2,x)","\frac{1133\,{\left(1-2\,x\right)}^{9/2}}{72}-\frac{121\,{\left(1-2\,x\right)}^{7/2}}{8}-\frac{505\,{\left(1-2\,x\right)}^{11/2}}{88}+\frac{75\,{\left(1-2\,x\right)}^{13/2}}{104}","Not used",1,"(1133*(1 - 2*x)^(9/2))/72 - (121*(1 - 2*x)^(7/2))/8 - (505*(1 - 2*x)^(11/2))/88 + (75*(1 - 2*x)^(13/2))/104","B"
1946,1,23,40,0.030594,"\text{Not used}","int((1 - 2*x)^(5/2)*(5*x + 3)^2,x)","-\frac{{\left(1-2\,x\right)}^{7/2}\,\left(16940\,x+1575\,{\left(2\,x-1\right)}^2+3509\right)}{2772}","Not used",1,"-((1 - 2*x)^(7/2)*(16940*x + 1575*(2*x - 1)^2 + 3509))/2772","B"
1947,1,66,95,1.189563,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2),x)","\frac{98\,\sqrt{1-2\,x}}{243}+\frac{14\,{\left(1-2\,x\right)}^{3/2}}{243}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{135}-\frac{155\,{\left(1-2\,x\right)}^{7/2}}{126}+\frac{25\,{\left(1-2\,x\right)}^{9/2}}{54}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,98{}\mathrm{i}}{729}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*98i)/729 + (98*(1 - 2*x)^(1/2))/243 + (14*(1 - 2*x)^(3/2))/243 + (2*(1 - 2*x)^(5/2))/135 - (155*(1 - 2*x)^(7/2))/126 + (25*(1 - 2*x)^(9/2))/54","B"
1948,1,73,102,1.183640,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^2,x)","-\frac{98\,\sqrt{1-2\,x}}{729\,\left(2\,x+\frac{4}{3}\right)}-\frac{1036\,\sqrt{1-2\,x}}{243}-\frac{16\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{4\,{\left(1-2\,x\right)}^{5/2}}{27}-\frac{25\,{\left(1-2\,x\right)}^{7/2}}{63}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,350{}\mathrm{i}}{243}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*350i)/243 - (98*(1 - 2*x)^(1/2))/(729*(2*x + 4/3)) - (1036*(1 - 2*x)^(1/2))/243 - (16*(1 - 2*x)^(3/2))/27 - (4*(1 - 2*x)^(5/2))/27 - (25*(1 - 2*x)^(7/2))/63","B"
1949,1,82,109,0.058091,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^3,x)","\frac{1006\,\sqrt{1-2\,x}}{81}+\frac{130\,{\left(1-2\,x\right)}^{3/2}}{81}+\frac{10\,{\left(1-2\,x\right)}^{5/2}}{27}+\frac{\frac{2401\,\sqrt{1-2\,x}}{729}-\frac{1043\,{\left(1-2\,x\right)}^{3/2}}{729}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,1055{}\mathrm{i}}{243}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*1055i)/243 + (1006*(1 - 2*x)^(1/2))/81 + (130*(1 - 2*x)^(3/2))/81 + (10*(1 - 2*x)^(5/2))/27 + ((2401*(1 - 2*x)^(1/2))/729 - (1043*(1 - 2*x)^(3/2))/729)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1950,1,92,114,0.067832,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^4,x)","-\frac{1480\,\sqrt{1-2\,x}}{243}-\frac{100\,{\left(1-2\,x\right)}^{3/2}}{243}-\frac{\frac{144305\,\sqrt{1-2\,x}}{6561}-\frac{126700\,{\left(1-2\,x\right)}^{3/2}}{6561}+\frac{3091\,{\left(1-2\,x\right)}^{5/2}}{729}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,4435{}\mathrm{i}}{1701}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*4435i)/1701 - (1480*(1 - 2*x)^(1/2))/243 - (100*(1 - 2*x)^(3/2))/243 - ((144305*(1 - 2*x)^(1/2))/6561 - (126700*(1 - 2*x)^(3/2))/6561 + (3091*(1 - 2*x)^(5/2))/729)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1951,1,98,121,0.063249,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^5,x)","\frac{200\,\sqrt{1-2\,x}}{243}-\frac{24965\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{47628}+\frac{\frac{1749055\,\sqrt{1-2\,x}}{78732}-\frac{824705\,{\left(1-2\,x\right)}^{3/2}}{26244}+\frac{129289\,{\left(1-2\,x\right)}^{5/2}}{8748}-\frac{47185\,{\left(1-2\,x\right)}^{7/2}}{20412}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(200*(1 - 2*x)^(1/2))/243 - (24965*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/47628 + ((1749055*(1 - 2*x)^(1/2))/78732 - (824705*(1 - 2*x)^(3/2))/26244 + (129289*(1 - 2*x)^(5/2))/8748 - (47185*(1 - 2*x)^(7/2))/20412)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1952,1,108,128,0.071473,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^6,x)","\frac{8051\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{333396}-\frac{\frac{394499\,\sqrt{1-2\,x}}{78732}-\frac{394499\,{\left(1-2\,x\right)}^{3/2}}{39366}+\frac{257632\,{\left(1-2\,x\right)}^{5/2}}{32805}-\frac{12269\,{\left(1-2\,x\right)}^{7/2}}{4374}+\frac{54247\,{\left(1-2\,x\right)}^{9/2}}{142884}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(8051*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/333396 - ((394499*(1 - 2*x)^(1/2))/78732 - (394499*(1 - 2*x)^(3/2))/39366 + (257632*(1 - 2*x)^(5/2))/32805 - (12269*(1 - 2*x)^(7/2))/4374 + (54247*(1 - 2*x)^(9/2))/142884)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1953,1,126,148,1.181112,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^7,x)","\frac{1315\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1555848}-\frac{\frac{64435\,\sqrt{1-2\,x}}{157464}-\frac{156485\,{\left(1-2\,x\right)}^{3/2}}{157464}+\frac{2893\,{\left(1-2\,x\right)}^{5/2}}{2916}-\frac{8345\,{\left(1-2\,x\right)}^{7/2}}{20412}+\frac{112405\,{\left(1-2\,x\right)}^{9/2}}{2571912}+\frac{1315\,{\left(1-2\,x\right)}^{11/2}}{222264}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}","Not used",1,"(1315*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1555848 - ((64435*(1 - 2*x)^(1/2))/157464 - (156485*(1 - 2*x)^(3/2))/157464 + (2893*(1 - 2*x)^(5/2))/2916 - (8345*(1 - 2*x)^(7/2))/20412 + (112405*(1 - 2*x)^(9/2))/2571912 + (1315*(1 - 2*x)^(11/2))/222264)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729)","B"
1954,1,143,168,1.186393,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^2)/(3*x + 2)^8,x)","\frac{\frac{81725\,{\left(1-2\,x\right)}^{3/2}}{354294}-\frac{114415\,\sqrt{1-2\,x}}{1417176}-\frac{132161\,{\left(1-2\,x\right)}^{5/2}}{472392}+\frac{36544\,{\left(1-2\,x\right)}^{7/2}}{321489}+\frac{6721\,{\left(1-2\,x\right)}^{9/2}}{2571912}-\frac{11675\,{\left(1-2\,x\right)}^{11/2}}{1500282}+\frac{2335\,{\left(1-2\,x\right)}^{13/2}}{4667544}}{\frac{1647086\,x}{729}+\frac{117649\,{\left(2\,x-1\right)}^2}{81}+\frac{84035\,{\left(2\,x-1\right)}^3}{81}+\frac{12005\,{\left(2\,x-1\right)}^4}{27}+\frac{343\,{\left(2\,x-1\right)}^5}{3}+\frac{49\,{\left(2\,x-1\right)}^6}{3}+{\left(2\,x-1\right)}^7-\frac{1647086}{2187}}+\frac{2335\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{32672808}","Not used",1,"((81725*(1 - 2*x)^(3/2))/354294 - (114415*(1 - 2*x)^(1/2))/1417176 - (132161*(1 - 2*x)^(5/2))/472392 + (36544*(1 - 2*x)^(7/2))/321489 + (6721*(1 - 2*x)^(9/2))/2571912 - (11675*(1 - 2*x)^(11/2))/1500282 + (2335*(1 - 2*x)^(13/2))/4667544)/((1647086*x)/729 + (117649*(2*x - 1)^2)/81 + (84035*(2*x - 1)^3)/81 + (12005*(2*x - 1)^4)/27 + (343*(2*x - 1)^5)/3 + (49*(2*x - 1)^6)/3 + (2*x - 1)^7 - 1647086/2187) + (2335*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/32672808","B"
1955,1,73,105,0.032982,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^4*(5*x + 3)^3,x)","\frac{3278737\,{\left(1-2\,x\right)}^{9/2}}{384}-\frac{456533\,{\left(1-2\,x\right)}^{7/2}}{128}-\frac{1179381\,{\left(1-2\,x\right)}^{11/2}}{128}+\frac{9504551\,{\left(1-2\,x\right)}^{13/2}}{1664}-\frac{1392467\,{\left(1-2\,x\right)}^{15/2}}{640}+\frac{1101465\,{\left(1-2\,x\right)}^{17/2}}{2176}-\frac{161325\,{\left(1-2\,x\right)}^{19/2}}{2432}+\frac{3375\,{\left(1-2\,x\right)}^{21/2}}{896}","Not used",1,"(3278737*(1 - 2*x)^(9/2))/384 - (456533*(1 - 2*x)^(7/2))/128 - (1179381*(1 - 2*x)^(11/2))/128 + (9504551*(1 - 2*x)^(13/2))/1664 - (1392467*(1 - 2*x)^(15/2))/640 + (1101465*(1 - 2*x)^(17/2))/2176 - (161325*(1 - 2*x)^(19/2))/2432 + (3375*(1 - 2*x)^(21/2))/896","B"
1956,1,64,92,0.029756,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^3,x)","\frac{100793\,{\left(1-2\,x\right)}^{9/2}}{48}-\frac{65219\,{\left(1-2\,x\right)}^{7/2}}{64}-\frac{121359\,{\left(1-2\,x\right)}^{11/2}}{64}+\frac{98209\,{\left(1-2\,x\right)}^{13/2}}{104}-\frac{17337\,{\left(1-2\,x\right)}^{15/2}}{64}+\frac{675\,{\left(1-2\,x\right)}^{17/2}}{16}-\frac{3375\,{\left(1-2\,x\right)}^{19/2}}{1216}","Not used",1,"(100793*(1 - 2*x)^(9/2))/48 - (65219*(1 - 2*x)^(7/2))/64 - (121359*(1 - 2*x)^(11/2))/64 + (98209*(1 - 2*x)^(13/2))/104 - (17337*(1 - 2*x)^(15/2))/64 + (675*(1 - 2*x)^(17/2))/16 - (3375*(1 - 2*x)^(19/2))/1216","B"
1957,1,55,79,0.026608,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^3,x)","\frac{16093\,{\left(1-2\,x\right)}^{9/2}}{32}-\frac{9317\,{\left(1-2\,x\right)}^{7/2}}{32}-\frac{5847\,{\left(1-2\,x\right)}^{11/2}}{16}+\frac{28555\,{\left(1-2\,x\right)}^{13/2}}{208}-\frac{845\,{\left(1-2\,x\right)}^{15/2}}{32}+\frac{1125\,{\left(1-2\,x\right)}^{17/2}}{544}","Not used",1,"(16093*(1 - 2*x)^(9/2))/32 - (9317*(1 - 2*x)^(7/2))/32 - (5847*(1 - 2*x)^(11/2))/16 + (28555*(1 - 2*x)^(13/2))/208 - (845*(1 - 2*x)^(15/2))/32 + (1125*(1 - 2*x)^(17/2))/544","B"
1958,1,46,66,0.024075,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^3,x)","\frac{2783\,{\left(1-2\,x\right)}^{9/2}}{24}-\frac{1331\,{\left(1-2\,x\right)}^{7/2}}{16}-\frac{255\,{\left(1-2\,x\right)}^{11/2}}{4}+\frac{1675\,{\left(1-2\,x\right)}^{13/2}}{104}-\frac{25\,{\left(1-2\,x\right)}^{15/2}}{16}","Not used",1,"(2783*(1 - 2*x)^(9/2))/24 - (1331*(1 - 2*x)^(7/2))/16 - (255*(1 - 2*x)^(11/2))/4 + (1675*(1 - 2*x)^(13/2))/104 - (25*(1 - 2*x)^(15/2))/16","B"
1959,1,37,53,0.034702,"\text{Not used}","int((1 - 2*x)^(5/2)*(5*x + 3)^3,x)","\frac{605\,{\left(1-2\,x\right)}^{9/2}}{24}-\frac{1331\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{75\,{\left(1-2\,x\right)}^{11/2}}{8}+\frac{125\,{\left(1-2\,x\right)}^{13/2}}{104}","Not used",1,"(605*(1 - 2*x)^(9/2))/24 - (1331*(1 - 2*x)^(7/2))/56 - (75*(1 - 2*x)^(11/2))/8 + (125*(1 - 2*x)^(13/2))/104","B"
1960,1,75,108,1.173643,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2),x)","\frac{400\,{\left(1-2\,x\right)}^{9/2}}{81}-\frac{14\,{\left(1-2\,x\right)}^{3/2}}{729}-\frac{2\,{\left(1-2\,x\right)}^{5/2}}{405}-\frac{5135\,{\left(1-2\,x\right)}^{7/2}}{756}-\frac{98\,\sqrt{1-2\,x}}{729}-\frac{125\,{\left(1-2\,x\right)}^{11/2}}{132}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,98{}\mathrm{i}}{2187}","Not used",1,"(400*(1 - 2*x)^(9/2))/81 - (98*(1 - 2*x)^(1/2))/729 - (14*(1 - 2*x)^(3/2))/729 - (2*(1 - 2*x)^(5/2))/405 - (5135*(1 - 2*x)^(7/2))/756 - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*98i)/2187 - (125*(1 - 2*x)^(11/2))/132","B"
1961,1,82,121,1.175725,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^2,x)","\frac{98\,\sqrt{1-2\,x}}{2187\,\left(2\,x+\frac{4}{3}\right)}+\frac{1526\,\sqrt{1-2\,x}}{729}+\frac{214\,{\left(1-2\,x\right)}^{3/2}}{729}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{27}-\frac{725\,{\left(1-2\,x\right)}^{7/2}}{378}+\frac{125\,{\left(1-2\,x\right)}^{9/2}}{162}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,1540{}\mathrm{i}}{2187}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*1540i)/2187 + (98*(1 - 2*x)^(1/2))/(2187*(2*x + 4/3)) + (1526*(1 - 2*x)^(1/2))/729 + (214*(1 - 2*x)^(3/2))/729 + (2*(1 - 2*x)^(5/2))/27 - (725*(1 - 2*x)^(7/2))/378 + (125*(1 - 2*x)^(9/2))/162","B"
1962,1,92,135,0.061393,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^3,x)","-\frac{8198\,\sqrt{1-2\,x}}{729}-\frac{370\,{\left(1-2\,x\right)}^{3/2}}{243}-\frac{10\,{\left(1-2\,x\right)}^{5/2}}{27}-\frac{125\,{\left(1-2\,x\right)}^{7/2}}{189}-\frac{\frac{10633\,\sqrt{1-2\,x}}{6561}-\frac{511\,{\left(1-2\,x\right)}^{3/2}}{729}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,935{}\mathrm{i}}{243}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*935i)/243 - (8198*(1 - 2*x)^(1/2))/729 - (370*(1 - 2*x)^(3/2))/243 - (10*(1 - 2*x)^(5/2))/27 - (125*(1 - 2*x)^(7/2))/189 - ((10633*(1 - 2*x)^(1/2))/6561 - (511*(1 - 2*x)^(3/2))/729)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1963,1,100,147,0.053562,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^4,x)","\frac{16570\,\sqrt{1-2\,x}}{729}+\frac{2050\,{\left(1-2\,x\right)}^{3/2}}{729}+\frac{50\,{\left(1-2\,x\right)}^{5/2}}{81}+\frac{\frac{396410\,\sqrt{1-2\,x}}{19683}-\frac{344260\,{\left(1-2\,x\right)}^{3/2}}{19683}+\frac{8306\,{\left(1-2\,x\right)}^{5/2}}{2187}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,41360{}\mathrm{i}}{5103}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*41360i)/5103 + (16570*(1 - 2*x)^(1/2))/729 + (2050*(1 - 2*x)^(3/2))/729 + (50*(1 - 2*x)^(5/2))/81 + ((396410*(1 - 2*x)^(1/2))/19683 - (344260*(1 - 2*x)^(3/2))/19683 + (8306*(1 - 2*x)^(5/2))/2187)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1964,1,110,154,0.068459,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^5,x)","-\frac{7600\,\sqrt{1-2\,x}}{729}-\frac{500\,{\left(1-2\,x\right)}^{3/2}}{729}-\frac{\frac{21951755\,\sqrt{1-2\,x}}{236196}-\frac{28870415\,{\left(1-2\,x\right)}^{3/2}}{236196}+\frac{4220087\,{\left(1-2\,x\right)}^{5/2}}{78732}-\frac{1975\,{\left(1-2\,x\right)}^{7/2}}{252}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,645865{}\mathrm{i}}{142884}","Not used",1,"- (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*645865i)/142884 - (7600*(1 - 2*x)^(1/2))/729 - (500*(1 - 2*x)^(3/2))/729 - ((21951755*(1 - 2*x)^(1/2))/236196 - (28870415*(1 - 2*x)^(3/2))/236196 + (4220087*(1 - 2*x)^(5/2))/78732 - (1975*(1 - 2*x)^(7/2))/252)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1965,1,116,161,1.178294,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^6,x)","\frac{1000\,\sqrt{1-2\,x}}{729}-\frac{146971\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{166698}+\frac{\frac{31200211\,\sqrt{1-2\,x}}{354294}-\frac{9599737\,{\left(1-2\,x\right)}^{3/2}}{59049}+\frac{11068432\,{\left(1-2\,x\right)}^{5/2}}{98415}-\frac{226727\,{\left(1-2\,x\right)}^{7/2}}{6561}+\frac{284287\,{\left(1-2\,x\right)}^{9/2}}{71442}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(1000*(1 - 2*x)^(1/2))/729 - (146971*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/166698 + ((31200211*(1 - 2*x)^(1/2))/354294 - (9599737*(1 - 2*x)^(3/2))/59049 + (11068432*(1 - 2*x)^(5/2))/98415 - (226727*(1 - 2*x)^(7/2))/6561 + (284287*(1 - 2*x)^(9/2))/71442)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1966,1,126,162,1.191008,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^7,x)","\frac{559625\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{14002632}-\frac{\frac{27421625\,\sqrt{1-2\,x}}{1417176}-\frac{66595375\,{\left(1-2\,x\right)}^{3/2}}{1417176}+\frac{1231175\,{\left(1-2\,x\right)}^{5/2}}{26244}-\frac{4383467\,{\left(1-2\,x\right)}^{7/2}}{183708}+\frac{47350325\,{\left(1-2\,x\right)}^{9/2}}{7715736}-\frac{3809125\,{\left(1-2\,x\right)}^{11/2}}{6001128}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}","Not used",1,"(559625*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/14002632 - ((27421625*(1 - 2*x)^(1/2))/1417176 - (66595375*(1 - 2*x)^(3/2))/1417176 + (1231175*(1 - 2*x)^(5/2))/26244 - (4383467*(1 - 2*x)^(7/2))/183708 + (47350325*(1 - 2*x)^(9/2))/7715736 - (3809125*(1 - 2*x)^(11/2))/6001128)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729)","B"
1967,1,143,181,1.193046,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^3)/(3*x + 2)^8,x)","\frac{\frac{2375450\,{\left(1-2\,x\right)}^{3/2}}{531441}-\frac{1662815\,\sqrt{1-2\,x}}{1062882}-\frac{1920721\,{\left(1-2\,x\right)}^{5/2}}{354294}+\frac{3091616\,{\left(1-2\,x\right)}^{7/2}}{964467}-\frac{4931597\,{\left(1-2\,x\right)}^{9/2}}{5786802}+\frac{353950\,{\left(1-2\,x\right)}^{11/2}}{6751269}+\frac{33935\,{\left(1-2\,x\right)}^{13/2}}{3500658}}{\frac{1647086\,x}{729}+\frac{117649\,{\left(2\,x-1\right)}^2}{81}+\frac{84035\,{\left(2\,x-1\right)}^3}{81}+\frac{12005\,{\left(2\,x-1\right)}^4}{27}+\frac{343\,{\left(2\,x-1\right)}^5}{3}+\frac{49\,{\left(2\,x-1\right)}^6}{3}+{\left(2\,x-1\right)}^7-\frac{1647086}{2187}}+\frac{33935\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{24504606}","Not used",1,"((2375450*(1 - 2*x)^(3/2))/531441 - (1662815*(1 - 2*x)^(1/2))/1062882 - (1920721*(1 - 2*x)^(5/2))/354294 + (3091616*(1 - 2*x)^(7/2))/964467 - (4931597*(1 - 2*x)^(9/2))/5786802 + (353950*(1 - 2*x)^(11/2))/6751269 + (33935*(1 - 2*x)^(13/2))/3500658)/((1647086*x)/729 + (117649*(2*x - 1)^2)/81 + (84035*(2*x - 1)^3)/81 + (12005*(2*x - 1)^4)/27 + (343*(2*x - 1)^5)/3 + (49*(2*x - 1)^6)/3 + (2*x - 1)^7 - 1647086/2187) + (33935*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/24504606","B"
1968,1,84,121,0.065051,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3),x)","\frac{242\,\sqrt{1-2\,x}}{78125}+\frac{22\,{\left(1-2\,x\right)}^{3/2}}{46875}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{15625}-\frac{136419\,{\left(1-2\,x\right)}^{7/2}}{35000}+\frac{3819\,{\left(1-2\,x\right)}^{9/2}}{1000}-\frac{2889\,{\left(1-2\,x\right)}^{11/2}}{2200}+\frac{81\,{\left(1-2\,x\right)}^{13/2}}{520}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{390625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/390625 + (242*(1 - 2*x)^(1/2))/78125 + (22*(1 - 2*x)^(3/2))/46875 + (2*(1 - 2*x)^(5/2))/15625 - (136419*(1 - 2*x)^(7/2))/35000 + (3819*(1 - 2*x)^(9/2))/1000 - (2889*(1 - 2*x)^(11/2))/2200 + (81*(1 - 2*x)^(13/2))/520","B"
1969,1,75,108,0.062714,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3),x)","\frac{242\,\sqrt{1-2\,x}}{15625}+\frac{22\,{\left(1-2\,x\right)}^{3/2}}{9375}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{3125}-\frac{3897\,{\left(1-2\,x\right)}^{7/2}}{3500}+\frac{18\,{\left(1-2\,x\right)}^{9/2}}{25}-\frac{27\,{\left(1-2\,x\right)}^{11/2}}{220}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{78125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/78125 + (242*(1 - 2*x)^(1/2))/15625 + (22*(1 - 2*x)^(3/2))/9375 + (2*(1 - 2*x)^(5/2))/3125 - (3897*(1 - 2*x)^(7/2))/3500 + (18*(1 - 2*x)^(9/2))/25 - (27*(1 - 2*x)^(11/2))/220","B"
1970,1,66,95,1.174651,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3),x)","\frac{242\,\sqrt{1-2\,x}}{3125}+\frac{22\,{\left(1-2\,x\right)}^{3/2}}{1875}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{625}-\frac{111\,{\left(1-2\,x\right)}^{7/2}}{350}+\frac{{\left(1-2\,x\right)}^{9/2}}{10}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{15625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/15625 + (242*(1 - 2*x)^(1/2))/3125 + (22*(1 - 2*x)^(3/2))/1875 + (2*(1 - 2*x)^(5/2))/625 - (111*(1 - 2*x)^(7/2))/350 + (1 - 2*x)^(9/2)/10","B"
1971,1,57,82,0.058704,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3),x)","\frac{242\,\sqrt{1-2\,x}}{625}+\frac{22\,{\left(1-2\,x\right)}^{3/2}}{375}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{125}-\frac{3\,{\left(1-2\,x\right)}^{7/2}}{35}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{3125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/3125 + (242*(1 - 2*x)^(1/2))/625 + (22*(1 - 2*x)^(3/2))/375 + (2*(1 - 2*x)^(5/2))/125 - (3*(1 - 2*x)^(7/2))/35","B"
1972,1,48,69,0.066198,"\text{Not used}","int((1 - 2*x)^(5/2)/(5*x + 3),x)","\frac{242\,\sqrt{1-2\,x}}{125}+\frac{22\,{\left(1-2\,x\right)}^{3/2}}{75}+\frac{2\,{\left(1-2\,x\right)}^{5/2}}{25}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/625 + (242*(1 - 2*x)^(1/2))/125 + (22*(1 - 2*x)^(3/2))/75 + (2*(1 - 2*x)^(5/2))/25","B"
1973,1,59,85,0.100028,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)),x)","-\frac{272\,\sqrt{1-2\,x}}{225}-\frac{4\,{\left(1-2\,x\right)}^{3/2}}{45}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,98{}\mathrm{i}}{27}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/125 - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*98i)/27 - (272*(1 - 2*x)^(1/2))/225 - (4*(1 - 2*x)^(3/2))/45","B"
1974,1,66,92,0.105075,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)),x)","\frac{98\,\sqrt{1-2\,x}}{27\,\left(2\,x+\frac{4}{3}\right)}+\frac{8\,\sqrt{1-2\,x}}{45}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,140{}\mathrm{i}}{9}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,242{}\mathrm{i}}{25}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*242i)/25 - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*140i)/9 + (98*(1 - 2*x)^(1/2))/(27*(2*x + 4/3)) + (8*(1 - 2*x)^(1/2))/45","B"
1975,1,71,95,1.227518,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)),x)","\frac{235\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3}-\frac{242\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{5}+\frac{\frac{343\,\sqrt{1-2\,x}}{9}-\frac{427\,{\left(1-2\,x\right)}^{3/2}}{27}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(235*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3 - (242*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/5 + ((343*(1 - 2*x)^(1/2))/9 - (427*(1 - 2*x)^(3/2))/27)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
1976,1,89,113,0.092980,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)),x)","\frac{74020\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{189}-242\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{108290\,\sqrt{1-2\,x}}{243}-\frac{91420\,{\left(1-2\,x\right)}^{3/2}}{243}+\frac{2146\,{\left(1-2\,x\right)}^{5/2}}{27}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(74020*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/189 - 242*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((108290*(1 - 2*x)^(1/2))/243 - (91420*(1 - 2*x)^(3/2))/243 + (2146*(1 - 2*x)^(5/2))/27)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
1977,1,107,133,0.090261,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)),x)","\frac{3454265\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1764}-1210\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{5053615\,\sqrt{1-2\,x}}{972}-\frac{2144065\,{\left(1-2\,x\right)}^{3/2}}{324}+\frac{909931\,{\left(1-2\,x\right)}^{5/2}}{324}-\frac{100145\,{\left(1-2\,x\right)}^{7/2}}{252}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(3454265*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1764 - 1210*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((5053615*(1 - 2*x)^(1/2))/972 - (2144065*(1 - 2*x)^(3/2))/324 + (909931*(1 - 2*x)^(5/2))/324 - (100145*(1 - 2*x)^(7/2))/252)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
1978,1,125,153,0.094463,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)),x)","\frac{20149879\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2058}-6050\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{29479429\,\sqrt{1-2\,x}}{486}-\frac{75232787\,{\left(1-2\,x\right)}^{3/2}}{729}+\frac{26670244\,{\left(1-2\,x\right)}^{5/2}}{405}-\frac{504319\,{\left(1-2\,x\right)}^{7/2}}{27}+\frac{584179\,{\left(1-2\,x\right)}^{9/2}}{294}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"(20149879*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2058 - 6050*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((29479429*(1 - 2*x)^(1/2))/486 - (75232787*(1 - 2*x)^(3/2))/729 + (26670244*(1 - 2*x)^(5/2))/405 - (504319*(1 - 2*x)^(7/2))/27 + (584179*(1 - 2*x)^(9/2))/294)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
1979,1,143,173,1.217673,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^7*(5*x + 3)),x)","\frac{25388847535\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{518616}-30250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{37144080785\,\sqrt{1-2\,x}}{52488}-\frac{79114433335\,{\left(1-2\,x\right)}^{3/2}}{52488}+\frac{3744956269\,{\left(1-2\,x\right)}^{5/2}}{2916}-\frac{1240999441\,{\left(1-2\,x\right)}^{7/2}}{2268}+\frac{11104383695\,{\left(1-2\,x\right)}^{9/2}}{95256}-\frac{736065535\,{\left(1-2\,x\right)}^{11/2}}{74088}}{\frac{67228\,x}{81}+\frac{12005\,{\left(2\,x-1\right)}^2}{27}+\frac{6860\,{\left(2\,x-1\right)}^3}{27}+\frac{245\,{\left(2\,x-1\right)}^4}{3}+14\,{\left(2\,x-1\right)}^5+{\left(2\,x-1\right)}^6-\frac{184877}{729}}","Not used",1,"(25388847535*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/518616 - 30250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((37144080785*(1 - 2*x)^(1/2))/52488 - (79114433335*(1 - 2*x)^(3/2))/52488 + (3744956269*(1 - 2*x)^(5/2))/2916 - (1240999441*(1 - 2*x)^(7/2))/2268 + (11104383695*(1 - 2*x)^(9/2))/95256 - (736065535*(1 - 2*x)^(11/2))/74088)/((67228*x)/81 + (12005*(2*x - 1)^2)/27 + (6860*(2*x - 1)^3)/27 + (245*(2*x - 1)^4)/3 + 14*(2*x - 1)^5 + (2*x - 1)^6 - 184877/729)","B"
1980,1,91,141,0.068767,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^2,x)","\frac{2816\,\sqrt{1-2\,x}}{78125}-\frac{242\,\sqrt{1-2\,x}}{390625\,\left(2\,x+\frac{6}{5}\right)}+\frac{52\,{\left(1-2\,x\right)}^{3/2}}{9375}+\frac{24\,{\left(1-2\,x\right)}^{5/2}}{15625}-\frac{12393\,{\left(1-2\,x\right)}^{7/2}}{17500}+\frac{111\,{\left(1-2\,x\right)}^{9/2}}{250}-\frac{81\,{\left(1-2\,x\right)}^{11/2}}{1100}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2794{}\mathrm{i}}{390625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2794i)/390625 - (242*(1 - 2*x)^(1/2))/(390625*(2*x + 6/5)) + (2816*(1 - 2*x)^(1/2))/78125 + (52*(1 - 2*x)^(3/2))/9375 + (24*(1 - 2*x)^(5/2))/15625 - (12393*(1 - 2*x)^(7/2))/17500 + (111*(1 - 2*x)^(9/2))/250 - (81*(1 - 2*x)^(11/2))/1100","B"
1981,1,82,121,0.063784,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^2,x)","\frac{418\,\sqrt{1-2\,x}}{3125}-\frac{242\,\sqrt{1-2\,x}}{78125\,\left(2\,x+\frac{6}{5}\right)}+\frac{194\,{\left(1-2\,x\right)}^{3/2}}{9375}+\frac{18\,{\left(1-2\,x\right)}^{5/2}}{3125}-\frac{351\,{\left(1-2\,x\right)}^{7/2}}{1750}+\frac{3\,{\left(1-2\,x\right)}^{9/2}}{50}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2068{}\mathrm{i}}{78125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2068i)/78125 - (242*(1 - 2*x)^(1/2))/(78125*(2*x + 6/5)) + (418*(1 - 2*x)^(1/2))/3125 + (194*(1 - 2*x)^(3/2))/9375 + (18*(1 - 2*x)^(5/2))/3125 - (351*(1 - 2*x)^(7/2))/1750 + (3*(1 - 2*x)^(9/2))/50","B"
1982,1,73,102,1.184742,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^2,x)","\frac{1364\,\sqrt{1-2\,x}}{3125}-\frac{242\,\sqrt{1-2\,x}}{15625\,\left(2\,x+\frac{6}{5}\right)}+\frac{128\,{\left(1-2\,x\right)}^{3/2}}{1875}+\frac{12\,{\left(1-2\,x\right)}^{5/2}}{625}-\frac{9\,{\left(1-2\,x\right)}^{7/2}}{175}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,1342{}\mathrm{i}}{15625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*1342i)/15625 - (242*(1 - 2*x)^(1/2))/(15625*(2*x + 6/5)) + (1364*(1 - 2*x)^(1/2))/3125 + (128*(1 - 2*x)^(3/2))/1875 + (12*(1 - 2*x)^(5/2))/625 - (9*(1 - 2*x)^(7/2))/175","B"
1983,1,64,89,1.175155,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^2,x)","\frac{638\,\sqrt{1-2\,x}}{625}-\frac{242\,\sqrt{1-2\,x}}{3125\,\left(2\,x+\frac{6}{5}\right)}+\frac{62\,{\left(1-2\,x\right)}^{3/2}}{375}+\frac{6\,{\left(1-2\,x\right)}^{5/2}}{125}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,616{}\mathrm{i}}{3125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*616i)/3125 - (242*(1 - 2*x)^(1/2))/(3125*(2*x + 6/5)) + (638*(1 - 2*x)^(1/2))/625 + (62*(1 - 2*x)^(3/2))/375 + (6*(1 - 2*x)^(5/2))/125","B"
1984,1,55,76,1.177277,"\text{Not used}","int((1 - 2*x)^(5/2)/(5*x + 3)^2,x)","-\frac{242\,\sqrt{1-2\,x}}{625\,\left(2\,x+\frac{6}{5}\right)}-\frac{88\,\sqrt{1-2\,x}}{125}-\frac{4\,{\left(1-2\,x\right)}^{3/2}}{75}-\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22{}\mathrm{i}}{125}","Not used",1,"- (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22i)/125 - (242*(1 - 2*x)^(1/2))/(625*(2*x + 6/5)) - (88*(1 - 2*x)^(1/2))/125 - (4*(1 - 2*x)^(3/2))/75","B"
1985,1,66,92,0.103065,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^2),x)","\frac{8\,\sqrt{1-2\,x}}{75}-\frac{242\,\sqrt{1-2\,x}}{125\,\left(2\,x+\frac{6}{5}\right)}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,98{}\mathrm{i}}{9}-\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,836{}\mathrm{i}}{125}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*98i)/9 - (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*836i)/125 - (242*(1 - 2*x)^(1/2))/(125*(2*x + 6/5)) + (8*(1 - 2*x)^(1/2))/75","B"
1986,1,72,106,0.098223,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^2),x)","\frac{1562\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{25}-\frac{910\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9}-\frac{\frac{10472\,\sqrt{1-2\,x}}{225}-\frac{4628\,{\left(1-2\,x\right)}^{3/2}}{225}}{\frac{136\,x}{15}+{\left(2\,x-1\right)}^2+\frac{3}{5}}","Not used",1,"(1562*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/25 - (910*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9 - ((10472*(1 - 2*x)^(1/2))/225 - (4628*(1 - 2*x)^(3/2))/225)/((136*x)/15 + (2*x - 1)^2 + 3/5)","B"
1987,1,90,131,1.223995,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^2),x)","\frac{2288\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{5}-\frac{6665\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9}-\frac{\frac{107261\,\sqrt{1-2\,x}}{135}-\frac{93338\,{\left(1-2\,x\right)}^{3/2}}{135}+\frac{6763\,{\left(1-2\,x\right)}^{5/2}}{45}}{\frac{1414\,x}{45}+\frac{103\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{56}{15}}","Not used",1,"(2288*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/5 - (6665*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9 - ((107261*(1 - 2*x)^(1/2))/135 - (93338*(1 - 2*x)^(3/2))/135 + (6763*(1 - 2*x)^(5/2))/45)/((1414*x)/45 + (103*(2*x - 1)^2)/15 + (2*x - 1)^3 - 56/15)","B"
1988,1,108,154,0.097187,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^2),x)","3014\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)-\frac{307295\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{63}-\frac{\frac{989065\,\sqrt{1-2\,x}}{81}-\frac{1284563\,{\left(1-2\,x\right)}^{3/2}}{81}+\frac{2779739\,{\left(1-2\,x\right)}^{5/2}}{405}-\frac{8909\,{\left(1-2\,x\right)}^{7/2}}{9}}{\frac{13132\,x}{135}+\frac{476\,{\left(2\,x-1\right)}^2}{15}+\frac{46\,{\left(2\,x-1\right)}^3}{5}+{\left(2\,x-1\right)}^4-\frac{931}{45}}","Not used",1,"3014*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) - (307295*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/63 - ((989065*(1 - 2*x)^(1/2))/81 - (1284563*(1 - 2*x)^(3/2))/81 + (2779739*(1 - 2*x)^(5/2))/405 - (8909*(1 - 2*x)^(7/2))/9)/((13132*x)/135 + (476*(2*x - 1)^2)/15 + (46*(2*x - 1)^3)/5 + (2*x - 1)^4 - 931/45)","B"
1989,1,126,181,1.212283,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^2),x)","18700\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)-\frac{53384095\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1764}-\frac{\frac{171822959\,\sqrt{1-2\,x}}{972}-\frac{74199013\,{\left(1-2\,x\right)}^{3/2}}{243}+\frac{480549227\,{\left(1-2\,x\right)}^{5/2}}{2430}-\frac{32270579\,{\left(1-2\,x\right)}^{7/2}}{567}+\frac{1547695\,{\left(1-2\,x\right)}^{9/2}}{252}}{\frac{114562\,x}{405}+\frac{16562\,{\left(2\,x-1\right)}^2}{135}+\frac{266\,{\left(2\,x-1\right)}^3}{5}+\frac{173\,{\left(2\,x-1\right)}^4}{15}+{\left(2\,x-1\right)}^5-\frac{686}{9}}","Not used",1,"18700*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) - (53384095*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1764 - ((171822959*(1 - 2*x)^(1/2))/972 - (74199013*(1 - 2*x)^(3/2))/243 + (480549227*(1 - 2*x)^(5/2))/2430 - (32270579*(1 - 2*x)^(7/2))/567 + (1547695*(1 - 2*x)^(9/2))/252)/((114562*x)/405 + (16562*(2*x - 1)^2)/135 + (266*(2*x - 1)^3)/5 + (173*(2*x - 1)^4)/15 + (2*x - 1)^5 - 686/9)","B"
1990,1,144,208,0.097212,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^2),x)","111650\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)-\frac{2231141147\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{12348}-\frac{\frac{35905944767\,\sqrt{1-2\,x}}{14580}-\frac{77409907519\,{\left(1-2\,x\right)}^{3/2}}{14580}+\frac{166872417461\,{\left(1-2\,x\right)}^{5/2}}{36450}-\frac{4795904963\,{\left(1-2\,x\right)}^{7/2}}{2430}+\frac{33766284983\,{\left(1-2\,x\right)}^{9/2}}{79380}-\frac{64684547\,{\left(1-2\,x\right)}^{11/2}}{1764}}{\frac{192080\,x}{243}+\frac{34643\,{\left(2\,x-1\right)}^2}{81}+\frac{6664\,{\left(2\,x-1\right)}^3}{27}+\frac{721\,{\left(2\,x-1\right)}^4}{9}+\frac{208\,{\left(2\,x-1\right)}^5}{15}+{\left(2\,x-1\right)}^6-\frac{98441}{405}}","Not used",1,"111650*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) - (2231141147*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/12348 - ((35905944767*(1 - 2*x)^(1/2))/14580 - (77409907519*(1 - 2*x)^(3/2))/14580 + (166872417461*(1 - 2*x)^(5/2))/36450 - (4795904963*(1 - 2*x)^(7/2))/2430 + (33766284983*(1 - 2*x)^(9/2))/79380 - (64684547*(1 - 2*x)^(11/2))/1764)/((192080*x)/243 + (34643*(2*x - 1)^2)/81 + (6664*(2*x - 1)^3)/27 + (721*(2*x - 1)^4)/9 + (208*(2*x - 1)^5)/15 + (2*x - 1)^6 - 98441/405)","B"
1991,1,101,155,0.065924,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^3,x)","\frac{2404\,\sqrt{1-2\,x}}{15625}+\frac{76\,{\left(1-2\,x\right)}^{3/2}}{3125}+\frac{108\,{\left(1-2\,x\right)}^{5/2}}{15625}-\frac{1107\,{\left(1-2\,x\right)}^{7/2}}{8750}+\frac{9\,{\left(1-2\,x\right)}^{9/2}}{250}-\frac{\frac{31097\,\sqrt{1-2\,x}}{1953125}-\frac{561\,{\left(1-2\,x\right)}^{3/2}}{78125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,11763{}\mathrm{i}}{390625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*11763i)/390625 + (2404*(1 - 2*x)^(1/2))/15625 + (76*(1 - 2*x)^(3/2))/3125 + (108*(1 - 2*x)^(5/2))/15625 - (1107*(1 - 2*x)^(7/2))/8750 + (9*(1 - 2*x)^(9/2))/250 - ((31097*(1 - 2*x)^(1/2))/1953125 - (561*(1 - 2*x)^(3/2))/78125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1992,1,92,135,1.185142,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^3,x)","\frac{46\,\sqrt{1-2\,x}}{125}+\frac{186\,{\left(1-2\,x\right)}^{3/2}}{3125}+\frac{54\,{\left(1-2\,x\right)}^{5/2}}{3125}-\frac{27\,{\left(1-2\,x\right)}^{7/2}}{875}-\frac{\frac{23111\,\sqrt{1-2\,x}}{390625}-\frac{2079\,{\left(1-2\,x\right)}^{3/2}}{78125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,5559{}\mathrm{i}}{78125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*5559i)/78125 + (46*(1 - 2*x)^(1/2))/125 + (186*(1 - 2*x)^(3/2))/3125 + (54*(1 - 2*x)^(5/2))/3125 - (27*(1 - 2*x)^(7/2))/875 - ((23111*(1 - 2*x)^(1/2))/390625 - (2079*(1 - 2*x)^(3/2))/78125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1993,1,83,109,1.174168,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^3,x)","\frac{1658\,\sqrt{1-2\,x}}{3125}+\frac{58\,{\left(1-2\,x\right)}^{3/2}}{625}+\frac{18\,{\left(1-2\,x\right)}^{5/2}}{625}-\frac{\frac{121\,\sqrt{1-2\,x}}{625}-\frac{1353\,{\left(1-2\,x\right)}^{3/2}}{15625}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,1533{}\mathrm{i}}{15625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*1533i)/15625 + (1658*(1 - 2*x)^(1/2))/3125 + (58*(1 - 2*x)^(3/2))/625 + (18*(1 - 2*x)^(5/2))/625 - ((121*(1 - 2*x)^(1/2))/625 - (1353*(1 - 2*x)^(3/2))/15625)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1994,1,74,96,0.075223,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^3,x)","-\frac{256\,\sqrt{1-2\,x}}{625}-\frac{4\,{\left(1-2\,x\right)}^{3/2}}{125}-\frac{\frac{7139\,\sqrt{1-2\,x}}{15625}-\frac{627\,{\left(1-2\,x\right)}^{3/2}}{3125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}-\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,63{}\mathrm{i}}{625}","Not used",1,"- (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*63i)/625 - (256*(1 - 2*x)^(1/2))/625 - (4*(1 - 2*x)^(3/2))/125 - ((7139*(1 - 2*x)^(1/2))/15625 - (627*(1 - 2*x)^(3/2))/3125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1995,1,62,83,1.180707,"\text{Not used}","int((1 - 2*x)^(5/2)/(5*x + 3)^3,x)","\frac{8\,\sqrt{1-2\,x}}{125}-\frac{3\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{125}+\frac{\frac{847\,\sqrt{1-2\,x}}{3125}-\frac{99\,{\left(1-2\,x\right)}^{3/2}}{625}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(8*(1 - 2*x)^(1/2))/125 - (3*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/125 + ((847*(1 - 2*x)^(1/2))/3125 - (99*(1 - 2*x)^(3/2))/625)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1996,1,71,97,1.221698,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^3),x)","\frac{98\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3}-\frac{2523\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{125}+\frac{\frac{8833\,\sqrt{1-2\,x}}{625}-\frac{33\,{\left(1-2\,x\right)}^{3/2}}{5}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(98*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3 - (2523*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/125 + ((8833*(1 - 2*x)^(1/2))/625 - (33*(1 - 2*x)^(3/2))/5)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
1997,1,89,124,0.101409,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^3),x)","\frac{1400\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3}-\frac{7209\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{25}+\frac{\frac{177023\,\sqrt{1-2\,x}}{375}-\frac{158642\,{\left(1-2\,x\right)}^{3/2}}{375}+\frac{7103\,{\left(1-2\,x\right)}^{5/2}}{75}}{\frac{2266\,x}{75}+\frac{101\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{286}{75}}","Not used",1,"(1400*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3 - (7209*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/25 + ((177023*(1 - 2*x)^(1/2))/375 - (158642*(1 - 2*x)^(3/2))/375 + (7103*(1 - 2*x)^(5/2))/75)/((2266*x)/75 + (101*(2*x - 1)^2)/15 + (2*x - 1)^3 - 286/75)","B"
1998,1,107,145,0.094029,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^3),x)","4555\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)-\frac{14073\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{5}+\frac{\frac{806344\,\sqrt{1-2\,x}}{75}-\frac{3204586\,{\left(1-2\,x\right)}^{3/2}}{225}+\frac{56576\,{\left(1-2\,x\right)}^{5/2}}{9}-\frac{4622\,{\left(1-2\,x\right)}^{7/2}}{5}}{\frac{20944\,x}{225}+\frac{6934\,{\left(2\,x-1\right)}^2}{225}+\frac{136\,{\left(2\,x-1\right)}^3}{15}+{\left(2\,x-1\right)}^4-\frac{4543}{225}}","Not used",1,"4555*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7) - (14073*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/5 + ((806344*(1 - 2*x)^(1/2))/75 - (3204586*(1 - 2*x)^(3/2))/225 + (56576*(1 - 2*x)^(5/2))/9 - (4622*(1 - 2*x)^(7/2))/5)/((20944*x)/225 + (6934*(2*x - 1)^2)/225 + (136*(2*x - 1)^3)/15 + (2*x - 1)^4 - 4543/225)","B"
1999,1,125,172,0.100294,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^3),x)","\frac{785570\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21}-23115\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)+\frac{\frac{27812939\,\sqrt{1-2\,x}}{135}-\frac{48764716\,{\left(1-2\,x\right)}^{3/2}}{135}+\frac{160263994\,{\left(1-2\,x\right)}^{5/2}}{675}-\frac{1872172\,{\left(1-2\,x\right)}^{7/2}}{27}+\frac{22775\,{\left(1-2\,x\right)}^{9/2}}{3}}{\frac{182182\,x}{675}+\frac{79954\,{\left(2\,x-1\right)}^2}{675}+\frac{3898\,{\left(2\,x-1\right)}^3}{75}+\frac{57\,{\left(2\,x-1\right)}^4}{5}+{\left(2\,x-1\right)}^5-\frac{49588}{675}}","Not used",1,"(785570*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21 - 23115*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11) + ((27812939*(1 - 2*x)^(1/2))/135 - (48764716*(1 - 2*x)^(3/2))/135 + (160263994*(1 - 2*x)^(5/2))/675 - (1872172*(1 - 2*x)^(7/2))/27 + (22775*(1 - 2*x)^(9/2))/3)/((182182*x)/675 + (79954*(2*x - 1)^2)/675 + (3898*(2*x - 1)^3)/75 + (57*(2*x - 1)^4)/5 + (2*x - 1)^5 - 49588/675)","B"
2000,1,143,201,1.220229,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^3),x)","\frac{\frac{5783864009\,\sqrt{1-2\,x}}{1620}-\frac{12619707947\,{\left(1-2\,x\right)}^{3/2}}{1620}+\frac{27529179127\,{\left(1-2\,x\right)}^{5/2}}{4050}-\frac{16811611951\,{\left(1-2\,x\right)}^{7/2}}{5670}+\frac{488789257\,{\left(1-2\,x\right)}^{9/2}}{756}-\frac{4736195\,{\left(1-2\,x\right)}^{11/2}}{84}}{\frac{1524292\,x}{2025}+\frac{832951\,{\left(2\,x-1\right)}^2}{2025}+\frac{161812\,{\left(2\,x-1\right)}^3}{675}+\frac{5893\,{\left(2\,x-1\right)}^4}{75}+\frac{206\,{\left(2\,x-1\right)}^5}{15}+{\left(2\,x-1\right)}^6-\frac{18865}{81}}+\frac{163363895\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{588}-171675\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)","Not used",1,"((5783864009*(1 - 2*x)^(1/2))/1620 - (12619707947*(1 - 2*x)^(3/2))/1620 + (27529179127*(1 - 2*x)^(5/2))/4050 - (16811611951*(1 - 2*x)^(7/2))/5670 + (488789257*(1 - 2*x)^(9/2))/756 - (4736195*(1 - 2*x)^(11/2))/84)/((1524292*x)/2025 + (832951*(2*x - 1)^2)/2025 + (161812*(2*x - 1)^3)/675 + (5893*(2*x - 1)^4)/75 + (206*(2*x - 1)^5)/15 + (2*x - 1)^6 - 18865/81) + (163363895*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/588 - 171675*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11)","B"
2001,1,64,92,0.028099,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3))/(1 - 2*x)^(1/2),x)","\frac{60025\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{184877\,\sqrt{1-2\,x}}{64}-\frac{103929\,{\left(1-2\,x\right)}^{5/2}}{64}+\frac{5355\,{\left(1-2\,x\right)}^{7/2}}{8}-\frac{10815\,{\left(1-2\,x\right)}^{9/2}}{64}+\frac{1053\,{\left(1-2\,x\right)}^{11/2}}{44}-\frac{1215\,{\left(1-2\,x\right)}^{13/2}}{832}","Not used",1,"(60025*(1 - 2*x)^(3/2))/24 - (184877*(1 - 2*x)^(1/2))/64 - (103929*(1 - 2*x)^(5/2))/64 + (5355*(1 - 2*x)^(7/2))/8 - (10815*(1 - 2*x)^(9/2))/64 + (1053*(1 - 2*x)^(11/2))/44 - (1215*(1 - 2*x)^(13/2))/832","B"
2002,1,55,79,0.026557,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3))/(1 - 2*x)^(1/2),x)","\frac{57281\,{\left(1-2\,x\right)}^{3/2}}{96}-\frac{26411\,\sqrt{1-2\,x}}{32}-\frac{24843\,{\left(1-2\,x\right)}^{5/2}}{80}+\frac{1539\,{\left(1-2\,x\right)}^{7/2}}{16}-\frac{519\,{\left(1-2\,x\right)}^{9/2}}{32}+\frac{405\,{\left(1-2\,x\right)}^{11/2}}{352}","Not used",1,"(57281*(1 - 2*x)^(3/2))/96 - (26411*(1 - 2*x)^(1/2))/32 - (24843*(1 - 2*x)^(5/2))/80 + (1539*(1 - 2*x)^(7/2))/16 - (519*(1 - 2*x)^(9/2))/32 + (405*(1 - 2*x)^(11/2))/352","B"
2003,1,46,66,0.022849,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3))/(1 - 2*x)^(1/2),x)","\frac{3283\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{3773\,\sqrt{1-2\,x}}{16}-\frac{1071\,{\left(1-2\,x\right)}^{5/2}}{20}+\frac{621\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{15\,{\left(1-2\,x\right)}^{9/2}}{16}","Not used",1,"(3283*(1 - 2*x)^(3/2))/24 - (3773*(1 - 2*x)^(1/2))/16 - (1071*(1 - 2*x)^(5/2))/20 + (621*(1 - 2*x)^(7/2))/56 - (15*(1 - 2*x)^(9/2))/16","B"
2004,1,37,53,0.037032,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3))/(1 - 2*x)^(1/2),x)","\frac{707\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{539\,\sqrt{1-2\,x}}{8}-\frac{309\,{\left(1-2\,x\right)}^{5/2}}{40}+\frac{45\,{\left(1-2\,x\right)}^{7/2}}{56}","Not used",1,"(707*(1 - 2*x)^(3/2))/24 - (539*(1 - 2*x)^(1/2))/8 - (309*(1 - 2*x)^(5/2))/40 + (45*(1 - 2*x)^(7/2))/56","B"
2005,1,23,40,1.141954,"\text{Not used}","int(((3*x + 2)*(5*x + 3))/(1 - 2*x)^(1/2),x)","-\frac{\sqrt{1-2\,x}\,\left(136\,x+9\,{\left(2\,x-1\right)}^2+163\right)}{12}","Not used",1,"-((1 - 2*x)^(1/2)*(136*x + 9*(2*x - 1)^2 + 163))/12","B"
2006,1,14,27,0.024353,"\text{Not used}","int((5*x + 3)/(1 - 2*x)^(1/2),x)","-\frac{\sqrt{1-2\,x}\,\left(10\,x+28\right)}{6}","Not used",1,"-((1 - 2*x)^(1/2)*(10*x + 28))/6","B"
2007,1,28,41,0.050477,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(1/2)*(3*x + 2)),x)","\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{63}-\frac{5\,\sqrt{1-2\,x}}{3}","Not used",1,"(2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/63 - (5*(1 - 2*x)^(1/2))/3","B"
2008,1,35,48,0.056907,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(1/2)*(3*x + 2)^2),x)","\frac{2\,\sqrt{1-2\,x}}{63\,\left(2\,x+\frac{4}{3}\right)}-\frac{68\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{441}","Not used",1,"(2*(1 - 2*x)^(1/2))/(63*(2*x + 4/3)) - (68*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/441","B"
2009,1,54,68,0.062173,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(1/2)*(3*x + 2)^3),x)","-\frac{67\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3087}-\frac{\frac{65\,\sqrt{1-2\,x}}{189}-\frac{67\,{\left(1-2\,x\right)}^{3/2}}{441}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"- (67*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3087 - ((65*(1 - 2*x)^(1/2))/189 - (67*(1 - 2*x)^(3/2))/441)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
2010,1,72,88,1.185138,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(1/2)*(3*x + 2)^4),x)","-\frac{100\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}-\frac{\frac{164\,\sqrt{1-2\,x}}{567}-\frac{800\,{\left(1-2\,x\right)}^{3/2}}{3969}+\frac{100\,{\left(1-2\,x\right)}^{5/2}}{3087}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"- (100*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609 - ((164*(1 - 2*x)^(1/2))/567 - (800*(1 - 2*x)^(3/2))/3969 + (100*(1 - 2*x)^(5/2))/3087)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
2011,1,90,108,1.201510,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(1/2)*(3*x + 2)^5),x)","-\frac{95\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{86436}-\frac{\frac{1447\,\sqrt{1-2\,x}}{6804}-\frac{1387\,{\left(1-2\,x\right)}^{3/2}}{6804}+\frac{1045\,{\left(1-2\,x\right)}^{5/2}}{15876}-\frac{95\,{\left(1-2\,x\right)}^{7/2}}{12348}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"- (95*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/86436 - ((1447*(1 - 2*x)^(1/2))/6804 - (1387*(1 - 2*x)^(3/2))/6804 + (1045*(1 - 2*x)^(5/2))/15876 - (95*(1 - 2*x)^(7/2))/12348)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
2012,1,73,105,0.032489,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^2)/(1 - 2*x)^(1/2),x)","\frac{6206585\,{\left(1-2\,x\right)}^{3/2}}{384}-\frac{2033647\,\sqrt{1-2\,x}}{128}-\frac{1623419\,{\left(1-2\,x\right)}^{5/2}}{128}+\frac{842415\,{\left(1-2\,x\right)}^{7/2}}{128}-\frac{285565\,{\left(1-2\,x\right)}^{9/2}}{128}+\frac{672003\,{\left(1-2\,x\right)}^{11/2}}{1408}-\frac{97605\,{\left(1-2\,x\right)}^{13/2}}{1664}+\frac{405\,{\left(1-2\,x\right)}^{15/2}}{128}","Not used",1,"(6206585*(1 - 2*x)^(3/2))/384 - (2033647*(1 - 2*x)^(1/2))/128 - (1623419*(1 - 2*x)^(5/2))/128 + (842415*(1 - 2*x)^(7/2))/128 - (285565*(1 - 2*x)^(9/2))/128 + (672003*(1 - 2*x)^(11/2))/1408 - (97605*(1 - 2*x)^(13/2))/1664 + (405*(1 - 2*x)^(15/2))/128","B"
2013,1,64,92,0.028451,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^2)/(1 - 2*x)^(1/2),x)","\frac{381073\,{\left(1-2\,x\right)}^{3/2}}{96}-\frac{290521\,\sqrt{1-2\,x}}{64}-\frac{832951\,{\left(1-2\,x\right)}^{5/2}}{320}+\frac{17337\,{\left(1-2\,x\right)}^{7/2}}{16}-\frac{17679\,{\left(1-2\,x\right)}^{9/2}}{64}+\frac{13905\,{\left(1-2\,x\right)}^{11/2}}{352}-\frac{2025\,{\left(1-2\,x\right)}^{13/2}}{832}","Not used",1,"(381073*(1 - 2*x)^(3/2))/96 - (290521*(1 - 2*x)^(1/2))/64 - (832951*(1 - 2*x)^(5/2))/320 + (17337*(1 - 2*x)^(7/2))/16 - (17679*(1 - 2*x)^(9/2))/64 + (13905*(1 - 2*x)^(11/2))/352 - (2025*(1 - 2*x)^(13/2))/832","B"
2014,1,55,79,0.026248,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^2)/(1 - 2*x)^(1/2),x)","\frac{91091\,{\left(1-2\,x\right)}^{3/2}}{96}-\frac{41503\,\sqrt{1-2\,x}}{32}-\frac{39977\,{\left(1-2\,x\right)}^{5/2}}{80}+\frac{17541\,{\left(1-2\,x\right)}^{7/2}}{112}-\frac{855\,{\left(1-2\,x\right)}^{9/2}}{32}+\frac{675\,{\left(1-2\,x\right)}^{11/2}}{352}","Not used",1,"(91091*(1 - 2*x)^(3/2))/96 - (41503*(1 - 2*x)^(1/2))/32 - (39977*(1 - 2*x)^(5/2))/80 + (17541*(1 - 2*x)^(7/2))/112 - (855*(1 - 2*x)^(9/2))/32 + (675*(1 - 2*x)^(11/2))/352","B"
2015,1,46,66,0.024799,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^2)/(1 - 2*x)^(1/2),x)","\frac{1309\,{\left(1-2\,x\right)}^{3/2}}{6}-\frac{5929\,\sqrt{1-2\,x}}{16}-\frac{3467\,{\left(1-2\,x\right)}^{5/2}}{40}+\frac{255\,{\left(1-2\,x\right)}^{7/2}}{14}-\frac{25\,{\left(1-2\,x\right)}^{9/2}}{16}","Not used",1,"(1309*(1 - 2*x)^(3/2))/6 - (5929*(1 - 2*x)^(1/2))/16 - (3467*(1 - 2*x)^(5/2))/40 + (255*(1 - 2*x)^(7/2))/14 - (25*(1 - 2*x)^(9/2))/16","B"
2016,1,37,53,0.037433,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^2)/(1 - 2*x)^(1/2),x)","\frac{1133\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{847\,\sqrt{1-2\,x}}{8}-\frac{101\,{\left(1-2\,x\right)}^{5/2}}{8}+\frac{75\,{\left(1-2\,x\right)}^{7/2}}{56}","Not used",1,"(1133*(1 - 2*x)^(3/2))/24 - (847*(1 - 2*x)^(1/2))/8 - (101*(1 - 2*x)^(5/2))/8 + (75*(1 - 2*x)^(7/2))/56","B"
2017,1,23,40,0.031422,"\text{Not used}","int((5*x + 3)^2/(1 - 2*x)^(1/2),x)","-\frac{\sqrt{1-2\,x}\,\left(220\,x+15\,{\left(2\,x-1\right)}^2+253\right)}{12}","Not used",1,"-((1 - 2*x)^(1/2)*(220*x + 15*(2*x - 1)^2 + 253))/12","B"
2018,1,37,54,0.055042,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(1/2)*(3*x + 2)),x)","\frac{25\,{\left(1-2\,x\right)}^{3/2}}{18}-\frac{155\,\sqrt{1-2\,x}}{18}-\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{189}","Not used",1,"(25*(1 - 2*x)^(3/2))/18 - (155*(1 - 2*x)^(1/2))/18 - (2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/189","B"
2019,1,44,61,0.055738,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(1/2)*(3*x + 2)^2),x)","\frac{46\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{441}-\frac{2\,\sqrt{1-2\,x}}{189\,\left(2\,x+\frac{4}{3}\right)}-\frac{25\,\sqrt{1-2\,x}}{9}","Not used",1,"(46*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/441 - (2*(1 - 2*x)^(1/2))/(189*(2*x + 4/3)) - (25*(1 - 2*x)^(1/2))/9","B"
2020,1,53,68,1.197075,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(1/2)*(3*x + 2)^3),x)","\frac{\frac{5\,\sqrt{1-2\,x}}{21}-\frac{137\,{\left(1-2\,x\right)}^{3/2}}{1323}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}-\frac{257\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1029}","Not used",1,"((5*(1 - 2*x)^(1/2))/21 - (137*(1 - 2*x)^(3/2))/1323)/((28*x)/3 + (2*x - 1)^2 + 7/9) - (257*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1029","B"
2021,1,72,88,1.182026,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(1/2)*(3*x + 2)^4),x)","-\frac{2245\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{64827}-\frac{\frac{2111\,\sqrt{1-2\,x}}{1701}-\frac{13060\,{\left(1-2\,x\right)}^{3/2}}{11907}+\frac{2245\,{\left(1-2\,x\right)}^{5/2}}{9261}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"- (2245*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/64827 - ((2111*(1 - 2*x)^(1/2))/1701 - (13060*(1 - 2*x)^(3/2))/11907 + (2245*(1 - 2*x)^(5/2))/9261)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
2022,1,90,108,0.069840,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(1/2)*(3*x + 2)^5),x)","-\frac{635\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{86436}-\frac{\frac{7171\,\sqrt{1-2\,x}}{6804}-\frac{2717\,{\left(1-2\,x\right)}^{3/2}}{2268}+\frac{6985\,{\left(1-2\,x\right)}^{5/2}}{15876}-\frac{635\,{\left(1-2\,x\right)}^{7/2}}{12348}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"- (635*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/86436 - ((7171*(1 - 2*x)^(1/2))/6804 - (2717*(1 - 2*x)^(3/2))/2268 + (6985*(1 - 2*x)^(5/2))/15876 - (635*(1 - 2*x)^(7/2))/12348)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
2023,1,108,130,1.201772,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(1/2)*(3*x + 2)^6),x)","-\frac{117\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{67228}-\frac{\frac{5287\,\sqrt{1-2\,x}}{6804}-\frac{77587\,{\left(1-2\,x\right)}^{3/2}}{71442}+\frac{416\,{\left(1-2\,x\right)}^{5/2}}{735}-\frac{13\,{\left(1-2\,x\right)}^{7/2}}{98}+\frac{117\,{\left(1-2\,x\right)}^{9/2}}{9604}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"- (117*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/67228 - ((5287*(1 - 2*x)^(1/2))/6804 - (77587*(1 - 2*x)^(3/2))/71442 + (416*(1 - 2*x)^(5/2))/735 - (13*(1 - 2*x)^(7/2))/98 + (117*(1 - 2*x)^(9/2))/9604)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
2024,1,73,105,0.033806,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^3)/(1 - 2*x)^(1/2),x)","\frac{3278737\,{\left(1-2\,x\right)}^{3/2}}{128}-\frac{3195731\,\sqrt{1-2\,x}}{128}-\frac{12973191\,{\left(1-2\,x\right)}^{5/2}}{640}+\frac{1357793\,{\left(1-2\,x\right)}^{7/2}}{128}-\frac{1392467\,{\left(1-2\,x\right)}^{9/2}}{384}+\frac{1101465\,{\left(1-2\,x\right)}^{11/2}}{1408}-\frac{161325\,{\left(1-2\,x\right)}^{13/2}}{1664}+\frac{675\,{\left(1-2\,x\right)}^{15/2}}{128}","Not used",1,"(3278737*(1 - 2*x)^(3/2))/128 - (3195731*(1 - 2*x)^(1/2))/128 - (12973191*(1 - 2*x)^(5/2))/640 + (1357793*(1 - 2*x)^(7/2))/128 - (1392467*(1 - 2*x)^(9/2))/384 + (1101465*(1 - 2*x)^(11/2))/1408 - (161325*(1 - 2*x)^(13/2))/1664 + (675*(1 - 2*x)^(15/2))/128","B"
2025,1,64,92,0.029077,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^3)/(1 - 2*x)^(1/2),x)","\frac{100793\,{\left(1-2\,x\right)}^{3/2}}{16}-\frac{456533\,\sqrt{1-2\,x}}{64}-\frac{1334949\,{\left(1-2\,x\right)}^{5/2}}{320}+\frac{98209\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{28895\,{\left(1-2\,x\right)}^{9/2}}{64}+\frac{11475\,{\left(1-2\,x\right)}^{11/2}}{176}-\frac{3375\,{\left(1-2\,x\right)}^{13/2}}{832}","Not used",1,"(100793*(1 - 2*x)^(3/2))/16 - (456533*(1 - 2*x)^(1/2))/64 - (1334949*(1 - 2*x)^(5/2))/320 + (98209*(1 - 2*x)^(7/2))/56 - (28895*(1 - 2*x)^(9/2))/64 + (11475*(1 - 2*x)^(11/2))/176 - (3375*(1 - 2*x)^(13/2))/832","B"
2026,1,55,79,0.026056,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^3)/(1 - 2*x)^(1/2),x)","\frac{48279\,{\left(1-2\,x\right)}^{3/2}}{32}-\frac{65219\,\sqrt{1-2\,x}}{32}-\frac{64317\,{\left(1-2\,x\right)}^{5/2}}{80}+\frac{28555\,{\left(1-2\,x\right)}^{7/2}}{112}-\frac{4225\,{\left(1-2\,x\right)}^{9/2}}{96}+\frac{1125\,{\left(1-2\,x\right)}^{11/2}}{352}","Not used",1,"(48279*(1 - 2*x)^(3/2))/32 - (65219*(1 - 2*x)^(1/2))/32 - (64317*(1 - 2*x)^(5/2))/80 + (28555*(1 - 2*x)^(7/2))/112 - (4225*(1 - 2*x)^(9/2))/96 + (1125*(1 - 2*x)^(11/2))/352","B"
2027,1,46,66,0.023450,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^3)/(1 - 2*x)^(1/2),x)","\frac{2783\,{\left(1-2\,x\right)}^{3/2}}{8}-\frac{9317\,\sqrt{1-2\,x}}{16}-\frac{561\,{\left(1-2\,x\right)}^{5/2}}{4}+\frac{1675\,{\left(1-2\,x\right)}^{7/2}}{56}-\frac{125\,{\left(1-2\,x\right)}^{9/2}}{48}","Not used",1,"(2783*(1 - 2*x)^(3/2))/8 - (9317*(1 - 2*x)^(1/2))/16 - (561*(1 - 2*x)^(5/2))/4 + (1675*(1 - 2*x)^(7/2))/56 - (125*(1 - 2*x)^(9/2))/48","B"
2028,1,37,53,0.032872,"\text{Not used}","int((5*x + 3)^3/(1 - 2*x)^(1/2),x)","\frac{605\,{\left(1-2\,x\right)}^{3/2}}{8}-\frac{1331\,\sqrt{1-2\,x}}{8}-\frac{165\,{\left(1-2\,x\right)}^{5/2}}{8}+\frac{125\,{\left(1-2\,x\right)}^{7/2}}{56}","Not used",1,"(605*(1 - 2*x)^(3/2))/8 - (1331*(1 - 2*x)^(1/2))/8 - (165*(1 - 2*x)^(5/2))/8 + (125*(1 - 2*x)^(7/2))/56","B"
2029,1,48,67,1.181648,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(1/2)*(3*x + 2)),x)","\frac{400\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{5135\,\sqrt{1-2\,x}}{108}-\frac{25\,{\left(1-2\,x\right)}^{5/2}}{12}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,2{}\mathrm{i}}{567}","Not used",1,"(400*(1 - 2*x)^(3/2))/27 - (5135*(1 - 2*x)^(1/2))/108 - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*2i)/567 - (25*(1 - 2*x)^(5/2))/12","B"
2030,1,55,73,1.184989,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(1/2)*(3*x + 2)^2),x)","\frac{2\,\sqrt{1-2\,x}}{567\,\left(2\,x+\frac{4}{3}\right)}-\frac{725\,\sqrt{1-2\,x}}{54}+\frac{125\,{\left(1-2\,x\right)}^{3/2}}{54}+\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,208{}\mathrm{i}}{3969}","Not used",1,"(21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*208i)/3969 + (2*(1 - 2*x)^(1/2))/(567*(2*x + 4/3)) - (725*(1 - 2*x)^(1/2))/54 + (125*(1 - 2*x)^(3/2))/54","B"
2031,1,63,80,0.060759,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(1/2)*(3*x + 2)^3),x)","\frac{2381\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{9261}-\frac{125\,\sqrt{1-2\,x}}{27}-\frac{\frac{205\,\sqrt{1-2\,x}}{1701}-\frac{23\,{\left(1-2\,x\right)}^{3/2}}{441}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(2381*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/9261 - (125*(1 - 2*x)^(1/2))/27 - ((205*(1 - 2*x)^(1/2))/1701 - (23*(1 - 2*x)^(3/2))/441)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
2032,1,71,80,0.065450,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(1/2)*(3*x + 2)^4),x)","\frac{\frac{6836\,\sqrt{1-2\,x}}{5103}-\frac{41620\,{\left(1-2\,x\right)}^{3/2}}{35721}+\frac{7040\,{\left(1-2\,x\right)}^{5/2}}{27783}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}-\frac{78710\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{194481}","Not used",1,"((6836*(1 - 2*x)^(1/2))/5103 - (41620*(1 - 2*x)^(3/2))/35721 + (7040*(1 - 2*x)^(5/2))/27783)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27) - (78710*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/194481","B"
2033,1,90,100,1.186828,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(1/2)*(3*x + 2)^5),x)","-\frac{42995\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{777924}-\frac{\frac{274027\,\sqrt{1-2\,x}}{61236}-\frac{363407\,{\left(1-2\,x\right)}^{3/2}}{61236}+\frac{374945\,{\left(1-2\,x\right)}^{5/2}}{142884}-\frac{42995\,{\left(1-2\,x\right)}^{7/2}}{111132}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"- (42995*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/777924 - ((274027*(1 - 2*x)^(1/2))/61236 - (363407*(1 - 2*x)^(3/2))/61236 + (374945*(1 - 2*x)^(5/2))/142884 - (42995*(1 - 2*x)^(7/2))/111132)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
2034,1,108,120,0.070735,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(1/2)*(3*x + 2)^6),x)","-\frac{5293\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{453789}-\frac{\frac{58781\,\sqrt{1-2\,x}}{15309}-\frac{648694\,{\left(1-2\,x\right)}^{3/2}}{107163}+\frac{628504\,{\left(1-2\,x\right)}^{5/2}}{178605}-\frac{10586\,{\left(1-2\,x\right)}^{7/2}}{11907}+\frac{5293\,{\left(1-2\,x\right)}^{9/2}}{64827}}{\frac{24010\,x}{81}+\frac{3430\,{\left(2\,x-1\right)}^2}{27}+\frac{490\,{\left(2\,x-1\right)}^3}{9}+\frac{35\,{\left(2\,x-1\right)}^4}{3}+{\left(2\,x-1\right)}^5-\frac{19208}{243}}","Not used",1,"- (5293*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/453789 - ((58781*(1 - 2*x)^(1/2))/15309 - (648694*(1 - 2*x)^(3/2))/107163 + (628504*(1 - 2*x)^(5/2))/178605 - (10586*(1 - 2*x)^(7/2))/11907 + (5293*(1 - 2*x)^(9/2))/64827)/((24010*x)/81 + (3430*(2*x - 1)^2)/27 + (490*(2*x - 1)^3)/9 + (35*(2*x - 1)^4)/3 + (2*x - 1)^5 - 19208/243)","B"
2035,1,210,132,1.331637,"\text{Not used}","int((a + b*x)^2/((e + f*x)^(1/2)*(c + d*x)^2),x)","\frac{2\,b^2\,\sqrt{e+f\,x}}{d^2\,f}+\frac{\sqrt{e+f\,x}\,\left(f\,a^2\,d^2-2\,f\,a\,b\,c\,d+f\,b^2\,c^2\right)}{\left(c\,f-d\,e\right)\,\left(d^3\,\left(e+f\,x\right)-d^3\,e+c\,d^2\,f\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e+f\,x}\,\left(a\,d-b\,c\right)\,\left(a\,d\,f+3\,b\,c\,f-4\,b\,d\,e\right)}{\sqrt{c\,f-d\,e}\,\left(f\,a^2\,d^2+2\,f\,a\,b\,c\,d-4\,e\,a\,b\,d^2-3\,f\,b^2\,c^2+4\,e\,b^2\,c\,d\right)}\right)\,\left(a\,d-b\,c\right)\,\left(a\,d\,f+3\,b\,c\,f-4\,b\,d\,e\right)}{d^{5/2}\,{\left(c\,f-d\,e\right)}^{3/2}}","Not used",1,"(2*b^2*(e + f*x)^(1/2))/(d^2*f) + ((e + f*x)^(1/2)*(a^2*d^2*f + b^2*c^2*f - 2*a*b*c*d*f))/((c*f - d*e)*(d^3*(e + f*x) - d^3*e + c*d^2*f)) + (atan((d^(1/2)*(e + f*x)^(1/2)*(a*d - b*c)*(a*d*f + 3*b*c*f - 4*b*d*e))/((c*f - d*e)^(1/2)*(a^2*d^2*f - 3*b^2*c^2*f - 4*a*b*d^2*e + 4*b^2*c*d*e + 2*a*b*c*d*f)))*(a*d - b*c)*(a*d*f + 3*b*c*f - 4*b*d*e))/(d^(5/2)*(c*f - d*e)^(3/2))","B"
2036,1,66,93,1.166824,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(1/2)*(5*x + 3)),x)","\frac{268707\,{\left(1-2\,x\right)}^{3/2}}{5000}-\frac{4774713\,\sqrt{1-2\,x}}{50000}-\frac{51057\,{\left(1-2\,x\right)}^{5/2}}{2500}+\frac{5751\,{\left(1-2\,x\right)}^{7/2}}{1400}-\frac{27\,{\left(1-2\,x\right)}^{9/2}}{80}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{171875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/171875 - (4774713*(1 - 2*x)^(1/2))/50000 + (268707*(1 - 2*x)^(3/2))/5000 - (51057*(1 - 2*x)^(5/2))/2500 + (5751*(1 - 2*x)^(7/2))/1400 - (27*(1 - 2*x)^(9/2))/80","B"
2037,1,57,80,1.188715,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)),x)","\frac{11457\,{\left(1-2\,x\right)}^{3/2}}{1000}-\frac{136419\,\sqrt{1-2\,x}}{5000}-\frac{2889\,{\left(1-2\,x\right)}^{5/2}}{1000}+\frac{81\,{\left(1-2\,x\right)}^{7/2}}{280}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{34375}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/34375 - (136419*(1 - 2*x)^(1/2))/5000 + (11457*(1 - 2*x)^(3/2))/1000 - (2889*(1 - 2*x)^(5/2))/1000 + (81*(1 - 2*x)^(7/2))/280","B"
2038,1,48,67,0.063273,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)),x)","\frac{54\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{3897\,\sqrt{1-2\,x}}{500}-\frac{27\,{\left(1-2\,x\right)}^{5/2}}{100}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{6875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/6875 - (3897*(1 - 2*x)^(1/2))/500 + (54*(1 - 2*x)^(3/2))/25 - (27*(1 - 2*x)^(5/2))/100","B"
2039,1,37,54,1.225848,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)),x)","\frac{3\,{\left(1-2\,x\right)}^{3/2}}{10}-\frac{111\,\sqrt{1-2\,x}}{50}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1375}","Not used",1,"(3*(1 - 2*x)^(3/2))/10 - (111*(1 - 2*x)^(1/2))/50 - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1375","B"
2040,1,28,41,1.216446,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)),x)","-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{275}-\frac{3\,\sqrt{1-2\,x}}{5}","Not used",1,"- (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/275 - (3*(1 - 2*x)^(1/2))/5","B"
2041,1,15,25,0.081633,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(5*x + 3)),x)","-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55-110\,x}}{11}\right)}{55}","Not used",1,"-(2*55^(1/2)*atanh((55 - 110*x)^(1/2)/11))/55","B"
2042,1,37,55,1.258189,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)),x)","\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}","Not used",1,"(2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11","B"
2043,1,53,77,0.097671,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)),x)","\frac{72\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{10\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}+\frac{2\,\sqrt{1-2\,x}}{7\,\left(2\,x+\frac{4}{3}\right)}","Not used",1,"(72*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - (10*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 + (2*(1 - 2*x)^(1/2))/(7*(2*x + 4/3))","B"
2044,1,71,97,1.270284,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)),x)","\frac{2523\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{50\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}+\frac{\frac{25\,\sqrt{1-2\,x}}{7}-\frac{73\,{\left(1-2\,x\right)}^{3/2}}{49}}{\frac{28\,x}{3}+{\left(2\,x-1\right)}^2+\frac{7}{9}}","Not used",1,"(2523*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - (50*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 + ((25*(1 - 2*x)^(1/2))/7 - (73*(1 - 2*x)^(3/2))/49)/((28*x)/3 + (2*x - 1)^2 + 7/9)","B"
2045,1,89,117,0.102155,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)),x)","\frac{88310\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}+\frac{\frac{2636\,\sqrt{1-2\,x}}{63}-\frac{15580\,{\left(1-2\,x\right)}^{3/2}}{441}+\frac{2560\,{\left(1-2\,x\right)}^{5/2}}{343}}{\frac{98\,x}{3}+7\,{\left(2\,x-1\right)}^2+{\left(2\,x-1\right)}^3-\frac{98}{27}}","Not used",1,"(88310*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 + ((2636*(1 - 2*x)^(1/2))/63 - (15580*(1 - 2*x)^(3/2))/441 + (2560*(1 - 2*x)^(5/2))/343)/((98*x)/3 + 7*(2*x - 1)^2 + (2*x - 1)^3 - 98/27)","B"
2046,1,107,137,1.275167,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^5*(5*x + 3)),x)","\frac{36045\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{196}-\frac{1250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{11}+\frac{\frac{369133\,\sqrt{1-2\,x}}{756}-\frac{22373\,{\left(1-2\,x\right)}^{3/2}}{36}+\frac{1055\,{\left(1-2\,x\right)}^{5/2}}{4}-\frac{1045\,{\left(1-2\,x\right)}^{7/2}}{28}}{\frac{2744\,x}{27}+\frac{98\,{\left(2\,x-1\right)}^2}{3}+\frac{28\,{\left(2\,x-1\right)}^3}{3}+{\left(2\,x-1\right)}^4-\frac{1715}{81}}","Not used",1,"(36045*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/196 - (1250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/11 + ((369133*(1 - 2*x)^(1/2))/756 - (22373*(1 - 2*x)^(3/2))/36 + (1055*(1 - 2*x)^(5/2))/4 - (1045*(1 - 2*x)^(7/2))/28)/((2744*x)/27 + (98*(2*x - 1)^2)/3 + (28*(2*x - 1)^3)/3 + (2*x - 1)^4 - 1715/81)","B"
2047,1,82,133,0.059069,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","\frac{105228\,{\left(1-2\,x\right)}^{3/2}}{3125}-\frac{607689\,\sqrt{1-2\,x}}{10000}-\frac{2\,\sqrt{1-2\,x}}{859375\,\left(2\,x+\frac{6}{5}\right)}-\frac{315171\,{\left(1-2\,x\right)}^{5/2}}{25000}+\frac{2187\,{\left(1-2\,x\right)}^{7/2}}{875}-\frac{81\,{\left(1-2\,x\right)}^{9/2}}{400}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,398{}\mathrm{i}}{9453125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*398i)/9453125 - (2*(1 - 2*x)^(1/2))/(859375*(2*x + 6/5)) - (607689*(1 - 2*x)^(1/2))/10000 + (105228*(1 - 2*x)^(3/2))/3125 - (315171*(1 - 2*x)^(5/2))/25000 + (2187*(1 - 2*x)^(7/2))/875 - (81*(1 - 2*x)^(9/2))/400","B"
2048,1,73,113,1.222741,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","\frac{35703\,{\left(1-2\,x\right)}^{3/2}}{5000}-\frac{434043\,\sqrt{1-2\,x}}{25000}-\frac{2\,\sqrt{1-2\,x}}{171875\,\left(2\,x+\frac{6}{5}\right)}-\frac{8829\,{\left(1-2\,x\right)}^{5/2}}{5000}+\frac{243\,{\left(1-2\,x\right)}^{7/2}}{1400}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,332{}\mathrm{i}}{1890625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*332i)/1890625 - (2*(1 - 2*x)^(1/2))/(171875*(2*x + 6/5)) - (434043*(1 - 2*x)^(1/2))/25000 + (35703*(1 - 2*x)^(3/2))/5000 - (8829*(1 - 2*x)^(5/2))/5000 + (243*(1 - 2*x)^(7/2))/1400","B"
2049,1,64,93,0.052436,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","\frac{333\,{\left(1-2\,x\right)}^{3/2}}{250}-\frac{12393\,\sqrt{1-2\,x}}{2500}-\frac{2\,\sqrt{1-2\,x}}{34375\,\left(2\,x+\frac{6}{5}\right)}-\frac{81\,{\left(1-2\,x\right)}^{5/2}}{500}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,266{}\mathrm{i}}{378125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*266i)/378125 - (2*(1 - 2*x)^(1/2))/(34375*(2*x + 6/5)) - (12393*(1 - 2*x)^(1/2))/2500 + (333*(1 - 2*x)^(3/2))/250 - (81*(1 - 2*x)^(5/2))/500","B"
2050,1,55,73,0.066956,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","\frac{9\,{\left(1-2\,x\right)}^{3/2}}{50}-\frac{351\,\sqrt{1-2\,x}}{250}-\frac{2\,\sqrt{1-2\,x}}{6875\,\left(2\,x+\frac{6}{5}\right)}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,8{}\mathrm{i}}{3025}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*8i)/3025 - (2*(1 - 2*x)^(1/2))/(6875*(2*x + 6/5)) - (351*(1 - 2*x)^(1/2))/250 + (9*(1 - 2*x)^(3/2))/50","B"
2051,1,44,61,1.225080,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","-\frac{134\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{15125}-\frac{2\,\sqrt{1-2\,x}}{1375\,\left(2\,x+\frac{6}{5}\right)}-\frac{9\,\sqrt{1-2\,x}}{25}","Not used",1,"- (134*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/15125 - (2*(1 - 2*x)^(1/2))/(1375*(2*x + 6/5)) - (9*(1 - 2*x)^(1/2))/25","B"
2052,1,35,48,0.058859,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","-\frac{68\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{3025}-\frac{2\,\sqrt{1-2\,x}}{275\,\left(2\,x+\frac{6}{5}\right)}","Not used",1,"- (68*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/3025 - (2*(1 - 2*x)^(1/2))/(275*(2*x + 6/5))","B"
2053,1,35,48,0.053501,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(5*x + 3)^2),x)","-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{605}-\frac{2\,\sqrt{1-2\,x}}{55\,\left(2\,x+\frac{6}{5}\right)}","Not used",1,"- (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/605 - (2*(1 - 2*x)^(1/2))/(55*(2*x + 6/5))","B"
2054,1,53,77,0.095752,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^2),x)","\frac{64\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}-\frac{6\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{2\,\sqrt{1-2\,x}}{11\,\left(2\,x+\frac{6}{5}\right)}","Not used",1,"(64*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 - (6*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - (2*(1 - 2*x)^(1/2))/(11*(2*x + 6/5))","B"
2055,1,72,106,0.099210,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^2),x)","\frac{650\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}-\frac{426\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{\frac{4628\,\sqrt{1-2\,x}}{1155}-\frac{136\,{\left(1-2\,x\right)}^{3/2}}{77}}{\frac{136\,x}{15}+{\left(2\,x-1\right)}^2+\frac{3}{5}}","Not used",1,"(650*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 - (426*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - ((4628*(1 - 2*x)^(1/2))/1155 - (136*(1 - 2*x)^(3/2))/77)/((136*x)/15 + (2*x - 1)^2 + 3/5)","B"
2056,1,90,133,1.277436,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^2),x)","\frac{4900\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}-\frac{22479\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{48731\,\sqrt{1-2\,x}}{693}-\frac{494702\,{\left(1-2\,x\right)}^{3/2}}{8085}+\frac{7169\,{\left(1-2\,x\right)}^{5/2}}{539}}{\frac{1414\,x}{45}+\frac{103\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{56}{15}}","Not used",1,"(4900*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 - (22479*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((48731*(1 - 2*x)^(1/2))/693 - (494702*(1 - 2*x)^(3/2))/8085 + (7169*(1 - 2*x)^(5/2))/539)/((1414*x)/45 + (103*(2*x - 1)^2)/15 + (2*x - 1)^3 - 56/15)","B"
2057,1,108,160,0.103126,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^2),x)","\frac{32750\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}-\frac{1051695\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{\frac{11398529\,\sqrt{1-2\,x}}{10395}-\frac{2302841\,{\left(1-2\,x\right)}^{3/2}}{1617}+\frac{6976547\,{\left(1-2\,x\right)}^{5/2}}{11319}-\frac{335395\,{\left(1-2\,x\right)}^{7/2}}{3773}}{\frac{13132\,x}{135}+\frac{476\,{\left(2\,x-1\right)}^2}{15}+\frac{46\,{\left(2\,x-1\right)}^3}{5}+{\left(2\,x-1\right)}^4-\frac{931}{45}}","Not used",1,"(32750*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 - (1051695*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - ((11398529*(1 - 2*x)^(1/2))/10395 - (2302841*(1 - 2*x)^(3/2))/1617 + (6976547*(1 - 2*x)^(5/2))/11319 - (335395*(1 - 2*x)^(7/2))/3773)/((13132*x)/135 + (476*(2*x - 1)^2)/15 + (46*(2*x - 1)^3)/5 + (2*x - 1)^4 - 931/45)","B"
2058,1,92,140,0.057431,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","\frac{111213\,{\left(1-2\,x\right)}^{3/2}}{25000}-\frac{276183\,\sqrt{1-2\,x}}{25000}-\frac{26973\,{\left(1-2\,x\right)}^{5/2}}{25000}+\frac{729\,{\left(1-2\,x\right)}^{7/2}}{7000}-\frac{\frac{401\,\sqrt{1-2\,x}}{4296875}-\frac{399\,{\left(1-2\,x\right)}^{3/2}}{9453125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,33069{}\mathrm{i}}{103984375}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*33069i)/103984375 - (276183*(1 - 2*x)^(1/2))/25000 + (111213*(1 - 2*x)^(3/2))/25000 - (26973*(1 - 2*x)^(5/2))/25000 + (729*(1 - 2*x)^(7/2))/7000 - ((401*(1 - 2*x)^(1/2))/4296875 - (399*(1 - 2*x)^(3/2))/9453125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2059,1,83,120,0.055776,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","\frac{513\,{\left(1-2\,x\right)}^{3/2}}{625}-\frac{39393\,\sqrt{1-2\,x}}{12500}-\frac{243\,{\left(1-2\,x\right)}^{5/2}}{2500}-\frac{\frac{67\,\sqrt{1-2\,x}}{171875}-\frac{333\,{\left(1-2\,x\right)}^{3/2}}{1890625}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,22113{}\mathrm{i}}{20796875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*22113i)/20796875 - (39393*(1 - 2*x)^(1/2))/12500 + (513*(1 - 2*x)^(3/2))/625 - (243*(1 - 2*x)^(5/2))/2500 - ((67*(1 - 2*x)^(1/2))/171875 - (333*(1 - 2*x)^(3/2))/1890625)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2060,1,74,100,1.234574,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","\frac{27\,{\left(1-2\,x\right)}^{3/2}}{250}-\frac{1107\,\sqrt{1-2\,x}}{1250}-\frac{\frac{269\,\sqrt{1-2\,x}}{171875}-\frac{267\,{\left(1-2\,x\right)}^{3/2}}{378125}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2667{}\mathrm{i}}{831875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2667i)/831875 - (1107*(1 - 2*x)^(1/2))/1250 + (27*(1 - 2*x)^(3/2))/250 - ((269*(1 - 2*x)^(1/2))/171875 - (267*(1 - 2*x)^(3/2))/378125)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2061,1,63,80,1.239292,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","-\frac{1347\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{166375}-\frac{27\,\sqrt{1-2\,x}}{125}-\frac{\frac{203\,\sqrt{1-2\,x}}{34375}-\frac{201\,{\left(1-2\,x\right)}^{3/2}}{75625}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"- (1347*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/166375 - (27*(1 - 2*x)^(1/2))/125 - ((203*(1 - 2*x)^(1/2))/34375 - (201*(1 - 2*x)^(3/2))/75625)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2062,1,54,68,1.231828,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","-\frac{2313\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{166375}-\frac{\frac{137\,\sqrt{1-2\,x}}{6875}-\frac{27\,{\left(1-2\,x\right)}^{3/2}}{3025}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"- (2313*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/166375 - ((137*(1 - 2*x)^(1/2))/6875 - (27*(1 - 2*x)^(3/2))/3025)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2063,1,54,68,0.061857,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","-\frac{69\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{33275}-\frac{\frac{71\,\sqrt{1-2\,x}}{1375}-\frac{69\,{\left(1-2\,x\right)}^{3/2}}{3025}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"- (69*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/33275 - ((71*(1 - 2*x)^(1/2))/1375 - (69*(1 - 2*x)^(3/2))/3025)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2064,1,54,68,0.057101,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(5*x + 3)^3),x)","-\frac{3\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{6655}-\frac{\frac{\sqrt{1-2\,x}}{55}-\frac{3\,{\left(1-2\,x\right)}^{3/2}}{605}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"- (3*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/6655 - ((1 - 2*x)^(1/2)/55 - (3*(1 - 2*x)^(3/2))/605)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2065,1,71,97,1.269577,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^3),x)","\frac{18\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7}-\frac{2115\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}+\frac{\frac{61\,\sqrt{1-2\,x}}{55}-\frac{63\,{\left(1-2\,x\right)}^{3/2}}{121}}{\frac{44\,x}{5}+{\left(2\,x-1\right)}^2+\frac{11}{25}}","Not used",1,"(18*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7 - (2115*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331 + ((61*(1 - 2*x)^(1/2))/55 - (63*(1 - 2*x)^(3/2))/121)/((44*x)/5 + (2*x - 1)^2 + 11/25)","B"
2066,1,89,126,0.102744,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^3),x)","\frac{1908\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{32025\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}+\frac{\frac{227449\,\sqrt{1-2\,x}}{5775}-\frac{149486\,{\left(1-2\,x\right)}^{3/2}}{4235}+\frac{6693\,{\left(1-2\,x\right)}^{5/2}}{847}}{\frac{2266\,x}{75}+\frac{101\,{\left(2\,x-1\right)}^2}{15}+{\left(2\,x-1\right)}^3-\frac{286}{75}}","Not used",1,"(1908*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - (32025*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331 + ((227449*(1 - 2*x)^(1/2))/5775 - (149486*(1 - 2*x)^(3/2))/4235 + (6693*(1 - 2*x)^(5/2))/847)/((2266*x)/75 + (101*(2*x - 1)^2)/15 + (2*x - 1)^3 - 286/75)","B"
2067,1,107,153,0.105995,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^3),x)","\frac{134217\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{321825\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}+\frac{\frac{3200266\,\sqrt{1-2\,x}}{3465}-\frac{544072216\,{\left(1-2\,x\right)}^{3/2}}{444675}+\frac{16009054\,{\left(1-2\,x\right)}^{5/2}}{29645}-\frac{470832\,{\left(1-2\,x\right)}^{7/2}}{5929}}{\frac{20944\,x}{225}+\frac{6934\,{\left(2\,x-1\right)}^2}{225}+\frac{136\,{\left(2\,x-1\right)}^3}{15}+{\left(2\,x-1\right)}^4-\frac{4543}{225}}","Not used",1,"(134217*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - (321825*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331 + ((3200266*(1 - 2*x)^(1/2))/3465 - (544072216*(1 - 2*x)^(3/2))/444675 + (16009054*(1 - 2*x)^(5/2))/29645 - (470832*(1 - 2*x)^(7/2))/5929)/((20944*x)/225 + (6934*(2*x - 1)^2)/225 + (136*(2*x - 1)^3)/15 + (2*x - 1)^4 - 4543/225)","B"
2068,1,125,180,1.288600,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^3),x)","\frac{\frac{936198007\,\sqrt{1-2\,x}}{51975}-\frac{936232056\,{\left(1-2\,x\right)}^{3/2}}{29645}+\frac{4307663886\,{\left(1-2\,x\right)}^{5/2}}{207515}-\frac{251606352\,{\left(1-2\,x\right)}^{7/2}}{41503}+\frac{27547155\,{\left(1-2\,x\right)}^{9/2}}{41503}}{\frac{182182\,x}{675}+\frac{79954\,{\left(2\,x-1\right)}^2}{675}+\frac{3898\,{\left(2\,x-1\right)}^3}{75}+\frac{57\,{\left(2\,x-1\right)}^4}{5}+{\left(2\,x-1\right)}^5-\frac{49588}{675}}+\frac{7852680\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{2689875\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"((936198007*(1 - 2*x)^(1/2))/51975 - (936232056*(1 - 2*x)^(3/2))/29645 + (4307663886*(1 - 2*x)^(5/2))/207515 - (251606352*(1 - 2*x)^(7/2))/41503 + (27547155*(1 - 2*x)^(9/2))/41503)/((182182*x)/675 + (79954*(2*x - 1)^2)/675 + (3898*(2*x - 1)^3)/75 + (57*(2*x - 1)^4)/5 + (2*x - 1)^5 - 49588/675) + (7852680*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (2689875*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2069,1,82,118,1.212339,"\text{Not used}","int(((3*x + 2)^7*(5*x + 3))/(1 - 2*x)^(3/2),x)","\frac{9058973}{256\,\sqrt{1-2\,x}}+\frac{15647317\,\sqrt{1-2\,x}}{128}-\frac{7882483\,{\left(1-2\,x\right)}^{3/2}}{128}+\frac{4084101\,{\left(1-2\,x\right)}^{5/2}}{128}-\frac{787185\,{\left(1-2\,x\right)}^{7/2}}{64}+\frac{422919\,{\left(1-2\,x\right)}^{9/2}}{128}-\frac{821583\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{101331\,{\left(1-2\,x\right)}^{13/2}}{1664}-\frac{729\,{\left(1-2\,x\right)}^{15/2}}{256}","Not used",1,"9058973/(256*(1 - 2*x)^(1/2)) + (15647317*(1 - 2*x)^(1/2))/128 - (7882483*(1 - 2*x)^(3/2))/128 + (4084101*(1 - 2*x)^(5/2))/128 - (787185*(1 - 2*x)^(7/2))/64 + (422919*(1 - 2*x)^(9/2))/128 - (821583*(1 - 2*x)^(11/2))/1408 + (101331*(1 - 2*x)^(13/2))/1664 - (729*(1 - 2*x)^(15/2))/256","B"
2070,1,73,105,0.035338,"\text{Not used}","int(((3*x + 2)^6*(5*x + 3))/(1 - 2*x)^(3/2),x)","\frac{1294139}{128\,\sqrt{1-2\,x}}+\frac{3916031\,\sqrt{1-2\,x}}{128}-\frac{1692705\,{\left(1-2\,x\right)}^{3/2}}{128}+\frac{731619\,{\left(1-2\,x\right)}^{5/2}}{128}-\frac{225855\,{\left(1-2\,x\right)}^{7/2}}{128}+\frac{45549\,{\left(1-2\,x\right)}^{9/2}}{128}-\frac{59049\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{3645\,{\left(1-2\,x\right)}^{13/2}}{1664}","Not used",1,"1294139/(128*(1 - 2*x)^(1/2)) + (3916031*(1 - 2*x)^(1/2))/128 - (1692705*(1 - 2*x)^(3/2))/128 + (731619*(1 - 2*x)^(5/2))/128 - (225855*(1 - 2*x)^(7/2))/128 + (45549*(1 - 2*x)^(9/2))/128 - (59049*(1 - 2*x)^(11/2))/1408 + (3645*(1 - 2*x)^(13/2))/1664","B"
2071,1,64,92,0.030242,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3))/(1 - 2*x)^(3/2),x)","\frac{184877}{64\,\sqrt{1-2\,x}}+\frac{60025\,\sqrt{1-2\,x}}{8}-\frac{173215\,{\left(1-2\,x\right)}^{3/2}}{64}+\frac{7497\,{\left(1-2\,x\right)}^{5/2}}{8}-\frac{13905\,{\left(1-2\,x\right)}^{7/2}}{64}+\frac{117\,{\left(1-2\,x\right)}^{9/2}}{4}-\frac{1215\,{\left(1-2\,x\right)}^{11/2}}{704}","Not used",1,"184877/(64*(1 - 2*x)^(1/2)) + (60025*(1 - 2*x)^(1/2))/8 - (173215*(1 - 2*x)^(3/2))/64 + (7497*(1 - 2*x)^(5/2))/8 - (13905*(1 - 2*x)^(7/2))/64 + (117*(1 - 2*x)^(9/2))/4 - (1215*(1 - 2*x)^(11/2))/704","B"
2072,1,55,79,0.028621,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3))/(1 - 2*x)^(3/2),x)","\frac{26411}{32\,\sqrt{1-2\,x}}+\frac{57281\,\sqrt{1-2\,x}}{32}-\frac{8281\,{\left(1-2\,x\right)}^{3/2}}{16}+\frac{10773\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{4671\,{\left(1-2\,x\right)}^{7/2}}{224}+\frac{45\,{\left(1-2\,x\right)}^{9/2}}{32}","Not used",1,"26411/(32*(1 - 2*x)^(1/2)) + (57281*(1 - 2*x)^(1/2))/32 - (8281*(1 - 2*x)^(3/2))/16 + (10773*(1 - 2*x)^(5/2))/80 - (4671*(1 - 2*x)^(7/2))/224 + (45*(1 - 2*x)^(9/2))/32","B"
2073,1,46,66,0.025441,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3))/(1 - 2*x)^(3/2),x)","\frac{3773}{16\,\sqrt{1-2\,x}}+\frac{3283\,\sqrt{1-2\,x}}{8}-\frac{357\,{\left(1-2\,x\right)}^{3/2}}{4}+\frac{621\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{135\,{\left(1-2\,x\right)}^{7/2}}{112}","Not used",1,"3773/(16*(1 - 2*x)^(1/2)) + (3283*(1 - 2*x)^(1/2))/8 - (357*(1 - 2*x)^(3/2))/4 + (621*(1 - 2*x)^(5/2))/40 - (135*(1 - 2*x)^(7/2))/112","B"
2074,1,37,53,0.038700,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3))/(1 - 2*x)^(3/2),x)","\frac{539}{8\,\sqrt{1-2\,x}}+\frac{707\,\sqrt{1-2\,x}}{8}-\frac{103\,{\left(1-2\,x\right)}^{3/2}}{8}+\frac{9\,{\left(1-2\,x\right)}^{5/2}}{8}","Not used",1,"539/(8*(1 - 2*x)^(1/2)) + (707*(1 - 2*x)^(1/2))/8 - (103*(1 - 2*x)^(3/2))/8 + (9*(1 - 2*x)^(5/2))/8","B"
2075,1,23,38,0.033241,"\text{Not used}","int(((3*x + 2)*(5*x + 3))/(1 - 2*x)^(3/2),x)","-\frac{136\,x+5\,{\left(2\,x-1\right)}^2-145}{4\,\sqrt{1-2\,x}}","Not used",1,"-(136*x + 5*(2*x - 1)^2 - 145)/(4*(1 - 2*x)^(1/2))","B"
2076,1,14,27,0.025528,"\text{Not used}","int((5*x + 3)/(1 - 2*x)^(3/2),x)","-\frac{5\,x-8}{\sqrt{1-2\,x}}","Not used",1,"-(5*x - 8)/(1 - 2*x)^(1/2)","B"
2077,1,28,41,0.062774,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(3/2)*(3*x + 2)),x)","\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{147}+\frac{11}{7\,\sqrt{1-2\,x}}","Not used",1,"(2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/147 + 11/(7*(1 - 2*x)^(1/2))","B"
2078,1,46,61,1.244188,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(3/2)*(3*x + 2)^2),x)","\frac{\frac{128\,x}{147}+\frac{30}{49}}{\frac{7\,\sqrt{1-2\,x}}{3}-{\left(1-2\,x\right)}^{3/2}}-\frac{64\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1029}","Not used",1,"((128*x)/147 + 30/49)/((7*(1 - 2*x)^(1/2))/3 - (1 - 2*x)^(3/2)) - (64*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1029","B"
2079,1,62,83,0.076408,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(3/2)*(3*x + 2)^3),x)","\frac{\frac{650\,x}{441}+\frac{65\,{\left(2\,x-1\right)}^2}{343}-\frac{17}{441}}{\frac{49\,\sqrt{1-2\,x}}{9}-\frac{14\,{\left(1-2\,x\right)}^{3/2}}{3}+{\left(1-2\,x\right)}^{5/2}}-\frac{65\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}","Not used",1,"((650*x)/441 + (65*(2*x - 1)^2)/343 - 17/441)/((49*(1 - 2*x)^(1/2))/9 - (14*(1 - 2*x)^(3/2))/3 + (1 - 2*x)^(5/2)) - (65*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401","B"
2080,1,82,101,0.068115,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(3/2)*(3*x + 2)^4),x)","\frac{\frac{44\,x}{27}+\frac{80\,{\left(2\,x-1\right)}^2}{189}+\frac{10\,{\left(2\,x-1\right)}^3}{147}-\frac{22}{63}}{\frac{343\,\sqrt{1-2\,x}}{27}-\frac{49\,{\left(1-2\,x\right)}^{3/2}}{3}+7\,{\left(1-2\,x\right)}^{5/2}-{\left(1-2\,x\right)}^{7/2}}-\frac{10\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1029}","Not used",1,"((44*x)/27 + (80*(2*x - 1)^2)/189 + (10*(2*x - 1)^3)/147 - 22/63)/((343*(1 - 2*x)^(1/2))/27 - (49*(1 - 2*x)^(3/2))/3 + 7*(1 - 2*x)^(5/2) - (1 - 2*x)^(7/2)) - (10*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1029","B"
2081,1,98,121,1.256963,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(3/2)*(3*x + 2)^5),x)","\frac{\frac{4061\,x}{2646}+\frac{9563\,{\left(2\,x-1\right)}^2}{15876}+\frac{7205\,{\left(2\,x-1\right)}^3}{37044}+\frac{655\,{\left(2\,x-1\right)}^4}{28812}-\frac{7255}{15876}}{\frac{2401\,\sqrt{1-2\,x}}{81}-\frac{1372\,{\left(1-2\,x\right)}^{3/2}}{27}+\frac{98\,{\left(1-2\,x\right)}^{5/2}}{3}-\frac{28\,{\left(1-2\,x\right)}^{7/2}}{3}+{\left(1-2\,x\right)}^{9/2}}-\frac{655\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{201684}","Not used",1,"((4061*x)/2646 + (9563*(2*x - 1)^2)/15876 + (7205*(2*x - 1)^3)/37044 + (655*(2*x - 1)^4)/28812 - 7255/15876)/((2401*(1 - 2*x)^(1/2))/81 - (1372*(1 - 2*x)^(3/2))/27 + (98*(1 - 2*x)^(5/2))/3 - (28*(1 - 2*x)^(7/2))/3 + (1 - 2*x)^(9/2)) - (655*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/201684","B"
2082,1,118,143,0.087691,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(3/2)*(3*x + 2)^6),x)","\frac{\frac{15826\,x}{11907}+\frac{6478\,{\left(2\,x-1\right)}^2}{9261}+\frac{5248\,{\left(2\,x-1\right)}^3}{15435}+\frac{82\,{\left(2\,x-1\right)}^4}{1029}+\frac{123\,{\left(2\,x-1\right)}^5}{16807}-\frac{5449}{11907}}{\frac{16807\,\sqrt{1-2\,x}}{243}-\frac{12005\,{\left(1-2\,x\right)}^{3/2}}{81}+\frac{3430\,{\left(1-2\,x\right)}^{5/2}}{27}-\frac{490\,{\left(1-2\,x\right)}^{7/2}}{9}+\frac{35\,{\left(1-2\,x\right)}^{9/2}}{3}-{\left(1-2\,x\right)}^{11/2}}-\frac{123\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{117649}","Not used",1,"((15826*x)/11907 + (6478*(2*x - 1)^2)/9261 + (5248*(2*x - 1)^3)/15435 + (82*(2*x - 1)^4)/1029 + (123*(2*x - 1)^5)/16807 - 5449/11907)/((16807*(1 - 2*x)^(1/2))/243 - (12005*(1 - 2*x)^(3/2))/81 + (3430*(1 - 2*x)^(5/2))/27 - (490*(1 - 2*x)^(7/2))/9 + (35*(1 - 2*x)^(9/2))/3 - (1 - 2*x)^(11/2)) - (123*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/117649","B"
2083,1,73,105,0.036759,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^2)/(1 - 2*x)^(3/2),x)","\frac{2033647}{128\,\sqrt{1-2\,x}}+\frac{6206585\,\sqrt{1-2\,x}}{128}-\frac{8117095\,{\left(1-2\,x\right)}^{3/2}}{384}+\frac{1179381\,{\left(1-2\,x\right)}^{5/2}}{128}-\frac{367155\,{\left(1-2\,x\right)}^{7/2}}{128}+\frac{74667\,{\left(1-2\,x\right)}^{9/2}}{128}-\frac{97605\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{6075\,{\left(1-2\,x\right)}^{13/2}}{1664}","Not used",1,"2033647/(128*(1 - 2*x)^(1/2)) + (6206585*(1 - 2*x)^(1/2))/128 - (8117095*(1 - 2*x)^(3/2))/384 + (1179381*(1 - 2*x)^(5/2))/128 - (367155*(1 - 2*x)^(7/2))/128 + (74667*(1 - 2*x)^(9/2))/128 - (97605*(1 - 2*x)^(11/2))/1408 + (6075*(1 - 2*x)^(13/2))/1664","B"
2084,1,64,92,0.031315,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^2)/(1 - 2*x)^(3/2),x)","\frac{290521}{64\,\sqrt{1-2\,x}}+\frac{381073\,\sqrt{1-2\,x}}{32}-\frac{832951\,{\left(1-2\,x\right)}^{3/2}}{192}+\frac{121359\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{159111\,{\left(1-2\,x\right)}^{7/2}}{448}+\frac{1545\,{\left(1-2\,x\right)}^{9/2}}{32}-\frac{2025\,{\left(1-2\,x\right)}^{11/2}}{704}","Not used",1,"290521/(64*(1 - 2*x)^(1/2)) + (381073*(1 - 2*x)^(1/2))/32 - (832951*(1 - 2*x)^(3/2))/192 + (121359*(1 - 2*x)^(5/2))/80 - (159111*(1 - 2*x)^(7/2))/448 + (1545*(1 - 2*x)^(9/2))/32 - (2025*(1 - 2*x)^(11/2))/704","B"
2085,1,55,79,0.027895,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^2)/(1 - 2*x)^(3/2),x)","\frac{41503}{32\,\sqrt{1-2\,x}}+\frac{91091\,\sqrt{1-2\,x}}{32}-\frac{39977\,{\left(1-2\,x\right)}^{3/2}}{48}+\frac{17541\,{\left(1-2\,x\right)}^{5/2}}{80}-\frac{7695\,{\left(1-2\,x\right)}^{7/2}}{224}+\frac{75\,{\left(1-2\,x\right)}^{9/2}}{32}","Not used",1,"41503/(32*(1 - 2*x)^(1/2)) + (91091*(1 - 2*x)^(1/2))/32 - (39977*(1 - 2*x)^(3/2))/48 + (17541*(1 - 2*x)^(5/2))/80 - (7695*(1 - 2*x)^(7/2))/224 + (75*(1 - 2*x)^(9/2))/32","B"
2086,1,46,66,0.028144,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^2)/(1 - 2*x)^(3/2),x)","\frac{5929}{16\,\sqrt{1-2\,x}}+\frac{1309\,\sqrt{1-2\,x}}{2}-\frac{3467\,{\left(1-2\,x\right)}^{3/2}}{24}+\frac{51\,{\left(1-2\,x\right)}^{5/2}}{2}-\frac{225\,{\left(1-2\,x\right)}^{7/2}}{112}","Not used",1,"5929/(16*(1 - 2*x)^(1/2)) + (1309*(1 - 2*x)^(1/2))/2 - (3467*(1 - 2*x)^(3/2))/24 + (51*(1 - 2*x)^(5/2))/2 - (225*(1 - 2*x)^(7/2))/112","B"
2087,1,37,53,0.037337,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^2)/(1 - 2*x)^(3/2),x)","\frac{847}{8\,\sqrt{1-2\,x}}+\frac{1133\,\sqrt{1-2\,x}}{8}-\frac{505\,{\left(1-2\,x\right)}^{3/2}}{24}+\frac{15\,{\left(1-2\,x\right)}^{5/2}}{8}","Not used",1,"847/(8*(1 - 2*x)^(1/2)) + (1133*(1 - 2*x)^(1/2))/8 - (505*(1 - 2*x)^(3/2))/24 + (15*(1 - 2*x)^(5/2))/8","B"
2088,1,23,40,0.031357,"\text{Not used}","int((5*x + 3)^2/(1 - 2*x)^(3/2),x)","-\frac{660\,x+25\,{\left(2\,x-1\right)}^2-693}{12\,\sqrt{1-2\,x}}","Not used",1,"-(660*x + 25*(2*x - 1)^2 - 693)/(12*(1 - 2*x)^(1/2))","B"
2089,1,37,54,0.055397,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(3/2)*(3*x + 2)),x)","\frac{121}{14\,\sqrt{1-2\,x}}-\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{441}+\frac{25\,\sqrt{1-2\,x}}{6}","Not used",1,"121/(14*(1 - 2*x)^(1/2)) - (2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/441 + (25*(1 - 2*x)^(1/2))/6","B"
2090,1,46,68,1.237925,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(3/2)*(3*x + 2)^2),x)","\frac{\frac{2182\,x}{441}+\frac{1450}{441}}{\frac{7\,\sqrt{1-2\,x}}{3}-{\left(1-2\,x\right)}^{3/2}}+\frac{134\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3087}","Not used",1,"((2182*x)/441 + 1450/441)/((7*(1 - 2*x)^(1/2))/3 - (1 - 2*x)^(3/2)) + (134*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3087","B"
2091,1,62,88,0.064012,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(3/2)*(3*x + 2)^3),x)","\frac{\frac{8450\,x}{1323}+\frac{2045\,{\left(2\,x-1\right)}^2}{3087}+\frac{857}{1323}}{\frac{49\,\sqrt{1-2\,x}}{9}-\frac{14\,{\left(1-2\,x\right)}^{3/2}}{3}+{\left(1-2\,x\right)}^{5/2}}-\frac{2045\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}","Not used",1,"((8450*x)/1323 + (2045*(2*x - 1)^2)/3087 + 857/1323)/((49*(1 - 2*x)^(1/2))/9 - (14*(1 - 2*x)^(3/2))/3 + (1 - 2*x)^(5/2)) - (2045*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609","B"
2092,1,82,108,0.069889,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(3/2)*(3*x + 2)^4),x)","\frac{\frac{4262\,x}{567}+\frac{7240\,{\left(2\,x-1\right)}^2}{3969}+\frac{905\,{\left(2\,x-1\right)}^3}{3087}-\frac{97}{81}}{\frac{343\,\sqrt{1-2\,x}}{27}-\frac{49\,{\left(1-2\,x\right)}^{3/2}}{3}+7\,{\left(1-2\,x\right)}^{5/2}-{\left(1-2\,x\right)}^{7/2}}-\frac{905\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}","Not used",1,"((4262*x)/567 + (7240*(2*x - 1)^2)/3969 + (905*(2*x - 1)^3)/3087 - 97/81)/((343*(1 - 2*x)^(1/2))/27 - (49*(1 - 2*x)^(3/2))/3 + 7*(1 - 2*x)^(5/2) - (1 - 2*x)^(7/2)) - (905*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609","B"
2093,1,98,128,0.079650,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(3/2)*(3*x + 2)^5),x)","\frac{\frac{175697\,x}{23814}+\frac{133517\,{\left(2\,x-1\right)}^2}{47628}+\frac{100595\,{\left(2\,x-1\right)}^3}{111132}+\frac{9145\,{\left(2\,x-1\right)}^4}{86436}-\frac{94385}{47628}}{\frac{2401\,\sqrt{1-2\,x}}{81}-\frac{1372\,{\left(1-2\,x\right)}^{3/2}}{27}+\frac{98\,{\left(1-2\,x\right)}^{5/2}}{3}-\frac{28\,{\left(1-2\,x\right)}^{7/2}}{3}+{\left(1-2\,x\right)}^{9/2}}-\frac{9145\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{605052}","Not used",1,"((175697*x)/23814 + (133517*(2*x - 1)^2)/47628 + (100595*(2*x - 1)^3)/111132 + (9145*(2*x - 1)^4)/86436 - 94385/47628)/((2401*(1 - 2*x)^(1/2))/81 - (1372*(1 - 2*x)^(3/2))/27 + (98*(1 - 2*x)^(5/2))/3 - (28*(1 - 2*x)^(7/2))/3 + (1 - 2*x)^(9/2)) - (9145*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/605052","B"
2094,1,73,105,0.035744,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^3)/(1 - 2*x)^(3/2),x)","\frac{3195731}{128\,\sqrt{1-2\,x}}+\frac{9836211\,\sqrt{1-2\,x}}{128}-\frac{4324397\,{\left(1-2\,x\right)}^{3/2}}{128}+\frac{9504551\,{\left(1-2\,x\right)}^{5/2}}{640}-\frac{4177401\,{\left(1-2\,x\right)}^{7/2}}{896}+\frac{122385\,{\left(1-2\,x\right)}^{9/2}}{128}-\frac{161325\,{\left(1-2\,x\right)}^{11/2}}{1408}+\frac{10125\,{\left(1-2\,x\right)}^{13/2}}{1664}","Not used",1,"3195731/(128*(1 - 2*x)^(1/2)) + (9836211*(1 - 2*x)^(1/2))/128 - (4324397*(1 - 2*x)^(3/2))/128 + (9504551*(1 - 2*x)^(5/2))/640 - (4177401*(1 - 2*x)^(7/2))/896 + (122385*(1 - 2*x)^(9/2))/128 - (161325*(1 - 2*x)^(11/2))/1408 + (10125*(1 - 2*x)^(13/2))/1664","B"
2095,1,64,92,0.031289,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^3)/(1 - 2*x)^(3/2),x)","\frac{456533}{64\,\sqrt{1-2\,x}}+\frac{302379\,\sqrt{1-2\,x}}{16}-\frac{444983\,{\left(1-2\,x\right)}^{3/2}}{64}+\frac{98209\,{\left(1-2\,x\right)}^{5/2}}{40}-\frac{260055\,{\left(1-2\,x\right)}^{7/2}}{448}+\frac{1275\,{\left(1-2\,x\right)}^{9/2}}{16}-\frac{3375\,{\left(1-2\,x\right)}^{11/2}}{704}","Not used",1,"456533/(64*(1 - 2*x)^(1/2)) + (302379*(1 - 2*x)^(1/2))/16 - (444983*(1 - 2*x)^(3/2))/64 + (98209*(1 - 2*x)^(5/2))/40 - (260055*(1 - 2*x)^(7/2))/448 + (1275*(1 - 2*x)^(9/2))/16 - (3375*(1 - 2*x)^(11/2))/704","B"
2096,1,55,79,0.028447,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^3)/(1 - 2*x)^(3/2),x)","\frac{65219}{32\,\sqrt{1-2\,x}}+\frac{144837\,\sqrt{1-2\,x}}{32}-\frac{21439\,{\left(1-2\,x\right)}^{3/2}}{16}+\frac{5711\,{\left(1-2\,x\right)}^{5/2}}{16}-\frac{12675\,{\left(1-2\,x\right)}^{7/2}}{224}+\frac{125\,{\left(1-2\,x\right)}^{9/2}}{32}","Not used",1,"65219/(32*(1 - 2*x)^(1/2)) + (144837*(1 - 2*x)^(1/2))/32 - (21439*(1 - 2*x)^(3/2))/16 + (5711*(1 - 2*x)^(5/2))/16 - (12675*(1 - 2*x)^(7/2))/224 + (125*(1 - 2*x)^(9/2))/32","B"
2097,1,46,66,0.025938,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^3)/(1 - 2*x)^(3/2),x)","\frac{9317}{16\,\sqrt{1-2\,x}}+\frac{8349\,\sqrt{1-2\,x}}{8}-\frac{935\,{\left(1-2\,x\right)}^{3/2}}{4}+\frac{335\,{\left(1-2\,x\right)}^{5/2}}{8}-\frac{375\,{\left(1-2\,x\right)}^{7/2}}{112}","Not used",1,"9317/(16*(1 - 2*x)^(1/2)) + (8349*(1 - 2*x)^(1/2))/8 - (935*(1 - 2*x)^(3/2))/4 + (335*(1 - 2*x)^(5/2))/8 - (375*(1 - 2*x)^(7/2))/112","B"
2098,1,37,53,0.034589,"\text{Not used}","int((5*x + 3)^3/(1 - 2*x)^(3/2),x)","\frac{1331}{8\,\sqrt{1-2\,x}}+\frac{1815\,\sqrt{1-2\,x}}{8}-\frac{275\,{\left(1-2\,x\right)}^{3/2}}{8}+\frac{25\,{\left(1-2\,x\right)}^{5/2}}{8}","Not used",1,"1331/(8*(1 - 2*x)^(1/2)) + (1815*(1 - 2*x)^(1/2))/8 - (275*(1 - 2*x)^(3/2))/8 + (25*(1 - 2*x)^(5/2))/8","B"
2099,1,48,67,0.062292,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(3/2)*(3*x + 2)),x)","\frac{1331}{28\,\sqrt{1-2\,x}}+\frac{400\,\sqrt{1-2\,x}}{9}-\frac{125\,{\left(1-2\,x\right)}^{3/2}}{36}-\frac{\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{7}\right)\,2{}\mathrm{i}}{1323}","Not used",1,"1331/(28*(1 - 2*x)^(1/2)) - (21^(1/2)*atan((21^(1/2)*(1 - 2*x)^(1/2)*1i)/7)*2i)/1323 + (400*(1 - 2*x)^(1/2))/9 - (125*(1 - 2*x)^(3/2))/36","B"
2100,1,55,80,0.057818,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(3/2)*(3*x + 2)^2),x)","\frac{\frac{35933\,x}{1323}+\frac{23960}{1323}}{\frac{7\,\sqrt{1-2\,x}}{3}-{\left(1-2\,x\right)}^{3/2}}-\frac{68\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3087}+\frac{125\,\sqrt{1-2\,x}}{18}","Not used",1,"((35933*x)/1323 + 23960/1323)/((7*(1 - 2*x)^(1/2))/3 - (1 - 2*x)^(3/2)) - (68*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3087 + (125*(1 - 2*x)^(1/2))/18","B"
2101,1,62,80,0.067015,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(3/2)*(3*x + 2)^3),x)","\frac{2245\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}+\frac{\frac{48050\,x}{1323}+\frac{36140\,{\left(2\,x-1\right)}^2}{9261}+\frac{3926}{1323}}{\frac{49\,\sqrt{1-2\,x}}{9}-\frac{14\,{\left(1-2\,x\right)}^{3/2}}{3}+{\left(1-2\,x\right)}^{5/2}}","Not used",1,"(2245*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609 + ((48050*x)/1323 + (36140*(2*x - 1)^2)/9261 + 3926/1323)/((49*(1 - 2*x)^(1/2))/9 - (14*(1 - 2*x)^(3/2))/3 + (1 - 2*x)^(5/2))","B"
2102,1,82,100,1.239405,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(3/2)*(3*x + 2)^4),x)","\frac{\frac{59768\,x}{1701}+\frac{86810\,{\left(2\,x-1\right)}^2}{11907}+\frac{9320\,{\left(2\,x-1\right)}^3}{9261}-\frac{5926}{1701}}{\frac{343\,\sqrt{1-2\,x}}{27}-\frac{49\,{\left(1-2\,x\right)}^{3/2}}{3}+7\,{\left(1-2\,x\right)}^{5/2}-{\left(1-2\,x\right)}^{7/2}}-\frac{9320\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{64827}","Not used",1,"((59768*x)/1701 + (86810*(2*x - 1)^2)/11907 + (9320*(2*x - 1)^3)/9261 - 5926/1701)/((343*(1 - 2*x)^(1/2))/27 - (49*(1 - 2*x)^(3/2))/3 + 7*(1 - 2*x)^(5/2) - (1 - 2*x)^(7/2)) - (9320*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/64827","B"
2103,1,98,120,1.254895,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(3/2)*(3*x + 2)^5),x)","\frac{\frac{840841\,x}{23814}+\frac{591701\,{\left(2\,x-1\right)}^2}{47628}+\frac{431035\,{\left(2\,x-1\right)}^3}{111132}+\frac{39185\,{\left(2\,x-1\right)}^4}{86436}-\frac{393625}{47628}}{\frac{2401\,\sqrt{1-2\,x}}{81}-\frac{1372\,{\left(1-2\,x\right)}^{3/2}}{27}+\frac{98\,{\left(1-2\,x\right)}^{5/2}}{3}-\frac{28\,{\left(1-2\,x\right)}^{7/2}}{3}+{\left(1-2\,x\right)}^{9/2}}-\frac{39185\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{605052}","Not used",1,"((840841*x)/23814 + (591701*(2*x - 1)^2)/47628 + (431035*(2*x - 1)^3)/111132 + (39185*(2*x - 1)^4)/86436 - 393625/47628)/((2401*(1 - 2*x)^(1/2))/81 - (1372*(1 - 2*x)^(3/2))/27 + (98*(1 - 2*x)^(5/2))/3 - (28*(1 - 2*x)^(7/2))/3 + (1 - 2*x)^(9/2)) - (39185*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/605052","B"
2104,1,75,106,0.055386,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{117649}{352\,\sqrt{1-2\,x}}+\frac{70752609\,\sqrt{1-2\,x}}{100000}-\frac{1997451\,{\left(1-2\,x\right)}^{3/2}}{10000}+\frac{507627\,{\left(1-2\,x\right)}^{5/2}}{10000}-\frac{43011\,{\left(1-2\,x\right)}^{7/2}}{5600}+\frac{81\,{\left(1-2\,x\right)}^{9/2}}{160}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{1890625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/1890625 + 117649/(352*(1 - 2*x)^(1/2)) + (70752609*(1 - 2*x)^(1/2))/100000 - (1997451*(1 - 2*x)^(3/2))/10000 + (507627*(1 - 2*x)^(5/2))/10000 - (43011*(1 - 2*x)^(7/2))/5600 + (81*(1 - 2*x)^(9/2))/160","B"
2105,1,66,93,1.221192,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{16807}{176\,\sqrt{1-2\,x}}+\frac{806121\,\sqrt{1-2\,x}}{5000}-\frac{17019\,{\left(1-2\,x\right)}^{3/2}}{500}+\frac{5751\,{\left(1-2\,x\right)}^{5/2}}{1000}-\frac{243\,{\left(1-2\,x\right)}^{7/2}}{560}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{378125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/378125 + 16807/(176*(1 - 2*x)^(1/2)) + (806121*(1 - 2*x)^(1/2))/5000 - (17019*(1 - 2*x)^(3/2))/500 + (5751*(1 - 2*x)^(5/2))/1000 - (243*(1 - 2*x)^(7/2))/560","B"
2106,1,57,80,0.050437,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{2401}{88\,\sqrt{1-2\,x}}+\frac{34371\,\sqrt{1-2\,x}}{1000}-\frac{963\,{\left(1-2\,x\right)}^{3/2}}{200}+\frac{81\,{\left(1-2\,x\right)}^{5/2}}{200}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{75625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/75625 + 2401/(88*(1 - 2*x)^(1/2)) + (34371*(1 - 2*x)^(1/2))/1000 - (963*(1 - 2*x)^(3/2))/200 + (81*(1 - 2*x)^(5/2))/200","B"
2107,1,48,67,0.062516,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{343}{44\,\sqrt{1-2\,x}}+\frac{162\,\sqrt{1-2\,x}}{25}-\frac{9\,{\left(1-2\,x\right)}^{3/2}}{20}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{15125}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/15125 + 343/(44*(1 - 2*x)^(1/2)) + (162*(1 - 2*x)^(1/2))/25 - (9*(1 - 2*x)^(3/2))/20","B"
2108,1,37,54,1.229997,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{49}{22\,\sqrt{1-2\,x}}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{3025}+\frac{9\,\sqrt{1-2\,x}}{10}","Not used",1,"49/(22*(1 - 2*x)^(1/2)) - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/3025 + (9*(1 - 2*x)^(1/2))/10","B"
2109,1,28,41,0.045689,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{7}{11\,\sqrt{1-2\,x}}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{605}","Not used",1,"7/(11*(1 - 2*x)^(1/2)) - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/605","B"
2110,1,28,43,0.062078,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(5*x + 3)),x)","\frac{2}{11\,\sqrt{1-2\,x}}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}","Not used",1,"2/(11*(1 - 2*x)^(1/2)) - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121","B"
2111,1,46,72,0.100467,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)),x)","\frac{6\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{10\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}+\frac{4}{77\,\sqrt{1-2\,x}}","Not used",1,"(6*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - (10*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 + 4/(77*(1 - 2*x)^(1/2))","B"
2112,1,65,92,1.276071,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)),x)","\frac{228\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{116\,x}{539}-\frac{230}{1617}}{\frac{7\,\sqrt{1-2\,x}}{3}-{\left(1-2\,x\right)}^{3/2}}-\frac{50\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}","Not used",1,"(228*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((116*x)/539 - 230/1617)/((7*(1 - 2*x)^(1/2))/3 - (1 - 2*x)^(3/2)) - (50*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121","B"
2113,1,81,112,0.101280,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)),x)","\frac{8025\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}-\frac{\frac{5150\,x}{1617}+\frac{2525\,{\left(2\,x-1\right)}^2}{3773}-\frac{7837}{4851}}{\frac{49\,\sqrt{1-2\,x}}{9}-\frac{14\,{\left(1-2\,x\right)}^{3/2}}{3}+{\left(1-2\,x\right)}^{5/2}}","Not used",1,"(8025*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121 - ((5150*x)/1617 + (2525*(2*x - 1)^2)/3773 - 7837/4851)/((49*(1 - 2*x)^(1/2))/9 - (14*(1 - 2*x)^(3/2))/3 + (1 - 2*x)^(5/2))","B"
2114,1,101,132,1.279434,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)),x)","\frac{40140\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{\frac{2924\,x}{77}+\frac{25940\,{\left(2\,x-1\right)}^2}{1617}+\frac{12790\,{\left(2\,x-1\right)}^3}{3773}-\frac{39506}{2079}}{\frac{343\,\sqrt{1-2\,x}}{27}-\frac{49\,{\left(1-2\,x\right)}^{3/2}}{3}+7\,{\left(1-2\,x\right)}^{5/2}-{\left(1-2\,x\right)}^{7/2}}-\frac{1250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{121}","Not used",1,"(40140*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - ((2924*x)/77 + (25940*(2*x - 1)^2)/1617 + (12790*(2*x - 1)^3)/3773 - 39506/2079)/((343*(1 - 2*x)^(1/2))/27 - (49*(1 - 2*x)^(3/2))/3 + 7*(1 - 2*x)^(5/2) - (1 - 2*x)^(7/2)) - (1250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/121","B"
2115,1,84,140,0.057876,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{315684\,\sqrt{1-2\,x}}{3125}-\frac{105057\,{\left(1-2\,x\right)}^{3/2}}{5000}+\frac{2187\,{\left(1-2\,x\right)}^{5/2}}{625}-\frac{729\,{\left(1-2\,x\right)}^{7/2}}{2800}+\frac{\frac{1838265657\,x}{15125000}+\frac{1102959359}{15125000}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,402{}\mathrm{i}}{20796875}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*402i)/20796875 + (315684*(1 - 2*x)^(1/2))/3125 - (105057*(1 - 2*x)^(3/2))/5000 + (2187*(1 - 2*x)^(5/2))/625 - (729*(1 - 2*x)^(7/2))/2800 + ((1838265657*x)/15125000 + 1102959359/15125000)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2))","B"
2116,1,75,120,1.212091,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{\frac{52521891\,x}{1512500}+\frac{31513117}{1512500}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}+\frac{107109\,\sqrt{1-2\,x}}{5000}-\frac{2943\,{\left(1-2\,x\right)}^{3/2}}{1000}+\frac{243\,{\left(1-2\,x\right)}^{5/2}}{1000}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,336{}\mathrm{i}}{4159375}","Not used",1,"((52521891*x)/1512500 + 31513117/1512500)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*336i)/4159375 + (107109*(1 - 2*x)^(1/2))/5000 - (2943*(1 - 2*x)^(3/2))/1000 + (243*(1 - 2*x)^(5/2))/1000","B"
2117,1,66,100,0.068573,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{\frac{1500633\,x}{151250}+\frac{900371}{151250}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}+\frac{999\,\sqrt{1-2\,x}}{250}-\frac{27\,{\left(1-2\,x\right)}^{3/2}}{100}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,54{}\mathrm{i}}{166375}","Not used",1,"((1500633*x)/151250 + 900371/151250)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*54i)/166375 + (999*(1 - 2*x)^(1/2))/250 - (27*(1 - 2*x)^(3/2))/100","B"
2118,1,55,80,1.220835,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{\frac{42879\,x}{15125}+\frac{25723}{15125}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}-\frac{204\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{166375}+\frac{27\,\sqrt{1-2\,x}}{50}","Not used",1,"((42879*x)/15125 + 25723/15125)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) - (204*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/166375 + (27*(1 - 2*x)^(1/2))/50","B"
2119,1,46,68,0.066224,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{\frac{2454\,x}{3025}+\frac{1468}{3025}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}-\frac{138\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{33275}","Not used",1,"((2454*x)/3025 + 1468/3025)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) - (138*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/33275","B"
2120,1,46,61,0.061628,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{\frac{144\,x}{605}+\frac{82}{605}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}-\frac{72\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{6655}","Not used",1,"((144*x)/605 + 82/605)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) - (72*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/6655","B"
2121,1,46,63,1.224929,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(5*x + 3)^2),x)","\frac{\frac{12\,x}{121}+\frac{14}{605}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}-\frac{6\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"((12*x)/121 + 14/605)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) - (6*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2122,1,64,92,0.099431,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^2),x)","\frac{\frac{156\,x}{847}-\frac{302}{4235}}{\frac{11\,\sqrt{1-2\,x}}{5}-{\left(1-2\,x\right)}^{3/2}}-\frac{18\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}+\frac{300\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"((156*x)/847 - 302/4235)/((11*(1 - 2*x)^(1/2))/5 - (1 - 2*x)^(3/2)) - (18*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 + (300*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2123,1,80,119,1.273971,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^2),x)","\frac{3150\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}-\frac{1314\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}+\frac{\frac{105808\,x}{29645}+\frac{4644\,{\left(2\,x-1\right)}^2}{5929}-\frac{31496}{17787}}{\frac{77\,\sqrt{1-2\,x}}{15}-\frac{68\,{\left(1-2\,x\right)}^{3/2}}{15}+{\left(1-2\,x\right)}^{5/2}}","Not used",1,"(3150*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331 - (1314*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 + ((105808*x)/29645 + (4644*(2*x - 1)^2)/5929 - 31496/17787)/((77*(1 - 2*x)^(1/2))/15 - (68*(1 - 2*x)^(3/2))/15 + (1 - 2*x)^(5/2))","B"
2124,1,100,146,0.106120,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^2),x)","\frac{\frac{1114546\,x}{17787}+\frac{1131178\,{\left(2\,x-1\right)}^2}{41503}+\frac{245865\,{\left(2\,x-1\right)}^3}{41503}-\frac{8356631}{266805}}{\frac{539\,\sqrt{1-2\,x}}{45}-\frac{707\,{\left(1-2\,x\right)}^{3/2}}{45}+\frac{103\,{\left(1-2\,x\right)}^{5/2}}{15}-{\left(1-2\,x\right)}^{7/2}}-\frac{70065\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}+\frac{24000\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"((1114546*x)/17787 + (1131178*(2*x - 1)^2)/41503 + (245865*(2*x - 1)^3)/41503 - 8356631/266805)/((539*(1 - 2*x)^(1/2))/45 - (707*(1 - 2*x)^(3/2))/45 + (103*(1 - 2*x)^(5/2))/15 - (1 - 2*x)^(7/2)) - (70065*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 + (24000*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2125,1,91,147,1.224188,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{\frac{367653449\,x}{3781250}+\frac{1838268849\,{\left(2\,x-1\right)}^2}{166375000}+\frac{73529977}{15125000}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}+\frac{333639\,\sqrt{1-2\,x}}{25000}-\frac{8991\,{\left(1-2\,x\right)}^{3/2}}{5000}+\frac{729\,{\left(1-2\,x\right)}^{5/2}}{5000}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,33873{}\mathrm{i}}{228765625}","Not used",1,"((367653449*x)/3781250 + (1838268849*(2*x - 1)^2)/166375000 + 73529977/15125000)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2)) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*33873i)/228765625 + (333639*(1 - 2*x)^(1/2))/25000 - (8991*(1 - 2*x)^(3/2))/5000 + (729*(1 - 2*x)^(5/2))/5000","B"
2126,1,82,127,0.069489,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{1539\,\sqrt{1-2\,x}}{625}-\frac{81\,{\left(1-2\,x\right)}^{3/2}}{500}+\frac{\frac{52522553\,x}{1890625}+\frac{52523223\,{\left(2\,x-1\right)}^2}{16637500}+\frac{10503019}{7562500}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,4557{}\mathrm{i}}{9150625}","Not used",1,"(55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*4557i)/9150625 + (1539*(1 - 2*x)^(1/2))/625 - (81*(1 - 2*x)^(3/2))/500 + ((52522553*x)/1890625 + (52523223*(2*x - 1)^2)/16637500 + 10503019/7562500)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2))","B"
2127,1,71,107,0.061045,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{81\,\sqrt{1-2\,x}}{250}-\frac{111\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{73205}+\frac{\frac{3001796\,x}{378125}+\frac{1501167\,{\left(2\,x-1\right)}^2}{1663750}+\frac{299579}{756250}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}","Not used",1,"(81*(1 - 2*x)^(1/2))/250 - (111*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/73205 + ((3001796*x)/378125 + (1501167*(2*x - 1)^2)/1663750 + 299579/756250)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2))","B"
2128,1,62,80,1.203825,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{\frac{171914\,x}{75625}+\frac{8616\,{\left(2\,x-1\right)}^2}{33275}+\frac{8368}{75625}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}-\frac{7143\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1830125}","Not used",1,"((171914*x)/75625 + (8616*(2*x - 1)^2)/33275 + 8368/75625)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2)) - (7143*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1830125","B"
2129,1,62,88,0.065486,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{\frac{10082\,x}{15125}+\frac{2589\,{\left(2\,x-1\right)}^2}{33275}+\frac{349}{15125}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}-\frac{2589\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{366025}","Not used",1,"((10082*x)/15125 + (2589*(2*x - 1)^2)/33275 + 349/15125)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2)) - (2589*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/366025","B"
2130,1,62,81,0.064353,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{\frac{142\,x}{605}+\frac{213\,{\left(2\,x-1\right)}^2}{6655}-\frac{47}{3025}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}-\frac{213\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{73205}","Not used",1,"((142*x)/605 + (213*(2*x - 1)^2)/6655 - 47/3025)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2)) - (213*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/73205","B"
2131,1,62,83,0.075358,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(5*x + 3)^3),x)","\frac{\frac{10\,x}{121}+\frac{15\,{\left(2\,x-1\right)}^2}{1331}-\frac{37}{3025}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}-\frac{15\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}","Not used",1,"((10*x)/121 + (15*(2*x - 1)^2)/1331 - 37/3025)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2)) - (15*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641","B"
2132,1,81,112,1.264561,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^3),x)","\frac{54\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{49}-\frac{9975\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}-\frac{\frac{3926\,x}{4235}+\frac{2049\,{\left(2\,x-1\right)}^2}{9317}-\frac{9991}{21175}}{\frac{121\,\sqrt{1-2\,x}}{25}-\frac{22\,{\left(1-2\,x\right)}^{3/2}}{5}+{\left(1-2\,x\right)}^{5/2}}","Not used",1,"(54*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/49 - (9975*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641 - ((3926*x)/4235 + (2049*(2*x - 1)^2)/9317 - 9991/21175)/((121*(1 - 2*x)^(1/2))/25 - (22*(1 - 2*x)^(3/2))/5 + (1 - 2*x)^(5/2))","B"
2133,1,101,139,0.109501,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^3),x)","\frac{5832\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{15284342\,x}{444675}+\frac{5024034\,{\left(2\,x-1\right)}^2}{326095}+\frac{224967\,{\left(2\,x-1\right)}^3}{65219}-\frac{1528927}{88935}}{\frac{847\,\sqrt{1-2\,x}}{75}-\frac{1133\,{\left(1-2\,x\right)}^{3/2}}{75}+\frac{101\,{\left(1-2\,x\right)}^{5/2}}{15}-{\left(1-2\,x\right)}^{7/2}}-\frac{153825\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}","Not used",1,"(5832*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((15284342*x)/444675 + (5024034*(2*x - 1)^2)/326095 + (224967*(2*x - 1)^3)/65219 - 1528927/88935)/((847*(1 - 2*x)^(1/2))/75 - (1133*(1 - 2*x)^(3/2))/75 + (101*(1 - 2*x)^(5/2))/15 - (1 - 2*x)^(7/2)) - (153825*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641","B"
2134,1,117,166,1.283103,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^3),x)","\frac{414315\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{1561125\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}-\frac{\frac{217330448\,x}{266805}+\frac{3694838654\,{\left(2\,x-1\right)}^2}{6847995}+\frac{108719216\,{\left(2\,x-1\right)}^3}{456533}+\frac{15987390\,{\left(2\,x-1\right)}^4}{456533}-\frac{543331048}{1334025}}{\frac{5929\,\sqrt{1-2\,x}}{225}-\frac{10472\,{\left(1-2\,x\right)}^{3/2}}{225}+\frac{6934\,{\left(1-2\,x\right)}^{5/2}}{225}-\frac{136\,{\left(1-2\,x\right)}^{7/2}}{15}+{\left(1-2\,x\right)}^{9/2}}","Not used",1,"(414315*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (1561125*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641 - ((217330448*x)/266805 + (3694838654*(2*x - 1)^2)/6847995 + (108719216*(2*x - 1)^3)/456533 + (15987390*(2*x - 1)^4)/456533 - 543331048/1334025)/((5929*(1 - 2*x)^(1/2))/225 - (10472*(1 - 2*x)^(3/2))/225 + (6934*(1 - 2*x)^(5/2))/225 - (136*(1 - 2*x)^(7/2))/15 + (1 - 2*x)^(9/2))","B"
2135,1,59,92,0.030240,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3))/(1 - 2*x)^(5/2),x)","\frac{\frac{60025\,x}{4}-\frac{1255723}{192}}{{\left(1-2\,x\right)}^{3/2}}-\frac{519645\,\sqrt{1-2\,x}}{64}+\frac{12495\,{\left(1-2\,x\right)}^{3/2}}{8}-\frac{19467\,{\left(1-2\,x\right)}^{5/2}}{64}+\frac{1053\,{\left(1-2\,x\right)}^{7/2}}{28}-\frac{135\,{\left(1-2\,x\right)}^{9/2}}{64}","Not used",1,"((60025*x)/4 - 1255723/192)/(1 - 2*x)^(3/2) - (519645*(1 - 2*x)^(1/2))/64 + (12495*(1 - 2*x)^(3/2))/8 - (19467*(1 - 2*x)^(5/2))/64 + (1053*(1 - 2*x)^(7/2))/28 - (135*(1 - 2*x)^(9/2))/64","B"
2136,1,50,79,0.026911,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3))/(1 - 2*x)^(5/2),x)","\frac{\frac{57281\,x}{16}-\frac{18179}{12}}{{\left(1-2\,x\right)}^{3/2}}-\frac{24843\,\sqrt{1-2\,x}}{16}+\frac{3591\,{\left(1-2\,x\right)}^{3/2}}{16}-\frac{4671\,{\left(1-2\,x\right)}^{5/2}}{160}+\frac{405\,{\left(1-2\,x\right)}^{7/2}}{224}","Not used",1,"((57281*x)/16 - 18179/12)/(1 - 2*x)^(3/2) - (24843*(1 - 2*x)^(1/2))/16 + (3591*(1 - 2*x)^(3/2))/16 - (4671*(1 - 2*x)^(5/2))/160 + (405*(1 - 2*x)^(7/2))/224","B"
2137,1,41,66,0.040501,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3))/(1 - 2*x)^(5/2),x)","\frac{\frac{3283\,x}{4}-\frac{15925}{48}}{{\left(1-2\,x\right)}^{3/2}}-\frac{1071\,\sqrt{1-2\,x}}{4}+\frac{207\,{\left(1-2\,x\right)}^{3/2}}{8}-\frac{27\,{\left(1-2\,x\right)}^{5/2}}{16}","Not used",1,"((3283*x)/4 - 15925/48)/(1 - 2*x)^(3/2) - (1071*(1 - 2*x)^(1/2))/4 + (207*(1 - 2*x)^(3/2))/8 - (27*(1 - 2*x)^(5/2))/16","B"
2138,1,38,53,1.188092,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3))/(1 - 2*x)^(5/2),x)","\frac{927\,{\left(2\,x-1\right)}^2-4242\,x+45\,{\left(2\,x-1\right)}^3+1582}{\sqrt{1-2\,x}\,\left(48\,x-24\right)}","Not used",1,"(927*(2*x - 1)^2 - 4242*x + 45*(2*x - 1)^3 + 1582)/((1 - 2*x)^(1/2)*(48*x - 24))","B"
2139,1,29,38,1.217809,"\text{Not used}","int(((3*x + 2)*(5*x + 3))/(1 - 2*x)^(5/2),x)","\frac{45\,{\left(2\,x-1\right)}^2-408\,x+127}{\sqrt{1-2\,x}\,\left(24\,x-12\right)}","Not used",1,"(45*(2*x - 1)^2 - 408*x + 127)/((1 - 2*x)^(1/2)*(24*x - 12))","B"
2140,1,13,27,0.022579,"\text{Not used}","int((5*x + 3)/(1 - 2*x)^(5/2),x)","\frac{5\,x-\frac{2}{3}}{{\left(1-2\,x\right)}^{3/2}}","Not used",1,"(5*x - 2/3)/(1 - 2*x)^(3/2)","B"
2141,1,32,56,0.075518,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(5/2)*(3*x + 2)),x)","\frac{\frac{4\,x}{49}+\frac{71}{147}}{{\left(1-2\,x\right)}^{3/2}}+\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}","Not used",1,"((4*x)/49 + 71/147)/(1 - 2*x)^(3/2) + (2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343","B"
2142,1,56,76,1.214700,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(5/2)*(3*x + 2)^2),x)","-\frac{\frac{80\,x}{147}+\frac{60\,{\left(2\,x-1\right)}^2}{343}-\frac{274}{441}}{\frac{7\,{\left(1-2\,x\right)}^{3/2}}{3}-{\left(1-2\,x\right)}^{5/2}}-\frac{60\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}","Not used",1,"- ((80*x)/147 + (60*(2*x - 1)^2)/343 - 274/441)/((7*(1 - 2*x)^(3/2))/3 - (1 - 2*x)^(5/2)) - (60*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401","B"
2143,1,72,96,0.073607,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(5/2)*(3*x + 2)^3),x)","-\frac{45\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{\frac{16\,x}{21}+\frac{25\,{\left(2\,x-1\right)}^2}{49}+\frac{45\,{\left(2\,x-1\right)}^3}{343}-\frac{116}{189}}{\frac{49\,{\left(1-2\,x\right)}^{3/2}}{9}-\frac{14\,{\left(1-2\,x\right)}^{5/2}}{3}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"- (45*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - ((16*x)/21 + (25*(2*x - 1)^2)/49 + (45*(2*x - 1)^3)/343 - 116/189)/((49*(1 - 2*x)^(3/2))/9 - (14*(1 - 2*x)^(5/2))/3 + (1 - 2*x)^(7/2))","B"
2144,1,92,116,1.204787,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(5/2)*(3*x + 2)^4),x)","-\frac{\frac{1024\,x}{1323}+\frac{352\,{\left(2\,x-1\right)}^2}{441}+\frac{1280\,{\left(2\,x-1\right)}^3}{3087}+\frac{160\,{\left(2\,x-1\right)}^4}{2401}-\frac{2152}{3969}}{\frac{343\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{49\,{\left(1-2\,x\right)}^{5/2}}{3}+7\,{\left(1-2\,x\right)}^{7/2}-{\left(1-2\,x\right)}^{9/2}}-\frac{160\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{16807}","Not used",1,"- ((1024*x)/1323 + (352*(2*x - 1)^2)/441 + (1280*(2*x - 1)^3)/3087 + (160*(2*x - 1)^4)/2401 - 2152/3969)/((343*(1 - 2*x)^(3/2))/27 - (49*(1 - 2*x)^(5/2))/3 + 7*(1 - 2*x)^(7/2) - (1 - 2*x)^(9/2)) - (160*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/16807","B"
2145,1,108,136,1.230008,"\text{Not used}","int((5*x + 3)/((1 - 2*x)^(5/2)*(3*x + 2)^5),x)","-\frac{1935\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{470596}-\frac{\frac{2752\,x}{3969}+\frac{1333\,{\left(2\,x-1\right)}^2}{1372}+\frac{3139\,{\left(2\,x-1\right)}^3}{4116}+\frac{2365\,{\left(2\,x-1\right)}^4}{9604}+\frac{1935\,{\left(2\,x-1\right)}^5}{67228}-\frac{5360}{11907}}{\frac{2401\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{1372\,{\left(1-2\,x\right)}^{5/2}}{27}+\frac{98\,{\left(1-2\,x\right)}^{7/2}}{3}-\frac{28\,{\left(1-2\,x\right)}^{9/2}}{3}+{\left(1-2\,x\right)}^{11/2}}","Not used",1,"- (1935*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/470596 - ((2752*x)/3969 + (1333*(2*x - 1)^2)/1372 + (3139*(2*x - 1)^3)/4116 + (2365*(2*x - 1)^4)/9604 + (1935*(2*x - 1)^5)/67228 - 5360/11907)/((2401*(1 - 2*x)^(3/2))/81 - (1372*(1 - 2*x)^(5/2))/27 + (98*(1 - 2*x)^(7/2))/3 - (28*(1 - 2*x)^(9/2))/3 + (1 - 2*x)^(11/2))","B"
2146,1,68,105,0.032600,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^2)/(1 - 2*x)^(5/2),x)","\frac{\frac{6206585\,x}{64}-\frac{4146527}{96}}{{\left(1-2\,x\right)}^{3/2}}-\frac{8117095\,\sqrt{1-2\,x}}{128}+\frac{1965635\,{\left(1-2\,x\right)}^{3/2}}{128}-\frac{514017\,{\left(1-2\,x\right)}^{5/2}}{128}+\frac{672003\,{\left(1-2\,x\right)}^{7/2}}{896}-\frac{10845\,{\left(1-2\,x\right)}^{9/2}}{128}+\frac{6075\,{\left(1-2\,x\right)}^{11/2}}{1408}","Not used",1,"((6206585*x)/64 - 4146527/96)/(1 - 2*x)^(3/2) - (8117095*(1 - 2*x)^(1/2))/128 + (1965635*(1 - 2*x)^(3/2))/128 - (514017*(1 - 2*x)^(5/2))/128 + (672003*(1 - 2*x)^(7/2))/896 - (10845*(1 - 2*x)^(9/2))/128 + (6075*(1 - 2*x)^(11/2))/1408","B"
2147,1,59,92,0.030516,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^2)/(1 - 2*x)^(5/2),x)","\frac{\frac{381073\,x}{16}-\frac{1995917}{192}}{{\left(1-2\,x\right)}^{3/2}}-\frac{832951\,\sqrt{1-2\,x}}{64}+\frac{40453\,{\left(1-2\,x\right)}^{3/2}}{16}-\frac{159111\,{\left(1-2\,x\right)}^{5/2}}{320}+\frac{13905\,{\left(1-2\,x\right)}^{7/2}}{224}-\frac{225\,{\left(1-2\,x\right)}^{9/2}}{64}","Not used",1,"((381073*x)/16 - 1995917/192)/(1 - 2*x)^(3/2) - (832951*(1 - 2*x)^(1/2))/64 + (40453*(1 - 2*x)^(3/2))/16 - (159111*(1 - 2*x)^(5/2))/320 + (13905*(1 - 2*x)^(7/2))/224 - (225*(1 - 2*x)^(9/2))/64","B"
2148,1,50,79,0.028021,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^2)/(1 - 2*x)^(5/2),x)","\frac{\frac{91091\,x}{16}-\frac{115885}{48}}{{\left(1-2\,x\right)}^{3/2}}-\frac{39977\,\sqrt{1-2\,x}}{16}+\frac{5847\,{\left(1-2\,x\right)}^{3/2}}{16}-\frac{1539\,{\left(1-2\,x\right)}^{5/2}}{32}+\frac{675\,{\left(1-2\,x\right)}^{7/2}}{224}","Not used",1,"((91091*x)/16 - 115885/48)/(1 - 2*x)^(3/2) - (39977*(1 - 2*x)^(1/2))/16 + (5847*(1 - 2*x)^(3/2))/16 - (1539*(1 - 2*x)^(5/2))/32 + (675*(1 - 2*x)^(7/2))/224","B"
2149,1,41,66,0.040047,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^2)/(1 - 2*x)^(5/2),x)","\frac{1309\,x-\frac{25487}{48}}{{\left(1-2\,x\right)}^{3/2}}-\frac{3467\,\sqrt{1-2\,x}}{8}+\frac{85\,{\left(1-2\,x\right)}^{3/2}}{2}-\frac{45\,{\left(1-2\,x\right)}^{5/2}}{16}","Not used",1,"(1309*x - 25487/48)/(1 - 2*x)^(3/2) - (3467*(1 - 2*x)^(1/2))/8 + (85*(1 - 2*x)^(3/2))/2 - (45*(1 - 2*x)^(5/2))/16","B"
2150,1,38,53,1.185697,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^2)/(1 - 2*x)^(5/2),x)","\frac{1515\,{\left(2\,x-1\right)}^2-6798\,x+75\,{\left(2\,x-1\right)}^3+2552}{\sqrt{1-2\,x}\,\left(48\,x-24\right)}","Not used",1,"(1515*(2*x - 1)^2 - 6798*x + 75*(2*x - 1)^3 + 2552)/((1 - 2*x)^(1/2)*(48*x - 24))","B"
2151,1,29,40,0.031788,"\text{Not used}","int((5*x + 3)^2/(1 - 2*x)^(5/2),x)","\frac{75\,{\left(2\,x-1\right)}^2-660\,x+209}{\sqrt{1-2\,x}\,\left(24\,x-12\right)}","Not used",1,"(75*(2*x - 1)^2 - 660*x + 209)/((1 - 2*x)^(1/2)*(24*x - 12))","B"
2152,1,32,54,1.202180,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(5/2)*(3*x + 2)),x)","\frac{\frac{407\,x}{49}-\frac{187}{147}}{{\left(1-2\,x\right)}^{3/2}}-\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1029}","Not used",1,"((407*x)/49 - 187/147)/(1 - 2*x)^(3/2) - (2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1029","B"
2153,1,55,81,0.063725,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(5/2)*(3*x + 2)^2),x)","\frac{\frac{110\,x}{49}+\frac{130\,{\left(2\,x-1\right)}^2}{1029}+\frac{352}{441}}{\frac{7\,{\left(1-2\,x\right)}^{3/2}}{3}-{\left(1-2\,x\right)}^{5/2}}+\frac{130\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7203}","Not used",1,"((110*x)/49 + (130*(2*x - 1)^2)/1029 + 352/441)/((7*(1 - 2*x)^(3/2))/3 - (1 - 2*x)^(5/2)) + (130*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7203","B"
2154,1,72,103,0.072662,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(5/2)*(3*x + 2)^3),x)","-\frac{85\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{\frac{44\,x}{63}+\frac{425\,{\left(2\,x-1\right)}^2}{441}+\frac{85\,{\left(2\,x-1\right)}^3}{343}-\frac{44}{27}}{\frac{49\,{\left(1-2\,x\right)}^{3/2}}{9}-\frac{14\,{\left(1-2\,x\right)}^{5/2}}{3}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"- (85*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - ((44*x)/63 + (425*(2*x - 1)^2)/441 + (85*(2*x - 1)^3)/343 - 44/27)/((49*(1 - 2*x)^(3/2))/9 - (14*(1 - 2*x)^(5/2))/3 + (1 - 2*x)^(7/2))","B"
2155,1,92,121,1.218387,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(5/2)*(3*x + 2)^4),x)","-\frac{\frac{2552\,x}{1323}+\frac{3113\,{\left(2\,x-1\right)}^2}{1323}+\frac{11320\,{\left(2\,x-1\right)}^3}{9261}+\frac{1415\,{\left(2\,x-1\right)}^4}{7203}-\frac{7216}{3969}}{\frac{343\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{49\,{\left(1-2\,x\right)}^{5/2}}{3}+7\,{\left(1-2\,x\right)}^{7/2}-{\left(1-2\,x\right)}^{9/2}}-\frac{1415\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{50421}","Not used",1,"- ((2552*x)/1323 + (3113*(2*x - 1)^2)/1323 + (11320*(2*x - 1)^3)/9261 + (1415*(2*x - 1)^4)/7203 - 7216/3969)/((343*(1 - 2*x)^(3/2))/27 - (49*(1 - 2*x)^(5/2))/3 + 7*(1 - 2*x)^(7/2) - (1 - 2*x)^(9/2)) - (1415*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/50421","B"
2156,1,108,141,1.199100,"\text{Not used}","int((5*x + 3)^2/((1 - 2*x)^(5/2)*(3*x + 2)^5),x)","-\frac{20465\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{1411788}-\frac{\frac{2992\,x}{1323}+\frac{126883\,{\left(2\,x-1\right)}^2}{37044}+\frac{298789\,{\left(2\,x-1\right)}^3}{111132}+\frac{225115\,{\left(2\,x-1\right)}^4}{259308}+\frac{20465\,{\left(2\,x-1\right)}^5}{201684}-\frac{20240}{11907}}{\frac{2401\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{1372\,{\left(1-2\,x\right)}^{5/2}}{27}+\frac{98\,{\left(1-2\,x\right)}^{7/2}}{3}-\frac{28\,{\left(1-2\,x\right)}^{9/2}}{3}+{\left(1-2\,x\right)}^{11/2}}","Not used",1,"- (20465*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/1411788 - ((2992*x)/1323 + (126883*(2*x - 1)^2)/37044 + (298789*(2*x - 1)^3)/111132 + (225115*(2*x - 1)^4)/259308 + (20465*(2*x - 1)^5)/201684 - 20240/11907)/((2401*(1 - 2*x)^(3/2))/81 - (1372*(1 - 2*x)^(5/2))/27 + (98*(1 - 2*x)^(7/2))/3 - (28*(1 - 2*x)^(9/2))/3 + (1 - 2*x)^(11/2))","B"
2157,1,77,118,0.034756,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^3)/(1 - 2*x)^(5/2),x)","\frac{\frac{39220335\,x}{64}-\frac{212951893}{768}}{{\left(1-2\,x\right)}^{3/2}}-\frac{60160485\,\sqrt{1-2\,x}}{128}+\frac{52725715\,{\left(1-2\,x\right)}^{3/2}}{384}-\frac{2887773\,{\left(1-2\,x\right)}^{5/2}}{64}+\frac{10121229\,{\left(1-2\,x\right)}^{7/2}}{896}-\frac{246315\,{\left(1-2\,x\right)}^{9/2}}{128}+\frac{277425\,{\left(1-2\,x\right)}^{11/2}}{1408}-\frac{30375\,{\left(1-2\,x\right)}^{13/2}}{3328}","Not used",1,"((39220335*x)/64 - 212951893/768)/(1 - 2*x)^(3/2) - (60160485*(1 - 2*x)^(1/2))/128 + (52725715*(1 - 2*x)^(3/2))/384 - (2887773*(1 - 2*x)^(5/2))/64 + (10121229*(1 - 2*x)^(7/2))/896 - (246315*(1 - 2*x)^(9/2))/128 + (277425*(1 - 2*x)^(11/2))/1408 - (30375*(1 - 2*x)^(13/2))/3328","B"
2158,1,68,105,0.030428,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^3)/(1 - 2*x)^(5/2),x)","\frac{\frac{9836211\,x}{64}-\frac{13156451}{192}}{{\left(1-2\,x\right)}^{3/2}}-\frac{12973191\,\sqrt{1-2\,x}}{128}+\frac{9504551\,{\left(1-2\,x\right)}^{3/2}}{384}-\frac{4177401\,{\left(1-2\,x\right)}^{5/2}}{640}+\frac{1101465\,{\left(1-2\,x\right)}^{7/2}}{896}-\frac{17925\,{\left(1-2\,x\right)}^{9/2}}{128}+\frac{10125\,{\left(1-2\,x\right)}^{11/2}}{1408}","Not used",1,"((9836211*x)/64 - 13156451/192)/(1 - 2*x)^(3/2) - (12973191*(1 - 2*x)^(1/2))/128 + (9504551*(1 - 2*x)^(3/2))/384 - (4177401*(1 - 2*x)^(5/2))/640 + (1101465*(1 - 2*x)^(7/2))/896 - (17925*(1 - 2*x)^(9/2))/128 + (10125*(1 - 2*x)^(11/2))/1408","B"
2159,1,59,92,0.028624,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^3)/(1 - 2*x)^(5/2),x)","\frac{\frac{302379\,x}{8}-\frac{3172015}{192}}{{\left(1-2\,x\right)}^{3/2}}-\frac{1334949\,\sqrt{1-2\,x}}{64}+\frac{98209\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{52011\,{\left(1-2\,x\right)}^{5/2}}{64}+\frac{11475\,{\left(1-2\,x\right)}^{7/2}}{112}-\frac{375\,{\left(1-2\,x\right)}^{9/2}}{64}","Not used",1,"((302379*x)/8 - 3172015/192)/(1 - 2*x)^(3/2) - (1334949*(1 - 2*x)^(1/2))/64 + (98209*(1 - 2*x)^(3/2))/24 - (52011*(1 - 2*x)^(5/2))/64 + (11475*(1 - 2*x)^(7/2))/112 - (375*(1 - 2*x)^(9/2))/64","B"
2160,1,50,79,0.026341,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^3)/(1 - 2*x)^(5/2),x)","\frac{\frac{144837\,x}{16}-\frac{92323}{24}}{{\left(1-2\,x\right)}^{3/2}}-\frac{64317\,\sqrt{1-2\,x}}{16}+\frac{28555\,{\left(1-2\,x\right)}^{3/2}}{48}-\frac{2535\,{\left(1-2\,x\right)}^{5/2}}{32}+\frac{1125\,{\left(1-2\,x\right)}^{7/2}}{224}","Not used",1,"((144837*x)/16 - 92323/24)/(1 - 2*x)^(3/2) - (64317*(1 - 2*x)^(1/2))/16 + (28555*(1 - 2*x)^(3/2))/48 - (2535*(1 - 2*x)^(5/2))/32 + (1125*(1 - 2*x)^(7/2))/224","B"
2161,1,41,66,0.039825,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^3)/(1 - 2*x)^(5/2),x)","\frac{\frac{8349\,x}{4}-\frac{40777}{48}}{{\left(1-2\,x\right)}^{3/2}}-\frac{2805\,\sqrt{1-2\,x}}{4}+\frac{1675\,{\left(1-2\,x\right)}^{3/2}}{24}-\frac{75\,{\left(1-2\,x\right)}^{5/2}}{16}","Not used",1,"((8349*x)/4 - 40777/48)/(1 - 2*x)^(3/2) - (2805*(1 - 2*x)^(1/2))/4 + (1675*(1 - 2*x)^(3/2))/24 - (75*(1 - 2*x)^(5/2))/16","B"
2162,1,38,53,0.031739,"\text{Not used}","int((5*x + 3)^3/(1 - 2*x)^(5/2),x)","\frac{2475\,{\left(2\,x-1\right)}^2-10890\,x+125\,{\left(2\,x-1\right)}^3+4114}{\sqrt{1-2\,x}\,\left(48\,x-24\right)}","Not used",1,"(2475*(2*x - 1)^2 - 10890*x + 125*(2*x - 1)^3 + 4114)/((1 - 2*x)^(1/2)*(48*x - 24))","B"
2163,1,41,67,0.059119,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(5/2)*(3*x + 2)),x)","\frac{\frac{4356\,x}{49}-\frac{16819}{588}}{{\left(1-2\,x\right)}^{3/2}}+\frac{2\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{3087}-\frac{125\,\sqrt{1-2\,x}}{12}","Not used",1,"((4356*x)/49 - 16819/588)/(1 - 2*x)^(3/2) + (2*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/3087 - (125*(1 - 2*x)^(1/2))/12","B"
2164,1,55,80,0.063464,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(5/2)*(3*x + 2)^2),x)","\frac{\frac{6050\,x}{147}+\frac{42475\,{\left(2\,x-1\right)}^2}{6174}-\frac{8833}{882}}{\frac{7\,{\left(1-2\,x\right)}^{3/2}}{3}-{\left(1-2\,x\right)}^{5/2}}-\frac{200\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}","Not used",1,"((6050*x)/147 + (42475*(2*x - 1)^2)/6174 - 8833/882)/((7*(1 - 2*x)^(3/2))/3 - (1 - 2*x)^(5/2)) - (200*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609","B"
2165,1,71,100,0.043488,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(5/2)*(3*x + 2)^3),x)","\frac{905\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{21609}+\frac{\frac{968\,x}{63}+\frac{3550\,{\left(2\,x-1\right)}^2}{1323}+\frac{905\,{\left(2\,x-1\right)}^3}{3087}-\frac{121}{189}}{\frac{49\,{\left(1-2\,x\right)}^{3/2}}{9}-\frac{14\,{\left(1-2\,x\right)}^{5/2}}{3}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"(905*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/21609 + ((968*x)/63 + (3550*(2*x - 1)^2)/1323 + (905*(2*x - 1)^3)/3087 - 121/189)/((49*(1 - 2*x)^(3/2))/9 - (14*(1 - 2*x)^(5/2))/3 + (1 - 2*x)^(7/2))","B"
2166,1,92,120,0.068510,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(5/2)*(3*x + 2)^4),x)","-\frac{\frac{14072\,{\left(2\,x-1\right)}^2}{3969}-\frac{968\,x}{441}+\frac{60080\,{\left(2\,x-1\right)}^3}{27783}+\frac{7510\,{\left(2\,x-1\right)}^4}{21609}-\frac{14278}{3969}}{\frac{343\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{49\,{\left(1-2\,x\right)}^{5/2}}{3}+7\,{\left(1-2\,x\right)}^{7/2}-{\left(1-2\,x\right)}^{9/2}}-\frac{7510\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{151263}","Not used",1,"- ((14072*(2*x - 1)^2)/3969 - (968*x)/441 + (60080*(2*x - 1)^3)/27783 + (7510*(2*x - 1)^4)/21609 - 14278/3969)/((343*(1 - 2*x)^(3/2))/27 - (49*(1 - 2*x)^(5/2))/3 + 7*(1 - 2*x)^(7/2) - (1 - 2*x)^(9/2)) - (7510*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/151263","B"
2167,1,108,140,1.235040,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(5/2)*(3*x + 2)^5),x)","-\frac{177635\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{4235364}-\frac{\frac{15488\,x}{3969}+\frac{3206011\,{\left(2\,x-1\right)}^2}{333396}+\frac{2593471\,{\left(2\,x-1\right)}^3}{333396}+\frac{1953985\,{\left(2\,x-1\right)}^4}{777924}+\frac{177635\,{\left(2\,x-1\right)}^5}{605052}-\frac{60500}{11907}}{\frac{2401\,{\left(1-2\,x\right)}^{3/2}}{81}-\frac{1372\,{\left(1-2\,x\right)}^{5/2}}{27}+\frac{98\,{\left(1-2\,x\right)}^{7/2}}{3}-\frac{28\,{\left(1-2\,x\right)}^{9/2}}{3}+{\left(1-2\,x\right)}^{11/2}}","Not used",1,"- (177635*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/4235364 - ((15488*x)/3969 + (3206011*(2*x - 1)^2)/333396 + (2593471*(2*x - 1)^3)/333396 + (1953985*(2*x - 1)^4)/777924 + (177635*(2*x - 1)^5)/605052 - 60500/11907)/((2401*(1 - 2*x)^(3/2))/81 - (1372*(1 - 2*x)^(5/2))/27 + (98*(1 - 2*x)^(7/2))/3 - (28*(1 - 2*x)^(9/2))/3 + (1 - 2*x)^(11/2))","B"
2168,1,128,160,1.201329,"\text{Not used}","int((5*x + 3)^3/((1 - 2*x)^(5/2)*(3*x + 2)^6),x)","-\frac{163474\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{7411887}-\frac{\frac{73568\,x}{11907}+\frac{3467498\,{\left(2\,x-1\right)}^2}{250047}+\frac{25828892\,{\left(2\,x-1\right)}^3}{1750329}+\frac{20924672\,{\left(2\,x-1\right)}^4}{2917215}+\frac{326948\,{\left(2\,x-1\right)}^5}{194481}+\frac{163474\,{\left(2\,x-1\right)}^6}{1058841}-\frac{184888}{35721}}{\frac{16807\,{\left(1-2\,x\right)}^{3/2}}{243}-\frac{12005\,{\left(1-2\,x\right)}^{5/2}}{81}+\frac{3430\,{\left(1-2\,x\right)}^{7/2}}{27}-\frac{490\,{\left(1-2\,x\right)}^{9/2}}{9}+\frac{35\,{\left(1-2\,x\right)}^{11/2}}{3}-{\left(1-2\,x\right)}^{13/2}}","Not used",1,"- (163474*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/7411887 - ((73568*x)/11907 + (3467498*(2*x - 1)^2)/250047 + (25828892*(2*x - 1)^3)/1750329 + (20924672*(2*x - 1)^4)/2917215 + (326948*(2*x - 1)^5)/194481 + (163474*(2*x - 1)^6)/1058841 - 184888/35721)/((16807*(1 - 2*x)^(3/2))/243 - (12005*(1 - 2*x)^(5/2))/81 + (3430*(1 - 2*x)^(7/2))/27 - (490*(1 - 2*x)^(9/2))/9 + (35*(1 - 2*x)^(11/2))/3 - (1 - 2*x)^(13/2))","B"
2169,1,70,106,0.053375,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(5/2)*(5*x + 3)),x)","\frac{\frac{2739541\,x}{1936}-\frac{1731121}{2904}}{{\left(1-2\,x\right)}^{3/2}}-\frac{5992353\,\sqrt{1-2\,x}}{10000}+\frac{169209\,{\left(1-2\,x\right)}^{3/2}}{2000}-\frac{43011\,{\left(1-2\,x\right)}^{5/2}}{4000}+\frac{729\,{\left(1-2\,x\right)}^{7/2}}{1120}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{4159375}","Not used",1,"((2739541*x)/1936 - 1731121/2904)/(1 - 2*x)^(3/2) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/4159375 - (5992353*(1 - 2*x)^(1/2))/10000 + (169209*(1 - 2*x)^(3/2))/2000 - (43011*(1 - 2*x)^(5/2))/4000 + (729*(1 - 2*x)^(7/2))/1120","B"
2170,1,61,93,1.208224,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)),x)","\frac{\frac{156065\,x}{484}-\frac{751513}{5808}}{{\left(1-2\,x\right)}^{3/2}}-\frac{51057\,\sqrt{1-2\,x}}{500}+\frac{1917\,{\left(1-2\,x\right)}^{3/2}}{200}-\frac{243\,{\left(1-2\,x\right)}^{5/2}}{400}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{831875}","Not used",1,"((156065*x)/484 - 751513/5808)/(1 - 2*x)^(3/2) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/831875 - (51057*(1 - 2*x)^(1/2))/500 + (1917*(1 - 2*x)^(3/2))/200 - (243*(1 - 2*x)^(5/2))/400","B"
2171,1,52,80,0.065530,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)),x)","\frac{\frac{33271\,x}{484}-\frac{36701}{1452}}{{\left(1-2\,x\right)}^{3/2}}-\frac{2889\,\sqrt{1-2\,x}}{200}+\frac{27\,{\left(1-2\,x\right)}^{3/2}}{40}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,2{}\mathrm{i}}{166375}","Not used",1,"((33271*x)/484 - 36701/1452)/(1 - 2*x)^(3/2) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*2i)/166375 - (2889*(1 - 2*x)^(1/2))/200 + (27*(1 - 2*x)^(3/2))/40","B"
2172,1,41,67,1.195595,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)),x)","\frac{\frac{1568\,x}{121}-\frac{5635}{1452}}{{\left(1-2\,x\right)}^{3/2}}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{33275}-\frac{27\,\sqrt{1-2\,x}}{20}","Not used",1,"((1568*x)/121 - 5635/1452)/(1 - 2*x)^(3/2) - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/33275 - (27*(1 - 2*x)^(1/2))/20","B"
2173,1,32,54,1.187088,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)),x)","\frac{\frac{217\,x}{121}-\frac{56}{363}}{{\left(1-2\,x\right)}^{3/2}}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{6655}","Not used",1,"((217*x)/121 - 56/363)/(1 - 2*x)^(3/2) - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/6655","B"
2174,1,33,56,0.072895,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(5/2)*(5*x + 3)),x)","-\frac{\frac{4\,x}{121}-\frac{83}{363}}{{\left(1-2\,x\right)}^{3/2}}-\frac{2\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"- ((4*x)/121 - 83/363)/(1 - 2*x)^(3/2) - (2*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2175,1,33,56,0.066811,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(5*x + 3)),x)","-\frac{\frac{20\,x}{121}-\frac{52}{363}}{{\left(1-2\,x\right)}^{3/2}}-\frac{10\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"- ((20*x)/121 - 52/363)/(1 - 2*x)^(3/2) - (10*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2176,1,51,85,1.244601,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)),x)","\frac{18\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{544\,x}{5929}-\frac{1124}{17787}}{{\left(1-2\,x\right)}^{3/2}}-\frac{50\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"(18*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((544*x)/5929 - 1124/17787)/(1 - 2*x)^(3/2) - (50*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2177,1,73,105,0.099436,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)),x)","\frac{\frac{1370\,{\left(2\,x-1\right)}^2}{41503}-\frac{480\,x}{5929}+\frac{2776}{53361}}{\frac{7\,{\left(1-2\,x\right)}^{3/2}}{3}-{\left(1-2\,x\right)}^{5/2}}+\frac{720\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"((1370*(2*x - 1)^2)/41503 - (480*x)/5929 + 2776/53361)/((7*(1 - 2*x)^(3/2))/3 - (1 - 2*x)^(5/2)) + (720*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2178,1,89,125,0.098668,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)),x)","\frac{3645\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{1250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}+\frac{\frac{12325\,{\left(2\,x-1\right)}^2}{17787}-\frac{512\,x}{7623}+\frac{12295\,{\left(2\,x-1\right)}^3}{41503}+\frac{944}{22869}}{\frac{49\,{\left(1-2\,x\right)}^{3/2}}{9}-\frac{14\,{\left(1-2\,x\right)}^{5/2}}{3}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"(3645*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (1250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331 + ((12325*(2*x - 1)^2)/17787 - (512*x)/7623 + (12295*(2*x - 1)^3)/41503 + 944/22869)/((49*(1 - 2*x)^(3/2))/9 - (14*(1 - 2*x)^(5/2))/3 + (1 - 2*x)^(7/2))","B"
2179,1,109,145,1.226562,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^4*(5*x + 3)),x)","\frac{\frac{50928\,{\left(2\,x-1\right)}^2}{5929}-\frac{8576\,x}{160083}+\frac{905260\,{\left(2\,x-1\right)}^3}{124509}+\frac{446660\,{\left(2\,x-1\right)}^4}{290521}+\frac{15328}{480249}}{\frac{343\,{\left(1-2\,x\right)}^{3/2}}{27}-\frac{49\,{\left(1-2\,x\right)}^{5/2}}{3}+7\,{\left(1-2\,x\right)}^{7/2}-{\left(1-2\,x\right)}^{9/2}}+\frac{127710\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{16807}-\frac{6250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1331}","Not used",1,"((50928*(2*x - 1)^2)/5929 - (8576*x)/160083 + (905260*(2*x - 1)^3)/124509 + (446660*(2*x - 1)^4)/290521 + 15328/480249)/((343*(1 - 2*x)^(3/2))/27 - (49*(1 - 2*x)^(5/2))/3 + 7*(1 - 2*x)^(7/2) - (1 - 2*x)^(9/2)) + (127710*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/16807 - (6250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1331","B"
2180,1,84,140,0.057900,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","\frac{\frac{7042133\,x}{14520}+\frac{420174998\,{\left(2\,x-1\right)}^2}{4159375}-\frac{957999}{4840}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{315171\,\sqrt{1-2\,x}}{5000}+\frac{729\,{\left(1-2\,x\right)}^{3/2}}{125}-\frac{729\,{\left(1-2\,x\right)}^{5/2}}{2000}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,406{}\mathrm{i}}{45753125}","Not used",1,"((7042133*x)/14520 + (420174998*(2*x - 1)^2)/4159375 - 957999/4840)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*406i)/45753125 - (315171*(1 - 2*x)^(1/2))/5000 + (729*(1 - 2*x)^(3/2))/125 - (729*(1 - 2*x)^(5/2))/2000","B"
2181,1,75,120,1.189529,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","\frac{\frac{38416\,x}{363}+\frac{142559359\,{\left(2\,x-1\right)}^2}{6655000}-\frac{194481}{4840}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{8829\,\sqrt{1-2\,x}}{1000}+\frac{81\,{\left(1-2\,x\right)}^{3/2}}{200}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,68{}\mathrm{i}}{1830125}","Not used",1,"((38416*x)/363 + (142559359*(2*x - 1)^2)/6655000 - 194481/4840)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*68i)/1830125 - (8829*(1 - 2*x)^(1/2))/1000 + (81*(1 - 2*x)^(3/2))/200","B"
2182,1,64,100,0.060154,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","\frac{\frac{75803\,x}{3630}+\frac{1329121\,{\left(2\,x-1\right)}^2}{332750}-\frac{4116}{605}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{274\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{1830125}-\frac{81\,\sqrt{1-2\,x}}{100}","Not used",1,"((75803*x)/3630 + (1329121*(2*x - 1)^2)/332750 - 4116/605)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) - (274*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/1830125 - (81*(1 - 2*x)^(1/2))/100","B"
2183,1,55,80,1.201740,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","\frac{\frac{5978\,x}{1815}+\frac{35521\,{\left(2\,x-1\right)}^2}{66550}-\frac{147}{242}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{208\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{366025}","Not used",1,"((5978*x)/1815 + (35521*(2*x - 1)^2)/66550 - 147/242)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) - (208*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/366025","B"
2184,1,55,81,0.061886,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","\frac{\frac{322\,x}{1815}-\frac{142\,{\left(2\,x-1\right)}^2}{6655}+\frac{126}{605}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{142\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{73205}","Not used",1,"((322*x)/1815 - (142*(2*x - 1)^2)/6655 + 126/605)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) - (142*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/73205","B"
2185,1,56,76,1.204597,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","-\frac{\frac{304\,x}{1815}+\frac{76\,{\left(2\,x-1\right)}^2}{1331}-\frac{102}{605}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{76\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}","Not used",1,"- ((304*x)/1815 + (76*(2*x - 1)^2)/1331 - 102/605)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) - (76*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641","B"
2186,1,56,76,1.202118,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(5*x + 3)^2),x)","-\frac{\frac{40\,x}{363}+\frac{50\,{\left(2\,x-1\right)}^2}{1331}-\frac{48}{605}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}-\frac{50\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}","Not used",1,"- ((40*x)/363 + (50*(2*x - 1)^2)/1331 - 48/605)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2)) - (50*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641","B"
2187,1,74,105,0.098894,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^2),x)","\frac{1400\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}-\frac{54\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{4384\,x}{88935}+\frac{3274\,{\left(2\,x-1\right)}^2}{65219}-\frac{936}{29645}}{\frac{11\,{\left(1-2\,x\right)}^{3/2}}{5}-{\left(1-2\,x\right)}^{5/2}}","Not used",1,"(1400*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641 - (54*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((4384*x)/88935 + (3274*(2*x - 1)^2)/65219 - 936/29645)/((11*(1 - 2*x)^(3/2))/5 - (1 - 2*x)^(5/2))","B"
2188,1,90,132,1.272197,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^2),x)","\frac{15250\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}-\frac{4050\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{\frac{2176\,x}{53361}+\frac{367660\,{\left(2\,x-1\right)}^2}{456533}+\frac{159800\,{\left(2\,x-1\right)}^3}{456533}-\frac{2224}{88935}}{\frac{77\,{\left(1-2\,x\right)}^{3/2}}{15}-\frac{68\,{\left(1-2\,x\right)}^{5/2}}{15}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"(15250*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641 - (4050*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - ((2176*x)/53361 + (367660*(2*x - 1)^2)/456533 + (159800*(2*x - 1)^3)/456533 - 2224/88935)/((77*(1 - 2*x)^(3/2))/15 - (68*(1 - 2*x)^(5/2))/15 + (1 - 2*x)^(7/2))","B"
2189,1,110,159,1.260922,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^2),x)","\frac{117500\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{14641}-\frac{4455\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{\frac{3712\,x}{114345}+\frac{1171427\,{\left(2\,x-1\right)}^2}{83853}+\frac{2376118\,{\left(2\,x-1\right)}^3}{195657}+\frac{172105\,{\left(2\,x-1\right)}^4}{65219}-\frac{736}{38115}}{\frac{539\,{\left(1-2\,x\right)}^{3/2}}{45}-\frac{707\,{\left(1-2\,x\right)}^{5/2}}{45}+\frac{103\,{\left(1-2\,x\right)}^{7/2}}{15}-{\left(1-2\,x\right)}^{9/2}}","Not used",1,"(117500*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/14641 - (4455*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - ((3712*x)/114345 + (1171427*(2*x - 1)^2)/83853 + (2376118*(2*x - 1)^3)/195657 + (172105*(2*x - 1)^4)/65219 - 736/38115)/((539*(1 - 2*x)^(3/2))/45 - (707*(1 - 2*x)^(5/2))/45 + (103*(1 - 2*x)^(7/2))/15 - (1 - 2*x)^(9/2))","B"
2190,1,91,147,1.250041,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","\frac{\frac{5865643\,x}{36300}+\frac{31145462059\,{\left(2\,x-1\right)}^2}{499125000}+\frac{4884531119\,{\left(2\,x-1\right)}^3}{366025000}-\frac{571438}{9075}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}-\frac{26973\,\sqrt{1-2\,x}}{5000}+\frac{243\,{\left(1-2\,x\right)}^{3/2}}{1000}+\frac{\sqrt{55}\,\mathrm{atan}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}\,1{}\mathrm{i}}{11}\right)\,6937{}\mathrm{i}}{100656875}","Not used",1,"((5865643*x)/36300 + (31145462059*(2*x - 1)^2)/499125000 + (4884531119*(2*x - 1)^3)/366025000 - 571438/9075)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2)) + (55^(1/2)*atan((55^(1/2)*(1 - 2*x)^(1/2)*1i)/11)*6937i)/100656875 - (26973*(1 - 2*x)^(1/2))/5000 + (243*(1 - 2*x)^(3/2))/1000","B"
2191,1,80,127,0.062890,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","\frac{\frac{12005\,x}{363}+\frac{592742759\,{\left(2\,x-1\right)}^2}{49912500}+\frac{22509034\,{\left(2\,x-1\right)}^3}{9150625}-\frac{415373}{36300}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}-\frac{243\,\sqrt{1-2\,x}}{500}-\frac{4693\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{20131375}","Not used",1,"((12005*x)/363 + (592742759*(2*x - 1)^2)/49912500 + (22509034*(2*x - 1)^3)/9150625 - 415373/36300)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2)) - (243*(1 - 2*x)^(1/2))/500 - (4693*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/20131375","B"
2192,1,71,107,1.233568,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","\frac{\frac{51793\,x}{9075}+\frac{8444713\,{\left(2\,x-1\right)}^2}{4991250}+\frac{46283\,{\left(2\,x-1\right)}^3}{146410}-\frac{12691}{9075}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}-\frac{14423\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{20131375}","Not used",1,"((51793*x)/9075 + (8444713*(2*x - 1)^2)/4991250 + (46283*(2*x - 1)^3)/146410 - 12691/9075)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2)) - (14423*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/20131375","B"
2193,1,71,100,1.221293,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","\frac{\frac{5096\,x}{9075}-\frac{1858\,{\left(2\,x-1\right)}^2}{499125}-\frac{7559\,{\left(2\,x-1\right)}^3}{366025}+\frac{49}{363}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}-\frac{7559\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{4026275}","Not used",1,"((5096*x)/9075 - (1858*(2*x - 1)^2)/499125 - (7559*(2*x - 1)^3)/366025 + 49/363)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2)) - (7559*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/4026275","B"
2194,1,72,101,1.216608,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","-\frac{2873\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{805255}-\frac{\frac{1316\,x}{9075}+\frac{2873\,{\left(2\,x-1\right)}^2}{19965}+\frac{2873\,{\left(2\,x-1\right)}^3}{73205}-\frac{1736}{9075}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"- (2873*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/805255 - ((1316*x)/9075 + (2873*(2*x - 1)^2)/19965 + (2873*(2*x - 1)^3)/73205 - 1736/9075)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2))","B"
2195,1,72,96,0.076895,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","-\frac{365\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{161051}-\frac{\frac{1168\,x}{9075}+\frac{365\,{\left(2\,x-1\right)}^2}{3993}+\frac{365\,{\left(2\,x-1\right)}^3}{14641}-\frac{892}{9075}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"- (365*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/161051 - ((1168*x)/9075 + (365*(2*x - 1)^2)/3993 + (365*(2*x - 1)^3)/14641 - 892/9075)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2))","B"
2196,1,72,96,1.211946,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(5*x + 3)^3),x)","-\frac{175\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{161051}-\frac{\frac{112\,x}{1815}+\frac{175\,{\left(2\,x-1\right)}^2}{3993}+\frac{175\,{\left(2\,x-1\right)}^3}{14641}-\frac{368}{9075}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"- (175*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/161051 - ((112*x)/1815 + (175*(2*x - 1)^2)/3993 + (175*(2*x - 1)^3)/14641 - 368/9075)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2))","B"
2197,1,89,125,0.099049,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^3),x)","\frac{162\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{343}-\frac{47075\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{161051}+\frac{\frac{182087\,{\left(2\,x-1\right)}^2}{978285}-\frac{11008\,x}{444675}+\frac{65167\,{\left(2\,x-1\right)}^3}{717409}+\frac{6736}{444675}}{\frac{121\,{\left(1-2\,x\right)}^{3/2}}{25}-\frac{22\,{\left(1-2\,x\right)}^{5/2}}{5}+{\left(1-2\,x\right)}^{7/2}}","Not used",1,"(162*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/343 - (47075*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/161051 + ((182087*(2*x - 1)^2)/978285 - (11008*x)/444675 + (65167*(2*x - 1)^3)/717409 + 6736/444675)/((121*(1 - 2*x)^(3/2))/25 - (22*(1 - 2*x)^(5/2))/5 + (1 - 2*x)^(7/2))","B"
2198,1,109,152,1.240403,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^3),x)","\frac{\frac{153791551\,{\left(2\,x-1\right)}^2}{20543985}-\frac{5248\,x}{266805}+\frac{33729798\,{\left(2\,x-1\right)}^3}{5021863}+\frac{7554245\,{\left(2\,x-1\right)}^4}{5021863}+\frac{15584}{1334025}}{\frac{847\,{\left(1-2\,x\right)}^{3/2}}{75}-\frac{1133\,{\left(1-2\,x\right)}^{5/2}}{75}+\frac{101\,{\left(1-2\,x\right)}^{7/2}}{15}-{\left(1-2\,x\right)}^{9/2}}+\frac{17820\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{738625\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{161051}","Not used",1,"((153791551*(2*x - 1)^2)/20543985 - (5248*x)/266805 + (33729798*(2*x - 1)^3)/5021863 + (7554245*(2*x - 1)^4)/5021863 + 15584/1334025)/((847*(1 - 2*x)^(3/2))/75 - (1133*(1 - 2*x)^(5/2))/75 + (101*(1 - 2*x)^(7/2))/15 - (1 - 2*x)^(9/2)) + (17820*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (738625*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/161051","B"
2199,1,125,179,0.104820,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^3),x)","\frac{182655\,\sqrt{21}\,\mathrm{atanh}\left(\frac{\sqrt{21}\,\sqrt{1-2\,x}}{7}\right)}{2401}-\frac{7570625\,\sqrt{55}\,\mathrm{atanh}\left(\frac{\sqrt{55}\,\sqrt{1-2\,x}}{11}\right)}{161051}+\frac{\frac{1580752442\,{\left(2\,x-1\right)}^2}{8804565}-\frac{8704\,x}{571725}+\frac{53750814064\,{\left(2\,x-1\right)}^3}{225983835}+\frac{1581620086\,{\left(2\,x-1\right)}^4}{15065589}+\frac{77527480\,{\left(2\,x-1\right)}^5}{5021863}+\frac{5056}{571725}}{\frac{5929\,{\left(1-2\,x\right)}^{3/2}}{225}-\frac{10472\,{\left(1-2\,x\right)}^{5/2}}{225}+\frac{6934\,{\left(1-2\,x\right)}^{7/2}}{225}-\frac{136\,{\left(1-2\,x\right)}^{9/2}}{15}+{\left(1-2\,x\right)}^{11/2}}","Not used",1,"(182655*21^(1/2)*atanh((21^(1/2)*(1 - 2*x)^(1/2))/7))/2401 - (7570625*55^(1/2)*atanh((55^(1/2)*(1 - 2*x)^(1/2))/11))/161051 + ((1580752442*(2*x - 1)^2)/8804565 - (8704*x)/571725 + (53750814064*(2*x - 1)^3)/225983835 + (1581620086*(2*x - 1)^4)/15065589 + (77527480*(2*x - 1)^5)/5021863 + 5056/571725)/((5929*(1 - 2*x)^(3/2))/225 - (10472*(1 - 2*x)^(5/2))/225 + (6934*(1 - 2*x)^(7/2))/225 - (136*(1 - 2*x)^(9/2))/15 + (1 - 2*x)^(11/2))","B"
2200,0,-1,304,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(1/2)*(d + e*x)^(5/2),x)","\int \left(A+B\,x\right)\,\sqrt{a+b\,x}\,{\left(d+e\,x\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(1/2)*(d + e*x)^(5/2), x)","F"
2201,0,-1,250,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(1/2)*(d + e*x)^(3/2),x)","\int \left(A+B\,x\right)\,\sqrt{a+b\,x}\,{\left(d+e\,x\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(1/2)*(d + e*x)^(3/2), x)","F"
2202,1,1207,196,79.376787,"\text{Not used}","int((A + B*x)*(a + b*x)^(1/2)*(d + e*x)^(1/2),x)","A\,\left(\frac{x}{2}+\frac{a\,e+b\,d}{4\,b\,e}\right)\,\sqrt{a+b\,x}\,\sqrt{d+e\,x}-\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{B\,a^3\,b^3\,e^3}{4}-\frac{B\,a^2\,b^4\,d\,e^2}{4}-\frac{B\,a\,b^5\,d^2\,e}{4}+\frac{B\,b^6\,d^3}{4}\right)}{e^8\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{17\,B\,a^3\,b^2\,e^3}{12}+\frac{101\,B\,a^2\,b^3\,d\,e^2}{4}+\frac{101\,B\,a\,b^4\,d^2\,e}{4}+\frac{17\,B\,b^5\,d^3}{12}\right)}{e^7\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^3}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{19\,B\,a^3\,e^3}{2}+\frac{269\,B\,a^2\,b\,d\,e^2}{2}+\frac{269\,B\,a\,b^2\,d^2\,e}{2}+\frac{19\,B\,b^3\,d^3}{2}\right)}{e^5\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^7}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{19\,B\,a^3\,b\,e^3}{2}+\frac{269\,B\,a^2\,b^2\,d\,e^2}{2}+\frac{269\,B\,a\,b^3\,d^2\,e}{2}+\frac{19\,B\,b^4\,d^3}{2}\right)}{e^6\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}\,\left(\frac{B\,a^3\,e^3}{4}-\frac{B\,a^2\,b\,d\,e^2}{4}-\frac{B\,a\,b^2\,d^2\,e}{4}+\frac{B\,b^3\,d^3}{4}\right)}{b^2\,e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^{11}}-\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9\,\left(\frac{17\,B\,a^3\,e^3}{12}+\frac{101\,B\,a^2\,b\,d\,e^2}{4}+\frac{101\,B\,a\,b^2\,d^2\,e}{4}+\frac{17\,B\,b^3\,d^3}{12}\right)}{b\,e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^9}+\frac{\sqrt{a}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(32\,B\,a^2\,b^2\,e^2+96\,B\,a\,b^3\,d\,e+32\,B\,b^4\,d^2\right)}{e^6\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}+\frac{8\,B\,a^{3/2}\,d^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^{10}}+\frac{\sqrt{a}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(64\,B\,a^2\,b\,e^2+\frac{656\,B\,a\,b^2\,d\,e}{3}+64\,B\,b^3\,d^2\right)}{e^5\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^6}+\frac{\sqrt{a}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8\,\left(32\,B\,a^2\,e^2+96\,B\,a\,b\,d\,e+32\,B\,b^2\,d^2\right)}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^8}+\frac{8\,B\,a^{3/2}\,b^4\,d^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^6\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}{{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^{12}}+\frac{b^6}{e^6}-\frac{6\,b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^5\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}+\frac{15\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}-\frac{20\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^6}+\frac{15\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^8}-\frac{6\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^{10}}}-\frac{A\,\ln\left(a\,e+b\,d+2\,b\,e\,x+2\,\sqrt{b}\,\sqrt{e}\,\sqrt{a+b\,x}\,\sqrt{d+e\,x}\right)\,{\left(a\,e-b\,d\right)}^2}{8\,b^{3/2}\,e^{3/2}}+\frac{B\,\mathrm{atanh}\left(\frac{B\,\sqrt{e}\,\left(a\,e+b\,d\right)\,{\left(a\,e-b\,d\right)}^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)\,\left(B\,a^3\,e^3-B\,a^2\,b\,d\,e^2-B\,a\,b^2\,d^2\,e+B\,b^3\,d^3\right)}\right)\,\left(a\,e+b\,d\right)\,{\left(a\,e-b\,d\right)}^2}{4\,b^{5/2}\,e^{5/2}}","Not used",1,"A*(x/2 + (a*e + b*d)/(4*b*e))*(a + b*x)^(1/2)*(d + e*x)^(1/2) - ((((a + b*x)^(1/2) - a^(1/2))*((B*b^6*d^3)/4 + (B*a^3*b^3*e^3)/4 - (B*a^2*b^4*d*e^2)/4 - (B*a*b^5*d^2*e)/4))/(e^8*((d + e*x)^(1/2) - d^(1/2))) - (((a + b*x)^(1/2) - a^(1/2))^3*((17*B*b^5*d^3)/12 + (17*B*a^3*b^2*e^3)/12 + (101*B*a^2*b^3*d*e^2)/4 + (101*B*a*b^4*d^2*e)/4))/(e^7*((d + e*x)^(1/2) - d^(1/2))^3) - (((a + b*x)^(1/2) - a^(1/2))^7*((19*B*a^3*e^3)/2 + (19*B*b^3*d^3)/2 + (269*B*a*b^2*d^2*e)/2 + (269*B*a^2*b*d*e^2)/2))/(e^5*((d + e*x)^(1/2) - d^(1/2))^7) - (((a + b*x)^(1/2) - a^(1/2))^5*((19*B*b^4*d^3)/2 + (19*B*a^3*b*e^3)/2 + (269*B*a^2*b^2*d*e^2)/2 + (269*B*a*b^3*d^2*e)/2))/(e^6*((d + e*x)^(1/2) - d^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^11*((B*a^3*e^3)/4 + (B*b^3*d^3)/4 - (B*a*b^2*d^2*e)/4 - (B*a^2*b*d*e^2)/4))/(b^2*e^3*((d + e*x)^(1/2) - d^(1/2))^11) - (((a + b*x)^(1/2) - a^(1/2))^9*((17*B*a^3*e^3)/12 + (17*B*b^3*d^3)/12 + (101*B*a*b^2*d^2*e)/4 + (101*B*a^2*b*d*e^2)/4))/(b*e^4*((d + e*x)^(1/2) - d^(1/2))^9) + (a^(1/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^4*(32*B*b^4*d^2 + 32*B*a^2*b^2*e^2 + 96*B*a*b^3*d*e))/(e^6*((d + e*x)^(1/2) - d^(1/2))^4) + (8*B*a^(3/2)*d^(3/2)*((a + b*x)^(1/2) - a^(1/2))^10)/(e^2*((d + e*x)^(1/2) - d^(1/2))^10) + (a^(1/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6*(64*B*b^3*d^2 + 64*B*a^2*b*e^2 + (656*B*a*b^2*d*e)/3))/(e^5*((d + e*x)^(1/2) - d^(1/2))^6) + (a^(1/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^8*(32*B*a^2*e^2 + 32*B*b^2*d^2 + 96*B*a*b*d*e))/(e^4*((d + e*x)^(1/2) - d^(1/2))^8) + (8*B*a^(3/2)*b^4*d^(3/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(e^6*((d + e*x)^(1/2) - d^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^12/((d + e*x)^(1/2) - d^(1/2))^12 + b^6/e^6 - (6*b^5*((a + b*x)^(1/2) - a^(1/2))^2)/(e^5*((d + e*x)^(1/2) - d^(1/2))^2) + (15*b^4*((a + b*x)^(1/2) - a^(1/2))^4)/(e^4*((d + e*x)^(1/2) - d^(1/2))^4) - (20*b^3*((a + b*x)^(1/2) - a^(1/2))^6)/(e^3*((d + e*x)^(1/2) - d^(1/2))^6) + (15*b^2*((a + b*x)^(1/2) - a^(1/2))^8)/(e^2*((d + e*x)^(1/2) - d^(1/2))^8) - (6*b*((a + b*x)^(1/2) - a^(1/2))^10)/(e*((d + e*x)^(1/2) - d^(1/2))^10)) - (A*log(a*e + b*d + 2*b*e*x + 2*b^(1/2)*e^(1/2)*(a + b*x)^(1/2)*(d + e*x)^(1/2))*(a*e - b*d)^2)/(8*b^(3/2)*e^(3/2)) + (B*atanh((B*e^(1/2)*(a*e + b*d)*(a*e - b*d)^2*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((d + e*x)^(1/2) - d^(1/2))*(B*a^3*e^3 + B*b^3*d^3 - B*a*b^2*d^2*e - B*a^2*b*d*e^2)))*(a*e + b*d)*(a*e - b*d)^2)/(4*b^(5/2)*e^(5/2))","B"
2203,1,872,140,22.839701,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(1/2),x)","\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{B\,a^2\,b^2\,e^2}{2}+B\,a\,b^3\,d\,e-\frac{3\,B\,b^4\,d^2}{2}\right)}{e^6\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{7\,B\,a^2\,b\,e^2}{2}+23\,B\,a\,b^2\,d\,e+\frac{11\,B\,b^3\,d^2}{2}\right)}{e^5\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^3}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{7\,B\,a^2\,e^2}{2}+23\,B\,a\,b\,d\,e+\frac{11\,B\,b^2\,d^2}{2}\right)}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^5}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(\frac{B\,a^2\,e^2}{2}+B\,a\,b\,d\,e-\frac{3\,B\,b^2\,d^2}{2}\right)}{b\,e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^7}-\frac{\sqrt{a}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(32\,B\,d\,b^2+16\,B\,a\,e\,b\right)}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}-\frac{8\,B\,a^{3/2}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^6}-\frac{8\,B\,a^{3/2}\,b^2\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^8}+\frac{b^4}{e^4}-\frac{4\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}+\frac{6\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}-\frac{4\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^6}}+\frac{\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(2\,A\,d\,b^2+2\,A\,a\,e\,b\right)}{e^3\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}+\frac{\left(2\,A\,a\,e+2\,A\,b\,d\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^3}-\frac{8\,A\,\sqrt{a}\,b\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}+\frac{b^2}{e^2}-\frac{2\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}+\frac{2\,A\,\mathrm{atanh}\left(\frac{\sqrt{e}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}\right)\,\left(a\,e-b\,d\right)}{\sqrt{b}\,e^{3/2}}-\frac{B\,\mathrm{atanh}\left(\frac{\sqrt{e}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}\right)\,\left(a\,e-b\,d\right)\,\left(a\,e+3\,b\,d\right)}{2\,b^{3/2}\,e^{5/2}}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))*((B*a^2*b^2*e^2)/2 - (3*B*b^4*d^2)/2 + B*a*b^3*d*e))/(e^6*((d + e*x)^(1/2) - d^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^3*((11*B*b^3*d^2)/2 + (7*B*a^2*b*e^2)/2 + 23*B*a*b^2*d*e))/(e^5*((d + e*x)^(1/2) - d^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))^5*((7*B*a^2*e^2)/2 + (11*B*b^2*d^2)/2 + 23*B*a*b*d*e))/(e^4*((d + e*x)^(1/2) - d^(1/2))^5) + (((a + b*x)^(1/2) - a^(1/2))^7*((B*a^2*e^2)/2 - (3*B*b^2*d^2)/2 + B*a*b*d*e))/(b*e^3*((d + e*x)^(1/2) - d^(1/2))^7) - (a^(1/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^4*(32*B*b^2*d + 16*B*a*b*e))/(e^4*((d + e*x)^(1/2) - d^(1/2))^4) - (8*B*a^(3/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^6)/(e^2*((d + e*x)^(1/2) - d^(1/2))^6) - (8*B*a^(3/2)*b^2*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(e^4*((d + e*x)^(1/2) - d^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^8/((d + e*x)^(1/2) - d^(1/2))^8 + b^4/e^4 - (4*b^3*((a + b*x)^(1/2) - a^(1/2))^2)/(e^3*((d + e*x)^(1/2) - d^(1/2))^2) + (6*b^2*((a + b*x)^(1/2) - a^(1/2))^4)/(e^2*((d + e*x)^(1/2) - d^(1/2))^4) - (4*b*((a + b*x)^(1/2) - a^(1/2))^6)/(e*((d + e*x)^(1/2) - d^(1/2))^6)) + ((((a + b*x)^(1/2) - a^(1/2))*(2*A*b^2*d + 2*A*a*b*e))/(e^3*((d + e*x)^(1/2) - d^(1/2))) + ((2*A*a*e + 2*A*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(e^2*((d + e*x)^(1/2) - d^(1/2))^3) - (8*A*a^(1/2)*b*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(e^2*((d + e*x)^(1/2) - d^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^4/((d + e*x)^(1/2) - d^(1/2))^4 + b^2/e^2 - (2*b*((a + b*x)^(1/2) - a^(1/2))^2)/(e*((d + e*x)^(1/2) - d^(1/2))^2)) + (2*A*atanh((e^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((d + e*x)^(1/2) - d^(1/2))))*(a*e - b*d))/(b^(1/2)*e^(3/2)) - (B*atanh((e^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((d + e*x)^(1/2) - d^(1/2))))*(a*e - b*d)*(a*e + 3*b*d))/(2*b^(3/2)*e^(5/2))","B"
2204,0,-1,148,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{a+b\,x}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(3/2), x)","F"
2205,0,-1,111,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{a+b\,x}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(5/2), x)","F"
2206,1,179,95,1.900511,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(7/2),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x^2\,\sqrt{a+b\,x}\,\left(4\,A\,b^2\,e+6\,B\,b^2\,d-10\,B\,a\,b\,e\right)}{15\,e^3\,{\left(a\,e-b\,d\right)}^2}-\frac{\sqrt{a+b\,x}\,\left(6\,A\,a^2\,e+4\,B\,a^2\,d-10\,A\,a\,b\,d\right)}{15\,e^3\,{\left(a\,e-b\,d\right)}^2}+\frac{x\,\sqrt{a+b\,x}\,\left(10\,A\,b^2\,d-10\,B\,a^2\,e-2\,A\,a\,b\,e+2\,B\,a\,b\,d\right)}{15\,e^3\,{\left(a\,e-b\,d\right)}^2}\right)}{x^3+\frac{d^3}{e^3}+\frac{3\,d\,x^2}{e}+\frac{3\,d^2\,x}{e^2}}","Not used",1,"((d + e*x)^(1/2)*((x^2*(a + b*x)^(1/2)*(4*A*b^2*e + 6*B*b^2*d - 10*B*a*b*e))/(15*e^3*(a*e - b*d)^2) - ((a + b*x)^(1/2)*(6*A*a^2*e + 4*B*a^2*d - 10*A*a*b*d))/(15*e^3*(a*e - b*d)^2) + (x*(a + b*x)^(1/2)*(10*A*b^2*d - 10*B*a^2*e - 2*A*a*b*e + 2*B*a*b*d))/(15*e^3*(a*e - b*d)^2)))/(x^3 + d^3/e^3 + (3*d*x^2)/e + (3*d^2*x)/e^2)","B"
2207,1,295,147,2.103377,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(9/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(12\,B\,a^3\,d\,e+30\,A\,a^3\,e^2-28\,B\,a^2\,b\,d^2-84\,A\,a^2\,b\,d\,e+70\,A\,a\,b^2\,d^2\right)}{105\,e^4\,{\left(a\,e-b\,d\right)}^3}+\frac{x\,\sqrt{a+b\,x}\,\left(42\,B\,a^3\,e^2-104\,B\,a^2\,b\,d\,e+6\,A\,a^2\,b\,e^2+14\,B\,a\,b^2\,d^2-28\,A\,a\,b^2\,d\,e+70\,A\,b^3\,d^2\right)}{105\,e^4\,{\left(a\,e-b\,d\right)}^3}+\frac{4\,b^2\,x^3\,\sqrt{a+b\,x}\,\left(4\,A\,b\,e-7\,B\,a\,e+3\,B\,b\,d\right)}{105\,e^3\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,b\,x^2\,\left(a\,e-7\,b\,d\right)\,\sqrt{a+b\,x}\,\left(4\,A\,b\,e-7\,B\,a\,e+3\,B\,b\,d\right)}{105\,e^4\,{\left(a\,e-b\,d\right)}^3}\right)}{x^4+\frac{d^4}{e^4}+\frac{4\,d\,x^3}{e}+\frac{4\,d^3\,x}{e^3}+\frac{6\,d^2\,x^2}{e^2}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(30*A*a^3*e^2 + 12*B*a^3*d*e + 70*A*a*b^2*d^2 - 28*B*a^2*b*d^2 - 84*A*a^2*b*d*e))/(105*e^4*(a*e - b*d)^3) + (x*(a + b*x)^(1/2)*(70*A*b^3*d^2 + 42*B*a^3*e^2 + 6*A*a^2*b*e^2 + 14*B*a*b^2*d^2 - 28*A*a*b^2*d*e - 104*B*a^2*b*d*e))/(105*e^4*(a*e - b*d)^3) + (4*b^2*x^3*(a + b*x)^(1/2)*(4*A*b*e - 7*B*a*e + 3*B*b*d))/(105*e^3*(a*e - b*d)^3) - (2*b*x^2*(a*e - 7*b*d)*(a + b*x)^(1/2)*(4*A*b*e - 7*B*a*e + 3*B*b*d))/(105*e^4*(a*e - b*d)^3)))/(x^4 + d^4/e^4 + (4*d*x^3)/e + (4*d^3*x)/e^3 + (6*d^2*x^2)/e^2)","B"
2208,1,428,198,2.343901,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(11/2),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x\,\sqrt{a+b\,x}\,\left(-90\,B\,a^4\,e^3+334\,B\,a^3\,b\,d\,e^2-10\,A\,a^3\,b\,e^3-414\,B\,a^2\,b^2\,d^2\,e+54\,A\,a^2\,b^2\,d\,e^2+42\,B\,a\,b^3\,d^3-126\,A\,a\,b^3\,d^2\,e+210\,A\,b^4\,d^3\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^4}-\frac{\sqrt{a+b\,x}\,\left(20\,B\,a^4\,d\,e^2+70\,A\,a^4\,e^3-72\,B\,a^3\,b\,d^2\,e-270\,A\,a^3\,b\,d\,e^2+84\,B\,a^2\,b^2\,d^3+378\,A\,a^2\,b^2\,d^2\,e-210\,A\,a\,b^3\,d^3\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^4}+\frac{16\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)}{315\,e^3\,{\left(a\,e-b\,d\right)}^4}-\frac{8\,b^2\,x^3\,\left(a\,e-9\,b\,d\right)\,\sqrt{a+b\,x}\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)}{315\,e^4\,{\left(a\,e-b\,d\right)}^4}+\frac{2\,b\,x^2\,\sqrt{a+b\,x}\,\left(a^2\,e^2-6\,a\,b\,d\,e+21\,b^2\,d^2\right)\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)}{105\,e^5\,{\left(a\,e-b\,d\right)}^4}\right)}{x^5+\frac{d^5}{e^5}+\frac{5\,d\,x^4}{e}+\frac{5\,d^4\,x}{e^4}+\frac{10\,d^2\,x^3}{e^2}+\frac{10\,d^3\,x^2}{e^3}}","Not used",1,"((d + e*x)^(1/2)*((x*(a + b*x)^(1/2)*(210*A*b^4*d^3 - 90*B*a^4*e^3 - 10*A*a^3*b*e^3 + 42*B*a*b^3*d^3 + 54*A*a^2*b^2*d*e^2 - 414*B*a^2*b^2*d^2*e - 126*A*a*b^3*d^2*e + 334*B*a^3*b*d*e^2))/(315*e^5*(a*e - b*d)^4) - ((a + b*x)^(1/2)*(70*A*a^4*e^3 - 210*A*a*b^3*d^3 + 20*B*a^4*d*e^2 + 84*B*a^2*b^2*d^3 + 378*A*a^2*b^2*d^2*e - 270*A*a^3*b*d*e^2 - 72*B*a^3*b*d^2*e))/(315*e^5*(a*e - b*d)^4) + (16*b^3*x^4*(a + b*x)^(1/2)*(2*A*b*e - 3*B*a*e + B*b*d))/(315*e^3*(a*e - b*d)^4) - (8*b^2*x^3*(a*e - 9*b*d)*(a + b*x)^(1/2)*(2*A*b*e - 3*B*a*e + B*b*d))/(315*e^4*(a*e - b*d)^4) + (2*b*x^2*(a + b*x)^(1/2)*(a^2*e^2 + 21*b^2*d^2 - 6*a*b*d*e)*(2*A*b*e - 3*B*a*e + B*b*d))/(105*e^5*(a*e - b*d)^4)))/(x^5 + d^5/e^5 + (5*d*x^4)/e + (5*d^4*x)/e^4 + (10*d^2*x^3)/e^2 + (10*d^3*x^2)/e^3)","B"
2209,1,585,255,2.654965,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(13/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(140\,B\,a^5\,d\,e^3+630\,A\,a^5\,e^4-660\,B\,a^4\,b\,d^2\,e^2-3080\,A\,a^4\,b\,d\,e^3+1188\,B\,a^3\,b^2\,d^3\,e+5940\,A\,a^3\,b^2\,d^2\,e^2-924\,B\,a^2\,b^3\,d^4-5544\,A\,a^2\,b^3\,d^3\,e+2310\,A\,a\,b^4\,d^4\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^5}+\frac{x\,\sqrt{a+b\,x}\,\left(770\,B\,a^5\,e^4-3700\,B\,a^4\,b\,d\,e^3+70\,A\,a^4\,b\,e^4+6864\,B\,a^3\,b^2\,d^2\,e^2-440\,A\,a^3\,b^2\,d\,e^3-5676\,B\,a^2\,b^3\,d^3\,e+1188\,A\,a^2\,b^3\,d^2\,e^2+462\,B\,a\,b^4\,d^4-1848\,A\,a\,b^4\,d^3\,e+2310\,A\,b^5\,d^4\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^5}+\frac{32\,b^4\,x^5\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-11\,B\,a\,e+3\,B\,b\,d\right)}{3465\,e^3\,{\left(a\,e-b\,d\right)}^5}-\frac{16\,b^3\,x^4\,\left(a\,e-11\,b\,d\right)\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-11\,B\,a\,e+3\,B\,b\,d\right)}{3465\,e^4\,{\left(a\,e-b\,d\right)}^5}+\frac{4\,b^2\,x^3\,\sqrt{a+b\,x}\,\left(3\,a^2\,e^2-22\,a\,b\,d\,e+99\,b^2\,d^2\right)\,\left(8\,A\,b\,e-11\,B\,a\,e+3\,B\,b\,d\right)}{3465\,e^5\,{\left(a\,e-b\,d\right)}^5}-\frac{2\,b\,x^2\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-11\,B\,a\,e+3\,B\,b\,d\right)\,\left(5\,a^3\,e^3-33\,a^2\,b\,d\,e^2+99\,a\,b^2\,d^2\,e-231\,b^3\,d^3\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^5}\right)}{x^6+\frac{d^6}{e^6}+\frac{6\,d\,x^5}{e}+\frac{6\,d^5\,x}{e^5}+\frac{15\,d^2\,x^4}{e^2}+\frac{20\,d^3\,x^3}{e^3}+\frac{15\,d^4\,x^2}{e^4}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(630*A*a^5*e^4 + 2310*A*a*b^4*d^4 + 140*B*a^5*d*e^3 - 924*B*a^2*b^3*d^4 - 5544*A*a^2*b^3*d^3*e + 1188*B*a^3*b^2*d^3*e - 660*B*a^4*b*d^2*e^2 + 5940*A*a^3*b^2*d^2*e^2 - 3080*A*a^4*b*d*e^3))/(3465*e^6*(a*e - b*d)^5) + (x*(a + b*x)^(1/2)*(2310*A*b^5*d^4 + 770*B*a^5*e^4 + 70*A*a^4*b*e^4 + 462*B*a*b^4*d^4 - 440*A*a^3*b^2*d*e^3 - 5676*B*a^2*b^3*d^3*e + 1188*A*a^2*b^3*d^2*e^2 + 6864*B*a^3*b^2*d^2*e^2 - 1848*A*a*b^4*d^3*e - 3700*B*a^4*b*d*e^3))/(3465*e^6*(a*e - b*d)^5) + (32*b^4*x^5*(a + b*x)^(1/2)*(8*A*b*e - 11*B*a*e + 3*B*b*d))/(3465*e^3*(a*e - b*d)^5) - (16*b^3*x^4*(a*e - 11*b*d)*(a + b*x)^(1/2)*(8*A*b*e - 11*B*a*e + 3*B*b*d))/(3465*e^4*(a*e - b*d)^5) + (4*b^2*x^3*(a + b*x)^(1/2)*(3*a^2*e^2 + 99*b^2*d^2 - 22*a*b*d*e)*(8*A*b*e - 11*B*a*e + 3*B*b*d))/(3465*e^5*(a*e - b*d)^5) - (2*b*x^2*(a + b*x)^(1/2)*(8*A*b*e - 11*B*a*e + 3*B*b*d)*(5*a^3*e^3 - 231*b^3*d^3 + 99*a*b^2*d^2*e - 33*a^2*b*d*e^2))/(3465*e^6*(a*e - b*d)^5)))/(x^6 + d^6/e^6 + (6*d*x^5)/e + (6*d^5*x)/e^5 + (15*d^2*x^4)/e^2 + (20*d^3*x^3)/e^3 + (15*d^4*x^2)/e^4)","B"
2210,1,750,309,3.028386,"\text{Not used}","int(((A + B*x)*(a + b*x)^(1/2))/(d + e*x)^(15/2),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x\,\sqrt{a+b\,x}\,\left(-8190\,B\,a^6\,e^5+47950\,B\,a^5\,b\,d\,e^4-630\,A\,a^5\,b\,e^5-115180\,B\,a^4\,b^2\,d^2\,e^3+4550\,A\,a^4\,b^2\,d\,e^4+142428\,B\,a^3\,b^3\,d^3\,e^2-14300\,A\,a^3\,b^3\,d^2\,e^3-88374\,B\,a^2\,b^4\,d^4\,e+25740\,A\,a^2\,b^4\,d^3\,e^2+6006\,B\,a\,b^5\,d^5-30030\,A\,a\,b^5\,d^4\,e+30030\,A\,b^6\,d^5\right)}{45045\,e^7\,{\left(a\,e-b\,d\right)}^6}-\frac{\sqrt{a+b\,x}\,\left(1260\,B\,a^6\,d\,e^4+6930\,A\,a^6\,e^5-7280\,B\,a^5\,b\,d^2\,e^3-40950\,A\,a^5\,b\,d\,e^4+17160\,B\,a^4\,b^2\,d^3\,e^2+100100\,A\,a^4\,b^2\,d^2\,e^3-20592\,B\,a^3\,b^3\,d^4\,e-128700\,A\,a^3\,b^3\,d^3\,e^2+12012\,B\,a^2\,b^4\,d^5+90090\,A\,a^2\,b^4\,d^4\,e-30030\,A\,a\,b^5\,d^5\right)}{45045\,e^7\,{\left(a\,e-b\,d\right)}^6}+\frac{256\,b^5\,x^6\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-13\,B\,a\,e+3\,B\,b\,d\right)}{45045\,e^3\,{\left(a\,e-b\,d\right)}^6}-\frac{16\,b^2\,x^3\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-13\,B\,a\,e+3\,B\,b\,d\right)\,\left(5\,a^3\,e^3-39\,a^2\,b\,d\,e^2+143\,a\,b^2\,d^2\,e-429\,b^3\,d^3\right)}{45045\,e^6\,{\left(a\,e-b\,d\right)}^6}+\frac{2\,b\,x^2\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-13\,B\,a\,e+3\,B\,b\,d\right)\,\left(35\,a^4\,e^4-260\,a^3\,b\,d\,e^3+858\,a^2\,b^2\,d^2\,e^2-1716\,a\,b^3\,d^3\,e+3003\,b^4\,d^4\right)}{45045\,e^7\,{\left(a\,e-b\,d\right)}^6}-\frac{128\,b^4\,x^5\,\left(a\,e-13\,b\,d\right)\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-13\,B\,a\,e+3\,B\,b\,d\right)}{45045\,e^4\,{\left(a\,e-b\,d\right)}^6}+\frac{32\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(3\,a^2\,e^2-26\,a\,b\,d\,e+143\,b^2\,d^2\right)\,\left(10\,A\,b\,e-13\,B\,a\,e+3\,B\,b\,d\right)}{45045\,e^5\,{\left(a\,e-b\,d\right)}^6}\right)}{x^7+\frac{d^7}{e^7}+\frac{7\,d\,x^6}{e}+\frac{7\,d^6\,x}{e^6}+\frac{21\,d^2\,x^5}{e^2}+\frac{35\,d^3\,x^4}{e^3}+\frac{35\,d^4\,x^3}{e^4}+\frac{21\,d^5\,x^2}{e^5}}","Not used",1,"((d + e*x)^(1/2)*((x*(a + b*x)^(1/2)*(30030*A*b^6*d^5 - 8190*B*a^6*e^5 - 630*A*a^5*b*e^5 + 6006*B*a*b^5*d^5 + 4550*A*a^4*b^2*d*e^4 - 88374*B*a^2*b^4*d^4*e + 25740*A*a^2*b^4*d^3*e^2 - 14300*A*a^3*b^3*d^2*e^3 + 142428*B*a^3*b^3*d^3*e^2 - 115180*B*a^4*b^2*d^2*e^3 - 30030*A*a*b^5*d^4*e + 47950*B*a^5*b*d*e^4))/(45045*e^7*(a*e - b*d)^6) - ((a + b*x)^(1/2)*(6930*A*a^6*e^5 - 30030*A*a*b^5*d^5 + 1260*B*a^6*d*e^4 + 12012*B*a^2*b^4*d^5 + 90090*A*a^2*b^4*d^4*e - 20592*B*a^3*b^3*d^4*e - 7280*B*a^5*b*d^2*e^3 - 128700*A*a^3*b^3*d^3*e^2 + 100100*A*a^4*b^2*d^2*e^3 + 17160*B*a^4*b^2*d^3*e^2 - 40950*A*a^5*b*d*e^4))/(45045*e^7*(a*e - b*d)^6) + (256*b^5*x^6*(a + b*x)^(1/2)*(10*A*b*e - 13*B*a*e + 3*B*b*d))/(45045*e^3*(a*e - b*d)^6) - (16*b^2*x^3*(a + b*x)^(1/2)*(10*A*b*e - 13*B*a*e + 3*B*b*d)*(5*a^3*e^3 - 429*b^3*d^3 + 143*a*b^2*d^2*e - 39*a^2*b*d*e^2))/(45045*e^6*(a*e - b*d)^6) + (2*b*x^2*(a + b*x)^(1/2)*(10*A*b*e - 13*B*a*e + 3*B*b*d)*(35*a^4*e^4 + 3003*b^4*d^4 + 858*a^2*b^2*d^2*e^2 - 1716*a*b^3*d^3*e - 260*a^3*b*d*e^3))/(45045*e^7*(a*e - b*d)^6) - (128*b^4*x^5*(a*e - 13*b*d)*(a + b*x)^(1/2)*(10*A*b*e - 13*B*a*e + 3*B*b*d))/(45045*e^4*(a*e - b*d)^6) + (32*b^3*x^4*(a + b*x)^(1/2)*(3*a^2*e^2 + 143*b^2*d^2 - 26*a*b*d*e)*(10*A*b*e - 13*B*a*e + 3*B*b*d))/(45045*e^5*(a*e - b*d)^6)))/(x^7 + d^7/e^7 + (7*d*x^6)/e + (7*d^6*x)/e^6 + (21*d^2*x^5)/e^2 + (35*d^3*x^4)/e^3 + (35*d^4*x^3)/e^4 + (21*d^5*x^2)/e^5)","B"
2211,0,-1,358,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(3/2)*(d + e*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}\,{\left(d+e\,x\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(3/2)*(d + e*x)^(5/2), x)","F"
2212,0,-1,304,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(3/2)*(d + e*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}\,{\left(d+e\,x\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(3/2)*(d + e*x)^(3/2), x)","F"
2213,0,-1,250,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(3/2)*(d + e*x)^(1/2),x)","\int \left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}\,\sqrt{d+e\,x} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(3/2)*(d + e*x)^(1/2), x)","F"
2214,0,-1,193,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(1/2), x)","F"
2215,0,-1,202,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(3/2), x)","F"
2216,0,-1,202,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(5/2), x)","F"
2217,0,-1,138,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(7/2), x)","F"
2218,1,257,95,2.135154,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(9/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(10\,A\,a^3\,e+4\,B\,a^3\,d-14\,A\,a^2\,b\,d\right)}{35\,e^4\,{\left(a\,e-b\,d\right)}^2}-\frac{x^3\,\sqrt{a+b\,x}\,\left(4\,A\,b^3\,e+10\,B\,b^3\,d-14\,B\,a\,b^2\,e\right)}{35\,e^4\,{\left(a\,e-b\,d\right)}^2}+\frac{x\,\sqrt{a+b\,x}\,\left(14\,B\,a^3\,e-28\,A\,a\,b^2\,d+16\,A\,a^2\,b\,e-2\,B\,a^2\,b\,d\right)}{35\,e^4\,{\left(a\,e-b\,d\right)}^2}-\frac{x^2\,\sqrt{a+b\,x}\,\left(14\,A\,b^3\,d-2\,A\,a\,b^2\,e+16\,B\,a\,b^2\,d-28\,B\,a^2\,b\,e\right)}{35\,e^4\,{\left(a\,e-b\,d\right)}^2}\right)}{x^4+\frac{d^4}{e^4}+\frac{4\,d\,x^3}{e}+\frac{4\,d^3\,x}{e^3}+\frac{6\,d^2\,x^2}{e^2}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(10*A*a^3*e + 4*B*a^3*d - 14*A*a^2*b*d))/(35*e^4*(a*e - b*d)^2) - (x^3*(a + b*x)^(1/2)*(4*A*b^3*e + 10*B*b^3*d - 14*B*a*b^2*e))/(35*e^4*(a*e - b*d)^2) + (x*(a + b*x)^(1/2)*(14*B*a^3*e - 28*A*a*b^2*d + 16*A*a^2*b*e - 2*B*a^2*b*d))/(35*e^4*(a*e - b*d)^2) - (x^2*(a + b*x)^(1/2)*(14*A*b^3*d - 2*A*a*b^2*e + 16*B*a*b^2*d - 28*B*a^2*b*e))/(35*e^4*(a*e - b*d)^2)))/(x^4 + d^4/e^4 + (4*d*x^3)/e + (4*d^3*x)/e^3 + (6*d^2*x^2)/e^2)","B"
2219,1,402,147,2.370633,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(11/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(20\,B\,a^4\,d\,e+70\,A\,a^4\,e^2-36\,B\,a^3\,b\,d^2-180\,A\,a^3\,b\,d\,e+126\,A\,a^2\,b^2\,d^2\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^3}+\frac{x^2\,\sqrt{a+b\,x}\,\left(144\,B\,a^3\,b\,e^2-384\,B\,a^2\,b^2\,d\,e+6\,A\,a^2\,b^2\,e^2+144\,B\,a\,b^3\,d^2-36\,A\,a\,b^3\,d\,e+126\,A\,b^4\,d^2\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^3}+\frac{x\,\sqrt{a+b\,x}\,\left(90\,B\,a^4\,e^2-172\,B\,a^3\,b\,d\,e+100\,A\,a^3\,b\,e^2+18\,B\,a^2\,b^2\,d^2-288\,A\,a^2\,b^2\,d\,e+252\,A\,a\,b^3\,d^2\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^3}+\frac{4\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(4\,A\,b\,e-9\,B\,a\,e+5\,B\,b\,d\right)}{315\,e^4\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,b^2\,x^3\,\left(a\,e-9\,b\,d\right)\,\sqrt{a+b\,x}\,\left(4\,A\,b\,e-9\,B\,a\,e+5\,B\,b\,d\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^3}\right)}{x^5+\frac{d^5}{e^5}+\frac{5\,d\,x^4}{e}+\frac{5\,d^4\,x}{e^4}+\frac{10\,d^2\,x^3}{e^2}+\frac{10\,d^3\,x^2}{e^3}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(70*A*a^4*e^2 + 20*B*a^4*d*e - 36*B*a^3*b*d^2 + 126*A*a^2*b^2*d^2 - 180*A*a^3*b*d*e))/(315*e^5*(a*e - b*d)^3) + (x^2*(a + b*x)^(1/2)*(126*A*b^4*d^2 + 144*B*a*b^3*d^2 + 144*B*a^3*b*e^2 + 6*A*a^2*b^2*e^2 - 36*A*a*b^3*d*e - 384*B*a^2*b^2*d*e))/(315*e^5*(a*e - b*d)^3) + (x*(a + b*x)^(1/2)*(90*B*a^4*e^2 + 252*A*a*b^3*d^2 + 100*A*a^3*b*e^2 + 18*B*a^2*b^2*d^2 - 172*B*a^3*b*d*e - 288*A*a^2*b^2*d*e))/(315*e^5*(a*e - b*d)^3) + (4*b^3*x^4*(a + b*x)^(1/2)*(4*A*b*e - 9*B*a*e + 5*B*b*d))/(315*e^4*(a*e - b*d)^3) - (2*b^2*x^3*(a*e - 9*b*d)*(a + b*x)^(1/2)*(4*A*b*e - 9*B*a*e + 5*B*b*d))/(315*e^5*(a*e - b*d)^3)))/(x^5 + d^5/e^5 + (5*d*x^4)/e + (5*d^4*x)/e^4 + (10*d^2*x^3)/e^2 + (10*d^3*x^2)/e^3)","B"
2220,1,570,201,2.678075,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(13/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(140\,B\,a^5\,d\,e^2+630\,A\,a^5\,e^3-440\,B\,a^4\,b\,d^2\,e-2310\,A\,a^4\,b\,d\,e^2+396\,B\,a^3\,b^2\,d^3+2970\,A\,a^3\,b^2\,d^2\,e-1386\,A\,a^2\,b^3\,d^3\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^4}+\frac{x\,\sqrt{a+b\,x}\,\left(770\,B\,a^5\,e^3-2490\,B\,a^4\,b\,d\,e^2+840\,A\,a^4\,b\,e^3+2398\,B\,a^3\,b^2\,d^2\,e-3300\,A\,a^3\,b^2\,d\,e^2-198\,B\,a^2\,b^3\,d^3+4752\,A\,a^2\,b^3\,d^2\,e-2772\,A\,a\,b^4\,d^3\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^4}-\frac{x^2\,\sqrt{a+b\,x}\,\left(-1100\,B\,a^4\,b\,e^3+4232\,B\,a^3\,b^2\,d\,e^2-30\,A\,a^3\,b^2\,e^3-5676\,B\,a^2\,b^3\,d^2\,e+198\,A\,a^2\,b^3\,d\,e^2+1584\,B\,a\,b^4\,d^3-594\,A\,a\,b^4\,d^2\,e+1386\,A\,b^5\,d^3\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^4}-\frac{16\,b^4\,x^5\,\sqrt{a+b\,x}\,\left(6\,A\,b\,e-11\,B\,a\,e+5\,B\,b\,d\right)}{3465\,e^4\,{\left(a\,e-b\,d\right)}^4}+\frac{8\,b^3\,x^4\,\left(a\,e-11\,b\,d\right)\,\sqrt{a+b\,x}\,\left(6\,A\,b\,e-11\,B\,a\,e+5\,B\,b\,d\right)}{3465\,e^5\,{\left(a\,e-b\,d\right)}^4}-\frac{2\,b^2\,x^3\,\sqrt{a+b\,x}\,\left(3\,a^2\,e^2-22\,a\,b\,d\,e+99\,b^2\,d^2\right)\,\left(6\,A\,b\,e-11\,B\,a\,e+5\,B\,b\,d\right)}{3465\,e^6\,{\left(a\,e-b\,d\right)}^4}\right)}{x^6+\frac{d^6}{e^6}+\frac{6\,d\,x^5}{e}+\frac{6\,d^5\,x}{e^5}+\frac{15\,d^2\,x^4}{e^2}+\frac{20\,d^3\,x^3}{e^3}+\frac{15\,d^4\,x^2}{e^4}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(630*A*a^5*e^3 + 140*B*a^5*d*e^2 - 1386*A*a^2*b^3*d^3 + 396*B*a^3*b^2*d^3 + 2970*A*a^3*b^2*d^2*e - 2310*A*a^4*b*d*e^2 - 440*B*a^4*b*d^2*e))/(3465*e^6*(a*e - b*d)^4) + (x*(a + b*x)^(1/2)*(770*B*a^5*e^3 - 2772*A*a*b^4*d^3 + 840*A*a^4*b*e^3 - 198*B*a^2*b^3*d^3 + 4752*A*a^2*b^3*d^2*e - 3300*A*a^3*b^2*d*e^2 + 2398*B*a^3*b^2*d^2*e - 2490*B*a^4*b*d*e^2))/(3465*e^6*(a*e - b*d)^4) - (x^2*(a + b*x)^(1/2)*(1386*A*b^5*d^3 + 1584*B*a*b^4*d^3 - 1100*B*a^4*b*e^3 - 30*A*a^3*b^2*e^3 + 198*A*a^2*b^3*d*e^2 - 5676*B*a^2*b^3*d^2*e + 4232*B*a^3*b^2*d*e^2 - 594*A*a*b^4*d^2*e))/(3465*e^6*(a*e - b*d)^4) - (16*b^4*x^5*(a + b*x)^(1/2)*(6*A*b*e - 11*B*a*e + 5*B*b*d))/(3465*e^4*(a*e - b*d)^4) + (8*b^3*x^4*(a*e - 11*b*d)*(a + b*x)^(1/2)*(6*A*b*e - 11*B*a*e + 5*B*b*d))/(3465*e^5*(a*e - b*d)^4) - (2*b^2*x^3*(a + b*x)^(1/2)*(3*a^2*e^2 + 99*b^2*d^2 - 22*a*b*d*e)*(6*A*b*e - 11*B*a*e + 5*B*b*d))/(3465*e^6*(a*e - b*d)^4)))/(x^6 + d^6/e^6 + (6*d*x^5)/e + (6*d^5*x)/e^5 + (15*d^2*x^4)/e^2 + (20*d^3*x^3)/e^3 + (15*d^4*x^2)/e^4)","B"
2221,1,752,255,3.105960,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(15/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(420\,B\,a^6\,d\,e^3+2310\,A\,a^6\,e^4-1820\,B\,a^5\,b\,d^2\,e^2-10920\,A\,a^5\,b\,d\,e^3+2860\,B\,a^4\,b^2\,d^3\,e+20020\,A\,a^4\,b^2\,d^2\,e^2-1716\,B\,a^3\,b^3\,d^4-17160\,A\,a^3\,b^3\,d^3\,e+6006\,A\,a^2\,b^4\,d^4\right)}{15015\,e^7\,{\left(a\,e-b\,d\right)}^5}+\frac{x\,\sqrt{a+b\,x}\,\left(2730\,B\,a^6\,e^4-12040\,B\,a^5\,b\,d\,e^3+2940\,A\,a^5\,b\,e^4+19500\,B\,a^4\,b^2\,d^2\,e^2-14560\,A\,a^4\,b^2\,d\,e^3-12584\,B\,a^3\,b^3\,d^3\,e+28600\,A\,a^3\,b^3\,d^2\,e^2+858\,B\,a^2\,b^4\,d^4-27456\,A\,a^2\,b^4\,d^3\,e+12012\,A\,a\,b^5\,d^4\right)}{15015\,e^7\,{\left(a\,e-b\,d\right)}^5}+\frac{x^2\,\sqrt{a+b\,x}\,\left(3640\,B\,a^5\,b\,e^4-17880\,B\,a^4\,b^2\,d\,e^3+70\,A\,a^4\,b^2\,e^4+34424\,B\,a^3\,b^3\,d^2\,e^2-520\,A\,a^3\,b^3\,d\,e^3-30888\,B\,a^2\,b^4\,d^3\,e+1716\,A\,a^2\,b^4\,d^2\,e^2+6864\,B\,a\,b^5\,d^4-3432\,A\,a\,b^5\,d^3\,e+6006\,A\,b^6\,d^4\right)}{15015\,e^7\,{\left(a\,e-b\,d\right)}^5}+\frac{32\,b^5\,x^6\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-13\,B\,a\,e+5\,B\,b\,d\right)}{15015\,e^4\,{\left(a\,e-b\,d\right)}^5}-\frac{2\,b^2\,x^3\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-13\,B\,a\,e+5\,B\,b\,d\right)\,\left(5\,a^3\,e^3-39\,a^2\,b\,d\,e^2+143\,a\,b^2\,d^2\,e-429\,b^3\,d^3\right)}{15015\,e^7\,{\left(a\,e-b\,d\right)}^5}-\frac{16\,b^4\,x^5\,\left(a\,e-13\,b\,d\right)\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-13\,B\,a\,e+5\,B\,b\,d\right)}{15015\,e^5\,{\left(a\,e-b\,d\right)}^5}+\frac{4\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(3\,a^2\,e^2-26\,a\,b\,d\,e+143\,b^2\,d^2\right)\,\left(8\,A\,b\,e-13\,B\,a\,e+5\,B\,b\,d\right)}{15015\,e^6\,{\left(a\,e-b\,d\right)}^5}\right)}{x^7+\frac{d^7}{e^7}+\frac{7\,d\,x^6}{e}+\frac{7\,d^6\,x}{e^6}+\frac{21\,d^2\,x^5}{e^2}+\frac{35\,d^3\,x^4}{e^3}+\frac{35\,d^4\,x^3}{e^4}+\frac{21\,d^5\,x^2}{e^5}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(2310*A*a^6*e^4 + 420*B*a^6*d*e^3 + 6006*A*a^2*b^4*d^4 - 1716*B*a^3*b^3*d^4 - 17160*A*a^3*b^3*d^3*e + 2860*B*a^4*b^2*d^3*e - 1820*B*a^5*b*d^2*e^2 + 20020*A*a^4*b^2*d^2*e^2 - 10920*A*a^5*b*d*e^3))/(15015*e^7*(a*e - b*d)^5) + (x*(a + b*x)^(1/2)*(2730*B*a^6*e^4 + 12012*A*a*b^5*d^4 + 2940*A*a^5*b*e^4 + 858*B*a^2*b^4*d^4 - 27456*A*a^2*b^4*d^3*e - 14560*A*a^4*b^2*d*e^3 - 12584*B*a^3*b^3*d^3*e + 28600*A*a^3*b^3*d^2*e^2 + 19500*B*a^4*b^2*d^2*e^2 - 12040*B*a^5*b*d*e^3))/(15015*e^7*(a*e - b*d)^5) + (x^2*(a + b*x)^(1/2)*(6006*A*b^6*d^4 + 6864*B*a*b^5*d^4 + 3640*B*a^5*b*e^4 + 70*A*a^4*b^2*e^4 - 520*A*a^3*b^3*d*e^3 - 30888*B*a^2*b^4*d^3*e - 17880*B*a^4*b^2*d*e^3 + 1716*A*a^2*b^4*d^2*e^2 + 34424*B*a^3*b^3*d^2*e^2 - 3432*A*a*b^5*d^3*e))/(15015*e^7*(a*e - b*d)^5) + (32*b^5*x^6*(a + b*x)^(1/2)*(8*A*b*e - 13*B*a*e + 5*B*b*d))/(15015*e^4*(a*e - b*d)^5) - (2*b^2*x^3*(a + b*x)^(1/2)*(8*A*b*e - 13*B*a*e + 5*B*b*d)*(5*a^3*e^3 - 429*b^3*d^3 + 143*a*b^2*d^2*e - 39*a^2*b*d*e^2))/(15015*e^7*(a*e - b*d)^5) - (16*b^4*x^5*(a*e - 13*b*d)*(a + b*x)^(1/2)*(8*A*b*e - 13*B*a*e + 5*B*b*d))/(15015*e^5*(a*e - b*d)^5) + (4*b^3*x^4*(a + b*x)^(1/2)*(3*a^2*e^2 + 143*b^2*d^2 - 26*a*b*d*e)*(8*A*b*e - 13*B*a*e + 5*B*b*d))/(15015*e^6*(a*e - b*d)^5)))/(x^7 + d^7/e^7 + (7*d*x^6)/e + (7*d^6*x)/e^6 + (21*d^2*x^5)/e^2 + (35*d^3*x^4)/e^3 + (35*d^4*x^3)/e^4 + (21*d^5*x^2)/e^5)","B"
2222,1,941,304,3.686188,"\text{Not used}","int(((A + B*x)*(a + b*x)^(3/2))/(d + e*x)^(17/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(924\,B\,a^7\,d\,e^4+6006\,A\,a^7\,e^5-5040\,B\,a^6\,b\,d^2\,e^3-34650\,A\,a^6\,b\,d\,e^4+10920\,B\,a^5\,b^2\,d^3\,e^2+81900\,A\,a^5\,b^2\,d^2\,e^3-11440\,B\,a^4\,b^3\,d^4\,e-100100\,A\,a^4\,b^3\,d^3\,e^2+5148\,B\,a^3\,b^4\,d^5+64350\,A\,a^3\,b^4\,d^4\,e-18018\,A\,a^2\,b^5\,d^5\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^6}-\frac{x^2\,\sqrt{a+b\,x}\,\left(-8820\,B\,a^6\,b\,e^5+52416\,B\,a^5\,b^2\,d\,e^4-126\,A\,a^5\,b^2\,e^5-128760\,B\,a^4\,b^3\,d^2\,e^3+1050\,A\,a^4\,b^3\,d\,e^4+165360\,B\,a^3\,b^4\,d^3\,e^2-3900\,A\,a^3\,b^4\,d^2\,e^3-111540\,B\,a^2\,b^5\,d^4\,e+8580\,A\,a^2\,b^5\,d^3\,e^2+20592\,B\,a\,b^6\,d^5-12870\,A\,a\,b^6\,d^4\,e+18018\,A\,b^7\,d^5\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^6}+\frac{x\,\sqrt{a+b\,x}\,\left(6930\,B\,a^7\,e^5-38262\,B\,a^6\,b\,d\,e^4+7392\,A\,a^6\,b\,e^5+84420\,B\,a^5\,b^2\,d^2\,e^3-44100\,A\,a^5\,b^2\,d\,e^4-91260\,B\,a^4\,b^3\,d^3\,e^2+109200\,A\,a^4\,b^3\,d^2\,e^3+44330\,B\,a^3\,b^4\,d^4\,e-143000\,A\,a^3\,b^4\,d^3\,e^2-2574\,B\,a^2\,b^5\,d^5+102960\,A\,a^2\,b^5\,d^4\,e-36036\,A\,a\,b^6\,d^5\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^6}-\frac{256\,b^6\,x^7\,\sqrt{a+b\,x}\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)}{45045\,e^4\,{\left(a\,e-b\,d\right)}^6}+\frac{16\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)\,\left(a^3\,e^3-9\,a^2\,b\,d\,e^2+39\,a\,b^2\,d^2\,e-143\,b^3\,d^3\right)}{9009\,e^7\,{\left(a\,e-b\,d\right)}^6}+\frac{128\,b^5\,x^6\,\left(a\,e-15\,b\,d\right)\,\sqrt{a+b\,x}\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)}{45045\,e^5\,{\left(a\,e-b\,d\right)}^6}-\frac{2\,b^2\,x^3\,\sqrt{a+b\,x}\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)\,\left(7\,a^4\,e^4-60\,a^3\,b\,d\,e^3+234\,a^2\,b^2\,d^2\,e^2-572\,a\,b^3\,d^3\,e+1287\,b^4\,d^4\right)}{9009\,e^8\,{\left(a\,e-b\,d\right)}^6}-\frac{32\,b^4\,x^5\,\sqrt{a+b\,x}\,\left(a^2\,e^2-10\,a\,b\,d\,e+65\,b^2\,d^2\right)\,\left(2\,A\,b\,e-3\,B\,a\,e+B\,b\,d\right)}{15015\,e^6\,{\left(a\,e-b\,d\right)}^6}\right)}{x^8+\frac{d^8}{e^8}+\frac{8\,d\,x^7}{e}+\frac{8\,d^7\,x}{e^7}+\frac{28\,d^2\,x^6}{e^2}+\frac{56\,d^3\,x^5}{e^3}+\frac{70\,d^4\,x^4}{e^4}+\frac{56\,d^5\,x^3}{e^5}+\frac{28\,d^6\,x^2}{e^6}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(6006*A*a^7*e^5 + 924*B*a^7*d*e^4 - 18018*A*a^2*b^5*d^5 + 5148*B*a^3*b^4*d^5 + 64350*A*a^3*b^4*d^4*e - 11440*B*a^4*b^3*d^4*e - 5040*B*a^6*b*d^2*e^3 - 100100*A*a^4*b^3*d^3*e^2 + 81900*A*a^5*b^2*d^2*e^3 + 10920*B*a^5*b^2*d^3*e^2 - 34650*A*a^6*b*d*e^4))/(45045*e^8*(a*e - b*d)^6) - (x^2*(a + b*x)^(1/2)*(18018*A*b^7*d^5 + 20592*B*a*b^6*d^5 - 8820*B*a^6*b*e^5 - 126*A*a^5*b^2*e^5 + 1050*A*a^4*b^3*d*e^4 - 111540*B*a^2*b^5*d^4*e + 52416*B*a^5*b^2*d*e^4 + 8580*A*a^2*b^5*d^3*e^2 - 3900*A*a^3*b^4*d^2*e^3 + 165360*B*a^3*b^4*d^3*e^2 - 128760*B*a^4*b^3*d^2*e^3 - 12870*A*a*b^6*d^4*e))/(45045*e^8*(a*e - b*d)^6) + (x*(a + b*x)^(1/2)*(6930*B*a^7*e^5 - 36036*A*a*b^6*d^5 + 7392*A*a^6*b*e^5 - 2574*B*a^2*b^5*d^5 + 102960*A*a^2*b^5*d^4*e - 44100*A*a^5*b^2*d*e^4 + 44330*B*a^3*b^4*d^4*e - 143000*A*a^3*b^4*d^3*e^2 + 109200*A*a^4*b^3*d^2*e^3 - 91260*B*a^4*b^3*d^3*e^2 + 84420*B*a^5*b^2*d^2*e^3 - 38262*B*a^6*b*d*e^4))/(45045*e^8*(a*e - b*d)^6) - (256*b^6*x^7*(a + b*x)^(1/2)*(2*A*b*e - 3*B*a*e + B*b*d))/(45045*e^4*(a*e - b*d)^6) + (16*b^3*x^4*(a + b*x)^(1/2)*(2*A*b*e - 3*B*a*e + B*b*d)*(a^3*e^3 - 143*b^3*d^3 + 39*a*b^2*d^2*e - 9*a^2*b*d*e^2))/(9009*e^7*(a*e - b*d)^6) + (128*b^5*x^6*(a*e - 15*b*d)*(a + b*x)^(1/2)*(2*A*b*e - 3*B*a*e + B*b*d))/(45045*e^5*(a*e - b*d)^6) - (2*b^2*x^3*(a + b*x)^(1/2)*(2*A*b*e - 3*B*a*e + B*b*d)*(7*a^4*e^4 + 1287*b^4*d^4 + 234*a^2*b^2*d^2*e^2 - 572*a*b^3*d^3*e - 60*a^3*b*d*e^3))/(9009*e^8*(a*e - b*d)^6) - (32*b^4*x^5*(a + b*x)^(1/2)*(a^2*e^2 + 65*b^2*d^2 - 10*a*b*d*e)*(2*A*b*e - 3*B*a*e + B*b*d))/(15015*e^6*(a*e - b*d)^6)))/(x^8 + d^8/e^8 + (8*d*x^7)/e + (8*d^7*x)/e^7 + (28*d^2*x^6)/e^2 + (56*d^3*x^5)/e^3 + (70*d^4*x^4)/e^4 + (56*d^5*x^3)/e^5 + (28*d^6*x^2)/e^6)","B"
2223,0,-1,412,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(5/2)*(d + e*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}\,{\left(d+e\,x\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(5/2)*(d + e*x)^(5/2), x)","F"
2224,0,-1,358,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(5/2)*(d + e*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}\,{\left(d+e\,x\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(5/2)*(d + e*x)^(3/2), x)","F"
2225,0,-1,304,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x)^(5/2)*(d + e*x)^(1/2),x)","\int \left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}\,\sqrt{d+e\,x} \,d x","Not used",1,"int((A + B*x)*(a + b*x)^(5/2)*(d + e*x)^(1/2), x)","F"
2226,0,-1,246,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(1/2), x)","F"
2227,0,-1,253,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(3/2), x)","F"
2228,0,-1,257,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(5/2), x)","F"
2229,0,-1,256,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(7/2), x)","F"
2230,0,-1,167,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(9/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(9/2), x)","F"
2231,1,325,95,2.400322,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(11/2),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x^3\,\sqrt{a+b\,x}\,\left(18\,A\,b^4\,d-2\,A\,a\,b^3\,e+38\,B\,a\,b^3\,d-54\,B\,a^2\,b^2\,e\right)}{63\,e^5\,{\left(a\,e-b\,d\right)}^2}-\frac{\sqrt{a+b\,x}\,\left(14\,A\,a^4\,e+4\,B\,a^4\,d-18\,A\,a^3\,b\,d\right)}{63\,e^5\,{\left(a\,e-b\,d\right)}^2}+\frac{x^4\,\sqrt{a+b\,x}\,\left(4\,A\,b^4\,e+14\,B\,b^4\,d-18\,B\,a\,b^3\,e\right)}{63\,e^5\,{\left(a\,e-b\,d\right)}^2}-\frac{x\,\sqrt{a+b\,x}\,\left(18\,B\,a^4\,e+38\,A\,a^3\,b\,e-2\,B\,a^3\,b\,d-54\,A\,a^2\,b^2\,d\right)}{63\,e^5\,{\left(a\,e-b\,d\right)}^2}+\frac{2\,a\,b\,x^2\,\sqrt{a+b\,x}\,\left(9\,A\,b^2\,d-9\,B\,a^2\,e-5\,A\,a\,b\,e+5\,B\,a\,b\,d\right)}{21\,e^5\,{\left(a\,e-b\,d\right)}^2}\right)}{x^5+\frac{d^5}{e^5}+\frac{5\,d\,x^4}{e}+\frac{5\,d^4\,x}{e^4}+\frac{10\,d^2\,x^3}{e^2}+\frac{10\,d^3\,x^2}{e^3}}","Not used",1,"((d + e*x)^(1/2)*((x^3*(a + b*x)^(1/2)*(18*A*b^4*d - 2*A*a*b^3*e + 38*B*a*b^3*d - 54*B*a^2*b^2*e))/(63*e^5*(a*e - b*d)^2) - ((a + b*x)^(1/2)*(14*A*a^4*e + 4*B*a^4*d - 18*A*a^3*b*d))/(63*e^5*(a*e - b*d)^2) + (x^4*(a + b*x)^(1/2)*(4*A*b^4*e + 14*B*b^4*d - 18*B*a*b^3*e))/(63*e^5*(a*e - b*d)^2) - (x*(a + b*x)^(1/2)*(18*B*a^4*e + 38*A*a^3*b*e - 2*B*a^3*b*d - 54*A*a^2*b^2*d))/(63*e^5*(a*e - b*d)^2) + (2*a*b*x^2*(a + b*x)^(1/2)*(9*A*b^2*d - 9*B*a^2*e - 5*A*a*b*e + 5*B*a*b*d))/(21*e^5*(a*e - b*d)^2)))/(x^5 + d^5/e^5 + (5*d*x^4)/e + (5*d^4*x)/e^4 + (10*d^2*x^3)/e^2 + (10*d^3*x^2)/e^3)","B"
2232,1,509,147,2.734712,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(13/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(28\,B\,a^5\,d\,e+126\,A\,a^5\,e^2-44\,B\,a^4\,b\,d^2-308\,A\,a^4\,b\,d\,e+198\,A\,a^3\,b^2\,d^2\right)}{693\,e^6\,{\left(a\,e-b\,d\right)}^3}+\frac{x\,\sqrt{a+b\,x}\,\left(154\,B\,a^5\,e^2-256\,B\,a^4\,b\,d\,e+322\,A\,a^4\,b\,e^2+22\,B\,a^3\,b^2\,d^2-836\,A\,a^3\,b^2\,d\,e+594\,A\,a^2\,b^3\,d^2\right)}{693\,e^6\,{\left(a\,e-b\,d\right)}^3}+\frac{x^2\,\sqrt{a+b\,x}\,\left(418\,B\,a^4\,b\,e^2-908\,B\,a^3\,b^2\,d\,e+226\,A\,a^3\,b^2\,e^2+330\,B\,a^2\,b^3\,d^2-660\,A\,a^2\,b^3\,d\,e+594\,A\,a\,b^4\,d^2\right)}{693\,e^6\,{\left(a\,e-b\,d\right)}^3}+\frac{x^3\,\sqrt{a+b\,x}\,\left(330\,B\,a^3\,b^2\,e^2-908\,B\,a^2\,b^3\,d\,e+6\,A\,a^2\,b^3\,e^2+418\,B\,a\,b^4\,d^2-44\,A\,a\,b^4\,d\,e+198\,A\,b^5\,d^2\right)}{693\,e^6\,{\left(a\,e-b\,d\right)}^3}+\frac{4\,b^4\,x^5\,\sqrt{a+b\,x}\,\left(4\,A\,b\,e-11\,B\,a\,e+7\,B\,b\,d\right)}{693\,e^5\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,b^3\,x^4\,\left(a\,e-11\,b\,d\right)\,\sqrt{a+b\,x}\,\left(4\,A\,b\,e-11\,B\,a\,e+7\,B\,b\,d\right)}{693\,e^6\,{\left(a\,e-b\,d\right)}^3}\right)}{x^6+\frac{d^6}{e^6}+\frac{6\,d\,x^5}{e}+\frac{6\,d^5\,x}{e^5}+\frac{15\,d^2\,x^4}{e^2}+\frac{20\,d^3\,x^3}{e^3}+\frac{15\,d^4\,x^2}{e^4}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(126*A*a^5*e^2 + 28*B*a^5*d*e - 44*B*a^4*b*d^2 + 198*A*a^3*b^2*d^2 - 308*A*a^4*b*d*e))/(693*e^6*(a*e - b*d)^3) + (x*(a + b*x)^(1/2)*(154*B*a^5*e^2 + 322*A*a^4*b*e^2 + 594*A*a^2*b^3*d^2 + 22*B*a^3*b^2*d^2 - 256*B*a^4*b*d*e - 836*A*a^3*b^2*d*e))/(693*e^6*(a*e - b*d)^3) + (x^2*(a + b*x)^(1/2)*(594*A*a*b^4*d^2 + 418*B*a^4*b*e^2 + 226*A*a^3*b^2*e^2 + 330*B*a^2*b^3*d^2 - 660*A*a^2*b^3*d*e - 908*B*a^3*b^2*d*e))/(693*e^6*(a*e - b*d)^3) + (x^3*(a + b*x)^(1/2)*(198*A*b^5*d^2 + 418*B*a*b^4*d^2 + 6*A*a^2*b^3*e^2 + 330*B*a^3*b^2*e^2 - 44*A*a*b^4*d*e - 908*B*a^2*b^3*d*e))/(693*e^6*(a*e - b*d)^3) + (4*b^4*x^5*(a + b*x)^(1/2)*(4*A*b*e - 11*B*a*e + 7*B*b*d))/(693*e^5*(a*e - b*d)^3) - (2*b^3*x^4*(a*e - 11*b*d)*(a + b*x)^(1/2)*(4*A*b*e - 11*B*a*e + 7*B*b*d))/(693*e^6*(a*e - b*d)^3)))/(x^6 + d^6/e^6 + (6*d*x^5)/e + (6*d^5*x)/e^5 + (15*d^2*x^4)/e^2 + (20*d^3*x^3)/e^3 + (15*d^4*x^2)/e^4)","B"
2233,1,706,201,3.082959,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(15/2),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x^3\,\sqrt{a+b\,x}\,\left(-2938\,B\,a^4\,b^2\,e^3+11470\,B\,a^3\,b^3\,d\,e^2-30\,A\,a^3\,b^3\,e^3-15886\,B\,a^2\,b^4\,d^2\,e+234\,A\,a^2\,b^4\,d\,e^2+5434\,B\,a\,b^5\,d^3-858\,A\,a\,b^5\,d^2\,e+2574\,A\,b^6\,d^3\right)}{9009\,e^7\,{\left(a\,e-b\,d\right)}^4}-\frac{\sqrt{a+b\,x}\,\left(252\,B\,a^6\,d\,e^2+1386\,A\,a^6\,e^3-728\,B\,a^5\,b\,d^2\,e-4914\,A\,a^5\,b\,d\,e^2+572\,B\,a^4\,b^2\,d^3+6006\,A\,a^4\,b^2\,d^2\,e-2574\,A\,a^3\,b^3\,d^3\right)}{9009\,e^7\,{\left(a\,e-b\,d\right)}^4}-\frac{x\,\sqrt{a+b\,x}\,\left(1638\,B\,a^6\,e^3-4858\,B\,a^5\,b\,d\,e^2+3402\,A\,a^5\,b\,e^3+4082\,B\,a^4\,b^2\,d^2\,e-12558\,A\,a^4\,b^2\,d\,e^2-286\,B\,a^3\,b^3\,d^3+16302\,A\,a^3\,b^3\,d^2\,e-7722\,A\,a^2\,b^4\,d^3\right)}{9009\,e^7\,{\left(a\,e-b\,d\right)}^4}+\frac{x^2\,\sqrt{a+b\,x}\,\left(-4186\,B\,a^5\,b\,e^3+14342\,B\,a^4\,b^2\,d\,e^2-2226\,A\,a^4\,b^2\,e^3-15886\,B\,a^3\,b^3\,d^2\,e+8814\,A\,a^3\,b^3\,d\,e^2+4290\,B\,a^2\,b^4\,d^3-12870\,A\,a^2\,b^4\,d^2\,e+7722\,A\,a\,b^5\,d^3\right)}{9009\,e^7\,{\left(a\,e-b\,d\right)}^4}+\frac{16\,b^5\,x^6\,\sqrt{a+b\,x}\,\left(6\,A\,b\,e-13\,B\,a\,e+7\,B\,b\,d\right)}{9009\,e^5\,{\left(a\,e-b\,d\right)}^4}-\frac{8\,b^4\,x^5\,\left(a\,e-13\,b\,d\right)\,\sqrt{a+b\,x}\,\left(6\,A\,b\,e-13\,B\,a\,e+7\,B\,b\,d\right)}{9009\,e^6\,{\left(a\,e-b\,d\right)}^4}+\frac{2\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(3\,a^2\,e^2-26\,a\,b\,d\,e+143\,b^2\,d^2\right)\,\left(6\,A\,b\,e-13\,B\,a\,e+7\,B\,b\,d\right)}{9009\,e^7\,{\left(a\,e-b\,d\right)}^4}\right)}{x^7+\frac{d^7}{e^7}+\frac{7\,d\,x^6}{e}+\frac{7\,d^6\,x}{e^6}+\frac{21\,d^2\,x^5}{e^2}+\frac{35\,d^3\,x^4}{e^3}+\frac{35\,d^4\,x^3}{e^4}+\frac{21\,d^5\,x^2}{e^5}}","Not used",1,"((d + e*x)^(1/2)*((x^3*(a + b*x)^(1/2)*(2574*A*b^6*d^3 + 5434*B*a*b^5*d^3 - 30*A*a^3*b^3*e^3 - 2938*B*a^4*b^2*e^3 + 234*A*a^2*b^4*d*e^2 - 15886*B*a^2*b^4*d^2*e + 11470*B*a^3*b^3*d*e^2 - 858*A*a*b^5*d^2*e))/(9009*e^7*(a*e - b*d)^4) - ((a + b*x)^(1/2)*(1386*A*a^6*e^3 + 252*B*a^6*d*e^2 - 2574*A*a^3*b^3*d^3 + 572*B*a^4*b^2*d^3 + 6006*A*a^4*b^2*d^2*e - 4914*A*a^5*b*d*e^2 - 728*B*a^5*b*d^2*e))/(9009*e^7*(a*e - b*d)^4) - (x*(a + b*x)^(1/2)*(1638*B*a^6*e^3 + 3402*A*a^5*b*e^3 - 7722*A*a^2*b^4*d^3 - 286*B*a^3*b^3*d^3 + 16302*A*a^3*b^3*d^2*e - 12558*A*a^4*b^2*d*e^2 + 4082*B*a^4*b^2*d^2*e - 4858*B*a^5*b*d*e^2))/(9009*e^7*(a*e - b*d)^4) + (x^2*(a + b*x)^(1/2)*(7722*A*a*b^5*d^3 - 4186*B*a^5*b*e^3 - 2226*A*a^4*b^2*e^3 + 4290*B*a^2*b^4*d^3 - 12870*A*a^2*b^4*d^2*e + 8814*A*a^3*b^3*d*e^2 - 15886*B*a^3*b^3*d^2*e + 14342*B*a^4*b^2*d*e^2))/(9009*e^7*(a*e - b*d)^4) + (16*b^5*x^6*(a + b*x)^(1/2)*(6*A*b*e - 13*B*a*e + 7*B*b*d))/(9009*e^5*(a*e - b*d)^4) - (8*b^4*x^5*(a*e - 13*b*d)*(a + b*x)^(1/2)*(6*A*b*e - 13*B*a*e + 7*B*b*d))/(9009*e^6*(a*e - b*d)^4) + (2*b^3*x^4*(a + b*x)^(1/2)*(3*a^2*e^2 + 143*b^2*d^2 - 26*a*b*d*e)*(6*A*b*e - 13*B*a*e + 7*B*b*d))/(9009*e^7*(a*e - b*d)^4)))/(x^7 + d^7/e^7 + (7*d*x^6)/e + (7*d^6*x)/e^6 + (21*d^2*x^5)/e^2 + (35*d^3*x^4)/e^3 + (35*d^4*x^3)/e^4 + (21*d^5*x^2)/e^5)","B"
2234,1,917,255,3.602660,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(17/2),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{\sqrt{a+b\,x}\,\left(924\,B\,a^7\,d\,e^3+6006\,A\,a^7\,e^4-3780\,B\,a^6\,b\,d^2\,e^2-27720\,A\,a^6\,b\,d\,e^3+5460\,B\,a^5\,b^2\,d^3\,e+49140\,A\,a^5\,b^2\,d^2\,e^2-2860\,B\,a^4\,b^3\,d^4-40040\,A\,a^4\,b^3\,d^3\,e+12870\,A\,a^3\,b^4\,d^4\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^5}+\frac{x^2\,\sqrt{a+b\,x}\,\left(17010\,B\,a^6\,b\,e^4-77616\,B\,a^5\,b^2\,d\,e^3+8946\,A\,a^5\,b^2\,e^4+133620\,B\,a^4\,b^3\,d^2\,e^2-44520\,A\,a^4\,b^3\,d\,e^3-99840\,B\,a^3\,b^4\,d^3\,e+88140\,A\,a^3\,b^4\,d^2\,e^2+21450\,B\,a^2\,b^5\,d^4-85800\,A\,a^2\,b^5\,d^3\,e+38610\,A\,a\,b^6\,d^4\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^5}+\frac{x^3\,\sqrt{a+b\,x}\,\left(11130\,B\,a^5\,b^2\,e^4-55120\,B\,a^4\,b^3\,d\,e^3+70\,A\,a^4\,b^3\,e^4+107700\,B\,a^3\,b^4\,d^2\,e^2-600\,A\,a^3\,b^4\,d\,e^3-99840\,B\,a^2\,b^5\,d^3\,e+2340\,A\,a^2\,b^5\,d^2\,e^2+27170\,B\,a\,b^6\,d^4-5720\,A\,a\,b^6\,d^3\,e+12870\,A\,b^7\,d^4\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^5}+\frac{x\,\sqrt{a+b\,x}\,\left(6930\,B\,a^7\,e^4-28812\,B\,a^6\,b\,d\,e^3+14322\,A\,a^6\,b\,e^4+42840\,B\,a^5\,b^2\,d^2\,e^2-68040\,A\,a^5\,b^2\,d\,e^3-24180\,B\,a^4\,b^3\,d^3\,e+125580\,A\,a^4\,b^3\,d^2\,e^2+1430\,B\,a^3\,b^4\,d^4-108680\,A\,a^3\,b^4\,d^3\,e+38610\,A\,a^2\,b^5\,d^4\right)}{45045\,e^8\,{\left(a\,e-b\,d\right)}^5}+\frac{32\,b^6\,x^7\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right)}{45045\,e^5\,{\left(a\,e-b\,d\right)}^5}-\frac{2\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right)\,\left(a^3\,e^3-9\,a^2\,b\,d\,e^2+39\,a\,b^2\,d^2\,e-143\,b^3\,d^3\right)}{9009\,e^8\,{\left(a\,e-b\,d\right)}^5}-\frac{16\,b^5\,x^6\,\left(a\,e-15\,b\,d\right)\,\sqrt{a+b\,x}\,\left(8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right)}{45045\,e^6\,{\left(a\,e-b\,d\right)}^5}+\frac{4\,b^4\,x^5\,\sqrt{a+b\,x}\,\left(a^2\,e^2-10\,a\,b\,d\,e+65\,b^2\,d^2\right)\,\left(8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right)}{15015\,e^7\,{\left(a\,e-b\,d\right)}^5}\right)}{x^8+\frac{d^8}{e^8}+\frac{8\,d\,x^7}{e}+\frac{8\,d^7\,x}{e^7}+\frac{28\,d^2\,x^6}{e^2}+\frac{56\,d^3\,x^5}{e^3}+\frac{70\,d^4\,x^4}{e^4}+\frac{56\,d^5\,x^3}{e^5}+\frac{28\,d^6\,x^2}{e^6}}","Not used",1,"-((d + e*x)^(1/2)*(((a + b*x)^(1/2)*(6006*A*a^7*e^4 + 924*B*a^7*d*e^3 + 12870*A*a^3*b^4*d^4 - 2860*B*a^4*b^3*d^4 - 40040*A*a^4*b^3*d^3*e + 5460*B*a^5*b^2*d^3*e - 3780*B*a^6*b*d^2*e^2 + 49140*A*a^5*b^2*d^2*e^2 - 27720*A*a^6*b*d*e^3))/(45045*e^8*(a*e - b*d)^5) + (x^2*(a + b*x)^(1/2)*(38610*A*a*b^6*d^4 + 17010*B*a^6*b*e^4 + 8946*A*a^5*b^2*e^4 + 21450*B*a^2*b^5*d^4 - 85800*A*a^2*b^5*d^3*e - 44520*A*a^4*b^3*d*e^3 - 99840*B*a^3*b^4*d^3*e - 77616*B*a^5*b^2*d*e^3 + 88140*A*a^3*b^4*d^2*e^2 + 133620*B*a^4*b^3*d^2*e^2))/(45045*e^8*(a*e - b*d)^5) + (x^3*(a + b*x)^(1/2)*(12870*A*b^7*d^4 + 27170*B*a*b^6*d^4 + 70*A*a^4*b^3*e^4 + 11130*B*a^5*b^2*e^4 - 600*A*a^3*b^4*d*e^3 - 99840*B*a^2*b^5*d^3*e - 55120*B*a^4*b^3*d*e^3 + 2340*A*a^2*b^5*d^2*e^2 + 107700*B*a^3*b^4*d^2*e^2 - 5720*A*a*b^6*d^3*e))/(45045*e^8*(a*e - b*d)^5) + (x*(a + b*x)^(1/2)*(6930*B*a^7*e^4 + 14322*A*a^6*b*e^4 + 38610*A*a^2*b^5*d^4 + 1430*B*a^3*b^4*d^4 - 108680*A*a^3*b^4*d^3*e - 68040*A*a^5*b^2*d*e^3 - 24180*B*a^4*b^3*d^3*e + 125580*A*a^4*b^3*d^2*e^2 + 42840*B*a^5*b^2*d^2*e^2 - 28812*B*a^6*b*d*e^3))/(45045*e^8*(a*e - b*d)^5) + (32*b^6*x^7*(a + b*x)^(1/2)*(8*A*b*e - 15*B*a*e + 7*B*b*d))/(45045*e^5*(a*e - b*d)^5) - (2*b^3*x^4*(a + b*x)^(1/2)*(8*A*b*e - 15*B*a*e + 7*B*b*d)*(a^3*e^3 - 143*b^3*d^3 + 39*a*b^2*d^2*e - 9*a^2*b*d*e^2))/(9009*e^8*(a*e - b*d)^5) - (16*b^5*x^6*(a*e - 15*b*d)*(a + b*x)^(1/2)*(8*A*b*e - 15*B*a*e + 7*B*b*d))/(45045*e^6*(a*e - b*d)^5) + (4*b^4*x^5*(a + b*x)^(1/2)*(a^2*e^2 + 65*b^2*d^2 - 10*a*b*d*e)*(8*A*b*e - 15*B*a*e + 7*B*b*d))/(15015*e^7*(a*e - b*d)^5)))/(x^8 + d^8/e^8 + (8*d*x^7)/e + (8*d^7*x)/e^7 + (28*d^2*x^6)/e^2 + (56*d^3*x^5)/e^3 + (70*d^4*x^4)/e^4 + (56*d^5*x^3)/e^5 + (28*d^6*x^2)/e^6)","B"
2235,1,1144,309,4.464972,"\text{Not used}","int(((A + B*x)*(a + b*x)^(5/2))/(d + e*x)^(19/2),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x^2\,\sqrt{a+b\,x}\,\left(-243474\,B\,a^7\,b\,e^5+1375122\,B\,a^6\,b^2\,d\,e^4-127050\,A\,a^6\,b^2\,e^5-3143028\,B\,a^5\,b^3\,d^2\,e^3+760410\,A\,a^5\,b^3\,d\,e^4+3619300\,B\,a^4\,b^4\,d^3\,e^2-1892100\,A\,a^4\,b^4\,d^2\,e^3-2044250\,B\,a^3\,b^5\,d^4\,e+2497300\,A\,a^3\,b^5\,d^3\,e^2+364650\,B\,a^2\,b^6\,d^5-1823250\,A\,a^2\,b^6\,d^4\,e+656370\,A\,a\,b^7\,d^5\right)}{765765\,e^9\,{\left(a\,e-b\,d\right)}^6}-\frac{x\,\sqrt{a+b\,x}\,\left(102102\,B\,a^8\,e^5-540078\,B\,a^7\,b\,d\,e^4+210210\,A\,a^7\,b\,e^5+1123836\,B\,a^6\,b^2\,d^2\,e^3-1217370\,A\,a^6\,b^2\,d\,e^4-1116220\,B\,a^5\,b^3\,d^3\,e^2+2891700\,A\,a^5\,b^3\,d^2\,e^3+475150\,B\,a^4\,b^4\,d^4\,e-3558100\,A\,a^4\,b^4\,d^3\,e^2-24310\,B\,a^3\,b^5\,d^5+2309450\,A\,a^3\,b^5\,d^4\,e-656370\,A\,a^2\,b^6\,d^5\right)}{765765\,e^9\,{\left(a\,e-b\,d\right)}^6}-\frac{\sqrt{a+b\,x}\,\left(12012\,B\,a^8\,d\,e^4+90090\,A\,a^8\,e^5-62832\,B\,a^7\,b\,d^2\,e^3-510510\,A\,a^7\,b\,d\,e^4+128520\,B\,a^6\,b^2\,d^3\,e^2+1178100\,A\,a^6\,b^2\,d^2\,e^3-123760\,B\,a^5\,b^3\,d^4\,e-1392300\,A\,a^5\,b^3\,d^3\,e^2+48620\,B\,a^4\,b^4\,d^5+850850\,A\,a^4\,b^4\,d^4\,e-218790\,A\,a^3\,b^5\,d^5\right)}{765765\,e^9\,{\left(a\,e-b\,d\right)}^6}+\frac{x^3\,\sqrt{a+b\,x}\,\left(-152082\,B\,a^6\,b^2\,e^5+908362\,B\,a^5\,b^3\,d\,e^4-630\,A\,a^5\,b^3\,e^5-2249780\,B\,a^4\,b^4\,d^2\,e^3+5950\,A\,a^4\,b^4\,d\,e^4+2932500\,B\,a^3\,b^5\,d^3\,e^2-25500\,A\,a^3\,b^5\,d^2\,e^3-2044250\,B\,a^2\,b^6\,d^4\,e+66300\,A\,a^2\,b^6\,d^3\,e^2+461890\,B\,a\,b^7\,d^5-121550\,A\,a\,b^7\,d^4\,e+218790\,A\,b^8\,d^5\right)}{765765\,e^9\,{\left(a\,e-b\,d\right)}^6}+\frac{256\,b^7\,x^8\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-17\,B\,a\,e+7\,B\,b\,d\right)}{765765\,e^5\,{\left(a\,e-b\,d\right)}^6}-\frac{16\,b^4\,x^5\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-17\,B\,a\,e+7\,B\,b\,d\right)\,\left(5\,a^3\,e^3-51\,a^2\,b\,d\,e^2+255\,a\,b^2\,d^2\,e-1105\,b^3\,d^3\right)}{765765\,e^8\,{\left(a\,e-b\,d\right)}^6}-\frac{128\,b^6\,x^7\,\left(a\,e-17\,b\,d\right)\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-17\,B\,a\,e+7\,B\,b\,d\right)}{765765\,e^6\,{\left(a\,e-b\,d\right)}^6}+\frac{2\,b^3\,x^4\,\sqrt{a+b\,x}\,\left(10\,A\,b\,e-17\,B\,a\,e+7\,B\,b\,d\right)\,\left(7\,a^4\,e^4-68\,a^3\,b\,d\,e^3+306\,a^2\,b^2\,d^2\,e^2-884\,a\,b^3\,d^3\,e+2431\,b^4\,d^4\right)}{153153\,e^9\,{\left(a\,e-b\,d\right)}^6}+\frac{32\,b^5\,x^6\,\sqrt{a+b\,x}\,\left(3\,a^2\,e^2-34\,a\,b\,d\,e+255\,b^2\,d^2\right)\,\left(10\,A\,b\,e-17\,B\,a\,e+7\,B\,b\,d\right)}{765765\,e^7\,{\left(a\,e-b\,d\right)}^6}\right)}{x^9+\frac{d^9}{e^9}+\frac{9\,d\,x^8}{e}+\frac{9\,d^8\,x}{e^8}+\frac{36\,d^2\,x^7}{e^2}+\frac{84\,d^3\,x^6}{e^3}+\frac{126\,d^4\,x^5}{e^4}+\frac{126\,d^5\,x^4}{e^5}+\frac{84\,d^6\,x^3}{e^6}+\frac{36\,d^7\,x^2}{e^7}}","Not used",1,"((d + e*x)^(1/2)*((x^2*(a + b*x)^(1/2)*(656370*A*a*b^7*d^5 - 243474*B*a^7*b*e^5 - 127050*A*a^6*b^2*e^5 + 364650*B*a^2*b^6*d^5 - 1823250*A*a^2*b^6*d^4*e + 760410*A*a^5*b^3*d*e^4 - 2044250*B*a^3*b^5*d^4*e + 1375122*B*a^6*b^2*d*e^4 + 2497300*A*a^3*b^5*d^3*e^2 - 1892100*A*a^4*b^4*d^2*e^3 + 3619300*B*a^4*b^4*d^3*e^2 - 3143028*B*a^5*b^3*d^2*e^3))/(765765*e^9*(a*e - b*d)^6) - (x*(a + b*x)^(1/2)*(102102*B*a^8*e^5 + 210210*A*a^7*b*e^5 - 656370*A*a^2*b^6*d^5 - 24310*B*a^3*b^5*d^5 + 2309450*A*a^3*b^5*d^4*e - 1217370*A*a^6*b^2*d*e^4 + 475150*B*a^4*b^4*d^4*e - 3558100*A*a^4*b^4*d^3*e^2 + 2891700*A*a^5*b^3*d^2*e^3 - 1116220*B*a^5*b^3*d^3*e^2 + 1123836*B*a^6*b^2*d^2*e^3 - 540078*B*a^7*b*d*e^4))/(765765*e^9*(a*e - b*d)^6) - ((a + b*x)^(1/2)*(90090*A*a^8*e^5 + 12012*B*a^8*d*e^4 - 218790*A*a^3*b^5*d^5 + 48620*B*a^4*b^4*d^5 + 850850*A*a^4*b^4*d^4*e - 123760*B*a^5*b^3*d^4*e - 62832*B*a^7*b*d^2*e^3 - 1392300*A*a^5*b^3*d^3*e^2 + 1178100*A*a^6*b^2*d^2*e^3 + 128520*B*a^6*b^2*d^3*e^2 - 510510*A*a^7*b*d*e^4))/(765765*e^9*(a*e - b*d)^6) + (x^3*(a + b*x)^(1/2)*(218790*A*b^8*d^5 + 461890*B*a*b^7*d^5 - 630*A*a^5*b^3*e^5 - 152082*B*a^6*b^2*e^5 + 5950*A*a^4*b^4*d*e^4 - 2044250*B*a^2*b^6*d^4*e + 908362*B*a^5*b^3*d*e^4 + 66300*A*a^2*b^6*d^3*e^2 - 25500*A*a^3*b^5*d^2*e^3 + 2932500*B*a^3*b^5*d^3*e^2 - 2249780*B*a^4*b^4*d^2*e^3 - 121550*A*a*b^7*d^4*e))/(765765*e^9*(a*e - b*d)^6) + (256*b^7*x^8*(a + b*x)^(1/2)*(10*A*b*e - 17*B*a*e + 7*B*b*d))/(765765*e^5*(a*e - b*d)^6) - (16*b^4*x^5*(a + b*x)^(1/2)*(10*A*b*e - 17*B*a*e + 7*B*b*d)*(5*a^3*e^3 - 1105*b^3*d^3 + 255*a*b^2*d^2*e - 51*a^2*b*d*e^2))/(765765*e^8*(a*e - b*d)^6) - (128*b^6*x^7*(a*e - 17*b*d)*(a + b*x)^(1/2)*(10*A*b*e - 17*B*a*e + 7*B*b*d))/(765765*e^6*(a*e - b*d)^6) + (2*b^3*x^4*(a + b*x)^(1/2)*(10*A*b*e - 17*B*a*e + 7*B*b*d)*(7*a^4*e^4 + 2431*b^4*d^4 + 306*a^2*b^2*d^2*e^2 - 884*a*b^3*d^3*e - 68*a^3*b*d*e^3))/(153153*e^9*(a*e - b*d)^6) + (32*b^5*x^6*(a + b*x)^(1/2)*(3*a^2*e^2 + 255*b^2*d^2 - 34*a*b*d*e)*(10*A*b*e - 17*B*a*e + 7*B*b*d))/(765765*e^7*(a*e - b*d)^6)))/(x^9 + d^9/e^9 + (9*d*x^8)/e + (9*d^8*x)/e^8 + (36*d^2*x^7)/e^2 + (84*d^3*x^6)/e^3 + (126*d^4*x^5)/e^4 + (126*d^5*x^4)/e^5 + (84*d^6*x^3)/e^6 + (36*d^7*x^2)/e^7)","B"
2236,0,-1,246,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(1/2), x)","F"
2237,0,-1,193,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(1/2), x)","F"
2238,1,866,140,22.141213,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^(1/2),x)","\frac{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(\frac{11\,B\,a^2\,e^2}{2}+23\,B\,a\,b\,d\,e+\frac{7\,B\,b^2\,d^2}{2}\right)}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^3}+\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-\frac{3\,B\,a^2\,b\,e^2}{2}+B\,a\,b^2\,d\,e+\frac{B\,b^3\,d^2}{2}\right)}{e^5\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(-\frac{3\,B\,a^2\,e^2}{2}+B\,a\,b\,d\,e+\frac{B\,b^2\,d^2}{2}\right)}{b^2\,e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^7}+\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(\frac{11\,B\,a^2\,e^2}{2}+23\,B\,a\,b\,d\,e+\frac{7\,B\,b^2\,d^2}{2}\right)}{b\,e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^5}-\frac{\sqrt{a}\,\sqrt{d}\,\left(32\,B\,a\,e+16\,B\,b\,d\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}-\frac{8\,B\,\sqrt{a}\,d^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^6}-\frac{8\,B\,\sqrt{a}\,b^2\,d^{3/2}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^4\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}{{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^8}+\frac{b^4}{e^4}-\frac{4\,b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^3\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}+\frac{6\,b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}-\frac{4\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^6}}+\frac{\frac{\left(2\,A\,a\,e+2\,A\,b\,d\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{e^2\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}+\frac{\left(2\,A\,a\,e+2\,A\,b\,d\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{b\,e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^3}-\frac{8\,A\,\sqrt{a}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}+\frac{b^2}{e^2}-\frac{2\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}-\frac{2\,A\,\mathrm{atanh}\left(\frac{\sqrt{e}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}\right)\,\left(a\,e-b\,d\right)}{b^{3/2}\,\sqrt{e}}+\frac{B\,\mathrm{atanh}\left(\frac{\sqrt{e}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}\right)\,\left(a\,e-b\,d\right)\,\left(3\,a\,e+b\,d\right)}{2\,b^{5/2}\,e^{3/2}}","Not used",1,"((((a + b*x)^(1/2) - a^(1/2))^3*((11*B*a^2*e^2)/2 + (7*B*b^2*d^2)/2 + 23*B*a*b*d*e))/(e^4*((d + e*x)^(1/2) - d^(1/2))^3) + (((a + b*x)^(1/2) - a^(1/2))*((B*b^3*d^2)/2 - (3*B*a^2*b*e^2)/2 + B*a*b^2*d*e))/(e^5*((d + e*x)^(1/2) - d^(1/2))) + (((a + b*x)^(1/2) - a^(1/2))^7*((B*b^2*d^2)/2 - (3*B*a^2*e^2)/2 + B*a*b*d*e))/(b^2*e^2*((d + e*x)^(1/2) - d^(1/2))^7) + (((a + b*x)^(1/2) - a^(1/2))^5*((11*B*a^2*e^2)/2 + (7*B*b^2*d^2)/2 + 23*B*a*b*d*e))/(b*e^3*((d + e*x)^(1/2) - d^(1/2))^5) - (a^(1/2)*d^(1/2)*(32*B*a*e + 16*B*b*d)*((a + b*x)^(1/2) - a^(1/2))^4)/(e^3*((d + e*x)^(1/2) - d^(1/2))^4) - (8*B*a^(1/2)*d^(3/2)*((a + b*x)^(1/2) - a^(1/2))^6)/(e^2*((d + e*x)^(1/2) - d^(1/2))^6) - (8*B*a^(1/2)*b^2*d^(3/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(e^4*((d + e*x)^(1/2) - d^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^8/((d + e*x)^(1/2) - d^(1/2))^8 + b^4/e^4 - (4*b^3*((a + b*x)^(1/2) - a^(1/2))^2)/(e^3*((d + e*x)^(1/2) - d^(1/2))^2) + (6*b^2*((a + b*x)^(1/2) - a^(1/2))^4)/(e^2*((d + e*x)^(1/2) - d^(1/2))^4) - (4*b*((a + b*x)^(1/2) - a^(1/2))^6)/(e*((d + e*x)^(1/2) - d^(1/2))^6)) + (((2*A*a*e + 2*A*b*d)*((a + b*x)^(1/2) - a^(1/2)))/(e^2*((d + e*x)^(1/2) - d^(1/2))) + ((2*A*a*e + 2*A*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(b*e*((d + e*x)^(1/2) - d^(1/2))^3) - (8*A*a^(1/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(e*((d + e*x)^(1/2) - d^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^4/((d + e*x)^(1/2) - d^(1/2))^4 + b^2/e^2 - (2*b*((a + b*x)^(1/2) - a^(1/2))^2)/(e*((d + e*x)^(1/2) - d^(1/2))^2)) - (2*A*atanh((e^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((d + e*x)^(1/2) - d^(1/2))))*(a*e - b*d))/(b^(3/2)*e^(1/2)) + (B*atanh((e^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((d + e*x)^(1/2) - d^(1/2))))*(a*e - b*d)*(3*a*e + b*d))/(2*b^(5/2)*e^(3/2))","B"
2239,1,311,84,5.422349,"\text{Not used}","int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(1/2)),x)","\frac{\frac{\left(2\,B\,a\,e+2\,B\,b\,d\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{e^3\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}+\frac{\left(2\,B\,a\,e+2\,B\,b\,d\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{b\,e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^3}-\frac{8\,B\,\sqrt{a}\,\sqrt{d}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e^2\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^4}+\frac{b^2}{e^2}-\frac{2\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{e\,{\left(\sqrt{d+e\,x}-\sqrt{d}\right)}^2}}-\frac{4\,A\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}{\sqrt{-b\,e}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{-b\,e}}-\frac{2\,B\,\mathrm{atanh}\left(\frac{\sqrt{e}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{d+e\,x}-\sqrt{d}\right)}\right)\,\left(a\,e+b\,d\right)}{b^{3/2}\,e^{3/2}}","Not used",1,"(((2*B*a*e + 2*B*b*d)*((a + b*x)^(1/2) - a^(1/2)))/(e^3*((d + e*x)^(1/2) - d^(1/2))) + ((2*B*a*e + 2*B*b*d)*((a + b*x)^(1/2) - a^(1/2))^3)/(b*e^2*((d + e*x)^(1/2) - d^(1/2))^3) - (8*B*a^(1/2)*d^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(e^2*((d + e*x)^(1/2) - d^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^4/((d + e*x)^(1/2) - d^(1/2))^4 + b^2/e^2 - (2*b*((a + b*x)^(1/2) - a^(1/2))^2)/(e*((d + e*x)^(1/2) - d^(1/2))^2)) - (4*A*atan((b*((d + e*x)^(1/2) - d^(1/2)))/((-b*e)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(-b*e)^(1/2) - (2*B*atanh((e^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((d + e*x)^(1/2) - d^(1/2))))*(a*e + b*d))/(b^(3/2)*e^(3/2))","B"
2240,0,-1,85,0.000000,"\text{Not used}","int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{a+b\,x}\,{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(3/2)), x)","F"
2241,1,169,94,2.038905,"\text{Not used}","int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(5/2)),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x\,\left(6\,A\,b^2\,d-6\,B\,a^2\,e+2\,A\,a\,b\,e-2\,B\,a\,b\,d\right)}{3\,e^2\,{\left(a\,e-b\,d\right)}^2}-\frac{2\,A\,a^2\,e+4\,B\,a^2\,d-6\,A\,a\,b\,d}{3\,e^2\,{\left(a\,e-b\,d\right)}^2}+\frac{x^2\,\left(4\,A\,b^2\,e+2\,B\,b^2\,d-6\,B\,a\,b\,e\right)}{3\,e^2\,{\left(a\,e-b\,d\right)}^2}\right)}{x^2\,\sqrt{a+b\,x}+\frac{d^2\,\sqrt{a+b\,x}}{e^2}+\frac{2\,d\,x\,\sqrt{a+b\,x}}{e}}","Not used",1,"((d + e*x)^(1/2)*((x*(6*A*b^2*d - 6*B*a^2*e + 2*A*a*b*e - 2*B*a*b*d))/(3*e^2*(a*e - b*d)^2) - (2*A*a^2*e + 4*B*a^2*d - 6*A*a*b*d)/(3*e^2*(a*e - b*d)^2) + (x^2*(4*A*b^2*e + 2*B*b^2*d - 6*B*a*b*e))/(3*e^2*(a*e - b*d)^2)))/(x^2*(a + b*x)^(1/2) + (d^2*(a + b*x)^(1/2))/e^2 + (2*d*x*(a + b*x)^(1/2))/e)","B"
2242,1,283,145,2.251540,"\text{Not used}","int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(7/2)),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{4\,B\,a^3\,d\,e+6\,A\,a^3\,e^2-20\,B\,a^2\,b\,d^2-20\,A\,a^2\,b\,d\,e+30\,A\,a\,b^2\,d^2}{15\,e^3\,{\left(a\,e-b\,d\right)}^3}+\frac{x\,\left(10\,B\,a^3\,e^2-48\,B\,a^2\,b\,d\,e-2\,A\,a^2\,b\,e^2-10\,B\,a\,b^2\,d^2+20\,A\,a\,b^2\,d\,e+30\,A\,b^3\,d^2\right)}{15\,e^3\,{\left(a\,e-b\,d\right)}^3}+\frac{4\,b^2\,x^3\,\left(4\,A\,b\,e-5\,B\,a\,e+B\,b\,d\right)}{15\,e^2\,{\left(a\,e-b\,d\right)}^3}+\frac{2\,b\,x^2\,\left(a\,e+5\,b\,d\right)\,\left(4\,A\,b\,e-5\,B\,a\,e+B\,b\,d\right)}{15\,e^3\,{\left(a\,e-b\,d\right)}^3}\right)}{x^3\,\sqrt{a+b\,x}+\frac{d^3\,\sqrt{a+b\,x}}{e^3}+\frac{3\,d\,x^2\,\sqrt{a+b\,x}}{e}+\frac{3\,d^2\,x\,\sqrt{a+b\,x}}{e^2}}","Not used",1,"-((d + e*x)^(1/2)*((6*A*a^3*e^2 + 4*B*a^3*d*e + 30*A*a*b^2*d^2 - 20*B*a^2*b*d^2 - 20*A*a^2*b*d*e)/(15*e^3*(a*e - b*d)^3) + (x*(30*A*b^3*d^2 + 10*B*a^3*e^2 - 2*A*a^2*b*e^2 - 10*B*a*b^2*d^2 + 20*A*a*b^2*d*e - 48*B*a^2*b*d*e))/(15*e^3*(a*e - b*d)^3) + (4*b^2*x^3*(4*A*b*e - 5*B*a*e + B*b*d))/(15*e^2*(a*e - b*d)^3) + (2*b*x^2*(a*e + 5*b*d)*(4*A*b*e - 5*B*a*e + B*b*d))/(15*e^3*(a*e - b*d)^3)))/(x^3*(a + b*x)^(1/2) + (d^3*(a + b*x)^(1/2))/e^3 + (3*d*x^2*(a + b*x)^(1/2))/e + (3*d^2*x*(a + b*x)^(1/2))/e^2)","B"
2243,1,419,198,2.489367,"\text{Not used}","int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(9/2)),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{x\,\left(-42\,B\,a^4\,e^3+190\,B\,a^3\,b\,d\,e^2+6\,A\,a^3\,b\,e^3-462\,B\,a^2\,b^2\,d^2\,e-42\,A\,a^2\,b^2\,d\,e^2-70\,B\,a\,b^3\,d^3+210\,A\,a\,b^3\,d^2\,e+210\,A\,b^4\,d^3\right)}{105\,e^4\,{\left(a\,e-b\,d\right)}^4}-\frac{12\,B\,a^4\,d\,e^2+30\,A\,a^4\,e^3-56\,B\,a^3\,b\,d^2\,e-126\,A\,a^3\,b\,d\,e^2+140\,B\,a^2\,b^2\,d^3+210\,A\,a^2\,b^2\,d^2\,e-210\,A\,a\,b^3\,d^3}{105\,e^4\,{\left(a\,e-b\,d\right)}^4}+\frac{16\,b^3\,x^4\,\left(6\,A\,b\,e-7\,B\,a\,e+B\,b\,d\right)}{105\,e^2\,{\left(a\,e-b\,d\right)}^4}+\frac{8\,b^2\,x^3\,\left(a\,e+7\,b\,d\right)\,\left(6\,A\,b\,e-7\,B\,a\,e+B\,b\,d\right)}{105\,e^3\,{\left(a\,e-b\,d\right)}^4}+\frac{2\,b\,x^2\,\left(-a^2\,e^2+14\,a\,b\,d\,e+35\,b^2\,d^2\right)\,\left(6\,A\,b\,e-7\,B\,a\,e+B\,b\,d\right)}{105\,e^4\,{\left(a\,e-b\,d\right)}^4}\right)}{x^4\,\sqrt{a+b\,x}+\frac{d^4\,\sqrt{a+b\,x}}{e^4}+\frac{6\,d^2\,x^2\,\sqrt{a+b\,x}}{e^2}+\frac{4\,d\,x^3\,\sqrt{a+b\,x}}{e}+\frac{4\,d^3\,x\,\sqrt{a+b\,x}}{e^3}}","Not used",1,"((d + e*x)^(1/2)*((x*(210*A*b^4*d^3 - 42*B*a^4*e^3 + 6*A*a^3*b*e^3 - 70*B*a*b^3*d^3 - 42*A*a^2*b^2*d*e^2 - 462*B*a^2*b^2*d^2*e + 210*A*a*b^3*d^2*e + 190*B*a^3*b*d*e^2))/(105*e^4*(a*e - b*d)^4) - (30*A*a^4*e^3 - 210*A*a*b^3*d^3 + 12*B*a^4*d*e^2 + 140*B*a^2*b^2*d^3 + 210*A*a^2*b^2*d^2*e - 126*A*a^3*b*d*e^2 - 56*B*a^3*b*d^2*e)/(105*e^4*(a*e - b*d)^4) + (16*b^3*x^4*(6*A*b*e - 7*B*a*e + B*b*d))/(105*e^2*(a*e - b*d)^4) + (8*b^2*x^3*(a*e + 7*b*d)*(6*A*b*e - 7*B*a*e + B*b*d))/(105*e^3*(a*e - b*d)^4) + (2*b*x^2*(35*b^2*d^2 - a^2*e^2 + 14*a*b*d*e)*(6*A*b*e - 7*B*a*e + B*b*d))/(105*e^4*(a*e - b*d)^4)))/(x^4*(a + b*x)^(1/2) + (d^4*(a + b*x)^(1/2))/e^4 + (6*d^2*x^2*(a + b*x)^(1/2))/e^2 + (4*d*x^3*(a + b*x)^(1/2))/e + (4*d^3*x*(a + b*x)^(1/2))/e^3)","B"
2244,1,570,251,2.750553,"\text{Not used}","int((A + B*x)/((a + b*x)^(1/2)*(d + e*x)^(11/2)),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{20\,B\,a^5\,d\,e^3+70\,A\,a^5\,e^4-108\,B\,a^4\,b\,d^2\,e^2-360\,A\,a^4\,b\,d\,e^3+252\,B\,a^3\,b^2\,d^3\,e+756\,A\,a^3\,b^2\,d^2\,e^2-420\,B\,a^2\,b^3\,d^4-840\,A\,a^2\,b^3\,d^3\,e+630\,A\,a\,b^4\,d^4}{315\,e^5\,{\left(a\,e-b\,d\right)}^5}+\frac{x\,\left(90\,B\,a^5\,e^4-476\,B\,a^4\,b\,d\,e^3-10\,A\,a^4\,b\,e^4+1080\,B\,a^3\,b^2\,d^2\,e^2+72\,A\,a^3\,b^2\,d\,e^3-1764\,B\,a^2\,b^3\,d^3\,e-252\,A\,a^2\,b^3\,d^2\,e^2-210\,B\,a\,b^4\,d^4+840\,A\,a\,b^4\,d^3\,e+630\,A\,b^5\,d^4\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^5}+\frac{32\,b^4\,x^5\,\left(8\,A\,b\,e-9\,B\,a\,e+B\,b\,d\right)}{315\,e^2\,{\left(a\,e-b\,d\right)}^5}+\frac{16\,b^3\,x^4\,\left(a\,e+9\,b\,d\right)\,\left(8\,A\,b\,e-9\,B\,a\,e+B\,b\,d\right)}{315\,e^3\,{\left(a\,e-b\,d\right)}^5}+\frac{4\,b^2\,x^3\,\left(-a^2\,e^2+18\,a\,b\,d\,e+63\,b^2\,d^2\right)\,\left(8\,A\,b\,e-9\,B\,a\,e+B\,b\,d\right)}{315\,e^4\,{\left(a\,e-b\,d\right)}^5}+\frac{2\,b\,x^2\,\left(8\,A\,b\,e-9\,B\,a\,e+B\,b\,d\right)\,\left(a^3\,e^3-9\,a^2\,b\,d\,e^2+63\,a\,b^2\,d^2\,e+105\,b^3\,d^3\right)}{315\,e^5\,{\left(a\,e-b\,d\right)}^5}\right)}{x^5\,\sqrt{a+b\,x}+\frac{d^5\,\sqrt{a+b\,x}}{e^5}+\frac{10\,d^2\,x^3\,\sqrt{a+b\,x}}{e^2}+\frac{10\,d^3\,x^2\,\sqrt{a+b\,x}}{e^3}+\frac{5\,d\,x^4\,\sqrt{a+b\,x}}{e}+\frac{5\,d^4\,x\,\sqrt{a+b\,x}}{e^4}}","Not used",1,"-((d + e*x)^(1/2)*((70*A*a^5*e^4 + 630*A*a*b^4*d^4 + 20*B*a^5*d*e^3 - 420*B*a^2*b^3*d^4 - 840*A*a^2*b^3*d^3*e + 252*B*a^3*b^2*d^3*e - 108*B*a^4*b*d^2*e^2 + 756*A*a^3*b^2*d^2*e^2 - 360*A*a^4*b*d*e^3)/(315*e^5*(a*e - b*d)^5) + (x*(630*A*b^5*d^4 + 90*B*a^5*e^4 - 10*A*a^4*b*e^4 - 210*B*a*b^4*d^4 + 72*A*a^3*b^2*d*e^3 - 1764*B*a^2*b^3*d^3*e - 252*A*a^2*b^3*d^2*e^2 + 1080*B*a^3*b^2*d^2*e^2 + 840*A*a*b^4*d^3*e - 476*B*a^4*b*d*e^3))/(315*e^5*(a*e - b*d)^5) + (32*b^4*x^5*(8*A*b*e - 9*B*a*e + B*b*d))/(315*e^2*(a*e - b*d)^5) + (16*b^3*x^4*(a*e + 9*b*d)*(8*A*b*e - 9*B*a*e + B*b*d))/(315*e^3*(a*e - b*d)^5) + (4*b^2*x^3*(63*b^2*d^2 - a^2*e^2 + 18*a*b*d*e)*(8*A*b*e - 9*B*a*e + B*b*d))/(315*e^4*(a*e - b*d)^5) + (2*b*x^2*(8*A*b*e - 9*B*a*e + B*b*d)*(a^3*e^3 + 105*b^3*d^3 + 63*a*b^2*d^2*e - 9*a^2*b*d*e^2))/(315*e^5*(a*e - b*d)^5)))/(x^5*(a + b*x)^(1/2) + (d^5*(a + b*x)^(1/2))/e^5 + (10*d^2*x^3*(a + b*x)^(1/2))/e^2 + (10*d^3*x^2*(a + b*x)^(1/2))/e^3 + (5*d*x^4*(a + b*x)^(1/2))/e + (5*d^4*x*(a + b*x)^(1/2))/e^4)","B"
2245,0,-1,249,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(3/2), x)","F"
2246,0,-1,199,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(3/2), x)","F"
2247,0,-1,145,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^(3/2), x)","F"
2248,0,-1,85,0.000000,"\text{Not used}","int((A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{{\left(a+b\,x\right)}^{3/2}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(1/2)), x)","F"
2249,1,96,89,1.995601,"\text{Not used}","int((A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(3/2)),x)","-\frac{\left(\frac{2\,A\,a\,e+2\,A\,b\,d-4\,B\,a\,d}{e\,{\left(a\,e-b\,d\right)}^2}-\frac{x\,\left(2\,B\,a\,e-4\,A\,b\,e+2\,B\,b\,d\right)}{e\,{\left(a\,e-b\,d\right)}^2}\right)\,\sqrt{d+e\,x}}{x\,\sqrt{a+b\,x}+\frac{d\,\sqrt{a+b\,x}}{e}}","Not used",1,"-(((2*A*a*e + 2*A*b*d - 4*B*a*d)/(e*(a*e - b*d)^2) - (x*(2*B*a*e - 4*A*b*e + 2*B*b*d))/(e*(a*e - b*d)^2))*(d + e*x)^(1/2))/(x*(a + b*x)^(1/2) + (d*(a + b*x)^(1/2))/e)","B"
2250,1,182,139,2.202309,"\text{Not used}","int((A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(5/2)),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{4\,B\,a^2\,d\,e+2\,A\,a^2\,e^2+12\,B\,a\,b\,d^2-12\,A\,a\,b\,d\,e-6\,A\,b^2\,d^2}{3\,e^2\,{\left(a\,e-b\,d\right)}^3}+\frac{2\,x\,\left(a\,e+3\,b\,d\right)\,\left(3\,B\,a\,e-4\,A\,b\,e+B\,b\,d\right)}{3\,e^2\,{\left(a\,e-b\,d\right)}^3}+\frac{4\,b\,x^2\,\left(3\,B\,a\,e-4\,A\,b\,e+B\,b\,d\right)}{3\,e\,{\left(a\,e-b\,d\right)}^3}\right)}{x^2\,\sqrt{a+b\,x}+\frac{d^2\,\sqrt{a+b\,x}}{e^2}+\frac{2\,d\,x\,\sqrt{a+b\,x}}{e}}","Not used",1,"-((d + e*x)^(1/2)*((2*A*a^2*e^2 - 6*A*b^2*d^2 + 12*B*a*b*d^2 + 4*B*a^2*d*e - 12*A*a*b*d*e)/(3*e^2*(a*e - b*d)^3) + (2*x*(a*e + 3*b*d)*(3*B*a*e - 4*A*b*e + B*b*d))/(3*e^2*(a*e - b*d)^3) + (4*b*x^2*(3*B*a*e - 4*A*b*e + B*b*d))/(3*e*(a*e - b*d)^3)))/(x^2*(a + b*x)^(1/2) + (d^2*(a + b*x)^(1/2))/e^2 + (2*d*x*(a + b*x)^(1/2))/e)","B"
2251,1,288,187,2.462598,"\text{Not used}","int((A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(7/2)),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{2\,x\,\left(-a^2\,e^2+10\,a\,b\,d\,e+15\,b^2\,d^2\right)\,\left(5\,B\,a\,e-6\,A\,b\,e+B\,b\,d\right)}{15\,e^3\,{\left(a\,e-b\,d\right)}^4}-\frac{4\,B\,a^3\,d\,e^2+6\,A\,a^3\,e^3-40\,B\,a^2\,b\,d^2\,e-30\,A\,a^2\,b\,d\,e^2-60\,B\,a\,b^2\,d^3+90\,A\,a\,b^2\,d^2\,e+30\,A\,b^3\,d^3}{15\,e^3\,{\left(a\,e-b\,d\right)}^4}+\frac{16\,b^2\,x^3\,\left(5\,B\,a\,e-6\,A\,b\,e+B\,b\,d\right)}{15\,e\,{\left(a\,e-b\,d\right)}^4}+\frac{8\,b\,x^2\,\left(a\,e+5\,b\,d\right)\,\left(5\,B\,a\,e-6\,A\,b\,e+B\,b\,d\right)}{15\,e^2\,{\left(a\,e-b\,d\right)}^4}\right)}{x^3\,\sqrt{a+b\,x}+\frac{d^3\,\sqrt{a+b\,x}}{e^3}+\frac{3\,d\,x^2\,\sqrt{a+b\,x}}{e}+\frac{3\,d^2\,x\,\sqrt{a+b\,x}}{e^2}}","Not used",1,"((d + e*x)^(1/2)*((2*x*(15*b^2*d^2 - a^2*e^2 + 10*a*b*d*e)*(5*B*a*e - 6*A*b*e + B*b*d))/(15*e^3*(a*e - b*d)^4) - (6*A*a^3*e^3 + 30*A*b^3*d^3 - 60*B*a*b^2*d^3 + 4*B*a^3*d*e^2 + 90*A*a*b^2*d^2*e - 30*A*a^2*b*d*e^2 - 40*B*a^2*b*d^2*e)/(15*e^3*(a*e - b*d)^4) + (16*b^2*x^3*(5*B*a*e - 6*A*b*e + B*b*d))/(15*e*(a*e - b*d)^4) + (8*b*x^2*(a*e + 5*b*d)*(5*B*a*e - 6*A*b*e + B*b*d))/(15*e^2*(a*e - b*d)^4)))/(x^3*(a + b*x)^(1/2) + (d^3*(a + b*x)^(1/2))/e^3 + (3*d*x^2*(a + b*x)^(1/2))/e + (3*d^2*x*(a + b*x)^(1/2))/e^2)","B"
2252,1,409,237,2.681202,"\text{Not used}","int((A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(9/2)),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{4\,B\,a^4\,d\,e^3+10\,A\,a^4\,e^4-28\,B\,a^3\,b\,d^2\,e^2-56\,A\,a^3\,b\,d\,e^3+140\,B\,a^2\,b^2\,d^3\,e+140\,A\,a^2\,b^2\,d^2\,e^2+140\,B\,a\,b^3\,d^4-280\,A\,a\,b^3\,d^3\,e-70\,A\,b^4\,d^4}{35\,e^4\,{\left(a\,e-b\,d\right)}^5}+\frac{32\,b^3\,x^4\,\left(7\,B\,a\,e-8\,A\,b\,e+B\,b\,d\right)}{35\,e\,{\left(a\,e-b\,d\right)}^5}+\frac{2\,x\,\left(7\,B\,a\,e-8\,A\,b\,e+B\,b\,d\right)\,\left(a^3\,e^3-7\,a^2\,b\,d\,e^2+35\,a\,b^2\,d^2\,e+35\,b^3\,d^3\right)}{35\,e^4\,{\left(a\,e-b\,d\right)}^5}+\frac{16\,b^2\,x^3\,\left(a\,e+7\,b\,d\right)\,\left(7\,B\,a\,e-8\,A\,b\,e+B\,b\,d\right)}{35\,e^2\,{\left(a\,e-b\,d\right)}^5}+\frac{4\,b\,x^2\,\left(-a^2\,e^2+14\,a\,b\,d\,e+35\,b^2\,d^2\right)\,\left(7\,B\,a\,e-8\,A\,b\,e+B\,b\,d\right)}{35\,e^3\,{\left(a\,e-b\,d\right)}^5}\right)}{x^4\,\sqrt{a+b\,x}+\frac{d^4\,\sqrt{a+b\,x}}{e^4}+\frac{6\,d^2\,x^2\,\sqrt{a+b\,x}}{e^2}+\frac{4\,d\,x^3\,\sqrt{a+b\,x}}{e}+\frac{4\,d^3\,x\,\sqrt{a+b\,x}}{e^3}}","Not used",1,"-((d + e*x)^(1/2)*((10*A*a^4*e^4 - 70*A*b^4*d^4 + 140*B*a*b^3*d^4 + 4*B*a^4*d*e^3 + 140*B*a^2*b^2*d^3*e - 28*B*a^3*b*d^2*e^2 + 140*A*a^2*b^2*d^2*e^2 - 280*A*a*b^3*d^3*e - 56*A*a^3*b*d*e^3)/(35*e^4*(a*e - b*d)^5) + (32*b^3*x^4*(7*B*a*e - 8*A*b*e + B*b*d))/(35*e*(a*e - b*d)^5) + (2*x*(7*B*a*e - 8*A*b*e + B*b*d)*(a^3*e^3 + 35*b^3*d^3 + 35*a*b^2*d^2*e - 7*a^2*b*d*e^2))/(35*e^4*(a*e - b*d)^5) + (16*b^2*x^3*(a*e + 7*b*d)*(7*B*a*e - 8*A*b*e + B*b*d))/(35*e^2*(a*e - b*d)^5) + (4*b*x^2*(35*b^2*d^2 - a^2*e^2 + 14*a*b*d*e)*(7*B*a*e - 8*A*b*e + B*b*d))/(35*e^3*(a*e - b*d)^5)))/(x^4*(a + b*x)^(1/2) + (d^4*(a + b*x)^(1/2))/e^4 + (6*d^2*x^2*(a + b*x)^(1/2))/e^2 + (4*d*x^3*(a + b*x)^(1/2))/e + (4*d^3*x*(a + b*x)^(1/2))/e^3)","B"
2253,0,-1,302,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^(5/2), x)","F"
2254,0,-1,257,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(5/2), x)","F"
2255,0,-1,201,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(5/2), x)","F"
2256,0,-1,111,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x)^(5/2), x)","F"
2257,1,97,95,2.016264,"\text{Not used}","int((A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(1/2)),x)","-\frac{\left(\frac{2\,A\,b\,d-6\,A\,a\,e+4\,B\,a\,d}{3\,b\,{\left(a\,e-b\,d\right)}^2}-\frac{x\,\left(4\,A\,b\,e+2\,B\,a\,e-6\,B\,b\,d\right)}{3\,b\,{\left(a\,e-b\,d\right)}^2}\right)\,\sqrt{d+e\,x}}{x\,\sqrt{a+b\,x}+\frac{a\,\sqrt{a+b\,x}}{b}}","Not used",1,"-(((2*A*b*d - 6*A*a*e + 4*B*a*d)/(3*b*(a*e - b*d)^2) - (x*(4*A*b*e + 2*B*a*e - 6*B*b*d))/(3*b*(a*e - b*d)^2))*(d + e*x)^(1/2))/(x*(a + b*x)^(1/2) + (a*(a + b*x)^(1/2))/b)","B"
2258,1,193,139,2.257266,"\text{Not used}","int((A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(3/2)),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{4\,x^2\,\left(B\,a\,e-4\,A\,b\,e+3\,B\,b\,d\right)}{3\,{\left(a\,e-b\,d\right)}^3}+\frac{12\,B\,a^2\,d\,e-6\,A\,a^2\,e^2+4\,B\,a\,b\,d^2-12\,A\,a\,b\,d\,e+2\,A\,b^2\,d^2}{3\,b\,e\,{\left(a\,e-b\,d\right)}^3}+\frac{2\,x\,\left(3\,a\,e+b\,d\right)\,\left(B\,a\,e-4\,A\,b\,e+3\,B\,b\,d\right)}{3\,b\,e\,{\left(a\,e-b\,d\right)}^3}\right)}{x^2\,\sqrt{a+b\,x}+\frac{a\,d\,\sqrt{a+b\,x}}{b\,e}+\frac{x\,\left(a\,e+b\,d\right)\,\sqrt{a+b\,x}}{b\,e}}","Not used",1,"((d + e*x)^(1/2)*((4*x^2*(B*a*e - 4*A*b*e + 3*B*b*d))/(3*(a*e - b*d)^3) + (2*A*b^2*d^2 - 6*A*a^2*e^2 + 4*B*a*b*d^2 + 12*B*a^2*d*e - 12*A*a*b*d*e)/(3*b*e*(a*e - b*d)^3) + (2*x*(3*a*e + b*d)*(B*a*e - 4*A*b*e + 3*B*b*d))/(3*b*e*(a*e - b*d)^3)))/(x^2*(a + b*x)^(1/2) + (a*d*(a + b*x)^(1/2))/(b*e) + (x*(a*e + b*d)*(a + b*x)^(1/2))/(b*e))","B"
2259,1,304,186,2.500158,"\text{Not used}","int((A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(5/2)),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{16\,b\,x^3\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{3\,{\left(a\,e-b\,d\right)}^4}+\frac{4\,B\,a^3\,d\,e^2+2\,A\,a^3\,e^3+24\,B\,a^2\,b\,d^2\,e-18\,A\,a^2\,b\,d\,e^2+4\,B\,a\,b^2\,d^3-18\,A\,a\,b^2\,d^2\,e+2\,A\,b^3\,d^3}{3\,b\,e^2\,{\left(a\,e-b\,d\right)}^4}+\frac{8\,x^2\,\left(a\,e+b\,d\right)\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{e\,{\left(a\,e-b\,d\right)}^4}+\frac{2\,x\,\left(a^2\,e^2+6\,a\,b\,d\,e+b^2\,d^2\right)\,\left(B\,a\,e-2\,A\,b\,e+B\,b\,d\right)}{b\,e^2\,{\left(a\,e-b\,d\right)}^4}\right)}{x^3\,\sqrt{a+b\,x}+\frac{a\,d^2\,\sqrt{a+b\,x}}{b\,e^2}+\frac{x^2\,\left(a\,e+2\,b\,d\right)\,\sqrt{a+b\,x}}{b\,e}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{a+b\,x}}{b\,e^2}}","Not used",1,"-((d + e*x)^(1/2)*((16*b*x^3*(B*a*e - 2*A*b*e + B*b*d))/(3*(a*e - b*d)^4) + (2*A*a^3*e^3 + 2*A*b^3*d^3 + 4*B*a*b^2*d^3 + 4*B*a^3*d*e^2 - 18*A*a*b^2*d^2*e - 18*A*a^2*b*d*e^2 + 24*B*a^2*b*d^2*e)/(3*b*e^2*(a*e - b*d)^4) + (8*x^2*(a*e + b*d)*(B*a*e - 2*A*b*e + B*b*d))/(e*(a*e - b*d)^4) + (2*x*(a^2*e^2 + b^2*d^2 + 6*a*b*d*e)*(B*a*e - 2*A*b*e + B*b*d))/(b*e^2*(a*e - b*d)^4)))/(x^3*(a + b*x)^(1/2) + (a*d^2*(a + b*x)^(1/2))/(b*e^2) + (x^2*(a*e + 2*b*d)*(a + b*x)^(1/2))/(b*e) + (d*x*(2*a*e + b*d)*(a + b*x)^(1/2))/(b*e^2))","B"
2260,1,444,246,2.807608,"\text{Not used}","int((A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(7/2)),x)","\frac{\sqrt{d+e\,x}\,\left(\frac{32\,b^2\,x^4\,\left(5\,B\,a\,e-8\,A\,b\,e+3\,B\,b\,d\right)}{15\,{\left(a\,e-b\,d\right)}^5}+\frac{-4\,B\,a^4\,d\,e^3-6\,A\,a^4\,e^4+60\,B\,a^3\,b\,d^2\,e^2+40\,A\,a^3\,b\,d\,e^3+180\,B\,a^2\,b^2\,d^3\,e-180\,A\,a^2\,b^2\,d^2\,e^2+20\,B\,a\,b^3\,d^4-120\,A\,a\,b^3\,d^3\,e+10\,A\,b^4\,d^4}{15\,b\,e^3\,{\left(a\,e-b\,d\right)}^5}+\frac{4\,x^2\,\left(a^2\,e^2+10\,a\,b\,d\,e+5\,b^2\,d^2\right)\,\left(5\,B\,a\,e-8\,A\,b\,e+3\,B\,b\,d\right)}{5\,e^2\,{\left(a\,e-b\,d\right)}^5}+\frac{2\,x\,\left(5\,B\,a\,e-8\,A\,b\,e+3\,B\,b\,d\right)\,\left(-a^3\,e^3+15\,a^2\,b\,d\,e^2+45\,a\,b^2\,d^2\,e+5\,b^3\,d^3\right)}{15\,b\,e^3\,{\left(a\,e-b\,d\right)}^5}+\frac{16\,b\,x^3\,\left(3\,a\,e+5\,b\,d\right)\,\left(5\,B\,a\,e-8\,A\,b\,e+3\,B\,b\,d\right)}{15\,e\,{\left(a\,e-b\,d\right)}^5}\right)}{x^4\,\sqrt{a+b\,x}+\frac{a\,d^3\,\sqrt{a+b\,x}}{b\,e^3}+\frac{x^3\,\left(a\,e+3\,b\,d\right)\,\sqrt{a+b\,x}}{b\,e}+\frac{3\,d\,x^2\,\left(a\,e+b\,d\right)\,\sqrt{a+b\,x}}{b\,e^2}+\frac{d^2\,x\,\left(3\,a\,e+b\,d\right)\,\sqrt{a+b\,x}}{b\,e^3}}","Not used",1,"((d + e*x)^(1/2)*((32*b^2*x^4*(5*B*a*e - 8*A*b*e + 3*B*b*d))/(15*(a*e - b*d)^5) + (10*A*b^4*d^4 - 6*A*a^4*e^4 + 20*B*a*b^3*d^4 - 4*B*a^4*d*e^3 + 180*B*a^2*b^2*d^3*e + 60*B*a^3*b*d^2*e^2 - 180*A*a^2*b^2*d^2*e^2 - 120*A*a*b^3*d^3*e + 40*A*a^3*b*d*e^3)/(15*b*e^3*(a*e - b*d)^5) + (4*x^2*(a^2*e^2 + 5*b^2*d^2 + 10*a*b*d*e)*(5*B*a*e - 8*A*b*e + 3*B*b*d))/(5*e^2*(a*e - b*d)^5) + (2*x*(5*B*a*e - 8*A*b*e + 3*B*b*d)*(5*b^3*d^3 - a^3*e^3 + 45*a*b^2*d^2*e + 15*a^2*b*d*e^2))/(15*b*e^3*(a*e - b*d)^5) + (16*b*x^3*(3*a*e + 5*b*d)*(5*B*a*e - 8*A*b*e + 3*B*b*d))/(15*e*(a*e - b*d)^5)))/(x^4*(a + b*x)^(1/2) + (a*d^3*(a + b*x)^(1/2))/(b*e^3) + (x^3*(a*e + 3*b*d)*(a + b*x)^(1/2))/(b*e) + (3*d*x^2*(a*e + b*d)*(a + b*x)^(1/2))/(b*e^2) + (d^2*x*(3*a*e + b*d)*(a + b*x)^(1/2))/(b*e^3))","B"
2261,1,596,298,3.232472,"\text{Not used}","int((A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(9/2)),x)","-\frac{\sqrt{d+e\,x}\,\left(\frac{12\,B\,a^5\,d\,e^4+30\,A\,a^5\,e^5-112\,B\,a^4\,b\,d^2\,e^3-210\,A\,a^4\,b\,d\,e^4+840\,B\,a^3\,b^2\,d^3\,e^2+700\,A\,a^3\,b^2\,d^2\,e^3+1680\,B\,a^2\,b^3\,d^4\,e-2100\,A\,a^2\,b^3\,d^3\,e^2+140\,B\,a\,b^4\,d^5-1050\,A\,a\,b^4\,d^4\,e+70\,A\,b^5\,d^5}{105\,b\,e^4\,{\left(a\,e-b\,d\right)}^6}+\frac{256\,b^3\,x^5\,\left(7\,B\,a\,e-10\,A\,b\,e+3\,B\,b\,d\right)}{105\,{\left(a\,e-b\,d\right)}^6}+\frac{16\,x^2\,\left(7\,B\,a\,e-10\,A\,b\,e+3\,B\,b\,d\right)\,\left(-a^3\,e^3+21\,a^2\,b\,d\,e^2+105\,a\,b^2\,d^2\,e+35\,b^3\,d^3\right)}{105\,e^3\,{\left(a\,e-b\,d\right)}^6}+\frac{128\,b^2\,x^4\,\left(3\,a\,e+7\,b\,d\right)\,\left(7\,B\,a\,e-10\,A\,b\,e+3\,B\,b\,d\right)}{105\,e\,{\left(a\,e-b\,d\right)}^6}+\frac{32\,b\,x^3\,\left(3\,a^2\,e^2+42\,a\,b\,d\,e+35\,b^2\,d^2\right)\,\left(7\,B\,a\,e-10\,A\,b\,e+3\,B\,b\,d\right)}{105\,e^2\,{\left(a\,e-b\,d\right)}^6}+\frac{2\,x\,\left(7\,B\,a\,e-10\,A\,b\,e+3\,B\,b\,d\right)\,\left(3\,a^4\,e^4-28\,a^3\,b\,d\,e^3+210\,a^2\,b^2\,d^2\,e^2+420\,a\,b^3\,d^3\,e+35\,b^4\,d^4\right)}{105\,b\,e^4\,{\left(a\,e-b\,d\right)}^6}\right)}{x^5\,\sqrt{a+b\,x}+\frac{a\,d^4\,\sqrt{a+b\,x}}{b\,e^4}+\frac{x^4\,\left(a\,e+4\,b\,d\right)\,\sqrt{a+b\,x}}{b\,e}+\frac{2\,d\,x^3\,\left(2\,a\,e+3\,b\,d\right)\,\sqrt{a+b\,x}}{b\,e^2}+\frac{d^3\,x\,\left(4\,a\,e+b\,d\right)\,\sqrt{a+b\,x}}{b\,e^4}+\frac{2\,d^2\,x^2\,\left(3\,a\,e+2\,b\,d\right)\,\sqrt{a+b\,x}}{b\,e^3}}","Not used",1,"-((d + e*x)^(1/2)*((30*A*a^5*e^5 + 70*A*b^5*d^5 + 140*B*a*b^4*d^5 + 12*B*a^5*d*e^4 + 1680*B*a^2*b^3*d^4*e - 112*B*a^4*b*d^2*e^3 - 2100*A*a^2*b^3*d^3*e^2 + 700*A*a^3*b^2*d^2*e^3 + 840*B*a^3*b^2*d^3*e^2 - 1050*A*a*b^4*d^4*e - 210*A*a^4*b*d*e^4)/(105*b*e^4*(a*e - b*d)^6) + (256*b^3*x^5*(7*B*a*e - 10*A*b*e + 3*B*b*d))/(105*(a*e - b*d)^6) + (16*x^2*(7*B*a*e - 10*A*b*e + 3*B*b*d)*(35*b^3*d^3 - a^3*e^3 + 105*a*b^2*d^2*e + 21*a^2*b*d*e^2))/(105*e^3*(a*e - b*d)^6) + (128*b^2*x^4*(3*a*e + 7*b*d)*(7*B*a*e - 10*A*b*e + 3*B*b*d))/(105*e*(a*e - b*d)^6) + (32*b*x^3*(3*a^2*e^2 + 35*b^2*d^2 + 42*a*b*d*e)*(7*B*a*e - 10*A*b*e + 3*B*b*d))/(105*e^2*(a*e - b*d)^6) + (2*x*(7*B*a*e - 10*A*b*e + 3*B*b*d)*(3*a^4*e^4 + 35*b^4*d^4 + 210*a^2*b^2*d^2*e^2 + 420*a*b^3*d^3*e - 28*a^3*b*d*e^3))/(105*b*e^4*(a*e - b*d)^6)))/(x^5*(a + b*x)^(1/2) + (a*d^4*(a + b*x)^(1/2))/(b*e^4) + (x^4*(a*e + 4*b*d)*(a + b*x)^(1/2))/(b*e) + (2*d*x^3*(2*a*e + 3*b*d)*(a + b*x)^(1/2))/(b*e^2) + (d^3*x*(4*a*e + b*d)*(a + b*x)^(1/2))/(b*e^4) + (2*d^2*x^2*(3*a*e + 2*b*d)*(a + b*x)^(1/2))/(b*e^3))","B"
2262,1,1056,157,15.542289,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(1/2),x)","\frac{4122385421\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{256000000}-\frac{\frac{2152576553931\,{\left(\sqrt{1-2\,x}-1\right)}^5}{2441406250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{13952215351\,{\left(\sqrt{1-2\,x}-1\right)}^3}{244140625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{792814579\,\left(\sqrt{1-2\,x}-1\right)}{3051757812500\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{3076029438827\,{\left(\sqrt{1-2\,x}-1\right)}^7}{976562500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{11028639133187\,{\left(\sqrt{1-2\,x}-1\right)}^9}{195312500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{3093660904217\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{15625000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{3093660904217\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{6250000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{11028639133187\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{12500000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{3076029438827\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{10000000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}-\frac{2152576553931\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{4000000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}+\frac{13952215351\,{\left(\sqrt{1-2\,x}-1\right)}^{21}}{64000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{21}}+\frac{792814579\,{\left(\sqrt{1-2\,x}-1\right)}^{23}}{128000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{23}}+\frac{2228224\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{5308416\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{389513216\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{4601470976\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{1286299648\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{5601267712\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{321574912\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{287591936\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}-\frac{6086144\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{20736\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{20}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}+\frac{2176\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{22}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{22}}}{\frac{24576\,{\left(\sqrt{1-2\,x}-1\right)}^2}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{67584\,{\left(\sqrt{1-2\,x}-1\right)}^4}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{22528\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{25344\,{\left(\sqrt{1-2\,x}-1\right)}^8}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{101376\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{59136\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{25344\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{1584\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{352\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{264\,{\left(\sqrt{1-2\,x}-1\right)}^{20}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}+\frac{24\,{\left(\sqrt{1-2\,x}-1\right)}^{22}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{22}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{24}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{24}}+\frac{4096}{244140625}}","Not used",1,"(4122385421*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/256000000 - ((2152576553931*((1 - 2*x)^(1/2) - 1)^5)/(2441406250000*(3^(1/2) - (5*x + 3)^(1/2))^5) - (13952215351*((1 - 2*x)^(1/2) - 1)^3)/(244140625000*(3^(1/2) - (5*x + 3)^(1/2))^3) - (792814579*((1 - 2*x)^(1/2) - 1))/(3051757812500*(3^(1/2) - (5*x + 3)^(1/2))) + (3076029438827*((1 - 2*x)^(1/2) - 1)^7)/(976562500000*(3^(1/2) - (5*x + 3)^(1/2))^7) - (11028639133187*((1 - 2*x)^(1/2) - 1)^9)/(195312500000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (3093660904217*((1 - 2*x)^(1/2) - 1)^11)/(15625000000*(3^(1/2) - (5*x + 3)^(1/2))^11) - (3093660904217*((1 - 2*x)^(1/2) - 1)^13)/(6250000000*(3^(1/2) - (5*x + 3)^(1/2))^13) + (11028639133187*((1 - 2*x)^(1/2) - 1)^15)/(12500000000*(3^(1/2) - (5*x + 3)^(1/2))^15) - (3076029438827*((1 - 2*x)^(1/2) - 1)^17)/(10000000000*(3^(1/2) - (5*x + 3)^(1/2))^17) - (2152576553931*((1 - 2*x)^(1/2) - 1)^19)/(4000000000*(3^(1/2) - (5*x + 3)^(1/2))^19) + (13952215351*((1 - 2*x)^(1/2) - 1)^21)/(64000000*(3^(1/2) - (5*x + 3)^(1/2))^21) + (792814579*((1 - 2*x)^(1/2) - 1)^23)/(128000000*(3^(1/2) - (5*x + 3)^(1/2))^23) + (2228224*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (5308416*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^4) - (389513216*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (4601470976*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (1286299648*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^10) + (5601267712*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^12) + (321574912*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^14) + (287591936*3^(1/2)*((1 - 2*x)^(1/2) - 1)^16)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^16) - (6086144*3^(1/2)*((1 - 2*x)^(1/2) - 1)^18)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^18) + (20736*3^(1/2)*((1 - 2*x)^(1/2) - 1)^20)/(125*(3^(1/2) - (5*x + 3)^(1/2))^20) + (2176*3^(1/2)*((1 - 2*x)^(1/2) - 1)^22)/(25*(3^(1/2) - (5*x + 3)^(1/2))^22))/((24576*((1 - 2*x)^(1/2) - 1)^2)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (67584*((1 - 2*x)^(1/2) - 1)^4)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (22528*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (25344*((1 - 2*x)^(1/2) - 1)^8)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (101376*((1 - 2*x)^(1/2) - 1)^10)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (59136*((1 - 2*x)^(1/2) - 1)^12)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (25344*((1 - 2*x)^(1/2) - 1)^14)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^14) + (1584*((1 - 2*x)^(1/2) - 1)^16)/(125*(3^(1/2) - (5*x + 3)^(1/2))^16) + (352*((1 - 2*x)^(1/2) - 1)^18)/(25*(3^(1/2) - (5*x + 3)^(1/2))^18) + (264*((1 - 2*x)^(1/2) - 1)^20)/(25*(3^(1/2) - (5*x + 3)^(1/2))^20) + (24*((1 - 2*x)^(1/2) - 1)^22)/(5*(3^(1/2) - (5*x + 3)^(1/2))^22) + ((1 - 2*x)^(1/2) - 1)^24/(3^(1/2) - (5*x + 3)^(1/2))^24 + 4096/244140625)","B"
2263,1,881,128,13.155647,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(1/2),x)","\frac{\frac{22297589\,\left(\sqrt{1-2\,x}-1\right)}{12207031250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{369826027\,{\left(\sqrt{1-2\,x}-1\right)}^3}{4882812500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{4945417109\,{\left(\sqrt{1-2\,x}-1\right)}^5}{2441406250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{1598593169\,{\left(\sqrt{1-2\,x}-1\right)}^7}{195312500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{914901953\,{\left(\sqrt{1-2\,x}-1\right)}^9}{156250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{914901953\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{62500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{1598593169\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{12500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{4945417109\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{25000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{369826027\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{8000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}-\frac{22297589\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{3200000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}-\frac{8192\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{90112\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{8316928\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{216457216\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{58587136\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}-\frac{54114304\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{519808\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{1408\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}-\frac{32\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}}{\frac{1024\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{2304\,{\left(\sqrt{1-2\,x}-1\right)}^4}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{3072\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{2688\,{\left(\sqrt{1-2\,x}-1\right)}^8}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{8064\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{672\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{192\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{36\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{20}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}+\frac{1024}{9765625}}+\frac{39142411\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{6400000}","Not used",1,"((22297589*((1 - 2*x)^(1/2) - 1))/(12207031250*(3^(1/2) - (5*x + 3)^(1/2))) + (369826027*((1 - 2*x)^(1/2) - 1)^3)/(4882812500*(3^(1/2) - (5*x + 3)^(1/2))^3) - (4945417109*((1 - 2*x)^(1/2) - 1)^5)/(2441406250*(3^(1/2) - (5*x + 3)^(1/2))^5) + (1598593169*((1 - 2*x)^(1/2) - 1)^7)/(195312500*(3^(1/2) - (5*x + 3)^(1/2))^7) - (914901953*((1 - 2*x)^(1/2) - 1)^9)/(156250000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (914901953*((1 - 2*x)^(1/2) - 1)^11)/(62500000*(3^(1/2) - (5*x + 3)^(1/2))^11) - (1598593169*((1 - 2*x)^(1/2) - 1)^13)/(12500000*(3^(1/2) - (5*x + 3)^(1/2))^13) + (4945417109*((1 - 2*x)^(1/2) - 1)^15)/(25000000*(3^(1/2) - (5*x + 3)^(1/2))^15) - (369826027*((1 - 2*x)^(1/2) - 1)^17)/(8000000*(3^(1/2) - (5*x + 3)^(1/2))^17) - (22297589*((1 - 2*x)^(1/2) - 1)^19)/(3200000*(3^(1/2) - (5*x + 3)^(1/2))^19) - (8192*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (90112*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (8316928*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (216457216*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (58587136*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^10) - (54114304*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (519808*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^14) + (1408*3^(1/2)*((1 - 2*x)^(1/2) - 1)^16)/(625*(3^(1/2) - (5*x + 3)^(1/2))^16) - (32*3^(1/2)*((1 - 2*x)^(1/2) - 1)^18)/(3^(1/2) - (5*x + 3)^(1/2))^18)/((1024*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (2304*((1 - 2*x)^(1/2) - 1)^4)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (3072*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (2688*((1 - 2*x)^(1/2) - 1)^8)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (8064*((1 - 2*x)^(1/2) - 1)^10)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (672*((1 - 2*x)^(1/2) - 1)^12)/(125*(3^(1/2) - (5*x + 3)^(1/2))^12) + (192*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14) + (36*((1 - 2*x)^(1/2) - 1)^16)/(5*(3^(1/2) - (5*x + 3)^(1/2))^16) + (4*((1 - 2*x)^(1/2) - 1)^18)/(3^(1/2) - (5*x + 3)^(1/2))^18 + ((1 - 2*x)^(1/2) - 1)^20/(3^(1/2) - (5*x + 3)^(1/2))^20 + 1024/9765625) + (39142411*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/6400000","B"
2264,1,708,121,10.532190,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(1/2),x)","\frac{158873\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{64000}-\frac{\frac{38070349\,{\left(\sqrt{1-2\,x}-1\right)}^5}{15625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{3947\,{\left(\sqrt{1-2\,x}-1\right)}^3}{7812500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{148327\,\left(\sqrt{1-2\,x}-1\right)}{19531250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{88735647\,{\left(\sqrt{1-2\,x}-1\right)}^7}{6250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{88735647\,{\left(\sqrt{1-2\,x}-1\right)}^9}{2500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{38070349\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{1000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{3947\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{80000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{148327\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{32000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{16384\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{137728\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{1014272\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{364288\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{253568\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}-\frac{8608\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{256\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{1024\,{\left(\sqrt{1-2\,x}-1\right)}^2}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^6}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{224\,{\left(\sqrt{1-2\,x}-1\right)}^8}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{448\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{112\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{16\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{256}{390625}}","Not used",1,"(158873*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/64000 - ((38070349*((1 - 2*x)^(1/2) - 1)^5)/(15625000*(3^(1/2) - (5*x + 3)^(1/2))^5) - (3947*((1 - 2*x)^(1/2) - 1)^3)/(7812500*(3^(1/2) - (5*x + 3)^(1/2))^3) - (148327*((1 - 2*x)^(1/2) - 1))/(19531250*(3^(1/2) - (5*x + 3)^(1/2))) - (88735647*((1 - 2*x)^(1/2) - 1)^7)/(6250000*(3^(1/2) - (5*x + 3)^(1/2))^7) + (88735647*((1 - 2*x)^(1/2) - 1)^9)/(2500000*(3^(1/2) - (5*x + 3)^(1/2))^9) - (38070349*((1 - 2*x)^(1/2) - 1)^11)/(1000000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (3947*((1 - 2*x)^(1/2) - 1)^13)/(80000*(3^(1/2) - (5*x + 3)^(1/2))^13) + (148327*((1 - 2*x)^(1/2) - 1)^15)/(32000*(3^(1/2) - (5*x + 3)^(1/2))^15) + (16384*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (137728*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (1014272*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (364288*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (253568*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^10) - (8608*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (256*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14))/((1024*((1 - 2*x)^(1/2) - 1)^2)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1792*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (1792*((1 - 2*x)^(1/2) - 1)^6)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (224*((1 - 2*x)^(1/2) - 1)^8)/(125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (448*((1 - 2*x)^(1/2) - 1)^10)/(125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (112*((1 - 2*x)^(1/2) - 1)^12)/(25*(3^(1/2) - (5*x + 3)^(1/2))^12) + (16*((1 - 2*x)^(1/2) - 1)^14)/(5*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 + 256/390625)","B"
2265,1,588,94,7.476572,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(1/2),x)","2\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}\,\left(\frac{x}{2}+\frac{1}{40}\right)-\frac{363\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{4000}-\frac{\frac{7543\,{\left(\sqrt{1-2\,x}-1\right)}^3}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{726\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{19023\,{\left(\sqrt{1-2\,x}-1\right)}^5}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{19023\,{\left(\sqrt{1-2\,x}-1\right)}^7}{6250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{7543\,{\left(\sqrt{1-2\,x}-1\right)}^9}{5000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{363\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{2000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{1152\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{11136\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{15936\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{2784\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{72\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{192\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{48\,{\left(\sqrt{1-2\,x}-1\right)}^4}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^8}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{64}{15625}}-\frac{\sqrt{2}\,\sqrt{5}\,\ln\left(x+\frac{1}{20}-\frac{\sqrt{10}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}\,1{}\mathrm{i}}{10}\right)\,121{}\mathrm{i}}{400}","Not used",1,"2*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2)*(x/2 + 1/40) - (363*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/4000 - (2^(1/2)*5^(1/2)*log(x - (10^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2)*1i)/10 + 1/20)*121i)/400 - ((7543*((1 - 2*x)^(1/2) - 1)^3)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (726*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) - (19023*((1 - 2*x)^(1/2) - 1)^5)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^5) + (19023*((1 - 2*x)^(1/2) - 1)^7)/(6250*(3^(1/2) - (5*x + 3)^(1/2))^7) - (7543*((1 - 2*x)^(1/2) - 1)^9)/(5000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (363*((1 - 2*x)^(1/2) - 1)^11)/(2000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (1152*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (11136*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (15936*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^6) - (2784*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (72*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10))/((192*((1 - 2*x)^(1/2) - 1)^2)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (48*((1 - 2*x)^(1/2) - 1)^4)/(125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (32*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + (12*((1 - 2*x)^(1/2) - 1)^8)/(5*(3^(1/2) - (5*x + 3)^(1/2))^8) + (12*((1 - 2*x)^(1/2) - 1)^10)/(5*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 + 64/15625)","B"
2266,1,54,72,1.708029,"\text{Not used}","int((1 - 2*x)^(1/2)*(5*x + 3)^(1/2),x)","\sqrt{1-2\,x}\,\sqrt{5\,x+3}\,\left(\frac{x}{2}+\frac{1}{40}\right)-\frac{\sqrt{2}\,\sqrt{5}\,\ln\left(x+\frac{1}{20}-\frac{\sqrt{10}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}\,1{}\mathrm{i}}{10}\right)\,121{}\mathrm{i}}{800}","Not used",1,"(1 - 2*x)^(1/2)*(5*x + 3)^(1/2)*(x/2 + 1/40) - (2^(1/2)*5^(1/2)*log(x - (10^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2)*1i)/10 + 1/20)*121i)/800","B"
2267,1,566,84,4.706852,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2),x)","\frac{37\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{45}-\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{6645115904\,\sqrt{7}\,\left(\sqrt{1-2\,x}-1\right)}{3955078125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{229677056\,{\left(\sqrt{1-2\,x}-1\right)}^2}{158203125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{3168922624\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{1318359375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{459354112}{791015625}\right)}-\frac{192432128\,\sqrt{3}\,\sqrt{7}}{439453125\,\left(\frac{229677056\,{\left(\sqrt{1-2\,x}-1\right)}^2}{158203125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{3168922624\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{1318359375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{459354112}{791015625}\right)}+\frac{96216064\,\sqrt{3}\,\sqrt{7}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{87890625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{229677056\,{\left(\sqrt{1-2\,x}-1\right)}^2}{158203125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{3168922624\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{1318359375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{459354112}{791015625}\right)}\right)}{9}+\frac{2\,{\left(\sqrt{1-2\,x}-1\right)}^3}{15\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3\,\left(\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}\right)}-\frac{4\,\left(\sqrt{1-2\,x}-1\right)}{75\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}\right)}+\frac{16\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}\right)}","Not used",1,"(37*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/45 - (2*7^(1/2)*atan((6645115904*7^(1/2)*((1 - 2*x)^(1/2) - 1))/(3955078125*(3^(1/2) - (5*x + 3)^(1/2))*((229677056*((1 - 2*x)^(1/2) - 1)^2)/(158203125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (3168922624*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(1318359375*(3^(1/2) - (5*x + 3)^(1/2))) - 459354112/791015625)) - (192432128*3^(1/2)*7^(1/2))/(439453125*((229677056*((1 - 2*x)^(1/2) - 1)^2)/(158203125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (3168922624*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(1318359375*(3^(1/2) - (5*x + 3)^(1/2))) - 459354112/791015625)) + (96216064*3^(1/2)*7^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(87890625*(3^(1/2) - (5*x + 3)^(1/2))^2*((229677056*((1 - 2*x)^(1/2) - 1)^2)/(158203125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (3168922624*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(1318359375*(3^(1/2) - (5*x + 3)^(1/2))) - 459354112/791015625))))/9 + (2*((1 - 2*x)^(1/2) - 1)^3)/(15*(3^(1/2) - (5*x + 3)^(1/2))^3*((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25)) - (4*((1 - 2*x)^(1/2) - 1))/(75*(3^(1/2) - (5*x + 3)^(1/2))*((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25)) + (16*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(15*(3^(1/2) - (5*x + 3)^(1/2))^2*((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25))","B"
2268,1,752,91,5.613934,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^2,x)","\frac{37\,\sqrt{7}\,\mathrm{atan}\left(\frac{31139252096\,\sqrt{7}\,\left(\sqrt{1-2\,x}-1\right)}{38759765625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{1076274944\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1550390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{14849685376\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{12919921875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2152549888}{7751953125}\right)}-\frac{901743872\,\sqrt{3}\,\sqrt{7}}{4306640625\,\left(\frac{1076274944\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1550390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{14849685376\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{12919921875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2152549888}{7751953125}\right)}+\frac{450871936\,\sqrt{3}\,\sqrt{7}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{861328125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{1076274944\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1550390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{14849685376\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{12919921875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2152549888}{7751953125}\right)}\right)}{63}-\frac{4\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{9}-\frac{2\,{\left(\sqrt{1-2\,x}-1\right)}^3}{3\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}+\frac{4\,\left(\sqrt{1-2\,x}-1\right)}{15\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}-\frac{37\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{75\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}","Not used",1,"(37*7^(1/2)*atan((31139252096*7^(1/2)*((1 - 2*x)^(1/2) - 1))/(38759765625*(3^(1/2) - (5*x + 3)^(1/2))*((1076274944*((1 - 2*x)^(1/2) - 1)^2)/(1550390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (14849685376*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(12919921875*(3^(1/2) - (5*x + 3)^(1/2))) - 2152549888/7751953125)) - (901743872*3^(1/2)*7^(1/2))/(4306640625*((1076274944*((1 - 2*x)^(1/2) - 1)^2)/(1550390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (14849685376*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(12919921875*(3^(1/2) - (5*x + 3)^(1/2))) - 2152549888/7751953125)) + (450871936*3^(1/2)*7^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(861328125*(3^(1/2) - (5*x + 3)^(1/2))^2*((1076274944*((1 - 2*x)^(1/2) - 1)^2)/(1550390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (14849685376*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(12919921875*(3^(1/2) - (5*x + 3)^(1/2))) - 2152549888/7751953125))))/63 - (4*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/9 - (2*((1 - 2*x)^(1/2) - 1)^3)/(3*(3^(1/2) - (5*x + 3)^(1/2))^3*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) + (4*((1 - 2*x)^(1/2) - 1))/(15*(3^(1/2) - (5*x + 3)^(1/2))*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) - (37*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(75*(3^(1/2) - (5*x + 3)^(1/2))^2*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25))","B"
2269,1,1037,93,12.620894,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^3,x)","\frac{\frac{2129\,{\left(\sqrt{1-2\,x}-1\right)}^5}{875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{4258\,{\left(\sqrt{1-2\,x}-1\right)}^3}{4375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{158\,\left(\sqrt{1-2\,x}-1\right)}{4375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{79\,{\left(\sqrt{1-2\,x}-1\right)}^7}{140\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{991\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{4375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{376\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{991\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{700\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{544\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{1764\,{\left(\sqrt{1-2\,x}-1\right)}^4}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{136\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{96\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{12\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{96\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{16}{625}}-\frac{121\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{121\,\sqrt{7}\,\left(\frac{726\,\sqrt{3}}{875}+\frac{363\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{363\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,121{}\mathrm{i}}{392}\right)}{392}+\frac{121\,\sqrt{7}\,\left(\frac{726\,\sqrt{3}}{875}+\frac{363\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{363\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,121{}\mathrm{i}}{392}\right)}{392}}{\frac{14641\,{\left(\sqrt{1-2\,x}-1\right)}^2}{9800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{14641}{24500}+\frac{\sqrt{7}\,\left(\frac{726\,\sqrt{3}}{875}+\frac{363\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{363\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,121{}\mathrm{i}}{392}\right)\,121{}\mathrm{i}}{392}-\frac{\sqrt{7}\,\left(\frac{726\,\sqrt{3}}{875}+\frac{363\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{363\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,121{}\mathrm{i}}{392}\right)\,121{}\mathrm{i}}{392}}\right)}{196}","Not used",1,"((2129*((1 - 2*x)^(1/2) - 1)^5)/(875*(3^(1/2) - (5*x + 3)^(1/2))^5) - (4258*((1 - 2*x)^(1/2) - 1)^3)/(4375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (158*((1 - 2*x)^(1/2) - 1))/(4375*(3^(1/2) - (5*x + 3)^(1/2))) + (79*((1 - 2*x)^(1/2) - 1)^7)/(140*(3^(1/2) - (5*x + 3)^(1/2))^7) + (991*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(4375*(3^(1/2) - (5*x + 3)^(1/2))^2) - (376*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(875*(3^(1/2) - (5*x + 3)^(1/2))^4) + (991*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(700*(3^(1/2) - (5*x + 3)^(1/2))^6))/((544*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (1764*((1 - 2*x)^(1/2) - 1)^4)/(625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (136*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(125*(3^(1/2) - (5*x + 3)^(1/2))^5) + (12*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(5*(3^(1/2) - (5*x + 3)^(1/2))^7) - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(625*(3^(1/2) - (5*x + 3)^(1/2))) + 16/625) - (121*7^(1/2)*atan(((121*7^(1/2)*((726*3^(1/2))/875 + (363*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*121i)/392 - (363*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2)))/392 + (121*7^(1/2)*((726*3^(1/2))/875 + (363*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*121i)/392 - (363*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2)))/392)/((7^(1/2)*((726*3^(1/2))/875 + (363*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*121i)/392 - (363*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2))*121i)/392 - (7^(1/2)*((726*3^(1/2))/875 + (363*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*121i)/392 - (363*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2))*121i)/392 + (14641*((1 - 2*x)^(1/2) - 1)^2)/(9800*(3^(1/2) - (5*x + 3)^(1/2))^2) + 14641/24500)))/196","B"
2270,1,1273,122,12.761290,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^4,x)","\frac{\frac{2630142\,{\left(\sqrt{1-2\,x}-1\right)}^5}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{1060932\,{\left(\sqrt{1-2\,x}-1\right)}^3}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{16732\,\left(\sqrt{1-2\,x}-1\right)}{765625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1315071\,{\left(\sqrt{1-2\,x}-1\right)}^7}{153125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{265233\,{\left(\sqrt{1-2\,x}-1\right)}^9}{12250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{4183\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{1960\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{131174\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{121551\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{109375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{3688612\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{121551\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{17500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{65587\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{9800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{5856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{4224\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{14776\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{1056\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{366\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}-\frac{7776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{34704\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{17352\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{972\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{18\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{576\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{15625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{64}{15625}}-\frac{4477\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{4477\,\sqrt{7}\,\left(\frac{13431\,\sqrt{3}}{6125}+\frac{13431\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{13431\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,4477{}\mathrm{i}}{5488}\right)}{5488}+\frac{4477\,\sqrt{7}\,\left(\frac{13431\,\sqrt{3}}{6125}+\frac{13431\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{13431\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,4477{}\mathrm{i}}{5488}\right)}{5488}}{\frac{20043529\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1920800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{20043529}{4802000}+\frac{\sqrt{7}\,\left(\frac{13431\,\sqrt{3}}{6125}+\frac{13431\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{13431\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,4477{}\mathrm{i}}{5488}\right)\,4477{}\mathrm{i}}{5488}-\frac{\sqrt{7}\,\left(\frac{13431\,\sqrt{3}}{6125}+\frac{13431\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{13431\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,4477{}\mathrm{i}}{5488}\right)\,4477{}\mathrm{i}}{5488}}\right)}{2744}","Not used",1,"((2630142*((1 - 2*x)^(1/2) - 1)^5)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^5) - (1060932*((1 - 2*x)^(1/2) - 1)^3)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^3) - (16732*((1 - 2*x)^(1/2) - 1))/(765625*(3^(1/2) - (5*x + 3)^(1/2))) - (1315071*((1 - 2*x)^(1/2) - 1)^7)/(153125*(3^(1/2) - (5*x + 3)^(1/2))^7) + (265233*((1 - 2*x)^(1/2) - 1)^9)/(12250*(3^(1/2) - (5*x + 3)^(1/2))^9) + (4183*((1 - 2*x)^(1/2) - 1)^11)/(1960*(3^(1/2) - (5*x + 3)^(1/2))^11) + (131174*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (121551*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(109375*(3^(1/2) - (5*x + 3)^(1/2))^4) - (3688612*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (121551*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(17500*(3^(1/2) - (5*x + 3)^(1/2))^8) + (65587*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(9800*(3^(1/2) - (5*x + 3)^(1/2))^10))/((5856*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (4224*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (14776*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (1056*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (366*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 - (7776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (34704*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^5) - (17352*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^7) + (972*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(125*(3^(1/2) - (5*x + 3)^(1/2))^9) + (18*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(5*(3^(1/2) - (5*x + 3)^(1/2))^11) - (576*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(15625*(3^(1/2) - (5*x + 3)^(1/2))) + 64/15625) - (4477*7^(1/2)*atan(((4477*7^(1/2)*((13431*3^(1/2))/6125 + (13431*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*4477i)/5488 - (13431*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2)))/5488 + (4477*7^(1/2)*((13431*3^(1/2))/6125 + (13431*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*4477i)/5488 - (13431*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2)))/5488)/((7^(1/2)*((13431*3^(1/2))/6125 + (13431*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*4477i)/5488 - (13431*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2))*4477i)/5488 - (7^(1/2)*((13431*3^(1/2))/6125 + (13431*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*4477i)/5488 - (13431*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2))*4477i)/5488 + (20043529*((1 - 2*x)^(1/2) - 1)^2)/(1920800*(3^(1/2) - (5*x + 3)^(1/2))^2) + 20043529/4802000)))/2744","B"
2271,1,1509,151,17.397461,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^5,x)","\frac{\frac{2430615287\,{\left(\sqrt{1-2\,x}-1\right)}^7}{76562500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{4227392\,{\left(\sqrt{1-2\,x}-1\right)}^3}{2734375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{29304073\,{\left(\sqrt{1-2\,x}-1\right)}^5}{7656250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{1572266\,\left(\sqrt{1-2\,x}-1\right)}{133984375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2430615287\,{\left(\sqrt{1-2\,x}-1\right)}^9}{30625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{29304073\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{490000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{132106\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{786133\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{109760\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{474659\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{7936034\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{2734375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{402724691\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{38281250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{6732597583\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{267968750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{402724691\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{6125000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{3968017\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{35000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{474659\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{15680\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{45056\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{294784\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{1921024\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{5828656\,{\left(\sqrt{1-2\,x}-1\right)}^8}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{480256\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{18424\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{704\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}-\frac{21504\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48384\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{4992\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{2496\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{6048\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{672\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{24\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{3072\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{256}{390625}}-\frac{794365\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{794365\,\sqrt{7}\,\left(\frac{476619\,\sqrt{3}}{68600}+\frac{476619\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{476619\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,794365{}\mathrm{i}}{307328}\right)}{307328}+\frac{794365\,\sqrt{7}\,\left(\frac{476619\,\sqrt{3}}{68600}+\frac{476619\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{476619\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,794365{}\mathrm{i}}{307328}\right)}{307328}}{\frac{25240630129\,{\left(\sqrt{1-2\,x}-1\right)}^2}{240945152\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{25240630129}{602362880}+\frac{\sqrt{7}\,\left(\frac{476619\,\sqrt{3}}{68600}+\frac{476619\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{476619\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,794365{}\mathrm{i}}{307328}\right)\,794365{}\mathrm{i}}{307328}-\frac{\sqrt{7}\,\left(\frac{476619\,\sqrt{3}}{68600}+\frac{476619\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{476619\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,794365{}\mathrm{i}}{307328}\right)\,794365{}\mathrm{i}}{307328}}\right)}{153664}","Not used",1,"((2430615287*((1 - 2*x)^(1/2) - 1)^7)/(76562500*(3^(1/2) - (5*x + 3)^(1/2))^7) - (4227392*((1 - 2*x)^(1/2) - 1)^3)/(2734375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (29304073*((1 - 2*x)^(1/2) - 1)^5)/(7656250*(3^(1/2) - (5*x + 3)^(1/2))^5) - (1572266*((1 - 2*x)^(1/2) - 1))/(133984375*(3^(1/2) - (5*x + 3)^(1/2))) - (2430615287*((1 - 2*x)^(1/2) - 1)^9)/(30625000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (29304073*((1 - 2*x)^(1/2) - 1)^11)/(490000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (132106*((1 - 2*x)^(1/2) - 1)^13)/(875*(3^(1/2) - (5*x + 3)^(1/2))^13) + (786133*((1 - 2*x)^(1/2) - 1)^15)/(109760*(3^(1/2) - (5*x + 3)^(1/2))^15) + (474659*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3828125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (7936034*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(2734375*(3^(1/2) - (5*x + 3)^(1/2))^4) - (402724691*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(38281250*(3^(1/2) - (5*x + 3)^(1/2))^6) + (6732597583*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(267968750*(3^(1/2) - (5*x + 3)^(1/2))^8) - (402724691*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(6125000*(3^(1/2) - (5*x + 3)^(1/2))^10) + (3968017*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(35000*(3^(1/2) - (5*x + 3)^(1/2))^12) + (474659*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(15680*(3^(1/2) - (5*x + 3)^(1/2))^14))/((45056*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (294784*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (1921024*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (5828656*((1 - 2*x)^(1/2) - 1)^8)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^8) - (480256*((1 - 2*x)^(1/2) - 1)^10)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^10) + (18424*((1 - 2*x)^(1/2) - 1)^12)/(625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (704*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 - (21504*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48384*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^5) - (4992*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^7) + (2496*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^9) - (6048*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(625*(3^(1/2) - (5*x + 3)^(1/2))^11) + (672*3^(1/2)*((1 - 2*x)^(1/2) - 1)^13)/(25*(3^(1/2) - (5*x + 3)^(1/2))^13) + (24*3^(1/2)*((1 - 2*x)^(1/2) - 1)^15)/(5*(3^(1/2) - (5*x + 3)^(1/2))^15) - (3072*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) + 256/390625) - (794365*7^(1/2)*atan(((794365*7^(1/2)*((476619*3^(1/2))/68600 + (476619*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*794365i)/307328 - (476619*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2)))/307328 + (794365*7^(1/2)*((476619*3^(1/2))/68600 + (476619*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*794365i)/307328 - (476619*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2)))/307328)/((7^(1/2)*((476619*3^(1/2))/68600 + (476619*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*794365i)/307328 - (476619*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2))*794365i)/307328 - (7^(1/2)*((476619*3^(1/2))/68600 + (476619*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*794365i)/307328 - (476619*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2))*794365i)/307328 + (25240630129*((1 - 2*x)^(1/2) - 1)^2)/(240945152*(3^(1/2) - (5*x + 3)^(1/2))^2) + 25240630129/602362880)))/153664","B"
2272,1,1745,180,20.387795,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^6,x)","\frac{\frac{45503192879\,{\left(\sqrt{1-2\,x}-1\right)}^7}{478515625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{2981176\,{\left(\sqrt{1-2\,x}-1\right)}^3}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{61599781879\,{\left(\sqrt{1-2\,x}-1\right)}^5}{3349609375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{22334164\,\left(\sqrt{1-2\,x}-1\right)}{3349609375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{137589446767\,{\left(\sqrt{1-2\,x}-1\right)}^9}{535937500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{137589446767\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{214375000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{45503192879\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{30625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{61599781879\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{34300000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{372647\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}+\frac{5583541\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{219520\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}+\frac{12070766\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{133984375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{2979759193\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{669921875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{132301459\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{957031250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{442781811679\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{6699218750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{1165566494503\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{4785156250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}-\frac{442781811679\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{1071875000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{132301459\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{24500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{2979759193\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{2744000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{6035383\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{43904\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}}{\frac{11776\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1082112\,{\left(\sqrt{1-2\,x}-1\right)}^4}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{4163328\,{\left(\sqrt{1-2\,x}-1\right)}^6}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{1029696\,{\left(\sqrt{1-2\,x}-1\right)}^8}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{15348576\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{257424\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}-\frac{260208\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{16908\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{46\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{20}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}-\frac{201216\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{2800128\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{6514944\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{24309312\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{12154656\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{814368\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{87504\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{1572\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}-\frac{3072\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{1953125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{1024}{9765625}}-\frac{5591773\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{5591773\,\sqrt{7}\,\left(\frac{16775319\,\sqrt{3}}{686000}+\frac{16775319\,\left(\sqrt{1-2\,x}-1\right)}{1372000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{16775319\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{274400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,5591773{}\mathrm{i}}{614656}\right)}{614656}+\frac{5591773\,\sqrt{7}\,\left(\frac{16775319\,\sqrt{3}}{686000}+\frac{16775319\,\left(\sqrt{1-2\,x}-1\right)}{1372000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{16775319\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{274400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,5591773{}\mathrm{i}}{614656}\right)}{614656}}{\frac{31267925283529\,{\left(\sqrt{1-2\,x}-1\right)}^2}{24094515200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{31267925283529}{60236288000}+\frac{\sqrt{7}\,\left(\frac{16775319\,\sqrt{3}}{686000}+\frac{16775319\,\left(\sqrt{1-2\,x}-1\right)}{1372000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{16775319\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{274400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,5591773{}\mathrm{i}}{614656}\right)\,5591773{}\mathrm{i}}{614656}-\frac{\sqrt{7}\,\left(\frac{16775319\,\sqrt{3}}{686000}+\frac{16775319\,\left(\sqrt{1-2\,x}-1\right)}{1372000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{16775319\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{274400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,5591773{}\mathrm{i}}{614656}\right)\,5591773{}\mathrm{i}}{614656}}\right)}{307328}","Not used",1,"((45503192879*((1 - 2*x)^(1/2) - 1)^7)/(478515625*(3^(1/2) - (5*x + 3)^(1/2))^7) - (2981176*((1 - 2*x)^(1/2) - 1)^3)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (61599781879*((1 - 2*x)^(1/2) - 1)^5)/(3349609375*(3^(1/2) - (5*x + 3)^(1/2))^5) - (22334164*((1 - 2*x)^(1/2) - 1))/(3349609375*(3^(1/2) - (5*x + 3)^(1/2))) - (137589446767*((1 - 2*x)^(1/2) - 1)^9)/(535937500*(3^(1/2) - (5*x + 3)^(1/2))^9) + (137589446767*((1 - 2*x)^(1/2) - 1)^11)/(214375000*(3^(1/2) - (5*x + 3)^(1/2))^11) - (45503192879*((1 - 2*x)^(1/2) - 1)^13)/(30625000*(3^(1/2) - (5*x + 3)^(1/2))^13) + (61599781879*((1 - 2*x)^(1/2) - 1)^15)/(34300000*(3^(1/2) - (5*x + 3)^(1/2))^15) + (372647*((1 - 2*x)^(1/2) - 1)^17)/(400*(3^(1/2) - (5*x + 3)^(1/2))^17) + (5583541*((1 - 2*x)^(1/2) - 1)^19)/(219520*(3^(1/2) - (5*x + 3)^(1/2))^19) + (12070766*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(133984375*(3^(1/2) - (5*x + 3)^(1/2))^2) + (2979759193*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(669921875*(3^(1/2) - (5*x + 3)^(1/2))^4) + (132301459*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(957031250*(3^(1/2) - (5*x + 3)^(1/2))^6) - (442781811679*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(6699218750*(3^(1/2) - (5*x + 3)^(1/2))^8) + (1165566494503*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(4785156250*(3^(1/2) - (5*x + 3)^(1/2))^10) - (442781811679*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(1071875000*(3^(1/2) - (5*x + 3)^(1/2))^12) + (132301459*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(24500000*(3^(1/2) - (5*x + 3)^(1/2))^14) + (2979759193*3^(1/2)*((1 - 2*x)^(1/2) - 1)^16)/(2744000*(3^(1/2) - (5*x + 3)^(1/2))^16) + (6035383*3^(1/2)*((1 - 2*x)^(1/2) - 1)^18)/(43904*(3^(1/2) - (5*x + 3)^(1/2))^18))/((11776*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1082112*((1 - 2*x)^(1/2) - 1)^4)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^4) - (4163328*((1 - 2*x)^(1/2) - 1)^6)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (1029696*((1 - 2*x)^(1/2) - 1)^8)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^8) - (15348576*((1 - 2*x)^(1/2) - 1)^10)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^10) + (257424*((1 - 2*x)^(1/2) - 1)^12)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^12) - (260208*((1 - 2*x)^(1/2) - 1)^14)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^14) + (16908*((1 - 2*x)^(1/2) - 1)^16)/(125*(3^(1/2) - (5*x + 3)^(1/2))^16) + (46*((1 - 2*x)^(1/2) - 1)^18)/(3^(1/2) - (5*x + 3)^(1/2))^18 + ((1 - 2*x)^(1/2) - 1)^20/(3^(1/2) - (5*x + 3)^(1/2))^20 - (201216*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (2800128*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^5) + (6514944*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^7) - (24309312*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^9) + (12154656*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^11) - (814368*3^(1/2)*((1 - 2*x)^(1/2) - 1)^13)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^13) + (87504*3^(1/2)*((1 - 2*x)^(1/2) - 1)^15)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^15) + (1572*3^(1/2)*((1 - 2*x)^(1/2) - 1)^17)/(25*(3^(1/2) - (5*x + 3)^(1/2))^17) + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^19)/(3^(1/2) - (5*x + 3)^(1/2))^19 - (3072*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(1953125*(3^(1/2) - (5*x + 3)^(1/2))) + 1024/9765625) - (5591773*7^(1/2)*atan(((5591773*7^(1/2)*((16775319*3^(1/2))/686000 + (16775319*((1 - 2*x)^(1/2) - 1))/(1372000*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*5591773i)/614656 - (16775319*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(274400*(3^(1/2) - (5*x + 3)^(1/2))^2)))/614656 + (5591773*7^(1/2)*((16775319*3^(1/2))/686000 + (16775319*((1 - 2*x)^(1/2) - 1))/(1372000*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*5591773i)/614656 - (16775319*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(274400*(3^(1/2) - (5*x + 3)^(1/2))^2)))/614656)/((7^(1/2)*((16775319*3^(1/2))/686000 + (16775319*((1 - 2*x)^(1/2) - 1))/(1372000*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*5591773i)/614656 - (16775319*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(274400*(3^(1/2) - (5*x + 3)^(1/2))^2))*5591773i)/614656 - (7^(1/2)*((16775319*3^(1/2))/686000 + (16775319*((1 - 2*x)^(1/2) - 1))/(1372000*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*5591773i)/614656 - (16775319*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(274400*(3^(1/2) - (5*x + 3)^(1/2))^2))*5591773i)/614656 + (31267925283529*((1 - 2*x)^(1/2) - 1)^2)/(24094515200*(3^(1/2) - (5*x + 3)^(1/2))^2) + 31267925283529/60236288000)))/307328","B"
2273,1,1981,209,26.475778,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^7,x)","\frac{\frac{16944332789147\,{\left(\sqrt{1-2\,x}-1\right)}^7}{234472656250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{166614000612\,{\left(\sqrt{1-2\,x}-1\right)}^3}{117236328125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{3113868401706\,{\left(\sqrt{1-2\,x}-1\right)}^5}{83740234375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{471037564\,\left(\sqrt{1-2\,x}-1\right)}{117236328125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{788747583108129\,{\left(\sqrt{1-2\,x}-1\right)}^9}{2344726562500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{23576019251663873\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{11723632812500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{23576019251663873\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{4689453125000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}-\frac{788747583108129\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{150062500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{16944332789147\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{2401000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}+\frac{1556934200853\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{68600000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}+\frac{41653500153\,{\left(\sqrt{1-2\,x}-1\right)}^{21}}{7683200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{21}}+\frac{117759391\,{\left(\sqrt{1-2\,x}-1\right)}^{23}}{1229312\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{23}}+\frac{38864901622\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{586181640625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{655789856256\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{117236328125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{8465281916419\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{234472656250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{162652045859857\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{586181640625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{21120963153193039\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{23447265625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}-\frac{3855651136856339\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{1674804687500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{21120963153193039\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{3751562500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}-\frac{162652045859857\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{15006250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{8465281916419\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{960400000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{2561679126\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{20}}{300125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}+\frac{19432450811\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{22}}{30732800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{22}}}{\frac{1744896\,{\left(\sqrt{1-2\,x}-1\right)}^2}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{12125184\,{\left(\sqrt{1-2\,x}-1\right)}^4}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{10098688\,{\left(\sqrt{1-2\,x}-1\right)}^6}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{59116032\,{\left(\sqrt{1-2\,x}-1\right)}^8}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{7085984256\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}-\frac{20806140864\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{1771496064\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}-\frac{3694752\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{157792\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{47364\,{\left(\sqrt{1-2\,x}-1\right)}^{20}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}+\frac{1704\,{\left(\sqrt{1-2\,x}-1\right)}^{22}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{22}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{24}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{24}}-\frac{1548288\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{81764352\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{478061568\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{206710272\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{1284636672\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{244140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{642318336\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{48828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{25838784\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{14939424\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}+\frac{638784\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}+\frac{3024\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{21}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{21}}+\frac{36\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{23}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{23}}-\frac{73728\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{244140625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4096}{244140625}}-\frac{588912203\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{588912203\,\sqrt{7}\,\left(\frac{1766736609\,\sqrt{3}}{19208000}+\frac{1766736609\,\left(\sqrt{1-2\,x}-1\right)}{38416000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1766736609\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{7683200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,588912203{}\mathrm{i}}{17210368}\right)}{17210368}+\frac{588912203\,\sqrt{7}\,\left(\frac{1766736609\,\sqrt{3}}{19208000}+\frac{1766736609\,\left(\sqrt{1-2\,x}-1\right)}{38416000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1766736609\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{7683200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,588912203{}\mathrm{i}}{17210368}\right)}{17210368}}{\frac{346817582842313209\,{\left(\sqrt{1-2\,x}-1\right)}^2}{18890099916800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{346817582842313209}{47225249792000}+\frac{\sqrt{7}\,\left(\frac{1766736609\,\sqrt{3}}{19208000}+\frac{1766736609\,\left(\sqrt{1-2\,x}-1\right)}{38416000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1766736609\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{7683200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,588912203{}\mathrm{i}}{17210368}\right)\,588912203{}\mathrm{i}}{17210368}-\frac{\sqrt{7}\,\left(\frac{1766736609\,\sqrt{3}}{19208000}+\frac{1766736609\,\left(\sqrt{1-2\,x}-1\right)}{38416000\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1766736609\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{7683200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,588912203{}\mathrm{i}}{17210368}\right)\,588912203{}\mathrm{i}}{17210368}}\right)}{8605184}","Not used",1,"((16944332789147*((1 - 2*x)^(1/2) - 1)^7)/(234472656250*(3^(1/2) - (5*x + 3)^(1/2))^7) - (166614000612*((1 - 2*x)^(1/2) - 1)^3)/(117236328125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (3113868401706*((1 - 2*x)^(1/2) - 1)^5)/(83740234375*(3^(1/2) - (5*x + 3)^(1/2))^5) - (471037564*((1 - 2*x)^(1/2) - 1))/(117236328125*(3^(1/2) - (5*x + 3)^(1/2))) + (788747583108129*((1 - 2*x)^(1/2) - 1)^9)/(2344726562500*(3^(1/2) - (5*x + 3)^(1/2))^9) - (23576019251663873*((1 - 2*x)^(1/2) - 1)^11)/(11723632812500*(3^(1/2) - (5*x + 3)^(1/2))^11) + (23576019251663873*((1 - 2*x)^(1/2) - 1)^13)/(4689453125000*(3^(1/2) - (5*x + 3)^(1/2))^13) - (788747583108129*((1 - 2*x)^(1/2) - 1)^15)/(150062500000*(3^(1/2) - (5*x + 3)^(1/2))^15) - (16944332789147*((1 - 2*x)^(1/2) - 1)^17)/(2401000000*(3^(1/2) - (5*x + 3)^(1/2))^17) + (1556934200853*((1 - 2*x)^(1/2) - 1)^19)/(68600000*(3^(1/2) - (5*x + 3)^(1/2))^19) + (41653500153*((1 - 2*x)^(1/2) - 1)^21)/(7683200*(3^(1/2) - (5*x + 3)^(1/2))^21) + (117759391*((1 - 2*x)^(1/2) - 1)^23)/(1229312*(3^(1/2) - (5*x + 3)^(1/2))^23) + (38864901622*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(586181640625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (655789856256*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(117236328125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (8465281916419*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(234472656250*(3^(1/2) - (5*x + 3)^(1/2))^6) - (162652045859857*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(586181640625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (21120963153193039*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(23447265625000*(3^(1/2) - (5*x + 3)^(1/2))^10) - (3855651136856339*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(1674804687500*(3^(1/2) - (5*x + 3)^(1/2))^12) + (21120963153193039*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(3751562500000*(3^(1/2) - (5*x + 3)^(1/2))^14) - (162652045859857*3^(1/2)*((1 - 2*x)^(1/2) - 1)^16)/(15006250000*(3^(1/2) - (5*x + 3)^(1/2))^16) + (8465281916419*3^(1/2)*((1 - 2*x)^(1/2) - 1)^18)/(960400000*(3^(1/2) - (5*x + 3)^(1/2))^18) + (2561679126*3^(1/2)*((1 - 2*x)^(1/2) - 1)^20)/(300125*(3^(1/2) - (5*x + 3)^(1/2))^20) + (19432450811*3^(1/2)*((1 - 2*x)^(1/2) - 1)^22)/(30732800*(3^(1/2) - (5*x + 3)^(1/2))^22))/((1744896*((1 - 2*x)^(1/2) - 1)^2)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (12125184*((1 - 2*x)^(1/2) - 1)^4)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (10098688*((1 - 2*x)^(1/2) - 1)^6)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (59116032*((1 - 2*x)^(1/2) - 1)^8)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (7085984256*((1 - 2*x)^(1/2) - 1)^10)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^10) - (20806140864*((1 - 2*x)^(1/2) - 1)^12)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (1771496064*((1 - 2*x)^(1/2) - 1)^14)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^14) - (3694752*((1 - 2*x)^(1/2) - 1)^16)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^16) + (157792*((1 - 2*x)^(1/2) - 1)^18)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^18) + (47364*((1 - 2*x)^(1/2) - 1)^20)/(125*(3^(1/2) - (5*x + 3)^(1/2))^20) + (1704*((1 - 2*x)^(1/2) - 1)^22)/(25*(3^(1/2) - (5*x + 3)^(1/2))^22) + ((1 - 2*x)^(1/2) - 1)^24/(3^(1/2) - (5*x + 3)^(1/2))^24 - (1548288*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (81764352*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^5) + (478061568*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^7) - (206710272*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^9) + (1284636672*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(244140625*(3^(1/2) - (5*x + 3)^(1/2))^11) - (642318336*3^(1/2)*((1 - 2*x)^(1/2) - 1)^13)/(48828125*(3^(1/2) - (5*x + 3)^(1/2))^13) + (25838784*3^(1/2)*((1 - 2*x)^(1/2) - 1)^15)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^15) - (14939424*3^(1/2)*((1 - 2*x)^(1/2) - 1)^17)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^17) + (638784*3^(1/2)*((1 - 2*x)^(1/2) - 1)^19)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^19) + (3024*3^(1/2)*((1 - 2*x)^(1/2) - 1)^21)/(25*(3^(1/2) - (5*x + 3)^(1/2))^21) + (36*3^(1/2)*((1 - 2*x)^(1/2) - 1)^23)/(5*(3^(1/2) - (5*x + 3)^(1/2))^23) - (73728*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(244140625*(3^(1/2) - (5*x + 3)^(1/2))) + 4096/244140625) - (588912203*7^(1/2)*atan(((588912203*7^(1/2)*((1766736609*3^(1/2))/19208000 + (1766736609*((1 - 2*x)^(1/2) - 1))/(38416000*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*588912203i)/17210368 - (1766736609*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(7683200*(3^(1/2) - (5*x + 3)^(1/2))^2)))/17210368 + (588912203*7^(1/2)*((1766736609*3^(1/2))/19208000 + (1766736609*((1 - 2*x)^(1/2) - 1))/(38416000*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*588912203i)/17210368 - (1766736609*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(7683200*(3^(1/2) - (5*x + 3)^(1/2))^2)))/17210368)/((7^(1/2)*((1766736609*3^(1/2))/19208000 + (1766736609*((1 - 2*x)^(1/2) - 1))/(38416000*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*588912203i)/17210368 - (1766736609*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(7683200*(3^(1/2) - (5*x + 3)^(1/2))^2))*588912203i)/17210368 - (7^(1/2)*((1766736609*3^(1/2))/19208000 + (1766736609*((1 - 2*x)^(1/2) - 1))/(38416000*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*588912203i)/17210368 - (1766736609*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(7683200*(3^(1/2) - (5*x + 3)^(1/2))^2))*588912203i)/17210368 + (346817582842313209*((1 - 2*x)^(1/2) - 1)^2)/(18890099916800*(3^(1/2) - (5*x + 3)^(1/2))^2) + 346817582842313209/47225249792000)))/8605184","B"
2274,0,-1,179,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(3/2), x)","F"
2275,0,-1,150,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(3/2), x)","F"
2276,0,-1,143,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(3/2), x)","F"
2277,0,-1,116,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(3/2), x)","F"
2278,0,-1,94,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(5*x + 3)^(3/2), x)","F"
2279,0,-1,106,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2), x)","F"
2280,0,-1,115,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^2,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^2, x)","F"
2281,0,-1,120,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^3,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^3, x)","F"
2282,0,-1,122,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^4,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^4, x)","F"
2283,0,-1,151,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^5,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^5, x)","F"
2284,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^6,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^6, x)","F"
2285,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^7,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^7, x)","F"
2286,0,-1,201,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(5/2), x)","F"
2287,0,-1,172,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(5/2), x)","F"
2288,0,-1,165,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(5/2), x)","F"
2289,0,-1,138,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(5/2), x)","F"
2290,0,-1,116,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(5*x + 3)^(5/2), x)","F"
2291,0,-1,130,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2), x)","F"
2292,0,-1,137,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^2,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^2, x)","F"
2293,0,-1,144,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^3,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^3, x)","F"
2294,0,-1,149,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^4,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^4, x)","F"
2295,0,-1,151,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^5,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^5, x)","F"
2296,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^6,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^6, x)","F"
2297,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^7,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^7, x)","F"
2298,0,-1,238,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^8,x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^8} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^8, x)","F"
2299,1,39073,119,110.196309,"\text{Not used}","int((a + b*x)^(1/2)/((e + f*x)*(c + d*x)^(1/2)),x)","\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\frac{\sqrt{b}\,\left(\frac{65536\,\left(16\,a^{5/2}\,b^{10}\,c^{11/2}\,f^4+24\,\sqrt{a}\,b^{12}\,c^{7/2}\,d^2\,e^4-24\,a^{3/2}\,b^{11}\,c^{5/2}\,d^3\,e^4-24\,a^{5/2}\,b^{10}\,c^{3/2}\,d^4\,e^4+24\,a^{7/2}\,b^9\,\sqrt{c}\,d^5\,e^4+24\,a^{9/2}\,b^8\,c^{7/2}\,d^2\,f^4+8\,a^{11/2}\,b^7\,c^{5/2}\,d^3\,f^4-40\,a^{13/2}\,b^6\,c^{3/2}\,d^4\,f^4+24\,a^{15/2}\,b^5\,\sqrt{c}\,d^5\,f^4+16\,\sqrt{a}\,b^{12}\,c^{11/2}\,e^2\,f^2-32\,a^{7/2}\,b^9\,c^{9/2}\,d\,f^4-32\,a^{3/2}\,b^{11}\,c^{11/2}\,e\,f^3-44\,\sqrt{a}\,b^{12}\,c^{9/2}\,d\,e^3\,f+20\,a^{5/2}\,b^{10}\,c^{9/2}\,d\,e\,f^3+48\,a^{3/2}\,b^{11}\,c^{7/2}\,d^2\,e^3\,f-72\,a^{5/2}\,b^{10}\,c^{5/2}\,d^3\,e^3\,f+176\,a^{7/2}\,b^9\,c^{3/2}\,d^4\,e^3\,f-108\,a^{9/2}\,b^8\,\sqrt{c}\,d^5\,e^3\,f+56\,a^{3/2}\,b^{11}\,c^{9/2}\,d\,e^2\,f^2+48\,a^{7/2}\,b^9\,c^{7/2}\,d^2\,e\,f^3-136\,a^{9/2}\,b^8\,c^{5/2}\,d^3\,e\,f^3+208\,a^{11/2}\,b^7\,c^{3/2}\,d^4\,e\,f^3-108\,a^{13/2}\,b^6\,\sqrt{c}\,d^5\,e\,f^3-144\,a^{5/2}\,b^{10}\,c^{7/2}\,d^2\,e^2\,f^2+224\,a^{7/2}\,b^9\,c^{5/2}\,d^3\,e^2\,f^2-320\,a^{9/2}\,b^8\,c^{3/2}\,d^4\,e^2\,f^2+168\,a^{11/2}\,b^7\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(44\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^6-24\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^6-4\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^6-16\,a^{3/2}\,b^{10}\,c^{13/2}\,f^6-24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^6-4\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^6+28\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^6+16\,\sqrt{a}\,b^{11}\,c^{13/2}\,e\,f^5+36\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^5-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^4-85\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^5+116\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^5-150\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^5+16\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^5+51\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^5-36\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f^2+36\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f^2+36\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f^2-36\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f^2+87\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^3-100\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^3+66\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^3-180\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^3+127\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^3+22\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^4+24\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^4+4\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^4+152\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^4-138\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^4\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(-4\,a^7\,b^4\,c\,d^6\,f^7+4\,a^7\,b^4\,d^7\,e\,f^6+12\,a^6\,b^5\,c^2\,d^5\,f^7-7\,a^6\,b^5\,c\,d^6\,e\,f^6-5\,a^6\,b^5\,d^7\,e^2\,f^5+12\,a^5\,b^6\,c^3\,d^4\,f^7-48\,a^5\,b^6\,c^2\,d^5\,e\,f^6+38\,a^5\,b^6\,c\,d^6\,e^2\,f^5-2\,a^5\,b^6\,d^7\,e^3\,f^4-44\,a^4\,b^7\,c^4\,d^3\,f^7+50\,a^4\,b^7\,c^3\,d^4\,e\,f^6+30\,a^4\,b^7\,c^2\,d^5\,e^2\,f^5-39\,a^4\,b^7\,c\,d^6\,e^3\,f^4+3\,a^4\,b^7\,d^7\,e^4\,f^3+24\,a^3\,b^8\,c^5\,d^2\,f^7+52\,a^3\,b^8\,c^4\,d^3\,e\,f^6-124\,a^3\,b^8\,c^3\,d^4\,e^2\,f^5+36\,a^3\,b^8\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^8\,c\,d^6\,e^4\,f^3-51\,a^2\,b^9\,c^5\,d^2\,e\,f^6+31\,a^2\,b^9\,c^4\,d^3\,e^2\,f^5+50\,a^2\,b^9\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^9\,c^2\,d^5\,e^4\,f^3+30\,a\,b^{10}\,c^5\,d^2\,e^2\,f^5-42\,a\,b^{10}\,c^4\,d^3\,e^3\,f^4+12\,a\,b^{10}\,c^3\,d^4\,e^4\,f^3-3\,b^{11}\,c^5\,d^2\,e^3\,f^4+3\,b^{11}\,c^4\,d^3\,e^4\,f^3\right)}{d^{18}\,e^8}-\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(4\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^8+4\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^8-4\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^8-4\,a^{3/2}\,b^9\,c^{13/2}\,d\,f^8+4\,\sqrt{a}\,b^{10}\,c^{13/2}\,d\,e\,f^7+23\,a^{3/2}\,b^9\,c^{11/2}\,d^2\,e\,f^7-32\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^7+10\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^7-32\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^7+23\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^7+4\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^7-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^4+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^4+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^4-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^4+31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^5-28\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^5-6\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^5-28\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^5+31\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^5-23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d^2\,e^2\,f^6-3\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^6+26\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^6+26\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^6-3\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^6-23\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^6\right)}{d^{18}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^7\,f^8-8\,a^7\,b^3\,d^8\,e\,f^7-30\,a^6\,b^4\,c^2\,d^6\,f^8+12\,a^6\,b^4\,c\,d^7\,e\,f^7+18\,a^6\,b^4\,d^8\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^5\,f^8-36\,a^5\,b^5\,c^2\,d^6\,e\,f^7-23\,a^5\,b^5\,c\,d^7\,e^2\,f^6-13\,a^5\,b^5\,d^8\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^4\,f^8+32\,a^4\,b^6\,c^3\,d^5\,e\,f^7+74\,a^4\,b^6\,c^2\,d^6\,e^2\,f^6-9\,a^4\,b^6\,c\,d^7\,e^3\,f^5+3\,a^4\,b^6\,d^8\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^3\,f^8+32\,a^3\,b^7\,c^4\,d^4\,e\,f^7-138\,a^3\,b^7\,c^3\,d^5\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^6\,e^3\,f^5+12\,a^3\,b^7\,c\,d^7\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d^2\,f^8-36\,a^2\,b^8\,c^5\,d^3\,e\,f^7+74\,a^2\,b^8\,c^4\,d^4\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^5\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^6\,e^4\,f^4+8\,a\,b^9\,c^7\,d\,f^8+12\,a\,b^9\,c^6\,d^2\,e\,f^7-23\,a\,b^9\,c^5\,d^3\,e^2\,f^6-9\,a\,b^9\,c^4\,d^4\,e^3\,f^5+12\,a\,b^9\,c^3\,d^5\,e^4\,f^4-8\,b^{10}\,c^7\,d\,e\,f^7+18\,b^{10}\,c^6\,d^2\,e^2\,f^6-13\,b^{10}\,c^5\,d^3\,e^3\,f^5+3\,b^{10}\,c^4\,d^4\,e^4\,f^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^7-40\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^7-72\,a^{11/2}\,b^5\,c^{5/2}\,d^5\,f^7+16\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^7+92\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^6+36\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^6+52\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^6-16\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^6-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^3+12\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^4+52\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^4+60\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^4+8\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^4-64\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^5+28\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^5+156\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^5-140\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^5+20\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^5\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^8\,b^3\,d^7\,f^6+4\,a^7\,b^4\,c\,d^6\,f^6-60\,a^7\,b^4\,d^7\,e\,f^5-48\,a^6\,b^5\,c^2\,d^5\,f^6+116\,a^6\,b^5\,c\,d^6\,e\,f^5+101\,a^6\,b^5\,d^7\,e^2\,f^4+136\,a^5\,b^6\,c^3\,d^4\,f^6-208\,a^5\,b^6\,c^2\,d^5\,e\,f^5-156\,a^5\,b^6\,c\,d^6\,e^2\,f^4-58\,a^5\,b^6\,d^7\,e^3\,f^3-240\,a^4\,b^7\,c^4\,d^3\,f^6+288\,a^4\,b^7\,c^3\,d^4\,e\,f^5+238\,a^4\,b^7\,c^2\,d^5\,e^2\,f^4+9\,a^4\,b^7\,d^7\,e^4\,f^2+228\,a^3\,b^8\,c^5\,d^2\,f^6-132\,a^3\,b^8\,c^4\,d^3\,e\,f^5-428\,a^3\,b^8\,c^3\,d^4\,e^2\,f^4+108\,a^3\,b^8\,c^2\,d^5\,e^3\,f^3+36\,a^3\,b^8\,c\,d^6\,e^4\,f^2-120\,a^2\,b^9\,c^6\,d\,f^6-20\,a^2\,b^9\,c^5\,d^2\,e\,f^5+333\,a^2\,b^9\,c^4\,d^3\,e^2\,f^4-32\,a^2\,b^9\,c^3\,d^4\,e^3\,f^3-90\,a^2\,b^9\,c^2\,d^5\,e^4\,f^2+32\,a\,b^{10}\,c^7\,f^6+48\,a\,b^{10}\,c^6\,d\,e\,f^5-160\,a\,b^{10}\,c^5\,d^2\,e^2\,f^4+30\,a\,b^{10}\,c^4\,d^3\,e^3\,f^3+36\,a\,b^{10}\,c^3\,d^4\,e^4\,f^2-32\,b^{11}\,c^7\,e\,f^5+72\,b^{11}\,c^6\,d\,e^2\,f^4-48\,b^{11}\,c^5\,d^2\,e^3\,f^3+9\,b^{11}\,c^4\,d^3\,e^4\,f^2\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(-4\,a^8\,b^4\,d^6\,f^5+21\,a^7\,b^5\,d^6\,e\,f^4+60\,a^6\,b^6\,c^2\,d^4\,f^5-72\,a^6\,b^6\,c\,d^5\,e\,f^4-27\,a^6\,b^6\,d^6\,e^2\,f^3-100\,a^5\,b^7\,c^3\,d^3\,f^5-46\,a^5\,b^7\,c^2\,d^4\,e\,f^4+156\,a^5\,b^7\,c\,d^5\,e^2\,f^3+7\,a^5\,b^7\,d^6\,e^3\,f^2+24\,a^4\,b^8\,c^4\,d^2\,f^5+232\,a^4\,b^8\,c^3\,d^3\,e\,f^4-118\,a^4\,b^8\,c^2\,d^4\,e^2\,f^3-96\,a^4\,b^8\,c\,d^5\,e^3\,f^2+3\,a^4\,b^8\,d^6\,e^4\,f+36\,a^3\,b^9\,c^5\,d\,f^5-111\,a^3\,b^9\,c^4\,d^2\,e\,f^4-152\,a^3\,b^9\,c^3\,d^3\,e^2\,f^3+134\,a^3\,b^9\,c^2\,d^4\,e^3\,f^2+12\,a^3\,b^9\,c\,d^5\,e^4\,f-16\,a^2\,b^{10}\,c^6\,f^5-56\,a^2\,b^{10}\,c^5\,d\,e\,f^4+153\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^3+8\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f^2-30\,a^2\,b^{10}\,c^2\,d^4\,e^4\,f+32\,a\,b^{11}\,c^6\,e\,f^4+4\,a\,b^{11}\,c^5\,d\,e^2\,f^3-69\,a\,b^{11}\,c^4\,d^2\,e^3\,f^2+12\,a\,b^{11}\,c^3\,d^3\,e^4\,f-16\,b^{12}\,c^6\,e^2\,f^3+16\,b^{12}\,c^5\,d\,e^3\,f^2+3\,b^{12}\,c^4\,d^2\,e^4\,f\right)}{d^{18}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(240\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^5-296\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^5+112\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^5+24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^5-16\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^5-64\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^5+128\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^4+12\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f-12\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f-12\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f+12\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^3-416\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^4+300\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^4+220\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^4-316\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^4+84\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^4+64\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^2-316\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^2+468\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^2-244\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^2+28\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^2+112\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^3+300\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^3-788\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^3+548\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^3-108\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^3\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(34\,a^8\,b^4\,d^6\,f^4-120\,a^7\,b^5\,c\,d^5\,f^4-104\,a^7\,b^5\,d^6\,e\,f^3+236\,a^6\,b^6\,c^2\,d^4\,f^4+288\,a^6\,b^6\,c\,d^5\,e\,f^3+112\,a^6\,b^6\,d^6\,e^2\,f^2-312\,a^5\,b^7\,c^3\,d^3\,f^4-464\,a^5\,b^7\,c^2\,d^4\,e\,f^3-192\,a^5\,b^7\,c\,d^5\,e^2\,f^2-48\,a^5\,b^7\,d^6\,e^3\,f+258\,a^4\,b^8\,c^4\,d^2\,f^4+576\,a^4\,b^8\,c^3\,d^3\,e\,f^3+160\,a^4\,b^8\,c^2\,d^4\,e^2\,f^2+6\,a^4\,b^8\,d^6\,e^4-128\,a^3\,b^9\,c^5\,d\,f^4-456\,a^3\,b^9\,c^4\,d^2\,e\,f^3-192\,a^3\,b^9\,c^3\,d^3\,e^2\,f^2+128\,a^3\,b^9\,c^2\,d^4\,e^3\,f+24\,a^3\,b^9\,c\,d^5\,e^4+32\,a^2\,b^{10}\,c^6\,f^4+224\,a^2\,b^{10}\,c^5\,d\,e\,f^3+144\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^2-96\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f-60\,a^2\,b^{10}\,c^2\,d^4\,e^4-64\,a\,b^{11}\,c^6\,e\,f^3-64\,a\,b^{11}\,c^5\,d\,e^2\,f^2+48\,a\,b^{11}\,c^4\,d^2\,e^3\,f+24\,a\,b^{11}\,c^3\,d^3\,e^4+32\,b^{12}\,c^6\,e^2\,f^2-32\,b^{12}\,c^5\,d\,e^3\,f+6\,b^{12}\,c^4\,d^2\,e^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,2{}\mathrm{i}}{\sqrt{d}\,f}+\frac{\sqrt{b}\,\left(\frac{65536\,\left(16\,a^{5/2}\,b^{10}\,c^{11/2}\,f^4+24\,\sqrt{a}\,b^{12}\,c^{7/2}\,d^2\,e^4-24\,a^{3/2}\,b^{11}\,c^{5/2}\,d^3\,e^4-24\,a^{5/2}\,b^{10}\,c^{3/2}\,d^4\,e^4+24\,a^{7/2}\,b^9\,\sqrt{c}\,d^5\,e^4+24\,a^{9/2}\,b^8\,c^{7/2}\,d^2\,f^4+8\,a^{11/2}\,b^7\,c^{5/2}\,d^3\,f^4-40\,a^{13/2}\,b^6\,c^{3/2}\,d^4\,f^4+24\,a^{15/2}\,b^5\,\sqrt{c}\,d^5\,f^4+16\,\sqrt{a}\,b^{12}\,c^{11/2}\,e^2\,f^2-32\,a^{7/2}\,b^9\,c^{9/2}\,d\,f^4-32\,a^{3/2}\,b^{11}\,c^{11/2}\,e\,f^3-44\,\sqrt{a}\,b^{12}\,c^{9/2}\,d\,e^3\,f+20\,a^{5/2}\,b^{10}\,c^{9/2}\,d\,e\,f^3+48\,a^{3/2}\,b^{11}\,c^{7/2}\,d^2\,e^3\,f-72\,a^{5/2}\,b^{10}\,c^{5/2}\,d^3\,e^3\,f+176\,a^{7/2}\,b^9\,c^{3/2}\,d^4\,e^3\,f-108\,a^{9/2}\,b^8\,\sqrt{c}\,d^5\,e^3\,f+56\,a^{3/2}\,b^{11}\,c^{9/2}\,d\,e^2\,f^2+48\,a^{7/2}\,b^9\,c^{7/2}\,d^2\,e\,f^3-136\,a^{9/2}\,b^8\,c^{5/2}\,d^3\,e\,f^3+208\,a^{11/2}\,b^7\,c^{3/2}\,d^4\,e\,f^3-108\,a^{13/2}\,b^6\,\sqrt{c}\,d^5\,e\,f^3-144\,a^{5/2}\,b^{10}\,c^{7/2}\,d^2\,e^2\,f^2+224\,a^{7/2}\,b^9\,c^{5/2}\,d^3\,e^2\,f^2-320\,a^{9/2}\,b^8\,c^{3/2}\,d^4\,e^2\,f^2+168\,a^{11/2}\,b^7\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(-4\,a^8\,b^4\,d^6\,f^5+21\,a^7\,b^5\,d^6\,e\,f^4+60\,a^6\,b^6\,c^2\,d^4\,f^5-72\,a^6\,b^6\,c\,d^5\,e\,f^4-27\,a^6\,b^6\,d^6\,e^2\,f^3-100\,a^5\,b^7\,c^3\,d^3\,f^5-46\,a^5\,b^7\,c^2\,d^4\,e\,f^4+156\,a^5\,b^7\,c\,d^5\,e^2\,f^3+7\,a^5\,b^7\,d^6\,e^3\,f^2+24\,a^4\,b^8\,c^4\,d^2\,f^5+232\,a^4\,b^8\,c^3\,d^3\,e\,f^4-118\,a^4\,b^8\,c^2\,d^4\,e^2\,f^3-96\,a^4\,b^8\,c\,d^5\,e^3\,f^2+3\,a^4\,b^8\,d^6\,e^4\,f+36\,a^3\,b^9\,c^5\,d\,f^5-111\,a^3\,b^9\,c^4\,d^2\,e\,f^4-152\,a^3\,b^9\,c^3\,d^3\,e^2\,f^3+134\,a^3\,b^9\,c^2\,d^4\,e^3\,f^2+12\,a^3\,b^9\,c\,d^5\,e^4\,f-16\,a^2\,b^{10}\,c^6\,f^5-56\,a^2\,b^{10}\,c^5\,d\,e\,f^4+153\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^3+8\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f^2-30\,a^2\,b^{10}\,c^2\,d^4\,e^4\,f+32\,a\,b^{11}\,c^6\,e\,f^4+4\,a\,b^{11}\,c^5\,d\,e^2\,f^3-69\,a\,b^{11}\,c^4\,d^2\,e^3\,f^2+12\,a\,b^{11}\,c^3\,d^3\,e^4\,f-16\,b^{12}\,c^6\,e^2\,f^3+16\,b^{12}\,c^5\,d\,e^3\,f^2+3\,b^{12}\,c^4\,d^2\,e^4\,f\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(44\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^6-24\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^6-4\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^6-16\,a^{3/2}\,b^{10}\,c^{13/2}\,f^6-24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^6-4\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^6+28\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^6+16\,\sqrt{a}\,b^{11}\,c^{13/2}\,e\,f^5+36\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^5-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^4-85\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^5+116\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^5-150\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^5+16\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^5+51\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^5-36\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f^2+36\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f^2+36\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f^2-36\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f^2+87\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^3-100\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^3+66\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^3-180\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^3+127\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^3+22\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^4+24\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^4+4\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^4+152\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^4-138\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^4\right)}{d^{18}\,e^8}-\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(-4\,a^7\,b^4\,c\,d^6\,f^7+4\,a^7\,b^4\,d^7\,e\,f^6+12\,a^6\,b^5\,c^2\,d^5\,f^7-7\,a^6\,b^5\,c\,d^6\,e\,f^6-5\,a^6\,b^5\,d^7\,e^2\,f^5+12\,a^5\,b^6\,c^3\,d^4\,f^7-48\,a^5\,b^6\,c^2\,d^5\,e\,f^6+38\,a^5\,b^6\,c\,d^6\,e^2\,f^5-2\,a^5\,b^6\,d^7\,e^3\,f^4-44\,a^4\,b^7\,c^4\,d^3\,f^7+50\,a^4\,b^7\,c^3\,d^4\,e\,f^6+30\,a^4\,b^7\,c^2\,d^5\,e^2\,f^5-39\,a^4\,b^7\,c\,d^6\,e^3\,f^4+3\,a^4\,b^7\,d^7\,e^4\,f^3+24\,a^3\,b^8\,c^5\,d^2\,f^7+52\,a^3\,b^8\,c^4\,d^3\,e\,f^6-124\,a^3\,b^8\,c^3\,d^4\,e^2\,f^5+36\,a^3\,b^8\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^8\,c\,d^6\,e^4\,f^3-51\,a^2\,b^9\,c^5\,d^2\,e\,f^6+31\,a^2\,b^9\,c^4\,d^3\,e^2\,f^5+50\,a^2\,b^9\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^9\,c^2\,d^5\,e^4\,f^3+30\,a\,b^{10}\,c^5\,d^2\,e^2\,f^5-42\,a\,b^{10}\,c^4\,d^3\,e^3\,f^4+12\,a\,b^{10}\,c^3\,d^4\,e^4\,f^3-3\,b^{11}\,c^5\,d^2\,e^3\,f^4+3\,b^{11}\,c^4\,d^3\,e^4\,f^3\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(4\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^8+4\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^8-4\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^8-4\,a^{3/2}\,b^9\,c^{13/2}\,d\,f^8+4\,\sqrt{a}\,b^{10}\,c^{13/2}\,d\,e\,f^7+23\,a^{3/2}\,b^9\,c^{11/2}\,d^2\,e\,f^7-32\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^7+10\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^7-32\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^7+23\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^7+4\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^7-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^4+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^4+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^4-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^4+31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^5-28\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^5-6\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^5-28\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^5+31\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^5-23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d^2\,e^2\,f^6-3\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^6+26\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^6+26\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^6-3\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^6-23\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^6\right)}{d^{18}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^7\,f^8-8\,a^7\,b^3\,d^8\,e\,f^7-30\,a^6\,b^4\,c^2\,d^6\,f^8+12\,a^6\,b^4\,c\,d^7\,e\,f^7+18\,a^6\,b^4\,d^8\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^5\,f^8-36\,a^5\,b^5\,c^2\,d^6\,e\,f^7-23\,a^5\,b^5\,c\,d^7\,e^2\,f^6-13\,a^5\,b^5\,d^8\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^4\,f^8+32\,a^4\,b^6\,c^3\,d^5\,e\,f^7+74\,a^4\,b^6\,c^2\,d^6\,e^2\,f^6-9\,a^4\,b^6\,c\,d^7\,e^3\,f^5+3\,a^4\,b^6\,d^8\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^3\,f^8+32\,a^3\,b^7\,c^4\,d^4\,e\,f^7-138\,a^3\,b^7\,c^3\,d^5\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^6\,e^3\,f^5+12\,a^3\,b^7\,c\,d^7\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d^2\,f^8-36\,a^2\,b^8\,c^5\,d^3\,e\,f^7+74\,a^2\,b^8\,c^4\,d^4\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^5\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^6\,e^4\,f^4+8\,a\,b^9\,c^7\,d\,f^8+12\,a\,b^9\,c^6\,d^2\,e\,f^7-23\,a\,b^9\,c^5\,d^3\,e^2\,f^6-9\,a\,b^9\,c^4\,d^4\,e^3\,f^5+12\,a\,b^9\,c^3\,d^5\,e^4\,f^4-8\,b^{10}\,c^7\,d\,e\,f^7+18\,b^{10}\,c^6\,d^2\,e^2\,f^6-13\,b^{10}\,c^5\,d^3\,e^3\,f^5+3\,b^{10}\,c^4\,d^4\,e^4\,f^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^7-40\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^7-72\,a^{11/2}\,b^5\,c^{5/2}\,d^5\,f^7+16\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^7+92\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^6+36\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^6+52\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^6-16\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^6-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^3+12\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^4+52\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^4+60\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^4+8\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^4-64\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^5+28\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^5+156\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^5-140\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^5+20\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^5\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^8\,b^3\,d^7\,f^6+4\,a^7\,b^4\,c\,d^6\,f^6-60\,a^7\,b^4\,d^7\,e\,f^5-48\,a^6\,b^5\,c^2\,d^5\,f^6+116\,a^6\,b^5\,c\,d^6\,e\,f^5+101\,a^6\,b^5\,d^7\,e^2\,f^4+136\,a^5\,b^6\,c^3\,d^4\,f^6-208\,a^5\,b^6\,c^2\,d^5\,e\,f^5-156\,a^5\,b^6\,c\,d^6\,e^2\,f^4-58\,a^5\,b^6\,d^7\,e^3\,f^3-240\,a^4\,b^7\,c^4\,d^3\,f^6+288\,a^4\,b^7\,c^3\,d^4\,e\,f^5+238\,a^4\,b^7\,c^2\,d^5\,e^2\,f^4+9\,a^4\,b^7\,d^7\,e^4\,f^2+228\,a^3\,b^8\,c^5\,d^2\,f^6-132\,a^3\,b^8\,c^4\,d^3\,e\,f^5-428\,a^3\,b^8\,c^3\,d^4\,e^2\,f^4+108\,a^3\,b^8\,c^2\,d^5\,e^3\,f^3+36\,a^3\,b^8\,c\,d^6\,e^4\,f^2-120\,a^2\,b^9\,c^6\,d\,f^6-20\,a^2\,b^9\,c^5\,d^2\,e\,f^5+333\,a^2\,b^9\,c^4\,d^3\,e^2\,f^4-32\,a^2\,b^9\,c^3\,d^4\,e^3\,f^3-90\,a^2\,b^9\,c^2\,d^5\,e^4\,f^2+32\,a\,b^{10}\,c^7\,f^6+48\,a\,b^{10}\,c^6\,d\,e\,f^5-160\,a\,b^{10}\,c^5\,d^2\,e^2\,f^4+30\,a\,b^{10}\,c^4\,d^3\,e^3\,f^3+36\,a\,b^{10}\,c^3\,d^4\,e^4\,f^2-32\,b^{11}\,c^7\,e\,f^5+72\,b^{11}\,c^6\,d\,e^2\,f^4-48\,b^{11}\,c^5\,d^2\,e^3\,f^3+9\,b^{11}\,c^4\,d^3\,e^4\,f^2\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(240\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^5-296\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^5+112\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^5+24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^5-16\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^5-64\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^5+128\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^4+12\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f-12\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f-12\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f+12\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^3-416\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^4+300\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^4+220\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^4-316\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^4+84\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^4+64\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^2-316\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^2+468\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^2-244\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^2+28\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^2+112\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^3+300\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^3-788\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^3+548\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^3-108\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^3\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(34\,a^8\,b^4\,d^6\,f^4-120\,a^7\,b^5\,c\,d^5\,f^4-104\,a^7\,b^5\,d^6\,e\,f^3+236\,a^6\,b^6\,c^2\,d^4\,f^4+288\,a^6\,b^6\,c\,d^5\,e\,f^3+112\,a^6\,b^6\,d^6\,e^2\,f^2-312\,a^5\,b^7\,c^3\,d^3\,f^4-464\,a^5\,b^7\,c^2\,d^4\,e\,f^3-192\,a^5\,b^7\,c\,d^5\,e^2\,f^2-48\,a^5\,b^7\,d^6\,e^3\,f+258\,a^4\,b^8\,c^4\,d^2\,f^4+576\,a^4\,b^8\,c^3\,d^3\,e\,f^3+160\,a^4\,b^8\,c^2\,d^4\,e^2\,f^2+6\,a^4\,b^8\,d^6\,e^4-128\,a^3\,b^9\,c^5\,d\,f^4-456\,a^3\,b^9\,c^4\,d^2\,e\,f^3-192\,a^3\,b^9\,c^3\,d^3\,e^2\,f^2+128\,a^3\,b^9\,c^2\,d^4\,e^3\,f+24\,a^3\,b^9\,c\,d^5\,e^4+32\,a^2\,b^{10}\,c^6\,f^4+224\,a^2\,b^{10}\,c^5\,d\,e\,f^3+144\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^2-96\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f-60\,a^2\,b^{10}\,c^2\,d^4\,e^4-64\,a\,b^{11}\,c^6\,e\,f^3-64\,a\,b^{11}\,c^5\,d\,e^2\,f^2+48\,a\,b^{11}\,c^4\,d^2\,e^3\,f+24\,a\,b^{11}\,c^3\,d^3\,e^4+32\,b^{12}\,c^6\,e^2\,f^2-32\,b^{12}\,c^5\,d\,e^3\,f+6\,b^{12}\,c^4\,d^2\,e^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,2{}\mathrm{i}}{\sqrt{d}\,f}}{\frac{131072\,\left(-12\,a^8\,b^5\,d^5\,f^3+48\,a^7\,b^6\,c\,d^4\,f^3+36\,a^7\,b^6\,d^5\,e\,f^2-56\,a^6\,b^7\,c^2\,d^3\,f^3-144\,a^6\,b^7\,c\,d^4\,e\,f^2-36\,a^6\,b^7\,d^5\,e^2\,f+168\,a^5\,b^8\,c^2\,d^3\,e\,f^2+144\,a^5\,b^8\,c\,d^4\,e^2\,f+12\,a^5\,b^8\,d^5\,e^3+36\,a^4\,b^9\,c^4\,d\,f^3-168\,a^4\,b^9\,c^2\,d^3\,e^2\,f-48\,a^4\,b^9\,c\,d^4\,e^3-16\,a^3\,b^{10}\,c^5\,f^3-108\,a^3\,b^{10}\,c^4\,d\,e\,f^2+56\,a^3\,b^{10}\,c^2\,d^3\,e^3+48\,a^2\,b^{11}\,c^5\,e\,f^2+108\,a^2\,b^{11}\,c^4\,d\,e^2\,f-48\,a\,b^{12}\,c^5\,e^2\,f-36\,a\,b^{12}\,c^4\,d\,e^3+16\,b^{13}\,c^5\,e^3\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(16\,a^{5/2}\,b^{10}\,c^{11/2}\,f^4+24\,\sqrt{a}\,b^{12}\,c^{7/2}\,d^2\,e^4-24\,a^{3/2}\,b^{11}\,c^{5/2}\,d^3\,e^4-24\,a^{5/2}\,b^{10}\,c^{3/2}\,d^4\,e^4+24\,a^{7/2}\,b^9\,\sqrt{c}\,d^5\,e^4+24\,a^{9/2}\,b^8\,c^{7/2}\,d^2\,f^4+8\,a^{11/2}\,b^7\,c^{5/2}\,d^3\,f^4-40\,a^{13/2}\,b^6\,c^{3/2}\,d^4\,f^4+24\,a^{15/2}\,b^5\,\sqrt{c}\,d^5\,f^4+16\,\sqrt{a}\,b^{12}\,c^{11/2}\,e^2\,f^2-32\,a^{7/2}\,b^9\,c^{9/2}\,d\,f^4-32\,a^{3/2}\,b^{11}\,c^{11/2}\,e\,f^3-44\,\sqrt{a}\,b^{12}\,c^{9/2}\,d\,e^3\,f+20\,a^{5/2}\,b^{10}\,c^{9/2}\,d\,e\,f^3+48\,a^{3/2}\,b^{11}\,c^{7/2}\,d^2\,e^3\,f-72\,a^{5/2}\,b^{10}\,c^{5/2}\,d^3\,e^3\,f+176\,a^{7/2}\,b^9\,c^{3/2}\,d^4\,e^3\,f-108\,a^{9/2}\,b^8\,\sqrt{c}\,d^5\,e^3\,f+56\,a^{3/2}\,b^{11}\,c^{9/2}\,d\,e^2\,f^2+48\,a^{7/2}\,b^9\,c^{7/2}\,d^2\,e\,f^3-136\,a^{9/2}\,b^8\,c^{5/2}\,d^3\,e\,f^3+208\,a^{11/2}\,b^7\,c^{3/2}\,d^4\,e\,f^3-108\,a^{13/2}\,b^6\,\sqrt{c}\,d^5\,e\,f^3-144\,a^{5/2}\,b^{10}\,c^{7/2}\,d^2\,e^2\,f^2+224\,a^{7/2}\,b^9\,c^{5/2}\,d^3\,e^2\,f^2-320\,a^{9/2}\,b^8\,c^{3/2}\,d^4\,e^2\,f^2+168\,a^{11/2}\,b^7\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(44\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^6-24\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^6-4\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^6-16\,a^{3/2}\,b^{10}\,c^{13/2}\,f^6-24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^6-4\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^6+28\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^6+16\,\sqrt{a}\,b^{11}\,c^{13/2}\,e\,f^5+36\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^5-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^4-85\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^5+116\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^5-150\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^5+16\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^5+51\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^5-36\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f^2+36\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f^2+36\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f^2-36\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f^2+87\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^3-100\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^3+66\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^3-180\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^3+127\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^3+22\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^4+24\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^4+4\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^4+152\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^4-138\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^4\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(-4\,a^7\,b^4\,c\,d^6\,f^7+4\,a^7\,b^4\,d^7\,e\,f^6+12\,a^6\,b^5\,c^2\,d^5\,f^7-7\,a^6\,b^5\,c\,d^6\,e\,f^6-5\,a^6\,b^5\,d^7\,e^2\,f^5+12\,a^5\,b^6\,c^3\,d^4\,f^7-48\,a^5\,b^6\,c^2\,d^5\,e\,f^6+38\,a^5\,b^6\,c\,d^6\,e^2\,f^5-2\,a^5\,b^6\,d^7\,e^3\,f^4-44\,a^4\,b^7\,c^4\,d^3\,f^7+50\,a^4\,b^7\,c^3\,d^4\,e\,f^6+30\,a^4\,b^7\,c^2\,d^5\,e^2\,f^5-39\,a^4\,b^7\,c\,d^6\,e^3\,f^4+3\,a^4\,b^7\,d^7\,e^4\,f^3+24\,a^3\,b^8\,c^5\,d^2\,f^7+52\,a^3\,b^8\,c^4\,d^3\,e\,f^6-124\,a^3\,b^8\,c^3\,d^4\,e^2\,f^5+36\,a^3\,b^8\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^8\,c\,d^6\,e^4\,f^3-51\,a^2\,b^9\,c^5\,d^2\,e\,f^6+31\,a^2\,b^9\,c^4\,d^3\,e^2\,f^5+50\,a^2\,b^9\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^9\,c^2\,d^5\,e^4\,f^3+30\,a\,b^{10}\,c^5\,d^2\,e^2\,f^5-42\,a\,b^{10}\,c^4\,d^3\,e^3\,f^4+12\,a\,b^{10}\,c^3\,d^4\,e^4\,f^3-3\,b^{11}\,c^5\,d^2\,e^3\,f^4+3\,b^{11}\,c^4\,d^3\,e^4\,f^3\right)}{d^{18}\,e^8}-\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(4\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^8+4\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^8-4\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^8-4\,a^{3/2}\,b^9\,c^{13/2}\,d\,f^8+4\,\sqrt{a}\,b^{10}\,c^{13/2}\,d\,e\,f^7+23\,a^{3/2}\,b^9\,c^{11/2}\,d^2\,e\,f^7-32\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^7+10\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^7-32\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^7+23\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^7+4\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^7-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^4+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^4+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^4-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^4+31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^5-28\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^5-6\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^5-28\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^5+31\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^5-23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d^2\,e^2\,f^6-3\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^6+26\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^6+26\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^6-3\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^6-23\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^6\right)}{d^{18}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^7\,f^8-8\,a^7\,b^3\,d^8\,e\,f^7-30\,a^6\,b^4\,c^2\,d^6\,f^8+12\,a^6\,b^4\,c\,d^7\,e\,f^7+18\,a^6\,b^4\,d^8\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^5\,f^8-36\,a^5\,b^5\,c^2\,d^6\,e\,f^7-23\,a^5\,b^5\,c\,d^7\,e^2\,f^6-13\,a^5\,b^5\,d^8\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^4\,f^8+32\,a^4\,b^6\,c^3\,d^5\,e\,f^7+74\,a^4\,b^6\,c^2\,d^6\,e^2\,f^6-9\,a^4\,b^6\,c\,d^7\,e^3\,f^5+3\,a^4\,b^6\,d^8\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^3\,f^8+32\,a^3\,b^7\,c^4\,d^4\,e\,f^7-138\,a^3\,b^7\,c^3\,d^5\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^6\,e^3\,f^5+12\,a^3\,b^7\,c\,d^7\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d^2\,f^8-36\,a^2\,b^8\,c^5\,d^3\,e\,f^7+74\,a^2\,b^8\,c^4\,d^4\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^5\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^6\,e^4\,f^4+8\,a\,b^9\,c^7\,d\,f^8+12\,a\,b^9\,c^6\,d^2\,e\,f^7-23\,a\,b^9\,c^5\,d^3\,e^2\,f^6-9\,a\,b^9\,c^4\,d^4\,e^3\,f^5+12\,a\,b^9\,c^3\,d^5\,e^4\,f^4-8\,b^{10}\,c^7\,d\,e\,f^7+18\,b^{10}\,c^6\,d^2\,e^2\,f^6-13\,b^{10}\,c^5\,d^3\,e^3\,f^5+3\,b^{10}\,c^4\,d^4\,e^4\,f^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^7-40\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^7-72\,a^{11/2}\,b^5\,c^{5/2}\,d^5\,f^7+16\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^7+92\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^6+36\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^6+52\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^6-16\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^6-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^3+12\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^4+52\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^4+60\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^4+8\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^4-64\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^5+28\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^5+156\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^5-140\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^5+20\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^5\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^8\,b^3\,d^7\,f^6+4\,a^7\,b^4\,c\,d^6\,f^6-60\,a^7\,b^4\,d^7\,e\,f^5-48\,a^6\,b^5\,c^2\,d^5\,f^6+116\,a^6\,b^5\,c\,d^6\,e\,f^5+101\,a^6\,b^5\,d^7\,e^2\,f^4+136\,a^5\,b^6\,c^3\,d^4\,f^6-208\,a^5\,b^6\,c^2\,d^5\,e\,f^5-156\,a^5\,b^6\,c\,d^6\,e^2\,f^4-58\,a^5\,b^6\,d^7\,e^3\,f^3-240\,a^4\,b^7\,c^4\,d^3\,f^6+288\,a^4\,b^7\,c^3\,d^4\,e\,f^5+238\,a^4\,b^7\,c^2\,d^5\,e^2\,f^4+9\,a^4\,b^7\,d^7\,e^4\,f^2+228\,a^3\,b^8\,c^5\,d^2\,f^6-132\,a^3\,b^8\,c^4\,d^3\,e\,f^5-428\,a^3\,b^8\,c^3\,d^4\,e^2\,f^4+108\,a^3\,b^8\,c^2\,d^5\,e^3\,f^3+36\,a^3\,b^8\,c\,d^6\,e^4\,f^2-120\,a^2\,b^9\,c^6\,d\,f^6-20\,a^2\,b^9\,c^5\,d^2\,e\,f^5+333\,a^2\,b^9\,c^4\,d^3\,e^2\,f^4-32\,a^2\,b^9\,c^3\,d^4\,e^3\,f^3-90\,a^2\,b^9\,c^2\,d^5\,e^4\,f^2+32\,a\,b^{10}\,c^7\,f^6+48\,a\,b^{10}\,c^6\,d\,e\,f^5-160\,a\,b^{10}\,c^5\,d^2\,e^2\,f^4+30\,a\,b^{10}\,c^4\,d^3\,e^3\,f^3+36\,a\,b^{10}\,c^3\,d^4\,e^4\,f^2-32\,b^{11}\,c^7\,e\,f^5+72\,b^{11}\,c^6\,d\,e^2\,f^4-48\,b^{11}\,c^5\,d^2\,e^3\,f^3+9\,b^{11}\,c^4\,d^3\,e^4\,f^2\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(-4\,a^8\,b^4\,d^6\,f^5+21\,a^7\,b^5\,d^6\,e\,f^4+60\,a^6\,b^6\,c^2\,d^4\,f^5-72\,a^6\,b^6\,c\,d^5\,e\,f^4-27\,a^6\,b^6\,d^6\,e^2\,f^3-100\,a^5\,b^7\,c^3\,d^3\,f^5-46\,a^5\,b^7\,c^2\,d^4\,e\,f^4+156\,a^5\,b^7\,c\,d^5\,e^2\,f^3+7\,a^5\,b^7\,d^6\,e^3\,f^2+24\,a^4\,b^8\,c^4\,d^2\,f^5+232\,a^4\,b^8\,c^3\,d^3\,e\,f^4-118\,a^4\,b^8\,c^2\,d^4\,e^2\,f^3-96\,a^4\,b^8\,c\,d^5\,e^3\,f^2+3\,a^4\,b^8\,d^6\,e^4\,f+36\,a^3\,b^9\,c^5\,d\,f^5-111\,a^3\,b^9\,c^4\,d^2\,e\,f^4-152\,a^3\,b^9\,c^3\,d^3\,e^2\,f^3+134\,a^3\,b^9\,c^2\,d^4\,e^3\,f^2+12\,a^3\,b^9\,c\,d^5\,e^4\,f-16\,a^2\,b^{10}\,c^6\,f^5-56\,a^2\,b^{10}\,c^5\,d\,e\,f^4+153\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^3+8\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f^2-30\,a^2\,b^{10}\,c^2\,d^4\,e^4\,f+32\,a\,b^{11}\,c^6\,e\,f^4+4\,a\,b^{11}\,c^5\,d\,e^2\,f^3-69\,a\,b^{11}\,c^4\,d^2\,e^3\,f^2+12\,a\,b^{11}\,c^3\,d^3\,e^4\,f-16\,b^{12}\,c^6\,e^2\,f^3+16\,b^{12}\,c^5\,d\,e^3\,f^2+3\,b^{12}\,c^4\,d^2\,e^4\,f\right)}{d^{18}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(240\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^5-296\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^5+112\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^5+24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^5-16\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^5-64\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^5+128\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^4+12\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f-12\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f-12\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f+12\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^3-416\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^4+300\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^4+220\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^4-316\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^4+84\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^4+64\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^2-316\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^2+468\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^2-244\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^2+28\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^2+112\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^3+300\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^3-788\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^3+548\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^3-108\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^3\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(34\,a^8\,b^4\,d^6\,f^4-120\,a^7\,b^5\,c\,d^5\,f^4-104\,a^7\,b^5\,d^6\,e\,f^3+236\,a^6\,b^6\,c^2\,d^4\,f^4+288\,a^6\,b^6\,c\,d^5\,e\,f^3+112\,a^6\,b^6\,d^6\,e^2\,f^2-312\,a^5\,b^7\,c^3\,d^3\,f^4-464\,a^5\,b^7\,c^2\,d^4\,e\,f^3-192\,a^5\,b^7\,c\,d^5\,e^2\,f^2-48\,a^5\,b^7\,d^6\,e^3\,f+258\,a^4\,b^8\,c^4\,d^2\,f^4+576\,a^4\,b^8\,c^3\,d^3\,e\,f^3+160\,a^4\,b^8\,c^2\,d^4\,e^2\,f^2+6\,a^4\,b^8\,d^6\,e^4-128\,a^3\,b^9\,c^5\,d\,f^4-456\,a^3\,b^9\,c^4\,d^2\,e\,f^3-192\,a^3\,b^9\,c^3\,d^3\,e^2\,f^2+128\,a^3\,b^9\,c^2\,d^4\,e^3\,f+24\,a^3\,b^9\,c\,d^5\,e^4+32\,a^2\,b^{10}\,c^6\,f^4+224\,a^2\,b^{10}\,c^5\,d\,e\,f^3+144\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^2-96\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f-60\,a^2\,b^{10}\,c^2\,d^4\,e^4-64\,a\,b^{11}\,c^6\,e\,f^3-64\,a\,b^{11}\,c^5\,d\,e^2\,f^2+48\,a\,b^{11}\,c^4\,d^2\,e^3\,f+24\,a\,b^{11}\,c^3\,d^3\,e^4+32\,b^{12}\,c^6\,e^2\,f^2-32\,b^{12}\,c^5\,d\,e^3\,f+6\,b^{12}\,c^4\,d^2\,e^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(16\,a^{5/2}\,b^{10}\,c^{11/2}\,f^4+24\,\sqrt{a}\,b^{12}\,c^{7/2}\,d^2\,e^4-24\,a^{3/2}\,b^{11}\,c^{5/2}\,d^3\,e^4-24\,a^{5/2}\,b^{10}\,c^{3/2}\,d^4\,e^4+24\,a^{7/2}\,b^9\,\sqrt{c}\,d^5\,e^4+24\,a^{9/2}\,b^8\,c^{7/2}\,d^2\,f^4+8\,a^{11/2}\,b^7\,c^{5/2}\,d^3\,f^4-40\,a^{13/2}\,b^6\,c^{3/2}\,d^4\,f^4+24\,a^{15/2}\,b^5\,\sqrt{c}\,d^5\,f^4+16\,\sqrt{a}\,b^{12}\,c^{11/2}\,e^2\,f^2-32\,a^{7/2}\,b^9\,c^{9/2}\,d\,f^4-32\,a^{3/2}\,b^{11}\,c^{11/2}\,e\,f^3-44\,\sqrt{a}\,b^{12}\,c^{9/2}\,d\,e^3\,f+20\,a^{5/2}\,b^{10}\,c^{9/2}\,d\,e\,f^3+48\,a^{3/2}\,b^{11}\,c^{7/2}\,d^2\,e^3\,f-72\,a^{5/2}\,b^{10}\,c^{5/2}\,d^3\,e^3\,f+176\,a^{7/2}\,b^9\,c^{3/2}\,d^4\,e^3\,f-108\,a^{9/2}\,b^8\,\sqrt{c}\,d^5\,e^3\,f+56\,a^{3/2}\,b^{11}\,c^{9/2}\,d\,e^2\,f^2+48\,a^{7/2}\,b^9\,c^{7/2}\,d^2\,e\,f^3-136\,a^{9/2}\,b^8\,c^{5/2}\,d^3\,e\,f^3+208\,a^{11/2}\,b^7\,c^{3/2}\,d^4\,e\,f^3-108\,a^{13/2}\,b^6\,\sqrt{c}\,d^5\,e\,f^3-144\,a^{5/2}\,b^{10}\,c^{7/2}\,d^2\,e^2\,f^2+224\,a^{7/2}\,b^9\,c^{5/2}\,d^3\,e^2\,f^2-320\,a^{9/2}\,b^8\,c^{3/2}\,d^4\,e^2\,f^2+168\,a^{11/2}\,b^7\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(-4\,a^8\,b^4\,d^6\,f^5+21\,a^7\,b^5\,d^6\,e\,f^4+60\,a^6\,b^6\,c^2\,d^4\,f^5-72\,a^6\,b^6\,c\,d^5\,e\,f^4-27\,a^6\,b^6\,d^6\,e^2\,f^3-100\,a^5\,b^7\,c^3\,d^3\,f^5-46\,a^5\,b^7\,c^2\,d^4\,e\,f^4+156\,a^5\,b^7\,c\,d^5\,e^2\,f^3+7\,a^5\,b^7\,d^6\,e^3\,f^2+24\,a^4\,b^8\,c^4\,d^2\,f^5+232\,a^4\,b^8\,c^3\,d^3\,e\,f^4-118\,a^4\,b^8\,c^2\,d^4\,e^2\,f^3-96\,a^4\,b^8\,c\,d^5\,e^3\,f^2+3\,a^4\,b^8\,d^6\,e^4\,f+36\,a^3\,b^9\,c^5\,d\,f^5-111\,a^3\,b^9\,c^4\,d^2\,e\,f^4-152\,a^3\,b^9\,c^3\,d^3\,e^2\,f^3+134\,a^3\,b^9\,c^2\,d^4\,e^3\,f^2+12\,a^3\,b^9\,c\,d^5\,e^4\,f-16\,a^2\,b^{10}\,c^6\,f^5-56\,a^2\,b^{10}\,c^5\,d\,e\,f^4+153\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^3+8\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f^2-30\,a^2\,b^{10}\,c^2\,d^4\,e^4\,f+32\,a\,b^{11}\,c^6\,e\,f^4+4\,a\,b^{11}\,c^5\,d\,e^2\,f^3-69\,a\,b^{11}\,c^4\,d^2\,e^3\,f^2+12\,a\,b^{11}\,c^3\,d^3\,e^4\,f-16\,b^{12}\,c^6\,e^2\,f^3+16\,b^{12}\,c^5\,d\,e^3\,f^2+3\,b^{12}\,c^4\,d^2\,e^4\,f\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(44\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^6-24\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^6-4\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^6-16\,a^{3/2}\,b^{10}\,c^{13/2}\,f^6-24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^6-4\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^6+28\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^6+16\,\sqrt{a}\,b^{11}\,c^{13/2}\,e\,f^5+36\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^5-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^4-85\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^5+116\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^5-150\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^5+16\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^5+51\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^5-36\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f^2+36\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f^2+36\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f^2-36\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f^2+87\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^3-100\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^3+66\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^3-180\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^3+127\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^3+22\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^4+24\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^4+4\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^4+152\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^4-138\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^4\right)}{d^{18}\,e^8}-\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(-4\,a^7\,b^4\,c\,d^6\,f^7+4\,a^7\,b^4\,d^7\,e\,f^6+12\,a^6\,b^5\,c^2\,d^5\,f^7-7\,a^6\,b^5\,c\,d^6\,e\,f^6-5\,a^6\,b^5\,d^7\,e^2\,f^5+12\,a^5\,b^6\,c^3\,d^4\,f^7-48\,a^5\,b^6\,c^2\,d^5\,e\,f^6+38\,a^5\,b^6\,c\,d^6\,e^2\,f^5-2\,a^5\,b^6\,d^7\,e^3\,f^4-44\,a^4\,b^7\,c^4\,d^3\,f^7+50\,a^4\,b^7\,c^3\,d^4\,e\,f^6+30\,a^4\,b^7\,c^2\,d^5\,e^2\,f^5-39\,a^4\,b^7\,c\,d^6\,e^3\,f^4+3\,a^4\,b^7\,d^7\,e^4\,f^3+24\,a^3\,b^8\,c^5\,d^2\,f^7+52\,a^3\,b^8\,c^4\,d^3\,e\,f^6-124\,a^3\,b^8\,c^3\,d^4\,e^2\,f^5+36\,a^3\,b^8\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^8\,c\,d^6\,e^4\,f^3-51\,a^2\,b^9\,c^5\,d^2\,e\,f^6+31\,a^2\,b^9\,c^4\,d^3\,e^2\,f^5+50\,a^2\,b^9\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^9\,c^2\,d^5\,e^4\,f^3+30\,a\,b^{10}\,c^5\,d^2\,e^2\,f^5-42\,a\,b^{10}\,c^4\,d^3\,e^3\,f^4+12\,a\,b^{10}\,c^3\,d^4\,e^4\,f^3-3\,b^{11}\,c^5\,d^2\,e^3\,f^4+3\,b^{11}\,c^4\,d^3\,e^4\,f^3\right)}{d^{18}\,e^8}+\frac{2\,\sqrt{b}\,\left(\frac{65536\,\left(4\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^8+4\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^8-4\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^8-4\,a^{3/2}\,b^9\,c^{13/2}\,d\,f^8+4\,\sqrt{a}\,b^{10}\,c^{13/2}\,d\,e\,f^7+23\,a^{3/2}\,b^9\,c^{11/2}\,d^2\,e\,f^7-32\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^7+10\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^7-32\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^7+23\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^7+4\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^7-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^4+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^4+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^4-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^4+31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^5-28\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^5-6\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^5-28\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^5+31\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^5-23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d^2\,e^2\,f^6-3\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^6+26\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^6+26\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^6-3\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^6-23\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^6\right)}{d^{18}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^7\,f^8-8\,a^7\,b^3\,d^8\,e\,f^7-30\,a^6\,b^4\,c^2\,d^6\,f^8+12\,a^6\,b^4\,c\,d^7\,e\,f^7+18\,a^6\,b^4\,d^8\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^5\,f^8-36\,a^5\,b^5\,c^2\,d^6\,e\,f^7-23\,a^5\,b^5\,c\,d^7\,e^2\,f^6-13\,a^5\,b^5\,d^8\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^4\,f^8+32\,a^4\,b^6\,c^3\,d^5\,e\,f^7+74\,a^4\,b^6\,c^2\,d^6\,e^2\,f^6-9\,a^4\,b^6\,c\,d^7\,e^3\,f^5+3\,a^4\,b^6\,d^8\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^3\,f^8+32\,a^3\,b^7\,c^4\,d^4\,e\,f^7-138\,a^3\,b^7\,c^3\,d^5\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^6\,e^3\,f^5+12\,a^3\,b^7\,c\,d^7\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d^2\,f^8-36\,a^2\,b^8\,c^5\,d^3\,e\,f^7+74\,a^2\,b^8\,c^4\,d^4\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^5\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^6\,e^4\,f^4+8\,a\,b^9\,c^7\,d\,f^8+12\,a\,b^9\,c^6\,d^2\,e\,f^7-23\,a\,b^9\,c^5\,d^3\,e^2\,f^6-9\,a\,b^9\,c^4\,d^4\,e^3\,f^5+12\,a\,b^9\,c^3\,d^5\,e^4\,f^4-8\,b^{10}\,c^7\,d\,e\,f^7+18\,b^{10}\,c^6\,d^2\,e^2\,f^6-13\,b^{10}\,c^5\,d^3\,e^3\,f^5+3\,b^{10}\,c^4\,d^4\,e^4\,f^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{9/2}\,b^6\,c^{7/2}\,d^4\,f^7-40\,a^{7/2}\,b^7\,c^{9/2}\,d^3\,f^7-72\,a^{11/2}\,b^5\,c^{5/2}\,d^5\,f^7+16\,a^{13/2}\,b^4\,c^{3/2}\,d^6\,f^7+92\,a^{5/2}\,b^8\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^7\,c^{7/2}\,d^4\,e\,f^6+36\,a^{9/2}\,b^6\,c^{5/2}\,d^5\,e\,f^6+52\,a^{11/2}\,b^5\,c^{3/2}\,d^6\,e\,f^6-16\,a^{13/2}\,b^4\,\sqrt{c}\,d^7\,e\,f^6-12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^9\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^8\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^7\,\sqrt{c}\,d^7\,e^4\,f^3+12\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^3\,e^3\,f^4+52\,a^{3/2}\,b^9\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^8\,c^{5/2}\,d^5\,e^3\,f^4+60\,a^{7/2}\,b^7\,c^{3/2}\,d^6\,e^3\,f^4+8\,a^{9/2}\,b^6\,\sqrt{c}\,d^7\,e^3\,f^4-64\,a^{3/2}\,b^9\,c^{9/2}\,d^3\,e^2\,f^5+28\,a^{5/2}\,b^8\,c^{7/2}\,d^4\,e^2\,f^5+156\,a^{7/2}\,b^7\,c^{5/2}\,d^5\,e^2\,f^5-140\,a^{9/2}\,b^6\,c^{3/2}\,d^6\,e^2\,f^5+20\,a^{11/2}\,b^5\,\sqrt{c}\,d^7\,e^2\,f^5\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^8\,b^3\,d^7\,f^6+4\,a^7\,b^4\,c\,d^6\,f^6-60\,a^7\,b^4\,d^7\,e\,f^5-48\,a^6\,b^5\,c^2\,d^5\,f^6+116\,a^6\,b^5\,c\,d^6\,e\,f^5+101\,a^6\,b^5\,d^7\,e^2\,f^4+136\,a^5\,b^6\,c^3\,d^4\,f^6-208\,a^5\,b^6\,c^2\,d^5\,e\,f^5-156\,a^5\,b^6\,c\,d^6\,e^2\,f^4-58\,a^5\,b^6\,d^7\,e^3\,f^3-240\,a^4\,b^7\,c^4\,d^3\,f^6+288\,a^4\,b^7\,c^3\,d^4\,e\,f^5+238\,a^4\,b^7\,c^2\,d^5\,e^2\,f^4+9\,a^4\,b^7\,d^7\,e^4\,f^2+228\,a^3\,b^8\,c^5\,d^2\,f^6-132\,a^3\,b^8\,c^4\,d^3\,e\,f^5-428\,a^3\,b^8\,c^3\,d^4\,e^2\,f^4+108\,a^3\,b^8\,c^2\,d^5\,e^3\,f^3+36\,a^3\,b^8\,c\,d^6\,e^4\,f^2-120\,a^2\,b^9\,c^6\,d\,f^6-20\,a^2\,b^9\,c^5\,d^2\,e\,f^5+333\,a^2\,b^9\,c^4\,d^3\,e^2\,f^4-32\,a^2\,b^9\,c^3\,d^4\,e^3\,f^3-90\,a^2\,b^9\,c^2\,d^5\,e^4\,f^2+32\,a\,b^{10}\,c^7\,f^6+48\,a\,b^{10}\,c^6\,d\,e\,f^5-160\,a\,b^{10}\,c^5\,d^2\,e^2\,f^4+30\,a\,b^{10}\,c^4\,d^3\,e^3\,f^3+36\,a\,b^{10}\,c^3\,d^4\,e^4\,f^2-32\,b^{11}\,c^7\,e\,f^5+72\,b^{11}\,c^6\,d\,e^2\,f^4-48\,b^{11}\,c^5\,d^2\,e^3\,f^3+9\,b^{11}\,c^4\,d^3\,e^4\,f^2\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(240\,a^{7/2}\,b^8\,c^{9/2}\,d^2\,f^5-296\,a^{9/2}\,b^7\,c^{7/2}\,d^3\,f^5+112\,a^{11/2}\,b^6\,c^{5/2}\,d^4\,f^5+24\,a^{13/2}\,b^5\,c^{3/2}\,d^5\,f^5-16\,a^{15/2}\,b^4\,\sqrt{c}\,d^6\,f^5-64\,a^{5/2}\,b^9\,c^{11/2}\,d\,f^5+128\,a^{3/2}\,b^{10}\,c^{11/2}\,d\,e\,f^4+12\,\sqrt{a}\,b^{11}\,c^{7/2}\,d^3\,e^4\,f-12\,a^{3/2}\,b^{10}\,c^{5/2}\,d^4\,e^4\,f-12\,a^{5/2}\,b^9\,c^{3/2}\,d^5\,e^4\,f+12\,a^{7/2}\,b^8\,\sqrt{c}\,d^6\,e^4\,f-64\,\sqrt{a}\,b^{11}\,c^{11/2}\,d\,e^2\,f^3-416\,a^{5/2}\,b^9\,c^{9/2}\,d^2\,e\,f^4+300\,a^{7/2}\,b^8\,c^{7/2}\,d^3\,e\,f^4+220\,a^{9/2}\,b^7\,c^{5/2}\,d^4\,e\,f^4-316\,a^{11/2}\,b^6\,c^{3/2}\,d^5\,e\,f^4+84\,a^{13/2}\,b^5\,\sqrt{c}\,d^6\,e\,f^4+64\,\sqrt{a}\,b^{11}\,c^{9/2}\,d^2\,e^3\,f^2-316\,a^{3/2}\,b^{10}\,c^{7/2}\,d^3\,e^3\,f^2+468\,a^{5/2}\,b^9\,c^{5/2}\,d^4\,e^3\,f^2-244\,a^{7/2}\,b^8\,c^{3/2}\,d^5\,e^3\,f^2+28\,a^{9/2}\,b^7\,\sqrt{c}\,d^6\,e^3\,f^2+112\,a^{3/2}\,b^{10}\,c^{9/2}\,d^2\,e^2\,f^3+300\,a^{5/2}\,b^9\,c^{7/2}\,d^3\,e^2\,f^3-788\,a^{7/2}\,b^8\,c^{5/2}\,d^4\,e^2\,f^3+548\,a^{9/2}\,b^7\,c^{3/2}\,d^5\,e^2\,f^3-108\,a^{11/2}\,b^6\,\sqrt{c}\,d^6\,e^2\,f^3\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(34\,a^8\,b^4\,d^6\,f^4-120\,a^7\,b^5\,c\,d^5\,f^4-104\,a^7\,b^5\,d^6\,e\,f^3+236\,a^6\,b^6\,c^2\,d^4\,f^4+288\,a^6\,b^6\,c\,d^5\,e\,f^3+112\,a^6\,b^6\,d^6\,e^2\,f^2-312\,a^5\,b^7\,c^3\,d^3\,f^4-464\,a^5\,b^7\,c^2\,d^4\,e\,f^3-192\,a^5\,b^7\,c\,d^5\,e^2\,f^2-48\,a^5\,b^7\,d^6\,e^3\,f+258\,a^4\,b^8\,c^4\,d^2\,f^4+576\,a^4\,b^8\,c^3\,d^3\,e\,f^3+160\,a^4\,b^8\,c^2\,d^4\,e^2\,f^2+6\,a^4\,b^8\,d^6\,e^4-128\,a^3\,b^9\,c^5\,d\,f^4-456\,a^3\,b^9\,c^4\,d^2\,e\,f^3-192\,a^3\,b^9\,c^3\,d^3\,e^2\,f^2+128\,a^3\,b^9\,c^2\,d^4\,e^3\,f+24\,a^3\,b^9\,c\,d^5\,e^4+32\,a^2\,b^{10}\,c^6\,f^4+224\,a^2\,b^{10}\,c^5\,d\,e\,f^3+144\,a^2\,b^{10}\,c^4\,d^2\,e^2\,f^2-96\,a^2\,b^{10}\,c^3\,d^3\,e^3\,f-60\,a^2\,b^{10}\,c^2\,d^4\,e^4-64\,a\,b^{11}\,c^6\,e\,f^3-64\,a\,b^{11}\,c^5\,d\,e^2\,f^2+48\,a\,b^{11}\,c^4\,d^2\,e^3\,f+24\,a\,b^{11}\,c^3\,d^3\,e^4+32\,b^{12}\,c^6\,e^2\,f^2-32\,b^{12}\,c^5\,d\,e^3\,f+6\,b^{12}\,c^4\,d^2\,e^4\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{d}\,f}+\frac{131072\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(240\,a^{3/2}\,b^{11}\,c^{7/2}\,d^2\,e^3-336\,a^{5/2}\,b^{10}\,c^{5/2}\,d^3\,e^3+208\,a^{7/2}\,b^9\,c^{3/2}\,d^4\,e^3-48\,a^{9/2}\,b^8\,\sqrt{c}\,d^5\,e^3-240\,a^{9/2}\,b^8\,c^{7/2}\,d^2\,f^3+336\,a^{11/2}\,b^7\,c^{5/2}\,d^3\,f^3-208\,a^{13/2}\,b^6\,c^{3/2}\,d^4\,f^3+48\,a^{15/2}\,b^5\,\sqrt{c}\,d^5\,f^3-64\,\sqrt{a}\,b^{12}\,c^{9/2}\,d\,e^3+64\,a^{7/2}\,b^9\,c^{9/2}\,d\,f^3+192\,a^{3/2}\,b^{11}\,c^{9/2}\,d\,e^2\,f-192\,a^{5/2}\,b^{10}\,c^{9/2}\,d\,e\,f^2-720\,a^{5/2}\,b^{10}\,c^{7/2}\,d^2\,e^2\,f+1008\,a^{7/2}\,b^9\,c^{5/2}\,d^3\,e^2\,f-624\,a^{9/2}\,b^8\,c^{3/2}\,d^4\,e^2\,f+144\,a^{11/2}\,b^7\,\sqrt{c}\,d^5\,e^2\,f+720\,a^{7/2}\,b^9\,c^{7/2}\,d^2\,e\,f^2-1008\,a^{9/2}\,b^8\,c^{5/2}\,d^3\,e\,f^2+624\,a^{11/2}\,b^7\,c^{3/2}\,d^4\,e\,f^2-144\,a^{13/2}\,b^6\,\sqrt{c}\,d^5\,e\,f^2\right)}{d^{18}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}\right)\,4{}\mathrm{i}}{\sqrt{d}\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(16\,a^{5/2}\,b^6\,c^{7/2}\,f^3+48\,a^{5/2}\,b^6\,\sqrt{c}\,d^3\,e^3+16\,a^{9/2}\,b^4\,c^{3/2}\,d^2\,f^3+48\,\sqrt{a}\,b^8\,c^{5/2}\,d\,e^3-128\,a^{7/2}\,b^5\,c^{5/2}\,d\,f^3+16\,\sqrt{a}\,b^8\,c^{7/2}\,e^2\,f-32\,a^{3/2}\,b^7\,c^{7/2}\,e\,f^2-200\,a^{3/2}\,b^7\,c^{5/2}\,d\,e^2\,f+280\,a^{5/2}\,b^6\,c^{5/2}\,d\,e\,f^2-32\,a^{5/2}\,b^6\,c^{3/2}\,d^2\,e^2\,f-72\,a^{7/2}\,b^5\,\sqrt{c}\,d^3\,e^2\,f+16\,a^{7/2}\,b^5\,c^{3/2}\,d^2\,e\,f^2+24\,a^{9/2}\,b^4\,\sqrt{c}\,d^3\,e\,f^2\right)}{d^{12}\,e^6}+\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(24\,a^5\,b^3\,c\,d^3\,f^4+4\,a^5\,b^3\,d^4\,e\,f^3+16\,a^4\,b^4\,c^2\,d^2\,f^4-84\,a^4\,b^4\,c\,d^3\,e\,f^3-29\,a^4\,b^4\,d^4\,e^2\,f^2+88\,a^3\,b^5\,c^3\,d\,f^4-172\,a^3\,b^5\,c^2\,d^2\,e\,f^3+174\,a^3\,b^5\,c\,d^3\,e^2\,f^2+30\,a^3\,b^5\,d^4\,e^3\,f+16\,a^2\,b^6\,c^4\,f^4-164\,a^2\,b^6\,c^3\,d\,e\,f^3+219\,a^2\,b^6\,c^2\,d^2\,e^2\,f^2-120\,a^2\,b^6\,c\,d^3\,e^3\,f-9\,a^2\,b^6\,d^4\,e^4-16\,a\,b^7\,c^4\,e\,f^3+68\,a\,b^7\,c^3\,d\,e^2\,f^2-66\,a\,b^7\,c^2\,d^2\,e^3\,f+18\,a\,b^7\,c\,d^3\,e^4+12\,b^8\,c^3\,d\,e^3\,f-9\,b^8\,c^2\,d^2\,e^4\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(16\,a^{3/2}\,b^6\,c^{9/2}\,f^5-16\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^5-16\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^4+8\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^4-8\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^4+40\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^4+30\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f^2+18\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^3+20\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^3-30\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{12}\,e^6}+\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^3\,f^6+4\,a^4\,b^3\,c\,d^4\,e\,f^5-16\,a^4\,b^3\,d^5\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d^2\,f^6-76\,a^3\,b^4\,c^2\,d^3\,e\,f^5+29\,a^3\,b^4\,c\,d^4\,e^2\,f^4+24\,a^3\,b^4\,d^5\,e^3\,f^3+12\,a^2\,b^5\,c^4\,d\,f^6-76\,a^2\,b^5\,c^3\,d^2\,e\,f^5+118\,a^2\,b^5\,c^2\,d^3\,e^2\,f^4-48\,a^2\,b^5\,c\,d^4\,e^3\,f^3-9\,a^2\,b^5\,d^5\,e^4\,f^2+4\,a\,b^6\,c^4\,d\,e\,f^5+29\,a\,b^6\,c^3\,d^2\,e^2\,f^4-48\,a\,b^6\,c^2\,d^3\,e^3\,f^3+18\,a\,b^6\,c\,d^4\,e^4\,f^2-16\,b^7\,c^4\,d\,e^2\,f^4+24\,b^7\,c^3\,d^2\,e^3\,f^3-9\,b^7\,c^2\,d^3\,e^4\,f^2\right)}{d^{12}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^5\,f^6-32\,a^5\,b\,d^6\,e\,f^5+12\,a^4\,b^2\,c^2\,d^4\,f^6-76\,a^4\,b^2\,c\,d^5\,e\,f^5+64\,a^4\,b^2\,d^6\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^3\,f^6+36\,a^3\,b^3\,c^2\,d^4\,e\,f^5+47\,a^3\,b^3\,c\,d^5\,e^2\,f^4-42\,a^3\,b^3\,d^6\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d^2\,f^6+36\,a^2\,b^4\,c^3\,d^3\,e\,f^5-78\,a^2\,b^4\,c^2\,d^4\,e^2\,f^4+18\,a^2\,b^4\,c\,d^5\,e^3\,f^3+9\,a^2\,b^4\,d^6\,e^4\,f^2+32\,a\,b^5\,c^5\,d\,f^6-76\,a\,b^5\,c^4\,d^2\,e\,f^5+47\,a\,b^5\,c^3\,d^3\,e^2\,f^4+18\,a\,b^5\,c^2\,d^4\,e^3\,f^3-18\,a\,b^5\,c\,d^5\,e^4\,f^2-32\,b^6\,c^5\,d\,e\,f^5+64\,b^6\,c^4\,d^2\,e^2\,f^4-42\,b^6\,c^3\,d^3\,e^3\,f^3+9\,b^6\,c^2\,d^4\,e^4\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^6+12\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^5-20\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^3-59\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^4-13\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^4\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(40\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^5+176\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^5-120\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^5-96\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^5+96\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^4+152\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^4+40\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^4+120\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^4+90\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^5\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^2-192\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^3+142\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^3+260\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^3-210\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(20\,a^5\,b^2\,c\,d^4\,f^5-20\,a^5\,b^2\,d^5\,e\,f^4+20\,a^4\,b^3\,c^2\,d^3\,f^5-60\,a^4\,b^3\,c\,d^4\,e\,f^4+35\,a^4\,b^3\,d^5\,e^2\,f^3-116\,a^3\,b^4\,c^3\,d^2\,f^5+120\,a^3\,b^4\,c^2\,d^3\,e\,f^4+25\,a^3\,b^4\,c\,d^4\,e^2\,f^3-15\,a^3\,b^4\,d^5\,e^3\,f^2+60\,a^2\,b^5\,c^4\,d\,f^5+68\,a^2\,b^5\,c^3\,d^2\,e\,f^4-155\,a^2\,b^5\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^5\,c\,d^4\,e^3\,f^2+16\,a\,b^6\,c^5\,f^5-92\,a\,b^6\,c^4\,d\,e\,f^4+63\,a\,b^6\,c^3\,d^2\,e^2\,f^3+15\,a\,b^6\,c^2\,d^3\,e^3\,f^2-16\,b^7\,c^5\,e\,f^4+32\,b^7\,c^4\,d\,e^2\,f^3-15\,b^7\,c^3\,d^2\,e^3\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^4-52\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^4-32\,a^{3/2}\,b^6\,c^{9/2}\,f^4-36\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^4-28\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^4+32\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^3+112\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^3+42\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f+60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f+42\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f-88\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^2+130\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^3+44\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^3+114\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^3-108\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^2-120\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^2-116\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-32\,a^6\,b\,d^5\,f^4-48\,a^5\,b^2\,c\,d^4\,f^4+132\,a^5\,b^2\,d^5\,e\,f^3+144\,a^4\,b^3\,c^2\,d^3\,f^4-36\,a^4\,b^3\,c\,d^4\,e\,f^3-141\,a^4\,b^3\,d^5\,e^2\,f^2-272\,a^3\,b^4\,c^3\,d^2\,f^4+84\,a^3\,b^4\,c^2\,d^3\,e\,f^3+54\,a^3\,b^4\,c\,d^4\,e^2\,f^2+54\,a^3\,b^4\,d^5\,e^3\,f+128\,a^2\,b^5\,c^4\,d\,f^4+220\,a^2\,b^5\,c^3\,d^2\,e\,f^3-261\,a^2\,b^5\,c^2\,d^3\,e^2\,f^2-9\,a^2\,b^5\,d^5\,e^4-64\,a\,b^6\,c^5\,f^4-32\,a\,b^6\,c^4\,d\,e\,f^3+12\,a\,b^6\,c^3\,d^2\,e^2\,f^2+54\,a\,b^6\,c^2\,d^3\,e^3\,f+18\,a\,b^6\,c\,d^4\,e^4+64\,b^7\,c^5\,e\,f^3-96\,b^7\,c^4\,d\,e^2\,f^2+36\,b^7\,c^3\,d^2\,e^3\,f-9\,b^7\,c^2\,d^3\,e^4\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-20\,a^6\,b^2\,d^4\,f^3-36\,a^5\,b^3\,c\,d^3\,f^3+56\,a^5\,b^3\,d^4\,e\,f^2+164\,a^4\,b^4\,c^2\,d^2\,f^3+24\,a^4\,b^4\,c\,d^3\,e\,f^2-48\,a^4\,b^4\,d^4\,e^2\,f+4\,a^3\,b^5\,c^3\,d\,f^3-424\,a^3\,b^5\,c^2\,d^2\,e\,f^2+72\,a^3\,b^5\,c\,d^3\,e^2\,f+12\,a^3\,b^5\,d^4\,e^3-16\,a^2\,b^6\,c^4\,f^3+24\,a^2\,b^6\,c^3\,d\,e\,f^2+320\,a^2\,b^6\,c^2\,d^2\,e^2\,f-60\,a^2\,b^6\,c\,d^3\,e^3+32\,a\,b^7\,c^4\,e\,f^2-40\,a\,b^7\,c^3\,d\,e^2\,f-60\,a\,b^7\,c^2\,d^2\,e^3-16\,b^8\,c^4\,e^2\,f+12\,b^8\,c^3\,d\,e^3\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3-240\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3+72\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3+168\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^3+144\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^3-120\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^3-96\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^3-96\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f+192\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^2+672\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f-288\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f-240\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^2-576\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^2+336\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)\,1{}\mathrm{i}}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(16\,a^{5/2}\,b^6\,c^{7/2}\,f^3+48\,a^{5/2}\,b^6\,\sqrt{c}\,d^3\,e^3+16\,a^{9/2}\,b^4\,c^{3/2}\,d^2\,f^3+48\,\sqrt{a}\,b^8\,c^{5/2}\,d\,e^3-128\,a^{7/2}\,b^5\,c^{5/2}\,d\,f^3+16\,\sqrt{a}\,b^8\,c^{7/2}\,e^2\,f-32\,a^{3/2}\,b^7\,c^{7/2}\,e\,f^2-200\,a^{3/2}\,b^7\,c^{5/2}\,d\,e^2\,f+280\,a^{5/2}\,b^6\,c^{5/2}\,d\,e\,f^2-32\,a^{5/2}\,b^6\,c^{3/2}\,d^2\,e^2\,f-72\,a^{7/2}\,b^5\,\sqrt{c}\,d^3\,e^2\,f+16\,a^{7/2}\,b^5\,c^{3/2}\,d^2\,e\,f^2+24\,a^{9/2}\,b^4\,\sqrt{c}\,d^3\,e\,f^2\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(24\,a^5\,b^3\,c\,d^3\,f^4+4\,a^5\,b^3\,d^4\,e\,f^3+16\,a^4\,b^4\,c^2\,d^2\,f^4-84\,a^4\,b^4\,c\,d^3\,e\,f^3-29\,a^4\,b^4\,d^4\,e^2\,f^2+88\,a^3\,b^5\,c^3\,d\,f^4-172\,a^3\,b^5\,c^2\,d^2\,e\,f^3+174\,a^3\,b^5\,c\,d^3\,e^2\,f^2+30\,a^3\,b^5\,d^4\,e^3\,f+16\,a^2\,b^6\,c^4\,f^4-164\,a^2\,b^6\,c^3\,d\,e\,f^3+219\,a^2\,b^6\,c^2\,d^2\,e^2\,f^2-120\,a^2\,b^6\,c\,d^3\,e^3\,f-9\,a^2\,b^6\,d^4\,e^4-16\,a\,b^7\,c^4\,e\,f^3+68\,a\,b^7\,c^3\,d\,e^2\,f^2-66\,a\,b^7\,c^2\,d^2\,e^3\,f+18\,a\,b^7\,c\,d^3\,e^4+12\,b^8\,c^3\,d\,e^3\,f-9\,b^8\,c^2\,d^2\,e^4\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^3\,f^6+4\,a^4\,b^3\,c\,d^4\,e\,f^5-16\,a^4\,b^3\,d^5\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d^2\,f^6-76\,a^3\,b^4\,c^2\,d^3\,e\,f^5+29\,a^3\,b^4\,c\,d^4\,e^2\,f^4+24\,a^3\,b^4\,d^5\,e^3\,f^3+12\,a^2\,b^5\,c^4\,d\,f^6-76\,a^2\,b^5\,c^3\,d^2\,e\,f^5+118\,a^2\,b^5\,c^2\,d^3\,e^2\,f^4-48\,a^2\,b^5\,c\,d^4\,e^3\,f^3-9\,a^2\,b^5\,d^5\,e^4\,f^2+4\,a\,b^6\,c^4\,d\,e\,f^5+29\,a\,b^6\,c^3\,d^2\,e^2\,f^4-48\,a\,b^6\,c^2\,d^3\,e^3\,f^3+18\,a\,b^6\,c\,d^4\,e^4\,f^2-16\,b^7\,c^4\,d\,e^2\,f^4+24\,b^7\,c^3\,d^2\,e^3\,f^3-9\,b^7\,c^2\,d^3\,e^4\,f^2\right)}{d^{12}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^5\,f^6-32\,a^5\,b\,d^6\,e\,f^5+12\,a^4\,b^2\,c^2\,d^4\,f^6-76\,a^4\,b^2\,c\,d^5\,e\,f^5+64\,a^4\,b^2\,d^6\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^3\,f^6+36\,a^3\,b^3\,c^2\,d^4\,e\,f^5+47\,a^3\,b^3\,c\,d^5\,e^2\,f^4-42\,a^3\,b^3\,d^6\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d^2\,f^6+36\,a^2\,b^4\,c^3\,d^3\,e\,f^5-78\,a^2\,b^4\,c^2\,d^4\,e^2\,f^4+18\,a^2\,b^4\,c\,d^5\,e^3\,f^3+9\,a^2\,b^4\,d^6\,e^4\,f^2+32\,a\,b^5\,c^5\,d\,f^6-76\,a\,b^5\,c^4\,d^2\,e\,f^5+47\,a\,b^5\,c^3\,d^3\,e^2\,f^4+18\,a\,b^5\,c^2\,d^4\,e^3\,f^3-18\,a\,b^5\,c\,d^5\,e^4\,f^2-32\,b^6\,c^5\,d\,e\,f^5+64\,b^6\,c^4\,d^2\,e^2\,f^4-42\,b^6\,c^3\,d^3\,e^3\,f^3+9\,b^6\,c^2\,d^4\,e^4\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^6+12\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^5-20\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^3-59\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^4-13\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^4\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,\left(16\,a^{3/2}\,b^6\,c^{9/2}\,f^5-16\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^5-16\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^4+8\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^4-8\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^4+40\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^4+30\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f^2+18\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^3+20\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^3-30\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{12}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(40\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^5+176\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^5-120\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^5-96\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^5+96\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^4+152\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^4+40\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^4+120\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^4+90\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^5\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^2-192\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^3+142\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^3+260\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^3-210\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(20\,a^5\,b^2\,c\,d^4\,f^5-20\,a^5\,b^2\,d^5\,e\,f^4+20\,a^4\,b^3\,c^2\,d^3\,f^5-60\,a^4\,b^3\,c\,d^4\,e\,f^4+35\,a^4\,b^3\,d^5\,e^2\,f^3-116\,a^3\,b^4\,c^3\,d^2\,f^5+120\,a^3\,b^4\,c^2\,d^3\,e\,f^4+25\,a^3\,b^4\,c\,d^4\,e^2\,f^3-15\,a^3\,b^4\,d^5\,e^3\,f^2+60\,a^2\,b^5\,c^4\,d\,f^5+68\,a^2\,b^5\,c^3\,d^2\,e\,f^4-155\,a^2\,b^5\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^5\,c\,d^4\,e^3\,f^2+16\,a\,b^6\,c^5\,f^5-92\,a\,b^6\,c^4\,d\,e\,f^4+63\,a\,b^6\,c^3\,d^2\,e^2\,f^3+15\,a\,b^6\,c^2\,d^3\,e^3\,f^2-16\,b^7\,c^5\,e\,f^4+32\,b^7\,c^4\,d\,e^2\,f^3-15\,b^7\,c^3\,d^2\,e^3\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^4-52\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^4-32\,a^{3/2}\,b^6\,c^{9/2}\,f^4-36\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^4-28\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^4+32\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^3+112\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^3+42\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f+60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f+42\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f-88\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^2+130\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^3+44\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^3+114\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^3-108\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^2-120\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^2-116\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-32\,a^6\,b\,d^5\,f^4-48\,a^5\,b^2\,c\,d^4\,f^4+132\,a^5\,b^2\,d^5\,e\,f^3+144\,a^4\,b^3\,c^2\,d^3\,f^4-36\,a^4\,b^3\,c\,d^4\,e\,f^3-141\,a^4\,b^3\,d^5\,e^2\,f^2-272\,a^3\,b^4\,c^3\,d^2\,f^4+84\,a^3\,b^4\,c^2\,d^3\,e\,f^3+54\,a^3\,b^4\,c\,d^4\,e^2\,f^2+54\,a^3\,b^4\,d^5\,e^3\,f+128\,a^2\,b^5\,c^4\,d\,f^4+220\,a^2\,b^5\,c^3\,d^2\,e\,f^3-261\,a^2\,b^5\,c^2\,d^3\,e^2\,f^2-9\,a^2\,b^5\,d^5\,e^4-64\,a\,b^6\,c^5\,f^4-32\,a\,b^6\,c^4\,d\,e\,f^3+12\,a\,b^6\,c^3\,d^2\,e^2\,f^2+54\,a\,b^6\,c^2\,d^3\,e^3\,f+18\,a\,b^6\,c\,d^4\,e^4+64\,b^7\,c^5\,e\,f^3-96\,b^7\,c^4\,d\,e^2\,f^2+36\,b^7\,c^3\,d^2\,e^3\,f-9\,b^7\,c^2\,d^3\,e^4\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-20\,a^6\,b^2\,d^4\,f^3-36\,a^5\,b^3\,c\,d^3\,f^3+56\,a^5\,b^3\,d^4\,e\,f^2+164\,a^4\,b^4\,c^2\,d^2\,f^3+24\,a^4\,b^4\,c\,d^3\,e\,f^2-48\,a^4\,b^4\,d^4\,e^2\,f+4\,a^3\,b^5\,c^3\,d\,f^3-424\,a^3\,b^5\,c^2\,d^2\,e\,f^2+72\,a^3\,b^5\,c\,d^3\,e^2\,f+12\,a^3\,b^5\,d^4\,e^3-16\,a^2\,b^6\,c^4\,f^3+24\,a^2\,b^6\,c^3\,d\,e\,f^2+320\,a^2\,b^6\,c^2\,d^2\,e^2\,f-60\,a^2\,b^6\,c\,d^3\,e^3+32\,a\,b^7\,c^4\,e\,f^2-40\,a\,b^7\,c^3\,d\,e^2\,f-60\,a\,b^7\,c^2\,d^2\,e^3-16\,b^8\,c^4\,e^2\,f+12\,b^8\,c^3\,d\,e^3\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3-240\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3+72\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3+168\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^3+144\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^3-120\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^3-96\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^3-96\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f+192\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^2+672\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f-288\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f-240\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^2-576\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^2+336\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)\,1{}\mathrm{i}}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}}{\frac{2048\,\left(12\,a^6\,b^3\,d^3\,f^2+24\,a^5\,b^4\,c\,d^2\,f^2-24\,a^5\,b^4\,d^3\,e\,f-52\,a^4\,b^5\,c^2\,d\,f^2-48\,a^4\,b^5\,c\,d^2\,e\,f+12\,a^4\,b^5\,d^3\,e^2+16\,a^3\,b^6\,c^3\,f^2+104\,a^3\,b^6\,c^2\,d\,e\,f+24\,a^3\,b^6\,c\,d^2\,e^2-32\,a^2\,b^7\,c^3\,e\,f-52\,a^2\,b^7\,c^2\,d\,e^2+16\,a\,b^8\,c^3\,e^2\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(16\,a^{5/2}\,b^6\,c^{7/2}\,f^3+48\,a^{5/2}\,b^6\,\sqrt{c}\,d^3\,e^3+16\,a^{9/2}\,b^4\,c^{3/2}\,d^2\,f^3+48\,\sqrt{a}\,b^8\,c^{5/2}\,d\,e^3-128\,a^{7/2}\,b^5\,c^{5/2}\,d\,f^3+16\,\sqrt{a}\,b^8\,c^{7/2}\,e^2\,f-32\,a^{3/2}\,b^7\,c^{7/2}\,e\,f^2-200\,a^{3/2}\,b^7\,c^{5/2}\,d\,e^2\,f+280\,a^{5/2}\,b^6\,c^{5/2}\,d\,e\,f^2-32\,a^{5/2}\,b^6\,c^{3/2}\,d^2\,e^2\,f-72\,a^{7/2}\,b^5\,\sqrt{c}\,d^3\,e^2\,f+16\,a^{7/2}\,b^5\,c^{3/2}\,d^2\,e\,f^2+24\,a^{9/2}\,b^4\,\sqrt{c}\,d^3\,e\,f^2\right)}{d^{12}\,e^6}+\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(24\,a^5\,b^3\,c\,d^3\,f^4+4\,a^5\,b^3\,d^4\,e\,f^3+16\,a^4\,b^4\,c^2\,d^2\,f^4-84\,a^4\,b^4\,c\,d^3\,e\,f^3-29\,a^4\,b^4\,d^4\,e^2\,f^2+88\,a^3\,b^5\,c^3\,d\,f^4-172\,a^3\,b^5\,c^2\,d^2\,e\,f^3+174\,a^3\,b^5\,c\,d^3\,e^2\,f^2+30\,a^3\,b^5\,d^4\,e^3\,f+16\,a^2\,b^6\,c^4\,f^4-164\,a^2\,b^6\,c^3\,d\,e\,f^3+219\,a^2\,b^6\,c^2\,d^2\,e^2\,f^2-120\,a^2\,b^6\,c\,d^3\,e^3\,f-9\,a^2\,b^6\,d^4\,e^4-16\,a\,b^7\,c^4\,e\,f^3+68\,a\,b^7\,c^3\,d\,e^2\,f^2-66\,a\,b^7\,c^2\,d^2\,e^3\,f+18\,a\,b^7\,c\,d^3\,e^4+12\,b^8\,c^3\,d\,e^3\,f-9\,b^8\,c^2\,d^2\,e^4\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(16\,a^{3/2}\,b^6\,c^{9/2}\,f^5-16\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^5-16\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^4+8\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^4-8\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^4+40\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^4+30\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f^2+18\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^3+20\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^3-30\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{12}\,e^6}+\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^3\,f^6+4\,a^4\,b^3\,c\,d^4\,e\,f^5-16\,a^4\,b^3\,d^5\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d^2\,f^6-76\,a^3\,b^4\,c^2\,d^3\,e\,f^5+29\,a^3\,b^4\,c\,d^4\,e^2\,f^4+24\,a^3\,b^4\,d^5\,e^3\,f^3+12\,a^2\,b^5\,c^4\,d\,f^6-76\,a^2\,b^5\,c^3\,d^2\,e\,f^5+118\,a^2\,b^5\,c^2\,d^3\,e^2\,f^4-48\,a^2\,b^5\,c\,d^4\,e^3\,f^3-9\,a^2\,b^5\,d^5\,e^4\,f^2+4\,a\,b^6\,c^4\,d\,e\,f^5+29\,a\,b^6\,c^3\,d^2\,e^2\,f^4-48\,a\,b^6\,c^2\,d^3\,e^3\,f^3+18\,a\,b^6\,c\,d^4\,e^4\,f^2-16\,b^7\,c^4\,d\,e^2\,f^4+24\,b^7\,c^3\,d^2\,e^3\,f^3-9\,b^7\,c^2\,d^3\,e^4\,f^2\right)}{d^{12}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^5\,f^6-32\,a^5\,b\,d^6\,e\,f^5+12\,a^4\,b^2\,c^2\,d^4\,f^6-76\,a^4\,b^2\,c\,d^5\,e\,f^5+64\,a^4\,b^2\,d^6\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^3\,f^6+36\,a^3\,b^3\,c^2\,d^4\,e\,f^5+47\,a^3\,b^3\,c\,d^5\,e^2\,f^4-42\,a^3\,b^3\,d^6\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d^2\,f^6+36\,a^2\,b^4\,c^3\,d^3\,e\,f^5-78\,a^2\,b^4\,c^2\,d^4\,e^2\,f^4+18\,a^2\,b^4\,c\,d^5\,e^3\,f^3+9\,a^2\,b^4\,d^6\,e^4\,f^2+32\,a\,b^5\,c^5\,d\,f^6-76\,a\,b^5\,c^4\,d^2\,e\,f^5+47\,a\,b^5\,c^3\,d^3\,e^2\,f^4+18\,a\,b^5\,c^2\,d^4\,e^3\,f^3-18\,a\,b^5\,c\,d^5\,e^4\,f^2-32\,b^6\,c^5\,d\,e\,f^5+64\,b^6\,c^4\,d^2\,e^2\,f^4-42\,b^6\,c^3\,d^3\,e^3\,f^3+9\,b^6\,c^2\,d^4\,e^4\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^6+12\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^5-20\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^3-59\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^4-13\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^4\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(40\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^5+176\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^5-120\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^5-96\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^5+96\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^4+152\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^4+40\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^4+120\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^4+90\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^5\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^2-192\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^3+142\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^3+260\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^3-210\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}-\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(20\,a^5\,b^2\,c\,d^4\,f^5-20\,a^5\,b^2\,d^5\,e\,f^4+20\,a^4\,b^3\,c^2\,d^3\,f^5-60\,a^4\,b^3\,c\,d^4\,e\,f^4+35\,a^4\,b^3\,d^5\,e^2\,f^3-116\,a^3\,b^4\,c^3\,d^2\,f^5+120\,a^3\,b^4\,c^2\,d^3\,e\,f^4+25\,a^3\,b^4\,c\,d^4\,e^2\,f^3-15\,a^3\,b^4\,d^5\,e^3\,f^2+60\,a^2\,b^5\,c^4\,d\,f^5+68\,a^2\,b^5\,c^3\,d^2\,e\,f^4-155\,a^2\,b^5\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^5\,c\,d^4\,e^3\,f^2+16\,a\,b^6\,c^5\,f^5-92\,a\,b^6\,c^4\,d\,e\,f^4+63\,a\,b^6\,c^3\,d^2\,e^2\,f^3+15\,a\,b^6\,c^2\,d^3\,e^3\,f^2-16\,b^7\,c^5\,e\,f^4+32\,b^7\,c^4\,d\,e^2\,f^3-15\,b^7\,c^3\,d^2\,e^3\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^4-52\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^4-32\,a^{3/2}\,b^6\,c^{9/2}\,f^4-36\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^4-28\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^4+32\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^3+112\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^3+42\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f+60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f+42\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f-88\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^2+130\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^3+44\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^3+114\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^3-108\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^2-120\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^2-116\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-32\,a^6\,b\,d^5\,f^4-48\,a^5\,b^2\,c\,d^4\,f^4+132\,a^5\,b^2\,d^5\,e\,f^3+144\,a^4\,b^3\,c^2\,d^3\,f^4-36\,a^4\,b^3\,c\,d^4\,e\,f^3-141\,a^4\,b^3\,d^5\,e^2\,f^2-272\,a^3\,b^4\,c^3\,d^2\,f^4+84\,a^3\,b^4\,c^2\,d^3\,e\,f^3+54\,a^3\,b^4\,c\,d^4\,e^2\,f^2+54\,a^3\,b^4\,d^5\,e^3\,f+128\,a^2\,b^5\,c^4\,d\,f^4+220\,a^2\,b^5\,c^3\,d^2\,e\,f^3-261\,a^2\,b^5\,c^2\,d^3\,e^2\,f^2-9\,a^2\,b^5\,d^5\,e^4-64\,a\,b^6\,c^5\,f^4-32\,a\,b^6\,c^4\,d\,e\,f^3+12\,a\,b^6\,c^3\,d^2\,e^2\,f^2+54\,a\,b^6\,c^2\,d^3\,e^3\,f+18\,a\,b^6\,c\,d^4\,e^4+64\,b^7\,c^5\,e\,f^3-96\,b^7\,c^4\,d\,e^2\,f^2+36\,b^7\,c^3\,d^2\,e^3\,f-9\,b^7\,c^2\,d^3\,e^4\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-20\,a^6\,b^2\,d^4\,f^3-36\,a^5\,b^3\,c\,d^3\,f^3+56\,a^5\,b^3\,d^4\,e\,f^2+164\,a^4\,b^4\,c^2\,d^2\,f^3+24\,a^4\,b^4\,c\,d^3\,e\,f^2-48\,a^4\,b^4\,d^4\,e^2\,f+4\,a^3\,b^5\,c^3\,d\,f^3-424\,a^3\,b^5\,c^2\,d^2\,e\,f^2+72\,a^3\,b^5\,c\,d^3\,e^2\,f+12\,a^3\,b^5\,d^4\,e^3-16\,a^2\,b^6\,c^4\,f^3+24\,a^2\,b^6\,c^3\,d\,e\,f^2+320\,a^2\,b^6\,c^2\,d^2\,e^2\,f-60\,a^2\,b^6\,c\,d^3\,e^3+32\,a\,b^7\,c^4\,e\,f^2-40\,a\,b^7\,c^3\,d\,e^2\,f-60\,a\,b^7\,c^2\,d^2\,e^3-16\,b^8\,c^4\,e^2\,f+12\,b^8\,c^3\,d\,e^3\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3-240\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3+72\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3+168\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^3+144\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^3-120\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^3-96\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^3-96\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f+192\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^2+672\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f-288\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f-240\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^2-576\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^2+336\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(16\,a^{5/2}\,b^6\,c^{7/2}\,f^3+48\,a^{5/2}\,b^6\,\sqrt{c}\,d^3\,e^3+16\,a^{9/2}\,b^4\,c^{3/2}\,d^2\,f^3+48\,\sqrt{a}\,b^8\,c^{5/2}\,d\,e^3-128\,a^{7/2}\,b^5\,c^{5/2}\,d\,f^3+16\,\sqrt{a}\,b^8\,c^{7/2}\,e^2\,f-32\,a^{3/2}\,b^7\,c^{7/2}\,e\,f^2-200\,a^{3/2}\,b^7\,c^{5/2}\,d\,e^2\,f+280\,a^{5/2}\,b^6\,c^{5/2}\,d\,e\,f^2-32\,a^{5/2}\,b^6\,c^{3/2}\,d^2\,e^2\,f-72\,a^{7/2}\,b^5\,\sqrt{c}\,d^3\,e^2\,f+16\,a^{7/2}\,b^5\,c^{3/2}\,d^2\,e\,f^2+24\,a^{9/2}\,b^4\,\sqrt{c}\,d^3\,e\,f^2\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(24\,a^5\,b^3\,c\,d^3\,f^4+4\,a^5\,b^3\,d^4\,e\,f^3+16\,a^4\,b^4\,c^2\,d^2\,f^4-84\,a^4\,b^4\,c\,d^3\,e\,f^3-29\,a^4\,b^4\,d^4\,e^2\,f^2+88\,a^3\,b^5\,c^3\,d\,f^4-172\,a^3\,b^5\,c^2\,d^2\,e\,f^3+174\,a^3\,b^5\,c\,d^3\,e^2\,f^2+30\,a^3\,b^5\,d^4\,e^3\,f+16\,a^2\,b^6\,c^4\,f^4-164\,a^2\,b^6\,c^3\,d\,e\,f^3+219\,a^2\,b^6\,c^2\,d^2\,e^2\,f^2-120\,a^2\,b^6\,c\,d^3\,e^3\,f-9\,a^2\,b^6\,d^4\,e^4-16\,a\,b^7\,c^4\,e\,f^3+68\,a\,b^7\,c^3\,d\,e^2\,f^2-66\,a\,b^7\,c^2\,d^2\,e^3\,f+18\,a\,b^7\,c\,d^3\,e^4+12\,b^8\,c^3\,d\,e^3\,f-9\,b^8\,c^2\,d^2\,e^4\right)}{d^{12}\,e^6}-\frac{\left(a\,f-b\,e\right)\,\left(\frac{\left(a\,f-b\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^3\,f^6+4\,a^4\,b^3\,c\,d^4\,e\,f^5-16\,a^4\,b^3\,d^5\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d^2\,f^6-76\,a^3\,b^4\,c^2\,d^3\,e\,f^5+29\,a^3\,b^4\,c\,d^4\,e^2\,f^4+24\,a^3\,b^4\,d^5\,e^3\,f^3+12\,a^2\,b^5\,c^4\,d\,f^6-76\,a^2\,b^5\,c^3\,d^2\,e\,f^5+118\,a^2\,b^5\,c^2\,d^3\,e^2\,f^4-48\,a^2\,b^5\,c\,d^4\,e^3\,f^3-9\,a^2\,b^5\,d^5\,e^4\,f^2+4\,a\,b^6\,c^4\,d\,e\,f^5+29\,a\,b^6\,c^3\,d^2\,e^2\,f^4-48\,a\,b^6\,c^2\,d^3\,e^3\,f^3+18\,a\,b^6\,c\,d^4\,e^4\,f^2-16\,b^7\,c^4\,d\,e^2\,f^4+24\,b^7\,c^3\,d^2\,e^3\,f^3-9\,b^7\,c^2\,d^3\,e^4\,f^2\right)}{d^{12}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^5\,f^6-32\,a^5\,b\,d^6\,e\,f^5+12\,a^4\,b^2\,c^2\,d^4\,f^6-76\,a^4\,b^2\,c\,d^5\,e\,f^5+64\,a^4\,b^2\,d^6\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^3\,f^6+36\,a^3\,b^3\,c^2\,d^4\,e\,f^5+47\,a^3\,b^3\,c\,d^5\,e^2\,f^4-42\,a^3\,b^3\,d^6\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d^2\,f^6+36\,a^2\,b^4\,c^3\,d^3\,e\,f^5-78\,a^2\,b^4\,c^2\,d^4\,e^2\,f^4+18\,a^2\,b^4\,c\,d^5\,e^3\,f^3+9\,a^2\,b^4\,d^6\,e^4\,f^2+32\,a\,b^5\,c^5\,d\,f^6-76\,a\,b^5\,c^4\,d^2\,e\,f^5+47\,a\,b^5\,c^3\,d^3\,e^2\,f^4+18\,a\,b^5\,c^2\,d^4\,e^3\,f^3-18\,a\,b^5\,c\,d^5\,e^4\,f^2-32\,b^6\,c^5\,d\,e\,f^5+64\,b^6\,c^4\,d^2\,e^2\,f^4-42\,b^6\,c^3\,d^3\,e^3\,f^3+9\,b^6\,c^2\,d^4\,e^4\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^6+12\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^5-20\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^3-59\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^4-13\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^4\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,\left(16\,a^{3/2}\,b^6\,c^{9/2}\,f^5-16\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^5-16\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^4+8\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^4-8\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^4+40\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^4+30\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f^2+18\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^3+20\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^3-30\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{12}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(40\,a^{5/2}\,b^4\,c^{7/2}\,d^2\,f^5+176\,a^{7/2}\,b^3\,c^{5/2}\,d^3\,f^5-120\,a^{9/2}\,b^2\,c^{3/2}\,d^4\,f^5-96\,a^{3/2}\,b^5\,c^{9/2}\,d\,f^5+96\,\sqrt{a}\,b^6\,c^{9/2}\,d\,e\,f^4+152\,a^{3/2}\,b^5\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^4\,c^{5/2}\,d^3\,e\,f^4+40\,a^{7/2}\,b^3\,c^{3/2}\,d^4\,e\,f^4+120\,a^{9/2}\,b^2\,\sqrt{c}\,d^5\,e\,f^4+90\,\sqrt{a}\,b^6\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^5\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^4\,\sqrt{c}\,d^5\,e^3\,f^2-192\,\sqrt{a}\,b^6\,c^{7/2}\,d^2\,e^2\,f^3+142\,a^{3/2}\,b^5\,c^{5/2}\,d^3\,e^2\,f^3+260\,a^{5/2}\,b^4\,c^{3/2}\,d^4\,e^2\,f^3-210\,a^{7/2}\,b^3\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(20\,a^5\,b^2\,c\,d^4\,f^5-20\,a^5\,b^2\,d^5\,e\,f^4+20\,a^4\,b^3\,c^2\,d^3\,f^5-60\,a^4\,b^3\,c\,d^4\,e\,f^4+35\,a^4\,b^3\,d^5\,e^2\,f^3-116\,a^3\,b^4\,c^3\,d^2\,f^5+120\,a^3\,b^4\,c^2\,d^3\,e\,f^4+25\,a^3\,b^4\,c\,d^4\,e^2\,f^3-15\,a^3\,b^4\,d^5\,e^3\,f^2+60\,a^2\,b^5\,c^4\,d\,f^5+68\,a^2\,b^5\,c^3\,d^2\,e\,f^4-155\,a^2\,b^5\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^5\,c\,d^4\,e^3\,f^2+16\,a\,b^6\,c^5\,f^5-92\,a\,b^6\,c^4\,d\,e\,f^4+63\,a\,b^6\,c^3\,d^2\,e^2\,f^3+15\,a\,b^6\,c^2\,d^3\,e^3\,f^2-16\,b^7\,c^5\,e\,f^4+32\,b^7\,c^4\,d\,e^2\,f^3-15\,b^7\,c^3\,d^2\,e^3\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^4-52\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^4-32\,a^{3/2}\,b^6\,c^{9/2}\,f^4-36\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^4-28\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^4+32\,\sqrt{a}\,b^7\,c^{9/2}\,e\,f^3+112\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^3+42\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3\,f+60\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3\,f+42\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3\,f-88\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f^2+130\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^3+44\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^3+114\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^3-108\,a^{3/2}\,b^6\,c^{5/2}\,d^2\,e^2\,f^2-120\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f^2-116\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f^2\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-32\,a^6\,b\,d^5\,f^4-48\,a^5\,b^2\,c\,d^4\,f^4+132\,a^5\,b^2\,d^5\,e\,f^3+144\,a^4\,b^3\,c^2\,d^3\,f^4-36\,a^4\,b^3\,c\,d^4\,e\,f^3-141\,a^4\,b^3\,d^5\,e^2\,f^2-272\,a^3\,b^4\,c^3\,d^2\,f^4+84\,a^3\,b^4\,c^2\,d^3\,e\,f^3+54\,a^3\,b^4\,c\,d^4\,e^2\,f^2+54\,a^3\,b^4\,d^5\,e^3\,f+128\,a^2\,b^5\,c^4\,d\,f^4+220\,a^2\,b^5\,c^3\,d^2\,e\,f^3-261\,a^2\,b^5\,c^2\,d^3\,e^2\,f^2-9\,a^2\,b^5\,d^5\,e^4-64\,a\,b^6\,c^5\,f^4-32\,a\,b^6\,c^4\,d\,e\,f^3+12\,a\,b^6\,c^3\,d^2\,e^2\,f^2+54\,a\,b^6\,c^2\,d^3\,e^3\,f+18\,a\,b^6\,c\,d^4\,e^4+64\,b^7\,c^5\,e\,f^3-96\,b^7\,c^4\,d\,e^2\,f^2+36\,b^7\,c^3\,d^2\,e^3\,f-9\,b^7\,c^2\,d^3\,e^4\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-20\,a^6\,b^2\,d^4\,f^3-36\,a^5\,b^3\,c\,d^3\,f^3+56\,a^5\,b^3\,d^4\,e\,f^2+164\,a^4\,b^4\,c^2\,d^2\,f^3+24\,a^4\,b^4\,c\,d^3\,e\,f^2-48\,a^4\,b^4\,d^4\,e^2\,f+4\,a^3\,b^5\,c^3\,d\,f^3-424\,a^3\,b^5\,c^2\,d^2\,e\,f^2+72\,a^3\,b^5\,c\,d^3\,e^2\,f+12\,a^3\,b^5\,d^4\,e^3-16\,a^2\,b^6\,c^4\,f^3+24\,a^2\,b^6\,c^3\,d\,e\,f^2+320\,a^2\,b^6\,c^2\,d^2\,e^2\,f-60\,a^2\,b^6\,c\,d^3\,e^3+32\,a\,b^7\,c^4\,e\,f^2-40\,a\,b^7\,c^3\,d\,e^2\,f-60\,a\,b^7\,c^2\,d^2\,e^3-16\,b^8\,c^4\,e^2\,f+12\,b^8\,c^3\,d\,e^3\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^7\,c^{5/2}\,d^2\,e^3-240\,a^{3/2}\,b^6\,c^{3/2}\,d^3\,e^3+72\,a^{5/2}\,b^5\,\sqrt{c}\,d^4\,e^3+168\,a^{7/2}\,b^4\,c^{5/2}\,d^2\,f^3+144\,a^{9/2}\,b^3\,c^{3/2}\,d^3\,f^3-120\,a^{11/2}\,b^2\,\sqrt{c}\,d^4\,f^3-96\,a^{5/2}\,b^5\,c^{7/2}\,d\,f^3-96\,\sqrt{a}\,b^7\,c^{7/2}\,d\,e^2\,f+192\,a^{3/2}\,b^6\,c^{7/2}\,d\,e\,f^2+672\,a^{5/2}\,b^5\,c^{3/2}\,d^3\,e^2\,f-288\,a^{7/2}\,b^4\,\sqrt{c}\,d^4\,e^2\,f-240\,a^{5/2}\,b^5\,c^{5/2}\,d^2\,e\,f^2-576\,a^{7/2}\,b^4\,c^{3/2}\,d^3\,e\,f^2+336\,a^{9/2}\,b^3\,\sqrt{c}\,d^4\,e\,f^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{4096\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,\sqrt{a}\,b^8\,c^{7/2}\,e^2+32\,a^{5/2}\,b^6\,c^{7/2}\,f^2+16\,a^{5/2}\,b^6\,c^{3/2}\,d^2\,e^2+24\,a^{7/2}\,b^5\,\sqrt{c}\,d^3\,e^2+16\,a^{9/2}\,b^4\,c^{3/2}\,d^2\,f^2+24\,a^{11/2}\,b^3\,\sqrt{c}\,d^3\,f^2-64\,a^{3/2}\,b^7\,c^{7/2}\,e\,f-72\,a^{3/2}\,b^7\,c^{5/2}\,d\,e^2-72\,a^{7/2}\,b^5\,c^{5/2}\,d\,f^2-32\,a^{7/2}\,b^5\,c^{3/2}\,d^2\,e\,f-48\,a^{9/2}\,b^4\,\sqrt{c}\,d^3\,e\,f+144\,a^{5/2}\,b^6\,c^{5/2}\,d\,e\,f\right)}{d^{12}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{2048\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(36\,a^6\,b^2\,d^4\,f^2-72\,a^5\,b^3\,c\,d^3\,f^2-72\,a^5\,b^3\,d^4\,e\,f+132\,a^4\,b^4\,c^2\,d^2\,f^2+144\,a^4\,b^4\,c\,d^3\,e\,f+36\,a^4\,b^4\,d^4\,e^2-160\,a^3\,b^5\,c^3\,d\,f^2-264\,a^3\,b^5\,c^2\,d^2\,e\,f-72\,a^3\,b^5\,c\,d^3\,e^2+64\,a^2\,b^6\,c^4\,f^2+320\,a^2\,b^6\,c^3\,d\,e\,f+132\,a^2\,b^6\,c^2\,d^2\,e^2-128\,a\,b^7\,c^4\,e\,f-160\,a\,b^7\,c^3\,d\,e^2+64\,b^8\,c^4\,e^2\right)}{d^{12}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}\right)\,\left(a\,f-b\,e\right)\,2{}\mathrm{i}}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}","Not used",1,"(b^(1/2)*atan(((b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8) - (2*b^(1/2)*((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2))))*2i)/(d^(1/2)*f) + (b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d^18*e^8) + (2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8) - (2*b^(1/2)*((65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8) + (2*b^(1/2)*((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2))))*2i)/(d^(1/2)*f))/((131072*(16*b^13*c^5*e^3 - 16*a^3*b^10*c^5*f^3 + 12*a^5*b^8*d^5*e^3 - 12*a^8*b^5*d^5*f^3 + 56*a^3*b^10*c^2*d^3*e^3 - 56*a^6*b^7*c^2*d^3*f^3 - 36*a*b^12*c^4*d*e^3 - 48*a*b^12*c^5*e^2*f - 48*a^4*b^9*c*d^4*e^3 + 36*a^4*b^9*c^4*d*f^3 + 48*a^7*b^6*c*d^4*f^3 + 48*a^2*b^11*c^5*e*f^2 - 36*a^6*b^7*d^5*e^2*f + 36*a^7*b^6*d^5*e*f^2 + 108*a^2*b^11*c^4*d*e^2*f - 108*a^3*b^10*c^4*d*e*f^2 + 144*a^5*b^8*c*d^4*e^2*f - 144*a^6*b^7*c*d^4*e*f^2 - 168*a^4*b^9*c^2*d^3*e^2*f + 168*a^5*b^8*c^2*d^3*e*f^2))/(d^18*e^8) + (2*b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8) - (2*b^(1/2)*((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (2*b^(1/2)*((65536*(16*a^(5/2)*b^10*c^(11/2)*f^4 + 24*a^(1/2)*b^12*c^(7/2)*d^2*e^4 - 24*a^(3/2)*b^11*c^(5/2)*d^3*e^4 - 24*a^(5/2)*b^10*c^(3/2)*d^4*e^4 + 24*a^(7/2)*b^9*c^(1/2)*d^5*e^4 + 24*a^(9/2)*b^8*c^(7/2)*d^2*f^4 + 8*a^(11/2)*b^7*c^(5/2)*d^3*f^4 - 40*a^(13/2)*b^6*c^(3/2)*d^4*f^4 + 24*a^(15/2)*b^5*c^(1/2)*d^5*f^4 + 16*a^(1/2)*b^12*c^(11/2)*e^2*f^2 - 32*a^(7/2)*b^9*c^(9/2)*d*f^4 - 32*a^(3/2)*b^11*c^(11/2)*e*f^3 - 44*a^(1/2)*b^12*c^(9/2)*d*e^3*f + 20*a^(5/2)*b^10*c^(9/2)*d*e*f^3 + 48*a^(3/2)*b^11*c^(7/2)*d^2*e^3*f - 72*a^(5/2)*b^10*c^(5/2)*d^3*e^3*f + 176*a^(7/2)*b^9*c^(3/2)*d^4*e^3*f - 108*a^(9/2)*b^8*c^(1/2)*d^5*e^3*f + 56*a^(3/2)*b^11*c^(9/2)*d*e^2*f^2 + 48*a^(7/2)*b^9*c^(7/2)*d^2*e*f^3 - 136*a^(9/2)*b^8*c^(5/2)*d^3*e*f^3 + 208*a^(11/2)*b^7*c^(3/2)*d^4*e*f^3 - 108*a^(13/2)*b^6*c^(1/2)*d^5*e*f^3 - 144*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f^2 + 224*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f^2 - 320*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f^2 + 168*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f^2))/(d^18*e^8) + (2*b^(1/2)*((65536*(24*a^4*b^8*c^4*d^2*f^5 - 4*a^8*b^4*d^6*f^5 - 16*b^12*c^6*e^2*f^3 - 16*a^2*b^10*c^6*f^5 - 100*a^5*b^7*c^3*d^3*f^5 + 60*a^6*b^6*c^2*d^4*f^5 + 7*a^5*b^7*d^6*e^3*f^2 - 27*a^6*b^6*d^6*e^2*f^3 + 32*a*b^11*c^6*e*f^4 + 36*a^3*b^9*c^5*d*f^5 + 3*a^4*b^8*d^6*e^4*f + 21*a^7*b^5*d^6*e*f^4 + 3*b^12*c^4*d^2*e^4*f + 16*b^12*c^5*d*e^3*f^2 + 12*a*b^11*c^3*d^3*e^4*f + 4*a*b^11*c^5*d*e^2*f^3 - 56*a^2*b^10*c^5*d*e*f^4 + 12*a^3*b^9*c*d^5*e^4*f - 72*a^6*b^6*c*d^5*e*f^4 - 69*a*b^11*c^4*d^2*e^3*f^2 - 30*a^2*b^10*c^2*d^4*e^4*f - 111*a^3*b^9*c^4*d^2*e*f^4 - 96*a^4*b^8*c*d^5*e^3*f^2 + 232*a^4*b^8*c^3*d^3*e*f^4 + 156*a^5*b^7*c*d^5*e^2*f^3 - 46*a^5*b^7*c^2*d^4*e*f^4 + 8*a^2*b^10*c^3*d^3*e^3*f^2 + 153*a^2*b^10*c^4*d^2*e^2*f^3 + 134*a^3*b^9*c^2*d^4*e^3*f^2 - 152*a^3*b^9*c^3*d^3*e^2*f^3 - 118*a^4*b^8*c^2*d^4*e^2*f^3))/(d^18*e^8) + (2*b^(1/2)*((65536*(44*a^(11/2)*b^6*c^(5/2)*d^4*f^6 - 24*a^(7/2)*b^8*c^(9/2)*d^2*f^6 - 4*a^(9/2)*b^7*c^(7/2)*d^3*f^6 - 16*a^(3/2)*b^10*c^(13/2)*f^6 - 24*a^(13/2)*b^5*c^(3/2)*d^5*f^6 - 4*a^(15/2)*b^4*c^(1/2)*d^6*f^6 + 28*a^(5/2)*b^9*c^(11/2)*d*f^6 + 16*a^(1/2)*b^11*c^(13/2)*e*f^5 + 36*a^(3/2)*b^10*c^(11/2)*d*e*f^5 - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^4 - 85*a^(5/2)*b^9*c^(9/2)*d^2*e*f^5 + 116*a^(7/2)*b^8*c^(7/2)*d^3*e*f^5 - 150*a^(9/2)*b^7*c^(5/2)*d^4*e*f^5 + 16*a^(11/2)*b^6*c^(3/2)*d^5*e*f^5 + 51*a^(13/2)*b^5*c^(1/2)*d^6*e*f^5 - 36*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f^2 + 36*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f^2 + 36*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f^2 - 36*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f^2 + 87*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^3 - 100*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^3 + 66*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^3 - 180*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^3 + 127*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^3 + 22*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^4 + 24*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^4 + 4*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^4 + 152*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^4 - 138*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^4))/(d^18*e^8) - (2*b^(1/2)*((65536*(24*a^3*b^8*c^5*d^2*f^7 - 44*a^4*b^7*c^4*d^3*f^7 + 12*a^5*b^6*c^3*d^4*f^7 + 12*a^6*b^5*c^2*d^5*f^7 + 3*a^4*b^7*d^7*e^4*f^3 - 2*a^5*b^6*d^7*e^3*f^4 - 5*a^6*b^5*d^7*e^2*f^5 + 3*b^11*c^4*d^3*e^4*f^3 - 3*b^11*c^5*d^2*e^3*f^4 - 4*a^7*b^4*c*d^6*f^7 + 4*a^7*b^4*d^7*e*f^6 - 7*a^6*b^5*c*d^6*e*f^6 + 12*a*b^10*c^3*d^4*e^4*f^3 - 42*a*b^10*c^4*d^3*e^3*f^4 + 30*a*b^10*c^5*d^2*e^2*f^5 - 51*a^2*b^9*c^5*d^2*e*f^6 + 12*a^3*b^8*c*d^6*e^4*f^3 + 52*a^3*b^8*c^4*d^3*e*f^6 - 39*a^4*b^7*c*d^6*e^3*f^4 + 50*a^4*b^7*c^3*d^4*e*f^6 + 38*a^5*b^6*c*d^6*e^2*f^5 - 48*a^5*b^6*c^2*d^5*e*f^6 - 30*a^2*b^9*c^2*d^5*e^4*f^3 + 50*a^2*b^9*c^3*d^4*e^3*f^4 + 31*a^2*b^9*c^4*d^3*e^2*f^5 + 36*a^3*b^8*c^2*d^5*e^3*f^4 - 124*a^3*b^8*c^3*d^4*e^2*f^5 + 30*a^4*b^7*c^2*d^5*e^2*f^5))/(d^18*e^8) + (2*b^(1/2)*((65536*(4*a^(7/2)*b^7*c^(9/2)*d^3*f^8 + 4*a^(9/2)*b^6*c^(7/2)*d^4*f^8 - 4*a^(13/2)*b^4*c^(3/2)*d^6*f^8 - 4*a^(3/2)*b^9*c^(13/2)*d*f^8 + 4*a^(1/2)*b^10*c^(13/2)*d*e*f^7 + 23*a^(3/2)*b^9*c^(11/2)*d^2*e*f^7 - 32*a^(5/2)*b^8*c^(9/2)*d^3*e*f^7 + 10*a^(7/2)*b^7*c^(7/2)*d^4*e*f^7 - 32*a^(9/2)*b^6*c^(5/2)*d^5*e*f^7 + 23*a^(11/2)*b^5*c^(3/2)*d^6*e*f^7 + 4*a^(13/2)*b^4*c^(1/2)*d^7*e*f^7 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^4 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^4 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^4 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^4 + 31*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^5 - 28*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^5 - 6*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^5 - 28*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^5 + 31*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^5 - 23*a^(1/2)*b^10*c^(11/2)*d^2*e^2*f^6 - 3*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^6 + 26*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^6 + 26*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^6 - 3*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^6 - 23*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^6))/(d^18*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(72*a^3*b^7*c^5*d^3*f^8 - 30*a^2*b^8*c^6*d^2*f^8 - 100*a^4*b^6*c^4*d^4*f^8 + 72*a^5*b^5*c^3*d^5*f^8 - 30*a^6*b^4*c^2*d^6*f^8 + 3*a^4*b^6*d^8*e^4*f^4 - 13*a^5*b^5*d^8*e^3*f^5 + 18*a^6*b^4*d^8*e^2*f^6 + 3*b^10*c^4*d^4*e^4*f^4 - 13*b^10*c^5*d^3*e^3*f^5 + 18*b^10*c^6*d^2*e^2*f^6 + 8*a*b^9*c^7*d*f^8 - 8*b^10*c^7*d*e*f^7 + 8*a^7*b^3*c*d^7*f^8 - 8*a^7*b^3*d^8*e*f^7 + 12*a*b^9*c^6*d^2*e*f^7 + 12*a^6*b^4*c*d^7*e*f^7 + 12*a*b^9*c^3*d^5*e^4*f^4 - 9*a*b^9*c^4*d^4*e^3*f^5 - 23*a*b^9*c^5*d^3*e^2*f^6 - 36*a^2*b^8*c^5*d^3*e*f^7 + 12*a^3*b^7*c*d^7*e^4*f^4 + 32*a^3*b^7*c^4*d^4*e*f^7 - 9*a^4*b^6*c*d^7*e^3*f^5 + 32*a^4*b^6*c^3*d^5*e*f^7 - 23*a^5*b^5*c*d^7*e^2*f^6 - 36*a^5*b^5*c^2*d^6*e*f^7 - 30*a^2*b^8*c^2*d^6*e^4*f^4 + 22*a^2*b^8*c^3*d^5*e^3*f^5 + 74*a^2*b^8*c^4*d^4*e^2*f^6 + 22*a^3*b^7*c^2*d^6*e^3*f^5 - 138*a^3*b^7*c^3*d^5*e^2*f^6 + 74*a^4*b^6*c^2*d^6*e^2*f^6))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(9/2)*b^6*c^(7/2)*d^4*f^7 - 40*a^(7/2)*b^7*c^(9/2)*d^3*f^7 - 72*a^(11/2)*b^5*c^(5/2)*d^5*f^7 + 16*a^(13/2)*b^4*c^(3/2)*d^6*f^7 + 92*a^(5/2)*b^8*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^7*c^(7/2)*d^4*e*f^6 + 36*a^(9/2)*b^6*c^(5/2)*d^5*e*f^6 + 52*a^(11/2)*b^5*c^(3/2)*d^6*e*f^6 - 16*a^(13/2)*b^4*c^(1/2)*d^7*e*f^6 - 12*a^(1/2)*b^10*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^9*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^8*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^7*c^(1/2)*d^7*e^4*f^3 + 12*a^(1/2)*b^10*c^(9/2)*d^3*e^3*f^4 + 52*a^(3/2)*b^9*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^8*c^(5/2)*d^5*e^3*f^4 + 60*a^(7/2)*b^7*c^(3/2)*d^6*e^3*f^4 + 8*a^(9/2)*b^6*c^(1/2)*d^7*e^3*f^4 - 64*a^(3/2)*b^9*c^(9/2)*d^3*e^2*f^5 + 28*a^(5/2)*b^8*c^(7/2)*d^4*e^2*f^5 + 156*a^(7/2)*b^7*c^(5/2)*d^5*e^2*f^5 - 140*a^(9/2)*b^6*c^(3/2)*d^6*e^2*f^5 + 20*a^(11/2)*b^5*c^(1/2)*d^7*e^2*f^5))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a*b^10*c^7*f^6 - 32*b^11*c^7*e*f^5 + 8*a^8*b^3*d^7*f^6 + 228*a^3*b^8*c^5*d^2*f^6 - 240*a^4*b^7*c^4*d^3*f^6 + 136*a^5*b^6*c^3*d^4*f^6 - 48*a^6*b^5*c^2*d^5*f^6 + 9*a^4*b^7*d^7*e^4*f^2 - 58*a^5*b^6*d^7*e^3*f^3 + 101*a^6*b^5*d^7*e^2*f^4 + 9*b^11*c^4*d^3*e^4*f^2 - 48*b^11*c^5*d^2*e^3*f^3 - 120*a^2*b^9*c^6*d*f^6 + 4*a^7*b^4*c*d^6*f^6 - 60*a^7*b^4*d^7*e*f^5 + 72*b^11*c^6*d*e^2*f^4 + 116*a^6*b^5*c*d^6*e*f^5 + 36*a*b^10*c^3*d^4*e^4*f^2 + 30*a*b^10*c^4*d^3*e^3*f^3 - 160*a*b^10*c^5*d^2*e^2*f^4 - 20*a^2*b^9*c^5*d^2*e*f^5 + 36*a^3*b^8*c*d^6*e^4*f^2 - 132*a^3*b^8*c^4*d^3*e*f^5 + 288*a^4*b^7*c^3*d^4*e*f^5 - 156*a^5*b^6*c*d^6*e^2*f^4 - 208*a^5*b^6*c^2*d^5*e*f^5 + 48*a*b^10*c^6*d*e*f^5 - 90*a^2*b^9*c^2*d^5*e^4*f^2 - 32*a^2*b^9*c^3*d^4*e^3*f^3 + 333*a^2*b^9*c^4*d^3*e^2*f^4 + 108*a^3*b^8*c^2*d^5*e^3*f^3 - 428*a^3*b^8*c^3*d^4*e^2*f^4 + 238*a^4*b^7*c^2*d^5*e^2*f^4))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(240*a^(7/2)*b^8*c^(9/2)*d^2*f^5 - 296*a^(9/2)*b^7*c^(7/2)*d^3*f^5 + 112*a^(11/2)*b^6*c^(5/2)*d^4*f^5 + 24*a^(13/2)*b^5*c^(3/2)*d^5*f^5 - 16*a^(15/2)*b^4*c^(1/2)*d^6*f^5 - 64*a^(5/2)*b^9*c^(11/2)*d*f^5 + 128*a^(3/2)*b^10*c^(11/2)*d*e*f^4 + 12*a^(1/2)*b^11*c^(7/2)*d^3*e^4*f - 12*a^(3/2)*b^10*c^(5/2)*d^4*e^4*f - 12*a^(5/2)*b^9*c^(3/2)*d^5*e^4*f + 12*a^(7/2)*b^8*c^(1/2)*d^6*e^4*f - 64*a^(1/2)*b^11*c^(11/2)*d*e^2*f^3 - 416*a^(5/2)*b^9*c^(9/2)*d^2*e*f^4 + 300*a^(7/2)*b^8*c^(7/2)*d^3*e*f^4 + 220*a^(9/2)*b^7*c^(5/2)*d^4*e*f^4 - 316*a^(11/2)*b^6*c^(3/2)*d^5*e*f^4 + 84*a^(13/2)*b^5*c^(1/2)*d^6*e*f^4 + 64*a^(1/2)*b^11*c^(9/2)*d^2*e^3*f^2 - 316*a^(3/2)*b^10*c^(7/2)*d^3*e^3*f^2 + 468*a^(5/2)*b^9*c^(5/2)*d^4*e^3*f^2 - 244*a^(7/2)*b^8*c^(3/2)*d^5*e^3*f^2 + 28*a^(9/2)*b^7*c^(1/2)*d^6*e^3*f^2 + 112*a^(3/2)*b^10*c^(9/2)*d^2*e^2*f^3 + 300*a^(5/2)*b^9*c^(7/2)*d^3*e^2*f^3 - 788*a^(7/2)*b^8*c^(5/2)*d^4*e^2*f^3 + 548*a^(9/2)*b^7*c^(3/2)*d^5*e^2*f^3 - 108*a^(11/2)*b^6*c^(1/2)*d^6*e^2*f^3))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(32*a^2*b^10*c^6*f^4 + 6*a^4*b^8*d^6*e^4 + 34*a^8*b^4*d^6*f^4 + 6*b^12*c^4*d^2*e^4 + 32*b^12*c^6*e^2*f^2 - 60*a^2*b^10*c^2*d^4*e^4 + 258*a^4*b^8*c^4*d^2*f^4 - 312*a^5*b^7*c^3*d^3*f^4 + 236*a^6*b^6*c^2*d^4*f^4 + 112*a^6*b^6*d^6*e^2*f^2 - 64*a*b^11*c^6*e*f^3 - 32*b^12*c^5*d*e^3*f + 24*a*b^11*c^3*d^3*e^4 + 24*a^3*b^9*c*d^5*e^4 - 128*a^3*b^9*c^5*d*f^4 - 120*a^7*b^5*c*d^5*f^4 - 48*a^5*b^7*d^6*e^3*f - 104*a^7*b^5*d^6*e*f^3 + 48*a*b^11*c^4*d^2*e^3*f - 64*a*b^11*c^5*d*e^2*f^2 + 224*a^2*b^10*c^5*d*e*f^3 + 288*a^6*b^6*c*d^5*e*f^3 - 96*a^2*b^10*c^3*d^3*e^3*f + 128*a^3*b^9*c^2*d^4*e^3*f - 456*a^3*b^9*c^4*d^2*e*f^3 + 576*a^4*b^8*c^3*d^3*e*f^3 - 192*a^5*b^7*c*d^5*e^2*f^2 - 464*a^5*b^7*c^2*d^4*e*f^3 + 144*a^2*b^10*c^4*d^2*e^2*f^2 - 192*a^3*b^9*c^3*d^3*e^2*f^2 + 160*a^4*b^8*c^2*d^4*e^2*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(d^(1/2)*f) + (131072*((a + b*x)^(1/2) - a^(1/2))*(240*a^(3/2)*b^11*c^(7/2)*d^2*e^3 - 336*a^(5/2)*b^10*c^(5/2)*d^3*e^3 + 208*a^(7/2)*b^9*c^(3/2)*d^4*e^3 - 48*a^(9/2)*b^8*c^(1/2)*d^5*e^3 - 240*a^(9/2)*b^8*c^(7/2)*d^2*f^3 + 336*a^(11/2)*b^7*c^(5/2)*d^3*f^3 - 208*a^(13/2)*b^6*c^(3/2)*d^4*f^3 + 48*a^(15/2)*b^5*c^(1/2)*d^5*f^3 - 64*a^(1/2)*b^12*c^(9/2)*d*e^3 + 64*a^(7/2)*b^9*c^(9/2)*d*f^3 + 192*a^(3/2)*b^11*c^(9/2)*d*e^2*f - 192*a^(5/2)*b^10*c^(9/2)*d*e*f^2 - 720*a^(5/2)*b^10*c^(7/2)*d^2*e^2*f + 1008*a^(7/2)*b^9*c^(5/2)*d^3*e^2*f - 624*a^(9/2)*b^8*c^(3/2)*d^4*e^2*f + 144*a^(11/2)*b^7*c^(1/2)*d^5*e^2*f + 720*a^(7/2)*b^9*c^(7/2)*d^2*e*f^2 - 1008*a^(9/2)*b^8*c^(5/2)*d^3*e*f^2 + 624*a^(11/2)*b^7*c^(3/2)*d^4*e*f^2 - 144*a^(13/2)*b^6*c^(1/2)*d^5*e*f^2))/(d^18*e^8*((c + d*x)^(1/2) - c^(1/2)))))*4i)/(d^(1/2)*f) - (atan((((a*f - b*e)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) + ((a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^3))/(d^12*e^6) + ((a*f - b*e)*((1024*(24*a^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6 - 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 + 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 + 36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 + 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) - (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2))*1i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + ((a*f - b*e)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*(((a*f - b*e)*((1024*(24*a^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6 - 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 + 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 + 36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 + 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*(16*a^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^3))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2))*1i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)))/((2048*(16*a*b^8*c^3*e^2 + 16*a^3*b^6*c^3*f^2 + 12*a^4*b^5*d^3*e^2 + 12*a^6*b^3*d^3*f^2 - 32*a^2*b^7*c^3*e*f - 24*a^5*b^4*d^3*e*f - 52*a^2*b^7*c^2*d*e^2 + 24*a^3*b^6*c*d^2*e^2 - 52*a^4*b^5*c^2*d*f^2 + 24*a^5*b^4*c*d^2*f^2 + 104*a^3*b^6*c^2*d*e*f - 48*a^4*b^5*c*d^2*e*f))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) + ((a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^3))/(d^12*e^6) + ((a*f - b*e)*((1024*(24*a^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6 - 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 + 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 + 36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 + 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) - (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + ((a*f - b*e)*((1024*(16*a^(5/2)*b^6*c^(7/2)*f^3 + 48*a^(5/2)*b^6*c^(1/2)*d^3*e^3 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^3 + 48*a^(1/2)*b^8*c^(5/2)*d*e^3 - 128*a^(7/2)*b^5*c^(5/2)*d*f^3 + 16*a^(1/2)*b^8*c^(7/2)*e^2*f - 32*a^(3/2)*b^7*c^(7/2)*e*f^2 - 200*a^(3/2)*b^7*c^(5/2)*d*e^2*f + 280*a^(5/2)*b^6*c^(5/2)*d*e*f^2 - 32*a^(5/2)*b^6*c^(3/2)*d^2*e^2*f - 72*a^(7/2)*b^5*c^(1/2)*d^3*e^2*f + 16*a^(7/2)*b^5*c^(3/2)*d^2*e*f^2 + 24*a^(9/2)*b^4*c^(1/2)*d^3*e*f^2))/(d^12*e^6) - ((a*f - b*e)*((1024*(16*a^2*b^6*c^4*f^4 - 9*a^2*b^6*d^4*e^4 - 9*b^8*c^2*d^2*e^4 + 16*a^4*b^4*c^2*d^2*f^4 - 29*a^4*b^4*d^4*e^2*f^2 + 18*a*b^7*c*d^3*e^4 - 16*a*b^7*c^4*e*f^3 + 12*b^8*c^3*d*e^3*f + 88*a^3*b^5*c^3*d*f^4 + 24*a^5*b^3*c*d^3*f^4 + 30*a^3*b^5*d^4*e^3*f + 4*a^5*b^3*d^4*e*f^3 - 66*a*b^7*c^2*d^2*e^3*f + 68*a*b^7*c^3*d*e^2*f^2 - 120*a^2*b^6*c*d^3*e^3*f - 164*a^2*b^6*c^3*d*e*f^3 - 84*a^4*b^4*c*d^3*e*f^3 + 174*a^3*b^5*c*d^3*e^2*f^2 - 172*a^3*b^5*c^2*d^2*e*f^3 + 219*a^2*b^6*c^2*d^2*e^2*f^2))/(d^12*e^6) - ((a*f - b*e)*(((a*f - b*e)*((1024*(24*a^3*b^4*c^3*d^2*f^6 + 12*a^4*b^3*c^2*d^3*f^6 - 9*a^2*b^5*d^5*e^4*f^2 + 24*a^3*b^4*d^5*e^3*f^3 - 16*a^4*b^3*d^5*e^2*f^4 - 9*b^7*c^2*d^3*e^4*f^2 + 24*b^7*c^3*d^2*e^3*f^3 + 12*a^2*b^5*c^4*d*f^6 - 16*b^7*c^4*d*e^2*f^4 + 18*a*b^6*c*d^4*e^4*f^2 + 4*a^4*b^3*c*d^4*e*f^5 - 48*a*b^6*c^2*d^3*e^3*f^3 + 29*a*b^6*c^3*d^2*e^2*f^4 - 48*a^2*b^5*c*d^4*e^3*f^3 - 76*a^2*b^5*c^3*d^2*e*f^5 + 29*a^3*b^4*c*d^4*e^2*f^4 - 76*a^3*b^4*c^2*d^3*e*f^5 + 4*a*b^6*c^4*d*e*f^5 + 118*a^2*b^5*c^2*d^3*e^2*f^4))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(12*a^2*b^4*c^4*d^2*f^6 - 40*a^3*b^3*c^3*d^3*f^6 + 12*a^4*b^2*c^2*d^4*f^6 + 9*a^2*b^4*d^6*e^4*f^2 - 42*a^3*b^3*d^6*e^3*f^3 + 64*a^4*b^2*d^6*e^2*f^4 + 9*b^6*c^2*d^4*e^4*f^2 - 42*b^6*c^3*d^3*e^3*f^3 + 64*b^6*c^4*d^2*e^2*f^4 + 32*a*b^5*c^5*d*f^6 + 32*a^5*b*c*d^5*f^6 - 32*a^5*b*d^6*e*f^5 - 32*b^6*c^5*d*e*f^5 - 18*a*b^5*c*d^5*e^4*f^2 - 76*a*b^5*c^4*d^2*e*f^5 - 76*a^4*b^2*c*d^5*e*f^5 + 18*a*b^5*c^2*d^4*e^3*f^3 + 47*a*b^5*c^3*d^3*e^2*f^4 + 18*a^2*b^4*c*d^5*e^3*f^3 + 36*a^2*b^4*c^3*d^3*e*f^5 + 47*a^3*b^3*c*d^5*e^2*f^4 + 36*a^3*b^3*c^2*d^4*e*f^5 - 78*a^2*b^4*c^2*d^4*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(5/2)*b^4*c^(7/2)*d^2*f^6 + 12*a^(7/2)*b^3*c^(5/2)*d^3*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^4*f^6 - 36*a^(3/2)*b^5*c^(9/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*d*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d^2*e*f^5 - 20*a^(5/2)*b^4*c^(5/2)*d^3*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^4*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^5*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^3 - 59*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^4 - 13*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^4))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*(16*a^(3/2)*b^6*c^(9/2)*f^5 - 16*a^(7/2)*b^4*c^(5/2)*d^2*f^5 - 16*a^(1/2)*b^7*c^(9/2)*e*f^4 + 8*a^(3/2)*b^6*c^(7/2)*d*e*f^4 - 8*a^(1/2)*b^7*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^5*c^(5/2)*d^2*e*f^4 + 40*a^(7/2)*b^4*c^(3/2)*d^3*e*f^4 + 30*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f^2 + 18*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^3 + 20*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^3 - 30*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^3))/(d^12*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(40*a^(5/2)*b^4*c^(7/2)*d^2*f^5 + 176*a^(7/2)*b^3*c^(5/2)*d^3*f^5 - 120*a^(9/2)*b^2*c^(3/2)*d^4*f^5 - 96*a^(3/2)*b^5*c^(9/2)*d*f^5 + 96*a^(1/2)*b^6*c^(9/2)*d*e*f^4 + 152*a^(3/2)*b^5*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^4*c^(5/2)*d^3*e*f^4 + 40*a^(7/2)*b^3*c^(3/2)*d^4*e*f^4 + 120*a^(9/2)*b^2*c^(1/2)*d^5*e*f^4 + 90*a^(1/2)*b^6*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^5*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^4*c^(1/2)*d^5*e^3*f^2 - 192*a^(1/2)*b^6*c^(7/2)*d^2*e^2*f^3 + 142*a^(3/2)*b^5*c^(5/2)*d^3*e^2*f^3 + 260*a^(5/2)*b^4*c^(3/2)*d^4*e^2*f^3 - 210*a^(7/2)*b^3*c^(1/2)*d^5*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(16*a*b^6*c^5*f^5 - 16*b^7*c^5*e*f^4 - 116*a^3*b^4*c^3*d^2*f^5 + 20*a^4*b^3*c^2*d^3*f^5 - 15*a^3*b^4*d^5*e^3*f^2 + 35*a^4*b^3*d^5*e^2*f^3 - 15*b^7*c^3*d^2*e^3*f^2 + 60*a^2*b^5*c^4*d*f^5 + 20*a^5*b^2*c*d^4*f^5 - 20*a^5*b^2*d^5*e*f^4 + 32*b^7*c^4*d*e^2*f^3 - 60*a^4*b^3*c*d^4*e*f^4 + 15*a*b^6*c^2*d^3*e^3*f^2 + 63*a*b^6*c^3*d^2*e^2*f^3 + 15*a^2*b^5*c*d^4*e^3*f^2 + 68*a^2*b^5*c^3*d^2*e*f^4 + 25*a^3*b^4*c*d^4*e^2*f^3 + 120*a^3*b^4*c^2*d^3*e*f^4 - 92*a*b^6*c^4*d*e*f^4 - 155*a^2*b^5*c^2*d^3*e^2*f^3))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(9/2)*b^3*c^(3/2)*d^3*f^4 - 52*a^(7/2)*b^4*c^(5/2)*d^2*f^4 - 32*a^(3/2)*b^6*c^(9/2)*f^4 - 36*a^(11/2)*b^2*c^(1/2)*d^4*f^4 - 28*a^(5/2)*b^5*c^(7/2)*d*f^4 + 32*a^(1/2)*b^7*c^(9/2)*e*f^3 + 112*a^(3/2)*b^6*c^(7/2)*d*e*f^3 + 42*a^(1/2)*b^7*c^(5/2)*d^2*e^3*f + 60*a^(3/2)*b^6*c^(3/2)*d^3*e^3*f + 42*a^(5/2)*b^5*c^(1/2)*d^4*e^3*f - 88*a^(1/2)*b^7*c^(7/2)*d*e^2*f^2 + 130*a^(5/2)*b^5*c^(5/2)*d^2*e*f^3 + 44*a^(7/2)*b^4*c^(3/2)*d^3*e*f^3 + 114*a^(9/2)*b^3*c^(1/2)*d^4*e*f^3 - 108*a^(3/2)*b^6*c^(5/2)*d^2*e^2*f^2 - 120*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f^2 - 116*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^7*c^5*e*f^3 - 32*a^6*b*d^5*f^4 - 64*a*b^6*c^5*f^4 - 9*a^2*b^5*d^5*e^4 - 9*b^7*c^2*d^3*e^4 - 272*a^3*b^4*c^3*d^2*f^4 + 144*a^4*b^3*c^2*d^3*f^4 - 141*a^4*b^3*d^5*e^2*f^2 + 18*a*b^6*c*d^4*e^4 + 128*a^2*b^5*c^4*d*f^4 - 48*a^5*b^2*c*d^4*f^4 + 54*a^3*b^4*d^5*e^3*f + 132*a^5*b^2*d^5*e*f^3 + 36*b^7*c^3*d^2*e^3*f - 96*b^7*c^4*d*e^2*f^2 + 54*a*b^6*c^2*d^3*e^3*f - 36*a^4*b^3*c*d^4*e*f^3 + 12*a*b^6*c^3*d^2*e^2*f^2 + 220*a^2*b^5*c^3*d^2*e*f^3 + 54*a^3*b^4*c*d^4*e^2*f^2 + 84*a^3*b^4*c^2*d^3*e*f^3 - 32*a*b^6*c^4*d*e*f^3 - 261*a^2*b^5*c^2*d^3*e^2*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*b^8*c^3*d*e^3 - 16*b^8*c^4*e^2*f - 16*a^2*b^6*c^4*f^3 + 12*a^3*b^5*d^4*e^3 - 20*a^6*b^2*d^4*f^3 + 164*a^4*b^4*c^2*d^2*f^3 + 32*a*b^7*c^4*e*f^2 - 60*a*b^7*c^2*d^2*e^3 - 60*a^2*b^6*c*d^3*e^3 + 4*a^3*b^5*c^3*d*f^3 - 36*a^5*b^3*c*d^3*f^3 - 48*a^4*b^4*d^4*e^2*f + 56*a^5*b^3*d^4*e*f^2 + 24*a^2*b^6*c^3*d*e*f^2 + 72*a^3*b^5*c*d^3*e^2*f + 24*a^4*b^4*c*d^3*e*f^2 + 320*a^2*b^6*c^2*d^2*e^2*f - 424*a^3*b^5*c^2*d^2*e*f^2 - 40*a*b^7*c^3*d*e^2*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^7*c^(5/2)*d^2*e^3 - 240*a^(3/2)*b^6*c^(3/2)*d^3*e^3 + 72*a^(5/2)*b^5*c^(1/2)*d^4*e^3 + 168*a^(7/2)*b^4*c^(5/2)*d^2*f^3 + 144*a^(9/2)*b^3*c^(3/2)*d^3*f^3 - 120*a^(11/2)*b^2*c^(1/2)*d^4*f^3 - 96*a^(5/2)*b^5*c^(7/2)*d*f^3 - 96*a^(1/2)*b^7*c^(7/2)*d*e^2*f + 192*a^(3/2)*b^6*c^(7/2)*d*e*f^2 + 672*a^(5/2)*b^5*c^(3/2)*d^3*e^2*f - 288*a^(7/2)*b^4*c^(1/2)*d^4*e^2*f - 240*a^(5/2)*b^5*c^(5/2)*d^2*e*f^2 - 576*a^(7/2)*b^4*c^(3/2)*d^3*e*f^2 + 336*a^(9/2)*b^3*c^(1/2)*d^4*e*f^2))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (4096*((a + b*x)^(1/2) - a^(1/2))*(32*a^(1/2)*b^8*c^(7/2)*e^2 + 32*a^(5/2)*b^6*c^(7/2)*f^2 + 16*a^(5/2)*b^6*c^(3/2)*d^2*e^2 + 24*a^(7/2)*b^5*c^(1/2)*d^3*e^2 + 16*a^(9/2)*b^4*c^(3/2)*d^2*f^2 + 24*a^(11/2)*b^3*c^(1/2)*d^3*f^2 - 64*a^(3/2)*b^7*c^(7/2)*e*f - 72*a^(3/2)*b^7*c^(5/2)*d*e^2 - 72*a^(7/2)*b^5*c^(5/2)*d*f^2 - 32*a^(7/2)*b^5*c^(3/2)*d^2*e*f - 48*a^(9/2)*b^4*c^(1/2)*d^3*e*f + 144*a^(5/2)*b^6*c^(5/2)*d*e*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))) + (2048*((a + b*x)^(1/2) - a^(1/2))^2*(64*b^8*c^4*e^2 + 64*a^2*b^6*c^4*f^2 + 36*a^4*b^4*d^4*e^2 + 36*a^6*b^2*d^4*f^2 - 128*a*b^7*c^4*e*f + 132*a^2*b^6*c^2*d^2*e^2 + 132*a^4*b^4*c^2*d^2*f^2 - 160*a*b^7*c^3*d*e^2 - 72*a^5*b^3*d^4*e*f - 72*a^3*b^5*c*d^3*e^2 - 160*a^3*b^5*c^3*d*f^2 - 72*a^5*b^3*c*d^3*f^2 - 264*a^3*b^5*c^2*d^2*e*f + 320*a^2*b^6*c^3*d*e*f + 144*a^4*b^4*c*d^3*e*f))/(d^12*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))*(a*f - b*e)*2i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2))","B"
2300,1,39144,119,107.432946,"\text{Not used}","int((c + d*x)^(1/2)/((e + f*x)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{d}\,\mathrm{atan}\left(\frac{\frac{\sqrt{d}\,\left(\frac{65536\,\left(24\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4-24\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4-24\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4+24\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4-40\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^4+8\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^4+24\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^4-32\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^4+16\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^4+24\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^4-108\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f+176\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f-72\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f+48\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f-44\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f-108\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^3+208\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^3-136\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^3+48\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^3+20\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^3-32\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^3+168\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^2-320\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^2+224\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^2-144\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^2+56\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^2+16\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^2\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(44\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^6-4\,\sqrt{a}\,b^9\,c^{15/2}\,f^6-4\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^6-24\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^6+28\,a^{11/2}\,b^4\,c^{5/2}\,d^5\,f^6-16\,a^{13/2}\,b^3\,c^{3/2}\,d^6\,f^6-24\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^6+51\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^5+16\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^5-150\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^5+116\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^5-85\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^5+36\,a^{11/2}\,b^4\,c^{3/2}\,d^6\,e\,f^5+16\,a^{13/2}\,b^3\,\sqrt{c}\,d^7\,e\,f^5-36\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^2+36\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^2+36\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^2-36\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^2+127\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^3-180\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^3+66\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^3-100\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^3+87\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^3-138\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^4+152\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^4+4\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^4+24\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^4+22\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^4-64\,a^{11/2}\,b^4\,\sqrt{c}\,d^7\,e^2\,f^4\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(24\,a^5\,b^5\,c^3\,d^4\,f^7-51\,a^5\,b^5\,c^2\,d^5\,e\,f^6+30\,a^5\,b^5\,c\,d^6\,e^2\,f^5-3\,a^5\,b^5\,d^7\,e^3\,f^4-44\,a^4\,b^6\,c^4\,d^3\,f^7+52\,a^4\,b^6\,c^3\,d^4\,e\,f^6+31\,a^4\,b^6\,c^2\,d^5\,e^2\,f^5-42\,a^4\,b^6\,c\,d^6\,e^3\,f^4+3\,a^4\,b^6\,d^7\,e^4\,f^3+12\,a^3\,b^7\,c^5\,d^2\,f^7+50\,a^3\,b^7\,c^4\,d^3\,e\,f^6-124\,a^3\,b^7\,c^3\,d^4\,e^2\,f^5+50\,a^3\,b^7\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^7\,c\,d^6\,e^4\,f^3+12\,a^2\,b^8\,c^6\,d\,f^7-48\,a^2\,b^8\,c^5\,d^2\,e\,f^6+30\,a^2\,b^8\,c^4\,d^3\,e^2\,f^5+36\,a^2\,b^8\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^3-4\,a\,b^9\,c^7\,f^7-7\,a\,b^9\,c^6\,d\,e\,f^6+38\,a\,b^9\,c^5\,d^2\,e^2\,f^5-39\,a\,b^9\,c^4\,d^3\,e^3\,f^4+12\,a\,b^9\,c^3\,d^4\,e^4\,f^3+4\,b^{10}\,c^7\,e\,f^6-5\,b^{10}\,c^6\,d\,e^2\,f^5-2\,b^{10}\,c^5\,d^2\,e^3\,f^4+3\,b^{10}\,c^4\,d^3\,e^4\,f^3\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(4\,a^{3/2}\,b^9\,c^{13/2}\,f^8-4\,a^{7/2}\,b^7\,c^{9/2}\,d^2\,f^8-4\,a^{9/2}\,b^6\,c^{7/2}\,d^3\,f^8+4\,a^{13/2}\,b^4\,c^{3/2}\,d^5\,f^8-4\,\sqrt{a}\,b^{10}\,c^{13/2}\,e\,f^7-23\,a^{3/2}\,b^9\,c^{11/2}\,d\,e\,f^7+23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d\,e^2\,f^6+32\,a^{5/2}\,b^8\,c^{9/2}\,d^2\,e\,f^7-10\,a^{7/2}\,b^7\,c^{7/2}\,d^3\,e\,f^7+32\,a^{9/2}\,b^6\,c^{5/2}\,d^4\,e\,f^7-23\,a^{11/2}\,b^5\,c^{3/2}\,d^5\,e\,f^7-4\,a^{13/2}\,b^4\,\sqrt{c}\,d^6\,e\,f^7+12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^3\,e^4\,f^4-12\,a^{3/2}\,b^9\,c^{5/2}\,d^4\,e^4\,f^4-12\,a^{5/2}\,b^8\,c^{3/2}\,d^5\,e^4\,f^4+12\,a^{7/2}\,b^7\,\sqrt{c}\,d^6\,e^4\,f^4-31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^2\,e^3\,f^5+28\,a^{3/2}\,b^9\,c^{7/2}\,d^3\,e^3\,f^5+6\,a^{5/2}\,b^8\,c^{5/2}\,d^4\,e^3\,f^5+28\,a^{7/2}\,b^7\,c^{3/2}\,d^5\,e^3\,f^5-31\,a^{9/2}\,b^6\,\sqrt{c}\,d^6\,e^3\,f^5+3\,a^{3/2}\,b^9\,c^{9/2}\,d^2\,e^2\,f^6-26\,a^{5/2}\,b^8\,c^{7/2}\,d^3\,e^2\,f^6-26\,a^{7/2}\,b^7\,c^{5/2}\,d^4\,e^2\,f^6+3\,a^{9/2}\,b^6\,c^{3/2}\,d^5\,e^2\,f^6+23\,a^{11/2}\,b^5\,\sqrt{c}\,d^6\,e^2\,f^6\right)}{d^{17}\,e^8}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^6\,f^8-8\,a^7\,b^3\,d^7\,e\,f^7-30\,a^6\,b^4\,c^2\,d^5\,f^8+12\,a^6\,b^4\,c\,d^6\,e\,f^7+18\,a^6\,b^4\,d^7\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^4\,f^8-36\,a^5\,b^5\,c^2\,d^5\,e\,f^7-23\,a^5\,b^5\,c\,d^6\,e^2\,f^6-13\,a^5\,b^5\,d^7\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^3\,f^8+32\,a^4\,b^6\,c^3\,d^4\,e\,f^7+74\,a^4\,b^6\,c^2\,d^5\,e^2\,f^6-9\,a^4\,b^6\,c\,d^6\,e^3\,f^5+3\,a^4\,b^6\,d^7\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^2\,f^8+32\,a^3\,b^7\,c^4\,d^3\,e\,f^7-138\,a^3\,b^7\,c^3\,d^4\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^5\,e^3\,f^5+12\,a^3\,b^7\,c\,d^6\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d\,f^8-36\,a^2\,b^8\,c^5\,d^2\,e\,f^7+74\,a^2\,b^8\,c^4\,d^3\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^4\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^4+8\,a\,b^9\,c^7\,f^8+12\,a\,b^9\,c^6\,d\,e\,f^7-23\,a\,b^9\,c^5\,d^2\,e^2\,f^6-9\,a\,b^9\,c^4\,d^3\,e^3\,f^5+12\,a\,b^9\,c^3\,d^4\,e^4\,f^4-8\,b^{10}\,c^7\,e\,f^7+18\,b^{10}\,c^6\,d\,e^2\,f^6-13\,b^{10}\,c^5\,d^2\,e^3\,f^5+3\,b^{10}\,c^4\,d^3\,e^4\,f^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^7-72\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^7-40\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^7+16\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^7-16\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^6+52\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^6+36\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^6+92\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^6-12\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^3+8\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^4+60\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^4+52\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^4+12\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^4+20\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^5-140\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^5+156\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^5+28\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^5-64\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^5\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^7\,b^2\,c\,d^7\,f^6-32\,a^7\,b^2\,d^8\,e\,f^5-120\,a^6\,b^3\,c^2\,d^6\,f^6+48\,a^6\,b^3\,c\,d^7\,e\,f^5+72\,a^6\,b^3\,d^8\,e^2\,f^4+228\,a^5\,b^4\,c^3\,d^5\,f^6-20\,a^5\,b^4\,c^2\,d^6\,e\,f^5-160\,a^5\,b^4\,c\,d^7\,e^2\,f^4-48\,a^5\,b^4\,d^8\,e^3\,f^3-240\,a^4\,b^5\,c^4\,d^4\,f^6-132\,a^4\,b^5\,c^3\,d^5\,e\,f^5+333\,a^4\,b^5\,c^2\,d^6\,e^2\,f^4+30\,a^4\,b^5\,c\,d^7\,e^3\,f^3+9\,a^4\,b^5\,d^8\,e^4\,f^2+136\,a^3\,b^6\,c^5\,d^3\,f^6+288\,a^3\,b^6\,c^4\,d^4\,e\,f^5-428\,a^3\,b^6\,c^3\,d^5\,e^2\,f^4-32\,a^3\,b^6\,c^2\,d^6\,e^3\,f^3+36\,a^3\,b^6\,c\,d^7\,e^4\,f^2-48\,a^2\,b^7\,c^6\,d^2\,f^6-208\,a^2\,b^7\,c^5\,d^3\,e\,f^5+238\,a^2\,b^7\,c^4\,d^4\,e^2\,f^4+108\,a^2\,b^7\,c^3\,d^5\,e^3\,f^3-90\,a^2\,b^7\,c^2\,d^6\,e^4\,f^2+4\,a\,b^8\,c^7\,d\,f^6+116\,a\,b^8\,c^6\,d^2\,e\,f^5-156\,a\,b^8\,c^5\,d^3\,e^2\,f^4+36\,a\,b^8\,c^3\,d^5\,e^4\,f^2+8\,b^9\,c^8\,f^6-60\,b^9\,c^7\,d\,e\,f^5+101\,b^9\,c^6\,d^2\,e^2\,f^4-58\,b^9\,c^5\,d^3\,e^3\,f^3+9\,b^9\,c^4\,d^4\,e^4\,f^2\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(-16\,a^6\,b^3\,c^2\,d^6\,f^5+32\,a^6\,b^3\,c\,d^7\,e\,f^4-16\,a^6\,b^3\,d^8\,e^2\,f^3+36\,a^5\,b^4\,c^3\,d^5\,f^5-56\,a^5\,b^4\,c^2\,d^6\,e\,f^4+4\,a^5\,b^4\,c\,d^7\,e^2\,f^3+16\,a^5\,b^4\,d^8\,e^3\,f^2+24\,a^4\,b^5\,c^4\,d^4\,f^5-111\,a^4\,b^5\,c^3\,d^5\,e\,f^4+153\,a^4\,b^5\,c^2\,d^6\,e^2\,f^3-69\,a^4\,b^5\,c\,d^7\,e^3\,f^2+3\,a^4\,b^5\,d^8\,e^4\,f-100\,a^3\,b^6\,c^5\,d^3\,f^5+232\,a^3\,b^6\,c^4\,d^4\,e\,f^4-152\,a^3\,b^6\,c^3\,d^5\,e^2\,f^3+8\,a^3\,b^6\,c^2\,d^6\,e^3\,f^2+12\,a^3\,b^6\,c\,d^7\,e^4\,f+60\,a^2\,b^7\,c^6\,d^2\,f^5-46\,a^2\,b^7\,c^5\,d^3\,e\,f^4-118\,a^2\,b^7\,c^4\,d^4\,e^2\,f^3+134\,a^2\,b^7\,c^3\,d^5\,e^3\,f^2-30\,a^2\,b^7\,c^2\,d^6\,e^4\,f-72\,a\,b^8\,c^6\,d^2\,e\,f^4+156\,a\,b^8\,c^5\,d^3\,e^2\,f^3-96\,a\,b^8\,c^4\,d^4\,e^3\,f^2+12\,a\,b^8\,c^3\,d^5\,e^4\,f-4\,b^9\,c^8\,f^5+21\,b^9\,c^7\,d\,e\,f^4-27\,b^9\,c^6\,d^2\,e^2\,f^3+7\,b^9\,c^5\,d^3\,e^3\,f^2+3\,b^9\,c^4\,d^4\,e^4\,f\right)}{d^{17}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(24\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^5+112\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^5-296\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^5+240\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^5-64\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^5-16\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^5+12\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4\,f-12\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4\,f-12\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4\,f+12\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4\,f+84\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^4-316\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^4+220\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^4+300\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^4-416\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^4+128\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^4+28\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f^2-244\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f^2+468\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f^2-316\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f^2+64\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f^2-108\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^3+548\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^3-788\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^3+300\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^3+112\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^3-64\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^3\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^6\,b^2\,c^2\,d^7\,f^4-64\,a^6\,b^2\,c\,d^8\,e\,f^3+32\,a^6\,b^2\,d^9\,e^2\,f^2-128\,a^5\,b^3\,c^3\,d^6\,f^4+224\,a^5\,b^3\,c^2\,d^7\,e\,f^3-64\,a^5\,b^3\,c\,d^8\,e^2\,f^2-32\,a^5\,b^3\,d^9\,e^3\,f+258\,a^4\,b^4\,c^4\,d^5\,f^4-456\,a^4\,b^4\,c^3\,d^6\,e\,f^3+144\,a^4\,b^4\,c^2\,d^7\,e^2\,f^2+48\,a^4\,b^4\,c\,d^8\,e^3\,f+6\,a^4\,b^4\,d^9\,e^4-312\,a^3\,b^5\,c^5\,d^4\,f^4+576\,a^3\,b^5\,c^4\,d^5\,e\,f^3-192\,a^3\,b^5\,c^3\,d^6\,e^2\,f^2-96\,a^3\,b^5\,c^2\,d^7\,e^3\,f+24\,a^3\,b^5\,c\,d^8\,e^4+236\,a^2\,b^6\,c^6\,d^3\,f^4-464\,a^2\,b^6\,c^5\,d^4\,e\,f^3+160\,a^2\,b^6\,c^4\,d^5\,e^2\,f^2+128\,a^2\,b^6\,c^3\,d^6\,e^3\,f-60\,a^2\,b^6\,c^2\,d^7\,e^4-120\,a\,b^7\,c^7\,d^2\,f^4+288\,a\,b^7\,c^6\,d^3\,e\,f^3-192\,a\,b^7\,c^5\,d^4\,e^2\,f^2+24\,a\,b^7\,c^3\,d^6\,e^4+34\,b^8\,c^8\,d\,f^4-104\,b^8\,c^7\,d^2\,e\,f^3+112\,b^8\,c^6\,d^3\,e^2\,f^2-48\,b^8\,c^5\,d^4\,e^3\,f+6\,b^8\,c^4\,d^5\,e^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,2{}\mathrm{i}}{\sqrt{b}\,f}+\frac{\sqrt{d}\,\left(\frac{65536\,\left(24\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4-24\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4-24\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4+24\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4-40\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^4+8\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^4+24\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^4-32\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^4+16\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^4+24\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^4-108\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f+176\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f-72\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f+48\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f-44\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f-108\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^3+208\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^3-136\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^3+48\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^3+20\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^3-32\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^3+168\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^2-320\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^2+224\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^2-144\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^2+56\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^2+16\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^2\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(-16\,a^6\,b^3\,c^2\,d^6\,f^5+32\,a^6\,b^3\,c\,d^7\,e\,f^4-16\,a^6\,b^3\,d^8\,e^2\,f^3+36\,a^5\,b^4\,c^3\,d^5\,f^5-56\,a^5\,b^4\,c^2\,d^6\,e\,f^4+4\,a^5\,b^4\,c\,d^7\,e^2\,f^3+16\,a^5\,b^4\,d^8\,e^3\,f^2+24\,a^4\,b^5\,c^4\,d^4\,f^5-111\,a^4\,b^5\,c^3\,d^5\,e\,f^4+153\,a^4\,b^5\,c^2\,d^6\,e^2\,f^3-69\,a^4\,b^5\,c\,d^7\,e^3\,f^2+3\,a^4\,b^5\,d^8\,e^4\,f-100\,a^3\,b^6\,c^5\,d^3\,f^5+232\,a^3\,b^6\,c^4\,d^4\,e\,f^4-152\,a^3\,b^6\,c^3\,d^5\,e^2\,f^3+8\,a^3\,b^6\,c^2\,d^6\,e^3\,f^2+12\,a^3\,b^6\,c\,d^7\,e^4\,f+60\,a^2\,b^7\,c^6\,d^2\,f^5-46\,a^2\,b^7\,c^5\,d^3\,e\,f^4-118\,a^2\,b^7\,c^4\,d^4\,e^2\,f^3+134\,a^2\,b^7\,c^3\,d^5\,e^3\,f^2-30\,a^2\,b^7\,c^2\,d^6\,e^4\,f-72\,a\,b^8\,c^6\,d^2\,e\,f^4+156\,a\,b^8\,c^5\,d^3\,e^2\,f^3-96\,a\,b^8\,c^4\,d^4\,e^3\,f^2+12\,a\,b^8\,c^3\,d^5\,e^4\,f-4\,b^9\,c^8\,f^5+21\,b^9\,c^7\,d\,e\,f^4-27\,b^9\,c^6\,d^2\,e^2\,f^3+7\,b^9\,c^5\,d^3\,e^3\,f^2+3\,b^9\,c^4\,d^4\,e^4\,f\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(44\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^6-4\,\sqrt{a}\,b^9\,c^{15/2}\,f^6-4\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^6-24\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^6+28\,a^{11/2}\,b^4\,c^{5/2}\,d^5\,f^6-16\,a^{13/2}\,b^3\,c^{3/2}\,d^6\,f^6-24\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^6+51\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^5+16\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^5-150\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^5+116\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^5-85\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^5+36\,a^{11/2}\,b^4\,c^{3/2}\,d^6\,e\,f^5+16\,a^{13/2}\,b^3\,\sqrt{c}\,d^7\,e\,f^5-36\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^2+36\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^2+36\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^2-36\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^2+127\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^3-180\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^3+66\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^3-100\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^3+87\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^3-138\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^4+152\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^4+4\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^4+24\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^4+22\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^4-64\,a^{11/2}\,b^4\,\sqrt{c}\,d^7\,e^2\,f^4\right)}{d^{17}\,e^8}-\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(24\,a^5\,b^5\,c^3\,d^4\,f^7-51\,a^5\,b^5\,c^2\,d^5\,e\,f^6+30\,a^5\,b^5\,c\,d^6\,e^2\,f^5-3\,a^5\,b^5\,d^7\,e^3\,f^4-44\,a^4\,b^6\,c^4\,d^3\,f^7+52\,a^4\,b^6\,c^3\,d^4\,e\,f^6+31\,a^4\,b^6\,c^2\,d^5\,e^2\,f^5-42\,a^4\,b^6\,c\,d^6\,e^3\,f^4+3\,a^4\,b^6\,d^7\,e^4\,f^3+12\,a^3\,b^7\,c^5\,d^2\,f^7+50\,a^3\,b^7\,c^4\,d^3\,e\,f^6-124\,a^3\,b^7\,c^3\,d^4\,e^2\,f^5+50\,a^3\,b^7\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^7\,c\,d^6\,e^4\,f^3+12\,a^2\,b^8\,c^6\,d\,f^7-48\,a^2\,b^8\,c^5\,d^2\,e\,f^6+30\,a^2\,b^8\,c^4\,d^3\,e^2\,f^5+36\,a^2\,b^8\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^3-4\,a\,b^9\,c^7\,f^7-7\,a\,b^9\,c^6\,d\,e\,f^6+38\,a\,b^9\,c^5\,d^2\,e^2\,f^5-39\,a\,b^9\,c^4\,d^3\,e^3\,f^4+12\,a\,b^9\,c^3\,d^4\,e^4\,f^3+4\,b^{10}\,c^7\,e\,f^6-5\,b^{10}\,c^6\,d\,e^2\,f^5-2\,b^{10}\,c^5\,d^2\,e^3\,f^4+3\,b^{10}\,c^4\,d^3\,e^4\,f^3\right)}{d^{17}\,e^8}-\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(4\,a^{3/2}\,b^9\,c^{13/2}\,f^8-4\,a^{7/2}\,b^7\,c^{9/2}\,d^2\,f^8-4\,a^{9/2}\,b^6\,c^{7/2}\,d^3\,f^8+4\,a^{13/2}\,b^4\,c^{3/2}\,d^5\,f^8-4\,\sqrt{a}\,b^{10}\,c^{13/2}\,e\,f^7-23\,a^{3/2}\,b^9\,c^{11/2}\,d\,e\,f^7+23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d\,e^2\,f^6+32\,a^{5/2}\,b^8\,c^{9/2}\,d^2\,e\,f^7-10\,a^{7/2}\,b^7\,c^{7/2}\,d^3\,e\,f^7+32\,a^{9/2}\,b^6\,c^{5/2}\,d^4\,e\,f^7-23\,a^{11/2}\,b^5\,c^{3/2}\,d^5\,e\,f^7-4\,a^{13/2}\,b^4\,\sqrt{c}\,d^6\,e\,f^7+12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^3\,e^4\,f^4-12\,a^{3/2}\,b^9\,c^{5/2}\,d^4\,e^4\,f^4-12\,a^{5/2}\,b^8\,c^{3/2}\,d^5\,e^4\,f^4+12\,a^{7/2}\,b^7\,\sqrt{c}\,d^6\,e^4\,f^4-31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^2\,e^3\,f^5+28\,a^{3/2}\,b^9\,c^{7/2}\,d^3\,e^3\,f^5+6\,a^{5/2}\,b^8\,c^{5/2}\,d^4\,e^3\,f^5+28\,a^{7/2}\,b^7\,c^{3/2}\,d^5\,e^3\,f^5-31\,a^{9/2}\,b^6\,\sqrt{c}\,d^6\,e^3\,f^5+3\,a^{3/2}\,b^9\,c^{9/2}\,d^2\,e^2\,f^6-26\,a^{5/2}\,b^8\,c^{7/2}\,d^3\,e^2\,f^6-26\,a^{7/2}\,b^7\,c^{5/2}\,d^4\,e^2\,f^6+3\,a^{9/2}\,b^6\,c^{3/2}\,d^5\,e^2\,f^6+23\,a^{11/2}\,b^5\,\sqrt{c}\,d^6\,e^2\,f^6\right)}{d^{17}\,e^8}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^6\,f^8-8\,a^7\,b^3\,d^7\,e\,f^7-30\,a^6\,b^4\,c^2\,d^5\,f^8+12\,a^6\,b^4\,c\,d^6\,e\,f^7+18\,a^6\,b^4\,d^7\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^4\,f^8-36\,a^5\,b^5\,c^2\,d^5\,e\,f^7-23\,a^5\,b^5\,c\,d^6\,e^2\,f^6-13\,a^5\,b^5\,d^7\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^3\,f^8+32\,a^4\,b^6\,c^3\,d^4\,e\,f^7+74\,a^4\,b^6\,c^2\,d^5\,e^2\,f^6-9\,a^4\,b^6\,c\,d^6\,e^3\,f^5+3\,a^4\,b^6\,d^7\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^2\,f^8+32\,a^3\,b^7\,c^4\,d^3\,e\,f^7-138\,a^3\,b^7\,c^3\,d^4\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^5\,e^3\,f^5+12\,a^3\,b^7\,c\,d^6\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d\,f^8-36\,a^2\,b^8\,c^5\,d^2\,e\,f^7+74\,a^2\,b^8\,c^4\,d^3\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^4\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^4+8\,a\,b^9\,c^7\,f^8+12\,a\,b^9\,c^6\,d\,e\,f^7-23\,a\,b^9\,c^5\,d^2\,e^2\,f^6-9\,a\,b^9\,c^4\,d^3\,e^3\,f^5+12\,a\,b^9\,c^3\,d^4\,e^4\,f^4-8\,b^{10}\,c^7\,e\,f^7+18\,b^{10}\,c^6\,d\,e^2\,f^6-13\,b^{10}\,c^5\,d^2\,e^3\,f^5+3\,b^{10}\,c^4\,d^3\,e^4\,f^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^7-72\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^7-40\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^7+16\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^7-16\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^6+52\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^6+36\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^6+92\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^6-12\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^3+8\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^4+60\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^4+52\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^4+12\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^4+20\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^5-140\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^5+156\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^5+28\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^5-64\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^5\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^7\,b^2\,c\,d^7\,f^6-32\,a^7\,b^2\,d^8\,e\,f^5-120\,a^6\,b^3\,c^2\,d^6\,f^6+48\,a^6\,b^3\,c\,d^7\,e\,f^5+72\,a^6\,b^3\,d^8\,e^2\,f^4+228\,a^5\,b^4\,c^3\,d^5\,f^6-20\,a^5\,b^4\,c^2\,d^6\,e\,f^5-160\,a^5\,b^4\,c\,d^7\,e^2\,f^4-48\,a^5\,b^4\,d^8\,e^3\,f^3-240\,a^4\,b^5\,c^4\,d^4\,f^6-132\,a^4\,b^5\,c^3\,d^5\,e\,f^5+333\,a^4\,b^5\,c^2\,d^6\,e^2\,f^4+30\,a^4\,b^5\,c\,d^7\,e^3\,f^3+9\,a^4\,b^5\,d^8\,e^4\,f^2+136\,a^3\,b^6\,c^5\,d^3\,f^6+288\,a^3\,b^6\,c^4\,d^4\,e\,f^5-428\,a^3\,b^6\,c^3\,d^5\,e^2\,f^4-32\,a^3\,b^6\,c^2\,d^6\,e^3\,f^3+36\,a^3\,b^6\,c\,d^7\,e^4\,f^2-48\,a^2\,b^7\,c^6\,d^2\,f^6-208\,a^2\,b^7\,c^5\,d^3\,e\,f^5+238\,a^2\,b^7\,c^4\,d^4\,e^2\,f^4+108\,a^2\,b^7\,c^3\,d^5\,e^3\,f^3-90\,a^2\,b^7\,c^2\,d^6\,e^4\,f^2+4\,a\,b^8\,c^7\,d\,f^6+116\,a\,b^8\,c^6\,d^2\,e\,f^5-156\,a\,b^8\,c^5\,d^3\,e^2\,f^4+36\,a\,b^8\,c^3\,d^5\,e^4\,f^2+8\,b^9\,c^8\,f^6-60\,b^9\,c^7\,d\,e\,f^5+101\,b^9\,c^6\,d^2\,e^2\,f^4-58\,b^9\,c^5\,d^3\,e^3\,f^3+9\,b^9\,c^4\,d^4\,e^4\,f^2\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(24\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^5+112\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^5-296\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^5+240\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^5-64\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^5-16\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^5+12\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4\,f-12\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4\,f-12\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4\,f+12\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4\,f+84\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^4-316\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^4+220\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^4+300\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^4-416\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^4+128\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^4+28\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f^2-244\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f^2+468\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f^2-316\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f^2+64\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f^2-108\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^3+548\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^3-788\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^3+300\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^3+112\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^3-64\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^3\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^6\,b^2\,c^2\,d^7\,f^4-64\,a^6\,b^2\,c\,d^8\,e\,f^3+32\,a^6\,b^2\,d^9\,e^2\,f^2-128\,a^5\,b^3\,c^3\,d^6\,f^4+224\,a^5\,b^3\,c^2\,d^7\,e\,f^3-64\,a^5\,b^3\,c\,d^8\,e^2\,f^2-32\,a^5\,b^3\,d^9\,e^3\,f+258\,a^4\,b^4\,c^4\,d^5\,f^4-456\,a^4\,b^4\,c^3\,d^6\,e\,f^3+144\,a^4\,b^4\,c^2\,d^7\,e^2\,f^2+48\,a^4\,b^4\,c\,d^8\,e^3\,f+6\,a^4\,b^4\,d^9\,e^4-312\,a^3\,b^5\,c^5\,d^4\,f^4+576\,a^3\,b^5\,c^4\,d^5\,e\,f^3-192\,a^3\,b^5\,c^3\,d^6\,e^2\,f^2-96\,a^3\,b^5\,c^2\,d^7\,e^3\,f+24\,a^3\,b^5\,c\,d^8\,e^4+236\,a^2\,b^6\,c^6\,d^3\,f^4-464\,a^2\,b^6\,c^5\,d^4\,e\,f^3+160\,a^2\,b^6\,c^4\,d^5\,e^2\,f^2+128\,a^2\,b^6\,c^3\,d^6\,e^3\,f-60\,a^2\,b^6\,c^2\,d^7\,e^4-120\,a\,b^7\,c^7\,d^2\,f^4+288\,a\,b^7\,c^6\,d^3\,e\,f^3-192\,a\,b^7\,c^5\,d^4\,e^2\,f^2+24\,a\,b^7\,c^3\,d^6\,e^4+34\,b^8\,c^8\,d\,f^4-104\,b^8\,c^7\,d^2\,e\,f^3+112\,b^8\,c^6\,d^3\,e^2\,f^2-48\,b^8\,c^5\,d^4\,e^3\,f+6\,b^8\,c^4\,d^5\,e^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,2{}\mathrm{i}}{\sqrt{b}\,f}}{\frac{131072\,\left(16\,a^5\,b^3\,c^3\,d^6\,f^3-48\,a^5\,b^3\,c^2\,d^7\,e\,f^2+48\,a^5\,b^3\,c\,d^8\,e^2\,f-16\,a^5\,b^3\,d^9\,e^3-36\,a^4\,b^4\,c^4\,d^5\,f^3+108\,a^4\,b^4\,c^3\,d^6\,e\,f^2-108\,a^4\,b^4\,c^2\,d^7\,e^2\,f+36\,a^4\,b^4\,c\,d^8\,e^3+56\,a^2\,b^6\,c^6\,d^3\,f^3-168\,a^2\,b^6\,c^5\,d^4\,e\,f^2+168\,a^2\,b^6\,c^4\,d^5\,e^2\,f-56\,a^2\,b^6\,c^3\,d^6\,e^3-48\,a\,b^7\,c^7\,d^2\,f^3+144\,a\,b^7\,c^6\,d^3\,e\,f^2-144\,a\,b^7\,c^5\,d^4\,e^2\,f+48\,a\,b^7\,c^4\,d^5\,e^3+12\,b^8\,c^8\,d\,f^3-36\,b^8\,c^7\,d^2\,e\,f^2+36\,b^8\,c^6\,d^3\,e^2\,f-12\,b^8\,c^5\,d^4\,e^3\right)}{d^{17}\,e^8}-\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(24\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4-24\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4-24\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4+24\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4-40\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^4+8\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^4+24\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^4-32\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^4+16\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^4+24\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^4-108\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f+176\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f-72\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f+48\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f-44\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f-108\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^3+208\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^3-136\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^3+48\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^3+20\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^3-32\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^3+168\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^2-320\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^2+224\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^2-144\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^2+56\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^2+16\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^2\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(44\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^6-4\,\sqrt{a}\,b^9\,c^{15/2}\,f^6-4\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^6-24\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^6+28\,a^{11/2}\,b^4\,c^{5/2}\,d^5\,f^6-16\,a^{13/2}\,b^3\,c^{3/2}\,d^6\,f^6-24\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^6+51\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^5+16\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^5-150\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^5+116\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^5-85\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^5+36\,a^{11/2}\,b^4\,c^{3/2}\,d^6\,e\,f^5+16\,a^{13/2}\,b^3\,\sqrt{c}\,d^7\,e\,f^5-36\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^2+36\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^2+36\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^2-36\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^2+127\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^3-180\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^3+66\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^3-100\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^3+87\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^3-138\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^4+152\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^4+4\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^4+24\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^4+22\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^4-64\,a^{11/2}\,b^4\,\sqrt{c}\,d^7\,e^2\,f^4\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(24\,a^5\,b^5\,c^3\,d^4\,f^7-51\,a^5\,b^5\,c^2\,d^5\,e\,f^6+30\,a^5\,b^5\,c\,d^6\,e^2\,f^5-3\,a^5\,b^5\,d^7\,e^3\,f^4-44\,a^4\,b^6\,c^4\,d^3\,f^7+52\,a^4\,b^6\,c^3\,d^4\,e\,f^6+31\,a^4\,b^6\,c^2\,d^5\,e^2\,f^5-42\,a^4\,b^6\,c\,d^6\,e^3\,f^4+3\,a^4\,b^6\,d^7\,e^4\,f^3+12\,a^3\,b^7\,c^5\,d^2\,f^7+50\,a^3\,b^7\,c^4\,d^3\,e\,f^6-124\,a^3\,b^7\,c^3\,d^4\,e^2\,f^5+50\,a^3\,b^7\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^7\,c\,d^6\,e^4\,f^3+12\,a^2\,b^8\,c^6\,d\,f^7-48\,a^2\,b^8\,c^5\,d^2\,e\,f^6+30\,a^2\,b^8\,c^4\,d^3\,e^2\,f^5+36\,a^2\,b^8\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^3-4\,a\,b^9\,c^7\,f^7-7\,a\,b^9\,c^6\,d\,e\,f^6+38\,a\,b^9\,c^5\,d^2\,e^2\,f^5-39\,a\,b^9\,c^4\,d^3\,e^3\,f^4+12\,a\,b^9\,c^3\,d^4\,e^4\,f^3+4\,b^{10}\,c^7\,e\,f^6-5\,b^{10}\,c^6\,d\,e^2\,f^5-2\,b^{10}\,c^5\,d^2\,e^3\,f^4+3\,b^{10}\,c^4\,d^3\,e^4\,f^3\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(4\,a^{3/2}\,b^9\,c^{13/2}\,f^8-4\,a^{7/2}\,b^7\,c^{9/2}\,d^2\,f^8-4\,a^{9/2}\,b^6\,c^{7/2}\,d^3\,f^8+4\,a^{13/2}\,b^4\,c^{3/2}\,d^5\,f^8-4\,\sqrt{a}\,b^{10}\,c^{13/2}\,e\,f^7-23\,a^{3/2}\,b^9\,c^{11/2}\,d\,e\,f^7+23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d\,e^2\,f^6+32\,a^{5/2}\,b^8\,c^{9/2}\,d^2\,e\,f^7-10\,a^{7/2}\,b^7\,c^{7/2}\,d^3\,e\,f^7+32\,a^{9/2}\,b^6\,c^{5/2}\,d^4\,e\,f^7-23\,a^{11/2}\,b^5\,c^{3/2}\,d^5\,e\,f^7-4\,a^{13/2}\,b^4\,\sqrt{c}\,d^6\,e\,f^7+12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^3\,e^4\,f^4-12\,a^{3/2}\,b^9\,c^{5/2}\,d^4\,e^4\,f^4-12\,a^{5/2}\,b^8\,c^{3/2}\,d^5\,e^4\,f^4+12\,a^{7/2}\,b^7\,\sqrt{c}\,d^6\,e^4\,f^4-31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^2\,e^3\,f^5+28\,a^{3/2}\,b^9\,c^{7/2}\,d^3\,e^3\,f^5+6\,a^{5/2}\,b^8\,c^{5/2}\,d^4\,e^3\,f^5+28\,a^{7/2}\,b^7\,c^{3/2}\,d^5\,e^3\,f^5-31\,a^{9/2}\,b^6\,\sqrt{c}\,d^6\,e^3\,f^5+3\,a^{3/2}\,b^9\,c^{9/2}\,d^2\,e^2\,f^6-26\,a^{5/2}\,b^8\,c^{7/2}\,d^3\,e^2\,f^6-26\,a^{7/2}\,b^7\,c^{5/2}\,d^4\,e^2\,f^6+3\,a^{9/2}\,b^6\,c^{3/2}\,d^5\,e^2\,f^6+23\,a^{11/2}\,b^5\,\sqrt{c}\,d^6\,e^2\,f^6\right)}{d^{17}\,e^8}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^6\,f^8-8\,a^7\,b^3\,d^7\,e\,f^7-30\,a^6\,b^4\,c^2\,d^5\,f^8+12\,a^6\,b^4\,c\,d^6\,e\,f^7+18\,a^6\,b^4\,d^7\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^4\,f^8-36\,a^5\,b^5\,c^2\,d^5\,e\,f^7-23\,a^5\,b^5\,c\,d^6\,e^2\,f^6-13\,a^5\,b^5\,d^7\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^3\,f^8+32\,a^4\,b^6\,c^3\,d^4\,e\,f^7+74\,a^4\,b^6\,c^2\,d^5\,e^2\,f^6-9\,a^4\,b^6\,c\,d^6\,e^3\,f^5+3\,a^4\,b^6\,d^7\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^2\,f^8+32\,a^3\,b^7\,c^4\,d^3\,e\,f^7-138\,a^3\,b^7\,c^3\,d^4\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^5\,e^3\,f^5+12\,a^3\,b^7\,c\,d^6\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d\,f^8-36\,a^2\,b^8\,c^5\,d^2\,e\,f^7+74\,a^2\,b^8\,c^4\,d^3\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^4\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^4+8\,a\,b^9\,c^7\,f^8+12\,a\,b^9\,c^6\,d\,e\,f^7-23\,a\,b^9\,c^5\,d^2\,e^2\,f^6-9\,a\,b^9\,c^4\,d^3\,e^3\,f^5+12\,a\,b^9\,c^3\,d^4\,e^4\,f^4-8\,b^{10}\,c^7\,e\,f^7+18\,b^{10}\,c^6\,d\,e^2\,f^6-13\,b^{10}\,c^5\,d^2\,e^3\,f^5+3\,b^{10}\,c^4\,d^3\,e^4\,f^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^7-72\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^7-40\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^7+16\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^7-16\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^6+52\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^6+36\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^6+92\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^6-12\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^3+8\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^4+60\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^4+52\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^4+12\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^4+20\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^5-140\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^5+156\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^5+28\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^5-64\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^5\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^7\,b^2\,c\,d^7\,f^6-32\,a^7\,b^2\,d^8\,e\,f^5-120\,a^6\,b^3\,c^2\,d^6\,f^6+48\,a^6\,b^3\,c\,d^7\,e\,f^5+72\,a^6\,b^3\,d^8\,e^2\,f^4+228\,a^5\,b^4\,c^3\,d^5\,f^6-20\,a^5\,b^4\,c^2\,d^6\,e\,f^5-160\,a^5\,b^4\,c\,d^7\,e^2\,f^4-48\,a^5\,b^4\,d^8\,e^3\,f^3-240\,a^4\,b^5\,c^4\,d^4\,f^6-132\,a^4\,b^5\,c^3\,d^5\,e\,f^5+333\,a^4\,b^5\,c^2\,d^6\,e^2\,f^4+30\,a^4\,b^5\,c\,d^7\,e^3\,f^3+9\,a^4\,b^5\,d^8\,e^4\,f^2+136\,a^3\,b^6\,c^5\,d^3\,f^6+288\,a^3\,b^6\,c^4\,d^4\,e\,f^5-428\,a^3\,b^6\,c^3\,d^5\,e^2\,f^4-32\,a^3\,b^6\,c^2\,d^6\,e^3\,f^3+36\,a^3\,b^6\,c\,d^7\,e^4\,f^2-48\,a^2\,b^7\,c^6\,d^2\,f^6-208\,a^2\,b^7\,c^5\,d^3\,e\,f^5+238\,a^2\,b^7\,c^4\,d^4\,e^2\,f^4+108\,a^2\,b^7\,c^3\,d^5\,e^3\,f^3-90\,a^2\,b^7\,c^2\,d^6\,e^4\,f^2+4\,a\,b^8\,c^7\,d\,f^6+116\,a\,b^8\,c^6\,d^2\,e\,f^5-156\,a\,b^8\,c^5\,d^3\,e^2\,f^4+36\,a\,b^8\,c^3\,d^5\,e^4\,f^2+8\,b^9\,c^8\,f^6-60\,b^9\,c^7\,d\,e\,f^5+101\,b^9\,c^6\,d^2\,e^2\,f^4-58\,b^9\,c^5\,d^3\,e^3\,f^3+9\,b^9\,c^4\,d^4\,e^4\,f^2\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(-16\,a^6\,b^3\,c^2\,d^6\,f^5+32\,a^6\,b^3\,c\,d^7\,e\,f^4-16\,a^6\,b^3\,d^8\,e^2\,f^3+36\,a^5\,b^4\,c^3\,d^5\,f^5-56\,a^5\,b^4\,c^2\,d^6\,e\,f^4+4\,a^5\,b^4\,c\,d^7\,e^2\,f^3+16\,a^5\,b^4\,d^8\,e^3\,f^2+24\,a^4\,b^5\,c^4\,d^4\,f^5-111\,a^4\,b^5\,c^3\,d^5\,e\,f^4+153\,a^4\,b^5\,c^2\,d^6\,e^2\,f^3-69\,a^4\,b^5\,c\,d^7\,e^3\,f^2+3\,a^4\,b^5\,d^8\,e^4\,f-100\,a^3\,b^6\,c^5\,d^3\,f^5+232\,a^3\,b^6\,c^4\,d^4\,e\,f^4-152\,a^3\,b^6\,c^3\,d^5\,e^2\,f^3+8\,a^3\,b^6\,c^2\,d^6\,e^3\,f^2+12\,a^3\,b^6\,c\,d^7\,e^4\,f+60\,a^2\,b^7\,c^6\,d^2\,f^5-46\,a^2\,b^7\,c^5\,d^3\,e\,f^4-118\,a^2\,b^7\,c^4\,d^4\,e^2\,f^3+134\,a^2\,b^7\,c^3\,d^5\,e^3\,f^2-30\,a^2\,b^7\,c^2\,d^6\,e^4\,f-72\,a\,b^8\,c^6\,d^2\,e\,f^4+156\,a\,b^8\,c^5\,d^3\,e^2\,f^3-96\,a\,b^8\,c^4\,d^4\,e^3\,f^2+12\,a\,b^8\,c^3\,d^5\,e^4\,f-4\,b^9\,c^8\,f^5+21\,b^9\,c^7\,d\,e\,f^4-27\,b^9\,c^6\,d^2\,e^2\,f^3+7\,b^9\,c^5\,d^3\,e^3\,f^2+3\,b^9\,c^4\,d^4\,e^4\,f\right)}{d^{17}\,e^8}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(24\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^5+112\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^5-296\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^5+240\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^5-64\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^5-16\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^5+12\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4\,f-12\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4\,f-12\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4\,f+12\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4\,f+84\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^4-316\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^4+220\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^4+300\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^4-416\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^4+128\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^4+28\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f^2-244\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f^2+468\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f^2-316\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f^2+64\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f^2-108\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^3+548\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^3-788\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^3+300\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^3+112\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^3-64\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^3\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^6\,b^2\,c^2\,d^7\,f^4-64\,a^6\,b^2\,c\,d^8\,e\,f^3+32\,a^6\,b^2\,d^9\,e^2\,f^2-128\,a^5\,b^3\,c^3\,d^6\,f^4+224\,a^5\,b^3\,c^2\,d^7\,e\,f^3-64\,a^5\,b^3\,c\,d^8\,e^2\,f^2-32\,a^5\,b^3\,d^9\,e^3\,f+258\,a^4\,b^4\,c^4\,d^5\,f^4-456\,a^4\,b^4\,c^3\,d^6\,e\,f^3+144\,a^4\,b^4\,c^2\,d^7\,e^2\,f^2+48\,a^4\,b^4\,c\,d^8\,e^3\,f+6\,a^4\,b^4\,d^9\,e^4-312\,a^3\,b^5\,c^5\,d^4\,f^4+576\,a^3\,b^5\,c^4\,d^5\,e\,f^3-192\,a^3\,b^5\,c^3\,d^6\,e^2\,f^2-96\,a^3\,b^5\,c^2\,d^7\,e^3\,f+24\,a^3\,b^5\,c\,d^8\,e^4+236\,a^2\,b^6\,c^6\,d^3\,f^4-464\,a^2\,b^6\,c^5\,d^4\,e\,f^3+160\,a^2\,b^6\,c^4\,d^5\,e^2\,f^2+128\,a^2\,b^6\,c^3\,d^6\,e^3\,f-60\,a^2\,b^6\,c^2\,d^7\,e^4-120\,a\,b^7\,c^7\,d^2\,f^4+288\,a\,b^7\,c^6\,d^3\,e\,f^3-192\,a\,b^7\,c^5\,d^4\,e^2\,f^2+24\,a\,b^7\,c^3\,d^6\,e^4+34\,b^8\,c^8\,d\,f^4-104\,b^8\,c^7\,d^2\,e\,f^3+112\,b^8\,c^6\,d^3\,e^2\,f^2-48\,b^8\,c^5\,d^4\,e^3\,f+6\,b^8\,c^4\,d^5\,e^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(24\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4-24\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4-24\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4+24\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4-40\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^4+8\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^4+24\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^4-32\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^4+16\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^4+24\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^4-108\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f+176\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f-72\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f+48\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f-44\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f-108\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^3+208\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^3-136\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^3+48\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^3+20\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^3-32\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^3+168\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^2-320\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^2+224\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^2-144\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^2+56\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^2+16\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^2\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(-16\,a^6\,b^3\,c^2\,d^6\,f^5+32\,a^6\,b^3\,c\,d^7\,e\,f^4-16\,a^6\,b^3\,d^8\,e^2\,f^3+36\,a^5\,b^4\,c^3\,d^5\,f^5-56\,a^5\,b^4\,c^2\,d^6\,e\,f^4+4\,a^5\,b^4\,c\,d^7\,e^2\,f^3+16\,a^5\,b^4\,d^8\,e^3\,f^2+24\,a^4\,b^5\,c^4\,d^4\,f^5-111\,a^4\,b^5\,c^3\,d^5\,e\,f^4+153\,a^4\,b^5\,c^2\,d^6\,e^2\,f^3-69\,a^4\,b^5\,c\,d^7\,e^3\,f^2+3\,a^4\,b^5\,d^8\,e^4\,f-100\,a^3\,b^6\,c^5\,d^3\,f^5+232\,a^3\,b^6\,c^4\,d^4\,e\,f^4-152\,a^3\,b^6\,c^3\,d^5\,e^2\,f^3+8\,a^3\,b^6\,c^2\,d^6\,e^3\,f^2+12\,a^3\,b^6\,c\,d^7\,e^4\,f+60\,a^2\,b^7\,c^6\,d^2\,f^5-46\,a^2\,b^7\,c^5\,d^3\,e\,f^4-118\,a^2\,b^7\,c^4\,d^4\,e^2\,f^3+134\,a^2\,b^7\,c^3\,d^5\,e^3\,f^2-30\,a^2\,b^7\,c^2\,d^6\,e^4\,f-72\,a\,b^8\,c^6\,d^2\,e\,f^4+156\,a\,b^8\,c^5\,d^3\,e^2\,f^3-96\,a\,b^8\,c^4\,d^4\,e^3\,f^2+12\,a\,b^8\,c^3\,d^5\,e^4\,f-4\,b^9\,c^8\,f^5+21\,b^9\,c^7\,d\,e\,f^4-27\,b^9\,c^6\,d^2\,e^2\,f^3+7\,b^9\,c^5\,d^3\,e^3\,f^2+3\,b^9\,c^4\,d^4\,e^4\,f\right)}{d^{17}\,e^8}+\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(44\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^6-4\,\sqrt{a}\,b^9\,c^{15/2}\,f^6-4\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^6-24\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^6+28\,a^{11/2}\,b^4\,c^{5/2}\,d^5\,f^6-16\,a^{13/2}\,b^3\,c^{3/2}\,d^6\,f^6-24\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^6+51\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^5+16\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^5-150\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^5+116\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^5-85\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^5+36\,a^{11/2}\,b^4\,c^{3/2}\,d^6\,e\,f^5+16\,a^{13/2}\,b^3\,\sqrt{c}\,d^7\,e\,f^5-36\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^2+36\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^2+36\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^2-36\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^2+127\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^3-180\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^3+66\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^3-100\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^3+87\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^3-138\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^4+152\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^4+4\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^4+24\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^4+22\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^4-64\,a^{11/2}\,b^4\,\sqrt{c}\,d^7\,e^2\,f^4\right)}{d^{17}\,e^8}-\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(24\,a^5\,b^5\,c^3\,d^4\,f^7-51\,a^5\,b^5\,c^2\,d^5\,e\,f^6+30\,a^5\,b^5\,c\,d^6\,e^2\,f^5-3\,a^5\,b^5\,d^7\,e^3\,f^4-44\,a^4\,b^6\,c^4\,d^3\,f^7+52\,a^4\,b^6\,c^3\,d^4\,e\,f^6+31\,a^4\,b^6\,c^2\,d^5\,e^2\,f^5-42\,a^4\,b^6\,c\,d^6\,e^3\,f^4+3\,a^4\,b^6\,d^7\,e^4\,f^3+12\,a^3\,b^7\,c^5\,d^2\,f^7+50\,a^3\,b^7\,c^4\,d^3\,e\,f^6-124\,a^3\,b^7\,c^3\,d^4\,e^2\,f^5+50\,a^3\,b^7\,c^2\,d^5\,e^3\,f^4+12\,a^3\,b^7\,c\,d^6\,e^4\,f^3+12\,a^2\,b^8\,c^6\,d\,f^7-48\,a^2\,b^8\,c^5\,d^2\,e\,f^6+30\,a^2\,b^8\,c^4\,d^3\,e^2\,f^5+36\,a^2\,b^8\,c^3\,d^4\,e^3\,f^4-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^3-4\,a\,b^9\,c^7\,f^7-7\,a\,b^9\,c^6\,d\,e\,f^6+38\,a\,b^9\,c^5\,d^2\,e^2\,f^5-39\,a\,b^9\,c^4\,d^3\,e^3\,f^4+12\,a\,b^9\,c^3\,d^4\,e^4\,f^3+4\,b^{10}\,c^7\,e\,f^6-5\,b^{10}\,c^6\,d\,e^2\,f^5-2\,b^{10}\,c^5\,d^2\,e^3\,f^4+3\,b^{10}\,c^4\,d^3\,e^4\,f^3\right)}{d^{17}\,e^8}-\frac{2\,\sqrt{d}\,\left(\frac{65536\,\left(4\,a^{3/2}\,b^9\,c^{13/2}\,f^8-4\,a^{7/2}\,b^7\,c^{9/2}\,d^2\,f^8-4\,a^{9/2}\,b^6\,c^{7/2}\,d^3\,f^8+4\,a^{13/2}\,b^4\,c^{3/2}\,d^5\,f^8-4\,\sqrt{a}\,b^{10}\,c^{13/2}\,e\,f^7-23\,a^{3/2}\,b^9\,c^{11/2}\,d\,e\,f^7+23\,\sqrt{a}\,b^{10}\,c^{11/2}\,d\,e^2\,f^6+32\,a^{5/2}\,b^8\,c^{9/2}\,d^2\,e\,f^7-10\,a^{7/2}\,b^7\,c^{7/2}\,d^3\,e\,f^7+32\,a^{9/2}\,b^6\,c^{5/2}\,d^4\,e\,f^7-23\,a^{11/2}\,b^5\,c^{3/2}\,d^5\,e\,f^7-4\,a^{13/2}\,b^4\,\sqrt{c}\,d^6\,e\,f^7+12\,\sqrt{a}\,b^{10}\,c^{7/2}\,d^3\,e^4\,f^4-12\,a^{3/2}\,b^9\,c^{5/2}\,d^4\,e^4\,f^4-12\,a^{5/2}\,b^8\,c^{3/2}\,d^5\,e^4\,f^4+12\,a^{7/2}\,b^7\,\sqrt{c}\,d^6\,e^4\,f^4-31\,\sqrt{a}\,b^{10}\,c^{9/2}\,d^2\,e^3\,f^5+28\,a^{3/2}\,b^9\,c^{7/2}\,d^3\,e^3\,f^5+6\,a^{5/2}\,b^8\,c^{5/2}\,d^4\,e^3\,f^5+28\,a^{7/2}\,b^7\,c^{3/2}\,d^5\,e^3\,f^5-31\,a^{9/2}\,b^6\,\sqrt{c}\,d^6\,e^3\,f^5+3\,a^{3/2}\,b^9\,c^{9/2}\,d^2\,e^2\,f^6-26\,a^{5/2}\,b^8\,c^{7/2}\,d^3\,e^2\,f^6-26\,a^{7/2}\,b^7\,c^{5/2}\,d^4\,e^2\,f^6+3\,a^{9/2}\,b^6\,c^{3/2}\,d^5\,e^2\,f^6+23\,a^{11/2}\,b^5\,\sqrt{c}\,d^6\,e^2\,f^6\right)}{d^{17}\,e^8}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(8\,a^7\,b^3\,c\,d^6\,f^8-8\,a^7\,b^3\,d^7\,e\,f^7-30\,a^6\,b^4\,c^2\,d^5\,f^8+12\,a^6\,b^4\,c\,d^6\,e\,f^7+18\,a^6\,b^4\,d^7\,e^2\,f^6+72\,a^5\,b^5\,c^3\,d^4\,f^8-36\,a^5\,b^5\,c^2\,d^5\,e\,f^7-23\,a^5\,b^5\,c\,d^6\,e^2\,f^6-13\,a^5\,b^5\,d^7\,e^3\,f^5-100\,a^4\,b^6\,c^4\,d^3\,f^8+32\,a^4\,b^6\,c^3\,d^4\,e\,f^7+74\,a^4\,b^6\,c^2\,d^5\,e^2\,f^6-9\,a^4\,b^6\,c\,d^6\,e^3\,f^5+3\,a^4\,b^6\,d^7\,e^4\,f^4+72\,a^3\,b^7\,c^5\,d^2\,f^8+32\,a^3\,b^7\,c^4\,d^3\,e\,f^7-138\,a^3\,b^7\,c^3\,d^4\,e^2\,f^6+22\,a^3\,b^7\,c^2\,d^5\,e^3\,f^5+12\,a^3\,b^7\,c\,d^6\,e^4\,f^4-30\,a^2\,b^8\,c^6\,d\,f^8-36\,a^2\,b^8\,c^5\,d^2\,e\,f^7+74\,a^2\,b^8\,c^4\,d^3\,e^2\,f^6+22\,a^2\,b^8\,c^3\,d^4\,e^3\,f^5-30\,a^2\,b^8\,c^2\,d^5\,e^4\,f^4+8\,a\,b^9\,c^7\,f^8+12\,a\,b^9\,c^6\,d\,e\,f^7-23\,a\,b^9\,c^5\,d^2\,e^2\,f^6-9\,a\,b^9\,c^4\,d^3\,e^3\,f^5+12\,a\,b^9\,c^3\,d^4\,e^4\,f^4-8\,b^{10}\,c^7\,e\,f^7+18\,b^{10}\,c^6\,d\,e^2\,f^6-13\,b^{10}\,c^5\,d^2\,e^3\,f^5+3\,b^{10}\,c^4\,d^3\,e^4\,f^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(96\,a^{7/2}\,b^6\,c^{9/2}\,d^3\,f^7-72\,a^{5/2}\,b^7\,c^{11/2}\,d^2\,f^7-40\,a^{9/2}\,b^5\,c^{7/2}\,d^4\,f^7+16\,a^{3/2}\,b^8\,c^{13/2}\,d\,f^7-16\,\sqrt{a}\,b^9\,c^{13/2}\,d\,e\,f^6+52\,a^{3/2}\,b^8\,c^{11/2}\,d^2\,e\,f^6+36\,a^{5/2}\,b^7\,c^{9/2}\,d^3\,e\,f^6-164\,a^{7/2}\,b^6\,c^{7/2}\,d^4\,e\,f^6+92\,a^{9/2}\,b^5\,c^{5/2}\,d^5\,e\,f^6-12\,\sqrt{a}\,b^9\,c^{7/2}\,d^4\,e^4\,f^3+12\,a^{3/2}\,b^8\,c^{5/2}\,d^5\,e^4\,f^3+12\,a^{5/2}\,b^7\,c^{3/2}\,d^6\,e^4\,f^3-12\,a^{7/2}\,b^6\,\sqrt{c}\,d^7\,e^4\,f^3+8\,\sqrt{a}\,b^9\,c^{9/2}\,d^3\,e^3\,f^4+60\,a^{3/2}\,b^8\,c^{7/2}\,d^4\,e^3\,f^4-132\,a^{5/2}\,b^7\,c^{5/2}\,d^5\,e^3\,f^4+52\,a^{7/2}\,b^6\,c^{3/2}\,d^6\,e^3\,f^4+12\,a^{9/2}\,b^5\,\sqrt{c}\,d^7\,e^3\,f^4+20\,\sqrt{a}\,b^9\,c^{11/2}\,d^2\,e^2\,f^5-140\,a^{3/2}\,b^8\,c^{9/2}\,d^3\,e^2\,f^5+156\,a^{5/2}\,b^7\,c^{7/2}\,d^4\,e^2\,f^5+28\,a^{7/2}\,b^6\,c^{5/2}\,d^5\,e^2\,f^5-64\,a^{9/2}\,b^5\,c^{3/2}\,d^6\,e^2\,f^5\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^7\,b^2\,c\,d^7\,f^6-32\,a^7\,b^2\,d^8\,e\,f^5-120\,a^6\,b^3\,c^2\,d^6\,f^6+48\,a^6\,b^3\,c\,d^7\,e\,f^5+72\,a^6\,b^3\,d^8\,e^2\,f^4+228\,a^5\,b^4\,c^3\,d^5\,f^6-20\,a^5\,b^4\,c^2\,d^6\,e\,f^5-160\,a^5\,b^4\,c\,d^7\,e^2\,f^4-48\,a^5\,b^4\,d^8\,e^3\,f^3-240\,a^4\,b^5\,c^4\,d^4\,f^6-132\,a^4\,b^5\,c^3\,d^5\,e\,f^5+333\,a^4\,b^5\,c^2\,d^6\,e^2\,f^4+30\,a^4\,b^5\,c\,d^7\,e^3\,f^3+9\,a^4\,b^5\,d^8\,e^4\,f^2+136\,a^3\,b^6\,c^5\,d^3\,f^6+288\,a^3\,b^6\,c^4\,d^4\,e\,f^5-428\,a^3\,b^6\,c^3\,d^5\,e^2\,f^4-32\,a^3\,b^6\,c^2\,d^6\,e^3\,f^3+36\,a^3\,b^6\,c\,d^7\,e^4\,f^2-48\,a^2\,b^7\,c^6\,d^2\,f^6-208\,a^2\,b^7\,c^5\,d^3\,e\,f^5+238\,a^2\,b^7\,c^4\,d^4\,e^2\,f^4+108\,a^2\,b^7\,c^3\,d^5\,e^3\,f^3-90\,a^2\,b^7\,c^2\,d^6\,e^4\,f^2+4\,a\,b^8\,c^7\,d\,f^6+116\,a\,b^8\,c^6\,d^2\,e\,f^5-156\,a\,b^8\,c^5\,d^3\,e^2\,f^4+36\,a\,b^8\,c^3\,d^5\,e^4\,f^2+8\,b^9\,c^8\,f^6-60\,b^9\,c^7\,d\,e\,f^5+101\,b^9\,c^6\,d^2\,e^2\,f^4-58\,b^9\,c^5\,d^3\,e^3\,f^3+9\,b^9\,c^4\,d^4\,e^4\,f^2\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(24\,a^{3/2}\,b^7\,c^{13/2}\,d^2\,f^5+112\,a^{5/2}\,b^6\,c^{11/2}\,d^3\,f^5-296\,a^{7/2}\,b^5\,c^{9/2}\,d^4\,f^5+240\,a^{9/2}\,b^4\,c^{7/2}\,d^5\,f^5-64\,a^{11/2}\,b^3\,c^{5/2}\,d^6\,f^5-16\,\sqrt{a}\,b^8\,c^{15/2}\,d\,f^5+12\,\sqrt{a}\,b^8\,c^{7/2}\,d^5\,e^4\,f-12\,a^{3/2}\,b^7\,c^{5/2}\,d^6\,e^4\,f-12\,a^{5/2}\,b^6\,c^{3/2}\,d^7\,e^4\,f+12\,a^{7/2}\,b^5\,\sqrt{c}\,d^8\,e^4\,f+84\,\sqrt{a}\,b^8\,c^{13/2}\,d^2\,e\,f^4-316\,a^{3/2}\,b^7\,c^{11/2}\,d^3\,e\,f^4+220\,a^{5/2}\,b^6\,c^{9/2}\,d^4\,e\,f^4+300\,a^{7/2}\,b^5\,c^{7/2}\,d^5\,e\,f^4-416\,a^{9/2}\,b^4\,c^{5/2}\,d^6\,e\,f^4+128\,a^{11/2}\,b^3\,c^{3/2}\,d^7\,e\,f^4+28\,\sqrt{a}\,b^8\,c^{9/2}\,d^4\,e^3\,f^2-244\,a^{3/2}\,b^7\,c^{7/2}\,d^5\,e^3\,f^2+468\,a^{5/2}\,b^6\,c^{5/2}\,d^6\,e^3\,f^2-316\,a^{7/2}\,b^5\,c^{3/2}\,d^7\,e^3\,f^2+64\,a^{9/2}\,b^4\,\sqrt{c}\,d^8\,e^3\,f^2-108\,\sqrt{a}\,b^8\,c^{11/2}\,d^3\,e^2\,f^3+548\,a^{3/2}\,b^7\,c^{9/2}\,d^4\,e^2\,f^3-788\,a^{5/2}\,b^6\,c^{7/2}\,d^5\,e^2\,f^3+300\,a^{7/2}\,b^5\,c^{5/2}\,d^6\,e^2\,f^3+112\,a^{9/2}\,b^4\,c^{3/2}\,d^7\,e^2\,f^3-64\,a^{11/2}\,b^3\,\sqrt{c}\,d^8\,e^2\,f^3\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}-\frac{65536\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(32\,a^6\,b^2\,c^2\,d^7\,f^4-64\,a^6\,b^2\,c\,d^8\,e\,f^3+32\,a^6\,b^2\,d^9\,e^2\,f^2-128\,a^5\,b^3\,c^3\,d^6\,f^4+224\,a^5\,b^3\,c^2\,d^7\,e\,f^3-64\,a^5\,b^3\,c\,d^8\,e^2\,f^2-32\,a^5\,b^3\,d^9\,e^3\,f+258\,a^4\,b^4\,c^4\,d^5\,f^4-456\,a^4\,b^4\,c^3\,d^6\,e\,f^3+144\,a^4\,b^4\,c^2\,d^7\,e^2\,f^2+48\,a^4\,b^4\,c\,d^8\,e^3\,f+6\,a^4\,b^4\,d^9\,e^4-312\,a^3\,b^5\,c^5\,d^4\,f^4+576\,a^3\,b^5\,c^4\,d^5\,e\,f^3-192\,a^3\,b^5\,c^3\,d^6\,e^2\,f^2-96\,a^3\,b^5\,c^2\,d^7\,e^3\,f+24\,a^3\,b^5\,c\,d^8\,e^4+236\,a^2\,b^6\,c^6\,d^3\,f^4-464\,a^2\,b^6\,c^5\,d^4\,e\,f^3+160\,a^2\,b^6\,c^4\,d^5\,e^2\,f^2+128\,a^2\,b^6\,c^3\,d^6\,e^3\,f-60\,a^2\,b^6\,c^2\,d^7\,e^4-120\,a\,b^7\,c^7\,d^2\,f^4+288\,a\,b^7\,c^6\,d^3\,e\,f^3-192\,a\,b^7\,c^5\,d^4\,e^2\,f^2+24\,a\,b^7\,c^3\,d^6\,e^4+34\,b^8\,c^8\,d\,f^4-104\,b^8\,c^7\,d^2\,e\,f^3+112\,b^8\,c^6\,d^3\,e^2\,f^2-48\,b^8\,c^5\,d^4\,e^3\,f+6\,b^8\,c^4\,d^5\,e^4\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b}\,f}+\frac{131072\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(48\,\sqrt{a}\,b^7\,c^{9/2}\,d^5\,e^3-208\,a^{3/2}\,b^6\,c^{7/2}\,d^6\,e^3+336\,a^{5/2}\,b^5\,c^{5/2}\,d^7\,e^3-240\,a^{7/2}\,b^4\,c^{3/2}\,d^8\,e^3+64\,a^{9/2}\,b^3\,\sqrt{c}\,d^9\,e^3-48\,\sqrt{a}\,b^7\,c^{15/2}\,d^2\,f^3+208\,a^{3/2}\,b^6\,c^{13/2}\,d^3\,f^3-336\,a^{5/2}\,b^5\,c^{11/2}\,d^4\,f^3+240\,a^{7/2}\,b^4\,c^{9/2}\,d^5\,f^3-64\,a^{9/2}\,b^3\,c^{7/2}\,d^6\,f^3-144\,\sqrt{a}\,b^7\,c^{11/2}\,d^4\,e^2\,f+624\,a^{3/2}\,b^6\,c^{9/2}\,d^5\,e^2\,f-1008\,a^{5/2}\,b^5\,c^{7/2}\,d^6\,e^2\,f+720\,a^{7/2}\,b^4\,c^{5/2}\,d^7\,e^2\,f-192\,a^{9/2}\,b^3\,c^{3/2}\,d^8\,e^2\,f+144\,\sqrt{a}\,b^7\,c^{13/2}\,d^3\,e\,f^2-624\,a^{3/2}\,b^6\,c^{11/2}\,d^4\,e\,f^2+1008\,a^{5/2}\,b^5\,c^{9/2}\,d^5\,e\,f^2-720\,a^{7/2}\,b^4\,c^{7/2}\,d^6\,e\,f^2+192\,a^{9/2}\,b^3\,c^{5/2}\,d^7\,e\,f^2\right)}{d^{17}\,e^8\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}}\right)\,4{}\mathrm{i}}{\sqrt{b}\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(48\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3+48\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3-128\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^3+16\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^3+16\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^3+24\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^2-72\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f-32\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f-200\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f+16\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f+16\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^2+280\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^2-32\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6}+\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(16\,a^4\,b^2\,c^2\,d^3\,f^4-16\,a^4\,b^2\,c\,d^4\,e\,f^3+88\,a^3\,b^3\,c^3\,d^2\,f^4-164\,a^3\,b^3\,c^2\,d^3\,e\,f^3+68\,a^3\,b^3\,c\,d^4\,e^2\,f^2+12\,a^3\,b^3\,d^5\,e^3\,f+16\,a^2\,b^4\,c^4\,d\,f^4-172\,a^2\,b^4\,c^3\,d^2\,e\,f^3+219\,a^2\,b^4\,c^2\,d^3\,e^2\,f^2-66\,a^2\,b^4\,c\,d^4\,e^3\,f-9\,a^2\,b^4\,d^5\,e^4+24\,a\,b^5\,c^5\,f^4-84\,a\,b^5\,c^4\,d\,e\,f^3+174\,a\,b^5\,c^3\,d^2\,e^2\,f^2-120\,a\,b^5\,c^2\,d^3\,e^3\,f+18\,a\,b^5\,c\,d^4\,e^4+4\,b^6\,c^5\,e\,f^3-29\,b^6\,c^4\,d\,e^2\,f^2+30\,b^6\,c^3\,d^2\,e^3\,f-9\,b^6\,c^2\,d^3\,e^4\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(16\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^5-16\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^5+40\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^4-30\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^4+8\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^4-16\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^4+30\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^5\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^2+20\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^3+18\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^3-8\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{11}\,e^6}+\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^2\,f^6+4\,a^4\,b^3\,c\,d^3\,e\,f^5-16\,a^4\,b^3\,d^4\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d\,f^6-76\,a^3\,b^4\,c^2\,d^2\,e\,f^5+29\,a^3\,b^4\,c\,d^3\,e^2\,f^4+24\,a^3\,b^4\,d^4\,e^3\,f^3+12\,a^2\,b^5\,c^4\,f^6-76\,a^2\,b^5\,c^3\,d\,e\,f^5+118\,a^2\,b^5\,c^2\,d^2\,e^2\,f^4-48\,a^2\,b^5\,c\,d^3\,e^3\,f^3-9\,a^2\,b^5\,d^4\,e^4\,f^2+4\,a\,b^6\,c^4\,e\,f^5+29\,a\,b^6\,c^3\,d\,e^2\,f^4-48\,a\,b^6\,c^2\,d^2\,e^3\,f^3+18\,a\,b^6\,c\,d^3\,e^4\,f^2-16\,b^7\,c^4\,e^2\,f^4+24\,b^7\,c^3\,d\,e^3\,f^3-9\,b^7\,c^2\,d^2\,e^4\,f^2\right)}{d^{11}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^4\,f^6-32\,a^5\,b\,d^5\,e\,f^5+12\,a^4\,b^2\,c^2\,d^3\,f^6-76\,a^4\,b^2\,c\,d^4\,e\,f^5+64\,a^4\,b^2\,d^5\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^2\,f^6+36\,a^3\,b^3\,c^2\,d^3\,e\,f^5+47\,a^3\,b^3\,c\,d^4\,e^2\,f^4-42\,a^3\,b^3\,d^5\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d\,f^6+36\,a^2\,b^4\,c^3\,d^2\,e\,f^5-78\,a^2\,b^4\,c^2\,d^3\,e^2\,f^4+18\,a^2\,b^4\,c\,d^4\,e^3\,f^3+9\,a^2\,b^4\,d^5\,e^4\,f^2+32\,a\,b^5\,c^5\,f^6-76\,a\,b^5\,c^4\,d\,e\,f^5+47\,a\,b^5\,c^3\,d^2\,e^2\,f^4+18\,a\,b^5\,c^2\,d^3\,e^3\,f^3-18\,a\,b^5\,c\,d^4\,e^4\,f^2-32\,b^6\,c^5\,e\,f^5+64\,b^6\,c^4\,d\,e^2\,f^4-42\,b^6\,c^3\,d^2\,e^3\,f^3+9\,b^6\,c^2\,d^3\,e^4\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{7/2}\,b^3\,c^{5/2}\,d^2\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^6+12\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^5-59\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^4-20\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^3-13\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^4\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^5\,b\,c\,d^4\,f^5-16\,a^5\,b\,d^5\,e\,f^4+60\,a^4\,b^2\,c^2\,d^3\,f^5-92\,a^4\,b^2\,c\,d^4\,e\,f^4+32\,a^4\,b^2\,d^5\,e^2\,f^3-116\,a^3\,b^3\,c^3\,d^2\,f^5+68\,a^3\,b^3\,c^2\,d^3\,e\,f^4+63\,a^3\,b^3\,c\,d^4\,e^2\,f^3-15\,a^3\,b^3\,d^5\,e^3\,f^2+20\,a^2\,b^4\,c^4\,d\,f^5+120\,a^2\,b^4\,c^3\,d^2\,e\,f^4-155\,a^2\,b^4\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^4\,c\,d^4\,e^3\,f^2+20\,a\,b^5\,c^5\,f^5-60\,a\,b^5\,c^4\,d\,e\,f^4+25\,a\,b^5\,c^3\,d^2\,e^2\,f^3+15\,a\,b^5\,c^2\,d^3\,e^3\,f^2-20\,b^6\,c^5\,e\,f^4+35\,b^6\,c^4\,d\,e^2\,f^3-15\,b^6\,c^3\,d^2\,e^3\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(176\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^5+40\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^5-120\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^5-96\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^5+120\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^4+96\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^4+40\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^4+152\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^4+90\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f^2-210\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^3+260\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^3+142\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^3-192\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^4-52\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^4-28\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^4-36\,\sqrt{a}\,b^5\,c^{11/2}\,f^4-32\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^4+114\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^3+32\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^3+42\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f+60\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f+42\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f+44\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^3+130\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^3+112\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^3-116\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^2-120\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^2-108\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^2-88\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-64\,a^5\,c\,d^5\,f^4+64\,a^5\,d^6\,e\,f^3+128\,a^4\,b\,c^2\,d^4\,f^4-32\,a^4\,b\,c\,d^5\,e\,f^3-96\,a^4\,b\,d^6\,e^2\,f^2-272\,a^3\,b^2\,c^3\,d^3\,f^4+220\,a^3\,b^2\,c^2\,d^4\,e\,f^3+12\,a^3\,b^2\,c\,d^5\,e^2\,f^2+36\,a^3\,b^2\,d^6\,e^3\,f+144\,a^2\,b^3\,c^4\,d^2\,f^4+84\,a^2\,b^3\,c^3\,d^3\,e\,f^3-261\,a^2\,b^3\,c^2\,d^4\,e^2\,f^2+54\,a^2\,b^3\,c\,d^5\,e^3\,f-9\,a^2\,b^3\,d^6\,e^4-48\,a\,b^4\,c^5\,d\,f^4-36\,a\,b^4\,c^4\,d^2\,e\,f^3+54\,a\,b^4\,c^3\,d^3\,e^2\,f^2+18\,a\,b^4\,c\,d^5\,e^4-32\,b^5\,c^6\,f^4+132\,b^5\,c^5\,d\,e\,f^3-141\,b^5\,c^4\,d^2\,e^2\,f^2+54\,b^5\,c^3\,d^3\,e^3\,f-9\,b^5\,c^2\,d^4\,e^4\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^4\,c^{5/2}\,d^4\,e^3-240\,a^{3/2}\,b^3\,c^{3/2}\,d^5\,e^3+72\,a^{5/2}\,b^2\,\sqrt{c}\,d^6\,e^3+144\,a^{3/2}\,b^3\,c^{9/2}\,d^2\,f^3+168\,a^{5/2}\,b^2\,c^{7/2}\,d^3\,f^3-120\,\sqrt{a}\,b^4\,c^{11/2}\,d\,f^3-96\,a^{7/2}\,b\,c^{5/2}\,d^4\,f^3-96\,a^{7/2}\,b\,\sqrt{c}\,d^6\,e^2\,f+192\,a^{7/2}\,b\,c^{3/2}\,d^5\,e\,f^2-288\,\sqrt{a}\,b^4\,c^{7/2}\,d^3\,e^2\,f+672\,a^{3/2}\,b^3\,c^{5/2}\,d^4\,e^2\,f+336\,\sqrt{a}\,b^4\,c^{9/2}\,d^2\,e\,f^2-576\,a^{3/2}\,b^3\,c^{7/2}\,d^3\,e\,f^2-240\,a^{5/2}\,b^2\,c^{5/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-16\,a^4\,b\,c^2\,d^4\,f^3+32\,a^4\,b\,c\,d^5\,e\,f^2-16\,a^4\,b\,d^6\,e^2\,f+4\,a^3\,b^2\,c^3\,d^3\,f^3+24\,a^3\,b^2\,c^2\,d^4\,e\,f^2-40\,a^3\,b^2\,c\,d^5\,e^2\,f+12\,a^3\,b^2\,d^6\,e^3+164\,a^2\,b^3\,c^4\,d^2\,f^3-424\,a^2\,b^3\,c^3\,d^3\,e\,f^2+320\,a^2\,b^3\,c^2\,d^4\,e^2\,f-60\,a^2\,b^3\,c\,d^5\,e^3-36\,a\,b^4\,c^5\,d\,f^3+24\,a\,b^4\,c^4\,d^2\,e\,f^2+72\,a\,b^4\,c^3\,d^3\,e^2\,f-60\,a\,b^4\,c^2\,d^4\,e^3-20\,b^5\,c^6\,f^3+56\,b^5\,c^5\,d\,e\,f^2-48\,b^5\,c^4\,d^2\,e^2\,f+12\,b^5\,c^3\,d^3\,e^3\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,1{}\mathrm{i}}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(48\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3+48\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3-128\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^3+16\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^3+16\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^3+24\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^2-72\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f-32\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f-200\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f+16\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f+16\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^2+280\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^2-32\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(16\,a^4\,b^2\,c^2\,d^3\,f^4-16\,a^4\,b^2\,c\,d^4\,e\,f^3+88\,a^3\,b^3\,c^3\,d^2\,f^4-164\,a^3\,b^3\,c^2\,d^3\,e\,f^3+68\,a^3\,b^3\,c\,d^4\,e^2\,f^2+12\,a^3\,b^3\,d^5\,e^3\,f+16\,a^2\,b^4\,c^4\,d\,f^4-172\,a^2\,b^4\,c^3\,d^2\,e\,f^3+219\,a^2\,b^4\,c^2\,d^3\,e^2\,f^2-66\,a^2\,b^4\,c\,d^4\,e^3\,f-9\,a^2\,b^4\,d^5\,e^4+24\,a\,b^5\,c^5\,f^4-84\,a\,b^5\,c^4\,d\,e\,f^3+174\,a\,b^5\,c^3\,d^2\,e^2\,f^2-120\,a\,b^5\,c^2\,d^3\,e^3\,f+18\,a\,b^5\,c\,d^4\,e^4+4\,b^6\,c^5\,e\,f^3-29\,b^6\,c^4\,d\,e^2\,f^2+30\,b^6\,c^3\,d^2\,e^3\,f-9\,b^6\,c^2\,d^3\,e^4\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^2\,f^6+4\,a^4\,b^3\,c\,d^3\,e\,f^5-16\,a^4\,b^3\,d^4\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d\,f^6-76\,a^3\,b^4\,c^2\,d^2\,e\,f^5+29\,a^3\,b^4\,c\,d^3\,e^2\,f^4+24\,a^3\,b^4\,d^4\,e^3\,f^3+12\,a^2\,b^5\,c^4\,f^6-76\,a^2\,b^5\,c^3\,d\,e\,f^5+118\,a^2\,b^5\,c^2\,d^2\,e^2\,f^4-48\,a^2\,b^5\,c\,d^3\,e^3\,f^3-9\,a^2\,b^5\,d^4\,e^4\,f^2+4\,a\,b^6\,c^4\,e\,f^5+29\,a\,b^6\,c^3\,d\,e^2\,f^4-48\,a\,b^6\,c^2\,d^2\,e^3\,f^3+18\,a\,b^6\,c\,d^3\,e^4\,f^2-16\,b^7\,c^4\,e^2\,f^4+24\,b^7\,c^3\,d\,e^3\,f^3-9\,b^7\,c^2\,d^2\,e^4\,f^2\right)}{d^{11}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^4\,f^6-32\,a^5\,b\,d^5\,e\,f^5+12\,a^4\,b^2\,c^2\,d^3\,f^6-76\,a^4\,b^2\,c\,d^4\,e\,f^5+64\,a^4\,b^2\,d^5\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^2\,f^6+36\,a^3\,b^3\,c^2\,d^3\,e\,f^5+47\,a^3\,b^3\,c\,d^4\,e^2\,f^4-42\,a^3\,b^3\,d^5\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d\,f^6+36\,a^2\,b^4\,c^3\,d^2\,e\,f^5-78\,a^2\,b^4\,c^2\,d^3\,e^2\,f^4+18\,a^2\,b^4\,c\,d^4\,e^3\,f^3+9\,a^2\,b^4\,d^5\,e^4\,f^2+32\,a\,b^5\,c^5\,f^6-76\,a\,b^5\,c^4\,d\,e\,f^5+47\,a\,b^5\,c^3\,d^2\,e^2\,f^4+18\,a\,b^5\,c^2\,d^3\,e^3\,f^3-18\,a\,b^5\,c\,d^4\,e^4\,f^2-32\,b^6\,c^5\,e\,f^5+64\,b^6\,c^4\,d\,e^2\,f^4-42\,b^6\,c^3\,d^2\,e^3\,f^3+9\,b^6\,c^2\,d^3\,e^4\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{7/2}\,b^3\,c^{5/2}\,d^2\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^6+12\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^5-59\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^4-20\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^3-13\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^4\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,\left(16\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^5-16\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^5+40\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^4-30\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^4+8\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^4-16\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^4+30\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^5\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^2+20\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^3+18\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^3-8\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{11}\,e^6}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^5\,b\,c\,d^4\,f^5-16\,a^5\,b\,d^5\,e\,f^4+60\,a^4\,b^2\,c^2\,d^3\,f^5-92\,a^4\,b^2\,c\,d^4\,e\,f^4+32\,a^4\,b^2\,d^5\,e^2\,f^3-116\,a^3\,b^3\,c^3\,d^2\,f^5+68\,a^3\,b^3\,c^2\,d^3\,e\,f^4+63\,a^3\,b^3\,c\,d^4\,e^2\,f^3-15\,a^3\,b^3\,d^5\,e^3\,f^2+20\,a^2\,b^4\,c^4\,d\,f^5+120\,a^2\,b^4\,c^3\,d^2\,e\,f^4-155\,a^2\,b^4\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^4\,c\,d^4\,e^3\,f^2+20\,a\,b^5\,c^5\,f^5-60\,a\,b^5\,c^4\,d\,e\,f^4+25\,a\,b^5\,c^3\,d^2\,e^2\,f^3+15\,a\,b^5\,c^2\,d^3\,e^3\,f^2-20\,b^6\,c^5\,e\,f^4+35\,b^6\,c^4\,d\,e^2\,f^3-15\,b^6\,c^3\,d^2\,e^3\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(176\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^5+40\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^5-120\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^5-96\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^5+120\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^4+96\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^4+40\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^4+152\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^4+90\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f^2-210\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^3+260\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^3+142\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^3-192\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^4-52\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^4-28\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^4-36\,\sqrt{a}\,b^5\,c^{11/2}\,f^4-32\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^4+114\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^3+32\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^3+42\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f+60\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f+42\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f+44\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^3+130\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^3+112\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^3-116\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^2-120\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^2-108\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^2-88\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-64\,a^5\,c\,d^5\,f^4+64\,a^5\,d^6\,e\,f^3+128\,a^4\,b\,c^2\,d^4\,f^4-32\,a^4\,b\,c\,d^5\,e\,f^3-96\,a^4\,b\,d^6\,e^2\,f^2-272\,a^3\,b^2\,c^3\,d^3\,f^4+220\,a^3\,b^2\,c^2\,d^4\,e\,f^3+12\,a^3\,b^2\,c\,d^5\,e^2\,f^2+36\,a^3\,b^2\,d^6\,e^3\,f+144\,a^2\,b^3\,c^4\,d^2\,f^4+84\,a^2\,b^3\,c^3\,d^3\,e\,f^3-261\,a^2\,b^3\,c^2\,d^4\,e^2\,f^2+54\,a^2\,b^3\,c\,d^5\,e^3\,f-9\,a^2\,b^3\,d^6\,e^4-48\,a\,b^4\,c^5\,d\,f^4-36\,a\,b^4\,c^4\,d^2\,e\,f^3+54\,a\,b^4\,c^3\,d^3\,e^2\,f^2+18\,a\,b^4\,c\,d^5\,e^4-32\,b^5\,c^6\,f^4+132\,b^5\,c^5\,d\,e\,f^3-141\,b^5\,c^4\,d^2\,e^2\,f^2+54\,b^5\,c^3\,d^3\,e^3\,f-9\,b^5\,c^2\,d^4\,e^4\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^4\,c^{5/2}\,d^4\,e^3-240\,a^{3/2}\,b^3\,c^{3/2}\,d^5\,e^3+72\,a^{5/2}\,b^2\,\sqrt{c}\,d^6\,e^3+144\,a^{3/2}\,b^3\,c^{9/2}\,d^2\,f^3+168\,a^{5/2}\,b^2\,c^{7/2}\,d^3\,f^3-120\,\sqrt{a}\,b^4\,c^{11/2}\,d\,f^3-96\,a^{7/2}\,b\,c^{5/2}\,d^4\,f^3-96\,a^{7/2}\,b\,\sqrt{c}\,d^6\,e^2\,f+192\,a^{7/2}\,b\,c^{3/2}\,d^5\,e\,f^2-288\,\sqrt{a}\,b^4\,c^{7/2}\,d^3\,e^2\,f+672\,a^{3/2}\,b^3\,c^{5/2}\,d^4\,e^2\,f+336\,\sqrt{a}\,b^4\,c^{9/2}\,d^2\,e\,f^2-576\,a^{3/2}\,b^3\,c^{7/2}\,d^3\,e\,f^2-240\,a^{5/2}\,b^2\,c^{5/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-16\,a^4\,b\,c^2\,d^4\,f^3+32\,a^4\,b\,c\,d^5\,e\,f^2-16\,a^4\,b\,d^6\,e^2\,f+4\,a^3\,b^2\,c^3\,d^3\,f^3+24\,a^3\,b^2\,c^2\,d^4\,e\,f^2-40\,a^3\,b^2\,c\,d^5\,e^2\,f+12\,a^3\,b^2\,d^6\,e^3+164\,a^2\,b^3\,c^4\,d^2\,f^3-424\,a^2\,b^3\,c^3\,d^3\,e\,f^2+320\,a^2\,b^3\,c^2\,d^4\,e^2\,f-60\,a^2\,b^3\,c\,d^5\,e^3-36\,a\,b^4\,c^5\,d\,f^3+24\,a\,b^4\,c^4\,d^2\,e\,f^2+72\,a\,b^4\,c^3\,d^3\,e^2\,f-60\,a\,b^4\,c^2\,d^4\,e^3-20\,b^5\,c^6\,f^3+56\,b^5\,c^5\,d\,e\,f^2-48\,b^5\,c^4\,d^2\,e^2\,f+12\,b^5\,c^3\,d^3\,e^3\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,1{}\mathrm{i}}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}}{\frac{2048\,\left(16\,a^3\,b^2\,c^3\,d^3\,f^2-32\,a^3\,b^2\,c^2\,d^4\,e\,f+16\,a^3\,b^2\,c\,d^5\,e^2-52\,a^2\,b^3\,c^4\,d^2\,f^2+104\,a^2\,b^3\,c^3\,d^3\,e\,f-52\,a^2\,b^3\,c^2\,d^4\,e^2+24\,a\,b^4\,c^5\,d\,f^2-48\,a\,b^4\,c^4\,d^2\,e\,f+24\,a\,b^4\,c^3\,d^3\,e^2+12\,b^5\,c^6\,f^2-24\,b^5\,c^5\,d\,e\,f+12\,b^5\,c^4\,d^2\,e^2\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(48\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3+48\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3-128\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^3+16\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^3+16\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^3+24\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^2-72\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f-32\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f-200\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f+16\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f+16\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^2+280\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^2-32\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6}+\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(16\,a^4\,b^2\,c^2\,d^3\,f^4-16\,a^4\,b^2\,c\,d^4\,e\,f^3+88\,a^3\,b^3\,c^3\,d^2\,f^4-164\,a^3\,b^3\,c^2\,d^3\,e\,f^3+68\,a^3\,b^3\,c\,d^4\,e^2\,f^2+12\,a^3\,b^3\,d^5\,e^3\,f+16\,a^2\,b^4\,c^4\,d\,f^4-172\,a^2\,b^4\,c^3\,d^2\,e\,f^3+219\,a^2\,b^4\,c^2\,d^3\,e^2\,f^2-66\,a^2\,b^4\,c\,d^4\,e^3\,f-9\,a^2\,b^4\,d^5\,e^4+24\,a\,b^5\,c^5\,f^4-84\,a\,b^5\,c^4\,d\,e\,f^3+174\,a\,b^5\,c^3\,d^2\,e^2\,f^2-120\,a\,b^5\,c^2\,d^3\,e^3\,f+18\,a\,b^5\,c\,d^4\,e^4+4\,b^6\,c^5\,e\,f^3-29\,b^6\,c^4\,d\,e^2\,f^2+30\,b^6\,c^3\,d^2\,e^3\,f-9\,b^6\,c^2\,d^3\,e^4\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(16\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^5-16\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^5+40\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^4-30\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^4+8\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^4-16\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^4+30\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^5\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^2+20\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^3+18\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^3-8\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{11}\,e^6}+\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^2\,f^6+4\,a^4\,b^3\,c\,d^3\,e\,f^5-16\,a^4\,b^3\,d^4\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d\,f^6-76\,a^3\,b^4\,c^2\,d^2\,e\,f^5+29\,a^3\,b^4\,c\,d^3\,e^2\,f^4+24\,a^3\,b^4\,d^4\,e^3\,f^3+12\,a^2\,b^5\,c^4\,f^6-76\,a^2\,b^5\,c^3\,d\,e\,f^5+118\,a^2\,b^5\,c^2\,d^2\,e^2\,f^4-48\,a^2\,b^5\,c\,d^3\,e^3\,f^3-9\,a^2\,b^5\,d^4\,e^4\,f^2+4\,a\,b^6\,c^4\,e\,f^5+29\,a\,b^6\,c^3\,d\,e^2\,f^4-48\,a\,b^6\,c^2\,d^2\,e^3\,f^3+18\,a\,b^6\,c\,d^3\,e^4\,f^2-16\,b^7\,c^4\,e^2\,f^4+24\,b^7\,c^3\,d\,e^3\,f^3-9\,b^7\,c^2\,d^2\,e^4\,f^2\right)}{d^{11}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^4\,f^6-32\,a^5\,b\,d^5\,e\,f^5+12\,a^4\,b^2\,c^2\,d^3\,f^6-76\,a^4\,b^2\,c\,d^4\,e\,f^5+64\,a^4\,b^2\,d^5\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^2\,f^6+36\,a^3\,b^3\,c^2\,d^3\,e\,f^5+47\,a^3\,b^3\,c\,d^4\,e^2\,f^4-42\,a^3\,b^3\,d^5\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d\,f^6+36\,a^2\,b^4\,c^3\,d^2\,e\,f^5-78\,a^2\,b^4\,c^2\,d^3\,e^2\,f^4+18\,a^2\,b^4\,c\,d^4\,e^3\,f^3+9\,a^2\,b^4\,d^5\,e^4\,f^2+32\,a\,b^5\,c^5\,f^6-76\,a\,b^5\,c^4\,d\,e\,f^5+47\,a\,b^5\,c^3\,d^2\,e^2\,f^4+18\,a\,b^5\,c^2\,d^3\,e^3\,f^3-18\,a\,b^5\,c\,d^4\,e^4\,f^2-32\,b^6\,c^5\,e\,f^5+64\,b^6\,c^4\,d\,e^2\,f^4-42\,b^6\,c^3\,d^2\,e^3\,f^3+9\,b^6\,c^2\,d^3\,e^4\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{7/2}\,b^3\,c^{5/2}\,d^2\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^6+12\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^5-59\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^4-20\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^3-13\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^4\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^5\,b\,c\,d^4\,f^5-16\,a^5\,b\,d^5\,e\,f^4+60\,a^4\,b^2\,c^2\,d^3\,f^5-92\,a^4\,b^2\,c\,d^4\,e\,f^4+32\,a^4\,b^2\,d^5\,e^2\,f^3-116\,a^3\,b^3\,c^3\,d^2\,f^5+68\,a^3\,b^3\,c^2\,d^3\,e\,f^4+63\,a^3\,b^3\,c\,d^4\,e^2\,f^3-15\,a^3\,b^3\,d^5\,e^3\,f^2+20\,a^2\,b^4\,c^4\,d\,f^5+120\,a^2\,b^4\,c^3\,d^2\,e\,f^4-155\,a^2\,b^4\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^4\,c\,d^4\,e^3\,f^2+20\,a\,b^5\,c^5\,f^5-60\,a\,b^5\,c^4\,d\,e\,f^4+25\,a\,b^5\,c^3\,d^2\,e^2\,f^3+15\,a\,b^5\,c^2\,d^3\,e^3\,f^2-20\,b^6\,c^5\,e\,f^4+35\,b^6\,c^4\,d\,e^2\,f^3-15\,b^6\,c^3\,d^2\,e^3\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(176\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^5+40\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^5-120\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^5-96\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^5+120\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^4+96\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^4+40\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^4+152\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^4+90\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f^2-210\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^3+260\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^3+142\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^3-192\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^4-52\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^4-28\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^4-36\,\sqrt{a}\,b^5\,c^{11/2}\,f^4-32\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^4+114\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^3+32\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^3+42\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f+60\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f+42\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f+44\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^3+130\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^3+112\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^3-116\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^2-120\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^2-108\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^2-88\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-64\,a^5\,c\,d^5\,f^4+64\,a^5\,d^6\,e\,f^3+128\,a^4\,b\,c^2\,d^4\,f^4-32\,a^4\,b\,c\,d^5\,e\,f^3-96\,a^4\,b\,d^6\,e^2\,f^2-272\,a^3\,b^2\,c^3\,d^3\,f^4+220\,a^3\,b^2\,c^2\,d^4\,e\,f^3+12\,a^3\,b^2\,c\,d^5\,e^2\,f^2+36\,a^3\,b^2\,d^6\,e^3\,f+144\,a^2\,b^3\,c^4\,d^2\,f^4+84\,a^2\,b^3\,c^3\,d^3\,e\,f^3-261\,a^2\,b^3\,c^2\,d^4\,e^2\,f^2+54\,a^2\,b^3\,c\,d^5\,e^3\,f-9\,a^2\,b^3\,d^6\,e^4-48\,a\,b^4\,c^5\,d\,f^4-36\,a\,b^4\,c^4\,d^2\,e\,f^3+54\,a\,b^4\,c^3\,d^3\,e^2\,f^2+18\,a\,b^4\,c\,d^5\,e^4-32\,b^5\,c^6\,f^4+132\,b^5\,c^5\,d\,e\,f^3-141\,b^5\,c^4\,d^2\,e^2\,f^2+54\,b^5\,c^3\,d^3\,e^3\,f-9\,b^5\,c^2\,d^4\,e^4\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^4\,c^{5/2}\,d^4\,e^3-240\,a^{3/2}\,b^3\,c^{3/2}\,d^5\,e^3+72\,a^{5/2}\,b^2\,\sqrt{c}\,d^6\,e^3+144\,a^{3/2}\,b^3\,c^{9/2}\,d^2\,f^3+168\,a^{5/2}\,b^2\,c^{7/2}\,d^3\,f^3-120\,\sqrt{a}\,b^4\,c^{11/2}\,d\,f^3-96\,a^{7/2}\,b\,c^{5/2}\,d^4\,f^3-96\,a^{7/2}\,b\,\sqrt{c}\,d^6\,e^2\,f+192\,a^{7/2}\,b\,c^{3/2}\,d^5\,e\,f^2-288\,\sqrt{a}\,b^4\,c^{7/2}\,d^3\,e^2\,f+672\,a^{3/2}\,b^3\,c^{5/2}\,d^4\,e^2\,f+336\,\sqrt{a}\,b^4\,c^{9/2}\,d^2\,e\,f^2-576\,a^{3/2}\,b^3\,c^{7/2}\,d^3\,e\,f^2-240\,a^{5/2}\,b^2\,c^{5/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-16\,a^4\,b\,c^2\,d^4\,f^3+32\,a^4\,b\,c\,d^5\,e\,f^2-16\,a^4\,b\,d^6\,e^2\,f+4\,a^3\,b^2\,c^3\,d^3\,f^3+24\,a^3\,b^2\,c^2\,d^4\,e\,f^2-40\,a^3\,b^2\,c\,d^5\,e^2\,f+12\,a^3\,b^2\,d^6\,e^3+164\,a^2\,b^3\,c^4\,d^2\,f^3-424\,a^2\,b^3\,c^3\,d^3\,e\,f^2+320\,a^2\,b^3\,c^2\,d^4\,e^2\,f-60\,a^2\,b^3\,c\,d^5\,e^3-36\,a\,b^4\,c^5\,d\,f^3+24\,a\,b^4\,c^4\,d^2\,e\,f^2+72\,a\,b^4\,c^3\,d^3\,e^2\,f-60\,a\,b^4\,c^2\,d^4\,e^3-20\,b^5\,c^6\,f^3+56\,b^5\,c^5\,d\,e\,f^2-48\,b^5\,c^4\,d^2\,e^2\,f+12\,b^5\,c^3\,d^3\,e^3\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(48\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3+48\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3-128\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^3+16\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^3+16\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^3+24\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^2-72\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f-32\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f-200\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f+16\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f+16\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^2+280\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^2-32\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(16\,a^4\,b^2\,c^2\,d^3\,f^4-16\,a^4\,b^2\,c\,d^4\,e\,f^3+88\,a^3\,b^3\,c^3\,d^2\,f^4-164\,a^3\,b^3\,c^2\,d^3\,e\,f^3+68\,a^3\,b^3\,c\,d^4\,e^2\,f^2+12\,a^3\,b^3\,d^5\,e^3\,f+16\,a^2\,b^4\,c^4\,d\,f^4-172\,a^2\,b^4\,c^3\,d^2\,e\,f^3+219\,a^2\,b^4\,c^2\,d^3\,e^2\,f^2-66\,a^2\,b^4\,c\,d^4\,e^3\,f-9\,a^2\,b^4\,d^5\,e^4+24\,a\,b^5\,c^5\,f^4-84\,a\,b^5\,c^4\,d\,e\,f^3+174\,a\,b^5\,c^3\,d^2\,e^2\,f^2-120\,a\,b^5\,c^2\,d^3\,e^3\,f+18\,a\,b^5\,c\,d^4\,e^4+4\,b^6\,c^5\,e\,f^3-29\,b^6\,c^4\,d\,e^2\,f^2+30\,b^6\,c^3\,d^2\,e^3\,f-9\,b^6\,c^2\,d^3\,e^4\right)}{d^{11}\,e^6}-\frac{\left(c\,f-d\,e\right)\,\left(\frac{\left(c\,f-d\,e\right)\,\left(\frac{1024\,\left(12\,a^4\,b^3\,c^2\,d^2\,f^6+4\,a^4\,b^3\,c\,d^3\,e\,f^5-16\,a^4\,b^3\,d^4\,e^2\,f^4+24\,a^3\,b^4\,c^3\,d\,f^6-76\,a^3\,b^4\,c^2\,d^2\,e\,f^5+29\,a^3\,b^4\,c\,d^3\,e^2\,f^4+24\,a^3\,b^4\,d^4\,e^3\,f^3+12\,a^2\,b^5\,c^4\,f^6-76\,a^2\,b^5\,c^3\,d\,e\,f^5+118\,a^2\,b^5\,c^2\,d^2\,e^2\,f^4-48\,a^2\,b^5\,c\,d^3\,e^3\,f^3-9\,a^2\,b^5\,d^4\,e^4\,f^2+4\,a\,b^6\,c^4\,e\,f^5+29\,a\,b^6\,c^3\,d\,e^2\,f^4-48\,a\,b^6\,c^2\,d^2\,e^3\,f^3+18\,a\,b^6\,c\,d^3\,e^4\,f^2-16\,b^7\,c^4\,e^2\,f^4+24\,b^7\,c^3\,d\,e^3\,f^3-9\,b^7\,c^2\,d^2\,e^4\,f^2\right)}{d^{11}\,e^6}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(32\,a^5\,b\,c\,d^4\,f^6-32\,a^5\,b\,d^5\,e\,f^5+12\,a^4\,b^2\,c^2\,d^3\,f^6-76\,a^4\,b^2\,c\,d^4\,e\,f^5+64\,a^4\,b^2\,d^5\,e^2\,f^4-40\,a^3\,b^3\,c^3\,d^2\,f^6+36\,a^3\,b^3\,c^2\,d^3\,e\,f^5+47\,a^3\,b^3\,c\,d^4\,e^2\,f^4-42\,a^3\,b^3\,d^5\,e^3\,f^3+12\,a^2\,b^4\,c^4\,d\,f^6+36\,a^2\,b^4\,c^3\,d^2\,e\,f^5-78\,a^2\,b^4\,c^2\,d^3\,e^2\,f^4+18\,a^2\,b^4\,c\,d^4\,e^3\,f^3+9\,a^2\,b^4\,d^5\,e^4\,f^2+32\,a\,b^5\,c^5\,f^6-76\,a\,b^5\,c^4\,d\,e\,f^5+47\,a\,b^5\,c^3\,d^2\,e^2\,f^4+18\,a\,b^5\,c^2\,d^3\,e^3\,f^3-18\,a\,b^5\,c\,d^4\,e^4\,f^2-32\,b^6\,c^5\,e\,f^5+64\,b^6\,c^4\,d\,e^2\,f^4-42\,b^6\,c^3\,d^2\,e^3\,f^3+9\,b^6\,c^2\,d^3\,e^4\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(12\,a^{7/2}\,b^3\,c^{5/2}\,d^2\,f^6-36\,a^{3/2}\,b^5\,c^{9/2}\,f^6-36\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^6+12\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^6+36\,\sqrt{a}\,b^6\,c^{9/2}\,e\,f^5+46\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^5-59\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^4-20\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^5+46\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^5+36\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^5+24\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^3+24\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^3-13\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^4-13\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^4-59\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^4\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,\left(16\,a^{9/2}\,b^2\,c^{3/2}\,d^3\,f^5-16\,a^{5/2}\,b^4\,c^{7/2}\,d\,f^5+40\,a^{3/2}\,b^5\,c^{7/2}\,d\,e\,f^4-30\,\sqrt{a}\,b^6\,c^{7/2}\,d\,e^2\,f^3-32\,a^{5/2}\,b^4\,c^{5/2}\,d^2\,e\,f^4+8\,a^{7/2}\,b^3\,c^{3/2}\,d^3\,e\,f^4-16\,a^{9/2}\,b^2\,\sqrt{c}\,d^4\,e\,f^4+30\,\sqrt{a}\,b^6\,c^{5/2}\,d^2\,e^3\,f^2-60\,a^{3/2}\,b^5\,c^{3/2}\,d^3\,e^3\,f^2+30\,a^{5/2}\,b^4\,\sqrt{c}\,d^4\,e^3\,f^2+20\,a^{3/2}\,b^5\,c^{5/2}\,d^2\,e^2\,f^3+18\,a^{5/2}\,b^4\,c^{3/2}\,d^3\,e^2\,f^3-8\,a^{7/2}\,b^3\,\sqrt{c}\,d^4\,e^2\,f^3\right)}{d^{11}\,e^6}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(16\,a^5\,b\,c\,d^4\,f^5-16\,a^5\,b\,d^5\,e\,f^4+60\,a^4\,b^2\,c^2\,d^3\,f^5-92\,a^4\,b^2\,c\,d^4\,e\,f^4+32\,a^4\,b^2\,d^5\,e^2\,f^3-116\,a^3\,b^3\,c^3\,d^2\,f^5+68\,a^3\,b^3\,c^2\,d^3\,e\,f^4+63\,a^3\,b^3\,c\,d^4\,e^2\,f^3-15\,a^3\,b^3\,d^5\,e^3\,f^2+20\,a^2\,b^4\,c^4\,d\,f^5+120\,a^2\,b^4\,c^3\,d^2\,e\,f^4-155\,a^2\,b^4\,c^2\,d^3\,e^2\,f^3+15\,a^2\,b^4\,c\,d^4\,e^3\,f^2+20\,a\,b^5\,c^5\,f^5-60\,a\,b^5\,c^4\,d\,e\,f^4+25\,a\,b^5\,c^3\,d^2\,e^2\,f^3+15\,a\,b^5\,c^2\,d^3\,e^3\,f^2-20\,b^6\,c^5\,e\,f^4+35\,b^6\,c^4\,d\,e^2\,f^3-15\,b^6\,c^3\,d^2\,e^3\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(176\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^5+40\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^5-120\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^5-96\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^5+120\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^4+96\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^4+40\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^4-408\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^4+152\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^4+90\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f^2-180\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f^2+90\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f^2-210\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^3+260\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^3+142\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^3-192\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^3\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(4\,a^{3/2}\,b^4\,c^{9/2}\,d\,f^4-52\,a^{5/2}\,b^3\,c^{7/2}\,d^2\,f^4-28\,a^{7/2}\,b^2\,c^{5/2}\,d^3\,f^4-36\,\sqrt{a}\,b^5\,c^{11/2}\,f^4-32\,a^{9/2}\,b\,c^{3/2}\,d^4\,f^4+114\,\sqrt{a}\,b^5\,c^{9/2}\,d\,e\,f^3+32\,a^{9/2}\,b\,\sqrt{c}\,d^5\,e\,f^3+42\,\sqrt{a}\,b^5\,c^{5/2}\,d^3\,e^3\,f+60\,a^{3/2}\,b^4\,c^{3/2}\,d^4\,e^3\,f+42\,a^{5/2}\,b^3\,\sqrt{c}\,d^5\,e^3\,f+44\,a^{3/2}\,b^4\,c^{7/2}\,d^2\,e\,f^3+130\,a^{5/2}\,b^3\,c^{5/2}\,d^3\,e\,f^3+112\,a^{7/2}\,b^2\,c^{3/2}\,d^4\,e\,f^3-116\,\sqrt{a}\,b^5\,c^{7/2}\,d^2\,e^2\,f^2-120\,a^{3/2}\,b^4\,c^{5/2}\,d^3\,e^2\,f^2-108\,a^{5/2}\,b^3\,c^{3/2}\,d^4\,e^2\,f^2-88\,a^{7/2}\,b^2\,\sqrt{c}\,d^5\,e^2\,f^2\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(-64\,a^5\,c\,d^5\,f^4+64\,a^5\,d^6\,e\,f^3+128\,a^4\,b\,c^2\,d^4\,f^4-32\,a^4\,b\,c\,d^5\,e\,f^3-96\,a^4\,b\,d^6\,e^2\,f^2-272\,a^3\,b^2\,c^3\,d^3\,f^4+220\,a^3\,b^2\,c^2\,d^4\,e\,f^3+12\,a^3\,b^2\,c\,d^5\,e^2\,f^2+36\,a^3\,b^2\,d^6\,e^3\,f+144\,a^2\,b^3\,c^4\,d^2\,f^4+84\,a^2\,b^3\,c^3\,d^3\,e\,f^3-261\,a^2\,b^3\,c^2\,d^4\,e^2\,f^2+54\,a^2\,b^3\,c\,d^5\,e^3\,f-9\,a^2\,b^3\,d^6\,e^4-48\,a\,b^4\,c^5\,d\,f^4-36\,a\,b^4\,c^4\,d^2\,e\,f^3+54\,a\,b^4\,c^3\,d^3\,e^2\,f^2+18\,a\,b^4\,c\,d^5\,e^4-32\,b^5\,c^6\,f^4+132\,b^5\,c^5\,d\,e\,f^3-141\,b^5\,c^4\,d^2\,e^2\,f^2+54\,b^5\,c^3\,d^3\,e^3\,f-9\,b^5\,c^2\,d^4\,e^4\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{1024\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(72\,\sqrt{a}\,b^4\,c^{5/2}\,d^4\,e^3-240\,a^{3/2}\,b^3\,c^{3/2}\,d^5\,e^3+72\,a^{5/2}\,b^2\,\sqrt{c}\,d^6\,e^3+144\,a^{3/2}\,b^3\,c^{9/2}\,d^2\,f^3+168\,a^{5/2}\,b^2\,c^{7/2}\,d^3\,f^3-120\,\sqrt{a}\,b^4\,c^{11/2}\,d\,f^3-96\,a^{7/2}\,b\,c^{5/2}\,d^4\,f^3-96\,a^{7/2}\,b\,\sqrt{c}\,d^6\,e^2\,f+192\,a^{7/2}\,b\,c^{3/2}\,d^5\,e\,f^2-288\,\sqrt{a}\,b^4\,c^{7/2}\,d^3\,e^2\,f+672\,a^{3/2}\,b^3\,c^{5/2}\,d^4\,e^2\,f+336\,\sqrt{a}\,b^4\,c^{9/2}\,d^2\,e\,f^2-576\,a^{3/2}\,b^3\,c^{7/2}\,d^3\,e\,f^2-240\,a^{5/2}\,b^2\,c^{5/2}\,d^4\,e\,f^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}+\frac{2048\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(-16\,a^4\,b\,c^2\,d^4\,f^3+32\,a^4\,b\,c\,d^5\,e\,f^2-16\,a^4\,b\,d^6\,e^2\,f+4\,a^3\,b^2\,c^3\,d^3\,f^3+24\,a^3\,b^2\,c^2\,d^4\,e\,f^2-40\,a^3\,b^2\,c\,d^5\,e^2\,f+12\,a^3\,b^2\,d^6\,e^3+164\,a^2\,b^3\,c^4\,d^2\,f^3-424\,a^2\,b^3\,c^3\,d^3\,e\,f^2+320\,a^2\,b^3\,c^2\,d^4\,e^2\,f-60\,a^2\,b^3\,c\,d^5\,e^3-36\,a\,b^4\,c^5\,d\,f^3+24\,a\,b^4\,c^4\,d^2\,e\,f^2+72\,a\,b^4\,c^3\,d^3\,e^2\,f-60\,a\,b^4\,c^2\,d^4\,e^3-20\,b^5\,c^6\,f^3+56\,b^5\,c^5\,d\,e\,f^2-48\,b^5\,c^4\,d^2\,e^2\,f+12\,b^5\,c^3\,d^3\,e^3\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}-\frac{4096\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(24\,\sqrt{a}\,b^4\,c^{7/2}\,d^3\,e^2+16\,a^{3/2}\,b^3\,c^{5/2}\,d^4\,e^2-72\,a^{5/2}\,b^2\,c^{3/2}\,d^5\,e^2+16\,a^{3/2}\,b^3\,c^{9/2}\,d^2\,f^2-72\,a^{5/2}\,b^2\,c^{7/2}\,d^3\,f^2+32\,a^{7/2}\,b\,\sqrt{c}\,d^6\,e^2+24\,\sqrt{a}\,b^4\,c^{11/2}\,d\,f^2+32\,a^{7/2}\,b\,c^{5/2}\,d^4\,f^2-48\,\sqrt{a}\,b^4\,c^{9/2}\,d^2\,e\,f-32\,a^{3/2}\,b^3\,c^{7/2}\,d^3\,e\,f+144\,a^{5/2}\,b^2\,c^{5/2}\,d^4\,e\,f-64\,a^{7/2}\,b\,c^{3/2}\,d^5\,e\,f\right)}{d^{11}\,e^6\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{2048\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(64\,a^4\,c^2\,d^5\,f^2-128\,a^4\,c\,d^6\,e\,f+64\,a^4\,d^7\,e^2-160\,a^3\,b\,c^3\,d^4\,f^2+320\,a^3\,b\,c^2\,d^5\,e\,f-160\,a^3\,b\,c\,d^6\,e^2+132\,a^2\,b^2\,c^4\,d^3\,f^2-264\,a^2\,b^2\,c^3\,d^4\,e\,f+132\,a^2\,b^2\,c^2\,d^5\,e^2-72\,a\,b^3\,c^5\,d^2\,f^2+144\,a\,b^3\,c^4\,d^3\,e\,f-72\,a\,b^3\,c^3\,d^4\,e^2+36\,b^4\,c^6\,d\,f^2-72\,b^4\,c^5\,d^2\,e\,f+36\,b^4\,c^4\,d^3\,e^2\right)}{d^{11}\,e^6\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}\right)\,\left(c\,f-d\,e\right)\,2{}\mathrm{i}}{f\,\sqrt{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}}","Not used",1,"- (d^(1/2)*atan(((d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2)*b^6*c^(3/2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11/2)*d^3*f^4 + 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^4 + 24*a^(1/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(1/2)*b^8*c^(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7/2)*b^5*c^(7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^17*e^8) + (2*d^(1/2)*((2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) + (2*d^(1/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) + (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 + 36*a^5*b^4*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*b^8*c^3*d^5*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^4*e^3*f^2 + 156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*d^4*e*f^4 - 69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^6*e*f^4 + 134*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*c^3*d^5*e^2*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*d^2*f^5 + 112*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5 - 64*a^(11/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(3/2)*b^7*c^(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*b^8*c^(13/2)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*b^5*c^(7/2)*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 112*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^4 - 60*a^2*b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128*a^5*b^3*c^3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^3*d^6*e^4 + 24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b^8*c^7*d^2*e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d^4*e^2*f^2 + 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^4*d^5*e*f^3 - 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c^4*d^5*e^2*f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2))))*2i)/(b^(1/2)*f) + (d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2)*b^6*c^(3/2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11/2)*d^3*f^4 + 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^4 + 24*a^(1/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(1/2)*b^8*c^(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7/2)*b^5*c^(7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^17*e^8) + (2*d^(1/2)*((65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 + 36*a^5*b^4*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*b^8*c^3*d^5*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^4*e^3*f^2 + 156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*d^4*e*f^4 - 69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^6*e*f^4 + 134*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*c^3*d^5*e^2*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*d^2*f^5 + 112*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5 - 64*a^(11/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(3/2)*b^7*c^(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*b^8*c^(13/2)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*b^5*c^(7/2)*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 112*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^4 - 60*a^2*b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128*a^5*b^3*c^3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^3*d^6*e^4 + 24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b^8*c^7*d^2*e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d^4*e^2*f^2 + 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^4*d^5*e*f^3 - 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c^4*d^5*e^2*f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2))))*2i)/(b^(1/2)*f))/((131072*(12*b^8*c^8*d*f^3 - 16*a^5*b^3*d^9*e^3 - 12*b^8*c^5*d^4*e^3 - 56*a^2*b^6*c^3*d^6*e^3 + 56*a^2*b^6*c^6*d^3*f^3 - 36*a^4*b^4*c^4*d^5*f^3 + 16*a^5*b^3*c^3*d^6*f^3 + 48*a*b^7*c^4*d^5*e^3 + 36*a^4*b^4*c*d^8*e^3 - 48*a*b^7*c^7*d^2*f^3 + 36*b^8*c^6*d^3*e^2*f - 36*b^8*c^7*d^2*e*f^2 - 144*a*b^7*c^5*d^4*e^2*f + 144*a*b^7*c^6*d^3*e*f^2 + 48*a^5*b^3*c*d^8*e^2*f + 168*a^2*b^6*c^4*d^5*e^2*f - 168*a^2*b^6*c^5*d^4*e*f^2 - 108*a^4*b^4*c^2*d^7*e^2*f + 108*a^4*b^4*c^3*d^6*e*f^2 - 48*a^5*b^3*c^2*d^7*e*f^2))/(d^17*e^8) - (2*d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2)*b^6*c^(3/2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11/2)*d^3*f^4 + 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^4 + 24*a^(1/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(1/2)*b^8*c^(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7/2)*b^5*c^(7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^17*e^8) + (2*d^(1/2)*((2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) + (2*d^(1/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) + (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 + 36*a^5*b^4*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*b^8*c^3*d^5*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^4*e^3*f^2 + 156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*d^4*e*f^4 - 69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^6*e*f^4 + 134*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*c^3*d^5*e^2*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*d^2*f^5 + 112*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5 - 64*a^(11/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(3/2)*b^7*c^(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*b^8*c^(13/2)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*b^5*c^(7/2)*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 112*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^4 - 60*a^2*b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128*a^5*b^3*c^3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^3*d^6*e^4 + 24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b^8*c^7*d^2*e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d^4*e^2*f^2 + 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^4*d^5*e*f^3 - 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c^4*d^5*e^2*f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (2*d^(1/2)*((65536*(24*a^(1/2)*b^8*c^(7/2)*d^5*e^4 - 24*a^(3/2)*b^7*c^(5/2)*d^6*e^4 - 24*a^(5/2)*b^6*c^(3/2)*d^7*e^4 + 24*a^(7/2)*b^5*c^(1/2)*d^8*e^4 - 40*a^(3/2)*b^7*c^(13/2)*d^2*f^4 + 8*a^(5/2)*b^6*c^(11/2)*d^3*f^4 + 24*a^(7/2)*b^5*c^(9/2)*d^4*f^4 - 32*a^(9/2)*b^4*c^(7/2)*d^5*f^4 + 16*a^(11/2)*b^3*c^(5/2)*d^6*f^4 + 24*a^(1/2)*b^8*c^(15/2)*d*f^4 - 108*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f + 176*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f - 72*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f + 48*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f - 44*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f - 108*a^(1/2)*b^8*c^(13/2)*d^2*e*f^3 + 208*a^(3/2)*b^7*c^(11/2)*d^3*e*f^3 - 136*a^(5/2)*b^6*c^(9/2)*d^4*e*f^3 + 48*a^(7/2)*b^5*c^(7/2)*d^5*e*f^3 + 20*a^(9/2)*b^4*c^(5/2)*d^6*e*f^3 - 32*a^(11/2)*b^3*c^(3/2)*d^7*e*f^3 + 168*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^2 - 320*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^2 + 224*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^2 - 144*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^2 + 56*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^2 + 16*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^2))/(d^17*e^8) + (2*d^(1/2)*((65536*(60*a^2*b^7*c^6*d^2*f^5 - 4*b^9*c^8*f^5 - 100*a^3*b^6*c^5*d^3*f^5 + 24*a^4*b^5*c^4*d^4*f^5 + 36*a^5*b^4*c^3*d^5*f^5 - 16*a^6*b^3*c^2*d^6*f^5 + 16*a^5*b^4*d^8*e^3*f^2 - 16*a^6*b^3*d^8*e^2*f^3 + 7*b^9*c^5*d^3*e^3*f^2 - 27*b^9*c^6*d^2*e^2*f^3 + 21*b^9*c^7*d*e*f^4 + 3*a^4*b^5*d^8*e^4*f + 3*b^9*c^4*d^4*e^4*f + 12*a*b^8*c^3*d^5*e^4*f - 72*a*b^8*c^6*d^2*e*f^4 + 12*a^3*b^6*c*d^7*e^4*f + 32*a^6*b^3*c*d^7*e*f^4 - 96*a*b^8*c^4*d^4*e^3*f^2 + 156*a*b^8*c^5*d^3*e^2*f^3 - 30*a^2*b^7*c^2*d^6*e^4*f - 46*a^2*b^7*c^5*d^3*e*f^4 + 232*a^3*b^6*c^4*d^4*e*f^4 - 69*a^4*b^5*c*d^7*e^3*f^2 - 111*a^4*b^5*c^3*d^5*e*f^4 + 4*a^5*b^4*c*d^7*e^2*f^3 - 56*a^5*b^4*c^2*d^6*e*f^4 + 134*a^2*b^7*c^3*d^5*e^3*f^2 - 118*a^2*b^7*c^4*d^4*e^2*f^3 + 8*a^3*b^6*c^2*d^6*e^3*f^2 - 152*a^3*b^6*c^3*d^5*e^2*f^3 + 153*a^4*b^5*c^2*d^6*e^2*f^3))/(d^17*e^8) + (2*d^(1/2)*((65536*(44*a^(5/2)*b^7*c^(11/2)*d^2*f^6 - 4*a^(1/2)*b^9*c^(15/2)*f^6 - 4*a^(7/2)*b^6*c^(9/2)*d^3*f^6 - 24*a^(9/2)*b^5*c^(7/2)*d^4*f^6 + 28*a^(11/2)*b^4*c^(5/2)*d^5*f^6 - 16*a^(13/2)*b^3*c^(3/2)*d^6*f^6 - 24*a^(3/2)*b^8*c^(13/2)*d*f^6 + 51*a^(1/2)*b^9*c^(13/2)*d*e*f^5 + 16*a^(3/2)*b^8*c^(11/2)*d^2*e*f^5 - 150*a^(5/2)*b^7*c^(9/2)*d^3*e*f^5 + 116*a^(7/2)*b^6*c^(7/2)*d^4*e*f^5 - 85*a^(9/2)*b^5*c^(5/2)*d^5*e*f^5 + 36*a^(11/2)*b^4*c^(3/2)*d^6*e*f^5 + 16*a^(13/2)*b^3*c^(1/2)*d^7*e*f^5 - 36*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^2 + 36*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^2 + 36*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^2 - 36*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^2 + 127*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^3 - 180*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^3 + 66*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^3 - 100*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^3 + 87*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^3 - 138*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^4 + 152*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^4 + 4*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^4 + 24*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^4 + 22*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^4 - 64*a^(11/2)*b^4*c^(1/2)*d^7*e^2*f^4))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*b^10*c^7*e*f^6 - 4*a*b^9*c^7*f^7 + 12*a^3*b^7*c^5*d^2*f^7 - 44*a^4*b^6*c^4*d^3*f^7 + 24*a^5*b^5*c^3*d^4*f^7 + 3*a^4*b^6*d^7*e^4*f^3 - 3*a^5*b^5*d^7*e^3*f^4 + 3*b^10*c^4*d^3*e^4*f^3 - 2*b^10*c^5*d^2*e^3*f^4 + 12*a^2*b^8*c^6*d*f^7 - 5*b^10*c^6*d*e^2*f^5 + 12*a*b^9*c^3*d^4*e^4*f^3 - 39*a*b^9*c^4*d^3*e^3*f^4 + 38*a*b^9*c^5*d^2*e^2*f^5 - 48*a^2*b^8*c^5*d^2*e*f^6 + 12*a^3*b^7*c*d^6*e^4*f^3 + 50*a^3*b^7*c^4*d^3*e*f^6 - 42*a^4*b^6*c*d^6*e^3*f^4 + 52*a^4*b^6*c^3*d^4*e*f^6 + 30*a^5*b^5*c*d^6*e^2*f^5 - 51*a^5*b^5*c^2*d^5*e*f^6 - 7*a*b^9*c^6*d*e*f^6 - 30*a^2*b^8*c^2*d^5*e^4*f^3 + 36*a^2*b^8*c^3*d^4*e^3*f^4 + 30*a^2*b^8*c^4*d^3*e^2*f^5 + 50*a^3*b^7*c^2*d^5*e^3*f^4 - 124*a^3*b^7*c^3*d^4*e^2*f^5 + 31*a^4*b^6*c^2*d^5*e^2*f^5))/(d^17*e^8) - (2*d^(1/2)*((65536*(4*a^(3/2)*b^9*c^(13/2)*f^8 - 4*a^(7/2)*b^7*c^(9/2)*d^2*f^8 - 4*a^(9/2)*b^6*c^(7/2)*d^3*f^8 + 4*a^(13/2)*b^4*c^(3/2)*d^5*f^8 - 4*a^(1/2)*b^10*c^(13/2)*e*f^7 - 23*a^(3/2)*b^9*c^(11/2)*d*e*f^7 + 23*a^(1/2)*b^10*c^(11/2)*d*e^2*f^6 + 32*a^(5/2)*b^8*c^(9/2)*d^2*e*f^7 - 10*a^(7/2)*b^7*c^(7/2)*d^3*e*f^7 + 32*a^(9/2)*b^6*c^(5/2)*d^4*e*f^7 - 23*a^(11/2)*b^5*c^(3/2)*d^5*e*f^7 - 4*a^(13/2)*b^4*c^(1/2)*d^6*e*f^7 + 12*a^(1/2)*b^10*c^(7/2)*d^3*e^4*f^4 - 12*a^(3/2)*b^9*c^(5/2)*d^4*e^4*f^4 - 12*a^(5/2)*b^8*c^(3/2)*d^5*e^4*f^4 + 12*a^(7/2)*b^7*c^(1/2)*d^6*e^4*f^4 - 31*a^(1/2)*b^10*c^(9/2)*d^2*e^3*f^5 + 28*a^(3/2)*b^9*c^(7/2)*d^3*e^3*f^5 + 6*a^(5/2)*b^8*c^(5/2)*d^4*e^3*f^5 + 28*a^(7/2)*b^7*c^(3/2)*d^5*e^3*f^5 - 31*a^(9/2)*b^6*c^(1/2)*d^6*e^3*f^5 + 3*a^(3/2)*b^9*c^(9/2)*d^2*e^2*f^6 - 26*a^(5/2)*b^8*c^(7/2)*d^3*e^2*f^6 - 26*a^(7/2)*b^7*c^(5/2)*d^4*e^2*f^6 + 3*a^(9/2)*b^6*c^(3/2)*d^5*e^2*f^6 + 23*a^(11/2)*b^5*c^(1/2)*d^6*e^2*f^6))/(d^17*e^8) - (65536*((a + b*x)^(1/2) - a^(1/2))*(8*a*b^9*c^7*f^8 - 8*b^10*c^7*e*f^7 + 72*a^3*b^7*c^5*d^2*f^8 - 100*a^4*b^6*c^4*d^3*f^8 + 72*a^5*b^5*c^3*d^4*f^8 - 30*a^6*b^4*c^2*d^5*f^8 + 3*a^4*b^6*d^7*e^4*f^4 - 13*a^5*b^5*d^7*e^3*f^5 + 18*a^6*b^4*d^7*e^2*f^6 + 3*b^10*c^4*d^3*e^4*f^4 - 13*b^10*c^5*d^2*e^3*f^5 - 30*a^2*b^8*c^6*d*f^8 + 8*a^7*b^3*c*d^6*f^8 - 8*a^7*b^3*d^7*e*f^7 + 18*b^10*c^6*d*e^2*f^6 + 12*a^6*b^4*c*d^6*e*f^7 + 12*a*b^9*c^3*d^4*e^4*f^4 - 9*a*b^9*c^4*d^3*e^3*f^5 - 23*a*b^9*c^5*d^2*e^2*f^6 - 36*a^2*b^8*c^5*d^2*e*f^7 + 12*a^3*b^7*c*d^6*e^4*f^4 + 32*a^3*b^7*c^4*d^3*e*f^7 - 9*a^4*b^6*c*d^6*e^3*f^5 + 32*a^4*b^6*c^3*d^4*e*f^7 - 23*a^5*b^5*c*d^6*e^2*f^6 - 36*a^5*b^5*c^2*d^5*e*f^7 + 12*a*b^9*c^6*d*e*f^7 - 30*a^2*b^8*c^2*d^5*e^4*f^4 + 22*a^2*b^8*c^3*d^4*e^3*f^5 + 74*a^2*b^8*c^4*d^3*e^2*f^6 + 22*a^3*b^7*c^2*d^5*e^3*f^5 - 138*a^3*b^7*c^3*d^4*e^2*f^6 + 74*a^4*b^6*c^2*d^5*e^2*f^6))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(96*a^(7/2)*b^6*c^(9/2)*d^3*f^7 - 72*a^(5/2)*b^7*c^(11/2)*d^2*f^7 - 40*a^(9/2)*b^5*c^(7/2)*d^4*f^7 + 16*a^(3/2)*b^8*c^(13/2)*d*f^7 - 16*a^(1/2)*b^9*c^(13/2)*d*e*f^6 + 52*a^(3/2)*b^8*c^(11/2)*d^2*e*f^6 + 36*a^(5/2)*b^7*c^(9/2)*d^3*e*f^6 - 164*a^(7/2)*b^6*c^(7/2)*d^4*e*f^6 + 92*a^(9/2)*b^5*c^(5/2)*d^5*e*f^6 - 12*a^(1/2)*b^9*c^(7/2)*d^4*e^4*f^3 + 12*a^(3/2)*b^8*c^(5/2)*d^5*e^4*f^3 + 12*a^(5/2)*b^7*c^(3/2)*d^6*e^4*f^3 - 12*a^(7/2)*b^6*c^(1/2)*d^7*e^4*f^3 + 8*a^(1/2)*b^9*c^(9/2)*d^3*e^3*f^4 + 60*a^(3/2)*b^8*c^(7/2)*d^4*e^3*f^4 - 132*a^(5/2)*b^7*c^(5/2)*d^5*e^3*f^4 + 52*a^(7/2)*b^6*c^(3/2)*d^6*e^3*f^4 + 12*a^(9/2)*b^5*c^(1/2)*d^7*e^3*f^4 + 20*a^(1/2)*b^9*c^(11/2)*d^2*e^2*f^5 - 140*a^(3/2)*b^8*c^(9/2)*d^3*e^2*f^5 + 156*a^(5/2)*b^7*c^(7/2)*d^4*e^2*f^5 + 28*a^(7/2)*b^6*c^(5/2)*d^5*e^2*f^5 - 64*a^(9/2)*b^5*c^(3/2)*d^6*e^2*f^5))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (65536*((a + b*x)^(1/2) - a^(1/2))*(8*b^9*c^8*f^6 - 48*a^2*b^7*c^6*d^2*f^6 + 136*a^3*b^6*c^5*d^3*f^6 - 240*a^4*b^5*c^4*d^4*f^6 + 228*a^5*b^4*c^3*d^5*f^6 - 120*a^6*b^3*c^2*d^6*f^6 + 9*a^4*b^5*d^8*e^4*f^2 - 48*a^5*b^4*d^8*e^3*f^3 + 72*a^6*b^3*d^8*e^2*f^4 + 9*b^9*c^4*d^4*e^4*f^2 - 58*b^9*c^5*d^3*e^3*f^3 + 101*b^9*c^6*d^2*e^2*f^4 + 4*a*b^8*c^7*d*f^6 - 60*b^9*c^7*d*e*f^5 + 32*a^7*b^2*c*d^7*f^6 - 32*a^7*b^2*d^8*e*f^5 + 116*a*b^8*c^6*d^2*e*f^5 + 48*a^6*b^3*c*d^7*e*f^5 + 36*a*b^8*c^3*d^5*e^4*f^2 - 156*a*b^8*c^5*d^3*e^2*f^4 - 208*a^2*b^7*c^5*d^3*e*f^5 + 36*a^3*b^6*c*d^7*e^4*f^2 + 288*a^3*b^6*c^4*d^4*e*f^5 + 30*a^4*b^5*c*d^7*e^3*f^3 - 132*a^4*b^5*c^3*d^5*e*f^5 - 160*a^5*b^4*c*d^7*e^2*f^4 - 20*a^5*b^4*c^2*d^6*e*f^5 - 90*a^2*b^7*c^2*d^6*e^4*f^2 + 108*a^2*b^7*c^3*d^5*e^3*f^3 + 238*a^2*b^7*c^4*d^4*e^2*f^4 - 32*a^3*b^6*c^2*d^6*e^3*f^3 - 428*a^3*b^6*c^3*d^5*e^2*f^4 + 333*a^4*b^5*c^2*d^6*e^2*f^4))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(24*a^(3/2)*b^7*c^(13/2)*d^2*f^5 + 112*a^(5/2)*b^6*c^(11/2)*d^3*f^5 - 296*a^(7/2)*b^5*c^(9/2)*d^4*f^5 + 240*a^(9/2)*b^4*c^(7/2)*d^5*f^5 - 64*a^(11/2)*b^3*c^(5/2)*d^6*f^5 - 16*a^(1/2)*b^8*c^(15/2)*d*f^5 + 12*a^(1/2)*b^8*c^(7/2)*d^5*e^4*f - 12*a^(3/2)*b^7*c^(5/2)*d^6*e^4*f - 12*a^(5/2)*b^6*c^(3/2)*d^7*e^4*f + 12*a^(7/2)*b^5*c^(1/2)*d^8*e^4*f + 84*a^(1/2)*b^8*c^(13/2)*d^2*e*f^4 - 316*a^(3/2)*b^7*c^(11/2)*d^3*e*f^4 + 220*a^(5/2)*b^6*c^(9/2)*d^4*e*f^4 + 300*a^(7/2)*b^5*c^(7/2)*d^5*e*f^4 - 416*a^(9/2)*b^4*c^(5/2)*d^6*e*f^4 + 128*a^(11/2)*b^3*c^(3/2)*d^7*e*f^4 + 28*a^(1/2)*b^8*c^(9/2)*d^4*e^3*f^2 - 244*a^(3/2)*b^7*c^(7/2)*d^5*e^3*f^2 + 468*a^(5/2)*b^6*c^(5/2)*d^6*e^3*f^2 - 316*a^(7/2)*b^5*c^(3/2)*d^7*e^3*f^2 + 64*a^(9/2)*b^4*c^(1/2)*d^8*e^3*f^2 - 108*a^(1/2)*b^8*c^(11/2)*d^3*e^2*f^3 + 548*a^(3/2)*b^7*c^(9/2)*d^4*e^2*f^3 - 788*a^(5/2)*b^6*c^(7/2)*d^5*e^2*f^3 + 300*a^(7/2)*b^5*c^(5/2)*d^6*e^2*f^3 + 112*a^(9/2)*b^4*c^(3/2)*d^7*e^2*f^3 - 64*a^(11/2)*b^3*c^(1/2)*d^8*e^2*f^3))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) - (65536*((a + b*x)^(1/2) - a^(1/2))*(34*b^8*c^8*d*f^4 + 6*a^4*b^4*d^9*e^4 + 6*b^8*c^4*d^5*e^4 - 60*a^2*b^6*c^2*d^7*e^4 + 236*a^2*b^6*c^6*d^3*f^4 - 312*a^3*b^5*c^5*d^4*f^4 + 258*a^4*b^4*c^4*d^5*f^4 - 128*a^5*b^3*c^3*d^6*f^4 + 32*a^6*b^2*c^2*d^7*f^4 + 32*a^6*b^2*d^9*e^2*f^2 + 112*b^8*c^6*d^3*e^2*f^2 + 24*a*b^7*c^3*d^6*e^4 + 24*a^3*b^5*c*d^8*e^4 - 120*a*b^7*c^7*d^2*f^4 - 32*a^5*b^3*d^9*e^3*f - 48*b^8*c^5*d^4*e^3*f - 104*b^8*c^7*d^2*e*f^3 + 288*a*b^7*c^6*d^3*e*f^3 + 48*a^4*b^4*c*d^8*e^3*f - 64*a^6*b^2*c*d^8*e*f^3 - 192*a*b^7*c^5*d^4*e^2*f^2 + 128*a^2*b^6*c^3*d^6*e^3*f - 464*a^2*b^6*c^5*d^4*e*f^3 - 96*a^3*b^5*c^2*d^7*e^3*f + 576*a^3*b^5*c^4*d^5*e*f^3 - 456*a^4*b^4*c^3*d^6*e*f^3 - 64*a^5*b^3*c*d^8*e^2*f^2 + 224*a^5*b^3*c^2*d^7*e*f^3 + 160*a^2*b^6*c^4*d^5*e^2*f^2 - 192*a^3*b^5*c^3*d^6*e^2*f^2 + 144*a^4*b^4*c^2*d^7*e^2*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))/(b^(1/2)*f) + (131072*((a + b*x)^(1/2) - a^(1/2))*(48*a^(1/2)*b^7*c^(9/2)*d^5*e^3 - 208*a^(3/2)*b^6*c^(7/2)*d^6*e^3 + 336*a^(5/2)*b^5*c^(5/2)*d^7*e^3 - 240*a^(7/2)*b^4*c^(3/2)*d^8*e^3 + 64*a^(9/2)*b^3*c^(1/2)*d^9*e^3 - 48*a^(1/2)*b^7*c^(15/2)*d^2*f^3 + 208*a^(3/2)*b^6*c^(13/2)*d^3*f^3 - 336*a^(5/2)*b^5*c^(11/2)*d^4*f^3 + 240*a^(7/2)*b^4*c^(9/2)*d^5*f^3 - 64*a^(9/2)*b^3*c^(7/2)*d^6*f^3 - 144*a^(1/2)*b^7*c^(11/2)*d^4*e^2*f + 624*a^(3/2)*b^6*c^(9/2)*d^5*e^2*f - 1008*a^(5/2)*b^5*c^(7/2)*d^6*e^2*f + 720*a^(7/2)*b^4*c^(5/2)*d^7*e^2*f - 192*a^(9/2)*b^3*c^(3/2)*d^8*e^2*f + 144*a^(1/2)*b^7*c^(13/2)*d^3*e*f^2 - 624*a^(3/2)*b^6*c^(11/2)*d^4*e*f^2 + 1008*a^(5/2)*b^5*c^(9/2)*d^5*e*f^2 - 720*a^(7/2)*b^4*c^(7/2)*d^6*e*f^2 + 192*a^(9/2)*b^3*c^(5/2)*d^7*e*f^2))/(d^17*e^8*((c + d*x)^(1/2) - c^(1/2)))))*4i)/(b^(1/2)*f) - (atan((((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(9/2)*d*f^3 + 24*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f - 200*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2 + 280*a^(5/2)*b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) + ((c*f - d*e)*((1024*(24*a*b^5*c^5*f^4 + 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*c^2*d^3*f^4 + 18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6*c^4*d*e^2*f^2 - 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2*e^2*f^2 - 172*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e*f^3 + 219*a^2*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(16*a^(9/2)*b^2*c^(3/2)*d^3*f^5 - 16*a^(5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^4*c^(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^6) + ((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^2*f^5 + 60*a^4*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5*c^(9/2)*d*e*f^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 152*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3 + 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(3/2)*b^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*b^5*c^(11/2)*f^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f + 44*a^(3/2)*b^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 116*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^5*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2*b^3*c^4*d^2*f^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4 + 132*b^5*c^5*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*e^3*f - 36*a*b^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2)*d^6*e^3 + 144*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3 - 96*a^(7/2)*b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/2)*b^4*c^(7/2)*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)*b^3*c^(7/2)*d^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4*d^2*e*f^2 - 40*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d^4*e*f^2 + 32*a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))))*1i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + ((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(9/2)*d*f^3 + 24*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f - 200*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2 + 280*a^(5/2)*b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(24*a*b^5*c^5*f^4 + 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*c^2*d^3*f^4 + 18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6*c^4*d*e^2*f^2 - 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2*e^2*f^2 - 172*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e*f^3 + 219*a^2*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*(((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*(16*a^(9/2)*b^2*c^(3/2)*d^3*f^5 - 16*a^(5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^4*c^(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^6) + (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^2*f^5 + 60*a^4*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5*c^(9/2)*d*e*f^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 152*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3 + 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(3/2)*b^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*b^5*c^(11/2)*f^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f + 44*a^(3/2)*b^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 116*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^5*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2*b^3*c^4*d^2*f^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4 + 132*b^5*c^5*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*e^3*f - 36*a*b^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2)*d^6*e^3 + 144*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3 - 96*a^(7/2)*b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/2)*b^4*c^(7/2)*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)*b^3*c^(7/2)*d^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4*d^2*e*f^2 - 40*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d^4*e*f^2 + 32*a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))))*1i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)))/((2048*(12*b^5*c^6*f^2 + 12*b^5*c^4*d^2*e^2 - 24*b^5*c^5*d*e*f - 52*a^2*b^3*c^2*d^4*e^2 - 52*a^2*b^3*c^4*d^2*f^2 + 16*a^3*b^2*c^3*d^3*f^2 + 24*a*b^4*c^5*d*f^2 + 24*a*b^4*c^3*d^3*e^2 + 16*a^3*b^2*c*d^5*e^2 + 104*a^2*b^3*c^3*d^3*e*f - 32*a^3*b^2*c^2*d^4*e*f - 48*a*b^4*c^4*d^2*e*f))/(d^11*e^6) - ((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(9/2)*d*f^3 + 24*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f - 200*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2 + 280*a^(5/2)*b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) + ((c*f - d*e)*((1024*(24*a*b^5*c^5*f^4 + 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*c^2*d^3*f^4 + 18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6*c^4*d*e^2*f^2 - 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2*e^2*f^2 - 172*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e*f^3 + 219*a^2*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(16*a^(9/2)*b^2*c^(3/2)*d^3*f^5 - 16*a^(5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^4*c^(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^6) + ((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^2*f^5 + 60*a^4*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5*c^(9/2)*d*e*f^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 152*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3 + 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(3/2)*b^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*b^5*c^(11/2)*f^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f + 44*a^(3/2)*b^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 116*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^5*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2*b^3*c^4*d^2*f^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4 + 132*b^5*c^5*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*e^3*f - 36*a*b^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2)*d^6*e^3 + 144*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3 - 96*a^(7/2)*b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/2)*b^4*c^(7/2)*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)*b^3*c^(7/2)*d^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4*d^2*e*f^2 - 40*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d^4*e*f^2 + 32*a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + ((c*f - d*e)*((1024*(48*a^(1/2)*b^5*c^(5/2)*d^3*e^3 + 48*a^(5/2)*b^3*c^(1/2)*d^5*e^3 - 128*a^(5/2)*b^3*c^(7/2)*d^2*f^3 + 16*a^(7/2)*b^2*c^(5/2)*d^3*f^3 + 16*a^(3/2)*b^4*c^(9/2)*d*f^3 + 24*a^(1/2)*b^5*c^(9/2)*d*e*f^2 - 72*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f - 32*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f - 200*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f + 16*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f + 16*a^(3/2)*b^4*c^(7/2)*d^2*e*f^2 + 280*a^(5/2)*b^3*c^(5/2)*d^3*e*f^2 - 32*a^(7/2)*b^2*c^(3/2)*d^4*e*f^2))/(d^11*e^6) - ((c*f - d*e)*((1024*(24*a*b^5*c^5*f^4 + 4*b^6*c^5*e*f^3 - 9*a^2*b^4*d^5*e^4 - 9*b^6*c^2*d^3*e^4 + 88*a^3*b^3*c^3*d^2*f^4 + 16*a^4*b^2*c^2*d^3*f^4 + 18*a*b^5*c*d^4*e^4 + 16*a^2*b^4*c^4*d*f^4 + 12*a^3*b^3*d^5*e^3*f + 30*b^6*c^3*d^2*e^3*f - 29*b^6*c^4*d*e^2*f^2 - 120*a*b^5*c^2*d^3*e^3*f - 66*a^2*b^4*c*d^4*e^3*f - 16*a^4*b^2*c*d^4*e*f^3 + 174*a*b^5*c^3*d^2*e^2*f^2 - 172*a^2*b^4*c^3*d^2*e*f^3 + 68*a^3*b^3*c*d^4*e^2*f^2 - 164*a^3*b^3*c^2*d^3*e*f^3 - 84*a*b^5*c^4*d*e*f^3 + 219*a^2*b^4*c^2*d^3*e^2*f^2))/(d^11*e^6) - ((c*f - d*e)*(((c*f - d*e)*((1024*(12*a^2*b^5*c^4*f^6 - 16*b^7*c^4*e^2*f^4 + 12*a^4*b^3*c^2*d^2*f^6 - 9*a^2*b^5*d^4*e^4*f^2 + 24*a^3*b^4*d^4*e^3*f^3 - 16*a^4*b^3*d^4*e^2*f^4 - 9*b^7*c^2*d^2*e^4*f^2 + 4*a*b^6*c^4*e*f^5 + 24*a^3*b^4*c^3*d*f^6 + 24*b^7*c^3*d*e^3*f^3 + 18*a*b^6*c*d^3*e^4*f^2 + 29*a*b^6*c^3*d*e^2*f^4 - 76*a^2*b^5*c^3*d*e*f^5 + 4*a^4*b^3*c*d^3*e*f^5 - 48*a*b^6*c^2*d^2*e^3*f^3 - 48*a^2*b^5*c*d^3*e^3*f^3 + 29*a^3*b^4*c*d^3*e^2*f^4 - 76*a^3*b^4*c^2*d^2*e*f^5 + 118*a^2*b^5*c^2*d^2*e^2*f^4))/(d^11*e^6) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(32*a*b^5*c^5*f^6 - 32*b^6*c^5*e*f^5 - 40*a^3*b^3*c^3*d^2*f^6 + 12*a^4*b^2*c^2*d^3*f^6 + 9*a^2*b^4*d^5*e^4*f^2 - 42*a^3*b^3*d^5*e^3*f^3 + 64*a^4*b^2*d^5*e^2*f^4 + 9*b^6*c^2*d^3*e^4*f^2 - 42*b^6*c^3*d^2*e^3*f^3 + 32*a^5*b*c*d^4*f^6 - 32*a^5*b*d^5*e*f^5 + 12*a^2*b^4*c^4*d*f^6 + 64*b^6*c^4*d*e^2*f^4 - 18*a*b^5*c*d^4*e^4*f^2 - 76*a^4*b^2*c*d^4*e*f^5 + 18*a*b^5*c^2*d^3*e^3*f^3 + 47*a*b^5*c^3*d^2*e^2*f^4 + 18*a^2*b^4*c*d^4*e^3*f^3 + 36*a^2*b^4*c^3*d^2*e*f^5 + 47*a^3*b^3*c*d^4*e^2*f^4 + 36*a^3*b^3*c^2*d^3*e*f^5 - 76*a*b^5*c^4*d*e*f^5 - 78*a^2*b^4*c^2*d^3*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^(7/2)*b^3*c^(5/2)*d^2*f^6 - 36*a^(3/2)*b^5*c^(9/2)*f^6 - 36*a^(9/2)*b^2*c^(3/2)*d^3*f^6 + 12*a^(5/2)*b^4*c^(7/2)*d*f^6 + 36*a^(1/2)*b^6*c^(9/2)*e*f^5 + 46*a^(3/2)*b^5*c^(7/2)*d*e*f^5 - 59*a^(1/2)*b^6*c^(7/2)*d*e^2*f^4 - 20*a^(5/2)*b^4*c^(5/2)*d^2*e*f^5 + 46*a^(7/2)*b^3*c^(3/2)*d^3*e*f^5 + 36*a^(9/2)*b^2*c^(1/2)*d^4*e*f^5 + 24*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^3 + 24*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^3 - 13*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^4 - 13*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^4 - 59*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^4))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*(16*a^(9/2)*b^2*c^(3/2)*d^3*f^5 - 16*a^(5/2)*b^4*c^(7/2)*d*f^5 + 40*a^(3/2)*b^5*c^(7/2)*d*e*f^4 - 30*a^(1/2)*b^6*c^(7/2)*d*e^2*f^3 - 32*a^(5/2)*b^4*c^(5/2)*d^2*e*f^4 + 8*a^(7/2)*b^3*c^(3/2)*d^3*e*f^4 - 16*a^(9/2)*b^2*c^(1/2)*d^4*e*f^4 + 30*a^(1/2)*b^6*c^(5/2)*d^2*e^3*f^2 - 60*a^(3/2)*b^5*c^(3/2)*d^3*e^3*f^2 + 30*a^(5/2)*b^4*c^(1/2)*d^4*e^3*f^2 + 20*a^(3/2)*b^5*c^(5/2)*d^2*e^2*f^3 + 18*a^(5/2)*b^4*c^(3/2)*d^3*e^2*f^3 - 8*a^(7/2)*b^3*c^(1/2)*d^4*e^2*f^3))/(d^11*e^6) + (2048*((a + b*x)^(1/2) - a^(1/2))*(20*a*b^5*c^5*f^5 - 20*b^6*c^5*e*f^4 - 116*a^3*b^3*c^3*d^2*f^5 + 60*a^4*b^2*c^2*d^3*f^5 - 15*a^3*b^3*d^5*e^3*f^2 + 32*a^4*b^2*d^5*e^2*f^3 - 15*b^6*c^3*d^2*e^3*f^2 + 16*a^5*b*c*d^4*f^5 - 16*a^5*b*d^5*e*f^4 + 20*a^2*b^4*c^4*d*f^5 + 35*b^6*c^4*d*e^2*f^3 - 92*a^4*b^2*c*d^4*e*f^4 + 15*a*b^5*c^2*d^3*e^3*f^2 + 25*a*b^5*c^3*d^2*e^2*f^3 + 15*a^2*b^4*c*d^4*e^3*f^2 + 120*a^2*b^4*c^3*d^2*e*f^4 + 63*a^3*b^3*c*d^4*e^2*f^3 + 68*a^3*b^3*c^2*d^3*e*f^4 - 60*a*b^5*c^4*d*e*f^4 - 155*a^2*b^4*c^2*d^3*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) + (1024*((a + b*x)^(1/2) - a^(1/2))^2*(176*a^(5/2)*b^3*c^(7/2)*d^2*f^5 + 40*a^(7/2)*b^2*c^(5/2)*d^3*f^5 - 120*a^(3/2)*b^4*c^(9/2)*d*f^5 - 96*a^(9/2)*b*c^(3/2)*d^4*f^5 + 120*a^(1/2)*b^5*c^(9/2)*d*e*f^4 + 96*a^(9/2)*b*c^(1/2)*d^5*e*f^4 + 40*a^(3/2)*b^4*c^(7/2)*d^2*e*f^4 - 408*a^(5/2)*b^3*c^(5/2)*d^3*e*f^4 + 152*a^(7/2)*b^2*c^(3/2)*d^4*e*f^4 + 90*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f^2 - 180*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f^2 + 90*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f^2 - 210*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^3 + 260*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^3 + 142*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^3 - 192*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^3))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) + (2048*((a + b*x)^(1/2) - a^(1/2))*(4*a^(3/2)*b^4*c^(9/2)*d*f^4 - 52*a^(5/2)*b^3*c^(7/2)*d^2*f^4 - 28*a^(7/2)*b^2*c^(5/2)*d^3*f^4 - 36*a^(1/2)*b^5*c^(11/2)*f^4 - 32*a^(9/2)*b*c^(3/2)*d^4*f^4 + 114*a^(1/2)*b^5*c^(9/2)*d*e*f^3 + 32*a^(9/2)*b*c^(1/2)*d^5*e*f^3 + 42*a^(1/2)*b^5*c^(5/2)*d^3*e^3*f + 60*a^(3/2)*b^4*c^(3/2)*d^4*e^3*f + 42*a^(5/2)*b^3*c^(1/2)*d^5*e^3*f + 44*a^(3/2)*b^4*c^(7/2)*d^2*e*f^3 + 130*a^(5/2)*b^3*c^(5/2)*d^3*e*f^3 + 112*a^(7/2)*b^2*c^(3/2)*d^4*e*f^3 - 116*a^(1/2)*b^5*c^(7/2)*d^2*e^2*f^2 - 120*a^(3/2)*b^4*c^(5/2)*d^3*e^2*f^2 - 108*a^(5/2)*b^3*c^(3/2)*d^4*e^2*f^2 - 88*a^(7/2)*b^2*c^(1/2)*d^5*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^5*d^6*e*f^3 - 64*a^5*c*d^5*f^4 - 32*b^5*c^6*f^4 - 9*a^2*b^3*d^6*e^4 - 9*b^5*c^2*d^4*e^4 + 144*a^2*b^3*c^4*d^2*f^4 - 272*a^3*b^2*c^3*d^3*f^4 - 141*b^5*c^4*d^2*e^2*f^2 + 18*a*b^4*c*d^5*e^4 - 48*a*b^4*c^5*d*f^4 + 132*b^5*c^5*d*e*f^3 + 128*a^4*b*c^2*d^4*f^4 + 36*a^3*b^2*d^6*e^3*f - 96*a^4*b*d^6*e^2*f^2 + 54*b^5*c^3*d^3*e^3*f - 36*a*b^4*c^4*d^2*e*f^3 + 54*a^2*b^3*c*d^5*e^3*f + 54*a*b^4*c^3*d^3*e^2*f^2 + 84*a^2*b^3*c^3*d^3*e*f^3 + 12*a^3*b^2*c*d^5*e^2*f^2 + 220*a^3*b^2*c^2*d^4*e*f^3 - 32*a^4*b*c*d^5*e*f^3 - 261*a^2*b^3*c^2*d^4*e^2*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (1024*((a + b*x)^(1/2) - a^(1/2))^2*(72*a^(1/2)*b^4*c^(5/2)*d^4*e^3 - 240*a^(3/2)*b^3*c^(3/2)*d^5*e^3 + 72*a^(5/2)*b^2*c^(1/2)*d^6*e^3 + 144*a^(3/2)*b^3*c^(9/2)*d^2*f^3 + 168*a^(5/2)*b^2*c^(7/2)*d^3*f^3 - 120*a^(1/2)*b^4*c^(11/2)*d*f^3 - 96*a^(7/2)*b*c^(5/2)*d^4*f^3 - 96*a^(7/2)*b*c^(1/2)*d^6*e^2*f + 192*a^(7/2)*b*c^(3/2)*d^5*e*f^2 - 288*a^(1/2)*b^4*c^(7/2)*d^3*e^2*f + 672*a^(3/2)*b^3*c^(5/2)*d^4*e^2*f + 336*a^(1/2)*b^4*c^(9/2)*d^2*e*f^2 - 576*a^(3/2)*b^3*c^(7/2)*d^3*e*f^2 - 240*a^(5/2)*b^2*c^(5/2)*d^4*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2) + (2048*((a + b*x)^(1/2) - a^(1/2))*(12*a^3*b^2*d^6*e^3 - 20*b^5*c^6*f^3 + 12*b^5*c^3*d^3*e^3 + 164*a^2*b^3*c^4*d^2*f^3 + 4*a^3*b^2*c^3*d^3*f^3 - 36*a*b^4*c^5*d*f^3 - 16*a^4*b*d^6*e^2*f + 56*b^5*c^5*d*e*f^2 - 60*a*b^4*c^2*d^4*e^3 - 60*a^2*b^3*c*d^5*e^3 - 16*a^4*b*c^2*d^4*f^3 - 48*b^5*c^4*d^2*e^2*f + 72*a*b^4*c^3*d^3*e^2*f + 24*a*b^4*c^4*d^2*e*f^2 - 40*a^3*b^2*c*d^5*e^2*f + 320*a^2*b^3*c^2*d^4*e^2*f - 424*a^2*b^3*c^3*d^3*e*f^2 + 24*a^3*b^2*c^2*d^4*e*f^2 + 32*a^4*b*c*d^5*e*f^2))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2)))))/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2)) - (4096*((a + b*x)^(1/2) - a^(1/2))*(24*a^(1/2)*b^4*c^(7/2)*d^3*e^2 + 16*a^(3/2)*b^3*c^(5/2)*d^4*e^2 - 72*a^(5/2)*b^2*c^(3/2)*d^5*e^2 + 16*a^(3/2)*b^3*c^(9/2)*d^2*f^2 - 72*a^(5/2)*b^2*c^(7/2)*d^3*f^2 + 32*a^(7/2)*b*c^(1/2)*d^6*e^2 + 24*a^(1/2)*b^4*c^(11/2)*d*f^2 + 32*a^(7/2)*b*c^(5/2)*d^4*f^2 - 48*a^(1/2)*b^4*c^(9/2)*d^2*e*f - 32*a^(3/2)*b^3*c^(7/2)*d^3*e*f + 144*a^(5/2)*b^2*c^(5/2)*d^4*e*f - 64*a^(7/2)*b*c^(3/2)*d^5*e*f))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))) + (2048*((a + b*x)^(1/2) - a^(1/2))^2*(64*a^4*d^7*e^2 + 36*b^4*c^6*d*f^2 + 64*a^4*c^2*d^5*f^2 + 36*b^4*c^4*d^3*e^2 - 128*a^4*c*d^6*e*f + 132*a^2*b^2*c^2*d^5*e^2 + 132*a^2*b^2*c^4*d^3*f^2 - 160*a^3*b*c*d^6*e^2 - 72*b^4*c^5*d^2*e*f - 72*a*b^3*c^3*d^4*e^2 - 72*a*b^3*c^5*d^2*f^2 - 160*a^3*b*c^3*d^4*f^2 - 264*a^2*b^2*c^3*d^4*e*f + 144*a*b^3*c^4*d^3*e*f + 320*a^3*b*c^2*d^5*e*f))/(d^11*e^6*((c + d*x)^(1/2) - c^(1/2))^2)))*(c*f - d*e)*2i)/(f*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)^(1/2))","B"
2301,1,708,106,11.175893,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^(1/2),x)","\frac{525371\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{320000}-\frac{\frac{204911\,{\left(\sqrt{1-2\,x}-1\right)}^3}{39062500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{498629\,\left(\sqrt{1-2\,x}-1\right)}{97656250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{116866071\,{\left(\sqrt{1-2\,x}-1\right)}^5}{78125000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{264903917\,{\left(\sqrt{1-2\,x}-1\right)}^7}{31250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{264903917\,{\left(\sqrt{1-2\,x}-1\right)}^9}{12500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{116866071\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{5000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{204911\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{400000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{498629\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{160000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{2048\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{86016\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{623616\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{1223168\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{155904\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}-\frac{5376\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{32\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{1024\,{\left(\sqrt{1-2\,x}-1\right)}^2}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^6}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{224\,{\left(\sqrt{1-2\,x}-1\right)}^8}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{448\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{112\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{16\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{256}{390625}}","Not used",1,"(525371*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/320000 - ((204911*((1 - 2*x)^(1/2) - 1)^3)/(39062500*(3^(1/2) - (5*x + 3)^(1/2))^3) - (498629*((1 - 2*x)^(1/2) - 1))/(97656250*(3^(1/2) - (5*x + 3)^(1/2))) + (116866071*((1 - 2*x)^(1/2) - 1)^5)/(78125000*(3^(1/2) - (5*x + 3)^(1/2))^5) - (264903917*((1 - 2*x)^(1/2) - 1)^7)/(31250000*(3^(1/2) - (5*x + 3)^(1/2))^7) + (264903917*((1 - 2*x)^(1/2) - 1)^9)/(12500000*(3^(1/2) - (5*x + 3)^(1/2))^9) - (116866071*((1 - 2*x)^(1/2) - 1)^11)/(5000000*(3^(1/2) - (5*x + 3)^(1/2))^11) - (204911*((1 - 2*x)^(1/2) - 1)^13)/(400000*(3^(1/2) - (5*x + 3)^(1/2))^13) + (498629*((1 - 2*x)^(1/2) - 1)^15)/(160000*(3^(1/2) - (5*x + 3)^(1/2))^15) + (2048*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^2) - (86016*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (623616*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (1223168*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (155904*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^10) - (5376*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (32*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(5*(3^(1/2) - (5*x + 3)^(1/2))^14))/((1024*((1 - 2*x)^(1/2) - 1)^2)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1792*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (1792*((1 - 2*x)^(1/2) - 1)^6)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (224*((1 - 2*x)^(1/2) - 1)^8)/(125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (448*((1 - 2*x)^(1/2) - 1)^10)/(125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (112*((1 - 2*x)^(1/2) - 1)^12)/(25*(3^(1/2) - (5*x + 3)^(1/2))^12) + (16*((1 - 2*x)^(1/2) - 1)^14)/(5*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 + 256/390625)","B"
2302,1,534,99,7.774225,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^(1/2),x)","\frac{3047\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{4000}-\frac{\frac{20253\,{\left(\sqrt{1-2\,x}-1\right)}^3}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{6706\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{9913\,{\left(\sqrt{1-2\,x}-1\right)}^5}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{9913\,{\left(\sqrt{1-2\,x}-1\right)}^7}{31250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{20253\,{\left(\sqrt{1-2\,x}-1\right)}^9}{5000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{3353\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{2000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{512\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{6784\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{49536\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{1696\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{32\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{192\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{48\,{\left(\sqrt{1-2\,x}-1\right)}^4}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^8}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{64}{15625}}","Not used",1,"(3047*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/4000 - ((20253*((1 - 2*x)^(1/2) - 1)^3)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (6706*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) - (9913*((1 - 2*x)^(1/2) - 1)^5)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^5) + (9913*((1 - 2*x)^(1/2) - 1)^7)/(31250*(3^(1/2) - (5*x + 3)^(1/2))^7) - (20253*((1 - 2*x)^(1/2) - 1)^9)/(5000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (3353*((1 - 2*x)^(1/2) - 1)^11)/(2000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (512*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (6784*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (49536*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (1696*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (32*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10))/((192*((1 - 2*x)^(1/2) - 1)^2)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (48*((1 - 2*x)^(1/2) - 1)^4)/(125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (32*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + (12*((1 - 2*x)^(1/2) - 1)^8)/(5*(3^(1/2) - (5*x + 3)^(1/2))^8) + (12*((1 - 2*x)^(1/2) - 1)^10)/(5*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 + 64/15625)","B"
2303,1,550,72,12.272702,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^(1/2),x)","\frac{\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^3}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{8\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{32\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}}{\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}}-\frac{\frac{2427\,{\left(\sqrt{1-2\,x}-1\right)}^3}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{858\,\left(\sqrt{1-2\,x}-1\right)}{15625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2427\,{\left(\sqrt{1-2\,x}-1\right)}^5}{1250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{429\,{\left(\sqrt{1-2\,x}-1\right)}^7}{500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{96\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{672\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{24\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^2}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{24\,{\left(\sqrt{1-2\,x}-1\right)}^4}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{8\,{\left(\sqrt{1-2\,x}-1\right)}^6}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{16}{625}}-\frac{429\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{1000}+\frac{22\,\sqrt{2}\,\sqrt{5}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{5}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{25}","Not used",1,"((4*((1 - 2*x)^(1/2) - 1)^3)/(25*(3^(1/2) - (5*x + 3)^(1/2))^3) - (8*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) + (32*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2))/((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25) - ((2427*((1 - 2*x)^(1/2) - 1)^3)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (858*((1 - 2*x)^(1/2) - 1))/(15625*(3^(1/2) - (5*x + 3)^(1/2))) - (2427*((1 - 2*x)^(1/2) - 1)^5)/(1250*(3^(1/2) - (5*x + 3)^(1/2))^5) + (429*((1 - 2*x)^(1/2) - 1)^7)/(500*(3^(1/2) - (5*x + 3)^(1/2))^7) + (96*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (672*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (24*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6))/((32*((1 - 2*x)^(1/2) - 1)^2)/(125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (24*((1 - 2*x)^(1/2) - 1)^4)/(25*(3^(1/2) - (5*x + 3)^(1/2))^4) + (8*((1 - 2*x)^(1/2) - 1)^6)/(5*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 + 16/625) - (429*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/1000 + (22*2^(1/2)*5^(1/2)*atan((2^(1/2)*5^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/25","B"
2304,1,185,50,3.545053,"\text{Not used}","int((1 - 2*x)^(1/2)/(5*x + 3)^(1/2),x)","\frac{\frac{2\,{\left(\sqrt{1-2\,x}-1\right)}^3}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{4\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{16\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}}{\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}}+\frac{11\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{25}","Not used",1,"((2*((1 - 2*x)^(1/2) - 1)^3)/(25*(3^(1/2) - (5*x + 3)^(1/2))^3) - (4*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) + (16*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2))/((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25) + (11*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/25","B"
2305,1,138,64,3.559459,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^(1/2)),x)","\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{5580\,\sqrt{21}\,x+2699\,\sqrt{21}-5489\,\sqrt{35\,x+21}+649\,\sqrt{21-42\,x}+2141\,\sqrt{7}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{7400\,x-5489\,\sqrt{1-2\,x}-4543\,\sqrt{15\,x+9}+3063\,\sqrt{3}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}+9929}\right)}{3}+\frac{4\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}-\sqrt{10-20\,x}}{2\,\sqrt{3}-2\,\sqrt{5\,x+3}}\right)}{15}","Not used",1,"(2*7^(1/2)*atan((5580*21^(1/2)*x + 2699*21^(1/2) - 5489*(35*x + 21)^(1/2) + 649*(21 - 42*x)^(1/2) + 2141*7^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(7400*x - 5489*(1 - 2*x)^(1/2) - 4543*(15*x + 9)^(1/2) + 3063*3^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2) + 9929)))/3 + (4*10^(1/2)*atan((10^(1/2) - (10 - 20*x)^(1/2))/(2*3^(1/2) - 2*(5*x + 3)^(1/2))))/15","B"
2306,1,716,59,6.799475,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^(1/2)),x)","\frac{2\,{\left(\sqrt{1-2\,x}-1\right)}^3}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}-\frac{11\,\sqrt{7}\,\mathrm{atan}\left(\frac{2904\,\sqrt{3}\,\sqrt{7}}{875\,\left(\frac{2904\,{\left(\sqrt{1-2\,x}-1\right)}^2}{35\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{53724\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{5808}{175}\right)}+\frac{1452\,\sqrt{7}\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{2904\,{\left(\sqrt{1-2\,x}-1\right)}^2}{35\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{53724\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{5808}{175}\right)}-\frac{1452\,\sqrt{3}\,\sqrt{7}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{2904\,{\left(\sqrt{1-2\,x}-1\right)}^2}{35\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{53724\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{5808}{175}\right)}\right)}{7}-\frac{4\,\left(\sqrt{1-2\,x}-1\right)}{5\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}+\frac{37\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}","Not used",1,"(2*((1 - 2*x)^(1/2) - 1)^3)/((3^(1/2) - (5*x + 3)^(1/2))^3*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) - (11*7^(1/2)*atan((2904*3^(1/2)*7^(1/2))/(875*((2904*((1 - 2*x)^(1/2) - 1)^2)/(35*(3^(1/2) - (5*x + 3)^(1/2))^2) + (53724*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - 5808/175)) + (1452*7^(1/2)*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))*((2904*((1 - 2*x)^(1/2) - 1)^2)/(35*(3^(1/2) - (5*x + 3)^(1/2))^2) + (53724*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - 5808/175)) - (1452*3^(1/2)*7^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2*((2904*((1 - 2*x)^(1/2) - 1)^2)/(35*(3^(1/2) - (5*x + 3)^(1/2))^2) + (53724*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - 5808/175))))/7 - (4*((1 - 2*x)^(1/2) - 1))/(5*(3^(1/2) - (5*x + 3)^(1/2))*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) + (37*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25))","B"
2307,1,1037,93,12.753368,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^(1/2)),x)","\frac{\frac{18323\,{\left(\sqrt{1-2\,x}-1\right)}^5}{875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{36646\,{\left(\sqrt{1-2\,x}-1\right)}^3}{4375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{2326\,\left(\sqrt{1-2\,x}-1\right)}{4375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{1163\,{\left(\sqrt{1-2\,x}-1\right)}^7}{140\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{10607\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{4375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{3646\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{10607\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{700\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{544\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{1764\,{\left(\sqrt{1-2\,x}-1\right)}^4}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{136\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{96\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{12\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{96\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{16}{625}}-\frac{1177\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{1177\,\sqrt{7}\,\left(\frac{7062\,\sqrt{3}}{875}+\frac{3531\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{3531\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,1177{}\mathrm{i}}{392}\right)}{392}+\frac{1177\,\sqrt{7}\,\left(\frac{7062\,\sqrt{3}}{875}+\frac{3531\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{3531\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,1177{}\mathrm{i}}{392}\right)}{392}}{\frac{1385329\,{\left(\sqrt{1-2\,x}-1\right)}^2}{9800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1385329}{24500}+\frac{\sqrt{7}\,\left(\frac{7062\,\sqrt{3}}{875}+\frac{3531\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{3531\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,1177{}\mathrm{i}}{392}\right)\,1177{}\mathrm{i}}{392}-\frac{\sqrt{7}\,\left(\frac{7062\,\sqrt{3}}{875}+\frac{3531\,\left(\sqrt{1-2\,x}-1\right)}{875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{3531\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,1177{}\mathrm{i}}{392}\right)\,1177{}\mathrm{i}}{392}}\right)}{196}","Not used",1,"((18323*((1 - 2*x)^(1/2) - 1)^5)/(875*(3^(1/2) - (5*x + 3)^(1/2))^5) - (36646*((1 - 2*x)^(1/2) - 1)^3)/(4375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (2326*((1 - 2*x)^(1/2) - 1))/(4375*(3^(1/2) - (5*x + 3)^(1/2))) + (1163*((1 - 2*x)^(1/2) - 1)^7)/(140*(3^(1/2) - (5*x + 3)^(1/2))^7) + (10607*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(4375*(3^(1/2) - (5*x + 3)^(1/2))^2) - (3646*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(875*(3^(1/2) - (5*x + 3)^(1/2))^4) + (10607*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(700*(3^(1/2) - (5*x + 3)^(1/2))^6))/((544*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (1764*((1 - 2*x)^(1/2) - 1)^4)/(625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (136*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(125*(3^(1/2) - (5*x + 3)^(1/2))^5) + (12*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(5*(3^(1/2) - (5*x + 3)^(1/2))^7) - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(625*(3^(1/2) - (5*x + 3)^(1/2))) + 16/625) - (1177*7^(1/2)*atan(((1177*7^(1/2)*((7062*3^(1/2))/875 + (3531*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*1177i)/392 - (3531*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2)))/392 + (1177*7^(1/2)*((7062*3^(1/2))/875 + (3531*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*1177i)/392 - (3531*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2)))/392)/((7^(1/2)*((7062*3^(1/2))/875 + (3531*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*1177i)/392 - (3531*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2))*1177i)/392 - (7^(1/2)*((7062*3^(1/2))/875 + (3531*((1 - 2*x)^(1/2) - 1))/(875*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*1177i)/392 - (3531*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2))*1177i)/392 + (1385329*((1 - 2*x)^(1/2) - 1)^2)/(9800*(3^(1/2) - (5*x + 3)^(1/2))^2) + 1385329/24500)))/196","B"
2308,1,1273,122,13.192075,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^(1/2)),x)","\frac{\frac{41325734\,{\left(\sqrt{1-2\,x}-1\right)}^5}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{16452204\,{\left(\sqrt{1-2\,x}-1\right)}^3}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{275444\,\left(\sqrt{1-2\,x}-1\right)}{765625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{20662867\,{\left(\sqrt{1-2\,x}-1\right)}^7}{153125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{4113051\,{\left(\sqrt{1-2\,x}-1\right)}^9}{12250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{68861\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{1960\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{2068378\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1863097\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{109375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{56261214\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{1863097\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{17500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{1034189\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{9800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{5856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{4224\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{14776\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{1056\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{366\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}-\frac{7776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{34704\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{17352\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{972\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{18\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{576\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{15625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{64}{15625}}-\frac{68959\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{68959\,\sqrt{7}\,\left(\frac{206877\,\sqrt{3}}{6125}+\frac{206877\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{206877\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,68959{}\mathrm{i}}{5488}\right)}{5488}+\frac{68959\,\sqrt{7}\,\left(\frac{206877\,\sqrt{3}}{6125}+\frac{206877\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{206877\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,68959{}\mathrm{i}}{5488}\right)}{5488}}{\frac{4755343681\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1920800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{4755343681}{4802000}+\frac{\sqrt{7}\,\left(\frac{206877\,\sqrt{3}}{6125}+\frac{206877\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{206877\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,68959{}\mathrm{i}}{5488}\right)\,68959{}\mathrm{i}}{5488}-\frac{\sqrt{7}\,\left(\frac{206877\,\sqrt{3}}{6125}+\frac{206877\,\left(\sqrt{1-2\,x}-1\right)}{12250\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{206877\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{2450\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,68959{}\mathrm{i}}{5488}\right)\,68959{}\mathrm{i}}{5488}}\right)}{2744}","Not used",1,"((41325734*((1 - 2*x)^(1/2) - 1)^5)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^5) - (16452204*((1 - 2*x)^(1/2) - 1)^3)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^3) - (275444*((1 - 2*x)^(1/2) - 1))/(765625*(3^(1/2) - (5*x + 3)^(1/2))) - (20662867*((1 - 2*x)^(1/2) - 1)^7)/(153125*(3^(1/2) - (5*x + 3)^(1/2))^7) + (4113051*((1 - 2*x)^(1/2) - 1)^9)/(12250*(3^(1/2) - (5*x + 3)^(1/2))^9) + (68861*((1 - 2*x)^(1/2) - 1)^11)/(1960*(3^(1/2) - (5*x + 3)^(1/2))^11) + (2068378*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1863097*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(109375*(3^(1/2) - (5*x + 3)^(1/2))^4) - (56261214*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (1863097*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(17500*(3^(1/2) - (5*x + 3)^(1/2))^8) + (1034189*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(9800*(3^(1/2) - (5*x + 3)^(1/2))^10))/((5856*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (4224*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (14776*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (1056*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (366*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 - (7776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (34704*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^5) - (17352*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^7) + (972*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(125*(3^(1/2) - (5*x + 3)^(1/2))^9) + (18*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(5*(3^(1/2) - (5*x + 3)^(1/2))^11) - (576*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(15625*(3^(1/2) - (5*x + 3)^(1/2))) + 64/15625) - (68959*7^(1/2)*atan(((68959*7^(1/2)*((206877*3^(1/2))/6125 + (206877*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*68959i)/5488 - (206877*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2)))/5488 + (68959*7^(1/2)*((206877*3^(1/2))/6125 + (206877*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*68959i)/5488 - (206877*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2)))/5488)/((7^(1/2)*((206877*3^(1/2))/6125 + (206877*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*68959i)/5488 - (206877*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2))*68959i)/5488 - (7^(1/2)*((206877*3^(1/2))/6125 + (206877*((1 - 2*x)^(1/2) - 1))/(12250*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*68959i)/5488 - (206877*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(2450*(3^(1/2) - (5*x + 3)^(1/2))^2))*68959i)/5488 + (4755343681*((1 - 2*x)^(1/2) - 1)^2)/(1920800*(3^(1/2) - (5*x + 3)^(1/2))^2) + 4755343681/4802000)))/2744","B"
2309,1,1509,151,18.152653,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^5*(5*x + 3)^(1/2)),x)","\frac{\frac{51771207139\,{\left(\sqrt{1-2\,x}-1\right)}^7}{76562500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{90265424\,{\left(\sqrt{1-2\,x}-1\right)}^3}{2734375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{622608669\,{\left(\sqrt{1-2\,x}-1\right)}^5}{7656250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{33845362\,\left(\sqrt{1-2\,x}-1\right)}{133984375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{51771207139\,{\left(\sqrt{1-2\,x}-1\right)}^9}{30625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{622608669\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{490000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{5641589\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{1750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{16922681\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{109760\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{10154863\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3828125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{169254138\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{2734375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{8594094207\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{38281250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{143880176831\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{267968750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{8594094207\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{6125000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{84627069\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{35000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{10154863\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{15680\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{45056\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{294784\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{1921024\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{5828656\,{\left(\sqrt{1-2\,x}-1\right)}^8}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{480256\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{18424\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{704\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}-\frac{21504\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48384\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{4992\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{2496\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{6048\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{672\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{24\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{3072\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{256}{390625}}-\frac{16925425\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{16925425\,\sqrt{7}\,\left(\frac{2031051\,\sqrt{3}}{13720}+\frac{2031051\,\left(\sqrt{1-2\,x}-1\right)}{27440\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2031051\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5488\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,16925425{}\mathrm{i}}{307328}\right)}{307328}+\frac{16925425\,\sqrt{7}\,\left(\frac{2031051\,\sqrt{3}}{13720}+\frac{2031051\,\left(\sqrt{1-2\,x}-1\right)}{27440\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2031051\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5488\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,16925425{}\mathrm{i}}{307328}\right)}{307328}}{\frac{11458800457225\,{\left(\sqrt{1-2\,x}-1\right)}^2}{240945152\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{2291760091445}{120472576}+\frac{\sqrt{7}\,\left(\frac{2031051\,\sqrt{3}}{13720}+\frac{2031051\,\left(\sqrt{1-2\,x}-1\right)}{27440\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2031051\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5488\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,16925425{}\mathrm{i}}{307328}\right)\,16925425{}\mathrm{i}}{307328}-\frac{\sqrt{7}\,\left(\frac{2031051\,\sqrt{3}}{13720}+\frac{2031051\,\left(\sqrt{1-2\,x}-1\right)}{27440\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2031051\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5488\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,16925425{}\mathrm{i}}{307328}\right)\,16925425{}\mathrm{i}}{307328}}\right)}{153664}","Not used",1,"((51771207139*((1 - 2*x)^(1/2) - 1)^7)/(76562500*(3^(1/2) - (5*x + 3)^(1/2))^7) - (90265424*((1 - 2*x)^(1/2) - 1)^3)/(2734375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (622608669*((1 - 2*x)^(1/2) - 1)^5)/(7656250*(3^(1/2) - (5*x + 3)^(1/2))^5) - (33845362*((1 - 2*x)^(1/2) - 1))/(133984375*(3^(1/2) - (5*x + 3)^(1/2))) - (51771207139*((1 - 2*x)^(1/2) - 1)^9)/(30625000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (622608669*((1 - 2*x)^(1/2) - 1)^11)/(490000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (5641589*((1 - 2*x)^(1/2) - 1)^13)/(1750*(3^(1/2) - (5*x + 3)^(1/2))^13) + (16922681*((1 - 2*x)^(1/2) - 1)^15)/(109760*(3^(1/2) - (5*x + 3)^(1/2))^15) + (10154863*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3828125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (169254138*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(2734375*(3^(1/2) - (5*x + 3)^(1/2))^4) - (8594094207*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(38281250*(3^(1/2) - (5*x + 3)^(1/2))^6) + (143880176831*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(267968750*(3^(1/2) - (5*x + 3)^(1/2))^8) - (8594094207*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(6125000*(3^(1/2) - (5*x + 3)^(1/2))^10) + (84627069*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(35000*(3^(1/2) - (5*x + 3)^(1/2))^12) + (10154863*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(15680*(3^(1/2) - (5*x + 3)^(1/2))^14))/((45056*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (294784*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (1921024*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (5828656*((1 - 2*x)^(1/2) - 1)^8)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^8) - (480256*((1 - 2*x)^(1/2) - 1)^10)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^10) + (18424*((1 - 2*x)^(1/2) - 1)^12)/(625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (704*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 - (21504*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48384*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^5) - (4992*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^7) + (2496*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^9) - (6048*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(625*(3^(1/2) - (5*x + 3)^(1/2))^11) + (672*3^(1/2)*((1 - 2*x)^(1/2) - 1)^13)/(25*(3^(1/2) - (5*x + 3)^(1/2))^13) + (24*3^(1/2)*((1 - 2*x)^(1/2) - 1)^15)/(5*(3^(1/2) - (5*x + 3)^(1/2))^15) - (3072*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) + 256/390625) - (16925425*7^(1/2)*atan(((16925425*7^(1/2)*((2031051*3^(1/2))/13720 + (2031051*((1 - 2*x)^(1/2) - 1))/(27440*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*16925425i)/307328 - (2031051*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5488*(3^(1/2) - (5*x + 3)^(1/2))^2)))/307328 + (16925425*7^(1/2)*((2031051*3^(1/2))/13720 + (2031051*((1 - 2*x)^(1/2) - 1))/(27440*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*16925425i)/307328 - (2031051*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5488*(3^(1/2) - (5*x + 3)^(1/2))^2)))/307328)/((7^(1/2)*((2031051*3^(1/2))/13720 + (2031051*((1 - 2*x)^(1/2) - 1))/(27440*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*16925425i)/307328 - (2031051*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5488*(3^(1/2) - (5*x + 3)^(1/2))^2))*16925425i)/307328 - (7^(1/2)*((2031051*3^(1/2))/13720 + (2031051*((1 - 2*x)^(1/2) - 1))/(27440*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*16925425i)/307328 - (2031051*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5488*(3^(1/2) - (5*x + 3)^(1/2))^2))*16925425i)/307328 + (11458800457225*((1 - 2*x)^(1/2) - 1)^2)/(240945152*(3^(1/2) - (5*x + 3)^(1/2))^2) + 2291760091445/120472576)))/153664","B"
2310,0,-1,113,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^(3/2), x)","F"
2311,0,-1,94,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^(3/2), x)","F"
2312,0,-1,72,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,\left(3\,x+2\right)}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^(3/2), x)","F"
2313,0,-1,52,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/(5*x + 3)^(3/2), x)","F"
2314,0,-1,53,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^(3/2)), x)","F"
2315,0,-1,84,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^(3/2)), x)","F"
2316,0,-1,115,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^(3/2)), x)","F"
2317,0,-1,144,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^(3/2)), x)","F"
2318,0,-1,142,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^4)/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^4)/(5*x + 3)^(5/2), x)","F"
2319,0,-1,113,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^3)/(5*x + 3)^(5/2), x)","F"
2320,0,-1,94,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^2)/(5*x + 3)^(5/2), x)","F"
2321,0,-1,74,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,\left(3\,x+2\right)}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2))/(5*x + 3)^(5/2), x)","F"
2322,1,38,22,2.056137,"\text{Not used}","int((1 - 2*x)^(1/2)/(5*x + 3)^(5/2),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{4\,x\,\sqrt{1-2\,x}}{825}-\frac{2\,\sqrt{1-2\,x}}{825}\right)}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"((5*x + 3)^(1/2)*((4*x*(1 - 2*x)^(1/2))/825 - (2*(1 - 2*x)^(1/2))/825))/((6*x)/5 + x^2 + 9/25)","B"
2323,0,-1,75,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)*(5*x + 3)^(5/2)), x)","F"
2324,0,-1,103,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^2*(5*x + 3)^(5/2)), x)","F"
2325,0,-1,137,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^3*(5*x + 3)^(5/2)), x)","F"
2326,0,-1,166,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^4*(5*x + 3)^(5/2)), x)","F"
2327,0,-1,150,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(1/2), x)","F"
2328,0,-1,143,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(1/2), x)","F"
2329,0,-1,116,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(1/2), x)","F"
2330,0,-1,94,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(5*x + 3)^(1/2), x)","F"
2331,0,-1,106,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2), x)","F"
2332,0,-1,115,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^2,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^2, x)","F"
2333,0,-1,120,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^3,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^3, x)","F"
2334,0,-1,122,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^4,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^4, x)","F"
2335,0,-1,151,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^5,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^5, x)","F"
2336,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^6,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^6, x)","F"
2337,0,-1,172,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(3/2), x)","F"
2338,0,-1,165,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(3/2), x)","F"
2339,0,-1,138,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(3/2), x)","F"
2340,0,-1,116,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(5*x + 3)^(3/2), x)","F"
2341,0,-1,128,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2), x)","F"
2342,0,-1,135,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^2,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^2, x)","F"
2343,0,-1,142,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^3,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^3, x)","F"
2344,0,-1,149,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^4,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^4, x)","F"
2345,0,-1,151,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^5,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^5, x)","F"
2346,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^6,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^6, x)","F"
2347,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^7,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^7, x)","F"
2348,0,-1,238,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^8,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^8} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^8, x)","F"
2349,0,-1,194,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(5/2), x)","F"
2350,0,-1,187,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(5/2), x)","F"
2351,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(5/2), x)","F"
2352,0,-1,138,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(5*x + 3)^(5/2), x)","F"
2353,0,-1,150,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2), x)","F"
2354,0,-1,159,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^2,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^2, x)","F"
2355,0,-1,166,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^3,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^3, x)","F"
2356,0,-1,171,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^4,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^4, x)","F"
2357,0,-1,178,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^5,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^5, x)","F"
2358,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^6,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^6, x)","F"
2359,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^7,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^7, x)","F"
2360,0,-1,238,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^8,x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^8} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^8, x)","F"
2361,0,-1,128,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^(1/2), x)","F"
2362,0,-1,121,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^(1/2), x)","F"
2363,0,-1,94,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^(1/2), x)","F"
2364,0,-1,72,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/(5*x + 3)^(1/2), x)","F"
2365,0,-1,86,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\left(3\,x+2\right)\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^(1/2)), x)","F"
2366,0,-1,93,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^(1/2)), x)","F"
2367,0,-1,93,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^(1/2)), x)","F"
2368,0,-1,122,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^4\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^(1/2)), x)","F"
2369,0,-1,151,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^5*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^5\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^5*(5*x + 3)^(1/2)), x)","F"
2370,0,-1,180,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^6*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^6\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^6*(5*x + 3)^(1/2)), x)","F"
2371,0,-1,135,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^(3/2), x)","F"
2372,0,-1,116,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^(3/2), x)","F"
2373,0,-1,94,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^(3/2), x)","F"
2374,0,-1,74,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/(5*x + 3)^(3/2), x)","F"
2375,0,-1,86,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^(3/2)), x)","F"
2376,0,-1,79,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^(3/2)), x)","F"
2377,0,-1,115,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^(3/2)), x)","F"
2378,0,-1,144,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^(3/2)), x)","F"
2379,0,-1,173,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^5*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^5\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^5*(5*x + 3)^(3/2)), x)","F"
2380,0,-1,142,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^3)/(5*x + 3)^(5/2), x)","F"
2381,0,-1,116,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^2)/(5*x + 3)^(5/2), x)","F"
2382,0,-1,96,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2))/(5*x + 3)^(5/2), x)","F"
2383,0,-1,74,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/(5*x + 3)^(5/2), x)","F"
2384,0,-1,75,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)*(5*x + 3)^(5/2)), x)","F"
2385,0,-1,104,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^2*(5*x + 3)^(5/2)), x)","F"
2386,0,-1,137,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^3*(5*x + 3)^(5/2)), x)","F"
2387,0,-1,166,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^4*(5*x + 3)^(5/2)), x)","F"
2388,0,-1,172,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(1/2), x)","F"
2389,0,-1,165,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(1/2), x)","F"
2390,0,-1,138,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(1/2), x)","F"
2391,0,-1,116,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(5*x + 3)^(1/2), x)","F"
2392,0,-1,128,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2), x)","F"
2393,0,-1,135,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^2,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^2, x)","F"
2394,0,-1,144,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^3,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^3, x)","F"
2395,0,-1,149,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^4,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^4, x)","F"
2396,0,-1,151,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^5,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^5, x)","F"
2397,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^6,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^6, x)","F"
2398,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^7,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^7, x)","F"
2399,0,-1,194,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(3/2), x)","F"
2400,0,-1,187,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(3/2), x)","F"
2401,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(3/2), x)","F"
2402,0,-1,138,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(5*x + 3)^(3/2), x)","F"
2403,0,-1,150,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2), x)","F"
2404,0,-1,157,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^2,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^2, x)","F"
2405,0,-1,164,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^3,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^3, x)","F"
2406,0,-1,171,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^4,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^4, x)","F"
2407,0,-1,178,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^5,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^5, x)","F"
2408,0,-1,180,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^6,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^6, x)","F"
2409,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^7,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^7, x)","F"
2410,0,-1,238,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^8,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^8} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^8, x)","F"
2411,0,-1,216,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(5/2), x)","F"
2412,0,-1,209,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(5/2), x)","F"
2413,0,-1,182,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(5/2), x)","F"
2414,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(5*x + 3)^(5/2), x)","F"
2415,0,-1,172,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{3\,x+2} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2), x)","F"
2416,0,-1,179,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^2,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^2, x)","F"
2417,0,-1,188,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^3,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^3, x)","F"
2418,0,-1,195,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^4,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^4, x)","F"
2419,0,-1,200,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^5,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^5, x)","F"
2420,0,-1,207,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^6,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^6, x)","F"
2421,0,-1,209,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^7,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^7, x)","F"
2422,0,-1,238,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^8,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^8} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^8, x)","F"
2423,0,-1,267,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^9,x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^9} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^9, x)","F"
2424,0,-1,179,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^(1/2), x)","F"
2425,0,-1,150,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^(1/2), x)","F"
2426,0,-1,143,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^(1/2), x)","F"
2427,0,-1,116,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^(1/2), x)","F"
2428,0,-1,94,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/(5*x + 3)^(1/2), x)","F"
2429,0,-1,106,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\left(3\,x+2\right)\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^(1/2)), x)","F"
2430,0,-1,115,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^(1/2)), x)","F"
2431,0,-1,122,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^(1/2)), x)","F"
2432,0,-1,122,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^4\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^(1/2)), x)","F"
2433,0,-1,151,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^5\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^(1/2)), x)","F"
2434,0,-1,180,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^6\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^(1/2)), x)","F"
2435,0,-1,209,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^7*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^7\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^7*(5*x + 3)^(1/2)), x)","F"
2436,0,-1,186,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^(3/2), x)","F"
2437,0,-1,157,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^(3/2), x)","F"
2438,0,-1,138,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^(3/2), x)","F"
2439,0,-1,116,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^(3/2), x)","F"
2440,0,-1,94,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/(5*x + 3)^(3/2), x)","F"
2441,0,-1,108,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^(3/2)), x)","F"
2442,0,-1,115,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^(3/2)), x)","F"
2443,0,-1,115,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^(3/2)), x)","F"
2444,0,-1,144,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^(3/2)), x)","F"
2445,0,-1,173,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^5\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^(3/2)), x)","F"
2446,0,-1,202,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^6\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^(3/2)), x)","F"
2447,0,-1,193,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^4)/(5*x + 3)^(5/2), x)","F"
2448,0,-1,164,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^3)/(5*x + 3)^(5/2), x)","F"
2449,0,-1,138,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^2)/(5*x + 3)^(5/2), x)","F"
2450,0,-1,116,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2))/(5*x + 3)^(5/2), x)","F"
2451,0,-1,96,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/(5*x + 3)^(5/2), x)","F"
2452,0,-1,108,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)*(5*x + 3)^(5/2)), x)","F"
2453,0,-1,101,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^2*(5*x + 3)^(5/2)), x)","F"
2454,0,-1,137,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^3*(5*x + 3)^(5/2)), x)","F"
2455,0,-1,166,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^4*(5*x + 3)^(5/2)), x)","F"
2456,0,-1,195,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^5\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^5*(5*x + 3)^(5/2)), x)","F"
2457,0,-1,224,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^6\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^6*(5*x + 3)^(5/2)), x)","F"
2458,1,882,135,14.328133,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\frac{1067352517\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{12800000}-\frac{\frac{821592517\,\left(\sqrt{1-2\,x}-1\right)}{24414062500\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1047293669\,{\left(\sqrt{1-2\,x}-1\right)}^3}{9765625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{47930155877\,{\left(\sqrt{1-2\,x}-1\right)}^5}{4882812500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{3319241183\,{\left(\sqrt{1-2\,x}-1\right)}^7}{390625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{7192921169\,{\left(\sqrt{1-2\,x}-1\right)}^9}{312500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{7192921169\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{125000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{3319241183\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{25000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{47930155877\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{50000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{1047293669\,{\left(\sqrt{1-2\,x}-1\right)}^{17}}{16000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{17}}-\frac{821592517\,{\left(\sqrt{1-2\,x}-1\right)}^{19}}{6400000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{19}}+\frac{753664\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1359872\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{54837248\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{768075776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{9765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{721424384\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{1953125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{192018944\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{3427328\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{21248\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{2944\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}}{\frac{1024\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{2304\,{\left(\sqrt{1-2\,x}-1\right)}^4}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{3072\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{2688\,{\left(\sqrt{1-2\,x}-1\right)}^8}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{8064\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{672\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{192\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{36\,{\left(\sqrt{1-2\,x}-1\right)}^{16}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^{18}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{18}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{20}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{20}}+\frac{1024}{9765625}}","Not used",1,"(1067352517*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/12800000 - ((821592517*((1 - 2*x)^(1/2) - 1))/(24414062500*(3^(1/2) - (5*x + 3)^(1/2))) - (1047293669*((1 - 2*x)^(1/2) - 1)^3)/(9765625000*(3^(1/2) - (5*x + 3)^(1/2))^3) - (47930155877*((1 - 2*x)^(1/2) - 1)^5)/(4882812500*(3^(1/2) - (5*x + 3)^(1/2))^5) - (3319241183*((1 - 2*x)^(1/2) - 1)^7)/(390625000*(3^(1/2) - (5*x + 3)^(1/2))^7) - (7192921169*((1 - 2*x)^(1/2) - 1)^9)/(312500000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (7192921169*((1 - 2*x)^(1/2) - 1)^11)/(125000000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (3319241183*((1 - 2*x)^(1/2) - 1)^13)/(25000000*(3^(1/2) - (5*x + 3)^(1/2))^13) + (47930155877*((1 - 2*x)^(1/2) - 1)^15)/(50000000*(3^(1/2) - (5*x + 3)^(1/2))^15) + (1047293669*((1 - 2*x)^(1/2) - 1)^17)/(16000000*(3^(1/2) - (5*x + 3)^(1/2))^17) - (821592517*((1 - 2*x)^(1/2) - 1)^19)/(6400000*(3^(1/2) - (5*x + 3)^(1/2))^19) + (753664*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1359872*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (54837248*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (768075776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(9765625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (721424384*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(1953125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (192018944*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (3427328*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^14) + (21248*3^(1/2)*((1 - 2*x)^(1/2) - 1)^16)/(25*(3^(1/2) - (5*x + 3)^(1/2))^16) + (2944*3^(1/2)*((1 - 2*x)^(1/2) - 1)^18)/(25*(3^(1/2) - (5*x + 3)^(1/2))^18))/((1024*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (2304*((1 - 2*x)^(1/2) - 1)^4)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (3072*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (2688*((1 - 2*x)^(1/2) - 1)^8)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (8064*((1 - 2*x)^(1/2) - 1)^10)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (672*((1 - 2*x)^(1/2) - 1)^12)/(125*(3^(1/2) - (5*x + 3)^(1/2))^12) + (192*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14) + (36*((1 - 2*x)^(1/2) - 1)^16)/(5*(3^(1/2) - (5*x + 3)^(1/2))^16) + (4*((1 - 2*x)^(1/2) - 1)^18)/(3^(1/2) - (5*x + 3)^(1/2))^18 + ((1 - 2*x)^(1/2) - 1)^20/(3^(1/2) - (5*x + 3)^(1/2))^20 + 1024/9765625)","B"
2459,1,708,106,11.582037,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\frac{677017\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{25600}-\frac{\frac{431257\,\left(\sqrt{1-2\,x}-1\right)}{7812500\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{418991\,{\left(\sqrt{1-2\,x}-1\right)}^3}{625000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{284249727\,{\left(\sqrt{1-2\,x}-1\right)}^5}{31250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{157157861\,{\left(\sqrt{1-2\,x}-1\right)}^7}{12500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{157157861\,{\left(\sqrt{1-2\,x}-1\right)}^9}{5000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{284249727\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{2000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{418991\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{6400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}-\frac{431257\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{12800\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{75776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{2039808\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{8020992\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{5040128\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{2005248\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{127488\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{1184\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{1024\,{\left(\sqrt{1-2\,x}-1\right)}^2}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^6}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{224\,{\left(\sqrt{1-2\,x}-1\right)}^8}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{448\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{112\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{16\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{256}{390625}}","Not used",1,"(677017*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/25600 - ((431257*((1 - 2*x)^(1/2) - 1))/(7812500*(3^(1/2) - (5*x + 3)^(1/2))) - (418991*((1 - 2*x)^(1/2) - 1)^3)/(625000*(3^(1/2) - (5*x + 3)^(1/2))^3) - (284249727*((1 - 2*x)^(1/2) - 1)^5)/(31250000*(3^(1/2) - (5*x + 3)^(1/2))^5) + (157157861*((1 - 2*x)^(1/2) - 1)^7)/(12500000*(3^(1/2) - (5*x + 3)^(1/2))^7) - (157157861*((1 - 2*x)^(1/2) - 1)^9)/(5000000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (284249727*((1 - 2*x)^(1/2) - 1)^11)/(2000000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (418991*((1 - 2*x)^(1/2) - 1)^13)/(6400*(3^(1/2) - (5*x + 3)^(1/2))^13) - (431257*((1 - 2*x)^(1/2) - 1)^15)/(12800*(3^(1/2) - (5*x + 3)^(1/2))^15) + (75776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (2039808*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (8020992*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (5040128*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (2005248*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^10) + (127488*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (1184*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14))/((1024*((1 - 2*x)^(1/2) - 1)^2)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1792*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (1792*((1 - 2*x)^(1/2) - 1)^6)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (224*((1 - 2*x)^(1/2) - 1)^8)/(125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (448*((1 - 2*x)^(1/2) - 1)^10)/(125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (112*((1 - 2*x)^(1/2) - 1)^12)/(25*(3^(1/2) - (5*x + 3)^(1/2))^12) + (16*((1 - 2*x)^(1/2) - 1)^14)/(5*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 + 256/390625)","B"
2460,1,534,99,7.452385,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\frac{68959\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{8000}-\frac{\frac{30559\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{248379\,{\left(\sqrt{1-2\,x}-1\right)}^3}{156250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{70541\,{\left(\sqrt{1-2\,x}-1\right)}^5}{31250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{70541\,{\left(\sqrt{1-2\,x}-1\right)}^7}{12500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{248379\,{\left(\sqrt{1-2\,x}-1\right)}^9}{10000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{30559\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{4000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{7168\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{95104\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{32256\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{23776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{448\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{192\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{48\,{\left(\sqrt{1-2\,x}-1\right)}^4}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^8}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{64}{15625}}","Not used",1,"(68959*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/8000 - ((30559*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) - (248379*((1 - 2*x)^(1/2) - 1)^3)/(156250*(3^(1/2) - (5*x + 3)^(1/2))^3) - (70541*((1 - 2*x)^(1/2) - 1)^5)/(31250*(3^(1/2) - (5*x + 3)^(1/2))^5) + (70541*((1 - 2*x)^(1/2) - 1)^7)/(12500*(3^(1/2) - (5*x + 3)^(1/2))^7) + (248379*((1 - 2*x)^(1/2) - 1)^9)/(10000*(3^(1/2) - (5*x + 3)^(1/2))^9) - (30559*((1 - 2*x)^(1/2) - 1)^11)/(4000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (7168*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (95104*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (32256*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (23776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (448*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10))/((192*((1 - 2*x)^(1/2) - 1)^2)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (48*((1 - 2*x)^(1/2) - 1)^4)/(125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (32*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + (12*((1 - 2*x)^(1/2) - 1)^8)/(5*(3^(1/2) - (5*x + 3)^(1/2))^8) + (12*((1 - 2*x)^(1/2) - 1)^10)/(5*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 + 64/15625)","B"
2461,1,509,72,12.096789,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\frac{1177\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{400}-\frac{\frac{297\,\left(\sqrt{1-2\,x}-1\right)}{3125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{2559\,{\left(\sqrt{1-2\,x}-1\right)}^3}{1250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{2559\,{\left(\sqrt{1-2\,x}-1\right)}^5}{500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{297\,{\left(\sqrt{1-2\,x}-1\right)}^7}{200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{288\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{192\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{72\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^2}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{24\,{\left(\sqrt{1-2\,x}-1\right)}^4}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{8\,{\left(\sqrt{1-2\,x}-1\right)}^6}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{16}{625}}-\frac{\frac{2\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{4\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{16\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}}{\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}}","Not used",1,"(1177*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/400 - ((297*((1 - 2*x)^(1/2) - 1))/(3125*(3^(1/2) - (5*x + 3)^(1/2))) - (2559*((1 - 2*x)^(1/2) - 1)^3)/(1250*(3^(1/2) - (5*x + 3)^(1/2))^3) + (2559*((1 - 2*x)^(1/2) - 1)^5)/(500*(3^(1/2) - (5*x + 3)^(1/2))^5) - (297*((1 - 2*x)^(1/2) - 1)^7)/(200*(3^(1/2) - (5*x + 3)^(1/2))^7) + (288*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (192*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (72*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6))/((32*((1 - 2*x)^(1/2) - 1)^2)/(125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (24*((1 - 2*x)^(1/2) - 1)^4)/(25*(3^(1/2) - (5*x + 3)^(1/2))^4) + (8*((1 - 2*x)^(1/2) - 1)^6)/(5*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 + 16/625) - ((2*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (4*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + (16*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2))/((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25)","B"
2462,1,186,50,3.673209,"\text{Not used}","int((5*x + 3)^(1/2)/(1 - 2*x)^(1/2),x)","\frac{11\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{10}-\frac{\frac{{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{2\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{8\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}}{\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}}","Not used",1,"(11*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/10 - (((1 - 2*x)^(1/2) - 1)^3/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (2*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + (8*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2))/((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25)","B"
2463,1,138,62,3.859623,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)),x)","-\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{5580\,\sqrt{21}\,x+2699\,\sqrt{21}-5489\,\sqrt{35\,x+21}+649\,\sqrt{21-42\,x}+2141\,\sqrt{7}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{7400\,x-5489\,\sqrt{1-2\,x}-4543\,\sqrt{15\,x+9}+3063\,\sqrt{3}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}+9929}\right)}{21}-\frac{2\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}-\sqrt{10-20\,x}}{2\,\sqrt{3}-2\,\sqrt{5\,x+3}}\right)}{3}","Not used",1,"- (2*7^(1/2)*atan((5580*21^(1/2)*x + 2699*21^(1/2) - 5489*(35*x + 21)^(1/2) + 649*(21 - 42*x)^(1/2) + 2141*7^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(7400*x - 5489*(1 - 2*x)^(1/2) - 4543*(15*x + 9)^(1/2) + 3063*3^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2) + 9929)))/21 - (2*10^(1/2)*atan((10^(1/2) - (10 - 20*x)^(1/2))/(2*3^(1/2) - 2*(5*x + 3)^(1/2))))/3","B"
2464,1,716,64,6.952579,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^2),x)","\frac{4\,\left(\sqrt{1-2\,x}-1\right)}{35\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}-\frac{2\,{\left(\sqrt{1-2\,x}-1\right)}^3}{7\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}-\frac{11\,\sqrt{7}\,\mathrm{atan}\left(\frac{2904\,\sqrt{3}\,\sqrt{7}}{42875\,\left(\frac{2904\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1715\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{53724\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{5808}{8575}\right)}+\frac{1452\,\sqrt{7}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{2904\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1715\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{53724\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{5808}{8575}\right)}-\frac{1452\,\sqrt{3}\,\sqrt{7}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{8575\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{2904\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1715\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{53724\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{5808}{8575}\right)}\right)}{49}-\frac{37\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}","Not used",1,"(4*((1 - 2*x)^(1/2) - 1))/(35*(3^(1/2) - (5*x + 3)^(1/2))*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) - (2*((1 - 2*x)^(1/2) - 1)^3)/(7*(3^(1/2) - (5*x + 3)^(1/2))^3*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) - (11*7^(1/2)*atan((2904*3^(1/2)*7^(1/2))/(42875*((2904*((1 - 2*x)^(1/2) - 1)^2)/(1715*(3^(1/2) - (5*x + 3)^(1/2))^2) + (53724*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))) - 5808/8575)) + (1452*7^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))*((2904*((1 - 2*x)^(1/2) - 1)^2)/(1715*(3^(1/2) - (5*x + 3)^(1/2))^2) + (53724*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))) - 5808/8575)) - (1452*3^(1/2)*7^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(8575*(3^(1/2) - (5*x + 3)^(1/2))^2*((2904*((1 - 2*x)^(1/2) - 1)^2)/(1715*(3^(1/2) - (5*x + 3)^(1/2))^2) + (53724*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))) - 5808/8575))))/49 - (37*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25))","B"
2465,1,1037,93,13.132346,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^3),x)","\frac{\frac{199\,{\left(\sqrt{1-2\,x}-1\right)}^5}{245\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{398\,{\left(\sqrt{1-2\,x}-1\right)}^3}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{314\,\left(\sqrt{1-2\,x}-1\right)}{30625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{157\,{\left(\sqrt{1-2\,x}-1\right)}^7}{980\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{2197\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{30625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{4276\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{30625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{2197\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{4900\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{544\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{1764\,{\left(\sqrt{1-2\,x}-1\right)}^4}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{136\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{96\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{12\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{96\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{16}{625}}-\frac{451\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{451\,\sqrt{7}\,\left(\frac{2706\,\sqrt{3}}{6125}+\frac{1353\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1353\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,451{}\mathrm{i}}{2744}\right)}{2744}+\frac{451\,\sqrt{7}\,\left(\frac{2706\,\sqrt{3}}{6125}+\frac{1353\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1353\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,451{}\mathrm{i}}{2744}\right)}{2744}}{\frac{203401\,{\left(\sqrt{1-2\,x}-1\right)}^2}{480200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{203401}{1200500}+\frac{\sqrt{7}\,\left(\frac{2706\,\sqrt{3}}{6125}+\frac{1353\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1353\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,451{}\mathrm{i}}{2744}\right)\,451{}\mathrm{i}}{2744}-\frac{\sqrt{7}\,\left(\frac{2706\,\sqrt{3}}{6125}+\frac{1353\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{1353\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,451{}\mathrm{i}}{2744}\right)\,451{}\mathrm{i}}{2744}}\right)}{1372}","Not used",1,"((199*((1 - 2*x)^(1/2) - 1)^5)/(245*(3^(1/2) - (5*x + 3)^(1/2))^5) - (398*((1 - 2*x)^(1/2) - 1)^3)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^3) - (314*((1 - 2*x)^(1/2) - 1))/(30625*(3^(1/2) - (5*x + 3)^(1/2))) + (157*((1 - 2*x)^(1/2) - 1)^7)/(980*(3^(1/2) - (5*x + 3)^(1/2))^7) + (2197*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(30625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (4276*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(30625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (2197*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(4900*(3^(1/2) - (5*x + 3)^(1/2))^6))/((544*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (1764*((1 - 2*x)^(1/2) - 1)^4)/(625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (136*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(125*(3^(1/2) - (5*x + 3)^(1/2))^5) + (12*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(5*(3^(1/2) - (5*x + 3)^(1/2))^7) - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(625*(3^(1/2) - (5*x + 3)^(1/2))) + 16/625) - (451*7^(1/2)*atan(((451*7^(1/2)*((2706*3^(1/2))/6125 + (1353*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*451i)/2744 - (1353*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2)))/2744 + (451*7^(1/2)*((2706*3^(1/2))/6125 + (1353*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*451i)/2744 - (1353*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2)))/2744)/((7^(1/2)*((2706*3^(1/2))/6125 + (1353*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*451i)/2744 - (1353*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2))*451i)/2744 - (7^(1/2)*((2706*3^(1/2))/6125 + (1353*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*451i)/2744 - (1353*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2))*451i)/2744 + (203401*((1 - 2*x)^(1/2) - 1)^2)/(480200*(3^(1/2) - (5*x + 3)^(1/2))^2) + 203401/1200500)))/1372","B"
2466,1,1273,122,13.689982,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^4),x)","\frac{\frac{8498458\,{\left(\sqrt{1-2\,x}-1\right)}^5}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{3429372\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{52708\,\left(\sqrt{1-2\,x}-1\right)}{5359375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{4249229\,{\left(\sqrt{1-2\,x}-1\right)}^7}{1071875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{857343\,{\left(\sqrt{1-2\,x}-1\right)}^9}{85750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{13177\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{13720\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{418634\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{399977\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{12159864\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{399977\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{122500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{209317\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{68600\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{5856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{4224\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{14776\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{1056\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{366\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}-\frac{7776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{34704\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{17352\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{972\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{18\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{576\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{15625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{64}{15625}}-\frac{15235\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{15235\,\sqrt{7}\,\left(\frac{9141\,\sqrt{3}}{8575}+\frac{9141\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{9141\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,15235{}\mathrm{i}}{38416}\right)}{38416}+\frac{15235\,\sqrt{7}\,\left(\frac{9141\,\sqrt{3}}{8575}+\frac{9141\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{9141\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,15235{}\mathrm{i}}{38416}\right)}{38416}}{\frac{9284209\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3764768\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{9284209}{9411920}+\frac{\sqrt{7}\,\left(\frac{9141\,\sqrt{3}}{8575}+\frac{9141\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{9141\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,15235{}\mathrm{i}}{38416}\right)\,15235{}\mathrm{i}}{38416}-\frac{\sqrt{7}\,\left(\frac{9141\,\sqrt{3}}{8575}+\frac{9141\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{9141\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,15235{}\mathrm{i}}{38416}\right)\,15235{}\mathrm{i}}{38416}}\right)}{19208}","Not used",1,"((8498458*((1 - 2*x)^(1/2) - 1)^5)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^5) - (3429372*((1 - 2*x)^(1/2) - 1)^3)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (52708*((1 - 2*x)^(1/2) - 1))/(5359375*(3^(1/2) - (5*x + 3)^(1/2))) - (4249229*((1 - 2*x)^(1/2) - 1)^7)/(1071875*(3^(1/2) - (5*x + 3)^(1/2))^7) + (857343*((1 - 2*x)^(1/2) - 1)^9)/(85750*(3^(1/2) - (5*x + 3)^(1/2))^9) + (13177*((1 - 2*x)^(1/2) - 1)^11)/(13720*(3^(1/2) - (5*x + 3)^(1/2))^11) + (418634*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^2) + (399977*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (12159864*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^6) + (399977*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(122500*(3^(1/2) - (5*x + 3)^(1/2))^8) + (209317*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(68600*(3^(1/2) - (5*x + 3)^(1/2))^10))/((5856*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (4224*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (14776*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (1056*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (366*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 - (7776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (34704*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^5) - (17352*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^7) + (972*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(125*(3^(1/2) - (5*x + 3)^(1/2))^9) + (18*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(5*(3^(1/2) - (5*x + 3)^(1/2))^11) - (576*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(15625*(3^(1/2) - (5*x + 3)^(1/2))) + 64/15625) - (15235*7^(1/2)*atan(((15235*7^(1/2)*((9141*3^(1/2))/8575 + (9141*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*15235i)/38416 - (9141*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2)))/38416 + (15235*7^(1/2)*((9141*3^(1/2))/8575 + (9141*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*15235i)/38416 - (9141*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2)))/38416)/((7^(1/2)*((9141*3^(1/2))/8575 + (9141*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*15235i)/38416 - (9141*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2))*15235i)/38416 - (7^(1/2)*((9141*3^(1/2))/8575 + (9141*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*15235i)/38416 - (9141*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2))*15235i)/38416 + (9284209*((1 - 2*x)^(1/2) - 1)^2)/(3764768*(3^(1/2) - (5*x + 3)^(1/2))^2) + 9284209/9411920)))/19208","B"
2467,1,1509,151,18.536731,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^5),x)","\frac{\frac{229171111\,{\left(\sqrt{1-2\,x}-1\right)}^7}{15312500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{1983904\,{\left(\sqrt{1-2\,x}-1\right)}^3}{2734375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{13839741\,{\left(\sqrt{1-2\,x}-1\right)}^5}{7656250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{734066\,\left(\sqrt{1-2\,x}-1\right)}{133984375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{229171111\,{\left(\sqrt{1-2\,x}-1\right)}^9}{6125000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{13839741\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{490000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{61997\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{367033\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{109760\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{1111291\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{19140625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{746274\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{546875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{7569447\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{1531250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{631898231\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{53593750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{7569447\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{245000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{373137\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{7000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{1111291\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{78400\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{45056\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{294784\,{\left(\sqrt{1-2\,x}-1\right)}^4}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{1921024\,{\left(\sqrt{1-2\,x}-1\right)}^6}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{5828656\,{\left(\sqrt{1-2\,x}-1\right)}^8}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{480256\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{18424\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{704\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}-\frac{21504\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48384\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{4992\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{2496\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{6048\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{672\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}+\frac{24\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}-\frac{3072\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{256}{390625}}-\frac{375265\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{375265\,\sqrt{7}\,\left(\frac{225159\,\sqrt{3}}{68600}+\frac{225159\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{225159\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,375265{}\mathrm{i}}{307328}\right)}{307328}+\frac{375265\,\sqrt{7}\,\left(\frac{225159\,\sqrt{3}}{68600}+\frac{225159\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{225159\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,375265{}\mathrm{i}}{307328}\right)}{307328}}{\frac{5632952809\,{\left(\sqrt{1-2\,x}-1\right)}^2}{240945152\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{5632952809}{602362880}+\frac{\sqrt{7}\,\left(\frac{225159\,\sqrt{3}}{68600}+\frac{225159\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{225159\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,375265{}\mathrm{i}}{307328}\right)\,375265{}\mathrm{i}}{307328}-\frac{\sqrt{7}\,\left(\frac{225159\,\sqrt{3}}{68600}+\frac{225159\,\left(\sqrt{1-2\,x}-1\right)}{137200\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{225159\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{27440\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,375265{}\mathrm{i}}{307328}\right)\,375265{}\mathrm{i}}{307328}}\right)}{153664}","Not used",1,"((229171111*((1 - 2*x)^(1/2) - 1)^7)/(15312500*(3^(1/2) - (5*x + 3)^(1/2))^7) - (1983904*((1 - 2*x)^(1/2) - 1)^3)/(2734375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (13839741*((1 - 2*x)^(1/2) - 1)^5)/(7656250*(3^(1/2) - (5*x + 3)^(1/2))^5) - (734066*((1 - 2*x)^(1/2) - 1))/(133984375*(3^(1/2) - (5*x + 3)^(1/2))) - (229171111*((1 - 2*x)^(1/2) - 1)^9)/(6125000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (13839741*((1 - 2*x)^(1/2) - 1)^11)/(490000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (61997*((1 - 2*x)^(1/2) - 1)^13)/(875*(3^(1/2) - (5*x + 3)^(1/2))^13) + (367033*((1 - 2*x)^(1/2) - 1)^15)/(109760*(3^(1/2) - (5*x + 3)^(1/2))^15) + (1111291*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(19140625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (746274*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(546875*(3^(1/2) - (5*x + 3)^(1/2))^4) - (7569447*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(1531250*(3^(1/2) - (5*x + 3)^(1/2))^6) + (631898231*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(53593750*(3^(1/2) - (5*x + 3)^(1/2))^8) - (7569447*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(245000*(3^(1/2) - (5*x + 3)^(1/2))^10) + (373137*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(7000*(3^(1/2) - (5*x + 3)^(1/2))^12) + (1111291*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(78400*(3^(1/2) - (5*x + 3)^(1/2))^14))/((45056*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (294784*((1 - 2*x)^(1/2) - 1)^4)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (1921024*((1 - 2*x)^(1/2) - 1)^6)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (5828656*((1 - 2*x)^(1/2) - 1)^8)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^8) - (480256*((1 - 2*x)^(1/2) - 1)^10)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^10) + (18424*((1 - 2*x)^(1/2) - 1)^12)/(625*(3^(1/2) - (5*x + 3)^(1/2))^12) + (704*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 - (21504*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48384*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^5) - (4992*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^7) + (2496*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^9) - (6048*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(625*(3^(1/2) - (5*x + 3)^(1/2))^11) + (672*3^(1/2)*((1 - 2*x)^(1/2) - 1)^13)/(25*(3^(1/2) - (5*x + 3)^(1/2))^13) + (24*3^(1/2)*((1 - 2*x)^(1/2) - 1)^15)/(5*(3^(1/2) - (5*x + 3)^(1/2))^15) - (3072*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) + 256/390625) - (375265*7^(1/2)*atan(((375265*7^(1/2)*((225159*3^(1/2))/68600 + (225159*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*375265i)/307328 - (225159*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2)))/307328 + (375265*7^(1/2)*((225159*3^(1/2))/68600 + (225159*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*375265i)/307328 - (225159*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2)))/307328)/((7^(1/2)*((225159*3^(1/2))/68600 + (225159*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*375265i)/307328 - (225159*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2))*375265i)/307328 - (7^(1/2)*((225159*3^(1/2))/68600 + (225159*((1 - 2*x)^(1/2) - 1))/(137200*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*375265i)/307328 - (225159*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(27440*(3^(1/2) - (5*x + 3)^(1/2))^2))*375265i)/307328 + (5632952809*((1 - 2*x)^(1/2) - 1)^2)/(240945152*(3^(1/2) - (5*x + 3)^(1/2))^2) + 5632952809/602362880)))/153664","B"
2468,0,-1,128,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2), x)","F"
2469,0,-1,121,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2), x)","F"
2470,0,-1,94,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2),x)","\int \frac{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2), x)","F"
2471,0,-1,72,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/(1 - 2*x)^(1/2),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/(1 - 2*x)^(1/2), x)","F"
2472,0,-1,86,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)), x)","F"
2473,0,-1,91,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^2),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^2), x)","F"
2474,0,-1,93,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^3),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^3), x)","F"
2475,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^4),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^4), x)","F"
2476,0,-1,151,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^5),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^5), x)","F"
2477,0,-1,180,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^6),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^6), x)","F"
2478,0,-1,150,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2479,0,-1,143,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2480,0,-1,116,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2481,0,-1,96,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/(1 - 2*x)^(1/2),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/(1 - 2*x)^(1/2), x)","F"
2482,0,-1,108,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)), x)","F"
2483,0,-1,115,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^2),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^2), x)","F"
2484,0,-1,120,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^3),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^3), x)","F"
2485,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^4),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^4), x)","F"
2486,0,-1,151,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^5),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^5), x)","F"
2487,0,-1,180,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^6),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^6), x)","F"
2488,0,-1,209,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^7),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^7} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^7), x)","F"
2489,1,708,113,11.932701,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\frac{10866247\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{640000}-\frac{\frac{6770247\,\left(\sqrt{1-2\,x}-1\right)}{195312500\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{33291573\,{\left(\sqrt{1-2\,x}-1\right)}^3}{78125000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{883182573\,{\left(\sqrt{1-2\,x}-1\right)}^5}{156250000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{451883391\,{\left(\sqrt{1-2\,x}-1\right)}^7}{62500000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{451883391\,{\left(\sqrt{1-2\,x}-1\right)}^9}{25000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{883182573\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{10000000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{33291573\,{\left(\sqrt{1-2\,x}-1\right)}^{13}}{800000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{13}}-\frac{6770247\,{\left(\sqrt{1-2\,x}-1\right)}^{15}}{320000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{15}}+\frac{49152\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{258048\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{1032192\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{16147968\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{390625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{258048\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{16128\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{768\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}}{\frac{1024\,{\left(\sqrt{1-2\,x}-1\right)}^2}{78125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{1792\,{\left(\sqrt{1-2\,x}-1\right)}^6}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{224\,{\left(\sqrt{1-2\,x}-1\right)}^8}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{448\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{112\,{\left(\sqrt{1-2\,x}-1\right)}^{12}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{16\,{\left(\sqrt{1-2\,x}-1\right)}^{14}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{14}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{16}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{16}}+\frac{256}{390625}}","Not used",1,"(10866247*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/640000 - ((6770247*((1 - 2*x)^(1/2) - 1))/(195312500*(3^(1/2) - (5*x + 3)^(1/2))) - (33291573*((1 - 2*x)^(1/2) - 1)^3)/(78125000*(3^(1/2) - (5*x + 3)^(1/2))^3) - (883182573*((1 - 2*x)^(1/2) - 1)^5)/(156250000*(3^(1/2) - (5*x + 3)^(1/2))^5) + (451883391*((1 - 2*x)^(1/2) - 1)^7)/(62500000*(3^(1/2) - (5*x + 3)^(1/2))^7) - (451883391*((1 - 2*x)^(1/2) - 1)^9)/(25000000*(3^(1/2) - (5*x + 3)^(1/2))^9) + (883182573*((1 - 2*x)^(1/2) - 1)^11)/(10000000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (33291573*((1 - 2*x)^(1/2) - 1)^13)/(800000*(3^(1/2) - (5*x + 3)^(1/2))^13) - (6770247*((1 - 2*x)^(1/2) - 1)^15)/(320000*(3^(1/2) - (5*x + 3)^(1/2))^15) + (49152*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (258048*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (1032192*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (16147968*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(390625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (258048*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (16128*3^(1/2)*((1 - 2*x)^(1/2) - 1)^12)/(125*(3^(1/2) - (5*x + 3)^(1/2))^12) + (768*3^(1/2)*((1 - 2*x)^(1/2) - 1)^14)/(25*(3^(1/2) - (5*x + 3)^(1/2))^14))/((1024*((1 - 2*x)^(1/2) - 1)^2)/(78125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1792*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (1792*((1 - 2*x)^(1/2) - 1)^6)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^6) + (224*((1 - 2*x)^(1/2) - 1)^8)/(125*(3^(1/2) - (5*x + 3)^(1/2))^8) + (448*((1 - 2*x)^(1/2) - 1)^10)/(125*(3^(1/2) - (5*x + 3)^(1/2))^10) + (112*((1 - 2*x)^(1/2) - 1)^12)/(25*(3^(1/2) - (5*x + 3)^(1/2))^12) + (16*((1 - 2*x)^(1/2) - 1)^14)/(5*(3^(1/2) - (5*x + 3)^(1/2))^14) + ((1 - 2*x)^(1/2) - 1)^16/(3^(1/2) - (5*x + 3)^(1/2))^16 + 256/390625)","B"
2490,1,534,84,7.748915,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\frac{44437\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{8000}-\frac{\frac{18837\,\left(\sqrt{1-2\,x}-1\right)}{390625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{154377\,{\left(\sqrt{1-2\,x}-1\right)}^3}{156250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{226251\,{\left(\sqrt{1-2\,x}-1\right)}^5}{156250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{226251\,{\left(\sqrt{1-2\,x}-1\right)}^7}{62500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{154377\,{\left(\sqrt{1-2\,x}-1\right)}^9}{10000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}-\frac{18837\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{4000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{4608\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{59904\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{107136\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{14976\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{288\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{192\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{48\,{\left(\sqrt{1-2\,x}-1\right)}^4}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^8}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{12\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}+\frac{64}{15625}}","Not used",1,"(44437*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/8000 - ((18837*((1 - 2*x)^(1/2) - 1))/(390625*(3^(1/2) - (5*x + 3)^(1/2))) - (154377*((1 - 2*x)^(1/2) - 1)^3)/(156250*(3^(1/2) - (5*x + 3)^(1/2))^3) - (226251*((1 - 2*x)^(1/2) - 1)^5)/(156250*(3^(1/2) - (5*x + 3)^(1/2))^5) + (226251*((1 - 2*x)^(1/2) - 1)^7)/(62500*(3^(1/2) - (5*x + 3)^(1/2))^7) + (154377*((1 - 2*x)^(1/2) - 1)^9)/(10000*(3^(1/2) - (5*x + 3)^(1/2))^9) - (18837*((1 - 2*x)^(1/2) - 1)^11)/(4000*(3^(1/2) - (5*x + 3)^(1/2))^11) + (4608*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (59904*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (107136*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) + (14976*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (288*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10))/((192*((1 - 2*x)^(1/2) - 1)^2)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (48*((1 - 2*x)^(1/2) - 1)^4)/(125*(3^(1/2) - (5*x + 3)^(1/2))^4) + (32*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + (12*((1 - 2*x)^(1/2) - 1)^8)/(5*(3^(1/2) - (5*x + 3)^(1/2))^8) + (12*((1 - 2*x)^(1/2) - 1)^10)/(5*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 + 64/15625)","B"
2491,1,360,77,10.634741,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\frac{3827\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{2000}-\frac{\frac{627\,\left(\sqrt{1-2\,x}-1\right)}{15625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{7941\,{\left(\sqrt{1-2\,x}-1\right)}^3}{6250\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{7941\,{\left(\sqrt{1-2\,x}-1\right)}^5}{2500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{627\,{\left(\sqrt{1-2\,x}-1\right)}^7}{1000\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{384\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1632\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{96\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{32\,{\left(\sqrt{1-2\,x}-1\right)}^2}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{24\,{\left(\sqrt{1-2\,x}-1\right)}^4}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{8\,{\left(\sqrt{1-2\,x}-1\right)}^6}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{16}{625}}","Not used",1,"(3827*10^(1/2)*atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/2000 - ((627*((1 - 2*x)^(1/2) - 1))/(15625*(3^(1/2) - (5*x + 3)^(1/2))) - (7941*((1 - 2*x)^(1/2) - 1)^3)/(6250*(3^(1/2) - (5*x + 3)^(1/2))^3) + (7941*((1 - 2*x)^(1/2) - 1)^5)/(2500*(3^(1/2) - (5*x + 3)^(1/2))^5) - (627*((1 - 2*x)^(1/2) - 1)^7)/(1000*(3^(1/2) - (5*x + 3)^(1/2))^7) + (384*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) + (1632*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (96*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6))/((32*((1 - 2*x)^(1/2) - 1)^2)/(125*(3^(1/2) - (5*x + 3)^(1/2))^2) + (24*((1 - 2*x)^(1/2) - 1)^4)/(25*(3^(1/2) - (5*x + 3)^(1/2))^4) + (8*((1 - 2*x)^(1/2) - 1)^6)/(5*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 + 16/625)","B"
2492,1,220,50,4.079082,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","-\frac{\frac{3\,{\left(\sqrt{1-2\,x}-1\right)}^3}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{6\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{24\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}}{\frac{4\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{4}{25}}-\frac{3\,\sqrt{10}\,\left(\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{1-2\,x}-1\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)+\frac{40\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}{5\,\left(\sqrt{1-2\,x}-1\right)}\right)}{3}\right)}{50}","Not used",1,"- ((3*((1 - 2*x)^(1/2) - 1)^3)/(25*(3^(1/2) - (5*x + 3)^(1/2))^3) - (6*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) + (24*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2))/((4*((1 - 2*x)^(1/2) - 1)^2)/(5*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + 4/25) - (3*10^(1/2)*(atan((10^(1/2)*((1 - 2*x)^(1/2) - 1))/(2*(3^(1/2) - (5*x + 3)^(1/2)))) + (40*atan((10^(1/2)*(3^(1/2) - (5*x + 3)^(1/2)))/(5*((1 - 2*x)^(1/2) - 1))))/3))/50","B"
2493,1,36,26,0.037740,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","-\frac{2\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}{5\,\left(\sqrt{1-2\,x}-1\right)}\right)}{5}","Not used",1,"-(2*10^(1/2)*atan((10^(1/2)*(3^(1/2) - (5*x + 3)^(1/2)))/(5*((1 - 2*x)^(1/2) - 1))))/5","B"
2494,1,145,32,6.269663,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(1/2)),x)","\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{20\,\sqrt{21}\,x-\sqrt{3}\,\sqrt{7}+\sqrt{7}\,\sqrt{5\,x+3}+10\,\sqrt{21}\,\sqrt{1-2\,x}+2\,\sqrt{21}+\sqrt{3}\,\sqrt{7}\,\sqrt{1-2\,x}-4\,\sqrt{3}\,\sqrt{21}\,\sqrt{5\,x+3}-\sqrt{7}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{200\,x-77\,\sqrt{3}\,\sqrt{5\,x+3}-11\,\sqrt{1-2\,x}+37\,\sqrt{3}\,\sqrt{1-2\,x}\,\sqrt{5\,x+3}+131}\right)}{7}","Not used",1,"(2*7^(1/2)*atan((20*21^(1/2)*x - 3^(1/2)*7^(1/2) + 7^(1/2)*(5*x + 3)^(1/2) + 10*21^(1/2)*(1 - 2*x)^(1/2) + 2*21^(1/2) + 3^(1/2)*7^(1/2)*(1 - 2*x)^(1/2) - 4*3^(1/2)*21^(1/2)*(5*x + 3)^(1/2) - 7^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(200*x - 77*3^(1/2)*(5*x + 3)^(1/2) - 11*(1 - 2*x)^(1/2) + 37*3^(1/2)*(1 - 2*x)^(1/2)*(5*x + 3)^(1/2) + 131)))/7","B"
2495,1,716,64,7.017246,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(1/2)),x)","\frac{6\,{\left(\sqrt{1-2\,x}-1\right)}^3}{7\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}-\frac{37\,\sqrt{7}\,\mathrm{atan}\left(\frac{32856\,\sqrt{3}\,\sqrt{7}}{42875\,\left(\frac{32856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1715\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{607836\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{65712}{8575}\right)}+\frac{16428\,\sqrt{7}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{32856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1715\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{607836\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{65712}{8575}\right)}-\frac{16428\,\sqrt{3}\,\sqrt{7}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{8575\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{32856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1715\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{607836\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{42875\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{65712}{8575}\right)}\right)}{49}-\frac{12\,\left(\sqrt{1-2\,x}-1\right)}{35\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}+\frac{111\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{175\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2\,\left(\frac{14\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^4}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{6\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{12\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{25\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{4}{25}\right)}","Not used",1,"(6*((1 - 2*x)^(1/2) - 1)^3)/(7*(3^(1/2) - (5*x + 3)^(1/2))^3*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) - (37*7^(1/2)*atan((32856*3^(1/2)*7^(1/2))/(42875*((32856*((1 - 2*x)^(1/2) - 1)^2)/(1715*(3^(1/2) - (5*x + 3)^(1/2))^2) + (607836*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))) - 65712/8575)) + (16428*7^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))*((32856*((1 - 2*x)^(1/2) - 1)^2)/(1715*(3^(1/2) - (5*x + 3)^(1/2))^2) + (607836*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))) - 65712/8575)) - (16428*3^(1/2)*7^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(8575*(3^(1/2) - (5*x + 3)^(1/2))^2*((32856*((1 - 2*x)^(1/2) - 1)^2)/(1715*(3^(1/2) - (5*x + 3)^(1/2))^2) + (607836*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(42875*(3^(1/2) - (5*x + 3)^(1/2))) - 65712/8575))))/49 - (12*((1 - 2*x)^(1/2) - 1))/(35*(3^(1/2) - (5*x + 3)^(1/2))*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25)) + (111*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(175*(3^(1/2) - (5*x + 3)^(1/2))^2*((14*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + ((1 - 2*x)^(1/2) - 1)^4/(3^(1/2) - (5*x + 3)^(1/2))^4 + (6*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(5*(3^(1/2) - (5*x + 3)^(1/2))^3) - (12*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(25*(3^(1/2) - (5*x + 3)^(1/2))) + 4/25))","B"
2496,1,1037,93,13.234050,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(1/2)),x)","\frac{\frac{11841\,{\left(\sqrt{1-2\,x}-1\right)}^5}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{23682\,{\left(\sqrt{1-2\,x}-1\right)}^3}{6125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{7458\,\left(\sqrt{1-2\,x}-1\right)}{30625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{3729\,{\left(\sqrt{1-2\,x}-1\right)}^7}{980\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{34149\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{30625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{58782\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{30625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{34149\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{4900\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}}{\frac{544\,{\left(\sqrt{1-2\,x}-1\right)}^2}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{1764\,{\left(\sqrt{1-2\,x}-1\right)}^4}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}+\frac{136\,{\left(\sqrt{1-2\,x}-1\right)}^6}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^8}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}-\frac{96\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{48\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}+\frac{12\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}-\frac{96\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{16}{625}}-\frac{3827\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{3827\,\sqrt{7}\,\left(\frac{22962\,\sqrt{3}}{6125}+\frac{11481\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{11481\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,3827{}\mathrm{i}}{2744}\right)}{2744}+\frac{3827\,\sqrt{7}\,\left(\frac{22962\,\sqrt{3}}{6125}+\frac{11481\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{11481\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,3827{}\mathrm{i}}{2744}\right)}{2744}}{\frac{14645929\,{\left(\sqrt{1-2\,x}-1\right)}^2}{480200\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{14645929}{1200500}+\frac{\sqrt{7}\,\left(\frac{22962\,\sqrt{3}}{6125}+\frac{11481\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{11481\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,3827{}\mathrm{i}}{2744}\right)\,3827{}\mathrm{i}}{2744}-\frac{\sqrt{7}\,\left(\frac{22962\,\sqrt{3}}{6125}+\frac{11481\,\left(\sqrt{1-2\,x}-1\right)}{6125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{11481\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{1225\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,3827{}\mathrm{i}}{2744}\right)\,3827{}\mathrm{i}}{2744}}\right)}{1372}","Not used",1,"((11841*((1 - 2*x)^(1/2) - 1)^5)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^5) - (23682*((1 - 2*x)^(1/2) - 1)^3)/(6125*(3^(1/2) - (5*x + 3)^(1/2))^3) - (7458*((1 - 2*x)^(1/2) - 1))/(30625*(3^(1/2) - (5*x + 3)^(1/2))) + (3729*((1 - 2*x)^(1/2) - 1)^7)/(980*(3^(1/2) - (5*x + 3)^(1/2))^7) + (34149*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(30625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (58782*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(30625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (34149*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(4900*(3^(1/2) - (5*x + 3)^(1/2))^6))/((544*((1 - 2*x)^(1/2) - 1)^2)/(625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (1764*((1 - 2*x)^(1/2) - 1)^4)/(625*(3^(1/2) - (5*x + 3)^(1/2))^4) + (136*((1 - 2*x)^(1/2) - 1)^6)/(25*(3^(1/2) - (5*x + 3)^(1/2))^6) + ((1 - 2*x)^(1/2) - 1)^8/(3^(1/2) - (5*x + 3)^(1/2))^8 - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (48*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(125*(3^(1/2) - (5*x + 3)^(1/2))^5) + (12*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(5*(3^(1/2) - (5*x + 3)^(1/2))^7) - (96*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(625*(3^(1/2) - (5*x + 3)^(1/2))) + 16/625) - (3827*7^(1/2)*atan(((3827*7^(1/2)*((22962*3^(1/2))/6125 + (11481*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*3827i)/2744 - (11481*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2)))/2744 + (3827*7^(1/2)*((22962*3^(1/2))/6125 + (11481*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*3827i)/2744 - (11481*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2)))/2744)/((7^(1/2)*((22962*3^(1/2))/6125 + (11481*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*3827i)/2744 - (11481*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2))*3827i)/2744 - (7^(1/2)*((22962*3^(1/2))/6125 + (11481*((1 - 2*x)^(1/2) - 1))/(6125*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*3827i)/2744 - (11481*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(1225*(3^(1/2) - (5*x + 3)^(1/2))^2))*3827i)/2744 + (14645929*((1 - 2*x)^(1/2) - 1)^2)/(480200*(3^(1/2) - (5*x + 3)^(1/2))^2) + 14645929/1200500)))/1372","B"
2497,1,1273,122,13.941374,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(1/2)),x)","\frac{\frac{133036146\,{\left(\sqrt{1-2\,x}-1\right)}^5}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{52971444\,{\left(\sqrt{1-2\,x}-1\right)}^3}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}-\frac{885996\,\left(\sqrt{1-2\,x}-1\right)}{5359375\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{66518073\,{\left(\sqrt{1-2\,x}-1\right)}^7}{1071875\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{13242861\,{\left(\sqrt{1-2\,x}-1\right)}^9}{85750\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{221499\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{13720\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}+\frac{6657318\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{6000759\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^4}{765625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{181223838\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^6}{5359375\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}+\frac{6000759\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^8}{122500\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{3328659\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{68600\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}}{\frac{5856\,{\left(\sqrt{1-2\,x}-1\right)}^2}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{4224\,{\left(\sqrt{1-2\,x}-1\right)}^4}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^4}-\frac{14776\,{\left(\sqrt{1-2\,x}-1\right)}^6}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^6}-\frac{1056\,{\left(\sqrt{1-2\,x}-1\right)}^8}{625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^8}+\frac{366\,{\left(\sqrt{1-2\,x}-1\right)}^{10}}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{10}}+\frac{{\left(\sqrt{1-2\,x}-1\right)}^{12}}{{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{12}}-\frac{7776\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^3}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^3}+\frac{34704\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^5}{15625\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^5}-\frac{17352\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^7}{3125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^7}+\frac{972\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^9}{125\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^9}+\frac{18\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^{11}}{5\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^{11}}-\frac{576\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{15625\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}+\frac{64}{15625}}-\frac{222185\,\sqrt{7}\,\mathrm{atan}\left(\frac{\frac{222185\,\sqrt{7}\,\left(\frac{133311\,\sqrt{3}}{8575}+\frac{133311\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{133311\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,222185{}\mathrm{i}}{38416}\right)}{38416}+\frac{222185\,\sqrt{7}\,\left(\frac{133311\,\sqrt{3}}{8575}+\frac{133311\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{133311\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,222185{}\mathrm{i}}{38416}\right)}{38416}}{\frac{1974646969\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3764768\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{1974646969}{9411920}+\frac{\sqrt{7}\,\left(\frac{133311\,\sqrt{3}}{8575}+\frac{133311\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{133311\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}-\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,222185{}\mathrm{i}}{38416}\right)\,222185{}\mathrm{i}}{38416}-\frac{\sqrt{7}\,\left(\frac{133311\,\sqrt{3}}{8575}+\frac{133311\,\left(\sqrt{1-2\,x}-1\right)}{17150\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{133311\,\sqrt{3}\,{\left(\sqrt{1-2\,x}-1\right)}^2}{3430\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{\sqrt{7}\,\left(\frac{212\,{\left(\sqrt{1-2\,x}-1\right)}^2}{25\,{\left(\sqrt{3}-\sqrt{5\,x+3}\right)}^2}+\frac{888\,\sqrt{3}\,\left(\sqrt{1-2\,x}-1\right)}{125\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}-\frac{536}{125}\right)\,222185{}\mathrm{i}}{38416}\right)\,222185{}\mathrm{i}}{38416}}\right)}{19208}","Not used",1,"((133036146*((1 - 2*x)^(1/2) - 1)^5)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^5) - (52971444*((1 - 2*x)^(1/2) - 1)^3)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^3) - (885996*((1 - 2*x)^(1/2) - 1))/(5359375*(3^(1/2) - (5*x + 3)^(1/2))) - (66518073*((1 - 2*x)^(1/2) - 1)^7)/(1071875*(3^(1/2) - (5*x + 3)^(1/2))^7) + (13242861*((1 - 2*x)^(1/2) - 1)^9)/(85750*(3^(1/2) - (5*x + 3)^(1/2))^9) + (221499*((1 - 2*x)^(1/2) - 1)^11)/(13720*(3^(1/2) - (5*x + 3)^(1/2))^11) + (6657318*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^2) + (6000759*3^(1/2)*((1 - 2*x)^(1/2) - 1)^4)/(765625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (181223838*3^(1/2)*((1 - 2*x)^(1/2) - 1)^6)/(5359375*(3^(1/2) - (5*x + 3)^(1/2))^6) + (6000759*3^(1/2)*((1 - 2*x)^(1/2) - 1)^8)/(122500*(3^(1/2) - (5*x + 3)^(1/2))^8) + (3328659*3^(1/2)*((1 - 2*x)^(1/2) - 1)^10)/(68600*(3^(1/2) - (5*x + 3)^(1/2))^10))/((5856*((1 - 2*x)^(1/2) - 1)^2)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^2) - (4224*((1 - 2*x)^(1/2) - 1)^4)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^4) - (14776*((1 - 2*x)^(1/2) - 1)^6)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^6) - (1056*((1 - 2*x)^(1/2) - 1)^8)/(625*(3^(1/2) - (5*x + 3)^(1/2))^8) + (366*((1 - 2*x)^(1/2) - 1)^10)/(25*(3^(1/2) - (5*x + 3)^(1/2))^10) + ((1 - 2*x)^(1/2) - 1)^12/(3^(1/2) - (5*x + 3)^(1/2))^12 - (7776*3^(1/2)*((1 - 2*x)^(1/2) - 1)^3)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^3) + (34704*3^(1/2)*((1 - 2*x)^(1/2) - 1)^5)/(15625*(3^(1/2) - (5*x + 3)^(1/2))^5) - (17352*3^(1/2)*((1 - 2*x)^(1/2) - 1)^7)/(3125*(3^(1/2) - (5*x + 3)^(1/2))^7) + (972*3^(1/2)*((1 - 2*x)^(1/2) - 1)^9)/(125*(3^(1/2) - (5*x + 3)^(1/2))^9) + (18*3^(1/2)*((1 - 2*x)^(1/2) - 1)^11)/(5*(3^(1/2) - (5*x + 3)^(1/2))^11) - (576*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(15625*(3^(1/2) - (5*x + 3)^(1/2))) + 64/15625) - (222185*7^(1/2)*atan(((222185*7^(1/2)*((133311*3^(1/2))/8575 + (133311*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*222185i)/38416 - (133311*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2)))/38416 + (222185*7^(1/2)*((133311*3^(1/2))/8575 + (133311*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*222185i)/38416 - (133311*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2)))/38416)/((7^(1/2)*((133311*3^(1/2))/8575 + (133311*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) - (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*222185i)/38416 - (133311*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2))*222185i)/38416 - (7^(1/2)*((133311*3^(1/2))/8575 + (133311*((1 - 2*x)^(1/2) - 1))/(17150*(3^(1/2) - (5*x + 3)^(1/2))) + (7^(1/2)*((212*((1 - 2*x)^(1/2) - 1)^2)/(25*(3^(1/2) - (5*x + 3)^(1/2))^2) + (888*3^(1/2)*((1 - 2*x)^(1/2) - 1))/(125*(3^(1/2) - (5*x + 3)^(1/2))) - 536/125)*222185i)/38416 - (133311*3^(1/2)*((1 - 2*x)^(1/2) - 1)^2)/(3430*(3^(1/2) - (5*x + 3)^(1/2))^2))*222185i)/38416 + (1974646969*((1 - 2*x)^(1/2) - 1)^2)/(3764768*(3^(1/2) - (5*x + 3)^(1/2))^2) + 1974646969/9411920)))/19208","B"
2498,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2499,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2500,0,-1,72,0.000000,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^2}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2501,0,-1,52,0.000000,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{3\,x+2}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2502,1,34,22,2.469734,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{4\,x}{55}-\frac{2}{55}\right)}{x\,\sqrt{1-2\,x}+\frac{3\,\sqrt{1-2\,x}}{5}}","Not used",1,"((5*x + 3)^(1/2)*((4*x)/55 - 2/55))/(x*(1 - 2*x)^(1/2) + (3*(1 - 2*x)^(1/2))/5)","B"
2503,0,-1,55,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(3/2)), x)","F"
2504,0,-1,86,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(3/2)), x)","F"
2505,0,-1,115,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(3/2)), x)","F"
2506,0,-1,144,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(3/2)), x)","F"
2507,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2508,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2509,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2510,0,-1,74,0.000000,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^2}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^2/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2511,1,51,45,2.500518,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{412\,x^2}{9075}+\frac{2\,x}{363}-\frac{128}{9075}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{5}+\frac{9\,\sqrt{1-2\,x}}{25}+x^2\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((2*x)/363 + (412*x^2)/9075 - 128/9075))/((6*x*(1 - 2*x)^(1/2))/5 + (9*(1 - 2*x)^(1/2))/25 + x^2*(1 - 2*x)^(1/2))","B"
2512,1,51,45,0.181475,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{16\,x^2}{1815}+\frac{52\,x}{9075}-\frac{46}{9075}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{5}+\frac{9\,\sqrt{1-2\,x}}{25}+x^2\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((52*x)/9075 + (16*x^2)/1815 - 46/9075))/((6*x*(1 - 2*x)^(1/2))/5 + (9*(1 - 2*x)^(1/2))/25 + x^2*(1 - 2*x)^(1/2))","B"
2513,0,-1,77,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)*(5*x + 3)^(5/2)), x)","F"
2514,0,-1,108,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^2*(5*x + 3)^(5/2)), x)","F"
2515,0,-1,137,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^3*(5*x + 3)^(5/2)), x)","F"
2516,0,-1,166,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^4*(5*x + 3)^(5/2)), x)","F"
2517,1,998,59,8.481475,"\text{Not used}","int(1/((e + f*x)*(a + b*x)^(1/2)*(2*b*e - a*f + b*f*x)^(1/2)),x)","\frac{2\,\left(\mathrm{atan}\left(\frac{2\,\sqrt{a}\,\sqrt{2\,b\,e-a\,f}\,{\left(f\,\left(b^2\,e^2+a\,f\,\left(a\,f-2\,b\,e\right)\right)\right)}^{5/2}+\frac{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,{\left(f\,\left(b^2\,e^2+a\,f\,\left(a\,f-2\,b\,e\right)\right)\right)}^{5/2}}{\sqrt{2\,b\,e-a\,f}-\sqrt{2\,b\,e-a\,f+b\,f\,x}}}{2\,b^6\,e^6\,f^2+2\,a^3\,f^5\,{\left(a\,f-2\,b\,e\right)}^3+6\,a^2\,b^2\,e^2\,f^4\,{\left(a\,f-2\,b\,e\right)}^2+6\,a\,b^4\,e^4\,f^3\,\left(a\,f-2\,b\,e\right)}\right)-\mathrm{atan}\left(\frac{b^2\,e^2\,f^3\,\left(a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f\right)\,\left(\frac{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(\frac{64}{b\,e\,f^2\,\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}\,\left(2\,a\,f^2\,\left(a\,f-2\,b\,e\right)+2\,b^2\,e^2\,f\right)}+\frac{8\,{\left(b^2\,e^2+a\,f\,\left(a\,f-2\,b\,e\right)\right)}^2}{b^3\,e^3\,f\,{\left(f\,\left(b^2\,e^2+a\,f\,\left(a\,f-2\,b\,e\right)\right)\right)}^{5/2}}-\frac{32\,a\,\left(a\,f-2\,b\,e\right)}{b^2\,e^2\,f^2\,\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}\,\left(4\,b^3\,e^3+4\,a\,b\,e\,f\,\left(a\,f-2\,b\,e\right)\right)}\right)}{\sqrt{2\,b\,e-a\,f}-\sqrt{2\,b\,e-a\,f+b\,f\,x}}-\frac{\left(\frac{f^2\,{\left(b^2\,e^2+a\,f\,\left(a\,f-2\,b\,e\right)\right)}^2\,\left(\frac{4}{b^2\,e^2\,f^2}-\frac{12\,a\,f^2\,\left(a\,f-2\,b\,e\right)+12\,b^2\,e^2\,f}{b^2\,e^2\,f^2\,\left(a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f\right)}\right)}{b\,e\,{\left(f\,\left(b^2\,e^2+a\,f\,\left(a\,f-2\,b\,e\right)\right)\right)}^{5/2}}+\frac{32\,a\,\left(a\,f-2\,b\,e\right)}{b^2\,e^2\,f\,\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}\,\left(4\,b^3\,e^3+4\,a\,b\,e\,f\,\left(a\,f-2\,b\,e\right)\right)}\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{{\left(\sqrt{2\,b\,e-a\,f}-\sqrt{2\,b\,e-a\,f+b\,f\,x}\right)}^3}+\frac{\left(\frac{32\,\sqrt{a}\,\sqrt{2\,b\,e-a\,f}}{b^2\,e^2\,f\,\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}\,\left(2\,a\,f^2\,\left(a\,f-2\,b\,e\right)+2\,b^2\,e^2\,f\right)}+\frac{64\,\sqrt{a}\,\sqrt{2\,b\,e-a\,f}}{b\,e\,f^2\,\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}\,\left(4\,b^3\,e^3+4\,a\,b\,e\,f\,\left(a\,f-2\,b\,e\right)\right)}\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{{\left(\sqrt{2\,b\,e-a\,f}-\sqrt{2\,b\,e-a\,f+b\,f\,x}\right)}^2}+\frac{32\,\sqrt{a}\,\sqrt{2\,b\,e-a\,f}}{b^2\,e^2\,f^2\,\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}\,\left(2\,a\,f^2\,\left(a\,f-2\,b\,e\right)+2\,b^2\,e^2\,f\right)}\right)}{16}\right)\right)}{\sqrt{a\,f^2\,\left(a\,f-2\,b\,e\right)+b^2\,e^2\,f}}","Not used",1,"(2*(atan((2*a^(1/2)*(2*b*e - a*f)^(1/2)*(f*(b^2*e^2 + a*f*(a*f - 2*b*e)))^(5/2) + (b*e*((a + b*x)^(1/2) - a^(1/2))*(f*(b^2*e^2 + a*f*(a*f - 2*b*e)))^(5/2))/((2*b*e - a*f)^(1/2) - (2*b*e - a*f + b*f*x)^(1/2)))/(2*b^6*e^6*f^2 + 2*a^3*f^5*(a*f - 2*b*e)^3 + 6*a^2*b^2*e^2*f^4*(a*f - 2*b*e)^2 + 6*a*b^4*e^4*f^3*(a*f - 2*b*e))) - atan((b^2*e^2*f^3*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)*((((a + b*x)^(1/2) - a^(1/2))*(64/(b*e*f^2*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)*(2*a*f^2*(a*f - 2*b*e) + 2*b^2*e^2*f)) + (8*(b^2*e^2 + a*f*(a*f - 2*b*e))^2)/(b^3*e^3*f*(f*(b^2*e^2 + a*f*(a*f - 2*b*e)))^(5/2)) - (32*a*(a*f - 2*b*e))/(b^2*e^2*f^2*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)*(4*b^3*e^3 + 4*a*b*e*f*(a*f - 2*b*e)))))/((2*b*e - a*f)^(1/2) - (2*b*e - a*f + b*f*x)^(1/2)) - (((f^2*(b^2*e^2 + a*f*(a*f - 2*b*e))^2*(4/(b^2*e^2*f^2) - (12*a*f^2*(a*f - 2*b*e) + 12*b^2*e^2*f)/(b^2*e^2*f^2*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f))))/(b*e*(f*(b^2*e^2 + a*f*(a*f - 2*b*e)))^(5/2)) + (32*a*(a*f - 2*b*e))/(b^2*e^2*f*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)*(4*b^3*e^3 + 4*a*b*e*f*(a*f - 2*b*e))))*((a + b*x)^(1/2) - a^(1/2))^3)/((2*b*e - a*f)^(1/2) - (2*b*e - a*f + b*f*x)^(1/2))^3 + (((32*a^(1/2)*(2*b*e - a*f)^(1/2))/(b^2*e^2*f*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)*(2*a*f^2*(a*f - 2*b*e) + 2*b^2*e^2*f)) + (64*a^(1/2)*(2*b*e - a*f)^(1/2))/(b*e*f^2*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)*(4*b^3*e^3 + 4*a*b*e*f*(a*f - 2*b*e))))*((a + b*x)^(1/2) - a^(1/2))^2)/((2*b*e - a*f)^(1/2) - (2*b*e - a*f + b*f*x)^(1/2))^2 + (32*a^(1/2)*(2*b*e - a*f)^(1/2))/(b^2*e^2*f^2*(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)*(2*a*f^2*(a*f - 2*b*e) + 2*b^2*e^2*f))))/16)))/(a*f^2*(a*f - 2*b*e) + b^2*e^2*f)^(1/2)","B"
2518,0,-1,168,0.000000,"\text{Not used}","int(((3*x + 2)^5*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^5\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^5*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2519,0,-1,139,0.000000,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^4\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^4*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2520,0,-1,110,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2521,0,-1,94,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2522,0,-1,72,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{\left(3\,x+2\right)\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2523,0,-1,47,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/(1 - 2*x)^(3/2),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/(1 - 2*x)^(3/2), x)","F"
2524,0,-1,57,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)), x)","F"
2525,0,-1,93,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^2),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^2), x)","F"
2526,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^3),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^3), x)","F"
2527,0,-1,151,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^4),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^4), x)","F"
2528,0,-1,180,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^5),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^5), x)","F"
2529,0,-1,161,0.000000,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^4*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2530,0,-1,132,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2531,0,-1,116,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2532,0,-1,94,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2533,0,-1,71,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/(1 - 2*x)^(3/2),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/(1 - 2*x)^(3/2), x)","F"
2534,0,-1,86,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)), x)","F"
2535,0,-1,93,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^2),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^2), x)","F"
2536,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^3),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^3), x)","F"
2537,0,-1,151,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^4),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^4), x)","F"
2538,0,-1,180,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^5),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^5), x)","F"
2539,0,-1,183,0.000000,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^4*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2540,0,-1,154,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2541,0,-1,138,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2542,0,-1,118,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2543,0,-1,93,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/(1 - 2*x)^(3/2),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/(1 - 2*x)^(3/2), x)","F"
2544,0,-1,108,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)), x)","F"
2545,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^2),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^2), x)","F"
2546,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^3),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^3), x)","F"
2547,0,-1,151,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^4),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^4), x)","F"
2548,0,-1,180,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^5),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^5), x)","F"
2549,0,-1,209,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^6),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^6} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^6), x)","F"
2550,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2551,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2552,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2553,0,-1,72,0.000000,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^2}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2554,0,-1,48,0.000000,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{3\,x+2}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2555,1,16,22,2.488579,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\frac{2\,\sqrt{5\,x+3}}{11\,\sqrt{1-2\,x}}","Not used",1,"(2*(5*x + 3)^(1/2))/(11*(1 - 2*x)^(1/2))","B"
2556,0,-1,57,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(1/2)), x)","F"
2557,0,-1,86,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(1/2)), x)","F"
2558,0,-1,115,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(1/2)), x)","F"
2559,0,-1,144,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^4\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)^(1/2)), x)","F"
2560,0,-1,173,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^5*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^5\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^5*(5*x + 3)^(1/2)), x)","F"
2561,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2562,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2563,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2564,0,-1,72,0.000000,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^2}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2565,1,34,45,0.249705,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{74\,x}{605}+\frac{8}{121}\right)}{x\,\sqrt{1-2\,x}+\frac{3\,\sqrt{1-2\,x}}{5}}","Not used",1,"((5*x + 3)^(1/2)*((74*x)/605 + 8/121))/(x*(1 - 2*x)^(1/2) + (3*(1 - 2*x)^(1/2))/5)","B"
2566,1,34,45,2.396762,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{8\,x}{121}+\frac{2}{605}\right)}{x\,\sqrt{1-2\,x}+\frac{3\,\sqrt{1-2\,x}}{5}}","Not used",1,"((5*x + 3)^(1/2)*((8*x)/121 + 2/605))/(x*(1 - 2*x)^(1/2) + (3*(1 - 2*x)^(1/2))/5)","B"
2567,0,-1,79,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(3/2)), x)","F"
2568,0,-1,108,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(3/2)), x)","F"
2569,0,-1,137,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(3/2)), x)","F"
2570,0,-1,166,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^4*(5*x + 3)^(3/2)), x)","F"
2571,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2572,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2573,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2574,1,51,67,0.288785,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{8182\,x^2}{99825}+\frac{8912\,x}{99825}+\frac{2392}{99825}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{5}+\frac{9\,\sqrt{1-2\,x}}{25}+x^2\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((8912*x)/99825 + (8182*x^2)/99825 + 2392/99825))/((6*x*(1 - 2*x)^(1/2))/5 + (9*(1 - 2*x)^(1/2))/25 + x^2*(1 - 2*x)^(1/2))","B"
2575,1,51,67,2.445074,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{856\,x^2}{19965}+\frac{2782\,x}{99825}+\frac{16}{19965}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{5}+\frac{9\,\sqrt{1-2\,x}}{25}+x^2\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((2782*x)/99825 + (856*x^2)/19965 + 16/19965))/((6*x*(1 - 2*x)^(1/2))/5 + (9*(1 - 2*x)^(1/2))/25 + x^2*(1 - 2*x)^(1/2))","B"
2576,1,51,67,0.220102,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{64\,x^2}{3993}+\frac{208\,x}{19965}-\frac{194}{99825}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{5}+\frac{9\,\sqrt{1-2\,x}}{25}+x^2\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((208*x)/19965 + (64*x^2)/3993 - 194/99825))/((6*x*(1 - 2*x)^(1/2))/5 + (9*(1 - 2*x)^(1/2))/25 + x^2*(1 - 2*x)^(1/2))","B"
2577,0,-1,101,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)*(5*x + 3)^(5/2)), x)","F"
2578,0,-1,130,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^2*(5*x + 3)^(5/2)), x)","F"
2579,0,-1,159,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^3*(5*x + 3)^(5/2)), x)","F"
2580,0,-1,142,0.000000,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^4\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^4*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2581,0,-1,113,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2582,0,-1,94,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2583,0,-1,74,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{\left(3\,x+2\right)\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2584,1,35,22,2.356963,"\text{Not used}","int((5*x + 3)^(1/2)/(1 - 2*x)^(5/2),x)","-\frac{\sqrt{5\,x+3}\,\left(\frac{5\,x}{33}+\frac{1}{11}\right)}{x\,\sqrt{1-2\,x}-\frac{\sqrt{1-2\,x}}{2}}","Not used",1,"-((5*x + 3)^(1/2)*((5*x)/33 + 1/11))/(x*(1 - 2*x)^(1/2) - (1 - 2*x)^(1/2)/2)","B"
2585,0,-1,79,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)), x)","F"
2586,0,-1,115,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^2),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^2), x)","F"
2587,0,-1,144,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^3),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^3), x)","F"
2588,0,-1,173,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^4),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^4), x)","F"
2589,0,-1,164,0.000000,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^4*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2590,0,-1,135,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2591,0,-1,116,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2592,0,-1,96,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2593,0,-1,74,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/(1 - 2*x)^(5/2),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/(1 - 2*x)^(5/2), x)","F"
2594,0,-1,79,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)), x)","F"
2595,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^2),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^2), x)","F"
2596,0,-1,144,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^3),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^3), x)","F"
2597,0,-1,173,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^4),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^4), x)","F"
2598,0,-1,186,0.000000,"\text{Not used}","int(((3*x + 2)^4*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^4\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^4*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2599,0,-1,157,0.000000,"\text{Not used}","int(((3*x + 2)^3*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^3*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2600,0,-1,140,0.000000,"\text{Not used}","int(((3*x + 2)^2*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^2*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2601,0,-1,118,0.000000,"\text{Not used}","int(((3*x + 2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2602,0,-1,96,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/(1 - 2*x)^(5/2),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/(1 - 2*x)^(5/2), x)","F"
2603,0,-1,108,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)), x)","F"
2604,0,-1,122,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^2),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^2), x)","F"
2605,0,-1,151,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^3),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^3), x)","F"
2606,0,-1,173,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^4),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^4), x)","F"
2607,0,-1,202,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^5),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^5} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^5), x)","F"
2608,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2609,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2610,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2611,0,-1,72,0.000000,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^2}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2612,1,35,45,2.434371,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","-\frac{\sqrt{5\,x+3}\,\left(\frac{29\,x}{363}+\frac{8}{121}\right)}{x\,\sqrt{1-2\,x}-\frac{\sqrt{1-2\,x}}{2}}","Not used",1,"-((5*x + 3)^(1/2)*((29*x)/363 + 8/121))/(x*(1 - 2*x)^(1/2) - (1 - 2*x)^(1/2)/2)","B"
2613,1,34,45,0.186047,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{20\,x}{363}-\frac{7}{121}\right)}{x\,\sqrt{1-2\,x}-\frac{\sqrt{1-2\,x}}{2}}","Not used",1,"((5*x + 3)^(1/2)*((20*x)/363 - 7/121))/(x*(1 - 2*x)^(1/2) - (1 - 2*x)^(1/2)/2)","B"
2614,0,-1,79,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(1/2)), x)","F"
2615,0,-1,108,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(1/2)), x)","F"
2616,0,-1,137,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(1/2)), x)","F"
2617,0,-1,166,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^4*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^4\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^4*(5*x + 3)^(1/2)), x)","F"
2618,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2619,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2620,0,-1,84,0.000000,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^3}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2621,1,52,67,0.278621,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","-\frac{\sqrt{5\,x+3}\,\left(\frac{793\,x^2}{19965}+\frac{96\,x}{1331}+\frac{188}{6655}\right)}{\frac{x\,\sqrt{1-2\,x}}{10}-\frac{3\,\sqrt{1-2\,x}}{10}+x^2\,\sqrt{1-2\,x}}","Not used",1,"-((5*x + 3)^(1/2)*((96*x)/1331 + (793*x^2)/19965 + 188/6655))/((x*(1 - 2*x)^(1/2))/10 - (3*(1 - 2*x)^(1/2))/10 + x^2*(1 - 2*x)^(1/2))","B"
2622,1,52,67,2.468110,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","-\frac{\sqrt{5\,x+3}\,\left(-\frac{164\,x^2}{3993}+\frac{123\,x}{6655}+\frac{148}{6655}\right)}{\frac{x\,\sqrt{1-2\,x}}{10}-\frac{3\,\sqrt{1-2\,x}}{10}+x^2\,\sqrt{1-2\,x}}","Not used",1,"-((5*x + 3)^(1/2)*((123*x)/6655 - (164*x^2)/3993 + 148/6655))/((x*(1 - 2*x)^(1/2))/10 - (3*(1 - 2*x)^(1/2))/10 + x^2*(1 - 2*x)^(1/2))","B"
2623,1,52,67,2.436543,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","-\frac{\sqrt{5\,x+3}\,\left(-\frac{160\,x^2}{3993}+\frac{24\,x}{1331}+\frac{47}{6655}\right)}{\frac{x\,\sqrt{1-2\,x}}{10}-\frac{3\,\sqrt{1-2\,x}}{10}+x^2\,\sqrt{1-2\,x}}","Not used",1,"-((5*x + 3)^(1/2)*((24*x)/1331 - (160*x^2)/3993 + 47/6655))/((x*(1 - 2*x)^(1/2))/10 - (3*(1 - 2*x)^(1/2))/10 + x^2*(1 - 2*x)^(1/2))","B"
2624,0,-1,101,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(3/2)), x)","F"
2625,0,-1,130,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(3/2)), x)","F"
2626,0,-1,159,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(3/2)), x)","F"
2627,0,-1,171,0.000000,"\text{Not used}","int((3*x + 2)^6/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^6}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^6/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2628,0,-1,142,0.000000,"\text{Not used}","int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^5}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^5/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2629,0,-1,113,0.000000,"\text{Not used}","int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^4}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^4/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2630,1,69,96,0.311712,"\text{Not used}","int((3*x + 2)^3/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(\frac{19573\,x^3}{1098075}+\frac{20744\,x^2}{366025}+\frac{17348\,x}{366025}+\frac{2608}{219615}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{25}+\frac{9\,\sqrt{1-2\,x}}{50}-\frac{7\,x^2\,\sqrt{1-2\,x}}{10}-x^3\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((17348*x)/366025 + (20744*x^2)/366025 + (19573*x^3)/1098075 + 2608/219615))/((6*x*(1 - 2*x)^(1/2))/25 + (9*(1 - 2*x)^(1/2))/50 - (7*x^2*(1 - 2*x)^(1/2))/10 - x^3*(1 - 2*x)^(1/2))","B"
2631,1,69,89,2.517753,"\text{Not used}","int((3*x + 2)^2/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(-\frac{6596\,x^3}{219615}-\frac{1649\,x^2}{366025}+\frac{328\,x}{14641}+\frac{9364}{1098075}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{25}+\frac{9\,\sqrt{1-2\,x}}{50}-\frac{7\,x^2\,\sqrt{1-2\,x}}{10}-x^3\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((328*x)/14641 - (1649*x^2)/366025 - (6596*x^3)/219615 + 9364/1098075))/((6*x*(1 - 2*x)^(1/2))/25 + (9*(1 - 2*x)^(1/2))/50 - (7*x^2*(1 - 2*x)^(1/2))/10 - x^3*(1 - 2*x)^(1/2))","B"
2632,1,69,89,0.266163,"\text{Not used}","int((3*x + 2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(-\frac{1184\,x^3}{43923}-\frac{296\,x^2}{73205}+\frac{4403\,x}{366025}+\frac{2864}{1098075}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{25}+\frac{9\,\sqrt{1-2\,x}}{50}-\frac{7\,x^2\,\sqrt{1-2\,x}}{10}-x^3\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((4403*x)/366025 - (296*x^2)/73205 - (1184*x^3)/43923 + 2864/1098075))/((6*x*(1 - 2*x)^(1/2))/25 + (9*(1 - 2*x)^(1/2))/50 - (7*x^2*(1 - 2*x)^(1/2))/10 - x^3*(1 - 2*x)^(1/2))","B"
2633,1,69,89,2.452139,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\frac{\sqrt{5\,x+3}\,\left(-\frac{640\,x^3}{43923}-\frac{32\,x^2}{14641}+\frac{476\,x}{73205}+\frac{361}{1098075}\right)}{\frac{6\,x\,\sqrt{1-2\,x}}{25}+\frac{9\,\sqrt{1-2\,x}}{50}-\frac{7\,x^2\,\sqrt{1-2\,x}}{10}-x^3\,\sqrt{1-2\,x}}","Not used",1,"((5*x + 3)^(1/2)*((476*x)/73205 - (32*x^2)/14641 - (640*x^3)/43923 + 361/1098075))/((6*x*(1 - 2*x)^(1/2))/25 + (9*(1 - 2*x)^(1/2))/50 - (7*x^2*(1 - 2*x)^(1/2))/10 - x^3*(1 - 2*x)^(1/2))","B"
2634,0,-1,123,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,\left(3\,x+2\right)\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)*(5*x + 3)^(5/2)), x)","F"
2635,0,-1,152,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^2\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^2*(5*x + 3)^(5/2)), x)","F"
2636,0,-1,181,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^3\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^3*(5*x + 3)^(5/2)), x)","F"
2637,0,-1,58,0.000000,"\text{Not used}","int(1/((c + (b*x*(c - 1))/a)^(1/2)*(e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)),x)","\int \frac{1}{\sqrt{c+\frac{b\,x\,\left(c-1\right)}{a}}\,\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}\,\sqrt{a+b\,x}} \,d x","Not used",1,"int(1/((c + (b*x*(c - 1))/a)^(1/2)*(e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)), x)","F"
2638,0,-1,96,0.000000,"\text{Not used}","int(1/((e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
2639,0,-1,134,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
2640,0,-1,58,0.000000,"\text{Not used}","int((e + (b*x*(e - 1))/a)^(1/2)/((c + (b*x*(c - 1))/a)^(1/2)*(a + b*x)^(1/2)),x)","\int \frac{\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}}{\sqrt{c+\frac{b\,x\,\left(c-1\right)}{a}}\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((e + (b*x*(e - 1))/a)^(1/2)/((c + (b*x*(c - 1))/a)^(1/2)*(a + b*x)^(1/2)), x)","F"
2641,0,-1,96,0.000000,"\text{Not used}","int((c + d*x)^(1/2)/((e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)),x)","\int \frac{\sqrt{c+d\,x}}{\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}\,\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(1/2)/((e + (b*x*(e - 1))/a)^(1/2)*(a + b*x)^(1/2)), x)","F"
2642,0,-1,162,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/((c + (b*x*(c - 1))/a)^(1/2)*(e + (b*x*(e - 1))/a)^(1/2)),x)","\int \frac{\sqrt{a+b\,x}}{\sqrt{c+\frac{b\,x\,\left(c-1\right)}{a}}\,\sqrt{e+\frac{b\,x\,\left(e-1\right)}{a}}} \,d x","Not used",1,"int((a + b*x)^(1/2)/((c + (b*x*(c - 1))/a)^(1/2)*(e + (b*x*(e - 1))/a)^(1/2)), x)","F"
2643,0,-1,134,0.000000,"\text{Not used}","int((e + f*x)^(1/2)/((a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{\sqrt{e+f\,x}}{\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((e + f*x)^(1/2)/((a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
2644,0,-1,101,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(c + d*x)^(1/2)*(d*x - c)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,\sqrt{c+d\,x}\,\sqrt{d\,x-c}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(c + d*x)^(1/2)*(d*x - c)^(1/2)), x)","F"
2645,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2), x)","F"
2646,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2), x)","F"
2647,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2),x)","\int \sqrt{1-2\,x}\,\sqrt{3\,x+2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2), x)","F"
2648,0,-1,98,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(1/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(1/2), x)","F"
2649,0,-1,98,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(3/2), x)","F"
2650,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(5/2), x)","F"
2651,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(7/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(7/2), x)","F"
2652,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(9/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(1/2))/(3*x + 2)^(9/2), x)","F"
2653,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2), x)","F"
2654,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2), x)","F"
2655,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2),x)","\int \sqrt{1-2\,x}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2), x)","F"
2656,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(1/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(1/2), x)","F"
2657,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(3/2), x)","F"
2658,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(5/2), x)","F"
2659,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(7/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(7/2), x)","F"
2660,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(9/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(9/2), x)","F"
2661,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(11/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(3/2))/(3*x + 2)^(11/2), x)","F"
2662,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2), x)","F"
2663,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2), x)","F"
2664,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2),x)","\int \sqrt{1-2\,x}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2), x)","F"
2665,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(1/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(1/2), x)","F"
2666,0,-1,156,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(3/2), x)","F"
2667,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(5/2), x)","F"
2668,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(7/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(7/2), x)","F"
2669,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(9/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(9/2), x)","F"
2670,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(11/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(11/2), x)","F"
2671,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(13/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(5*x + 3)^(5/2))/(3*x + 2)^(13/2), x)","F"
2672,0,-1,134,0.000000,"\text{Not used}","int((e + f*x)^(1/2)/((a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{\sqrt{e+f\,x}}{\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((e + f*x)^(1/2)/((a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
2673,0,-1,184,0.000000,"\text{Not used}","int((e + f*x)^(1/2)/((a + b*x)^(3/2)*(c + d*x)^(1/2)),x)","\int \frac{\sqrt{e+f\,x}}{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((e + f*x)^(1/2)/((a + b*x)^(3/2)*(c + d*x)^(1/2)), x)","F"
2674,0,-1,31,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(- 5*x - 3)^(1/2)),x)","\int \frac{\sqrt{1-2\,x}}{\sqrt{3\,x+2}\,\sqrt{-5\,x-3}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(- 5*x - 3)^(1/2)), x)","F"
2675,0,-1,158,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(5/2))/(5*x + 3)^(1/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(5/2))/(5*x + 3)^(1/2), x)","F"
2676,0,-1,127,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(3/2))/(5*x + 3)^(1/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(3/2))/(5*x + 3)^(1/2), x)","F"
2677,0,-1,98,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(1/2))/(5*x + 3)^(1/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{3\,x+2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(1/2))/(5*x + 3)^(1/2), x)","F"
2678,0,-1,49,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{1-2\,x}}{\sqrt{3\,x+2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2679,0,-1,61,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2680,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2681,0,-1,158,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(7/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(7/2)*(5*x + 3)^(1/2)), x)","F"
2682,0,-1,189,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(7/2))/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(7/2))/(5*x + 3)^(3/2), x)","F"
2683,0,-1,158,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(5/2))/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(5/2))/(5*x + 3)^(3/2), x)","F"
2684,0,-1,127,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(3/2))/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(3/2))/(5*x + 3)^(3/2), x)","F"
2685,0,-1,94,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(1/2))/(5*x + 3)^(3/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{3\,x+2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(1/2))/(5*x + 3)^(3/2), x)","F"
2686,0,-1,61,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2687,0,-1,117,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2688,0,-1,158,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2689,0,-1,189,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(7/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(7/2)*(5*x + 3)^(3/2)), x)","F"
2690,0,-1,218,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(9/2))/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{9/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(9/2))/(5*x + 3)^(5/2), x)","F"
2691,0,-1,189,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(7/2))/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(7/2))/(5*x + 3)^(5/2), x)","F"
2692,0,-1,156,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(5/2))/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(5/2))/(5*x + 3)^(5/2), x)","F"
2693,0,-1,125,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(3/2))/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(3/2))/(5*x + 3)^(5/2), x)","F"
2694,0,-1,125,0.000000,"\text{Not used}","int(((1 - 2*x)^(1/2)*(3*x + 2)^(1/2))/(5*x + 3)^(5/2),x)","\int \frac{\sqrt{1-2\,x}\,\sqrt{3\,x+2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(1/2)*(3*x + 2)^(1/2))/(5*x + 3)^(5/2), x)","F"
2695,0,-1,125,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2696,0,-1,150,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2697,0,-1,187,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2698,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(1/2)/((3*x + 2)^(7/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{1-2\,x}}{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(1/2)/((3*x + 2)^(7/2)*(5*x + 3)^(5/2)), x)","F"
2699,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2), x)","F"
2700,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2), x)","F"
2701,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2), x)","F"
2702,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(1/2), x)","F"
2703,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(3/2), x)","F"
2704,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(5/2), x)","F"
2705,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(7/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(7/2), x)","F"
2706,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(9/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(9/2), x)","F"
2707,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(11/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(1/2))/(3*x + 2)^(11/2), x)","F"
2708,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2), x)","F"
2709,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2), x)","F"
2710,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2), x)","F"
2711,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(1/2), x)","F"
2712,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(3/2), x)","F"
2713,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(5/2), x)","F"
2714,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(7/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(7/2), x)","F"
2715,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(9/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(9/2), x)","F"
2716,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(11/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(11/2), x)","F"
2717,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(13/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(3/2))/(3*x + 2)^(13/2), x)","F"
2718,0,-1,280,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2), x)","F"
2719,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2), x)","F"
2720,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2), x)","F"
2721,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(1/2), x)","F"
2722,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(3/2), x)","F"
2723,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(5/2), x)","F"
2724,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(7/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(7/2), x)","F"
2725,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(9/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(9/2), x)","F"
2726,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(11/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(11/2), x)","F"
2727,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(13/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(13/2), x)","F"
2728,0,-1,280,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(15/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{15/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(5*x + 3)^(5/2))/(3*x + 2)^(15/2), x)","F"
2729,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(5/2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(5/2))/(5*x + 3)^(1/2), x)","F"
2730,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(3/2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(3/2))/(5*x + 3)^(1/2), x)","F"
2731,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(1/2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(1/2))/(5*x + 3)^(1/2), x)","F"
2732,0,-1,98,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\sqrt{3\,x+2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2733,0,-1,98,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2734,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2735,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(7/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(7/2)*(5*x + 3)^(1/2)), x)","F"
2736,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(9/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{9/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(9/2)*(5*x + 3)^(1/2)), x)","F"
2737,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(7/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(7/2))/(5*x + 3)^(3/2), x)","F"
2738,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(5/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(5/2))/(5*x + 3)^(3/2), x)","F"
2739,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(3/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(3/2))/(5*x + 3)^(3/2), x)","F"
2740,0,-1,129,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(1/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(1/2))/(5*x + 3)^(3/2), x)","F"
2741,0,-1,98,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2742,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2743,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2744,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(7/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(7/2)*(5*x + 3)^(3/2)), x)","F"
2745,0,-1,222,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(9/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{9/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(9/2)*(5*x + 3)^(3/2)), x)","F"
2746,0,-1,220,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(7/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(7/2))/(5*x + 3)^(5/2), x)","F"
2747,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(5/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(5/2))/(5*x + 3)^(5/2), x)","F"
2748,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(3/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(3/2))/(5*x + 3)^(5/2), x)","F"
2749,0,-1,127,0.000000,"\text{Not used}","int(((1 - 2*x)^(3/2)*(3*x + 2)^(1/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(3/2)*(3*x + 2)^(1/2))/(5*x + 3)^(5/2), x)","F"
2750,0,-1,127,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2751,0,-1,158,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2752,0,-1,185,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2753,0,-1,222,0.000000,"\text{Not used}","int((1 - 2*x)^(3/2)/((3*x + 2)^(7/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{3/2}}{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(3/2)/((3*x + 2)^(7/2)*(5*x + 3)^(5/2)), x)","F"
2754,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2), x)","F"
2755,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2), x)","F"
2756,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}\,\sqrt{5\,x+3} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2), x)","F"
2757,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(1/2), x)","F"
2758,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(3/2), x)","F"
2759,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(5/2), x)","F"
2760,0,-1,156,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(7/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(7/2), x)","F"
2761,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(9/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(9/2), x)","F"
2762,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(11/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(11/2), x)","F"
2763,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(13/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(1/2))/(3*x + 2)^(13/2), x)","F"
2764,0,-1,280,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2), x)","F"
2765,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2), x)","F"
2766,0,-1,218,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2), x)","F"
2767,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(1/2), x)","F"
2768,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(3/2), x)","F"
2769,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(5/2), x)","F"
2770,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(7/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(7/2), x)","F"
2771,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(9/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(9/2), x)","F"
2772,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(11/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(11/2), x)","F"
2773,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(13/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(13/2), x)","F"
2774,0,-1,280,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(15/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(3\,x+2\right)}^{15/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(3/2))/(3*x + 2)^(15/2), x)","F"
2775,0,-1,280,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2), x)","F"
2776,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2),x)","\int {\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2} \,d x","Not used",1,"int((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2), x)","F"
2777,0,-1,218,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(1/2), x)","F"
2778,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(3/2), x)","F"
2779,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(5/2), x)","F"
2780,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(7/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(7/2), x)","F"
2781,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(9/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(9/2), x)","F"
2782,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(11/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(11/2), x)","F"
2783,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(13/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(13/2), x)","F"
2784,0,-1,280,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(15/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{15/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(15/2), x)","F"
2785,0,-1,311,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(17/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(3\,x+2\right)}^{17/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(5*x + 3)^(5/2))/(3*x + 2)^(17/2), x)","F"
2786,0,-1,218,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(5/2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(5/2))/(5*x + 3)^(1/2), x)","F"
2787,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(3/2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(3/2))/(5*x + 3)^(1/2), x)","F"
2788,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(1/2))/(5*x + 3)^(1/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}}{\sqrt{5\,x+3}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(1/2))/(5*x + 3)^(1/2), x)","F"
2789,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\sqrt{3\,x+2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2790,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2791,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2792,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(7/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(7/2)*(5*x + 3)^(1/2)), x)","F"
2793,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(9/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{9/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(9/2)*(5*x + 3)^(1/2)), x)","F"
2794,0,-1,222,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(11/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{11/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(11/2)*(5*x + 3)^(1/2)), x)","F"
2795,0,-1,249,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(13/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{13/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(13/2)*(5*x + 3)^(1/2)), x)","F"
2796,0,-1,249,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(7/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(7/2))/(5*x + 3)^(3/2), x)","F"
2797,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(5/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(5/2))/(5*x + 3)^(3/2), x)","F"
2798,0,-1,191,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(3/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(3/2))/(5*x + 3)^(3/2), x)","F"
2799,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(1/2))/(5*x + 3)^(3/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}}{{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(1/2))/(5*x + 3)^(3/2), x)","F"
2800,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2801,0,-1,129,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2802,0,-1,160,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2803,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(7/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(7/2)*(5*x + 3)^(3/2)), x)","F"
2804,0,-1,222,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(9/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{9/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(9/2)*(5*x + 3)^(3/2)), x)","F"
2805,0,-1,253,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(11/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{11/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(11/2)*(5*x + 3)^(3/2)), x)","F"
2806,0,-1,253,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(7/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(7/2))/(5*x + 3)^(5/2), x)","F"
2807,0,-1,222,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(5/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(5/2))/(5*x + 3)^(5/2), x)","F"
2808,0,-1,189,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(3/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(3/2))/(5*x + 3)^(5/2), x)","F"
2809,0,-1,160,0.000000,"\text{Not used}","int(((1 - 2*x)^(5/2)*(3*x + 2)^(1/2))/(5*x + 3)^(5/2),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}}{{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(((1 - 2*x)^(5/2)*(3*x + 2)^(1/2))/(5*x + 3)^(5/2), x)","F"
2810,0,-1,127,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2811,0,-1,158,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2812,0,-1,191,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2813,0,-1,222,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(7/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(7/2)*(5*x + 3)^(5/2)), x)","F"
2814,0,-1,251,0.000000,"\text{Not used}","int((1 - 2*x)^(5/2)/((3*x + 2)^(9/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(1-2\,x\right)}^{5/2}}{{\left(3\,x+2\right)}^{9/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((1 - 2*x)^(5/2)/((3*x + 2)^(9/2)*(5*x + 3)^(5/2)), x)","F"
2815,0,-1,158,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2), x)","F"
2816,0,-1,127,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2), x)","F"
2817,0,-1,98,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2),x)","\int \frac{\sqrt{3\,x+2}\,\sqrt{5\,x+3}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(1/2), x)","F"
2818,0,-1,31,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)),x)","\int \frac{\sqrt{5\,x+3}}{\sqrt{1-2\,x}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)), x)","F"
2819,0,-1,81,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)),x)","\int \frac{\sqrt{5\,x+3}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)), x)","F"
2820,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)),x)","\int \frac{\sqrt{5\,x+3}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)), x)","F"
2821,0,-1,158,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)),x)","\int \frac{\sqrt{5\,x+3}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)), x)","F"
2822,0,-1,191,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2), x)","F"
2823,0,-1,160,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2), x)","F"
2824,0,-1,129,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2),x)","\int \frac{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(1/2), x)","F"
2825,0,-1,98,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)), x)","F"
2826,0,-1,98,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)), x)","F"
2827,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)), x)","F"
2828,0,-1,160,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)), x)","F"
2829,0,-1,191,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(9/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(9/2)), x)","F"
2830,0,-1,249,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2831,0,-1,218,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2832,0,-1,191,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2833,0,-1,160,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2),x)","\int \frac{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(1/2), x)","F"
2834,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)), x)","F"
2835,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)), x)","F"
2836,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)), x)","F"
2837,0,-1,160,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)), x)","F"
2838,0,-1,191,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(9/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(9/2)), x)","F"
2839,0,-1,222,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(11/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(11/2)), x)","F"
2840,0,-1,249,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(13/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{13/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(1/2)*(3*x + 2)^(13/2)), x)","F"
2841,0,-1,12,0.000000,"\text{Not used}","int(1/((x + 1)^(1/2)*(x + 2)^(1/2)*(x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{x+1}\,\sqrt{x+2}\,\sqrt{x+3}} \,d x","Not used",1,"int(1/((x + 1)^(1/2)*(x + 2)^(1/2)*(x + 3)^(1/2)), x)","F"
2842,0,-1,16,0.000000,"\text{Not used}","int(1/((x + 1)^(1/2)*(x + 2)^(1/2)*(3 - x)^(1/2)),x)","\int \frac{1}{\sqrt{x+1}\,\sqrt{x+2}\,\sqrt{3-x}} \,d x","Not used",1,"int(1/((x + 1)^(1/2)*(x + 2)^(1/2)*(3 - x)^(1/2)), x)","F"
2843,0,-1,24,0.000000,"\text{Not used}","int(1/((x + 1)^(1/2)*(2 - x)^(1/2)*(x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{x+1}\,\sqrt{2-x}\,\sqrt{x+3}} \,d x","Not used",1,"int(1/((x + 1)^(1/2)*(2 - x)^(1/2)*(x + 3)^(1/2)), x)","F"
2844,0,-1,18,0.000000,"\text{Not used}","int(1/((x + 1)^(1/2)*(2 - x)^(1/2)*(3 - x)^(1/2)),x)","\int \frac{1}{\sqrt{x+1}\,\sqrt{2-x}\,\sqrt{3-x}} \,d x","Not used",1,"int(1/((x + 1)^(1/2)*(2 - x)^(1/2)*(3 - x)^(1/2)), x)","F"
2845,0,-1,18,0.000000,"\text{Not used}","int(1/((1 - x)^(1/2)*(x + 2)^(1/2)*(x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{1-x}\,\sqrt{x+2}\,\sqrt{x+3}} \,d x","Not used",1,"int(1/((1 - x)^(1/2)*(x + 2)^(1/2)*(x + 3)^(1/2)), x)","F"
2846,0,-1,25,0.000000,"\text{Not used}","int(1/((1 - x)^(1/2)*(x + 2)^(1/2)*(3 - x)^(1/2)),x)","\int \frac{1}{\sqrt{1-x}\,\sqrt{x+2}\,\sqrt{3-x}} \,d x","Not used",1,"int(1/((1 - x)^(1/2)*(x + 2)^(1/2)*(3 - x)^(1/2)), x)","F"
2847,0,-1,23,0.000000,"\text{Not used}","int(1/((1 - x)^(1/2)*(2 - x)^(1/2)*(x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{1-x}\,\sqrt{2-x}\,\sqrt{x+3}} \,d x","Not used",1,"int(1/((1 - x)^(1/2)*(2 - x)^(1/2)*(x + 3)^(1/2)), x)","F"
2848,0,-1,14,0.000000,"\text{Not used}","int(1/((1 - x)^(1/2)*(2 - x)^(1/2)*(3 - x)^(1/2)),x)","\int \frac{1}{\sqrt{1-x}\,\sqrt{2-x}\,\sqrt{3-x}} \,d x","Not used",1,"int(1/((1 - x)^(1/2)*(2 - x)^(1/2)*(3 - x)^(1/2)), x)","F"
2849,0,-1,12,0.000000,"\text{Not used}","int(1/((x - 1)^(1/2)*(x - 2)^(1/2)*(x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{x-1}\,\sqrt{x-2}\,\sqrt{x-3}} \,d x","Not used",1,"int(1/((x - 1)^(1/2)*(x - 2)^(1/2)*(x - 3)^(1/2)), x)","F"
2850,0,-1,57,0.000000,"\text{Not used}","int(1/((x - 1)^(1/2)*(x - 2)^(1/2)*(- x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{x-1}\,\sqrt{x-2}\,\sqrt{-x-3}} \,d x","Not used",1,"int(1/((x - 1)^(1/2)*(x - 2)^(1/2)*(- x - 3)^(1/2)), x)","F"
2851,0,-1,41,0.000000,"\text{Not used}","int(1/((x - 1)^(1/2)*(- x - 2)^(1/2)*(x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{x-1}\,\sqrt{-x-2}\,\sqrt{x-3}} \,d x","Not used",1,"int(1/((x - 1)^(1/2)*(- x - 2)^(1/2)*(x - 3)^(1/2)), x)","F"
2852,0,-1,92,0.000000,"\text{Not used}","int(1/((x - 1)^(1/2)*(- x - 2)^(1/2)*(- x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{x-1}\,\sqrt{-x-2}\,\sqrt{-x-3}} \,d x","Not used",1,"int(1/((x - 1)^(1/2)*(- x - 2)^(1/2)*(- x - 3)^(1/2)), x)","F"
2853,0,-1,41,0.000000,"\text{Not used}","int(1/((- x - 1)^(1/2)*(x - 2)^(1/2)*(x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{-x-1}\,\sqrt{x-2}\,\sqrt{x-3}} \,d x","Not used",1,"int(1/((- x - 1)^(1/2)*(x - 2)^(1/2)*(x - 3)^(1/2)), x)","F"
2854,0,-1,57,0.000000,"\text{Not used}","int(1/((- x - 1)^(1/2)*(x - 2)^(1/2)*(- x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{-x-1}\,\sqrt{x-2}\,\sqrt{-x-3}} \,d x","Not used",1,"int(1/((- x - 1)^(1/2)*(x - 2)^(1/2)*(- x - 3)^(1/2)), x)","F"
2855,0,-1,57,0.000000,"\text{Not used}","int(1/((- x - 1)^(1/2)*(- x - 2)^(1/2)*(x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{-x-1}\,\sqrt{-x-2}\,\sqrt{x-3}} \,d x","Not used",1,"int(1/((- x - 1)^(1/2)*(- x - 2)^(1/2)*(x - 3)^(1/2)), x)","F"
2856,0,-1,14,0.000000,"\text{Not used}","int(1/((- x - 1)^(1/2)*(- x - 2)^(1/2)*(- x - 3)^(1/2)),x)","\int \frac{1}{\sqrt{-x-1}\,\sqrt{-x-2}\,\sqrt{-x-3}} \,d x","Not used",1,"int(1/((- x - 1)^(1/2)*(- x - 2)^(1/2)*(- x - 3)^(1/2)), x)","F"
2857,0,-1,204,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(1/2)), x)","F"
2858,0,-1,437,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/2)*(a + b*x)^(5/2)*(c + d*x)^(1/2)),x)","\int \frac{1}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/2)*(a + b*x)^(5/2)*(c + d*x)^(1/2)), x)","F"
2859,0,-1,158,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{\sqrt{1-2\,x}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2860,0,-1,127,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{\sqrt{1-2\,x}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2861,0,-1,96,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{\sqrt{1-2\,x}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2862,0,-1,31,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{3\,x+2}}{\sqrt{1-2\,x}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2863,0,-1,29,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,\sqrt{3\,x+2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2864,0,-1,63,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2865,0,-1,127,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2866,0,-1,158,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)*(5*x + 3)^(1/2)), x)","F"
2867,0,-1,160,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2868,0,-1,129,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2869,0,-1,98,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2870,0,-1,81,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{3\,x+2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2871,0,-1,63,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2872,0,-1,129,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2873,0,-1,160,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2874,0,-1,191,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)*(5*x + 3)^(3/2)), x)","F"
2875,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(9/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(9/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2876,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2877,0,-1,125,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2878,0,-1,125,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2879,0,-1,125,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{3\,x+2}}{\sqrt{1-2\,x}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2880,0,-1,125,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2881,0,-1,156,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2882,0,-1,187,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2883,0,-1,218,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{\sqrt{1-2\,x}\,{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(1/2)*(3*x + 2)^(7/2)*(5*x + 3)^(5/2)), x)","F"
2884,0,-1,86,0.000000,"\text{Not used}","int(x^(1/2)/((a + 2*x)^(1/2)*(c + 2*x)^(1/2)),x)","\int \frac{\sqrt{x}}{\sqrt{a+2\,x}\,\sqrt{c+2\,x}} \,d x","Not used",1,"int(x^(1/2)/((a + 2*x)^(1/2)*(c + 2*x)^(1/2)), x)","F"
2885,0,-1,18,0.000000,"\text{Not used}","int(1/((x - 3)^(1/2)*(4 - x)^(1/2)*(5 - x)^(1/2)),x)","\int \frac{1}{\sqrt{x-3}\,\sqrt{4-x}\,\sqrt{5-x}} \,d x","Not used",1,"int(1/((x - 3)^(1/2)*(4 - x)^(1/2)*(5 - x)^(1/2)), x)","F"
2886,0,-1,14,0.000000,"\text{Not used}","int(1/((-(x - 3)*(x - 5))^(1/2)*(4 - x)^(1/2)),x)","\int \frac{1}{\sqrt{-\left(x-3\right)\,\left(x-5\right)}\,\sqrt{4-x}} \,d x","Not used",1,"int(1/((-(x - 3)*(x - 5))^(1/2)*(4 - x)^(1/2)), x)","F"
2887,0,-1,14,0.000000,"\text{Not used}","int(1/((4 - x)^(1/2)*(8*x - x^2 - 15)^(1/2)),x)","\int \frac{1}{\sqrt{4-x}\,\sqrt{-x^2+8\,x-15}} \,d x","Not used",1,"int(1/((4 - x)^(1/2)*(8*x - x^2 - 15)^(1/2)), x)","F"
2888,0,-1,16,0.000000,"\text{Not used}","int(1/((x - 1)^(1/2)*(x - 2)^(1/2)*(6 - x)^(1/2)),x)","\int \frac{1}{\sqrt{x-1}\,\sqrt{x-2}\,\sqrt{6-x}} \,d x","Not used",1,"int(1/((x - 1)^(1/2)*(x - 2)^(1/2)*(6 - x)^(1/2)), x)","F"
2889,0,-1,25,0.000000,"\text{Not used}","int(1/((-(x - 2)*(x - 6))^(1/2)*(x - 1)^(1/2)),x)","\int \frac{1}{\sqrt{-\left(x-2\right)\,\left(x-6\right)}\,\sqrt{x-1}} \,d x","Not used",1,"int(1/((-(x - 2)*(x - 6))^(1/2)*(x - 1)^(1/2)), x)","F"
2890,0,-1,25,0.000000,"\text{Not used}","int(1/((x - 1)^(1/2)*(8*x - x^2 - 12)^(1/2)),x)","\int \frac{1}{\sqrt{x-1}\,\sqrt{-x^2+8\,x-12}} \,d x","Not used",1,"int(1/((x - 1)^(1/2)*(8*x - x^2 - 12)^(1/2)), x)","F"
2891,0,-1,186,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2892,0,-1,155,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2893,0,-1,122,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2894,0,-1,85,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2),x)","\int \frac{\sqrt{3\,x+2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(3/2), x)","F"
2895,0,-1,62,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)), x)","F"
2896,0,-1,125,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)), x)","F"
2897,0,-1,158,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)), x)","F"
2898,0,-1,189,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)), x)","F"
2899,0,-1,219,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2900,0,-1,188,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2901,0,-1,157,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2902,0,-1,126,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2),x)","\int \frac{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(3/2), x)","F"
2903,0,-1,98,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)), x)","F"
2904,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)), x)","F"
2905,0,-1,160,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)), x)","F"
2906,0,-1,191,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)), x)","F"
2907,0,-1,222,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(9/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(9/2)), x)","F"
2908,0,-1,246,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2909,0,-1,219,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2910,0,-1,188,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2911,0,-1,155,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2),x)","\int \frac{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(3/2), x)","F"
2912,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)), x)","F"
2913,0,-1,129,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)), x)","F"
2914,0,-1,160,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)), x)","F"
2915,0,-1,191,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)), x)","F"
2916,0,-1,222,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(9/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(9/2)), x)","F"
2917,0,-1,253,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(11/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{11/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(3/2)*(3*x + 2)^(11/2)), x)","F"
2918,0,-1,160,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2919,0,-1,129,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2920,0,-1,98,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2921,0,-1,62,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{3\,x+2}}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2922,0,-1,81,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2923,0,-1,129,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2924,0,-1,160,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2925,0,-1,191,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)*(5*x + 3)^(1/2)), x)","F"
2926,0,-1,191,0.000000,"\text{Not used}","int((3*x + 2)^(9/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(9/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2927,0,-1,160,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2928,0,-1,129,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2929,0,-1,129,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2930,0,-1,129,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{3\,x+2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2931,0,-1,129,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2932,0,-1,160,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2933,0,-1,191,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2934,0,-1,222,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)*(5*x + 3)^(3/2)), x)","F"
2935,0,-1,218,0.000000,"\text{Not used}","int((3*x + 2)^(11/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{11/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(11/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2936,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(9/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(9/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2937,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2938,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2939,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2940,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{3\,x+2}}{{\left(1-2\,x\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2941,0,-1,156,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2942,0,-1,187,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2943,0,-1,218,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2944,0,-1,249,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{3/2}\,{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(3/2)*(3*x + 2)^(7/2)*(5*x + 3)^(5/2)), x)","F"
2945,0,-1,218,0.000000,"\text{Not used}","int(((3*x + 2)^(9/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(9/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2946,0,-1,187,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2947,0,-1,156,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2948,0,-1,123,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2949,0,-1,125,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2),x)","\int \frac{\sqrt{3\,x+2}\,\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(1/2))/(1 - 2*x)^(5/2), x)","F"
2950,0,-1,125,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)), x)","F"
2951,0,-1,156,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)), x)","F"
2952,0,-1,187,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)), x)","F"
2953,0,-1,220,0.000000,"\text{Not used}","int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)),x)","\int \frac{\sqrt{5\,x+3}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(1/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)), x)","F"
2954,0,-1,222,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2955,0,-1,191,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2956,0,-1,158,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2957,0,-1,127,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2),x)","\int \frac{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(3/2))/(1 - 2*x)^(5/2), x)","F"
2958,0,-1,127,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)), x)","F"
2959,0,-1,158,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)), x)","F"
2960,0,-1,191,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)), x)","F"
2961,0,-1,222,0.000000,"\text{Not used}","int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)),x)","\int \frac{{\left(5\,x+3\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(3/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)), x)","F"
2962,0,-1,253,0.000000,"\text{Not used}","int(((3*x + 2)^(7/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(7/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2963,0,-1,220,0.000000,"\text{Not used}","int(((3*x + 2)^(5/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(5/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2964,0,-1,189,0.000000,"\text{Not used}","int(((3*x + 2)^(3/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(3/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2965,0,-1,160,0.000000,"\text{Not used}","int(((3*x + 2)^(1/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2),x)","\int \frac{\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((3*x + 2)^(1/2)*(5*x + 3)^(5/2))/(1 - 2*x)^(5/2), x)","F"
2966,0,-1,127,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)), x)","F"
2967,0,-1,158,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)), x)","F"
2968,0,-1,191,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)), x)","F"
2969,0,-1,220,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)), x)","F"
2970,0,-1,253,0.000000,"\text{Not used}","int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(9/2)),x)","\int \frac{{\left(5\,x+3\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{9/2}} \,d x","Not used",1,"int((5*x + 3)^(5/2)/((1 - 2*x)^(5/2)*(3*x + 2)^(9/2)), x)","F"
2971,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(9/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(9/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2972,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2973,0,-1,125,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2974,0,-1,125,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2975,0,-1,125,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{\sqrt{3\,x+2}}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2976,0,-1,125,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(1/2)), x)","F"
2977,0,-1,156,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(1/2)), x)","F"
2978,0,-1,187,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(1/2)), x)","F"
2979,0,-1,218,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)*(5*x + 3)^(1/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}\,\sqrt{5\,x+3}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)*(5*x + 3)^(1/2)), x)","F"
2980,0,-1,218,0.000000,"\text{Not used}","int((3*x + 2)^(11/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{11/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(11/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2981,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(9/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(9/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2982,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2983,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2984,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2985,0,-1,156,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{\sqrt{3\,x+2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2986,0,-1,156,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(3/2)), x)","F"
2987,0,-1,187,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(3/2)), x)","F"
2988,0,-1,218,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(3/2)), x)","F"
2989,0,-1,249,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)*(5*x + 3)^(3/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)*(5*x + 3)^(3/2)), x)","F"
2990,0,-1,249,0.000000,"\text{Not used}","int((3*x + 2)^(13/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{13/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(13/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2991,0,-1,218,0.000000,"\text{Not used}","int((3*x + 2)^(11/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{11/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(11/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2992,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(9/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{9/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(9/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2993,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(7/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{7/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(7/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2994,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(5/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{5/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(5/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2995,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(3/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{{\left(3\,x+2\right)}^{3/2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(3/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2996,0,-1,187,0.000000,"\text{Not used}","int((3*x + 2)^(1/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{\sqrt{3\,x+2}}{{\left(1-2\,x\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 2)^(1/2)/((1 - 2*x)^(5/2)*(5*x + 3)^(5/2)), x)","F"
2997,0,-1,187,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,\sqrt{3\,x+2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(1/2)*(5*x + 3)^(5/2)), x)","F"
2998,0,-1,218,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{3/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(3/2)*(5*x + 3)^(5/2)), x)","F"
2999,0,-1,249,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{5/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(5/2)*(5*x + 3)^(5/2)), x)","F"
3000,0,-1,280,0.000000,"\text{Not used}","int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)*(5*x + 3)^(5/2)),x)","\int \frac{1}{{\left(1-2\,x\right)}^{5/2}\,{\left(3\,x+2\right)}^{7/2}\,{\left(5\,x+3\right)}^{5/2}} \,d x","Not used",1,"int(1/((1 - 2*x)^(5/2)*(3*x + 2)^(7/2)*(5*x + 3)^(5/2)), x)","F"
3001,0,-1,571,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*x)^(1/3)*(c + d*x)^(2/3),x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3} \,d x","Not used",1,"int((e + f*x)^2*(a + b*x)^(1/3)*(c + d*x)^(2/3), x)","F"
3002,0,-1,331,0.000000,"\text{Not used}","int((e + f*x)*(a + b*x)^(1/3)*(c + d*x)^(2/3),x)","\int \left(e+f\,x\right)\,{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3} \,d x","Not used",1,"int((e + f*x)*(a + b*x)^(1/3)*(c + d*x)^(2/3), x)","F"
3003,0,-1,219,0.000000,"\text{Not used}","int((a + b*x)^(1/3)*(c + d*x)^(2/3),x)","\int {\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"
3004,0,-1,409,0.000000,"\text{Not used}","int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x), x)","F"
3005,0,-1,417,0.000000,"\text{Not used}","int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^2, x)","F"
3006,0,-1,325,0.000000,"\text{Not used}","int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^3, x)","F"
3007,0,-1,465,0.000000,"\text{Not used}","int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^4,x)","\int \frac{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}}{{\left(e+f\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^4, x)","F"
3008,0,-1,475,0.000000,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^(1/3))/(c + d*x)^(1/3),x)","\int \frac{{\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^{1/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(((e + f*x)^2*(a + b*x)^(1/3))/(c + d*x)^(1/3), x)","F"
3009,0,-1,273,0.000000,"\text{Not used}","int(((e + f*x)*(a + b*x)^(1/3))/(c + d*x)^(1/3),x)","\int \frac{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^{1/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(((e + f*x)*(a + b*x)^(1/3))/(c + d*x)^(1/3), x)","F"
3010,0,-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"
3011,0,-1,339,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/((e + f*x)*(c + d*x)^(1/3)),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/((e + f*x)*(c + d*x)^(1/3)), x)","F"
3012,0,-1,256,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/((e + f*x)^2*(c + d*x)^(1/3)),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/((e + f*x)^2*(c + d*x)^(1/3)), x)","F"
3013,0,-1,386,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/((e + f*x)^3*(c + d*x)^(1/3)),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{{\left(e+f\,x\right)}^3\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/((e + f*x)^3*(c + d*x)^(1/3)), x)","F"
3014,0,-1,591,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/((e + f*x)^4*(c + d*x)^(1/3)),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{{\left(e+f\,x\right)}^4\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/((e + f*x)^4*(c + d*x)^(1/3)), x)","F"
3015,0,-1,587,0.000000,"\text{Not used}","int((e + f*x)^3/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{{\left(e+f\,x\right)}^3}{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((e + f*x)^3/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
3016,0,-1,369,0.000000,"\text{Not used}","int((e + f*x)^2/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{{\left(e+f\,x\right)}^2}{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((e + f*x)^2/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
3017,0,-1,200,0.000000,"\text{Not used}","int((e + f*x)/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{e+f\,x}{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((e + f*x)/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
3018,0,-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"
3019,0,-1,197,0.000000,"\text{Not used}","int(1/((e + f*x)*(a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((e + f*x)*(a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
3020,0,-1,293,0.000000,"\text{Not used}","int(1/((e + f*x)^2*(a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((e + f*x)^2*(a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
3021,0,-1,477,0.000000,"\text{Not used}","int(1/((e + f*x)^3*(a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(e+f\,x\right)}^3\,{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((e + f*x)^3*(a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
3022,0,-1,1389,0.000000,"\text{Not used}","int((a + b*x)^3/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{{\left(a+b\,x\right)}^3}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^3/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3023,0,-1,1373,0.000000,"\text{Not used}","int((a + b*x)^2/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^2/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3024,0,-1,1326,0.000000,"\text{Not used}","int((a + b*x)/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{a+b\,x}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3025,0,-1,1283,0.000000,"\text{Not used}","int(1/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{1}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3026,0,-1,178,0.000000,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{1}{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3027,0,-1,1510,0.000000,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^2*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3028,0,-1,1558,0.000000,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^3\,{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^3*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(1/3)), x)","F"
3029,0,-1,1388,0.000000,"\text{Not used}","int((a + b*x)^3/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\int \frac{{\left(a+b\,x\right)}^3}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^3/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)), x)","F"
3030,0,-1,1366,0.000000,"\text{Not used}","int((a + b*x)^2/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\int \frac{{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^2/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)), x)","F"
3031,1,75,32,3.054090,"\text{Not used}","int((a + b*x)/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\frac{\left(\frac{3\,c}{4\,b\,d^3}+\frac{3\,x}{4\,b\,d^2}\right)\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{2/3}}{x\,{\left(c+d\,x\right)}^{1/3}+\frac{\left(2\,a\,d^3+2\,b\,c\,d^2\right)\,{\left(c+d\,x\right)}^{1/3}}{4\,b\,d^3}}","Not used",1,"(((3*c)/(4*b*d^3) + (3*x)/(4*b*d^2))*(a*d + b*c + 2*b*d*x)^(2/3))/(x*(c + d*x)^(1/3) + ((2*a*d^3 + 2*b*c*d^2)*(c + d*x)^(1/3))/(4*b*d^3))","B"
3032,0,-1,1333,0.000000,"\text{Not used}","int(1/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\int \frac{1}{{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)), x)","F"
3033,0,-1,113,0.000000,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\int \frac{1}{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)), x)","F"
3034,0,-1,114,0.000000,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^2*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)), x)","F"
3035,0,-1,116,0.000000,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^3\,{\left(c+d\,x\right)}^{1/3}\,{\left(a\,d+b\,c+2\,b\,d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^3*(c + d*x)^(1/3)*(a*d + b*c + 2*b*d*x)^(4/3)), x)","F"
3036,0,-1,120,0.000000,"\text{Not used}","int(1/((d + e*x)*(d - 3*e*x)^(1/3)*(d + 3*e*x)^(1/3)),x)","\int \frac{1}{\left(d+e\,x\right)\,{\left(d-3\,e\,x\right)}^{1/3}\,{\left(d+3\,e\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((d + e*x)*(d - 3*e*x)^(1/3)*(d + 3*e*x)^(1/3)), x)","F"
3037,0,-1,562,0.000000,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^(4/3))/(c + d*x)^(4/3),x)","\int \frac{{\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^{4/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(((e + f*x)^2*(a + b*x)^(4/3))/(c + d*x)^(4/3), x)","F"
3038,0,-1,328,0.000000,"\text{Not used}","int(((e + f*x)*(a + b*x)^(4/3))/(c + d*x)^(4/3),x)","\int \frac{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^{4/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(((e + f*x)*(a + b*x)^(4/3))/(c + d*x)^(4/3), x)","F"
3039,0,-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"
3040,0,-1,380,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/((e + f*x)*(c + d*x)^(4/3)),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/((e + f*x)*(c + d*x)^(4/3)), x)","F"
3041,0,-1,301,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/((e + f*x)^2*(c + d*x)^(4/3)),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/((e + f*x)^2*(c + d*x)^(4/3)), x)","F"
3042,0,-1,434,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/((e + f*x)^3*(c + d*x)^(4/3)),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{{\left(e+f\,x\right)}^3\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/((e + f*x)^3*(c + d*x)^(4/3)), x)","F"
3043,0,-1,645,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/((e + f*x)^4*(c + d*x)^(4/3)),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{{\left(e+f\,x\right)}^4\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/((e + f*x)^4*(c + d*x)^(4/3)), x)","F"
3044,0,-1,266,0.000000,"\text{Not used}","int(1/((e + f*x)^(1/4)*(a + b*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{{\left(e+f\,x\right)}^{1/4}\,\left(a+b\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(1/4)*(a + b*x)*(c + d*x)^(1/2)), x)","F"
3045,0,-1,252,0.000000,"\text{Not used}","int(1/((e + f*x)^(3/4)*(a + b*x)*(c + d*x)^(1/2)),x)","\int \frac{1}{{\left(e+f\,x\right)}^{3/4}\,\left(a+b\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(1/((e + f*x)^(3/4)*(a + b*x)*(c + d*x)^(1/2)), x)","F"
3046,0,-1,125,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x)^p)/(d + e*x)^(p + 2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a+b\,x\right)}^p}{{\left(d+e\,x\right)}^{p+2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x)^p)/(d + e*x)^(p + 2), x)","F"
3047,0,-1,134,0.000000,"\text{Not used}","int(((a + b*x)*(c + d*x)^n)/(e + f*x)^n,x)","\int \frac{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^n} \,d x","Not used",1,"int(((a + b*x)*(c + d*x)^n)/(e + f*x)^n, x)","F"
3048,0,-1,152,0.000000,"\text{Not used}","int(((a + b*x)*(c + d*x)^(n - 1))/(e + f*x)^n,x)","\int \frac{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^{n-1}}{{\left(e+f\,x\right)}^n} \,d x","Not used",1,"int(((a + b*x)*(c + d*x)^(n - 1))/(e + f*x)^n, x)","F"
3049,0,-1,117,0.000000,"\text{Not used}","int(((a + b*x)*(c + d*x)^(n - 2))/(e + f*x)^n,x)","\int \frac{\left(a+b\,x\right)\,{\left(c+d\,x\right)}^{n-2}}{{\left(e+f\,x\right)}^n} \,d x","Not used",1,"int(((a + b*x)*(c + d*x)^(n - 2))/(e + f*x)^n, x)","F"
3050,1,358,123,2.853055,"\text{Not used}","int(((a + b*x)*(c + d*x)^(n - 3))/(e + f*x)^n,x)","\frac{x\,{\left(c+d\,x\right)}^{n-3}\,\left(2\,a\,c^2\,f^2-a\,d^2\,e^2-3\,b\,c\,d\,e^2-a\,c^2\,f^2\,n+a\,d^2\,e^2\,n+2\,a\,c\,d\,e\,f+b\,c\,d\,e^2\,n-b\,c^2\,e\,f\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^2\,\left(n^2-3\,n+2\right)}+\frac{x^2\,{\left(c+d\,x\right)}^{n-3}\,\left(b\,c^2\,f^2-2\,b\,d^2\,e^2+3\,a\,c\,d\,f^2-b\,c^2\,f^2\,n+b\,d^2\,e^2\,n-2\,b\,c\,d\,e\,f-a\,c\,d\,f^2\,n+a\,d^2\,e\,f\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^2\,\left(n^2-3\,n+2\right)}-\frac{c\,e\,{\left(c+d\,x\right)}^{n-3}\,\left(a\,d\,e-2\,a\,c\,f+b\,c\,e+a\,c\,f\,n-a\,d\,e\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^2\,\left(n^2-3\,n+2\right)}+\frac{d\,f\,x^3\,{\left(c+d\,x\right)}^{n-3}\,\left(a\,d\,f+b\,c\,f-2\,b\,d\,e-b\,c\,f\,n+b\,d\,e\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^2\,\left(n^2-3\,n+2\right)}","Not used",1,"(x*(c + d*x)^(n - 3)*(2*a*c^2*f^2 - a*d^2*e^2 - 3*b*c*d*e^2 - a*c^2*f^2*n + a*d^2*e^2*n + 2*a*c*d*e*f + b*c*d*e^2*n - b*c^2*e*f*n))/((e + f*x)^n*(c*f - d*e)^2*(n^2 - 3*n + 2)) + (x^2*(c + d*x)^(n - 3)*(b*c^2*f^2 - 2*b*d^2*e^2 + 3*a*c*d*f^2 - b*c^2*f^2*n + b*d^2*e^2*n - 2*b*c*d*e*f - a*c*d*f^2*n + a*d^2*e*f*n))/((e + f*x)^n*(c*f - d*e)^2*(n^2 - 3*n + 2)) - (c*e*(c + d*x)^(n - 3)*(a*d*e - 2*a*c*f + b*c*e + a*c*f*n - a*d*e*n))/((e + f*x)^n*(c*f - d*e)^2*(n^2 - 3*n + 2)) + (d*f*x^3*(c + d*x)^(n - 3)*(a*d*f + b*c*f - 2*b*d*e - b*c*f*n + b*d*e*n))/((e + f*x)^n*(c*f - d*e)^2*(n^2 - 3*n + 2))","B"
3051,1,874,207,3.431808,"\text{Not used}","int(((a + b*x)*(c + d*x)^(n - 4))/(e + f*x)^n,x)","-\frac{x\,{\left(c+d\,x\right)}^{n-4}\,\left(b\,c^3\,e\,f^2\,n^2-3\,b\,c^3\,e\,f^2\,n+a\,c^3\,f^3\,n^2-5\,a\,c^3\,f^3\,n+6\,a\,c^3\,f^3-2\,b\,c^2\,d\,e^2\,f\,n^2+8\,b\,c^2\,d\,e^2\,f\,n-12\,b\,c^2\,d\,e^2\,f-a\,c^2\,d\,e\,f^2\,n^2+a\,c^2\,d\,e\,f^2\,n+6\,a\,c^2\,d\,e\,f^2+b\,c\,d^2\,e^3\,n^2-5\,b\,c\,d^2\,e^3\,n+4\,b\,c\,d^2\,e^3-a\,c\,d^2\,e^2\,f\,n^2+7\,a\,c\,d^2\,e^2\,f\,n-6\,a\,c\,d^2\,e^2\,f+a\,d^3\,e^3\,n^2-3\,a\,d^3\,e^3\,n+2\,a\,d^3\,e^3\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^3\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{x^2\,{\left(c+d\,x\right)}^{n-4}\,\left(b\,c^3\,f^3\,n^2-4\,b\,c^3\,f^3\,n+3\,b\,c^3\,f^3-b\,c^2\,d\,e\,f^2\,n^2+4\,b\,c^2\,d\,e\,f^2\,n-9\,b\,c^2\,d\,e\,f^2+a\,c^2\,d\,f^3\,n^2-7\,a\,c^2\,d\,f^3\,n+12\,a\,c^2\,d\,f^3-b\,c\,d^2\,e^2\,f\,n^2+4\,b\,c\,d^2\,e^2\,f\,n-9\,b\,c\,d^2\,e^2\,f-2\,a\,c\,d^2\,e\,f^2\,n^2+8\,a\,c\,d^2\,e\,f^2\,n+b\,d^3\,e^3\,n^2-4\,b\,d^3\,e^3\,n+3\,b\,d^3\,e^3+a\,d^3\,e^2\,f\,n^2-a\,d^3\,e^2\,f\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^3\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{c\,e\,{\left(c+d\,x\right)}^{n-4}\,\left(b\,c^2\,e\,f\,n-3\,b\,c^2\,e\,f+a\,c^2\,f^2\,n^2-5\,a\,c^2\,f^2\,n+6\,a\,c^2\,f^2-b\,c\,d\,e^2\,n+b\,c\,d\,e^2-2\,a\,c\,d\,e\,f\,n^2+8\,a\,c\,d\,e\,f\,n-6\,a\,c\,d\,e\,f+a\,d^2\,e^2\,n^2-3\,a\,d^2\,e^2\,n+2\,a\,d^2\,e^2\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^3\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{d^2\,f^2\,x^4\,{\left(c+d\,x\right)}^{n-4}\,\left(2\,a\,d\,f+b\,c\,f-3\,b\,d\,e-b\,c\,f\,n+b\,d\,e\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^3\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{d\,f\,x^3\,{\left(c+d\,x\right)}^{n-4}\,\left(4\,c\,f-c\,f\,n+d\,e\,n\right)\,\left(2\,a\,d\,f+b\,c\,f-3\,b\,d\,e-b\,c\,f\,n+b\,d\,e\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^3\,\left(n^3-6\,n^2+11\,n-6\right)}","Not used",1,"- (x*(c + d*x)^(n - 4)*(6*a*c^3*f^3 + 2*a*d^3*e^3 + a*c^3*f^3*n^2 + a*d^3*e^3*n^2 + 4*b*c*d^2*e^3 - 5*a*c^3*f^3*n - 3*a*d^3*e^3*n - 6*a*c*d^2*e^2*f + 6*a*c^2*d*e*f^2 - 12*b*c^2*d*e^2*f - 5*b*c*d^2*e^3*n - 3*b*c^3*e*f^2*n + b*c*d^2*e^3*n^2 + b*c^3*e*f^2*n^2 + 7*a*c*d^2*e^2*f*n + a*c^2*d*e*f^2*n + 8*b*c^2*d*e^2*f*n - a*c*d^2*e^2*f*n^2 - a*c^2*d*e*f^2*n^2 - 2*b*c^2*d*e^2*f*n^2))/((e + f*x)^n*(c*f - d*e)^3*(11*n - 6*n^2 + n^3 - 6)) - (x^2*(c + d*x)^(n - 4)*(3*b*c^3*f^3 + 3*b*d^3*e^3 + b*c^3*f^3*n^2 + b*d^3*e^3*n^2 + 12*a*c^2*d*f^3 - 4*b*c^3*f^3*n - 4*b*d^3*e^3*n - 9*b*c*d^2*e^2*f - 9*b*c^2*d*e*f^2 - 7*a*c^2*d*f^3*n - a*d^3*e^2*f*n + a*c^2*d*f^3*n^2 + a*d^3*e^2*f*n^2 + 8*a*c*d^2*e*f^2*n + 4*b*c*d^2*e^2*f*n + 4*b*c^2*d*e*f^2*n - 2*a*c*d^2*e*f^2*n^2 - b*c*d^2*e^2*f*n^2 - b*c^2*d*e*f^2*n^2))/((e + f*x)^n*(c*f - d*e)^3*(11*n - 6*n^2 + n^3 - 6)) - (c*e*(c + d*x)^(n - 4)*(6*a*c^2*f^2 + 2*a*d^2*e^2 + a*c^2*f^2*n^2 + a*d^2*e^2*n^2 + b*c*d*e^2 - 3*b*c^2*e*f - 5*a*c^2*f^2*n - 3*a*d^2*e^2*n - 6*a*c*d*e*f - b*c*d*e^2*n + b*c^2*e*f*n - 2*a*c*d*e*f*n^2 + 8*a*c*d*e*f*n))/((e + f*x)^n*(c*f - d*e)^3*(11*n - 6*n^2 + n^3 - 6)) - (d^2*f^2*x^4*(c + d*x)^(n - 4)*(2*a*d*f + b*c*f - 3*b*d*e - b*c*f*n + b*d*e*n))/((e + f*x)^n*(c*f - d*e)^3*(11*n - 6*n^2 + n^3 - 6)) - (d*f*x^3*(c + d*x)^(n - 4)*(4*c*f - c*f*n + d*e*n)*(2*a*d*f + b*c*f - 3*b*d*e - b*c*f*n + b*d*e*n))/((e + f*x)^n*(c*f - d*e)^3*(11*n - 6*n^2 + n^3 - 6))","B"
3052,1,1657,299,4.665134,"\text{Not used}","int(((a + b*x)*(c + d*x)^(n - 5))/(e + f*x)^n,x)","\frac{x\,{\left(c+d\,x\right)}^{n-5}\,\left(-b\,c^4\,e\,f^3\,n^3+7\,b\,c^4\,e\,f^3\,n^2-12\,b\,c^4\,e\,f^3\,n-a\,c^4\,f^4\,n^3+9\,a\,c^4\,f^4\,n^2-26\,a\,c^4\,f^4\,n+24\,a\,c^4\,f^4+3\,b\,c^3\,d\,e^2\,f^2\,n^3-22\,b\,c^3\,d\,e^2\,f^2\,n^2+55\,b\,c^3\,d\,e^2\,f^2\,n-60\,b\,c^3\,d\,e^2\,f^2+2\,a\,c^3\,d\,e\,f^3\,n^3-12\,a\,c^3\,d\,e\,f^3\,n^2+10\,a\,c^3\,d\,e\,f^3\,n+24\,a\,c^3\,d\,e\,f^3-3\,b\,c^2\,d^2\,e^3\,f\,n^3+23\,b\,c^2\,d^2\,e^3\,f\,n^2-60\,b\,c^2\,d^2\,e^3\,f\,n+40\,b\,c^2\,d^2\,e^3\,f-9\,a\,c^2\,d^2\,e^2\,f^2\,n^2+45\,a\,c^2\,d^2\,e^2\,f^2\,n-36\,a\,c^2\,d^2\,e^2\,f^2+b\,c\,d^3\,e^4\,n^3-8\,b\,c\,d^3\,e^4\,n^2+17\,b\,c\,d^3\,e^4\,n-10\,b\,c\,d^3\,e^4-2\,a\,c\,d^3\,e^3\,f\,n^3+18\,a\,c\,d^3\,e^3\,f\,n^2-40\,a\,c\,d^3\,e^3\,f\,n+24\,a\,c\,d^3\,e^3\,f+a\,d^4\,e^4\,n^3-6\,a\,d^4\,e^4\,n^2+11\,a\,d^4\,e^4\,n-6\,a\,d^4\,e^4\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^4\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}-\frac{{\left(c+d\,x\right)}^{n-5}\,\left(b\,c^4\,e^2\,f^2\,n^2-7\,b\,c^4\,e^2\,f^2\,n+12\,b\,c^4\,e^2\,f^2+a\,c^4\,e\,f^3\,n^3-9\,a\,c^4\,e\,f^3\,n^2+26\,a\,c^4\,e\,f^3\,n-24\,a\,c^4\,e\,f^3-2\,b\,c^3\,d\,e^3\,f\,n^2+10\,b\,c^3\,d\,e^3\,f\,n-8\,b\,c^3\,d\,e^3\,f-3\,a\,c^3\,d\,e^2\,f^2\,n^3+24\,a\,c^3\,d\,e^2\,f^2\,n^2-57\,a\,c^3\,d\,e^2\,f^2\,n+36\,a\,c^3\,d\,e^2\,f^2+b\,c^2\,d^2\,e^4\,n^2-3\,b\,c^2\,d^2\,e^4\,n+2\,b\,c^2\,d^2\,e^4+3\,a\,c^2\,d^2\,e^3\,f\,n^3-21\,a\,c^2\,d^2\,e^3\,f\,n^2+42\,a\,c^2\,d^2\,e^3\,f\,n-24\,a\,c^2\,d^2\,e^3\,f-a\,c\,d^3\,e^4\,n^3+6\,a\,c\,d^3\,e^4\,n^2-11\,a\,c\,d^3\,e^4\,n+6\,a\,c\,d^3\,e^4\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^4\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}+\frac{x^2\,{\left(c+d\,x\right)}^{n-5}\,\left(-b\,c^4\,f^4\,n^3+8\,b\,c^4\,f^4\,n^2-19\,b\,c^4\,f^4\,n+12\,b\,c^4\,f^4+2\,b\,c^3\,d\,e\,f^3\,n^3-14\,b\,c^3\,d\,e\,f^3\,n^2+36\,b\,c^3\,d\,e\,f^3\,n-48\,b\,c^3\,d\,e\,f^3-a\,c^3\,d\,f^4\,n^3+12\,a\,c^3\,d\,f^4\,n^2-47\,a\,c^3\,d\,f^4\,n+60\,a\,c^3\,d\,f^4-3\,b\,c^2\,d^2\,e^2\,f^2\,n^2+15\,b\,c^2\,d^2\,e^2\,f^2\,n-48\,b\,c^2\,d^2\,e^2\,f^2+3\,a\,c^2\,d^2\,e\,f^3\,n^3-27\,a\,c^2\,d^2\,e\,f^3\,n^2+60\,a\,c^2\,d^2\,e\,f^3\,n-2\,b\,c\,d^3\,e^3\,f\,n^3+16\,b\,c\,d^3\,e^3\,f\,n^2-46\,b\,c\,d^3\,e^3\,f\,n+32\,b\,c\,d^3\,e^3\,f-3\,a\,c\,d^3\,e^2\,f^2\,n^3+18\,a\,c\,d^3\,e^2\,f^2\,n^2-15\,a\,c\,d^3\,e^2\,f^2\,n+b\,d^4\,e^4\,n^3-7\,b\,d^4\,e^4\,n^2+14\,b\,d^4\,e^4\,n-8\,b\,d^4\,e^4+a\,d^4\,e^3\,f\,n^3-3\,a\,d^4\,e^3\,f\,n^2+2\,a\,d^4\,e^3\,f\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^4\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}+\frac{2\,d^3\,f^3\,x^5\,{\left(c+d\,x\right)}^{n-5}\,\left(3\,a\,d\,f+b\,c\,f-4\,b\,d\,e-b\,c\,f\,n+b\,d\,e\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^4\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}+\frac{2\,d^2\,f^2\,x^4\,{\left(c+d\,x\right)}^{n-5}\,\left(5\,c\,f-c\,f\,n+d\,e\,n\right)\,\left(3\,a\,d\,f+b\,c\,f-4\,b\,d\,e-b\,c\,f\,n+b\,d\,e\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^4\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}+\frac{d\,f\,x^3\,{\left(c+d\,x\right)}^{n-5}\,\left(3\,a\,d\,f+b\,c\,f-4\,b\,d\,e-b\,c\,f\,n+b\,d\,e\,n\right)\,\left(c^2\,f^2\,n^2-9\,c^2\,f^2\,n+20\,c^2\,f^2-2\,c\,d\,e\,f\,n^2+10\,c\,d\,e\,f\,n+d^2\,e^2\,n^2-d^2\,e^2\,n\right)}{{\left(e+f\,x\right)}^n\,{\left(c\,f-d\,e\right)}^4\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}","Not used",1,"(x*(c + d*x)^(n - 5)*(24*a*c^4*f^4 - 6*a*d^4*e^4 + 9*a*c^4*f^4*n^2 - 6*a*d^4*e^4*n^2 - a*c^4*f^4*n^3 + a*d^4*e^4*n^3 - 10*b*c*d^3*e^4 - 26*a*c^4*f^4*n + 11*a*d^4*e^4*n + 24*a*c*d^3*e^3*f + 24*a*c^3*d*e*f^3 + 17*b*c*d^3*e^4*n - 12*b*c^4*e*f^3*n + 40*b*c^2*d^2*e^3*f - 60*b*c^3*d*e^2*f^2 - 8*b*c*d^3*e^4*n^2 + b*c*d^3*e^4*n^3 + 7*b*c^4*e*f^3*n^2 - b*c^4*e*f^3*n^3 - 36*a*c^2*d^2*e^2*f^2 + 45*a*c^2*d^2*e^2*f^2*n + 23*b*c^2*d^2*e^3*f*n^2 - 22*b*c^3*d*e^2*f^2*n^2 - 3*b*c^2*d^2*e^3*f*n^3 + 3*b*c^3*d*e^2*f^2*n^3 - 40*a*c*d^3*e^3*f*n + 10*a*c^3*d*e*f^3*n - 9*a*c^2*d^2*e^2*f^2*n^2 + 18*a*c*d^3*e^3*f*n^2 - 12*a*c^3*d*e*f^3*n^2 - 2*a*c*d^3*e^3*f*n^3 + 2*a*c^3*d*e*f^3*n^3 - 60*b*c^2*d^2*e^3*f*n + 55*b*c^3*d*e^2*f^2*n))/((e + f*x)^n*(c*f - d*e)^4*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) - ((c + d*x)^(n - 5)*(2*b*c^2*d^2*e^4 + 12*b*c^4*e^2*f^2 + 6*a*c*d^3*e^4 - 24*a*c^4*e*f^3 - 8*b*c^3*d*e^3*f - 11*a*c*d^3*e^4*n + 26*a*c^4*e*f^3*n - 24*a*c^2*d^2*e^3*f + 36*a*c^3*d*e^2*f^2 + 6*a*c*d^3*e^4*n^2 - a*c*d^3*e^4*n^3 - 3*b*c^2*d^2*e^4*n - 9*a*c^4*e*f^3*n^2 + a*c^4*e*f^3*n^3 - 7*b*c^4*e^2*f^2*n + b*c^2*d^2*e^4*n^2 + b*c^4*e^2*f^2*n^2 - 21*a*c^2*d^2*e^3*f*n^2 + 24*a*c^3*d*e^2*f^2*n^2 + 3*a*c^2*d^2*e^3*f*n^3 - 3*a*c^3*d*e^2*f^2*n^3 + 10*b*c^3*d*e^3*f*n + 42*a*c^2*d^2*e^3*f*n - 57*a*c^3*d*e^2*f^2*n - 2*b*c^3*d*e^3*f*n^2))/((e + f*x)^n*(c*f - d*e)^4*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) + (x^2*(c + d*x)^(n - 5)*(12*b*c^4*f^4 - 8*b*d^4*e^4 + 8*b*c^4*f^4*n^2 - 7*b*d^4*e^4*n^2 - b*c^4*f^4*n^3 + b*d^4*e^4*n^3 + 60*a*c^3*d*f^4 - 19*b*c^4*f^4*n + 14*b*d^4*e^4*n + 32*b*c*d^3*e^3*f - 48*b*c^3*d*e*f^3 - 47*a*c^3*d*f^4*n + 2*a*d^4*e^3*f*n + 12*a*c^3*d*f^4*n^2 - a*c^3*d*f^4*n^3 - 3*a*d^4*e^3*f*n^2 + a*d^4*e^3*f*n^3 - 48*b*c^2*d^2*e^2*f^2 + 18*a*c*d^3*e^2*f^2*n^2 - 27*a*c^2*d^2*e*f^3*n^2 - 3*a*c*d^3*e^2*f^2*n^3 + 3*a*c^2*d^2*e*f^3*n^3 + 15*b*c^2*d^2*e^2*f^2*n - 46*b*c*d^3*e^3*f*n + 36*b*c^3*d*e*f^3*n - 3*b*c^2*d^2*e^2*f^2*n^2 - 15*a*c*d^3*e^2*f^2*n + 60*a*c^2*d^2*e*f^3*n + 16*b*c*d^3*e^3*f*n^2 - 14*b*c^3*d*e*f^3*n^2 - 2*b*c*d^3*e^3*f*n^3 + 2*b*c^3*d*e*f^3*n^3))/((e + f*x)^n*(c*f - d*e)^4*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) + (2*d^3*f^3*x^5*(c + d*x)^(n - 5)*(3*a*d*f + b*c*f - 4*b*d*e - b*c*f*n + b*d*e*n))/((e + f*x)^n*(c*f - d*e)^4*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) + (2*d^2*f^2*x^4*(c + d*x)^(n - 5)*(5*c*f - c*f*n + d*e*n)*(3*a*d*f + b*c*f - 4*b*d*e - b*c*f*n + b*d*e*n))/((e + f*x)^n*(c*f - d*e)^4*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) + (d*f*x^3*(c + d*x)^(n - 5)*(3*a*d*f + b*c*f - 4*b*d*e - b*c*f*n + b*d*e*n)*(20*c^2*f^2 - 9*c^2*f^2*n - d^2*e^2*n + c^2*f^2*n^2 + d^2*e^2*n^2 + 10*c*d*e*f*n - 2*c*d*e*f*n^2))/((e + f*x)^n*(c*f - d*e)^4*(35*n^2 - 50*n - 10*n^3 + n^4 + 24))","B"
3053,0,-1,135,0.000000,"\text{Not used}","int(((e + f*x)^n*(c + d*x))/(a + b*x)^n,x)","\int \frac{{\left(e+f\,x\right)}^n\,\left(c+d\,x\right)}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(((e + f*x)^n*(c + d*x))/(a + b*x)^n, x)","F"
3054,0,-1,151,0.000000,"\text{Not used}","int(((e + f*x)^(n - 1)*(c + d*x))/(a + b*x)^n,x)","\int \frac{{\left(e+f\,x\right)}^{n-1}\,\left(c+d\,x\right)}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(((e + f*x)^(n - 1)*(c + d*x))/(a + b*x)^n, x)","F"
3055,0,-1,118,0.000000,"\text{Not used}","int(((e + f*x)^(n - 2)*(c + d*x))/(a + b*x)^n,x)","\int \frac{{\left(e+f\,x\right)}^{n-2}\,\left(c+d\,x\right)}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(((e + f*x)^(n - 2)*(c + d*x))/(a + b*x)^n, x)","F"
3056,1,360,125,2.798097,"\text{Not used}","int(((e + f*x)^(n - 3)*(c + d*x))/(a + b*x)^n,x)","\frac{b\,f\,x^3\,{\left(e+f\,x\right)}^{n-3}\,\left(b\,c\,f-2\,a\,d\,f+b\,d\,e+a\,d\,f\,n-b\,d\,e\,n\right)}{{\left(a\,f-b\,e\right)}^2\,{\left(a+b\,x\right)}^n\,\left(n^2-3\,n+2\right)}-\frac{x^2\,{\left(e+f\,x\right)}^{n-3}\,\left(2\,a^2\,d\,f^2-b^2\,d\,e^2-3\,b^2\,c\,e\,f-a^2\,d\,f^2\,n+b^2\,d\,e^2\,n+2\,a\,b\,d\,e\,f-a\,b\,c\,f^2\,n+b^2\,c\,e\,f\,n\right)}{{\left(a\,f-b\,e\right)}^2\,{\left(a+b\,x\right)}^n\,\left(n^2-3\,n+2\right)}-\frac{a\,e\,{\left(e+f\,x\right)}^{n-3}\,\left(a\,c\,f+a\,d\,e-2\,b\,c\,e-a\,c\,f\,n+b\,c\,e\,n\right)}{{\left(a\,f-b\,e\right)}^2\,{\left(a+b\,x\right)}^n\,\left(n^2-3\,n+2\right)}-\frac{x\,{\left(e+f\,x\right)}^{n-3}\,\left(a^2\,c\,f^2-2\,b^2\,c\,e^2+3\,a^2\,d\,e\,f-a^2\,c\,f^2\,n+b^2\,c\,e^2\,n-2\,a\,b\,c\,e\,f+a\,b\,d\,e^2\,n-a^2\,d\,e\,f\,n\right)}{{\left(a\,f-b\,e\right)}^2\,{\left(a+b\,x\right)}^n\,\left(n^2-3\,n+2\right)}","Not used",1,"(b*f*x^3*(e + f*x)^(n - 3)*(b*c*f - 2*a*d*f + b*d*e + a*d*f*n - b*d*e*n))/((a*f - b*e)^2*(a + b*x)^n*(n^2 - 3*n + 2)) - (x^2*(e + f*x)^(n - 3)*(2*a^2*d*f^2 - b^2*d*e^2 - 3*b^2*c*e*f - a^2*d*f^2*n + b^2*d*e^2*n + 2*a*b*d*e*f - a*b*c*f^2*n + b^2*c*e*f*n))/((a*f - b*e)^2*(a + b*x)^n*(n^2 - 3*n + 2)) - (a*e*(e + f*x)^(n - 3)*(a*c*f + a*d*e - 2*b*c*e - a*c*f*n + b*c*e*n))/((a*f - b*e)^2*(a + b*x)^n*(n^2 - 3*n + 2)) - (x*(e + f*x)^(n - 3)*(a^2*c*f^2 - 2*b^2*c*e^2 + 3*a^2*d*e*f - a^2*c*f^2*n + b^2*c*e^2*n - 2*a*b*c*e*f + a*b*d*e^2*n - a^2*d*e*f*n))/((a*f - b*e)^2*(a + b*x)^n*(n^2 - 3*n + 2))","B"
3057,1,869,207,3.475774,"\text{Not used}","int(((e + f*x)^(n - 4)*(c + d*x))/(a + b*x)^n,x)","\frac{x\,{\left(e+f\,x\right)}^{n-4}\,\left(d\,a^3\,e\,f^2\,n^2-5\,d\,a^3\,e\,f^2\,n+4\,d\,a^3\,e\,f^2+c\,a^3\,f^3\,n^2-3\,c\,a^3\,f^3\,n+2\,c\,a^3\,f^3-2\,d\,a^2\,b\,e^2\,f\,n^2+8\,d\,a^2\,b\,e^2\,f\,n-12\,d\,a^2\,b\,e^2\,f-c\,a^2\,b\,e\,f^2\,n^2+7\,c\,a^2\,b\,e\,f^2\,n-6\,c\,a^2\,b\,e\,f^2+d\,a\,b^2\,e^3\,n^2-3\,d\,a\,b^2\,e^3\,n-c\,a\,b^2\,e^2\,f\,n^2+c\,a\,b^2\,e^2\,f\,n+6\,c\,a\,b^2\,e^2\,f+c\,b^3\,e^3\,n^2-5\,c\,b^3\,e^3\,n+6\,c\,b^3\,e^3\right)}{{\left(a\,f-b\,e\right)}^3\,{\left(a+b\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}+\frac{x^2\,{\left(e+f\,x\right)}^{n-4}\,\left(d\,a^3\,f^3\,n^2-4\,d\,a^3\,f^3\,n+3\,d\,a^3\,f^3-d\,a^2\,b\,e\,f^2\,n^2+4\,d\,a^2\,b\,e\,f^2\,n-9\,d\,a^2\,b\,e\,f^2+c\,a^2\,b\,f^3\,n^2-c\,a^2\,b\,f^3\,n-d\,a\,b^2\,e^2\,f\,n^2+4\,d\,a\,b^2\,e^2\,f\,n-9\,d\,a\,b^2\,e^2\,f-2\,c\,a\,b^2\,e\,f^2\,n^2+8\,c\,a\,b^2\,e\,f^2\,n+d\,b^3\,e^3\,n^2-4\,d\,b^3\,e^3\,n+3\,d\,b^3\,e^3+c\,b^3\,e^2\,f\,n^2-7\,c\,b^3\,e^2\,f\,n+12\,c\,b^3\,e^2\,f\right)}{{\left(a\,f-b\,e\right)}^3\,{\left(a+b\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}+\frac{a\,e\,{\left(e+f\,x\right)}^{n-4}\,\left(-d\,a^2\,e\,f\,n+d\,a^2\,e\,f+c\,a^2\,f^2\,n^2-3\,c\,a^2\,f^2\,n+2\,c\,a^2\,f^2+d\,a\,b\,e^2\,n-3\,d\,a\,b\,e^2-2\,c\,a\,b\,e\,f\,n^2+8\,c\,a\,b\,e\,f\,n-6\,c\,a\,b\,e\,f+c\,b^2\,e^2\,n^2-5\,c\,b^2\,e^2\,n+6\,c\,b^2\,e^2\right)}{{\left(a\,f-b\,e\right)}^3\,{\left(a+b\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}+\frac{b^2\,f^2\,x^4\,{\left(e+f\,x\right)}^{n-4}\,\left(2\,b\,c\,f-3\,a\,d\,f+b\,d\,e+a\,d\,f\,n-b\,d\,e\,n\right)}{{\left(a\,f-b\,e\right)}^3\,{\left(a+b\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}+\frac{b\,f\,x^3\,{\left(e+f\,x\right)}^{n-4}\,\left(4\,b\,e+a\,f\,n-b\,e\,n\right)\,\left(2\,b\,c\,f-3\,a\,d\,f+b\,d\,e+a\,d\,f\,n-b\,d\,e\,n\right)}{{\left(a\,f-b\,e\right)}^3\,{\left(a+b\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}","Not used",1,"(x*(e + f*x)^(n - 4)*(2*a^3*c*f^3 + 6*b^3*c*e^3 + a^3*c*f^3*n^2 + b^3*c*e^3*n^2 + 4*a^3*d*e*f^2 - 3*a^3*c*f^3*n - 5*b^3*c*e^3*n + 6*a*b^2*c*e^2*f - 6*a^2*b*c*e*f^2 - 12*a^2*b*d*e^2*f - 3*a*b^2*d*e^3*n - 5*a^3*d*e*f^2*n + a*b^2*d*e^3*n^2 + a^3*d*e*f^2*n^2 + a*b^2*c*e^2*f*n + 7*a^2*b*c*e*f^2*n + 8*a^2*b*d*e^2*f*n - a*b^2*c*e^2*f*n^2 - a^2*b*c*e*f^2*n^2 - 2*a^2*b*d*e^2*f*n^2))/((a*f - b*e)^3*(a + b*x)^n*(11*n - 6*n^2 + n^3 - 6)) + (x^2*(e + f*x)^(n - 4)*(3*a^3*d*f^3 + 3*b^3*d*e^3 + a^3*d*f^3*n^2 + b^3*d*e^3*n^2 + 12*b^3*c*e^2*f - 4*a^3*d*f^3*n - 4*b^3*d*e^3*n - 9*a*b^2*d*e^2*f - 9*a^2*b*d*e*f^2 - a^2*b*c*f^3*n - 7*b^3*c*e^2*f*n + a^2*b*c*f^3*n^2 + b^3*c*e^2*f*n^2 + 8*a*b^2*c*e*f^2*n + 4*a*b^2*d*e^2*f*n + 4*a^2*b*d*e*f^2*n - 2*a*b^2*c*e*f^2*n^2 - a*b^2*d*e^2*f*n^2 - a^2*b*d*e*f^2*n^2))/((a*f - b*e)^3*(a + b*x)^n*(11*n - 6*n^2 + n^3 - 6)) + (a*e*(e + f*x)^(n - 4)*(2*a^2*c*f^2 + 6*b^2*c*e^2 + a^2*c*f^2*n^2 + b^2*c*e^2*n^2 - 3*a*b*d*e^2 + a^2*d*e*f - 3*a^2*c*f^2*n - 5*b^2*c*e^2*n - 6*a*b*c*e*f + a*b*d*e^2*n - a^2*d*e*f*n - 2*a*b*c*e*f*n^2 + 8*a*b*c*e*f*n))/((a*f - b*e)^3*(a + b*x)^n*(11*n - 6*n^2 + n^3 - 6)) + (b^2*f^2*x^4*(e + f*x)^(n - 4)*(2*b*c*f - 3*a*d*f + b*d*e + a*d*f*n - b*d*e*n))/((a*f - b*e)^3*(a + b*x)^n*(11*n - 6*n^2 + n^3 - 6)) + (b*f*x^3*(e + f*x)^(n - 4)*(4*b*e + a*f*n - b*e*n)*(2*b*c*f - 3*a*d*f + b*d*e + a*d*f*n - b*d*e*n))/((a*f - b*e)^3*(a + b*x)^n*(11*n - 6*n^2 + n^3 - 6))","B"
3058,1,1659,300,4.560097,"\text{Not used}","int(((e + f*x)^(n - 5)*(c + d*x))/(a + b*x)^n,x)","\frac{2\,b^3\,f^3\,x^5\,{\left(e+f\,x\right)}^{n-5}\,\left(3\,b\,c\,f-4\,a\,d\,f+b\,d\,e+a\,d\,f\,n-b\,d\,e\,n\right)}{{\left(a\,f-b\,e\right)}^4\,{\left(a+b\,x\right)}^n\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}-\frac{x\,{\left(e+f\,x\right)}^{n-5}\,\left(-d\,a^4\,e\,f^3\,n^3+8\,d\,a^4\,e\,f^3\,n^2-17\,d\,a^4\,e\,f^3\,n+10\,d\,a^4\,e\,f^3-c\,a^4\,f^4\,n^3+6\,c\,a^4\,f^4\,n^2-11\,c\,a^4\,f^4\,n+6\,c\,a^4\,f^4+3\,d\,a^3\,b\,e^2\,f^2\,n^3-23\,d\,a^3\,b\,e^2\,f^2\,n^2+60\,d\,a^3\,b\,e^2\,f^2\,n-40\,d\,a^3\,b\,e^2\,f^2+2\,c\,a^3\,b\,e\,f^3\,n^3-18\,c\,a^3\,b\,e\,f^3\,n^2+40\,c\,a^3\,b\,e\,f^3\,n-24\,c\,a^3\,b\,e\,f^3-3\,d\,a^2\,b^2\,e^3\,f\,n^3+22\,d\,a^2\,b^2\,e^3\,f\,n^2-55\,d\,a^2\,b^2\,e^3\,f\,n+60\,d\,a^2\,b^2\,e^3\,f+9\,c\,a^2\,b^2\,e^2\,f^2\,n^2-45\,c\,a^2\,b^2\,e^2\,f^2\,n+36\,c\,a^2\,b^2\,e^2\,f^2+d\,a\,b^3\,e^4\,n^3-7\,d\,a\,b^3\,e^4\,n^2+12\,d\,a\,b^3\,e^4\,n-2\,c\,a\,b^3\,e^3\,f\,n^3+12\,c\,a\,b^3\,e^3\,f\,n^2-10\,c\,a\,b^3\,e^3\,f\,n-24\,c\,a\,b^3\,e^3\,f+c\,b^4\,e^4\,n^3-9\,c\,b^4\,e^4\,n^2+26\,c\,b^4\,e^4\,n-24\,c\,b^4\,e^4\right)}{{\left(a\,f-b\,e\right)}^4\,{\left(a+b\,x\right)}^n\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}-\frac{x^2\,{\left(e+f\,x\right)}^{n-5}\,\left(-d\,a^4\,f^4\,n^3+7\,d\,a^4\,f^4\,n^2-14\,d\,a^4\,f^4\,n+8\,d\,a^4\,f^4+2\,d\,a^3\,b\,e\,f^3\,n^3-16\,d\,a^3\,b\,e\,f^3\,n^2+46\,d\,a^3\,b\,e\,f^3\,n-32\,d\,a^3\,b\,e\,f^3-c\,a^3\,b\,f^4\,n^3+3\,c\,a^3\,b\,f^4\,n^2-2\,c\,a^3\,b\,f^4\,n+3\,d\,a^2\,b^2\,e^2\,f^2\,n^2-15\,d\,a^2\,b^2\,e^2\,f^2\,n+48\,d\,a^2\,b^2\,e^2\,f^2+3\,c\,a^2\,b^2\,e\,f^3\,n^3-18\,c\,a^2\,b^2\,e\,f^3\,n^2+15\,c\,a^2\,b^2\,e\,f^3\,n-2\,d\,a\,b^3\,e^3\,f\,n^3+14\,d\,a\,b^3\,e^3\,f\,n^2-36\,d\,a\,b^3\,e^3\,f\,n+48\,d\,a\,b^3\,e^3\,f-3\,c\,a\,b^3\,e^2\,f^2\,n^3+27\,c\,a\,b^3\,e^2\,f^2\,n^2-60\,c\,a\,b^3\,e^2\,f^2\,n+d\,b^4\,e^4\,n^3-8\,d\,b^4\,e^4\,n^2+19\,d\,b^4\,e^4\,n-12\,d\,b^4\,e^4+c\,b^4\,e^3\,f\,n^3-12\,c\,b^4\,e^3\,f\,n^2+47\,c\,b^4\,e^3\,f\,n-60\,c\,b^4\,e^3\,f\right)}{{\left(a\,f-b\,e\right)}^4\,{\left(a+b\,x\right)}^n\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}-\frac{{\left(e+f\,x\right)}^{n-5}\,\left(d\,a^4\,e^2\,f^2\,n^2-3\,d\,a^4\,e^2\,f^2\,n+2\,d\,a^4\,e^2\,f^2-c\,a^4\,e\,f^3\,n^3+6\,c\,a^4\,e\,f^3\,n^2-11\,c\,a^4\,e\,f^3\,n+6\,c\,a^4\,e\,f^3-2\,d\,a^3\,b\,e^3\,f\,n^2+10\,d\,a^3\,b\,e^3\,f\,n-8\,d\,a^3\,b\,e^3\,f+3\,c\,a^3\,b\,e^2\,f^2\,n^3-21\,c\,a^3\,b\,e^2\,f^2\,n^2+42\,c\,a^3\,b\,e^2\,f^2\,n-24\,c\,a^3\,b\,e^2\,f^2+d\,a^2\,b^2\,e^4\,n^2-7\,d\,a^2\,b^2\,e^4\,n+12\,d\,a^2\,b^2\,e^4-3\,c\,a^2\,b^2\,e^3\,f\,n^3+24\,c\,a^2\,b^2\,e^3\,f\,n^2-57\,c\,a^2\,b^2\,e^3\,f\,n+36\,c\,a^2\,b^2\,e^3\,f+c\,a\,b^3\,e^4\,n^3-9\,c\,a\,b^3\,e^4\,n^2+26\,c\,a\,b^3\,e^4\,n-24\,c\,a\,b^3\,e^4\right)}{{\left(a\,f-b\,e\right)}^4\,{\left(a+b\,x\right)}^n\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}+\frac{b\,f\,x^3\,{\left(e+f\,x\right)}^{n-5}\,\left(3\,b\,c\,f-4\,a\,d\,f+b\,d\,e+a\,d\,f\,n-b\,d\,e\,n\right)\,\left(a^2\,f^2\,n^2-a^2\,f^2\,n-2\,a\,b\,e\,f\,n^2+10\,a\,b\,e\,f\,n+b^2\,e^2\,n^2-9\,b^2\,e^2\,n+20\,b^2\,e^2\right)}{{\left(a\,f-b\,e\right)}^4\,{\left(a+b\,x\right)}^n\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}+\frac{2\,b^2\,f^2\,x^4\,{\left(e+f\,x\right)}^{n-5}\,\left(5\,b\,e+a\,f\,n-b\,e\,n\right)\,\left(3\,b\,c\,f-4\,a\,d\,f+b\,d\,e+a\,d\,f\,n-b\,d\,e\,n\right)}{{\left(a\,f-b\,e\right)}^4\,{\left(a+b\,x\right)}^n\,\left(n^4-10\,n^3+35\,n^2-50\,n+24\right)}","Not used",1,"(2*b^3*f^3*x^5*(e + f*x)^(n - 5)*(3*b*c*f - 4*a*d*f + b*d*e + a*d*f*n - b*d*e*n))/((a*f - b*e)^4*(a + b*x)^n*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) - (x*(e + f*x)^(n - 5)*(6*a^4*c*f^4 - 24*b^4*c*e^4 + 6*a^4*c*f^4*n^2 - 9*b^4*c*e^4*n^2 - a^4*c*f^4*n^3 + b^4*c*e^4*n^3 + 10*a^4*d*e*f^3 - 11*a^4*c*f^4*n + 26*b^4*c*e^4*n - 24*a*b^3*c*e^3*f - 24*a^3*b*c*e*f^3 + 12*a*b^3*d*e^4*n - 17*a^4*d*e*f^3*n + 60*a^2*b^2*d*e^3*f - 40*a^3*b*d*e^2*f^2 - 7*a*b^3*d*e^4*n^2 + a*b^3*d*e^4*n^3 + 8*a^4*d*e*f^3*n^2 - a^4*d*e*f^3*n^3 + 36*a^2*b^2*c*e^2*f^2 - 45*a^2*b^2*c*e^2*f^2*n + 22*a^2*b^2*d*e^3*f*n^2 - 23*a^3*b*d*e^2*f^2*n^2 - 3*a^2*b^2*d*e^3*f*n^3 + 3*a^3*b*d*e^2*f^2*n^3 - 10*a*b^3*c*e^3*f*n + 40*a^3*b*c*e*f^3*n + 9*a^2*b^2*c*e^2*f^2*n^2 + 12*a*b^3*c*e^3*f*n^2 - 18*a^3*b*c*e*f^3*n^2 - 2*a*b^3*c*e^3*f*n^3 + 2*a^3*b*c*e*f^3*n^3 - 55*a^2*b^2*d*e^3*f*n + 60*a^3*b*d*e^2*f^2*n))/((a*f - b*e)^4*(a + b*x)^n*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) - (x^2*(e + f*x)^(n - 5)*(8*a^4*d*f^4 - 12*b^4*d*e^4 + 7*a^4*d*f^4*n^2 - 8*b^4*d*e^4*n^2 - a^4*d*f^4*n^3 + b^4*d*e^4*n^3 - 60*b^4*c*e^3*f - 14*a^4*d*f^4*n + 19*b^4*d*e^4*n + 48*a*b^3*d*e^3*f - 32*a^3*b*d*e*f^3 - 2*a^3*b*c*f^4*n + 47*b^4*c*e^3*f*n + 3*a^3*b*c*f^4*n^2 - a^3*b*c*f^4*n^3 - 12*b^4*c*e^3*f*n^2 + b^4*c*e^3*f*n^3 + 48*a^2*b^2*d*e^2*f^2 + 27*a*b^3*c*e^2*f^2*n^2 - 18*a^2*b^2*c*e*f^3*n^2 - 3*a*b^3*c*e^2*f^2*n^3 + 3*a^2*b^2*c*e*f^3*n^3 - 15*a^2*b^2*d*e^2*f^2*n - 36*a*b^3*d*e^3*f*n + 46*a^3*b*d*e*f^3*n + 3*a^2*b^2*d*e^2*f^2*n^2 - 60*a*b^3*c*e^2*f^2*n + 15*a^2*b^2*c*e*f^3*n + 14*a*b^3*d*e^3*f*n^2 - 16*a^3*b*d*e*f^3*n^2 - 2*a*b^3*d*e^3*f*n^3 + 2*a^3*b*d*e*f^3*n^3))/((a*f - b*e)^4*(a + b*x)^n*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) - ((e + f*x)^(n - 5)*(12*a^2*b^2*d*e^4 + 2*a^4*d*e^2*f^2 - 24*a*b^3*c*e^4 + 6*a^4*c*e*f^3 - 8*a^3*b*d*e^3*f + 26*a*b^3*c*e^4*n - 11*a^4*c*e*f^3*n + 36*a^2*b^2*c*e^3*f - 24*a^3*b*c*e^2*f^2 - 9*a*b^3*c*e^4*n^2 + a*b^3*c*e^4*n^3 - 7*a^2*b^2*d*e^4*n + 6*a^4*c*e*f^3*n^2 - a^4*c*e*f^3*n^3 - 3*a^4*d*e^2*f^2*n + a^2*b^2*d*e^4*n^2 + a^4*d*e^2*f^2*n^2 + 24*a^2*b^2*c*e^3*f*n^2 - 21*a^3*b*c*e^2*f^2*n^2 - 3*a^2*b^2*c*e^3*f*n^3 + 3*a^3*b*c*e^2*f^2*n^3 + 10*a^3*b*d*e^3*f*n - 57*a^2*b^2*c*e^3*f*n + 42*a^3*b*c*e^2*f^2*n - 2*a^3*b*d*e^3*f*n^2))/((a*f - b*e)^4*(a + b*x)^n*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) + (b*f*x^3*(e + f*x)^(n - 5)*(3*b*c*f - 4*a*d*f + b*d*e + a*d*f*n - b*d*e*n)*(20*b^2*e^2 - a^2*f^2*n - 9*b^2*e^2*n + a^2*f^2*n^2 + b^2*e^2*n^2 + 10*a*b*e*f*n - 2*a*b*e*f*n^2))/((a*f - b*e)^4*(a + b*x)^n*(35*n^2 - 50*n - 10*n^3 + n^4 + 24)) + (2*b^2*f^2*x^4*(e + f*x)^(n - 5)*(5*b*e + a*f*n - b*e*n)*(3*b*c*f - 4*a*d*f + b*d*e + a*d*f*n - b*d*e*n))/((a*f - b*e)^4*(a + b*x)^n*(35*n^2 - 50*n - 10*n^3 + n^4 + 24))","B"
3059,0,-1,121,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^m,x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^m, x)","F"
3060,0,-1,188,0.000000,"\text{Not used}","int(((3*x + 2)^m*(4*x - 5)^4)/(2*x + 1)^m,x)","\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^4}{{\left(2\,x+1\right)}^m} \,d x","Not used",1,"int(((3*x + 2)^m*(4*x - 5)^4)/(2*x + 1)^m, x)","F"
3061,0,-1,432,0.000000,"\text{Not used}","int(((e + f*x)^3*(a + b*x)^m)/(c + d*x)^m,x)","\int \frac{{\left(e+f\,x\right)}^3\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int(((e + f*x)^3*(a + b*x)^m)/(c + d*x)^m, x)","F"
3062,0,-1,250,0.000000,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^m,x)","\int \frac{{\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^m, x)","F"
3063,0,-1,135,0.000000,"\text{Not used}","int(((e + f*x)*(a + b*x)^m)/(c + d*x)^m,x)","\int \frac{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int(((e + f*x)*(a + b*x)^m)/(c + d*x)^m, x)","F"
3064,0,-1,72,0.000000,"\text{Not used}","int((a + b*x)^m/(c + d*x)^m,x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int((a + b*x)^m/(c + d*x)^m, x)","F"
3065,0,-1,128,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(c + d*x)^m),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(c + d*x)^m), x)","F"
3066,0,-1,83,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)^m),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)^m), x)","F"
3067,0,-1,174,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^3*(c + d*x)^m),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^3\,{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^3*(c + d*x)^m), x)","F"
3068,0,-1,309,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^4*(c + d*x)^m),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^4\,{\left(c+d\,x\right)}^m} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^4*(c + d*x)^m), x)","F"
3069,0,-1,179,0.000000,"\text{Not used}","int(-(3*x + 2)^m/((2*x + 1)^m*(4*x - 5)^5),x)","-\int \frac{{\left(3\,x+2\right)}^m}{{\left(2\,x+1\right)}^m\,{\left(4\,x-5\right)}^5} \,d x","Not used",1,"-int((3*x + 2)^m/((2*x + 1)^m*(4*x - 5)^5), x)","F"
3070,0,-1,130,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 1),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 1), x)","F"
3071,0,-1,142,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(4*x - 5)^3)/(2*x + 1)^(m + 1),x)","-\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^3}{{\left(2\,x+1\right)}^{m+1}} \,d x","Not used",1,"-int(((3*x + 2)^m*(4*x - 5)^3)/(2*x + 1)^(m + 1), x)","F"
3072,0,-1,121,0.000000,"\text{Not used}","int(((3*x + 2)^m*(4*x - 5)^2)/(2*x + 1)^(m + 1),x)","\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^2}{{\left(2\,x+1\right)}^{m+1}} \,d x","Not used",1,"int(((3*x + 2)^m*(4*x - 5)^2)/(2*x + 1)^(m + 1), x)","F"
3073,0,-1,152,0.000000,"\text{Not used}","int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 1),x)","\int \frac{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 1), x)","F"
3074,0,-1,75,0.000000,"\text{Not used}","int((a + b*x)^m/(c + d*x)^(m + 1),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int((a + b*x)^m/(c + d*x)^(m + 1), x)","F"
3075,0,-1,72,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 1)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 1)), x)","F"
3076,0,-1,158,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 1)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 1)), x)","F"
3077,0,-1,283,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^3*(c + d*x)^(m + 1)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^3\,{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^3*(c + d*x)^(m + 1)), x)","F"
3078,0,-1,498,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^4*(c + d*x)^(m + 1)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^4\,{\left(c+d\,x\right)}^{m+1}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^4*(c + d*x)^(m + 1)), x)","F"
3079,0,-1,131,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 2),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 2), x)","F"
3080,0,-1,132,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(4*x - 5)^3)/(2*x + 1)^(m + 2),x)","-\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^3}{{\left(2\,x+1\right)}^{m+2}} \,d x","Not used",1,"-int(((3*x + 2)^m*(4*x - 5)^3)/(2*x + 1)^(m + 2), x)","F"
3081,0,-1,204,0.000000,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^(m + 2),x)","\int \frac{{\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^(m + 2), x)","F"
3082,0,-1,124,0.000000,"\text{Not used}","int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 2),x)","\int \frac{\left(e+f\,x\right)\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 2), x)","F"
3083,1,98,36,2.568897,"\text{Not used}","int((a + b*x)^m/(c + d*x)^(m + 2),x)","-\frac{\frac{a\,c\,{\left(a+b\,x\right)}^m}{\left(a\,d-b\,c\right)\,\left(m+1\right)}+\frac{x\,\left(a\,d+b\,c\right)\,{\left(a+b\,x\right)}^m}{\left(a\,d-b\,c\right)\,\left(m+1\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^m}{\left(a\,d-b\,c\right)\,\left(m+1\right)}}{{\left(c+d\,x\right)}^{m+2}}","Not used",1,"-((a*c*(a + b*x)^m)/((a*d - b*c)*(m + 1)) + (x*(a*d + b*c)*(a + b*x)^m)/((a*d - b*c)*(m + 1)) + (b*d*x^2*(a + b*x)^m)/((a*d - b*c)*(m + 1)))/(c + d*x)^(m + 2)","B"
3084,0,-1,120,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 2)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 2)), x)","F"
3085,0,-1,233,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 2)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 2)), x)","F"
3086,0,-1,432,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^3*(c + d*x)^(m + 2)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^3\,{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^3*(c + d*x)^(m + 2)), x)","F"
3087,0,-1,133,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 3),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+3}} \,d x","Not used",1,"int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 3), x)","F"
3088,0,-1,188,0.000000,"\text{Not used}","int(((3*x + 2)^m*(4*x - 5)^4)/(2*x + 1)^(m + 3),x)","\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^4}{{\left(2\,x+1\right)}^{m+3}} \,d x","Not used",1,"int(((3*x + 2)^m*(4*x - 5)^4)/(2*x + 1)^(m + 3), x)","F"
3089,0,-1,139,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(4*x - 5)^3)/(2*x + 1)^(m + 3),x)","-\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^3}{{\left(2\,x+1\right)}^{m+3}} \,d x","Not used",1,"-int(((3*x + 2)^m*(4*x - 5)^3)/(2*x + 1)^(m + 3), x)","F"
3090,0,-1,205,0.000000,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^(m + 3),x)","\int \frac{{\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+3}} \,d x","Not used",1,"int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^(m + 3), x)","F"
3091,1,360,114,2.802290,"\text{Not used}","int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 3),x)","\frac{b\,d\,x^3\,{\left(a+b\,x\right)}^m\,\left(b\,c\,f-2\,a\,d\,f+b\,d\,e-a\,d\,f\,m+b\,c\,f\,m\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{m+3}\,\left(m^2+3\,m+2\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(a^2\,d^2\,e-2\,b^2\,c^2\,e+3\,a^2\,c\,d\,f+a^2\,d^2\,e\,m-b^2\,c^2\,e\,m-2\,a\,b\,c\,d\,e-a\,b\,c^2\,f\,m+a^2\,c\,d\,f\,m\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{m+3}\,\left(m^2+3\,m+2\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^m\,\left(a\,c\,f+a\,d\,e-2\,b\,c\,e+a\,d\,e\,m-b\,c\,e\,m\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{m+3}\,\left(m^2+3\,m+2\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(2\,a^2\,d^2\,f-b^2\,c^2\,f-3\,b^2\,c\,d\,e+a^2\,d^2\,f\,m-b^2\,c^2\,f\,m+2\,a\,b\,c\,d\,f+a\,b\,d^2\,e\,m-b^2\,c\,d\,e\,m\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{m+3}\,\left(m^2+3\,m+2\right)}","Not used",1,"(b*d*x^3*(a + b*x)^m*(b*c*f - 2*a*d*f + b*d*e - a*d*f*m + b*c*f*m))/((a*d - b*c)^2*(c + d*x)^(m + 3)*(3*m + m^2 + 2)) - (x*(a + b*x)^m*(a^2*d^2*e - 2*b^2*c^2*e + 3*a^2*c*d*f + a^2*d^2*e*m - b^2*c^2*e*m - 2*a*b*c*d*e - a*b*c^2*f*m + a^2*c*d*f*m))/((a*d - b*c)^2*(c + d*x)^(m + 3)*(3*m + m^2 + 2)) - (a*c*(a + b*x)^m*(a*c*f + a*d*e - 2*b*c*e + a*d*e*m - b*c*e*m))/((a*d - b*c)^2*(c + d*x)^(m + 3)*(3*m + m^2 + 2)) - (x^2*(a + b*x)^m*(2*a^2*d^2*f - b^2*c^2*f - 3*b^2*c*d*e + a^2*d^2*f*m - b^2*c^2*f*m + 2*a*b*c*d*f + a*b*d^2*e*m - b^2*c*d*e*m))/((a*d - b*c)^2*(c + d*x)^(m + 3)*(3*m + m^2 + 2))","B"
3092,1,214,79,2.785032,"\text{Not used}","int((a + b*x)^m/(c + d*x)^(m + 3),x)","\frac{\frac{x\,{\left(a+b\,x\right)}^m\,\left(2\,b^2\,c^2-a^2\,d^2-a^2\,d^2\,m+b^2\,c^2\,m+2\,a\,b\,c\,d\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m^2+3\,m+2\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^m\,\left(a\,d-2\,b\,c+a\,d\,m-b\,c\,m\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m^2+3\,m+2\right)}+\frac{b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^m}{{\left(a\,d-b\,c\right)}^2\,\left(m^2+3\,m+2\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^m\,\left(3\,b\,c-a\,d\,m+b\,c\,m\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m^2+3\,m+2\right)}}{{\left(c+d\,x\right)}^{m+3}}","Not used",1,"((x*(a + b*x)^m*(2*b^2*c^2 - a^2*d^2 - a^2*d^2*m + b^2*c^2*m + 2*a*b*c*d))/((a*d - b*c)^2*(3*m + m^2 + 2)) - (a*c*(a + b*x)^m*(a*d - 2*b*c + a*d*m - b*c*m))/((a*d - b*c)^2*(3*m + m^2 + 2)) + (b^2*d^2*x^3*(a + b*x)^m)/((a*d - b*c)^2*(3*m + m^2 + 2)) + (b*d*x^2*(a + b*x)^m*(3*b*c - a*d*m + b*c*m))/((a*d - b*c)^2*(3*m + m^2 + 2)))/(c + d*x)^(m + 3)","B"
3093,0,-1,196,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 3)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{m+3}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 3)), x)","F"
3094,0,-1,384,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 3)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^{m+3}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 3)), x)","F"
3095,0,-1,133,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 4),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+4}} \,d x","Not used",1,"int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 4), x)","F"
3096,0,-1,333,0.000000,"\text{Not used}","int(((3*x + 2)^m*(4*x - 5)^4)/(2*x + 1)^(m + 4),x)","\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^4}{{\left(2\,x+1\right)}^{m+4}} \,d x","Not used",1,"int(((3*x + 2)^m*(4*x - 5)^4)/(2*x + 1)^(m + 4), x)","F"
3097,0,-1,406,0.000000,"\text{Not used}","int(((e + f*x)^3*(a + b*x)^m)/(c + d*x)^(m + 4),x)","\int \frac{{\left(e+f\,x\right)}^3\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+4}} \,d x","Not used",1,"int(((e + f*x)^3*(a + b*x)^m)/(c + d*x)^(m + 4), x)","F"
3098,1,1485,353,3.971573,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^(m + 4),x)","-\frac{x^3\,{\left(a+b\,x\right)}^m\,\left(a^3\,d^3\,f^2\,m^2+5\,a^3\,d^3\,f^2\,m+6\,a^3\,d^3\,f^2-a^2\,b\,c\,d^2\,f^2\,m^2-a^2\,b\,c\,d^2\,f^2\,m+6\,a^2\,b\,c\,d^2\,f^2+2\,a^2\,b\,d^3\,e\,f\,m^2+6\,a^2\,b\,d^3\,e\,f\,m-a\,b^2\,c^2\,d\,f^2\,m^2-7\,a\,b^2\,c^2\,d\,f^2\,m-6\,a\,b^2\,c^2\,d\,f^2-4\,a\,b^2\,c\,d^2\,e\,f\,m^2-16\,a\,b^2\,c\,d^2\,e\,f\,m-24\,a\,b^2\,c\,d^2\,e\,f-2\,a\,b^2\,d^3\,e^2\,m+b^3\,c^3\,f^2\,m^2+3\,b^3\,c^3\,f^2\,m+2\,b^3\,c^3\,f^2+2\,b^3\,c^2\,d\,e\,f\,m^2+10\,b^3\,c^2\,d\,e\,f\,m+8\,b^3\,c^2\,d\,e\,f+2\,b^3\,c\,d^2\,e^2\,m+8\,b^3\,c\,d^2\,e^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(a^3\,c\,d^2\,f^2\,m^2+7\,a^3\,c\,d^2\,f^2\,m+12\,a^3\,c\,d^2\,f^2+2\,a^3\,d^3\,e\,f\,m^2+8\,a^3\,d^3\,e\,f\,m+6\,a^3\,d^3\,e\,f-2\,a^2\,b\,c^2\,d\,f^2\,m^2-8\,a^2\,b\,c^2\,d\,f^2\,m-2\,a^2\,b\,c\,d^2\,e\,f\,m^2-8\,a^2\,b\,c\,d^2\,e\,f\,m-18\,a^2\,b\,c\,d^2\,e\,f+a^2\,b\,d^3\,e^2\,m^2+a^2\,b\,d^3\,e^2\,m+a\,b^2\,c^3\,f^2\,m^2+a\,b^2\,c^3\,f^2\,m-2\,a\,b^2\,c^2\,d\,e\,f\,m^2-8\,a\,b^2\,c^2\,d\,e\,f\,m-18\,a\,b^2\,c^2\,d\,e\,f-2\,a\,b^2\,c\,d^2\,e^2\,m^2-8\,a\,b^2\,c\,d^2\,e^2\,m+2\,b^3\,c^3\,e\,f\,m^2+8\,b^3\,c^3\,e\,f\,m+6\,b^3\,c^3\,e\,f+b^3\,c^2\,d\,e^2\,m^2+7\,b^3\,c^2\,d\,e^2\,m+12\,b^3\,c^2\,d\,e^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(2\,a^3\,c^2\,d\,f^2\,m+8\,a^3\,c^2\,d\,f^2+2\,a^3\,c\,d^2\,e\,f\,m^2+10\,a^3\,c\,d^2\,e\,f\,m+8\,a^3\,c\,d^2\,e\,f+a^3\,d^3\,e^2\,m^2+3\,a^3\,d^3\,e^2\,m+2\,a^3\,d^3\,e^2-2\,a^2\,b\,c^3\,f^2\,m-4\,a^2\,b\,c^2\,d\,e\,f\,m^2-16\,a^2\,b\,c^2\,d\,e\,f\,m-24\,a^2\,b\,c^2\,d\,e\,f-a^2\,b\,c\,d^2\,e^2\,m^2-7\,a^2\,b\,c\,d^2\,e^2\,m-6\,a^2\,b\,c\,d^2\,e^2+2\,a\,b^2\,c^3\,e\,f\,m^2+6\,a\,b^2\,c^3\,e\,f\,m-a\,b^2\,c^2\,d\,e^2\,m^2-a\,b^2\,c^2\,d\,e^2\,m+6\,a\,b^2\,c^2\,d\,e^2+b^3\,c^3\,e^2\,m^2+5\,b^3\,c^3\,e^2\,m+6\,b^3\,c^3\,e^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^m\,\left(2\,a^2\,c^2\,f^2+2\,a^2\,c\,d\,e\,f\,m+2\,a^2\,c\,d\,e\,f+a^2\,d^2\,e^2\,m^2+3\,a^2\,d^2\,e^2\,m+2\,a^2\,d^2\,e^2-2\,a\,b\,c^2\,e\,f\,m-6\,a\,b\,c^2\,e\,f-2\,a\,b\,c\,d\,e^2\,m^2-8\,a\,b\,c\,d\,e^2\,m-6\,a\,b\,c\,d\,e^2+b^2\,c^2\,e^2\,m^2+5\,b^2\,c^2\,e^2\,m+6\,b^2\,c^2\,e^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{b\,d\,x^4\,{\left(a+b\,x\right)}^m\,\left(a^2\,d^2\,f^2\,m^2+5\,a^2\,d^2\,f^2\,m+6\,a^2\,d^2\,f^2-2\,a\,b\,c\,d\,f^2\,m^2-8\,a\,b\,c\,d\,f^2\,m-6\,a\,b\,c\,d\,f^2-2\,a\,b\,d^2\,e\,f\,m-6\,a\,b\,d^2\,e\,f+b^2\,c^2\,f^2\,m^2+3\,b^2\,c^2\,f^2\,m+2\,b^2\,c^2\,f^2+2\,b^2\,c\,d\,e\,f\,m+2\,b^2\,c\,d\,e\,f+2\,b^2\,d^2\,e^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}","Not used",1,"- (x^3*(a + b*x)^m*(6*a^3*d^3*f^2 + 2*b^3*c^3*f^2 + 8*b^3*c*d^2*e^2 + 5*a^3*d^3*f^2*m + 3*b^3*c^3*f^2*m + a^3*d^3*f^2*m^2 + b^3*c^3*f^2*m^2 + 8*b^3*c^2*d*e*f - 6*a*b^2*c^2*d*f^2 + 6*a^2*b*c*d^2*f^2 - 2*a*b^2*d^3*e^2*m + 2*b^3*c*d^2*e^2*m - a*b^2*c^2*d*f^2*m^2 - a^2*b*c*d^2*f^2*m^2 - 24*a*b^2*c*d^2*e*f + 6*a^2*b*d^3*e*f*m + 10*b^3*c^2*d*e*f*m - 7*a*b^2*c^2*d*f^2*m - a^2*b*c*d^2*f^2*m + 2*a^2*b*d^3*e*f*m^2 + 2*b^3*c^2*d*e*f*m^2 - 4*a*b^2*c*d^2*e*f*m^2 - 16*a*b^2*c*d^2*e*f*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x^2*(a + b*x)^m*(12*a^3*c*d^2*f^2 + 12*b^3*c^2*d*e^2 + 6*a^3*d^3*e*f + 6*b^3*c^3*e*f + 8*a^3*d^3*e*f*m + 8*b^3*c^3*e*f*m + a*b^2*c^3*f^2*m + a^2*b*d^3*e^2*m + 7*a^3*c*d^2*f^2*m + 7*b^3*c^2*d*e^2*m + 2*a^3*d^3*e*f*m^2 + 2*b^3*c^3*e*f*m^2 + a*b^2*c^3*f^2*m^2 + a^2*b*d^3*e^2*m^2 + a^3*c*d^2*f^2*m^2 + b^3*c^2*d*e^2*m^2 - 2*a*b^2*c*d^2*e^2*m^2 - 2*a^2*b*c^2*d*f^2*m^2 - 18*a*b^2*c^2*d*e*f - 18*a^2*b*c*d^2*e*f - 8*a*b^2*c*d^2*e^2*m - 8*a^2*b*c^2*d*f^2*m - 2*a*b^2*c^2*d*e*f*m^2 - 2*a^2*b*c*d^2*e*f*m^2 - 8*a*b^2*c^2*d*e*f*m - 8*a^2*b*c*d^2*e*f*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x*(a + b*x)^m*(2*a^3*d^3*e^2 + 6*b^3*c^3*e^2 + 8*a^3*c^2*d*f^2 + 3*a^3*d^3*e^2*m + 5*b^3*c^3*e^2*m + a^3*d^3*e^2*m^2 + b^3*c^3*e^2*m^2 + 8*a^3*c*d^2*e*f + 6*a*b^2*c^2*d*e^2 - 6*a^2*b*c*d^2*e^2 - 2*a^2*b*c^3*f^2*m + 2*a^3*c^2*d*f^2*m - a*b^2*c^2*d*e^2*m^2 - a^2*b*c*d^2*e^2*m^2 - 24*a^2*b*c^2*d*e*f + 6*a*b^2*c^3*e*f*m + 10*a^3*c*d^2*e*f*m - a*b^2*c^2*d*e^2*m - 7*a^2*b*c*d^2*e^2*m + 2*a*b^2*c^3*e*f*m^2 + 2*a^3*c*d^2*e*f*m^2 - 4*a^2*b*c^2*d*e*f*m^2 - 16*a^2*b*c^2*d*e*f*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (a*c*(a + b*x)^m*(2*a^2*c^2*f^2 + 2*a^2*d^2*e^2 + 6*b^2*c^2*e^2 + 3*a^2*d^2*e^2*m + 5*b^2*c^2*e^2*m + a^2*d^2*e^2*m^2 + b^2*c^2*e^2*m^2 - 6*a*b*c*d*e^2 - 6*a*b*c^2*e*f + 2*a^2*c*d*e*f - 8*a*b*c*d*e^2*m - 2*a*b*c^2*e*f*m + 2*a^2*c*d*e*f*m - 2*a*b*c*d*e^2*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (b*d*x^4*(a + b*x)^m*(6*a^2*d^2*f^2 + 2*b^2*c^2*f^2 + 2*b^2*d^2*e^2 + 5*a^2*d^2*f^2*m + 3*b^2*c^2*f^2*m + a^2*d^2*f^2*m^2 + b^2*c^2*f^2*m^2 - 6*a*b*c*d*f^2 - 6*a*b*d^2*e*f + 2*b^2*c*d*e*f - 8*a*b*c*d*f^2*m - 2*a*b*d^2*e*f*m + 2*b^2*c*d*e*f*m - 2*a*b*c*d*f^2*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6))","B"
3099,1,874,188,3.440600,"\text{Not used}","int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 4),x)","-\frac{x\,{\left(a+b\,x\right)}^m\,\left(f\,a^3\,c\,d^2\,m^2+5\,f\,a^3\,c\,d^2\,m+4\,f\,a^3\,c\,d^2+e\,a^3\,d^3\,m^2+3\,e\,a^3\,d^3\,m+2\,e\,a^3\,d^3-2\,f\,a^2\,b\,c^2\,d\,m^2-8\,f\,a^2\,b\,c^2\,d\,m-12\,f\,a^2\,b\,c^2\,d-e\,a^2\,b\,c\,d^2\,m^2-7\,e\,a^2\,b\,c\,d^2\,m-6\,e\,a^2\,b\,c\,d^2+f\,a\,b^2\,c^3\,m^2+3\,f\,a\,b^2\,c^3\,m-e\,a\,b^2\,c^2\,d\,m^2-e\,a\,b^2\,c^2\,d\,m+6\,e\,a\,b^2\,c^2\,d+e\,b^3\,c^3\,m^2+5\,e\,b^3\,c^3\,m+6\,e\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(f\,a^3\,d^3\,m^2+4\,f\,a^3\,d^3\,m+3\,f\,a^3\,d^3-f\,a^2\,b\,c\,d^2\,m^2-4\,f\,a^2\,b\,c\,d^2\,m-9\,f\,a^2\,b\,c\,d^2+e\,a^2\,b\,d^3\,m^2+e\,a^2\,b\,d^3\,m-f\,a\,b^2\,c^2\,d\,m^2-4\,f\,a\,b^2\,c^2\,d\,m-9\,f\,a\,b^2\,c^2\,d-2\,e\,a\,b^2\,c\,d^2\,m^2-8\,e\,a\,b^2\,c\,d^2\,m+f\,b^3\,c^3\,m^2+4\,f\,b^3\,c^3\,m+3\,f\,b^3\,c^3+e\,b^3\,c^2\,d\,m^2+7\,e\,b^3\,c^2\,d\,m+12\,e\,b^3\,c^2\,d\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^m\,\left(f\,a^2\,c\,d\,m+f\,a^2\,c\,d+e\,a^2\,d^2\,m^2+3\,e\,a^2\,d^2\,m+2\,e\,a^2\,d^2-f\,a\,b\,c^2\,m-3\,f\,a\,b\,c^2-2\,e\,a\,b\,c\,d\,m^2-8\,e\,a\,b\,c\,d\,m-6\,e\,a\,b\,c\,d+e\,b^2\,c^2\,m^2+5\,e\,b^2\,c^2\,m+6\,e\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{b^2\,d^2\,x^4\,{\left(a+b\,x\right)}^m\,\left(b\,c\,f-3\,a\,d\,f+2\,b\,d\,e-a\,d\,f\,m+b\,c\,f\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{b\,d\,x^3\,{\left(a+b\,x\right)}^m\,\left(4\,b\,c-a\,d\,m+b\,c\,m\right)\,\left(b\,c\,f-3\,a\,d\,f+2\,b\,d\,e-a\,d\,f\,m+b\,c\,f\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}","Not used",1,"- (x*(a + b*x)^m*(2*a^3*d^3*e + 6*b^3*c^3*e + a^3*d^3*e*m^2 + b^3*c^3*e*m^2 + 4*a^3*c*d^2*f + 3*a^3*d^3*e*m + 5*b^3*c^3*e*m + 6*a*b^2*c^2*d*e - 6*a^2*b*c*d^2*e - 12*a^2*b*c^2*d*f + 3*a*b^2*c^3*f*m + 5*a^3*c*d^2*f*m + a*b^2*c^3*f*m^2 + a^3*c*d^2*f*m^2 - a*b^2*c^2*d*e*m - 7*a^2*b*c*d^2*e*m - 8*a^2*b*c^2*d*f*m - a*b^2*c^2*d*e*m^2 - a^2*b*c*d^2*e*m^2 - 2*a^2*b*c^2*d*f*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (x^2*(a + b*x)^m*(3*a^3*d^3*f + 3*b^3*c^3*f + a^3*d^3*f*m^2 + b^3*c^3*f*m^2 + 12*b^3*c^2*d*e + 4*a^3*d^3*f*m + 4*b^3*c^3*f*m - 9*a*b^2*c^2*d*f - 9*a^2*b*c*d^2*f + a^2*b*d^3*e*m + 7*b^3*c^2*d*e*m + a^2*b*d^3*e*m^2 + b^3*c^2*d*e*m^2 - 8*a*b^2*c*d^2*e*m - 4*a*b^2*c^2*d*f*m - 4*a^2*b*c*d^2*f*m - 2*a*b^2*c*d^2*e*m^2 - a*b^2*c^2*d*f*m^2 - a^2*b*c*d^2*f*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (a*c*(a + b*x)^m*(2*a^2*d^2*e + 6*b^2*c^2*e + a^2*d^2*e*m^2 + b^2*c^2*e*m^2 - 3*a*b*c^2*f + a^2*c*d*f + 3*a^2*d^2*e*m + 5*b^2*c^2*e*m - 6*a*b*c*d*e - a*b*c^2*f*m + a^2*c*d*f*m - 2*a*b*c*d*e*m^2 - 8*a*b*c*d*e*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (b^2*d^2*x^4*(a + b*x)^m*(b*c*f - 3*a*d*f + 2*b*d*e - a*d*f*m + b*c*f*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (b*d*x^3*(a + b*x)^m*(4*b*c - a*d*m + b*c*m)*(b*c*f - 3*a*d*f + 2*b*d*e - a*d*f*m + b*c*f*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6))","B"
3100,1,528,130,3.067314,"\text{Not used}","int((a + b*x)^m/(c + d*x)^(m + 4),x)","-\frac{x\,{\left(a+b\,x\right)}^m\,\left(a^3\,d^3\,m^2+3\,a^3\,d^3\,m+2\,a^3\,d^3-a^2\,b\,c\,d^2\,m^2-7\,a^2\,b\,c\,d^2\,m-6\,a^2\,b\,c\,d^2-a\,b^2\,c^2\,d\,m^2-a\,b^2\,c^2\,d\,m+6\,a\,b^2\,c^2\,d+b^3\,c^3\,m^2+5\,b^3\,c^3\,m+6\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^m\,\left(a^2\,d^2\,m^2+3\,a^2\,d^2\,m+2\,a^2\,d^2-2\,a\,b\,c\,d\,m^2-8\,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)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{2\,b^3\,d^3\,x^4\,{\left(a+b\,x\right)}^m}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^m\,\left(a^2\,d^2\,m^2+a^2\,d^2\,m-2\,a\,b\,c\,d\,m^2-8\,a\,b\,c\,d\,m+b^2\,c^2\,m^2+7\,b^2\,c^2\,m+12\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}-\frac{2\,b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^m\,\left(4\,b\,c-a\,d\,m+b\,c\,m\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{m+4}\,\left(m^3+6\,m^2+11\,m+6\right)}","Not used",1,"- (x*(a + b*x)^m*(2*a^3*d^3 + 6*b^3*c^3 + 3*a^3*d^3*m + 5*b^3*c^3*m + a^3*d^3*m^2 + b^3*c^3*m^2 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2 - a*b^2*c^2*d*m - 7*a^2*b*c*d^2*m - a*b^2*c^2*d*m^2 - a^2*b*c*d^2*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (a*c*(a + b*x)^m*(2*a^2*d^2 + 6*b^2*c^2 + 3*a^2*d^2*m + 5*b^2*c^2*m + a^2*d^2*m^2 + b^2*c^2*m^2 - 6*a*b*c*d - 8*a*b*c*d*m - 2*a*b*c*d*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (2*b^3*d^3*x^4*(a + b*x)^m)/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (b*d*x^2*(a + b*x)^m*(12*b^2*c^2 + a^2*d^2*m + 7*b^2*c^2*m + a^2*d^2*m^2 + b^2*c^2*m^2 - 8*a*b*c*d*m - 2*a*b*c*d*m^2))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6)) - (2*b^2*d^2*x^3*(a + b*x)^m*(4*b*c - a*d*m + b*c*m))/((a*d - b*c)^3*(c + d*x)^(m + 4)*(11*m + 6*m^2 + m^3 + 6))","B"
3101,0,-1,330,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 4)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{m+4}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 4)), x)","F"
3102,0,-1,634,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 4)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^{m+4}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)^(m + 4)), x)","F"
3103,0,-1,133,0.000000,"\text{Not used}","int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 5),x)","\int \frac{{\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+5}} \,d x","Not used",1,"int(((e + f*x)^p*(a + b*x)^m)/(c + d*x)^(m + 5), x)","F"
3104,0,-1,546,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(4*x - 5)^5)/(2*x + 1)^(m + 5),x)","-\int \frac{{\left(3\,x+2\right)}^m\,{\left(4\,x-5\right)}^5}{{\left(2\,x+1\right)}^{m+5}} \,d x","Not used",1,"-int(((3*x + 2)^m*(4*x - 5)^5)/(2*x + 1)^(m + 5), x)","F"
3105,0,-1,650,0.000000,"\text{Not used}","int(((e + f*x)^4*(a + b*x)^m)/(c + d*x)^(m + 5),x)","\int \frac{{\left(e+f\,x\right)}^4\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+5}} \,d x","Not used",1,"int(((e + f*x)^4*(a + b*x)^m)/(c + d*x)^(m + 5), x)","F"
3106,1,4265,460,6.852902,"\text{Not used}","int(((e + f*x)^3*(a + b*x)^m)/(c + d*x)^(m + 5),x)","\frac{x^3\,{\left(a+b\,x\right)}^m\,\left(-a^4\,c\,d^3\,f^3\,m^3-12\,a^4\,c\,d^3\,f^3\,m^2-47\,a^4\,c\,d^3\,f^3\,m-60\,a^4\,c\,d^3\,f^3-3\,a^4\,d^4\,e\,f^2\,m^3-24\,a^4\,d^4\,e\,f^2\,m^2-57\,a^4\,d^4\,e\,f^2\,m-36\,a^4\,d^4\,e\,f^2+3\,a^3\,b\,c^2\,d^2\,f^3\,m^3+27\,a^3\,b\,c^2\,d^2\,f^3\,m^2+60\,a^3\,b\,c^2\,d^2\,f^3\,m+6\,a^3\,b\,c\,d^3\,e\,f^2\,m^3+42\,a^3\,b\,c\,d^3\,e\,f^2\,m^2+108\,a^3\,b\,c\,d^3\,e\,f^2\,m+144\,a^3\,b\,c\,d^3\,e\,f^2-3\,a^3\,b\,d^4\,e^2\,f\,m^3-15\,a^3\,b\,d^4\,e^2\,f\,m^2-12\,a^3\,b\,d^4\,e^2\,f\,m-3\,a^2\,b^2\,c^3\,d\,f^3\,m^3-18\,a^2\,b^2\,c^3\,d\,f^3\,m^2-15\,a^2\,b^2\,c^3\,d\,f^3\,m+9\,a^2\,b^2\,c^2\,d^2\,e\,f^2\,m^2+45\,a^2\,b^2\,c^2\,d^2\,e\,f^2\,m+144\,a^2\,b^2\,c^2\,d^2\,e\,f^2+9\,a^2\,b^2\,c\,d^3\,e^2\,f\,m^3+60\,a^2\,b^2\,c\,d^3\,e^2\,f\,m^2+123\,a^2\,b^2\,c\,d^3\,e^2\,f\,m+3\,a^2\,b^2\,d^4\,e^3\,m^2+3\,a^2\,b^2\,d^4\,e^3\,m+a\,b^3\,c^4\,f^3\,m^3+3\,a\,b^3\,c^4\,f^3\,m^2+2\,a\,b^3\,c^4\,f^3\,m-6\,a\,b^3\,c^3\,d\,e\,f^2\,m^3-48\,a\,b^3\,c^3\,d\,e\,f^2\,m^2-138\,a\,b^3\,c^3\,d\,e\,f^2\,m-96\,a\,b^3\,c^3\,d\,e\,f^2-9\,a\,b^3\,c^2\,d^2\,e^2\,f\,m^3-75\,a\,b^3\,c^2\,d^2\,e^2\,f\,m^2-198\,a\,b^3\,c^2\,d^2\,e^2\,f\,m-240\,a\,b^3\,c^2\,d^2\,e^2\,f-6\,a\,b^3\,c\,d^3\,e^3\,m^2-30\,a\,b^3\,c\,d^3\,e^3\,m+3\,b^4\,c^4\,e\,f^2\,m^3+21\,b^4\,c^4\,e\,f^2\,m^2+42\,b^4\,c^4\,e\,f^2\,m+24\,b^4\,c^4\,e\,f^2+3\,b^4\,c^3\,d\,e^2\,f\,m^3+30\,b^4\,c^3\,d\,e^2\,f\,m^2+87\,b^4\,c^3\,d\,e^2\,f\,m+60\,b^4\,c^3\,d\,e^2\,f+3\,b^4\,c^2\,d^2\,e^3\,m^2+27\,b^4\,c^2\,d^2\,e^3\,m+60\,b^4\,c^2\,d^2\,e^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{{\left(a+b\,x\right)}^m\,\left(6\,a^4\,c^4\,f^3+6\,a^4\,c^3\,d\,e\,f^2\,m+6\,a^4\,c^3\,d\,e\,f^2+3\,a^4\,c^2\,d^2\,e^2\,f\,m^2+9\,a^4\,c^2\,d^2\,e^2\,f\,m+6\,a^4\,c^2\,d^2\,e^2\,f+a^4\,c\,d^3\,e^3\,m^3+6\,a^4\,c\,d^3\,e^3\,m^2+11\,a^4\,c\,d^3\,e^3\,m+6\,a^4\,c\,d^3\,e^3-6\,a^3\,b\,c^4\,e\,f^2\,m-24\,a^3\,b\,c^4\,e\,f^2-6\,a^3\,b\,c^3\,d\,e^2\,f\,m^2-30\,a^3\,b\,c^3\,d\,e^2\,f\,m-24\,a^3\,b\,c^3\,d\,e^2\,f-3\,a^3\,b\,c^2\,d^2\,e^3\,m^3-21\,a^3\,b\,c^2\,d^2\,e^3\,m^2-42\,a^3\,b\,c^2\,d^2\,e^3\,m-24\,a^3\,b\,c^2\,d^2\,e^3+3\,a^2\,b^2\,c^4\,e^2\,f\,m^2+21\,a^2\,b^2\,c^4\,e^2\,f\,m+36\,a^2\,b^2\,c^4\,e^2\,f+3\,a^2\,b^2\,c^3\,d\,e^3\,m^3+24\,a^2\,b^2\,c^3\,d\,e^3\,m^2+57\,a^2\,b^2\,c^3\,d\,e^3\,m+36\,a^2\,b^2\,c^3\,d\,e^3-a\,b^3\,c^4\,e^3\,m^3-9\,a\,b^3\,c^4\,e^3\,m^2-26\,a\,b^3\,c^4\,e^3\,m-24\,a\,b^3\,c^4\,e^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^4\,{\left(a+b\,x\right)}^m\,\left(-a^4\,d^4\,f^3\,m^3-9\,a^4\,d^4\,f^3\,m^2-26\,a^4\,d^4\,f^3\,m-24\,a^4\,d^4\,f^3+2\,a^3\,b\,c\,d^3\,f^3\,m^3+12\,a^3\,b\,c\,d^3\,f^3\,m^2+10\,a^3\,b\,c\,d^3\,f^3\,m-24\,a^3\,b\,c\,d^3\,f^3-3\,a^3\,b\,d^4\,e\,f^2\,m^3-21\,a^3\,b\,d^4\,e\,f^2\,m^2-36\,a^3\,b\,d^4\,e\,f^2\,m+9\,a^2\,b^2\,c^2\,d^2\,f^3\,m^2+45\,a^2\,b^2\,c^2\,d^2\,f^3\,m+36\,a^2\,b^2\,c^2\,d^2\,f^3+9\,a^2\,b^2\,c\,d^3\,e\,f^2\,m^3+66\,a^2\,b^2\,c\,d^3\,e\,f^2\,m^2+165\,a^2\,b^2\,c\,d^3\,e\,f^2\,m+180\,a^2\,b^2\,c\,d^3\,e\,f^2+6\,a^2\,b^2\,d^4\,e^2\,f\,m^2+24\,a^2\,b^2\,d^4\,e^2\,f\,m-2\,a\,b^3\,c^3\,d\,f^3\,m^3-18\,a\,b^3\,c^3\,d\,f^3\,m^2-40\,a\,b^3\,c^3\,d\,f^3\,m-24\,a\,b^3\,c^3\,d\,f^3-9\,a\,b^3\,c^2\,d^2\,e\,f^2\,m^3-69\,a\,b^3\,c^2\,d^2\,e\,f^2\,m^2-180\,a\,b^3\,c^2\,d^2\,e\,f^2\,m-120\,a\,b^3\,c^2\,d^2\,e\,f^2-12\,a\,b^3\,c\,d^3\,e^2\,f\,m^2-60\,a\,b^3\,c\,d^3\,e^2\,f\,m-120\,a\,b^3\,c\,d^3\,e^2\,f-6\,a\,b^3\,d^4\,e^3\,m+b^4\,c^4\,f^3\,m^3+6\,b^4\,c^4\,f^3\,m^2+11\,b^4\,c^4\,f^3\,m+6\,b^4\,c^4\,f^3+3\,b^4\,c^3\,d\,e\,f^2\,m^3+24\,b^4\,c^3\,d\,e\,f^2\,m^2+51\,b^4\,c^3\,d\,e\,f^2\,m+30\,b^4\,c^3\,d\,e\,f^2+6\,b^4\,c^2\,d^2\,e^2\,f\,m^2+36\,b^4\,c^2\,d^2\,e^2\,f\,m+30\,b^4\,c^2\,d^2\,e^2\,f+6\,b^4\,c\,d^3\,e^3\,m+30\,b^4\,c\,d^3\,e^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(6\,a^4\,c^3\,d\,f^3\,m+30\,a^4\,c^3\,d\,f^3+6\,a^4\,c^2\,d^2\,e\,f^2\,m^2+36\,a^4\,c^2\,d^2\,e\,f^2\,m+30\,a^4\,c^2\,d^2\,e\,f^2+3\,a^4\,c\,d^3\,e^2\,f\,m^3+24\,a^4\,c\,d^3\,e^2\,f\,m^2+51\,a^4\,c\,d^3\,e^2\,f\,m+30\,a^4\,c\,d^3\,e^2\,f+a^4\,d^4\,e^3\,m^3+6\,a^4\,d^4\,e^3\,m^2+11\,a^4\,d^4\,e^3\,m+6\,a^4\,d^4\,e^3-6\,a^3\,b\,c^4\,f^3\,m-12\,a^3\,b\,c^3\,d\,e\,f^2\,m^2-60\,a^3\,b\,c^3\,d\,e\,f^2\,m-120\,a^3\,b\,c^3\,d\,e\,f^2-9\,a^3\,b\,c^2\,d^2\,e^2\,f\,m^3-69\,a^3\,b\,c^2\,d^2\,e^2\,f\,m^2-180\,a^3\,b\,c^2\,d^2\,e^2\,f\,m-120\,a^3\,b\,c^2\,d^2\,e^2\,f-2\,a^3\,b\,c\,d^3\,e^3\,m^3-18\,a^3\,b\,c\,d^3\,e^3\,m^2-40\,a^3\,b\,c\,d^3\,e^3\,m-24\,a^3\,b\,c\,d^3\,e^3+6\,a^2\,b^2\,c^4\,e\,f^2\,m^2+24\,a^2\,b^2\,c^4\,e\,f^2\,m+9\,a^2\,b^2\,c^3\,d\,e^2\,f\,m^3+66\,a^2\,b^2\,c^3\,d\,e^2\,f\,m^2+165\,a^2\,b^2\,c^3\,d\,e^2\,f\,m+180\,a^2\,b^2\,c^3\,d\,e^2\,f+9\,a^2\,b^2\,c^2\,d^2\,e^3\,m^2+45\,a^2\,b^2\,c^2\,d^2\,e^3\,m+36\,a^2\,b^2\,c^2\,d^2\,e^3-3\,a\,b^3\,c^4\,e^2\,f\,m^3-21\,a\,b^3\,c^4\,e^2\,f\,m^2-36\,a\,b^3\,c^4\,e^2\,f\,m+2\,a\,b^3\,c^3\,d\,e^3\,m^3+12\,a\,b^3\,c^3\,d\,e^3\,m^2+10\,a\,b^3\,c^3\,d\,e^3\,m-24\,a\,b^3\,c^3\,d\,e^3-b^4\,c^4\,e^3\,m^3-9\,b^4\,c^4\,e^3\,m^2-26\,b^4\,c^4\,e^3\,m-24\,b^4\,c^4\,e^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^5\,{\left(a+b\,x\right)}^m\,\left(-a^3\,b\,d^4\,f^3\,m^3-9\,a^3\,b\,d^4\,f^3\,m^2-26\,a^3\,b\,d^4\,f^3\,m-24\,a^3\,b\,d^4\,f^3+3\,a^2\,b^2\,c\,d^3\,f^3\,m^3+24\,a^2\,b^2\,c\,d^3\,f^3\,m^2+57\,a^2\,b^2\,c\,d^3\,f^3\,m+36\,a^2\,b^2\,c\,d^3\,f^3+3\,a^2\,b^2\,d^4\,e\,f^2\,m^2+21\,a^2\,b^2\,d^4\,e\,f^2\,m+36\,a^2\,b^2\,d^4\,e\,f^2-3\,a\,b^3\,c^2\,d^2\,f^3\,m^3-21\,a\,b^3\,c^2\,d^2\,f^3\,m^2-42\,a\,b^3\,c^2\,d^2\,f^3\,m-24\,a\,b^3\,c^2\,d^2\,f^3-6\,a\,b^3\,c\,d^3\,e\,f^2\,m^2-30\,a\,b^3\,c\,d^3\,e\,f^2\,m-24\,a\,b^3\,c\,d^3\,e\,f^2-6\,a\,b^3\,d^4\,e^2\,f\,m-24\,a\,b^3\,d^4\,e^2\,f+b^4\,c^3\,d\,f^3\,m^3+6\,b^4\,c^3\,d\,f^3\,m^2+11\,b^4\,c^3\,d\,f^3\,m+6\,b^4\,c^3\,d\,f^3+3\,b^4\,c^2\,d^2\,e\,f^2\,m^2+9\,b^4\,c^2\,d^2\,e\,f^2\,m+6\,b^4\,c^2\,d^2\,e\,f^2+6\,b^4\,c\,d^3\,e^2\,f\,m+6\,b^4\,c\,d^3\,e^2\,f+6\,b^4\,d^4\,e^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(3\,a^4\,c^2\,d^2\,f^3\,m^2+27\,a^4\,c^2\,d^2\,f^3\,m+60\,a^4\,c^2\,d^2\,f^3+3\,a^4\,c\,d^3\,e\,f^2\,m^3+30\,a^4\,c\,d^3\,e\,f^2\,m^2+87\,a^4\,c\,d^3\,e\,f^2\,m+60\,a^4\,c\,d^3\,e\,f^2+3\,a^4\,d^4\,e^2\,f\,m^3+21\,a^4\,d^4\,e^2\,f\,m^2+42\,a^4\,d^4\,e^2\,f\,m+24\,a^4\,d^4\,e^2\,f-6\,a^3\,b\,c^3\,d\,f^3\,m^2-30\,a^3\,b\,c^3\,d\,f^3\,m-9\,a^3\,b\,c^2\,d^2\,e\,f^2\,m^3-75\,a^3\,b\,c^2\,d^2\,e\,f^2\,m^2-198\,a^3\,b\,c^2\,d^2\,e\,f^2\,m-240\,a^3\,b\,c^2\,d^2\,e\,f^2-6\,a^3\,b\,c\,d^3\,e^2\,f\,m^3-48\,a^3\,b\,c\,d^3\,e^2\,f\,m^2-138\,a^3\,b\,c\,d^3\,e^2\,f\,m-96\,a^3\,b\,c\,d^3\,e^2\,f+a^3\,b\,d^4\,e^3\,m^3+3\,a^3\,b\,d^4\,e^3\,m^2+2\,a^3\,b\,d^4\,e^3\,m+3\,a^2\,b^2\,c^4\,f^3\,m^2+3\,a^2\,b^2\,c^4\,f^3\,m+9\,a^2\,b^2\,c^3\,d\,e\,f^2\,m^3+60\,a^2\,b^2\,c^3\,d\,e\,f^2\,m^2+123\,a^2\,b^2\,c^3\,d\,e\,f^2\,m+9\,a^2\,b^2\,c^2\,d^2\,e^2\,f\,m^2+45\,a^2\,b^2\,c^2\,d^2\,e^2\,f\,m+144\,a^2\,b^2\,c^2\,d^2\,e^2\,f-3\,a^2\,b^2\,c\,d^3\,e^3\,m^3-18\,a^2\,b^2\,c\,d^3\,e^3\,m^2-15\,a^2\,b^2\,c\,d^3\,e^3\,m-3\,a\,b^3\,c^4\,e\,f^2\,m^3-15\,a\,b^3\,c^4\,e\,f^2\,m^2-12\,a\,b^3\,c^4\,e\,f^2\,m+6\,a\,b^3\,c^3\,d\,e^2\,f\,m^3+42\,a\,b^3\,c^3\,d\,e^2\,f\,m^2+108\,a\,b^3\,c^3\,d\,e^2\,f\,m+144\,a\,b^3\,c^3\,d\,e^2\,f+3\,a\,b^3\,c^2\,d^2\,e^3\,m^3+27\,a\,b^3\,c^2\,d^2\,e^3\,m^2+60\,a\,b^3\,c^2\,d^2\,e^3\,m-3\,b^4\,c^4\,e^2\,f\,m^3-24\,b^4\,c^4\,e^2\,f\,m^2-57\,b^4\,c^4\,e^2\,f\,m-36\,b^4\,c^4\,e^2\,f-b^4\,c^3\,d\,e^3\,m^3-12\,b^4\,c^3\,d\,e^3\,m^2-47\,b^4\,c^3\,d\,e^3\,m-60\,b^4\,c^3\,d\,e^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(x^3*(a + b*x)^m*(24*b^4*c^4*e*f^2 - 36*a^4*d^4*e*f^2 - 60*a^4*c*d^3*f^3 + 60*b^4*c^2*d^2*e^3 + 3*a^2*b^2*d^4*e^3*m^2 + 3*b^4*c^2*d^2*e^3*m^2 + 60*b^4*c^3*d*e^2*f + 2*a*b^3*c^4*f^3*m - 47*a^4*c*d^3*f^3*m - 57*a^4*d^4*e*f^2*m + 42*b^4*c^4*e*f^2*m + 3*a^2*b^2*d^4*e^3*m + 3*a*b^3*c^4*f^3*m^2 + a*b^3*c^4*f^3*m^3 + 27*b^4*c^2*d^2*e^3*m - 12*a^4*c*d^3*f^3*m^2 - a^4*c*d^3*f^3*m^3 - 24*a^4*d^4*e*f^2*m^2 + 21*b^4*c^4*e*f^2*m^2 - 3*a^4*d^4*e*f^2*m^3 + 3*b^4*c^4*e*f^2*m^3 - 240*a*b^3*c^2*d^2*e^2*f - 6*a*b^3*c*d^3*e^3*m^2 - 15*a^2*b^2*c^3*d*f^3*m + 60*a^3*b*c^2*d^2*f^3*m - 15*a^3*b*d^4*e^2*f*m^2 - 3*a^3*b*d^4*e^2*f*m^3 + 30*b^4*c^3*d*e^2*f*m^2 + 3*b^4*c^3*d*e^2*f*m^3 + 144*a^2*b^2*c^2*d^2*e*f^2 - 18*a^2*b^2*c^3*d*f^3*m^2 + 27*a^3*b*c^2*d^2*f^3*m^2 - 3*a^2*b^2*c^3*d*f^3*m^3 + 3*a^3*b*c^2*d^2*f^3*m^3 - 96*a*b^3*c^3*d*e*f^2 + 144*a^3*b*c*d^3*e*f^2 - 30*a*b^3*c*d^3*e^3*m - 12*a^3*b*d^4*e^2*f*m + 87*b^4*c^3*d*e^2*f*m - 138*a*b^3*c^3*d*e*f^2*m + 108*a^3*b*c*d^3*e*f^2*m + 9*a^2*b^2*c^2*d^2*e*f^2*m^2 - 198*a*b^3*c^2*d^2*e^2*f*m + 123*a^2*b^2*c*d^3*e^2*f*m - 48*a*b^3*c^3*d*e*f^2*m^2 + 42*a^3*b*c*d^3*e*f^2*m^2 - 6*a*b^3*c^3*d*e*f^2*m^3 + 6*a^3*b*c*d^3*e*f^2*m^3 + 45*a^2*b^2*c^2*d^2*e*f^2*m - 75*a*b^3*c^2*d^2*e^2*f*m^2 + 60*a^2*b^2*c*d^3*e^2*f*m^2 - 9*a*b^3*c^2*d^2*e^2*f*m^3 + 9*a^2*b^2*c*d^3*e^2*f*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - ((a + b*x)^m*(6*a^4*c^4*f^3 - 24*a*b^3*c^4*e^3 + 6*a^4*c*d^3*e^3 - 24*a^3*b*c^4*e*f^2 + 6*a^4*c^3*d*e*f^2 - 26*a*b^3*c^4*e^3*m + 11*a^4*c*d^3*e^3*m + 36*a^2*b^2*c^3*d*e^3 - 24*a^3*b*c^2*d^2*e^3 + 36*a^2*b^2*c^4*e^2*f + 6*a^4*c^2*d^2*e^2*f - 9*a*b^3*c^4*e^3*m^2 - a*b^3*c^4*e^3*m^3 + 6*a^4*c*d^3*e^3*m^2 + a^4*c*d^3*e^3*m^3 + 57*a^2*b^2*c^3*d*e^3*m - 42*a^3*b*c^2*d^2*e^3*m + 21*a^2*b^2*c^4*e^2*f*m + 9*a^4*c^2*d^2*e^2*f*m + 24*a^2*b^2*c^3*d*e^3*m^2 - 21*a^3*b*c^2*d^2*e^3*m^2 + 3*a^2*b^2*c^3*d*e^3*m^3 - 3*a^3*b*c^2*d^2*e^3*m^3 + 3*a^2*b^2*c^4*e^2*f*m^2 + 3*a^4*c^2*d^2*e^2*f*m^2 - 24*a^3*b*c^3*d*e^2*f - 6*a^3*b*c^4*e*f^2*m + 6*a^4*c^3*d*e*f^2*m - 30*a^3*b*c^3*d*e^2*f*m - 6*a^3*b*c^3*d*e^2*f*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^4*(a + b*x)^m*(6*b^4*c^4*f^3 - 24*a^4*d^4*f^3 + 30*b^4*c*d^3*e^3 - 26*a^4*d^4*f^3*m + 11*b^4*c^4*f^3*m - 9*a^4*d^4*f^3*m^2 + 6*b^4*c^4*f^3*m^2 - a^4*d^4*f^3*m^3 + b^4*c^4*f^3*m^3 + 36*a^2*b^2*c^2*d^2*f^3 - 24*a*b^3*c^3*d*f^3 - 24*a^3*b*c*d^3*f^3 + 30*b^4*c^3*d*e*f^2 - 6*a*b^3*d^4*e^3*m + 6*b^4*c*d^3*e^3*m + 30*b^4*c^2*d^2*e^2*f - 120*a*b^3*c^2*d^2*e*f^2 + 180*a^2*b^2*c*d^3*e*f^2 - 18*a*b^3*c^3*d*f^3*m^2 + 12*a^3*b*c*d^3*f^3*m^2 - 2*a*b^3*c^3*d*f^3*m^3 + 2*a^3*b*c*d^3*f^3*m^3 + 24*a^2*b^2*d^4*e^2*f*m - 21*a^3*b*d^4*e*f^2*m^2 - 3*a^3*b*d^4*e*f^2*m^3 + 36*b^4*c^2*d^2*e^2*f*m + 24*b^4*c^3*d*e*f^2*m^2 + 3*b^4*c^3*d*e*f^2*m^3 + 45*a^2*b^2*c^2*d^2*f^3*m + 6*a^2*b^2*d^4*e^2*f*m^2 + 6*b^4*c^2*d^2*e^2*f*m^2 - 120*a*b^3*c*d^3*e^2*f - 40*a*b^3*c^3*d*f^3*m + 10*a^3*b*c*d^3*f^3*m - 36*a^3*b*d^4*e*f^2*m + 51*b^4*c^3*d*e*f^2*m + 9*a^2*b^2*c^2*d^2*f^3*m^2 - 60*a*b^3*c*d^3*e^2*f*m - 180*a*b^3*c^2*d^2*e*f^2*m + 165*a^2*b^2*c*d^3*e*f^2*m - 12*a*b^3*c*d^3*e^2*f*m^2 - 69*a*b^3*c^2*d^2*e*f^2*m^2 + 66*a^2*b^2*c*d^3*e*f^2*m^2 - 9*a*b^3*c^2*d^2*e*f^2*m^3 + 9*a^2*b^2*c*d^3*e*f^2*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x*(a + b*x)^m*(6*a^4*d^4*e^3 - 24*b^4*c^4*e^3 + 30*a^4*c^3*d*f^3 + 11*a^4*d^4*e^3*m - 26*b^4*c^4*e^3*m + 6*a^4*d^4*e^3*m^2 - 9*b^4*c^4*e^3*m^2 + a^4*d^4*e^3*m^3 - b^4*c^4*e^3*m^3 + 36*a^2*b^2*c^2*d^2*e^3 - 24*a*b^3*c^3*d*e^3 - 24*a^3*b*c*d^3*e^3 + 30*a^4*c*d^3*e^2*f - 6*a^3*b*c^4*f^3*m + 6*a^4*c^3*d*f^3*m + 30*a^4*c^2*d^2*e*f^2 + 180*a^2*b^2*c^3*d*e^2*f - 120*a^3*b*c^2*d^2*e^2*f + 12*a*b^3*c^3*d*e^3*m^2 - 18*a^3*b*c*d^3*e^3*m^2 + 2*a*b^3*c^3*d*e^3*m^3 - 2*a^3*b*c*d^3*e^3*m^3 + 24*a^2*b^2*c^4*e*f^2*m - 21*a*b^3*c^4*e^2*f*m^2 - 3*a*b^3*c^4*e^2*f*m^3 + 36*a^4*c^2*d^2*e*f^2*m + 24*a^4*c*d^3*e^2*f*m^2 + 3*a^4*c*d^3*e^2*f*m^3 + 45*a^2*b^2*c^2*d^2*e^3*m + 6*a^2*b^2*c^4*e*f^2*m^2 + 6*a^4*c^2*d^2*e*f^2*m^2 - 120*a^3*b*c^3*d*e*f^2 + 10*a*b^3*c^3*d*e^3*m - 40*a^3*b*c*d^3*e^3*m - 36*a*b^3*c^4*e^2*f*m + 51*a^4*c*d^3*e^2*f*m + 9*a^2*b^2*c^2*d^2*e^3*m^2 - 60*a^3*b*c^3*d*e*f^2*m + 165*a^2*b^2*c^3*d*e^2*f*m - 180*a^3*b*c^2*d^2*e^2*f*m - 12*a^3*b*c^3*d*e*f^2*m^2 + 66*a^2*b^2*c^3*d*e^2*f*m^2 - 69*a^3*b*c^2*d^2*e^2*f*m^2 + 9*a^2*b^2*c^3*d*e^2*f*m^3 - 9*a^3*b*c^2*d^2*e^2*f*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^5*(a + b*x)^m*(6*b^4*d^4*e^3 - 24*a^3*b*d^4*f^3 + 6*b^4*c^3*d*f^3 - 24*a*b^3*d^4*e^2*f + 6*b^4*c*d^3*e^2*f - 26*a^3*b*d^4*f^3*m + 11*b^4*c^3*d*f^3*m - 24*a*b^3*c^2*d^2*f^3 + 36*a^2*b^2*c*d^3*f^3 + 36*a^2*b^2*d^4*e*f^2 + 6*b^4*c^2*d^2*e*f^2 - 9*a^3*b*d^4*f^3*m^2 - a^3*b*d^4*f^3*m^3 + 6*b^4*c^3*d*f^3*m^2 + b^4*c^3*d*f^3*m^3 - 42*a*b^3*c^2*d^2*f^3*m + 57*a^2*b^2*c*d^3*f^3*m + 21*a^2*b^2*d^4*e*f^2*m + 9*b^4*c^2*d^2*e*f^2*m - 21*a*b^3*c^2*d^2*f^3*m^2 + 24*a^2*b^2*c*d^3*f^3*m^2 - 3*a*b^3*c^2*d^2*f^3*m^3 + 3*a^2*b^2*c*d^3*f^3*m^3 + 3*a^2*b^2*d^4*e*f^2*m^2 + 3*b^4*c^2*d^2*e*f^2*m^2 - 24*a*b^3*c*d^3*e*f^2 - 6*a*b^3*d^4*e^2*f*m + 6*b^4*c*d^3*e^2*f*m - 30*a*b^3*c*d^3*e*f^2*m - 6*a*b^3*c*d^3*e*f^2*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x^2*(a + b*x)^m*(24*a^4*d^4*e^2*f - 60*b^4*c^3*d*e^3 - 36*b^4*c^4*e^2*f + 60*a^4*c^2*d^2*f^3 + 3*a^2*b^2*c^4*f^3*m^2 + 3*a^4*c^2*d^2*f^3*m^2 + 60*a^4*c*d^3*e*f^2 + 2*a^3*b*d^4*e^3*m - 47*b^4*c^3*d*e^3*m + 42*a^4*d^4*e^2*f*m - 57*b^4*c^4*e^2*f*m + 3*a^2*b^2*c^4*f^3*m + 3*a^3*b*d^4*e^3*m^2 + a^3*b*d^4*e^3*m^3 + 27*a^4*c^2*d^2*f^3*m - 12*b^4*c^3*d*e^3*m^2 - b^4*c^3*d*e^3*m^3 + 21*a^4*d^4*e^2*f*m^2 - 24*b^4*c^4*e^2*f*m^2 + 3*a^4*d^4*e^2*f*m^3 - 3*b^4*c^4*e^2*f*m^3 - 240*a^3*b*c^2*d^2*e*f^2 + 60*a*b^3*c^2*d^2*e^3*m - 15*a^2*b^2*c*d^3*e^3*m - 6*a^3*b*c^3*d*f^3*m^2 - 15*a*b^3*c^4*e*f^2*m^2 - 3*a*b^3*c^4*e*f^2*m^3 + 30*a^4*c*d^3*e*f^2*m^2 + 3*a^4*c*d^3*e*f^2*m^3 + 144*a^2*b^2*c^2*d^2*e^2*f + 27*a*b^3*c^2*d^2*e^3*m^2 - 18*a^2*b^2*c*d^3*e^3*m^2 + 3*a*b^3*c^2*d^2*e^3*m^3 - 3*a^2*b^2*c*d^3*e^3*m^3 + 144*a*b^3*c^3*d*e^2*f - 96*a^3*b*c*d^3*e^2*f - 30*a^3*b*c^3*d*f^3*m - 12*a*b^3*c^4*e*f^2*m + 87*a^4*c*d^3*e*f^2*m + 108*a*b^3*c^3*d*e^2*f*m - 138*a^3*b*c*d^3*e^2*f*m + 9*a^2*b^2*c^2*d^2*e^2*f*m^2 + 123*a^2*b^2*c^3*d*e*f^2*m - 198*a^3*b*c^2*d^2*e*f^2*m + 42*a*b^3*c^3*d*e^2*f*m^2 - 48*a^3*b*c*d^3*e^2*f*m^2 + 6*a*b^3*c^3*d*e^2*f*m^3 - 6*a^3*b*c*d^3*e^2*f*m^3 + 45*a^2*b^2*c^2*d^2*e^2*f*m + 60*a^2*b^2*c^3*d*e*f^2*m^2 - 75*a^3*b*c^2*d^2*e*f^2*m^2 + 9*a^2*b^2*c^3*d*e*f^2*m^3 - 9*a^3*b*c^2*d^2*e*f^2*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
3107,1,2932,494,5.790843,"\text{Not used}","int(((e + f*x)^2*(a + b*x)^m)/(c + d*x)^(m + 5),x)","\frac{x^3\,{\left(a+b\,x\right)}^m\,\left(-a^4\,d^4\,f^2\,m^3-8\,a^4\,d^4\,f^2\,m^2-19\,a^4\,d^4\,f^2\,m-12\,a^4\,d^4\,f^2+2\,a^3\,b\,c\,d^3\,f^2\,m^3+14\,a^3\,b\,c\,d^3\,f^2\,m^2+36\,a^3\,b\,c\,d^3\,f^2\,m+48\,a^3\,b\,c\,d^3\,f^2-2\,a^3\,b\,d^4\,e\,f\,m^3-10\,a^3\,b\,d^4\,e\,f\,m^2-8\,a^3\,b\,d^4\,e\,f\,m+3\,a^2\,b^2\,c^2\,d^2\,f^2\,m^2+15\,a^2\,b^2\,c^2\,d^2\,f^2\,m+48\,a^2\,b^2\,c^2\,d^2\,f^2+6\,a^2\,b^2\,c\,d^3\,e\,f\,m^3+40\,a^2\,b^2\,c\,d^3\,e\,f\,m^2+82\,a^2\,b^2\,c\,d^3\,e\,f\,m+3\,a^2\,b^2\,d^4\,e^2\,m^2+3\,a^2\,b^2\,d^4\,e^2\,m-2\,a\,b^3\,c^3\,d\,f^2\,m^3-16\,a\,b^3\,c^3\,d\,f^2\,m^2-46\,a\,b^3\,c^3\,d\,f^2\,m-32\,a\,b^3\,c^3\,d\,f^2-6\,a\,b^3\,c^2\,d^2\,e\,f\,m^3-50\,a\,b^3\,c^2\,d^2\,e\,f\,m^2-132\,a\,b^3\,c^2\,d^2\,e\,f\,m-160\,a\,b^3\,c^2\,d^2\,e\,f-6\,a\,b^3\,c\,d^3\,e^2\,m^2-30\,a\,b^3\,c\,d^3\,e^2\,m+b^4\,c^4\,f^2\,m^3+7\,b^4\,c^4\,f^2\,m^2+14\,b^4\,c^4\,f^2\,m+8\,b^4\,c^4\,f^2+2\,b^4\,c^3\,d\,e\,f\,m^3+20\,b^4\,c^3\,d\,e\,f\,m^2+58\,b^4\,c^3\,d\,e\,f\,m+40\,b^4\,c^3\,d\,e\,f+3\,b^4\,c^2\,d^2\,e^2\,m^2+27\,b^4\,c^2\,d^2\,e^2\,m+60\,b^4\,c^2\,d^2\,e^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{{\left(a+b\,x\right)}^m\,\left(2\,a^4\,c^3\,d\,f^2\,m+2\,a^4\,c^3\,d\,f^2+2\,a^4\,c^2\,d^2\,e\,f\,m^2+6\,a^4\,c^2\,d^2\,e\,f\,m+4\,a^4\,c^2\,d^2\,e\,f+a^4\,c\,d^3\,e^2\,m^3+6\,a^4\,c\,d^3\,e^2\,m^2+11\,a^4\,c\,d^3\,e^2\,m+6\,a^4\,c\,d^3\,e^2-2\,a^3\,b\,c^4\,f^2\,m-8\,a^3\,b\,c^4\,f^2-4\,a^3\,b\,c^3\,d\,e\,f\,m^2-20\,a^3\,b\,c^3\,d\,e\,f\,m-16\,a^3\,b\,c^3\,d\,e\,f-3\,a^3\,b\,c^2\,d^2\,e^2\,m^3-21\,a^3\,b\,c^2\,d^2\,e^2\,m^2-42\,a^3\,b\,c^2\,d^2\,e^2\,m-24\,a^3\,b\,c^2\,d^2\,e^2+2\,a^2\,b^2\,c^4\,e\,f\,m^2+14\,a^2\,b^2\,c^4\,e\,f\,m+24\,a^2\,b^2\,c^4\,e\,f+3\,a^2\,b^2\,c^3\,d\,e^2\,m^3+24\,a^2\,b^2\,c^3\,d\,e^2\,m^2+57\,a^2\,b^2\,c^3\,d\,e^2\,m+36\,a^2\,b^2\,c^3\,d\,e^2-a\,b^3\,c^4\,e^2\,m^3-9\,a\,b^3\,c^4\,e^2\,m^2-26\,a\,b^3\,c^4\,e^2\,m-24\,a\,b^3\,c^4\,e^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(a^4\,c\,d^3\,f^2\,m^3+10\,a^4\,c\,d^3\,f^2\,m^2+29\,a^4\,c\,d^3\,f^2\,m+20\,a^4\,c\,d^3\,f^2+2\,a^4\,d^4\,e\,f\,m^3+14\,a^4\,d^4\,e\,f\,m^2+28\,a^4\,d^4\,e\,f\,m+16\,a^4\,d^4\,e\,f-3\,a^3\,b\,c^2\,d^2\,f^2\,m^3-25\,a^3\,b\,c^2\,d^2\,f^2\,m^2-66\,a^3\,b\,c^2\,d^2\,f^2\,m-80\,a^3\,b\,c^2\,d^2\,f^2-4\,a^3\,b\,c\,d^3\,e\,f\,m^3-32\,a^3\,b\,c\,d^3\,e\,f\,m^2-92\,a^3\,b\,c\,d^3\,e\,f\,m-64\,a^3\,b\,c\,d^3\,e\,f+a^3\,b\,d^4\,e^2\,m^3+3\,a^3\,b\,d^4\,e^2\,m^2+2\,a^3\,b\,d^4\,e^2\,m+3\,a^2\,b^2\,c^3\,d\,f^2\,m^3+20\,a^2\,b^2\,c^3\,d\,f^2\,m^2+41\,a^2\,b^2\,c^3\,d\,f^2\,m+6\,a^2\,b^2\,c^2\,d^2\,e\,f\,m^2+30\,a^2\,b^2\,c^2\,d^2\,e\,f\,m+96\,a^2\,b^2\,c^2\,d^2\,e\,f-3\,a^2\,b^2\,c\,d^3\,e^2\,m^3-18\,a^2\,b^2\,c\,d^3\,e^2\,m^2-15\,a^2\,b^2\,c\,d^3\,e^2\,m-a\,b^3\,c^4\,f^2\,m^3-5\,a\,b^3\,c^4\,f^2\,m^2-4\,a\,b^3\,c^4\,f^2\,m+4\,a\,b^3\,c^3\,d\,e\,f\,m^3+28\,a\,b^3\,c^3\,d\,e\,f\,m^2+72\,a\,b^3\,c^3\,d\,e\,f\,m+96\,a\,b^3\,c^3\,d\,e\,f+3\,a\,b^3\,c^2\,d^2\,e^2\,m^3+27\,a\,b^3\,c^2\,d^2\,e^2\,m^2+60\,a\,b^3\,c^2\,d^2\,e^2\,m-2\,b^4\,c^4\,e\,f\,m^3-16\,b^4\,c^4\,e\,f\,m^2-38\,b^4\,c^4\,e\,f\,m-24\,b^4\,c^4\,e\,f-b^4\,c^3\,d\,e^2\,m^3-12\,b^4\,c^3\,d\,e^2\,m^2-47\,b^4\,c^3\,d\,e^2\,m-60\,b^4\,c^3\,d\,e^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(2\,a^4\,c^2\,d^2\,f^2\,m^2+12\,a^4\,c^2\,d^2\,f^2\,m+10\,a^4\,c^2\,d^2\,f^2+2\,a^4\,c\,d^3\,e\,f\,m^3+16\,a^4\,c\,d^3\,e\,f\,m^2+34\,a^4\,c\,d^3\,e\,f\,m+20\,a^4\,c\,d^3\,e\,f+a^4\,d^4\,e^2\,m^3+6\,a^4\,d^4\,e^2\,m^2+11\,a^4\,d^4\,e^2\,m+6\,a^4\,d^4\,e^2-4\,a^3\,b\,c^3\,d\,f^2\,m^2-20\,a^3\,b\,c^3\,d\,f^2\,m-40\,a^3\,b\,c^3\,d\,f^2-6\,a^3\,b\,c^2\,d^2\,e\,f\,m^3-46\,a^3\,b\,c^2\,d^2\,e\,f\,m^2-120\,a^3\,b\,c^2\,d^2\,e\,f\,m-80\,a^3\,b\,c^2\,d^2\,e\,f-2\,a^3\,b\,c\,d^3\,e^2\,m^3-18\,a^3\,b\,c\,d^3\,e^2\,m^2-40\,a^3\,b\,c\,d^3\,e^2\,m-24\,a^3\,b\,c\,d^3\,e^2+2\,a^2\,b^2\,c^4\,f^2\,m^2+8\,a^2\,b^2\,c^4\,f^2\,m+6\,a^2\,b^2\,c^3\,d\,e\,f\,m^3+44\,a^2\,b^2\,c^3\,d\,e\,f\,m^2+110\,a^2\,b^2\,c^3\,d\,e\,f\,m+120\,a^2\,b^2\,c^3\,d\,e\,f+9\,a^2\,b^2\,c^2\,d^2\,e^2\,m^2+45\,a^2\,b^2\,c^2\,d^2\,e^2\,m+36\,a^2\,b^2\,c^2\,d^2\,e^2-2\,a\,b^3\,c^4\,e\,f\,m^3-14\,a\,b^3\,c^4\,e\,f\,m^2-24\,a\,b^3\,c^4\,e\,f\,m+2\,a\,b^3\,c^3\,d\,e^2\,m^3+12\,a\,b^3\,c^3\,d\,e^2\,m^2+10\,a\,b^3\,c^3\,d\,e^2\,m-24\,a\,b^3\,c^3\,d\,e^2-b^4\,c^4\,e^2\,m^3-9\,b^4\,c^4\,e^2\,m^2-26\,b^4\,c^4\,e^2\,m-24\,b^4\,c^4\,e^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b^2\,d^2\,x^5\,{\left(a+b\,x\right)}^m\,\left(a^2\,d^2\,f^2\,m^2+7\,a^2\,d^2\,f^2\,m+12\,a^2\,d^2\,f^2-2\,a\,b\,c\,d\,f^2\,m^2-10\,a\,b\,c\,d\,f^2\,m-8\,a\,b\,c\,d\,f^2-4\,a\,b\,d^2\,e\,f\,m-16\,a\,b\,d^2\,e\,f+b^2\,c^2\,f^2\,m^2+3\,b^2\,c^2\,f^2\,m+2\,b^2\,c^2\,f^2+4\,b^2\,c\,d\,e\,f\,m+4\,b^2\,c\,d\,e\,f+6\,b^2\,d^2\,e^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b\,d\,x^4\,{\left(a+b\,x\right)}^m\,\left(5\,b\,c-a\,d\,m+b\,c\,m\right)\,\left(a^2\,d^2\,f^2\,m^2+7\,a^2\,d^2\,f^2\,m+12\,a^2\,d^2\,f^2-2\,a\,b\,c\,d\,f^2\,m^2-10\,a\,b\,c\,d\,f^2\,m-8\,a\,b\,c\,d\,f^2-4\,a\,b\,d^2\,e\,f\,m-16\,a\,b\,d^2\,e\,f+b^2\,c^2\,f^2\,m^2+3\,b^2\,c^2\,f^2\,m+2\,b^2\,c^2\,f^2+4\,b^2\,c\,d\,e\,f\,m+4\,b^2\,c\,d\,e\,f+6\,b^2\,d^2\,e^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(x^3*(a + b*x)^m*(8*b^4*c^4*f^2 - 12*a^4*d^4*f^2 - 19*a^4*d^4*f^2*m + 14*b^4*c^4*f^2*m + 60*b^4*c^2*d^2*e^2 - 8*a^4*d^4*f^2*m^2 + 7*b^4*c^4*f^2*m^2 - a^4*d^4*f^2*m^3 + b^4*c^4*f^2*m^3 + 40*b^4*c^3*d*e*f + 48*a^2*b^2*c^2*d^2*f^2 + 3*a^2*b^2*d^4*e^2*m^2 + 3*b^4*c^2*d^2*e^2*m^2 - 32*a*b^3*c^3*d*f^2 + 48*a^3*b*c*d^3*f^2 + 3*a^2*b^2*d^4*e^2*m + 27*b^4*c^2*d^2*e^2*m - 6*a*b^3*c*d^3*e^2*m^2 - 16*a*b^3*c^3*d*f^2*m^2 + 14*a^3*b*c*d^3*f^2*m^2 - 2*a*b^3*c^3*d*f^2*m^3 + 2*a^3*b*c*d^3*f^2*m^3 - 8*a^3*b*d^4*e*f*m + 58*b^4*c^3*d*e*f*m + 15*a^2*b^2*c^2*d^2*f^2*m - 160*a*b^3*c^2*d^2*e*f - 30*a*b^3*c*d^3*e^2*m - 46*a*b^3*c^3*d*f^2*m + 36*a^3*b*c*d^3*f^2*m - 10*a^3*b*d^4*e*f*m^2 - 2*a^3*b*d^4*e*f*m^3 + 20*b^4*c^3*d*e*f*m^2 + 2*b^4*c^3*d*e*f*m^3 + 3*a^2*b^2*c^2*d^2*f^2*m^2 - 132*a*b^3*c^2*d^2*e*f*m + 82*a^2*b^2*c*d^3*e*f*m - 50*a*b^3*c^2*d^2*e*f*m^2 + 40*a^2*b^2*c*d^3*e*f*m^2 - 6*a*b^3*c^2*d^2*e*f*m^3 + 6*a^2*b^2*c*d^3*e*f*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - ((a + b*x)^m*(6*a^4*c*d^3*e^2 - 8*a^3*b*c^4*f^2 - 24*a*b^3*c^4*e^2 + 2*a^4*c^3*d*f^2 + 24*a^2*b^2*c^4*e*f + 4*a^4*c^2*d^2*e*f - 26*a*b^3*c^4*e^2*m - 2*a^3*b*c^4*f^2*m + 11*a^4*c*d^3*e^2*m + 2*a^4*c^3*d*f^2*m + 36*a^2*b^2*c^3*d*e^2 - 24*a^3*b*c^2*d^2*e^2 - 9*a*b^3*c^4*e^2*m^2 - a*b^3*c^4*e^2*m^3 + 6*a^4*c*d^3*e^2*m^2 + a^4*c*d^3*e^2*m^3 + 57*a^2*b^2*c^3*d*e^2*m - 42*a^3*b*c^2*d^2*e^2*m + 2*a^2*b^2*c^4*e*f*m^2 + 2*a^4*c^2*d^2*e*f*m^2 - 16*a^3*b*c^3*d*e*f + 24*a^2*b^2*c^3*d*e^2*m^2 - 21*a^3*b*c^2*d^2*e^2*m^2 + 3*a^2*b^2*c^3*d*e^2*m^3 - 3*a^3*b*c^2*d^2*e^2*m^3 + 14*a^2*b^2*c^4*e*f*m + 6*a^4*c^2*d^2*e*f*m - 4*a^3*b*c^3*d*e*f*m^2 - 20*a^3*b*c^3*d*e*f*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x^2*(a + b*x)^m*(20*a^4*c*d^3*f^2 - 60*b^4*c^3*d*e^2 + 16*a^4*d^4*e*f - 24*b^4*c^4*e*f + 28*a^4*d^4*e*f*m - 38*b^4*c^4*e*f*m - 4*a*b^3*c^4*f^2*m + 2*a^3*b*d^4*e^2*m + 29*a^4*c*d^3*f^2*m - 47*b^4*c^3*d*e^2*m + 14*a^4*d^4*e*f*m^2 - 16*b^4*c^4*e*f*m^2 + 2*a^4*d^4*e*f*m^3 - 2*b^4*c^4*e*f*m^3 - 80*a^3*b*c^2*d^2*f^2 - 5*a*b^3*c^4*f^2*m^2 + 3*a^3*b*d^4*e^2*m^2 - a*b^3*c^4*f^2*m^3 + a^3*b*d^4*e^2*m^3 + 10*a^4*c*d^3*f^2*m^2 - 12*b^4*c^3*d*e^2*m^2 + a^4*c*d^3*f^2*m^3 - b^4*c^3*d*e^2*m^3 + 96*a^2*b^2*c^2*d^2*e*f + 60*a*b^3*c^2*d^2*e^2*m - 15*a^2*b^2*c*d^3*e^2*m + 41*a^2*b^2*c^3*d*f^2*m - 66*a^3*b*c^2*d^2*f^2*m + 96*a*b^3*c^3*d*e*f - 64*a^3*b*c*d^3*e*f + 27*a*b^3*c^2*d^2*e^2*m^2 - 18*a^2*b^2*c*d^3*e^2*m^2 + 3*a*b^3*c^2*d^2*e^2*m^3 - 3*a^2*b^2*c*d^3*e^2*m^3 + 20*a^2*b^2*c^3*d*f^2*m^2 - 25*a^3*b*c^2*d^2*f^2*m^2 + 3*a^2*b^2*c^3*d*f^2*m^3 - 3*a^3*b*c^2*d^2*f^2*m^3 + 28*a*b^3*c^3*d*e*f*m^2 - 32*a^3*b*c*d^3*e*f*m^2 + 4*a*b^3*c^3*d*e*f*m^3 - 4*a^3*b*c*d^3*e*f*m^3 + 30*a^2*b^2*c^2*d^2*e*f*m + 72*a*b^3*c^3*d*e*f*m - 92*a^3*b*c*d^3*e*f*m + 6*a^2*b^2*c^2*d^2*e*f*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x*(a + b*x)^m*(6*a^4*d^4*e^2 - 24*b^4*c^4*e^2 + 11*a^4*d^4*e^2*m - 26*b^4*c^4*e^2*m + 10*a^4*c^2*d^2*f^2 + 6*a^4*d^4*e^2*m^2 - 9*b^4*c^4*e^2*m^2 + a^4*d^4*e^2*m^3 - b^4*c^4*e^2*m^3 + 20*a^4*c*d^3*e*f + 36*a^2*b^2*c^2*d^2*e^2 + 2*a^2*b^2*c^4*f^2*m^2 + 2*a^4*c^2*d^2*f^2*m^2 - 24*a*b^3*c^3*d*e^2 - 24*a^3*b*c*d^3*e^2 - 40*a^3*b*c^3*d*f^2 + 8*a^2*b^2*c^4*f^2*m + 12*a^4*c^2*d^2*f^2*m + 12*a*b^3*c^3*d*e^2*m^2 - 18*a^3*b*c*d^3*e^2*m^2 + 2*a*b^3*c^3*d*e^2*m^3 - 2*a^3*b*c*d^3*e^2*m^3 - 4*a^3*b*c^3*d*f^2*m^2 - 24*a*b^3*c^4*e*f*m + 34*a^4*c*d^3*e*f*m + 45*a^2*b^2*c^2*d^2*e^2*m + 120*a^2*b^2*c^3*d*e*f - 80*a^3*b*c^2*d^2*e*f + 10*a*b^3*c^3*d*e^2*m - 40*a^3*b*c*d^3*e^2*m - 20*a^3*b*c^3*d*f^2*m - 14*a*b^3*c^4*e*f*m^2 - 2*a*b^3*c^4*e*f*m^3 + 16*a^4*c*d^3*e*f*m^2 + 2*a^4*c*d^3*e*f*m^3 + 9*a^2*b^2*c^2*d^2*e^2*m^2 + 110*a^2*b^2*c^3*d*e*f*m - 120*a^3*b*c^2*d^2*e*f*m + 44*a^2*b^2*c^3*d*e*f*m^2 - 46*a^3*b*c^2*d^2*e*f*m^2 + 6*a^2*b^2*c^3*d*e*f*m^3 - 6*a^3*b*c^2*d^2*e*f*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b^2*d^2*x^5*(a + b*x)^m*(12*a^2*d^2*f^2 + 2*b^2*c^2*f^2 + 6*b^2*d^2*e^2 + 7*a^2*d^2*f^2*m + 3*b^2*c^2*f^2*m + a^2*d^2*f^2*m^2 + b^2*c^2*f^2*m^2 - 8*a*b*c*d*f^2 - 16*a*b*d^2*e*f + 4*b^2*c*d*e*f - 10*a*b*c*d*f^2*m - 4*a*b*d^2*e*f*m + 4*b^2*c*d*e*f*m - 2*a*b*c*d*f^2*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b*d*x^4*(a + b*x)^m*(5*b*c - a*d*m + b*c*m)*(12*a^2*d^2*f^2 + 2*b^2*c^2*f^2 + 6*b^2*d^2*e^2 + 7*a^2*d^2*f^2*m + 3*b^2*c^2*f^2*m + a^2*d^2*f^2*m^2 + b^2*c^2*f^2*m^2 - 8*a*b*c*d*f^2 - 16*a*b*d^2*e*f + 4*b^2*c*d*e*f - 10*a*b*c*d*f^2*m - 4*a*b*d^2*e*f*m + 4*b^2*c*d*e*f*m - 2*a*b*c*d*f^2*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
3108,1,1658,268,4.542613,"\text{Not used}","int(((e + f*x)*(a + b*x)^m)/(c + d*x)^(m + 5),x)","\frac{2\,b^3\,d^3\,x^5\,{\left(a+b\,x\right)}^m\,\left(b\,c\,f-4\,a\,d\,f+3\,b\,d\,e-a\,d\,f\,m+b\,c\,f\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x^2\,{\left(a+b\,x\right)}^m\,\left(f\,a^4\,d^4\,m^3+7\,f\,a^4\,d^4\,m^2+14\,f\,a^4\,d^4\,m+8\,f\,a^4\,d^4-2\,f\,a^3\,b\,c\,d^3\,m^3-16\,f\,a^3\,b\,c\,d^3\,m^2-46\,f\,a^3\,b\,c\,d^3\,m-32\,f\,a^3\,b\,c\,d^3+e\,a^3\,b\,d^4\,m^3+3\,e\,a^3\,b\,d^4\,m^2+2\,e\,a^3\,b\,d^4\,m+3\,f\,a^2\,b^2\,c^2\,d^2\,m^2+15\,f\,a^2\,b^2\,c^2\,d^2\,m+48\,f\,a^2\,b^2\,c^2\,d^2-3\,e\,a^2\,b^2\,c\,d^3\,m^3-18\,e\,a^2\,b^2\,c\,d^3\,m^2-15\,e\,a^2\,b^2\,c\,d^3\,m+2\,f\,a\,b^3\,c^3\,d\,m^3+14\,f\,a\,b^3\,c^3\,d\,m^2+36\,f\,a\,b^3\,c^3\,d\,m+48\,f\,a\,b^3\,c^3\,d+3\,e\,a\,b^3\,c^2\,d^2\,m^3+27\,e\,a\,b^3\,c^2\,d^2\,m^2+60\,e\,a\,b^3\,c^2\,d^2\,m-f\,b^4\,c^4\,m^3-8\,f\,b^4\,c^4\,m^2-19\,f\,b^4\,c^4\,m-12\,f\,b^4\,c^4-e\,b^4\,c^3\,d\,m^3-12\,e\,b^4\,c^3\,d\,m^2-47\,e\,b^4\,c^3\,d\,m-60\,e\,b^4\,c^3\,d\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(f\,a^4\,c\,d^3\,m^3+8\,f\,a^4\,c\,d^3\,m^2+17\,f\,a^4\,c\,d^3\,m+10\,f\,a^4\,c\,d^3+e\,a^4\,d^4\,m^3+6\,e\,a^4\,d^4\,m^2+11\,e\,a^4\,d^4\,m+6\,e\,a^4\,d^4-3\,f\,a^3\,b\,c^2\,d^2\,m^3-23\,f\,a^3\,b\,c^2\,d^2\,m^2-60\,f\,a^3\,b\,c^2\,d^2\,m-40\,f\,a^3\,b\,c^2\,d^2-2\,e\,a^3\,b\,c\,d^3\,m^3-18\,e\,a^3\,b\,c\,d^3\,m^2-40\,e\,a^3\,b\,c\,d^3\,m-24\,e\,a^3\,b\,c\,d^3+3\,f\,a^2\,b^2\,c^3\,d\,m^3+22\,f\,a^2\,b^2\,c^3\,d\,m^2+55\,f\,a^2\,b^2\,c^3\,d\,m+60\,f\,a^2\,b^2\,c^3\,d+9\,e\,a^2\,b^2\,c^2\,d^2\,m^2+45\,e\,a^2\,b^2\,c^2\,d^2\,m+36\,e\,a^2\,b^2\,c^2\,d^2-f\,a\,b^3\,c^4\,m^3-7\,f\,a\,b^3\,c^4\,m^2-12\,f\,a\,b^3\,c^4\,m+2\,e\,a\,b^3\,c^3\,d\,m^3+12\,e\,a\,b^3\,c^3\,d\,m^2+10\,e\,a\,b^3\,c^3\,d\,m-24\,e\,a\,b^3\,c^3\,d-e\,b^4\,c^4\,m^3-9\,e\,b^4\,c^4\,m^2-26\,e\,b^4\,c^4\,m-24\,e\,b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{{\left(a+b\,x\right)}^m\,\left(f\,a^4\,c^2\,d^2\,m^2+3\,f\,a^4\,c^2\,d^2\,m+2\,f\,a^4\,c^2\,d^2+e\,a^4\,c\,d^3\,m^3+6\,e\,a^4\,c\,d^3\,m^2+11\,e\,a^4\,c\,d^3\,m+6\,e\,a^4\,c\,d^3-2\,f\,a^3\,b\,c^3\,d\,m^2-10\,f\,a^3\,b\,c^3\,d\,m-8\,f\,a^3\,b\,c^3\,d-3\,e\,a^3\,b\,c^2\,d^2\,m^3-21\,e\,a^3\,b\,c^2\,d^2\,m^2-42\,e\,a^3\,b\,c^2\,d^2\,m-24\,e\,a^3\,b\,c^2\,d^2+f\,a^2\,b^2\,c^4\,m^2+7\,f\,a^2\,b^2\,c^4\,m+12\,f\,a^2\,b^2\,c^4+3\,e\,a^2\,b^2\,c^3\,d\,m^3+24\,e\,a^2\,b^2\,c^3\,d\,m^2+57\,e\,a^2\,b^2\,c^3\,d\,m+36\,e\,a^2\,b^2\,c^3\,d-e\,a\,b^3\,c^4\,m^3-9\,e\,a\,b^3\,c^4\,m^2-26\,e\,a\,b^3\,c^4\,m-24\,e\,a\,b^3\,c^4\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b\,d\,x^3\,{\left(a+b\,x\right)}^m\,\left(b\,c\,f-4\,a\,d\,f+3\,b\,d\,e-a\,d\,f\,m+b\,c\,f\,m\right)\,\left(a^2\,d^2\,m^2+a^2\,d^2\,m-2\,a\,b\,c\,d\,m^2-10\,a\,b\,c\,d\,m+b^2\,c^2\,m^2+9\,b^2\,c^2\,m+20\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{2\,b^2\,d^2\,x^4\,{\left(a+b\,x\right)}^m\,\left(5\,b\,c-a\,d\,m+b\,c\,m\right)\,\left(b\,c\,f-4\,a\,d\,f+3\,b\,d\,e-a\,d\,f\,m+b\,c\,f\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(2*b^3*d^3*x^5*(a + b*x)^m*(b*c*f - 4*a*d*f + 3*b*d*e - a*d*f*m + b*c*f*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x^2*(a + b*x)^m*(8*a^4*d^4*f - 12*b^4*c^4*f + 7*a^4*d^4*f*m^2 - 8*b^4*c^4*f*m^2 + a^4*d^4*f*m^3 - b^4*c^4*f*m^3 - 60*b^4*c^3*d*e + 14*a^4*d^4*f*m - 19*b^4*c^4*f*m + 48*a*b^3*c^3*d*f - 32*a^3*b*c*d^3*f + 2*a^3*b*d^4*e*m - 47*b^4*c^3*d*e*m + 3*a^3*b*d^4*e*m^2 + a^3*b*d^4*e*m^3 - 12*b^4*c^3*d*e*m^2 - b^4*c^3*d*e*m^3 + 48*a^2*b^2*c^2*d^2*f + 27*a*b^3*c^2*d^2*e*m^2 - 18*a^2*b^2*c*d^3*e*m^2 + 3*a*b^3*c^2*d^2*e*m^3 - 3*a^2*b^2*c*d^3*e*m^3 + 15*a^2*b^2*c^2*d^2*f*m + 36*a*b^3*c^3*d*f*m - 46*a^3*b*c*d^3*f*m + 3*a^2*b^2*c^2*d^2*f*m^2 + 60*a*b^3*c^2*d^2*e*m - 15*a^2*b^2*c*d^3*e*m + 14*a*b^3*c^3*d*f*m^2 - 16*a^3*b*c*d^3*f*m^2 + 2*a*b^3*c^3*d*f*m^3 - 2*a^3*b*c*d^3*f*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x*(a + b*x)^m*(6*a^4*d^4*e - 24*b^4*c^4*e + 6*a^4*d^4*e*m^2 - 9*b^4*c^4*e*m^2 + a^4*d^4*e*m^3 - b^4*c^4*e*m^3 + 10*a^4*c*d^3*f + 11*a^4*d^4*e*m - 26*b^4*c^4*e*m - 24*a*b^3*c^3*d*e - 24*a^3*b*c*d^3*e - 12*a*b^3*c^4*f*m + 17*a^4*c*d^3*f*m + 60*a^2*b^2*c^3*d*f - 40*a^3*b*c^2*d^2*f - 7*a*b^3*c^4*f*m^2 - a*b^3*c^4*f*m^3 + 8*a^4*c*d^3*f*m^2 + a^4*c*d^3*f*m^3 + 36*a^2*b^2*c^2*d^2*e + 45*a^2*b^2*c^2*d^2*e*m + 22*a^2*b^2*c^3*d*f*m^2 - 23*a^3*b*c^2*d^2*f*m^2 + 3*a^2*b^2*c^3*d*f*m^3 - 3*a^3*b*c^2*d^2*f*m^3 + 10*a*b^3*c^3*d*e*m - 40*a^3*b*c*d^3*e*m + 9*a^2*b^2*c^2*d^2*e*m^2 + 12*a*b^3*c^3*d*e*m^2 - 18*a^3*b*c*d^3*e*m^2 + 2*a*b^3*c^3*d*e*m^3 - 2*a^3*b*c*d^3*e*m^3 + 55*a^2*b^2*c^3*d*f*m - 60*a^3*b*c^2*d^2*f*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - ((a + b*x)^m*(12*a^2*b^2*c^4*f + 2*a^4*c^2*d^2*f - 24*a*b^3*c^4*e + 6*a^4*c*d^3*e - 8*a^3*b*c^3*d*f - 26*a*b^3*c^4*e*m + 11*a^4*c*d^3*e*m + 36*a^2*b^2*c^3*d*e - 24*a^3*b*c^2*d^2*e - 9*a*b^3*c^4*e*m^2 - a*b^3*c^4*e*m^3 + 7*a^2*b^2*c^4*f*m + 6*a^4*c*d^3*e*m^2 + a^4*c*d^3*e*m^3 + 3*a^4*c^2*d^2*f*m + a^2*b^2*c^4*f*m^2 + a^4*c^2*d^2*f*m^2 + 24*a^2*b^2*c^3*d*e*m^2 - 21*a^3*b*c^2*d^2*e*m^2 + 3*a^2*b^2*c^3*d*e*m^3 - 3*a^3*b*c^2*d^2*e*m^3 - 10*a^3*b*c^3*d*f*m + 57*a^2*b^2*c^3*d*e*m - 42*a^3*b*c^2*d^2*e*m - 2*a^3*b*c^3*d*f*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b*d*x^3*(a + b*x)^m*(b*c*f - 4*a*d*f + 3*b*d*e - a*d*f*m + b*c*f*m)*(20*b^2*c^2 + a^2*d^2*m + 9*b^2*c^2*m + a^2*d^2*m^2 + b^2*c^2*m^2 - 10*a*b*c*d*m - 2*a*b*c*d*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (2*b^2*d^2*x^4*(a + b*x)^m*(5*b*c - a*d*m + b*c*m)*(b*c*f - 4*a*d*f + 3*b*d*e - a*d*f*m + b*c*f*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
3109,1,945,185,3.543690,"\text{Not used}","int((a + b*x)^m/(c + d*x)^(m + 5),x)","\frac{6\,b^4\,d^4\,x^5\,{\left(a+b\,x\right)}^m}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{x\,{\left(a+b\,x\right)}^m\,\left(a^4\,d^4\,m^3+6\,a^4\,d^4\,m^2+11\,a^4\,d^4\,m+6\,a^4\,d^4-2\,a^3\,b\,c\,d^3\,m^3-18\,a^3\,b\,c\,d^3\,m^2-40\,a^3\,b\,c\,d^3\,m-24\,a^3\,b\,c\,d^3+9\,a^2\,b^2\,c^2\,d^2\,m^2+45\,a^2\,b^2\,c^2\,d^2\,m+36\,a^2\,b^2\,c^2\,d^2+2\,a\,b^3\,c^3\,d\,m^3+12\,a\,b^3\,c^3\,d\,m^2+10\,a\,b^3\,c^3\,d\,m-24\,a\,b^3\,c^3\,d-b^4\,c^4\,m^3-9\,b^4\,c^4\,m^2-26\,b^4\,c^4\,m-24\,b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^m\,\left(a^3\,d^3\,m^3+6\,a^3\,d^3\,m^2+11\,a^3\,d^3\,m+6\,a^3\,d^3-3\,a^2\,b\,c\,d^2\,m^3-21\,a^2\,b\,c\,d^2\,m^2-42\,a^2\,b\,c\,d^2\,m-24\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d\,m^3+24\,a\,b^2\,c^2\,d\,m^2+57\,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)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{3\,b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^m\,\left(a^2\,d^2\,m^2+a^2\,d^2\,m-2\,a\,b\,c\,d\,m^2-10\,a\,b\,c\,d\,m+b^2\,c^2\,m^2+9\,b^2\,c^2\,m+20\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{6\,b^3\,d^3\,x^4\,{\left(a+b\,x\right)}^m\,\left(5\,b\,c-a\,d\,m+b\,c\,m\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^m\,\left(-a^3\,d^3\,m^3-3\,a^3\,d^3\,m^2-2\,a^3\,d^3\,m+3\,a^2\,b\,c\,d^2\,m^3+18\,a^2\,b\,c\,d^2\,m^2+15\,a^2\,b\,c\,d^2\,m-3\,a\,b^2\,c^2\,d\,m^3-27\,a\,b^2\,c^2\,d\,m^2-60\,a\,b^2\,c^2\,d\,m+b^3\,c^3\,m^3+12\,b^3\,c^3\,m^2+47\,b^3\,c^3\,m+60\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{m+5}\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(6*b^4*d^4*x^5*(a + b*x)^m)/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (x*(a + b*x)^m*(6*a^4*d^4 - 24*b^4*c^4 + 11*a^4*d^4*m - 26*b^4*c^4*m + 6*a^4*d^4*m^2 - 9*b^4*c^4*m^2 + a^4*d^4*m^3 - b^4*c^4*m^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*m - 40*a^3*b*c*d^3*m + 9*a^2*b^2*c^2*d^2*m^2 + 12*a*b^3*c^3*d*m^2 - 18*a^3*b*c*d^3*m^2 + 2*a*b^3*c^3*d*m^3 - 2*a^3*b*c*d^3*m^3 + 45*a^2*b^2*c^2*d^2*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (a*c*(a + b*x)^m*(6*a^3*d^3 - 24*b^3*c^3 + 11*a^3*d^3*m - 26*b^3*c^3*m + 6*a^3*d^3*m^2 - 9*b^3*c^3*m^2 + a^3*d^3*m^3 - b^3*c^3*m^3 + 36*a*b^2*c^2*d - 24*a^2*b*c*d^2 + 57*a*b^2*c^2*d*m - 42*a^2*b*c*d^2*m + 24*a*b^2*c^2*d*m^2 - 21*a^2*b*c*d^2*m^2 + 3*a*b^2*c^2*d*m^3 - 3*a^2*b*c*d^2*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (3*b^2*d^2*x^3*(a + b*x)^m*(20*b^2*c^2 + a^2*d^2*m + 9*b^2*c^2*m + a^2*d^2*m^2 + b^2*c^2*m^2 - 10*a*b*c*d*m - 2*a*b*c*d*m^2))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (6*b^3*d^3*x^4*(a + b*x)^m*(5*b*c - a*d*m + b*c*m))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b*d*x^2*(a + b*x)^m*(60*b^3*c^3 - 2*a^3*d^3*m + 47*b^3*c^3*m - 3*a^3*d^3*m^2 + 12*b^3*c^3*m^2 - a^3*d^3*m^3 + b^3*c^3*m^3 - 60*a*b^2*c^2*d*m + 15*a^2*b*c*d^2*m - 27*a*b^2*c^2*d*m^2 + 18*a^2*b*c*d^2*m^2 - 3*a*b^2*c^2*d*m^3 + 3*a^2*b*c*d^2*m^3))/((a*d - b*c)^4*(c + d*x)^(m + 5)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
3110,0,-1,557,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 5)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\left(e+f\,x\right)\,{\left(c+d\,x\right)}^{m+5}} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)*(c + d*x)^(m + 5)), x)","F"
3111,0,-1,131,0.000000,"\text{Not used}","int((e + f*x)^p*(a + b*x)^m*(c + d*x)^(1 - m),x)","\int {\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m} \,d x","Not used",1,"int((e + f*x)^p*(a + b*x)^m*(c + d*x)^(1 - m), x)","F"
3112,0,-1,445,0.000000,"\text{Not used}","int((e + f*x)^3*(a + b*x)^m*(c + d*x)^(1 - m),x)","\int {\left(e+f\,x\right)}^3\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m} \,d x","Not used",1,"int((e + f*x)^3*(a + b*x)^m*(c + d*x)^(1 - m), x)","F"
3113,0,-1,260,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*x)^m*(c + d*x)^(1 - m),x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m} \,d x","Not used",1,"int((e + f*x)^2*(a + b*x)^m*(c + d*x)^(1 - m), x)","F"
3114,0,-1,145,0.000000,"\text{Not used}","int((e + f*x)*(a + b*x)^m*(c + d*x)^(1 - m),x)","\int \left(e+f\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m} \,d x","Not used",1,"int((e + f*x)*(a + b*x)^m*(c + d*x)^(1 - m), x)","F"
3115,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^m*(c + d*x)^(1 - m),x)","\int {\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m} \,d x","Not used",1,"int((a + b*x)^m*(c + d*x)^(1 - m), x)","F"
3116,0,-1,230,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m}}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x), x)","F"
3117,0,-1,190,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m}}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^2, x)","F"
3118,0,-1,85,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m}}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^3, x)","F"
3119,0,-1,176,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^4,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m}}{{\left(e+f\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^4, x)","F"
3120,0,-1,311,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^5,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m}}{{\left(e+f\,x\right)}^5} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^5, x)","F"
3121,0,-1,542,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^6,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{1-m}}{{\left(e+f\,x\right)}^6} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^6, x)","F"
3122,0,-1,133,0.000000,"\text{Not used}","int((e + f*x)^p*(a + b*x)^m*(c + d*x)^(2 - m),x)","\int {\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m} \,d x","Not used",1,"int((e + f*x)^p*(a + b*x)^m*(c + d*x)^(2 - m), x)","F"
3123,0,-1,447,0.000000,"\text{Not used}","int((e + f*x)^3*(a + b*x)^m*(c + d*x)^(2 - m),x)","\int {\left(e+f\,x\right)}^3\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m} \,d x","Not used",1,"int((e + f*x)^3*(a + b*x)^m*(c + d*x)^(2 - m), x)","F"
3124,0,-1,262,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*x)^m*(c + d*x)^(2 - m),x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m} \,d x","Not used",1,"int((e + f*x)^2*(a + b*x)^m*(c + d*x)^(2 - m), x)","F"
3125,0,-1,147,0.000000,"\text{Not used}","int((e + f*x)*(a + b*x)^m*(c + d*x)^(2 - m),x)","\int \left(e+f\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m} \,d x","Not used",1,"int((e + f*x)*(a + b*x)^m*(c + d*x)^(2 - m), x)","F"
3126,0,-1,84,0.000000,"\text{Not used}","int((a + b*x)^m*(c + d*x)^(2 - m),x)","\int {\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m} \,d x","Not used",1,"int((a + b*x)^m*(c + d*x)^(2 - m), x)","F"
3127,0,-1,370,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x), x)","F"
3128,0,-1,316,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^2, x)","F"
3129,0,-1,362,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^3, x)","F"
3130,0,-1,85,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^4,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(e+f\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^4, x)","F"
3131,0,-1,176,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^5,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(e+f\,x\right)}^5} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^5, x)","F"
3132,0,-1,311,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^6,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(e+f\,x\right)}^6} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^6, x)","F"
3133,0,-1,541,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^7,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(e+f\,x\right)}^7} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^7, x)","F"
3134,0,-1,488,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{3-m}}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x), x)","F"
3135,0,-1,397,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{3-m}}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x)^2, x)","F"
3136,0,-1,453,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{3-m}}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x)^3, x)","F"
3137,0,-1,245,0.000000,"\text{Not used}","int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x),x)","\int \frac{{\left(a+b\,x\right)}^{1-n}\,{\left(c+d\,x\right)}^{n+1}}{a\,d+b\,c+2\,b\,d\,x} \,d x","Not used",1,"int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x), x)","F"
3138,0,-1,154,0.000000,"\text{Not used}","int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^{1-n}\,{\left(c+d\,x\right)}^{n+1}}{{\left(a\,d+b\,c+2\,b\,d\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x)^2, x)","F"
3139,0,-1,230,0.000000,"\text{Not used}","int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^{1-n}\,{\left(c+d\,x\right)}^{n+1}}{{\left(a\,d+b\,c+2\,b\,d\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x)^3, x)","F"
3140,0,-1,71,0.000000,"\text{Not used}","int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x)^4,x)","\int \frac{{\left(a+b\,x\right)}^{1-n}\,{\left(c+d\,x\right)}^{n+1}}{{\left(a\,d+b\,c+2\,b\,d\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)^(1 - n)*(c + d*x)^(n + 1))/(a*d + b*c + 2*b*d*x)^4, x)","F"
3141,0,-1,231,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{a\,d+b\,c+2\,b\,d\,x} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x), x)","F"
3142,0,-1,144,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(a\,d+b\,c+2\,b\,d\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x)^2, x)","F"
3143,0,-1,261,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(a\,d+b\,c+2\,b\,d\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x)^3, x)","F"
3144,0,-1,65,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x)^4,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^{2-m}}{{\left(a\,d+b\,c+2\,b\,d\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^(2 - m))/(a*d + b*c + 2*b*d*x)^4, x)","F"
3145,0,-1,139,0.000000,"\text{Not used}","int(((e + f*x)^(n + p)*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^{n+p}\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^(n + p)*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3146,0,-1,139,0.000000,"\text{Not used}","int(((e + f*x)^(n + 1)*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^{n+1}\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^(n + 1)*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3147,0,-1,129,0.000000,"\text{Not used}","int(((e + f*x)^n*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^n\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^n*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3148,0,-1,138,0.000000,"\text{Not used}","int(((e + f*x)^(n - 1)*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^{n-1}\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^(n - 1)*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3149,0,-1,124,0.000000,"\text{Not used}","int(((e + f*x)^(n - 2)*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^{n-2}\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^(n - 2)*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3150,0,-1,237,0.000000,"\text{Not used}","int(((e + f*x)^(n - 3)*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^{n-3}\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^(n - 3)*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3151,0,-1,428,0.000000,"\text{Not used}","int(((e + f*x)^(n - 4)*(a + b*x)^m)/(c + d*x)^(m + n),x)","\int \frac{{\left(e+f\,x\right)}^{n-4}\,{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^{m+n}} \,d x","Not used",1,"int(((e + f*x)^(n - 4)*(a + b*x)^m)/(c + d*x)^(m + n), x)","F"
3152,1,299,88,9.259641,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(f*x + (a*d*f + b*c*f + a*d*f*m + b*c*f*n)/(b*d*(m + n + 2)))^(m + n + 3),x)","\frac{\frac{x\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n\,\left(a^2\,d^2+b^2\,c^2+a^2\,d^2\,m+b^2\,c^2\,n+4\,a\,b\,c\,d+2\,a\,b\,c\,d\,m+2\,a\,b\,c\,d\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m+1\right)\,\left(n+1\right)}+\frac{a\,c\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n\,\left(a\,d+b\,c+a\,d\,m+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m+1\right)\,\left(n+1\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n\,\left(3\,a\,d+3\,b\,c+2\,a\,d\,m+b\,c\,m+a\,d\,n+2\,b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m+1\right)\,\left(n+1\right)}+\frac{b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n\,\left(m+n+2\right)}{{\left(a\,d-b\,c\right)}^2\,\left(m+1\right)\,\left(n+1\right)}}{{\left(f\,x+\frac{a\,d\,f+b\,c\,f+a\,d\,f\,m+b\,c\,f\,n}{b\,d\,\left(m+n+2\right)}\right)}^{m+n+3}}","Not used",1,"((x*(a + b*x)^m*(c + d*x)^n*(a^2*d^2 + b^2*c^2 + a^2*d^2*m + b^2*c^2*n + 4*a*b*c*d + 2*a*b*c*d*m + 2*a*b*c*d*n))/((a*d - b*c)^2*(m + 1)*(n + 1)) + (a*c*(a + b*x)^m*(c + d*x)^n*(a*d + b*c + a*d*m + b*c*n))/((a*d - b*c)^2*(m + 1)*(n + 1)) + (b*d*x^2*(a + b*x)^m*(c + d*x)^n*(3*a*d + 3*b*c + 2*a*d*m + b*c*m + a*d*n + 2*b*c*n))/((a*d - b*c)^2*(m + 1)*(n + 1)) + (b^2*d^2*x^3*(a + b*x)^m*(c + d*x)^n*(m + n + 2))/((a*d - b*c)^2*(m + 1)*(n + 1)))/(f*x + (a*d*f + b*c*f + a*d*f*m + b*c*f*n)/(b*d*(m + n + 2)))^(m + n + 3)","B"
3153,1,354,101,3.662709,"\text{Not used}","int(((e + f*x)^((f*(a*d - b*c)*(m + 1))/(b*(c*f - d*e)) - 1)*(a + b*x)^m)/(c + d*x)^((d*(a*f - b*e)*(m + 1))/(b*(c*f - d*e)) + 1),x)","\frac{\frac{x^2\,{\left(e+f\,x\right)}^{\frac{f\,\left(a\,d-b\,c\right)\,\left(m+1\right)}{b\,\left(c\,f-d\,e\right)}-1}\,{\left(a+b\,x\right)}^m\,\left(b^2\,c\,f+b^2\,d\,e+a\,b\,d\,f\right)}{\left(a\,d-b\,c\right)\,\left(a\,f-b\,e\right)\,\left(m+1\right)}+\frac{b\,x\,{\left(e+f\,x\right)}^{\frac{f\,\left(a\,d-b\,c\right)\,\left(m+1\right)}{b\,\left(c\,f-d\,e\right)}-1}\,{\left(a+b\,x\right)}^m\,\left(a\,c\,f+a\,d\,e+b\,c\,e\right)}{\left(a\,d-b\,c\right)\,\left(a\,f-b\,e\right)\,\left(m+1\right)}+\frac{b^2\,d\,f\,x^3\,{\left(e+f\,x\right)}^{\frac{f\,\left(a\,d-b\,c\right)\,\left(m+1\right)}{b\,\left(c\,f-d\,e\right)}-1}\,{\left(a+b\,x\right)}^m}{\left(a\,d-b\,c\right)\,\left(a\,f-b\,e\right)\,\left(m+1\right)}+\frac{a\,b\,c\,e\,{\left(e+f\,x\right)}^{\frac{f\,\left(a\,d-b\,c\right)\,\left(m+1\right)}{b\,\left(c\,f-d\,e\right)}-1}\,{\left(a+b\,x\right)}^m}{\left(a\,d-b\,c\right)\,\left(a\,f-b\,e\right)\,\left(m+1\right)}}{{\left(c+d\,x\right)}^{\frac{d\,\left(a\,f-b\,e\right)\,\left(m+1\right)}{b\,\left(c\,f-d\,e\right)}+1}}","Not used",1,"((x^2*(e + f*x)^((f*(a*d - b*c)*(m + 1))/(b*(c*f - d*e)) - 1)*(a + b*x)^m*(b^2*c*f + b^2*d*e + a*b*d*f))/((a*d - b*c)*(a*f - b*e)*(m + 1)) + (b*x*(e + f*x)^((f*(a*d - b*c)*(m + 1))/(b*(c*f - d*e)) - 1)*(a + b*x)^m*(a*c*f + a*d*e + b*c*e))/((a*d - b*c)*(a*f - b*e)*(m + 1)) + (b^2*d*f*x^3*(e + f*x)^((f*(a*d - b*c)*(m + 1))/(b*(c*f - d*e)) - 1)*(a + b*x)^m)/((a*d - b*c)*(a*f - b*e)*(m + 1)) + (a*b*c*e*(e + f*x)^((f*(a*d - b*c)*(m + 1))/(b*(c*f - d*e)) - 1)*(a + b*x)^m)/((a*d - b*c)*(a*f - b*e)*(m + 1)))/(c + d*x)^((d*(a*f - b*e)*(m + 1))/(b*(c*f - d*e)) + 1)","B"
3154,0,-1,129,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n}} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n), x)","F"
3155,0,-1,137,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 1),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+1}} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 1), x)","F"
3156,0,-1,123,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 2),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+2}} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 2), x)","F"
3157,0,-1,227,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 3),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+3}} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 3), x)","F"
3158,0,-1,402,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 4),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^{m+n+4}} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^(m + n + 4), x)","F"
3159,0,-1,123,0.000000,"\text{Not used}","int((e + f*x)^p*(a + b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^p\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^p*(a + b*x)^m*(c + d*x)^n, x)","F"
3160,0,-1,259,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*x)^m*(c + d*x)^n,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)^2*(a + b*x)^m*(c + d*x)^n, x)","F"
3161,0,-1,131,0.000000,"\text{Not used}","int((e + f*x)*(a + b*x)^m*(c + d*x)^n,x)","\int \left(e+f\,x\right)\,{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((e + f*x)*(a + b*x)^m*(c + d*x)^n, x)","F"
3162,0,-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"
3163,0,-1,100,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x),x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x), x)","F"
3164,0,-1,101,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^2, x)","F"
3165,0,-1,103,0.000000,"\text{Not used}","int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)^m*(c + d*x)^n)/(e + f*x)^3, x)","F"
3166,0,-1,50,0.000000,"\text{Not used}","int((4*x + 3)^n/((1 - x)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{{\left(4\,x+3\right)}^n}{\sqrt{1-x}\,\sqrt{x+1}} \,d x","Not used",1,"int((4*x + 3)^n/((1 - x)^(1/2)*(x + 1)^(1/2)), x)","F"
3167,0,-1,43,0.000000,"\text{Not used}","int((3 - 4*x)^n/((1 - x)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{{\left(3-4\,x\right)}^n}{\sqrt{1-x}\,\sqrt{x+1}} \,d x","Not used",1,"int((3 - 4*x)^n/((1 - x)^(1/2)*(x + 1)^(1/2)), x)","F"
3168,0,-1,45,0.000000,"\text{Not used}","int((4*x - 3)^n/((1 - x)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{{\left(4\,x-3\right)}^n}{\sqrt{1-x}\,\sqrt{x+1}} \,d x","Not used",1,"int((4*x - 3)^n/((1 - x)^(1/2)*(x + 1)^(1/2)), x)","F"
3169,0,-1,38,0.000000,"\text{Not used}","int((- 4*x - 3)^n/((1 - x)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{{\left(-4\,x-3\right)}^n}{\sqrt{1-x}\,\sqrt{x+1}} \,d x","Not used",1,"int((- 4*x - 3)^n/((1 - x)^(1/2)*(x + 1)^(1/2)), x)","F"
3170,0,-1,100,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/((e + f*x)*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{\left(e+f\,x\right)\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(4/3)/((e + f*x)*(c + d*x)^(1/2)), x)","F"
3171,0,-1,123,0.000000,"\text{Not used}","int(((e + f*x)^(3/5)*(c + d*x)^(2/5))/(a + b*x)^(1/2),x)","\int \frac{{\left(e+f\,x\right)}^{3/5}\,{\left(c+d\,x\right)}^{2/5}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(((e + f*x)^(3/5)*(c + d*x)^(2/5))/(a + b*x)^(1/2), x)","F"
3172,0,-1,123,0.000000,"\text{Not used}","int(((e + f*x)^n*(a + b*x)^(1/2))/(c + d*x)^(1/2),x)","\int \frac{{\left(e+f\,x\right)}^n\,\sqrt{a+b\,x}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int(((e + f*x)^n*(a + b*x)^(1/2))/(c + d*x)^(1/2), x)","F"
3173,0,-1,121,0.000000,"\text{Not used}","int(((e + f*x)^n*(c + d*x)^(1/2))/(a + b*x)^(1/2),x)","\int \frac{{\left(e+f\,x\right)}^n\,\sqrt{c+d\,x}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(((e + f*x)^n*(c + d*x)^(1/2))/(a + b*x)^(1/2), x)","F"
3174,0,-1,128,0.000000,"\text{Not used}","int((e + f*x)^n/((a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","\int \frac{{\left(e+f\,x\right)}^n}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x)^n/((a + b*x)^(1/2)*(c + d*x)^(3/2)), x)","F"
3175,0,-1,121,0.000000,"\text{Not used}","int((e + f*x)^n/((a + b*x)^(3/2)*(c + d*x)^(1/2)),x)","\int \frac{{\left(e+f\,x\right)}^n}{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((e + f*x)^n/((a + b*x)^(3/2)*(c + d*x)^(1/2)), x)","F"
3176,0,-1,100,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/3))/(e + f*x),x)","\int \frac{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/3}}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(1/3))/(e + f*x), x)","F"
3177,0,-1,100,0.000000,"\text{Not used}","int(((a + b*x)^(1/3)*(c + d*x)^(1/2))/(e + f*x),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}\,\sqrt{c+d\,x}}{e+f\,x} \,d x","Not used",1,"int(((a + b*x)^(1/3)*(c + d*x)^(1/2))/(e + f*x), x)","F"
3178,0,-1,125,0.000000,"\text{Not used}","int((e + f*x)^(1/4)*(a + b*x)^(1/2)*(c + d*x)^(1/3),x)","\int {\left(e+f\,x\right)}^{1/4}\,\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/3} \,d x","Not used",1,"int((e + f*x)^(1/4)*(a + b*x)^(1/2)*(c + d*x)^(1/3), x)","F"
3179,0,-1,125,0.000000,"\text{Not used}","int((e + f*x)^(1/4)*(a + b*x)^(1/3)*(c + d*x)^(1/2),x)","\int {\left(e+f\,x\right)}^{1/4}\,{\left(a+b\,x\right)}^{1/3}\,\sqrt{c+d\,x} \,d x","Not used",1,"int((e + f*x)^(1/4)*(a + b*x)^(1/3)*(c + d*x)^(1/2), x)","F"
3180,1,2117,234,3.539756,"\text{Not used}","int((A + B*x)*(a + b*x)^4*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^4\,d^2\,e^4\,m^4-18\,B\,a^4\,d^2\,e^4\,m^3-119\,B\,a^4\,d^2\,e^4\,m^2-342\,B\,a^4\,d^2\,e^4\,m-360\,B\,a^4\,d^2\,e^4+A\,a^4\,d\,e^5\,m^5+20\,A\,a^4\,d\,e^5\,m^4+155\,A\,a^4\,d\,e^5\,m^3+580\,A\,a^4\,d\,e^5\,m^2+1044\,A\,a^4\,d\,e^5\,m+720\,A\,a^4\,d\,e^5+8\,B\,a^3\,b\,d^3\,e^3\,m^3+120\,B\,a^3\,b\,d^3\,e^3\,m^2+592\,B\,a^3\,b\,d^3\,e^3\,m+960\,B\,a^3\,b\,d^3\,e^3-4\,A\,a^3\,b\,d^2\,e^4\,m^4-72\,A\,a^3\,b\,d^2\,e^4\,m^3-476\,A\,a^3\,b\,d^2\,e^4\,m^2-1368\,A\,a^3\,b\,d^2\,e^4\,m-1440\,A\,a^3\,b\,d^2\,e^4-36\,B\,a^2\,b^2\,d^4\,e^2\,m^2-396\,B\,a^2\,b^2\,d^4\,e^2\,m-1080\,B\,a^2\,b^2\,d^4\,e^2+12\,A\,a^2\,b^2\,d^3\,e^3\,m^3+180\,A\,a^2\,b^2\,d^3\,e^3\,m^2+888\,A\,a^2\,b^2\,d^3\,e^3\,m+1440\,A\,a^2\,b^2\,d^3\,e^3+96\,B\,a\,b^3\,d^5\,e\,m+576\,B\,a\,b^3\,d^5\,e-24\,A\,a\,b^3\,d^4\,e^2\,m^2-264\,A\,a\,b^3\,d^4\,e^2\,m-720\,A\,a\,b^3\,d^4\,e^2-120\,B\,b^4\,d^6+24\,A\,b^4\,d^5\,e\,m+144\,A\,b^4\,d^5\,e\right)}{e^6\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(B\,a^4\,d\,e^5\,m^5+18\,B\,a^4\,d\,e^5\,m^4+119\,B\,a^4\,d\,e^5\,m^3+342\,B\,a^4\,d\,e^5\,m^2+360\,B\,a^4\,d\,e^5\,m+A\,a^4\,e^6\,m^5+20\,A\,a^4\,e^6\,m^4+155\,A\,a^4\,e^6\,m^3+580\,A\,a^4\,e^6\,m^2+1044\,A\,a^4\,e^6\,m+720\,A\,a^4\,e^6-8\,B\,a^3\,b\,d^2\,e^4\,m^4-120\,B\,a^3\,b\,d^2\,e^4\,m^3-592\,B\,a^3\,b\,d^2\,e^4\,m^2-960\,B\,a^3\,b\,d^2\,e^4\,m+4\,A\,a^3\,b\,d\,e^5\,m^5+72\,A\,a^3\,b\,d\,e^5\,m^4+476\,A\,a^3\,b\,d\,e^5\,m^3+1368\,A\,a^3\,b\,d\,e^5\,m^2+1440\,A\,a^3\,b\,d\,e^5\,m+36\,B\,a^2\,b^2\,d^3\,e^3\,m^3+396\,B\,a^2\,b^2\,d^3\,e^3\,m^2+1080\,B\,a^2\,b^2\,d^3\,e^3\,m-12\,A\,a^2\,b^2\,d^2\,e^4\,m^4-180\,A\,a^2\,b^2\,d^2\,e^4\,m^3-888\,A\,a^2\,b^2\,d^2\,e^4\,m^2-1440\,A\,a^2\,b^2\,d^2\,e^4\,m-96\,B\,a\,b^3\,d^4\,e^2\,m^2-576\,B\,a\,b^3\,d^4\,e^2\,m+24\,A\,a\,b^3\,d^3\,e^3\,m^3+264\,A\,a\,b^3\,d^3\,e^3\,m^2+720\,A\,a\,b^3\,d^3\,e^3\,m+120\,B\,b^4\,d^5\,e\,m-24\,A\,b^4\,d^4\,e^2\,m^2-144\,A\,b^4\,d^4\,e^2\,m\right)}{e^6\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(B\,a^4\,e^4\,m^4+18\,B\,a^4\,e^4\,m^3+119\,B\,a^4\,e^4\,m^2+342\,B\,a^4\,e^4\,m+360\,B\,a^4\,e^4+4\,B\,a^3\,b\,d\,e^3\,m^4+60\,B\,a^3\,b\,d\,e^3\,m^3+296\,B\,a^3\,b\,d\,e^3\,m^2+480\,B\,a^3\,b\,d\,e^3\,m+4\,A\,a^3\,b\,e^4\,m^4+72\,A\,a^3\,b\,e^4\,m^3+476\,A\,a^3\,b\,e^4\,m^2+1368\,A\,a^3\,b\,e^4\,m+1440\,A\,a^3\,b\,e^4-18\,B\,a^2\,b^2\,d^2\,e^2\,m^3-198\,B\,a^2\,b^2\,d^2\,e^2\,m^2-540\,B\,a^2\,b^2\,d^2\,e^2\,m+6\,A\,a^2\,b^2\,d\,e^3\,m^4+90\,A\,a^2\,b^2\,d\,e^3\,m^3+444\,A\,a^2\,b^2\,d\,e^3\,m^2+720\,A\,a^2\,b^2\,d\,e^3\,m+48\,B\,a\,b^3\,d^3\,e\,m^2+288\,B\,a\,b^3\,d^3\,e\,m-12\,A\,a\,b^3\,d^2\,e^2\,m^3-132\,A\,a\,b^3\,d^2\,e^2\,m^2-360\,A\,a\,b^3\,d^2\,e^2\,m-60\,B\,b^4\,d^4\,m+12\,A\,b^4\,d^3\,e\,m^2+72\,A\,b^4\,d^3\,e\,m\right)}{e^4\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{B\,b^4\,x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{b^2\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(6\,B\,a^2\,e^2\,m^2+66\,B\,a^2\,e^2\,m+180\,B\,a^2\,e^2+4\,B\,a\,b\,d\,e\,m^2+24\,B\,a\,b\,d\,e\,m+4\,A\,a\,b\,e^2\,m^2+44\,A\,a\,b\,e^2\,m+120\,A\,a\,b\,e^2-5\,B\,b^2\,d^2\,m+A\,b^2\,d\,e\,m^2+6\,A\,b^2\,d\,e\,m\right)}{e^2\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{b^3\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(6\,A\,b\,e+24\,B\,a\,e+A\,b\,e\,m+4\,B\,a\,e\,m+B\,b\,d\,m\right)}{e\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{2\,b\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(2\,B\,a^3\,e^3\,m^3+30\,B\,a^3\,e^3\,m^2+148\,B\,a^3\,e^3\,m+240\,B\,a^3\,e^3+3\,B\,a^2\,b\,d\,e^2\,m^3+33\,B\,a^2\,b\,d\,e^2\,m^2+90\,B\,a^2\,b\,d\,e^2\,m+3\,A\,a^2\,b\,e^3\,m^3+45\,A\,a^2\,b\,e^3\,m^2+222\,A\,a^2\,b\,e^3\,m+360\,A\,a^2\,b\,e^3-8\,B\,a\,b^2\,d^2\,e\,m^2-48\,B\,a\,b^2\,d^2\,e\,m+2\,A\,a\,b^2\,d\,e^2\,m^3+22\,A\,a\,b^2\,d\,e^2\,m^2+60\,A\,a\,b^2\,d\,e^2\,m+10\,B\,b^3\,d^3\,m-2\,A\,b^3\,d^2\,e\,m^2-12\,A\,b^3\,d^2\,e\,m\right)}{e^3\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}","Not used",1,"((d + e*x)^m*(720*A*a^4*d*e^5 - 120*B*b^4*d^6 + 144*A*b^4*d^5*e - 360*B*a^4*d^2*e^4 - 720*A*a*b^3*d^4*e^2 - 1440*A*a^3*b*d^2*e^4 + 960*B*a^3*b*d^3*e^3 + 580*A*a^4*d*e^5*m^2 + 155*A*a^4*d*e^5*m^3 + 20*A*a^4*d*e^5*m^4 + A*a^4*d*e^5*m^5 - 342*B*a^4*d^2*e^4*m + 1440*A*a^2*b^2*d^3*e^3 - 1080*B*a^2*b^2*d^4*e^2 - 119*B*a^4*d^2*e^4*m^2 - 18*B*a^4*d^2*e^4*m^3 - B*a^4*d^2*e^4*m^4 + 576*B*a*b^3*d^5*e + 1044*A*a^4*d*e^5*m + 24*A*b^4*d^5*e*m + 888*A*a^2*b^2*d^3*e^3*m - 24*A*a*b^3*d^4*e^2*m^2 - 476*A*a^3*b*d^2*e^4*m^2 - 72*A*a^3*b*d^2*e^4*m^3 - 4*A*a^3*b*d^2*e^4*m^4 - 396*B*a^2*b^2*d^4*e^2*m + 120*B*a^3*b*d^3*e^3*m^2 + 8*B*a^3*b*d^3*e^3*m^3 + 96*B*a*b^3*d^5*e*m + 180*A*a^2*b^2*d^3*e^3*m^2 + 12*A*a^2*b^2*d^3*e^3*m^3 - 36*B*a^2*b^2*d^4*e^2*m^2 - 264*A*a*b^3*d^4*e^2*m - 1368*A*a^3*b*d^2*e^4*m + 592*B*a^3*b*d^3*e^3*m))/(e^6*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x*(d + e*x)^m*(720*A*a^4*e^6 + 1044*A*a^4*e^6*m + 580*A*a^4*e^6*m^2 + 155*A*a^4*e^6*m^3 + 20*A*a^4*e^6*m^4 + A*a^4*e^6*m^5 - 144*A*b^4*d^4*e^2*m + 342*B*a^4*d*e^5*m^2 + 119*B*a^4*d*e^5*m^3 + 18*B*a^4*d*e^5*m^4 + B*a^4*d*e^5*m^5 - 24*A*b^4*d^4*e^2*m^2 + 360*B*a^4*d*e^5*m + 120*B*b^4*d^5*e*m - 1440*A*a^2*b^2*d^2*e^4*m + 264*A*a*b^3*d^3*e^3*m^2 + 24*A*a*b^3*d^3*e^3*m^3 + 1080*B*a^2*b^2*d^3*e^3*m - 96*B*a*b^3*d^4*e^2*m^2 - 592*B*a^3*b*d^2*e^4*m^2 - 120*B*a^3*b*d^2*e^4*m^3 - 8*B*a^3*b*d^2*e^4*m^4 + 1440*A*a^3*b*d*e^5*m - 888*A*a^2*b^2*d^2*e^4*m^2 - 180*A*a^2*b^2*d^2*e^4*m^3 - 12*A*a^2*b^2*d^2*e^4*m^4 + 396*B*a^2*b^2*d^3*e^3*m^2 + 36*B*a^2*b^2*d^3*e^3*m^3 + 720*A*a*b^3*d^3*e^3*m + 1368*A*a^3*b*d*e^5*m^2 + 476*A*a^3*b*d*e^5*m^3 + 72*A*a^3*b*d*e^5*m^4 + 4*A*a^3*b*d*e^5*m^5 - 576*B*a*b^3*d^4*e^2*m - 960*B*a^3*b*d^2*e^4*m))/(e^6*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x^2*(m + 1)*(d + e*x)^m*(360*B*a^4*e^4 + 1440*A*a^3*b*e^4 + 342*B*a^4*e^4*m - 60*B*b^4*d^4*m + 119*B*a^4*e^4*m^2 + 18*B*a^4*e^4*m^3 + B*a^4*e^4*m^4 + 476*A*a^3*b*e^4*m^2 + 72*A*a^3*b*e^4*m^3 + 4*A*a^3*b*e^4*m^4 + 12*A*b^4*d^3*e*m^2 + 1368*A*a^3*b*e^4*m + 72*A*b^4*d^3*e*m - 132*A*a*b^3*d^2*e^2*m^2 + 444*A*a^2*b^2*d*e^3*m^2 - 12*A*a*b^3*d^2*e^2*m^3 + 90*A*a^2*b^2*d*e^3*m^3 + 6*A*a^2*b^2*d*e^3*m^4 - 540*B*a^2*b^2*d^2*e^2*m + 288*B*a*b^3*d^3*e*m + 480*B*a^3*b*d*e^3*m - 198*B*a^2*b^2*d^2*e^2*m^2 - 18*B*a^2*b^2*d^2*e^2*m^3 - 360*A*a*b^3*d^2*e^2*m + 720*A*a^2*b^2*d*e^3*m + 48*B*a*b^3*d^3*e*m^2 + 296*B*a^3*b*d*e^3*m^2 + 60*B*a^3*b*d*e^3*m^3 + 4*B*a^3*b*d*e^3*m^4))/(e^4*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (B*b^4*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (b^2*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(180*B*a^2*e^2 + 120*A*a*b*e^2 + 66*B*a^2*e^2*m - 5*B*b^2*d^2*m + 6*B*a^2*e^2*m^2 + 44*A*a*b*e^2*m + 6*A*b^2*d*e*m + 4*A*a*b*e^2*m^2 + A*b^2*d*e*m^2 + 24*B*a*b*d*e*m + 4*B*a*b*d*e*m^2))/(e^2*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (b^3*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(6*A*b*e + 24*B*a*e + A*b*e*m + 4*B*a*e*m + B*b*d*m))/(e*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (2*b*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(240*B*a^3*e^3 + 360*A*a^2*b*e^3 + 148*B*a^3*e^3*m + 10*B*b^3*d^3*m + 30*B*a^3*e^3*m^2 + 2*B*a^3*e^3*m^3 + 45*A*a^2*b*e^3*m^2 + 3*A*a^2*b*e^3*m^3 - 2*A*b^3*d^2*e*m^2 + 222*A*a^2*b*e^3*m - 12*A*b^3*d^2*e*m + 60*A*a*b^2*d*e^2*m - 48*B*a*b^2*d^2*e*m + 90*B*a^2*b*d*e^2*m + 22*A*a*b^2*d*e^2*m^2 + 2*A*a*b^2*d*e^2*m^3 - 8*B*a*b^2*d^2*e*m^2 + 33*B*a^2*b*d*e^2*m^2 + 3*B*a^2*b*d*e^2*m^3))/(e^3*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
3181,1,1273,186,3.031687,"\text{Not used}","int((A + B*x)*(a + b*x)^3*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^3\,d^2\,e^3\,m^3-12\,B\,a^3\,d^2\,e^3\,m^2-47\,B\,a^3\,d^2\,e^3\,m-60\,B\,a^3\,d^2\,e^3+A\,a^3\,d\,e^4\,m^4+14\,A\,a^3\,d\,e^4\,m^3+71\,A\,a^3\,d\,e^4\,m^2+154\,A\,a^3\,d\,e^4\,m+120\,A\,a^3\,d\,e^4+6\,B\,a^2\,b\,d^3\,e^2\,m^2+54\,B\,a^2\,b\,d^3\,e^2\,m+120\,B\,a^2\,b\,d^3\,e^2-3\,A\,a^2\,b\,d^2\,e^3\,m^3-36\,A\,a^2\,b\,d^2\,e^3\,m^2-141\,A\,a^2\,b\,d^2\,e^3\,m-180\,A\,a^2\,b\,d^2\,e^3-18\,B\,a\,b^2\,d^4\,e\,m-90\,B\,a\,b^2\,d^4\,e+6\,A\,a\,b^2\,d^3\,e^2\,m^2+54\,A\,a\,b^2\,d^3\,e^2\,m+120\,A\,a\,b^2\,d^3\,e^2+24\,B\,b^3\,d^5-6\,A\,b^3\,d^4\,e\,m-30\,A\,b^3\,d^4\,e\right)}{e^5\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(B\,a^3\,d\,e^4\,m^4+12\,B\,a^3\,d\,e^4\,m^3+47\,B\,a^3\,d\,e^4\,m^2+60\,B\,a^3\,d\,e^4\,m+A\,a^3\,e^5\,m^4+14\,A\,a^3\,e^5\,m^3+71\,A\,a^3\,e^5\,m^2+154\,A\,a^3\,e^5\,m+120\,A\,a^3\,e^5-6\,B\,a^2\,b\,d^2\,e^3\,m^3-54\,B\,a^2\,b\,d^2\,e^3\,m^2-120\,B\,a^2\,b\,d^2\,e^3\,m+3\,A\,a^2\,b\,d\,e^4\,m^4+36\,A\,a^2\,b\,d\,e^4\,m^3+141\,A\,a^2\,b\,d\,e^4\,m^2+180\,A\,a^2\,b\,d\,e^4\,m+18\,B\,a\,b^2\,d^3\,e^2\,m^2+90\,B\,a\,b^2\,d^3\,e^2\,m-6\,A\,a\,b^2\,d^2\,e^3\,m^3-54\,A\,a\,b^2\,d^2\,e^3\,m^2-120\,A\,a\,b^2\,d^2\,e^3\,m-24\,B\,b^3\,d^4\,e\,m+6\,A\,b^3\,d^3\,e^2\,m^2+30\,A\,b^3\,d^3\,e^2\,m\right)}{e^5\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(B\,a^3\,e^3\,m^3+12\,B\,a^3\,e^3\,m^2+47\,B\,a^3\,e^3\,m+60\,B\,a^3\,e^3+3\,B\,a^2\,b\,d\,e^2\,m^3+27\,B\,a^2\,b\,d\,e^2\,m^2+60\,B\,a^2\,b\,d\,e^2\,m+3\,A\,a^2\,b\,e^3\,m^3+36\,A\,a^2\,b\,e^3\,m^2+141\,A\,a^2\,b\,e^3\,m+180\,A\,a^2\,b\,e^3-9\,B\,a\,b^2\,d^2\,e\,m^2-45\,B\,a\,b^2\,d^2\,e\,m+3\,A\,a\,b^2\,d\,e^2\,m^3+27\,A\,a\,b^2\,d\,e^2\,m^2+60\,A\,a\,b^2\,d\,e^2\,m+12\,B\,b^3\,d^3\,m-3\,A\,b^3\,d^2\,e\,m^2-15\,A\,b^3\,d^2\,e\,m\right)}{e^3\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}+\frac{B\,b^3\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}{m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120}+\frac{b^2\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(5\,A\,b\,e+15\,B\,a\,e+A\,b\,e\,m+3\,B\,a\,e\,m+B\,b\,d\,m\right)}{e\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}+\frac{b\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(3\,B\,a^2\,e^2\,m^2+27\,B\,a^2\,e^2\,m+60\,B\,a^2\,e^2+3\,B\,a\,b\,d\,e\,m^2+15\,B\,a\,b\,d\,e\,m+3\,A\,a\,b\,e^2\,m^2+27\,A\,a\,b\,e^2\,m+60\,A\,a\,b\,e^2-4\,B\,b^2\,d^2\,m+A\,b^2\,d\,e\,m^2+5\,A\,b^2\,d\,e\,m\right)}{e^2\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}","Not used",1,"((d + e*x)^m*(24*B*b^3*d^5 + 120*A*a^3*d*e^4 - 30*A*b^3*d^4*e - 60*B*a^3*d^2*e^3 + 120*A*a*b^2*d^3*e^2 - 180*A*a^2*b*d^2*e^3 + 120*B*a^2*b*d^3*e^2 + 71*A*a^3*d*e^4*m^2 + 14*A*a^3*d*e^4*m^3 + A*a^3*d*e^4*m^4 - 47*B*a^3*d^2*e^3*m - 12*B*a^3*d^2*e^3*m^2 - B*a^3*d^2*e^3*m^3 - 90*B*a*b^2*d^4*e + 154*A*a^3*d*e^4*m - 6*A*b^3*d^4*e*m + 6*A*a*b^2*d^3*e^2*m^2 - 36*A*a^2*b*d^2*e^3*m^2 - 3*A*a^2*b*d^2*e^3*m^3 + 6*B*a^2*b*d^3*e^2*m^2 - 18*B*a*b^2*d^4*e*m + 54*A*a*b^2*d^3*e^2*m - 141*A*a^2*b*d^2*e^3*m + 54*B*a^2*b*d^3*e^2*m))/(e^5*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)) + (x*(d + e*x)^m*(120*A*a^3*e^5 + 154*A*a^3*e^5*m + 71*A*a^3*e^5*m^2 + 14*A*a^3*e^5*m^3 + A*a^3*e^5*m^4 + 30*A*b^3*d^3*e^2*m + 47*B*a^3*d*e^4*m^2 + 12*B*a^3*d*e^4*m^3 + B*a^3*d*e^4*m^4 + 6*A*b^3*d^3*e^2*m^2 + 60*B*a^3*d*e^4*m - 24*B*b^3*d^4*e*m - 54*A*a*b^2*d^2*e^3*m^2 - 6*A*a*b^2*d^2*e^3*m^3 + 18*B*a*b^2*d^3*e^2*m^2 - 54*B*a^2*b*d^2*e^3*m^2 - 6*B*a^2*b*d^2*e^3*m^3 + 180*A*a^2*b*d*e^4*m - 120*A*a*b^2*d^2*e^3*m + 141*A*a^2*b*d*e^4*m^2 + 36*A*a^2*b*d*e^4*m^3 + 3*A*a^2*b*d*e^4*m^4 + 90*B*a*b^2*d^3*e^2*m - 120*B*a^2*b*d^2*e^3*m))/(e^5*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)) + (x^2*(m + 1)*(d + e*x)^m*(60*B*a^3*e^3 + 180*A*a^2*b*e^3 + 47*B*a^3*e^3*m + 12*B*b^3*d^3*m + 12*B*a^3*e^3*m^2 + B*a^3*e^3*m^3 + 36*A*a^2*b*e^3*m^2 + 3*A*a^2*b*e^3*m^3 - 3*A*b^3*d^2*e*m^2 + 141*A*a^2*b*e^3*m - 15*A*b^3*d^2*e*m + 60*A*a*b^2*d*e^2*m - 45*B*a*b^2*d^2*e*m + 60*B*a^2*b*d*e^2*m + 27*A*a*b^2*d*e^2*m^2 + 3*A*a*b^2*d*e^2*m^3 - 9*B*a*b^2*d^2*e*m^2 + 27*B*a^2*b*d*e^2*m^2 + 3*B*a^2*b*d*e^2*m^3))/(e^3*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)) + (B*b^3*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))/(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120) + (b^2*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(5*A*b*e + 15*B*a*e + A*b*e*m + 3*B*a*e*m + B*b*d*m))/(e*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)) + (b*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(60*B*a^2*e^2 + 60*A*a*b*e^2 + 27*B*a^2*e^2*m - 4*B*b^2*d^2*m + 3*B*a^2*e^2*m^2 + 27*A*a*b*e^2*m + 5*A*b^2*d*e*m + 3*A*a*b*e^2*m^2 + A*b^2*d*e*m^2 + 15*B*a*b*d*e*m + 3*B*a*b*d*e*m^2))/(e^2*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))","B"
3182,1,676,138,2.770232,"\text{Not used}","int((A + B*x)*(a + b*x)^2*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^2\,d^2\,e^2\,m^2-7\,B\,a^2\,d^2\,e^2\,m-12\,B\,a^2\,d^2\,e^2+A\,a^2\,d\,e^3\,m^3+9\,A\,a^2\,d\,e^3\,m^2+26\,A\,a^2\,d\,e^3\,m+24\,A\,a^2\,d\,e^3+4\,B\,a\,b\,d^3\,e\,m+16\,B\,a\,b\,d^3\,e-2\,A\,a\,b\,d^2\,e^2\,m^2-14\,A\,a\,b\,d^2\,e^2\,m-24\,A\,a\,b\,d^2\,e^2-6\,B\,b^2\,d^4+2\,A\,b^2\,d^3\,e\,m+8\,A\,b^2\,d^3\,e\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(B\,a^2\,d\,e^3\,m^3+7\,B\,a^2\,d\,e^3\,m^2+12\,B\,a^2\,d\,e^3\,m+A\,a^2\,e^4\,m^3+9\,A\,a^2\,e^4\,m^2+26\,A\,a^2\,e^4\,m+24\,A\,a^2\,e^4-4\,B\,a\,b\,d^2\,e^2\,m^2-16\,B\,a\,b\,d^2\,e^2\,m+2\,A\,a\,b\,d\,e^3\,m^3+14\,A\,a\,b\,d\,e^3\,m^2+24\,A\,a\,b\,d\,e^3\,m+6\,B\,b^2\,d^3\,e\,m-2\,A\,b^2\,d^2\,e^2\,m^2-8\,A\,b^2\,d^2\,e^2\,m\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(B\,a^2\,e^2\,m^2+7\,B\,a^2\,e^2\,m+12\,B\,a^2\,e^2+2\,B\,a\,b\,d\,e\,m^2+8\,B\,a\,b\,d\,e\,m+2\,A\,a\,b\,e^2\,m^2+14\,A\,a\,b\,e^2\,m+24\,A\,a\,b\,e^2-3\,B\,b^2\,d^2\,m+A\,b^2\,d\,e\,m^2+4\,A\,b^2\,d\,e\,m\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{B\,b^2\,x^4\,{\left(d+e\,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{b\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(4\,A\,b\,e+8\,B\,a\,e+A\,b\,e\,m+2\,B\,a\,e\,m+B\,b\,d\,m\right)}{e\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"((d + e*x)^m*(24*A*a^2*d*e^3 - 6*B*b^2*d^4 + 8*A*b^2*d^3*e - 12*B*a^2*d^2*e^2 + 9*A*a^2*d*e^3*m^2 + A*a^2*d*e^3*m^3 - 7*B*a^2*d^2*e^2*m + 16*B*a*b*d^3*e - B*a^2*d^2*e^2*m^2 - 24*A*a*b*d^2*e^2 + 26*A*a^2*d*e^3*m + 2*A*b^2*d^3*e*m - 14*A*a*b*d^2*e^2*m - 2*A*a*b*d^2*e^2*m^2 + 4*B*a*b*d^3*e*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x*(d + e*x)^m*(24*A*a^2*e^4 + 26*A*a^2*e^4*m + 9*A*a^2*e^4*m^2 + A*a^2*e^4*m^3 - 8*A*b^2*d^2*e^2*m + 7*B*a^2*d*e^3*m^2 + B*a^2*d*e^3*m^3 - 2*A*b^2*d^2*e^2*m^2 + 12*B*a^2*d*e^3*m + 6*B*b^2*d^3*e*m + 14*A*a*b*d*e^3*m^2 + 2*A*a*b*d*e^3*m^3 - 16*B*a*b*d^2*e^2*m - 4*B*a*b*d^2*e^2*m^2 + 24*A*a*b*d*e^3*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^2*(m + 1)*(d + e*x)^m*(12*B*a^2*e^2 + 24*A*a*b*e^2 + 7*B*a^2*e^2*m - 3*B*b^2*d^2*m + B*a^2*e^2*m^2 + 14*A*a*b*e^2*m + 4*A*b^2*d*e*m + 2*A*a*b*e^2*m^2 + A*b^2*d*e*m^2 + 8*B*a*b*d*e*m + 2*B*a*b*d*e*m^2))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (B*b^2*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (b*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(4*A*b*e + 8*B*a*e + A*b*e*m + 2*B*a*e*m + B*b*d*m))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
3183,1,259,90,2.561336,"\text{Not used}","int((A + B*x)*(a + b*x)*(d + e*x)^m,x)","{\left(d+e\,x\right)}^m\,\left(\frac{x\,\left(6\,A\,a\,e^3+5\,A\,a\,e^3\,m+A\,a\,e^3\,m^2+3\,A\,b\,d\,e^2\,m+3\,B\,a\,d\,e^2\,m-2\,B\,b\,d^2\,e\,m+A\,b\,d\,e^2\,m^2+B\,a\,d\,e^2\,m^2\right)}{e^3\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{d\,\left(6\,A\,a\,e^2+2\,B\,b\,d^2+5\,A\,a\,e^2\,m+A\,a\,e^2\,m^2-3\,A\,b\,d\,e-3\,B\,a\,d\,e-A\,b\,d\,e\,m-B\,a\,d\,e\,m\right)}{e^3\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{B\,b\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}+\frac{x^2\,\left(m+1\right)\,\left(3\,A\,b\,e+3\,B\,a\,e+A\,b\,e\,m+B\,a\,e\,m+B\,b\,d\,m\right)}{e\,\left(m^3+6\,m^2+11\,m+6\right)}\right)","Not used",1,"(d + e*x)^m*((x*(6*A*a*e^3 + 5*A*a*e^3*m + A*a*e^3*m^2 + 3*A*b*d*e^2*m + 3*B*a*d*e^2*m - 2*B*b*d^2*e*m + A*b*d*e^2*m^2 + B*a*d*e^2*m^2))/(e^3*(11*m + 6*m^2 + m^3 + 6)) + (d*(6*A*a*e^2 + 2*B*b*d^2 + 5*A*a*e^2*m + A*a*e^2*m^2 - 3*A*b*d*e - 3*B*a*d*e - A*b*d*e*m - B*a*d*e*m))/(e^3*(11*m + 6*m^2 + m^3 + 6)) + (B*b*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6) + (x^2*(m + 1)*(3*A*b*e + 3*B*a*e + A*b*e*m + B*a*e*m + B*b*d*m))/(e*(11*m + 6*m^2 + m^3 + 6)))","B"
3184,1,88,47,2.604229,"\text{Not used}","int((A + B*x)*(d + e*x)^m,x)","{\left(d+e\,x\right)}^m\,\left(\frac{x\,\left(2\,A\,e^2+A\,e^2\,m+B\,d\,e\,m\right)}{e^2\,\left(m^2+3\,m+2\right)}+\frac{B\,x^2\,\left(m+1\right)}{m^2+3\,m+2}+\frac{d\,\left(2\,A\,e-B\,d+A\,e\,m\right)}{e^2\,\left(m^2+3\,m+2\right)}\right)","Not used",1,"(d + e*x)^m*((x*(2*A*e^2 + A*e^2*m + B*d*e*m))/(e^2*(3*m + m^2 + 2)) + (B*x^2*(m + 1))/(3*m + m^2 + 2) + (d*(2*A*e - B*d + A*e*m))/(e^2*(3*m + m^2 + 2)))","B"
3185,0,-1,85,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a + b*x),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{a+b\,x} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a + b*x), x)","F"
3186,0,-1,112,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a + b*x)^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a + b*x)^2, x)","F"
3187,1,313,91,0.261732,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^m*(5*x + 3)^3,x)","{\left(3\,x+2\right)}^m\,\left(\frac{1458\,m^4+17496\,m^3+66366\,m^2+99240\,m+48800}{81\,m^5+1215\,m^4+6885\,m^3+18225\,m^2+22194\,m+9720}-\frac{x^3\,\left(21195\,m^4+148140\,m^3+368955\,m^2+387810\,m+145800\right)}{81\,m^5+1215\,m^4+6885\,m^3+18225\,m^2+22194\,m+9720}+\frac{x^2\,\left(4131\,m^4+96093\,m^3+455229\,m^2+756927\,m+393660\right)}{81\,m^5+1215\,m^4+6885\,m^3+18225\,m^2+22194\,m+9720}-\frac{x^5\,\left(20250\,m^4+202500\,m^3+708750\,m^2+1012500\,m+486000\right)}{81\,m^5+1215\,m^4+6885\,m^3+18225\,m^2+22194\,m+9720}-\frac{x^4\,\left(39825\,m^4+370575\,m^3+1227825\,m^2+1686825\,m+789750\right)}{81\,m^5+1215\,m^4+6885\,m^3+18225\,m^2+22194\,m+9720}+\frac{x\,\left(6561\,m^4+86346\,m^3+343215\,m^2+526038\,m+262440\right)}{81\,m^5+1215\,m^4+6885\,m^3+18225\,m^2+22194\,m+9720}\right)","Not used",1,"(3*x + 2)^m*((99240*m + 66366*m^2 + 17496*m^3 + 1458*m^4 + 48800)/(22194*m + 18225*m^2 + 6885*m^3 + 1215*m^4 + 81*m^5 + 9720) - (x^3*(387810*m + 368955*m^2 + 148140*m^3 + 21195*m^4 + 145800))/(22194*m + 18225*m^2 + 6885*m^3 + 1215*m^4 + 81*m^5 + 9720) + (x^2*(756927*m + 455229*m^2 + 96093*m^3 + 4131*m^4 + 393660))/(22194*m + 18225*m^2 + 6885*m^3 + 1215*m^4 + 81*m^5 + 9720) - (x^5*(1012500*m + 708750*m^2 + 202500*m^3 + 20250*m^4 + 486000))/(22194*m + 18225*m^2 + 6885*m^3 + 1215*m^4 + 81*m^5 + 9720) - (x^4*(1686825*m + 1227825*m^2 + 370575*m^3 + 39825*m^4 + 789750))/(22194*m + 18225*m^2 + 6885*m^3 + 1215*m^4 + 81*m^5 + 9720) + (x*(526038*m + 343215*m^2 + 86346*m^3 + 6561*m^4 + 262440))/(22194*m + 18225*m^2 + 6885*m^3 + 1215*m^4 + 81*m^5 + 9720))","B"
3188,1,211,73,2.536925,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^m*(5*x + 3)^2,x)","{\left(3\,x+2\right)}^m\,\left(\frac{162\,m^3+1314\,m^2+2644\,m+1520}{27\,m^4+270\,m^3+945\,m^2+1350\,m+648}+\frac{x\,\left(459\,m^3+4539\,m^2+9870\,m+5832\right)}{27\,m^4+270\,m^3+945\,m^2+1350\,m+648}+\frac{x^2\,\left(-306\,m^3+1242\,m^2+5436\,m+3888\right)}{27\,m^4+270\,m^3+945\,m^2+1350\,m+648}-\frac{x^4\,\left(1350\,m^3+8100\,m^2+14850\,m+8100\right)}{27\,m^4+270\,m^3+945\,m^2+1350\,m+648}-\frac{x^3\,\left(1845\,m^3+9315\,m^2+15030\,m+7560\right)}{27\,m^4+270\,m^3+945\,m^2+1350\,m+648}\right)","Not used",1,"(3*x + 2)^m*((2644*m + 1314*m^2 + 162*m^3 + 1520)/(1350*m + 945*m^2 + 270*m^3 + 27*m^4 + 648) + (x*(9870*m + 4539*m^2 + 459*m^3 + 5832))/(1350*m + 945*m^2 + 270*m^3 + 27*m^4 + 648) + (x^2*(5436*m + 1242*m^2 - 306*m^3 + 3888))/(1350*m + 945*m^2 + 270*m^3 + 27*m^4 + 648) - (x^4*(14850*m + 8100*m^2 + 1350*m^3 + 8100))/(1350*m + 945*m^2 + 270*m^3 + 27*m^4 + 648) - (x^3*(15030*m + 9315*m^2 + 1845*m^3 + 7560))/(1350*m + 945*m^2 + 270*m^3 + 27*m^4 + 648))","B"
3189,1,130,55,0.105583,"\text{Not used}","int(-(2*x - 1)*(3*x + 2)^m*(5*x + 3),x)","{\left(3\,x+2\right)}^m\,\left(\frac{54\,m^2+282\,m+200}{27\,m^3+162\,m^2+297\,m+162}+\frac{x\,\left(63\,m^2+591\,m+486\right)}{27\,m^3+162\,m^2+297\,m+162}-\frac{x^2\,\left(207\,m^2+288\,m+81\right)}{27\,m^3+162\,m^2+297\,m+162}-\frac{x^3\,\left(270\,m^2+810\,m+540\right)}{27\,m^3+162\,m^2+297\,m+162}\right)","Not used",1,"(3*x + 2)^m*((282*m + 54*m^2 + 200)/(297*m + 162*m^2 + 27*m^3 + 162) + (x*(591*m + 63*m^2 + 486))/(297*m + 162*m^2 + 27*m^3 + 162) - (x^2*(288*m + 207*m^2 + 81))/(297*m + 162*m^2 + 27*m^3 + 162) - (x^3*(810*m + 270*m^2 + 540))/(297*m + 162*m^2 + 27*m^3 + 162))","B"
3190,0,-1,52,0.000000,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^m)/(5*x + 3),x)","-\int \frac{\left(2\,x-1\right)\,{\left(3\,x+2\right)}^m}{5\,x+3} \,d x","Not used",1,"-int(((2*x - 1)*(3*x + 2)^m)/(5*x + 3), x)","F"
3191,0,-1,59,0.000000,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^m)/(5*x + 3)^2,x)","-\int \frac{\left(2\,x-1\right)\,{\left(3\,x+2\right)}^m}{{\left(5\,x+3\right)}^2} \,d x","Not used",1,"-int(((2*x - 1)*(3*x + 2)^m)/(5*x + 3)^2, x)","F"
3192,0,-1,59,0.000000,"\text{Not used}","int(-((2*x - 1)*(3*x + 2)^m)/(5*x + 3)^3,x)","-\int \frac{\left(2\,x-1\right)\,{\left(3\,x+2\right)}^m}{{\left(5\,x+3\right)}^3} \,d x","Not used",1,"-int(((2*x - 1)*(3*x + 2)^m)/(5*x + 3)^3, x)","F"
3193,0,-1,90,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(5*x + 3)^3)/(2*x - 1),x)","\int -\frac{{\left(3\,x+2\right)}^m\,{\left(5\,x+3\right)}^3}{2\,x-1} \,d x","Not used",1,"int(-((3*x + 2)^m*(5*x + 3)^3)/(2*x - 1), x)","F"
3194,0,-1,72,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(5*x + 3)^2)/(2*x - 1),x)","\int -\frac{{\left(3\,x+2\right)}^m\,{\left(5\,x+3\right)}^2}{2\,x-1} \,d x","Not used",1,"int(-((3*x + 2)^m*(5*x + 3)^2)/(2*x - 1), x)","F"
3195,0,-1,54,0.000000,"\text{Not used}","int(-((3*x + 2)^m*(5*x + 3))/(2*x - 1),x)","\int -\frac{{\left(3\,x+2\right)}^m\,\left(5\,x+3\right)}{2\,x-1} \,d x","Not used",1,"int(-((3*x + 2)^m*(5*x + 3))/(2*x - 1), x)","F"
3196,0,-1,69,0.000000,"\text{Not used}","int(-(3*x + 2)^m/((2*x - 1)*(5*x + 3)),x)","\int -\frac{{\left(3\,x+2\right)}^m}{\left(2\,x-1\right)\,\left(5\,x+3\right)} \,d x","Not used",1,"int(-(3*x + 2)^m/((2*x - 1)*(5*x + 3)), x)","F"
3197,0,-1,94,0.000000,"\text{Not used}","int(-(3*x + 2)^m/((2*x - 1)*(5*x + 3)^2),x)","-\int \frac{{\left(3\,x+2\right)}^m}{\left(2\,x-1\right)\,{\left(5\,x+3\right)}^2} \,d x","Not used",1,"-int((3*x + 2)^m/((2*x - 1)*(5*x + 3)^2), x)","F"
3198,0,-1,124,0.000000,"\text{Not used}","int(-(3*x + 2)^m/((2*x - 1)*(5*x + 3)^3),x)","\int -\frac{{\left(3\,x+2\right)}^m}{\left(2\,x-1\right)\,{\left(5\,x+3\right)}^3} \,d x","Not used",1,"int(-(3*x + 2)^m/((2*x - 1)*(5*x + 3)^3), x)","F"
3199,0,-1,52,0.000000,"\text{Not used}","int((a + b*x)^m/(e + f*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*x)^m/(e + f*x)^2, x)","F"
3200,0,-1,187,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)), x)","F"
3201,0,-1,281,0.000000,"\text{Not used}","int((a + b*x)^m/((e + f*x)^2*(c + d*x)^2),x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(e+f\,x\right)}^2\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b*x)^m/((e + f*x)^2*(c + d*x)^2), x)","F"